Answer: 5/2187
Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).
a (sub) n = a (sub) 8a (sub) 1 = 5ratio = 1/3(n-1) = 7A desk is on sale for $119, which is 65% less than the regular price.
Answer:
320 would be the regular price
Step-by-step explanation:
In order to pass your final assessment you must answer 75% of the questions correctly.There are 84 questions then I must get how many questions correct to pass
Answer:
63 answers
Hope this helps :p
The total number of questions to be answered correctly so that 75% of answers are correct is 63.
∵ To pass the assessment, the percentage of questions to be answered correctly = 75.
That means, for every 100 questions, the number of correct answers required = 75
∴ For 1 question, the number of correct answers required= 75/100
=3/4
But, the total number of questions in the assessment = 84
∴ For 84 questions, the number of correct answers required = 3/4×84
= 63
Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.
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The following are equivalent radicals
3√3 = √27
-
3√6 = √54
3√7 = √63
What would be an equivalent form of 3√11 ? Explain
how you know.
Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal.
Answer:
Since Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour, we can use the following system of inequalities to represent the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal:
3w + 6r ≥ 36
3w + 6r ≤ 90
The first inequality states that the total number of miles Keitaro walks and runs must be at least 36 miles per month. The second inequality states that the total number of miles Keitaro walks and runs must not exceed 90 miles per month.
Which of the following is a solution to this inequality?
y<2/3x+2
(0, 3)
(−3, 1)
(3, 5)
(1, 2)
Answer:
(d) (1, 2)
Step-by-step explanation:
You want to know which of the given points satisfies the inequality.
GraphWe find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)
__
Additional comment
Another way to choose the answer is to try each of the points in the inequality.
If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).
You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.
So I need to fill out a proof of income for food stamps and I need to write down how much I made for each of these months jan feb and March now I can't go under the amount of gross income which in total is 2495 with the net being 1920 so what amount would I put to be over just a little of that for each month
Answer:
Step-by-step explanation:
To calculate how much you need to earn each month (January, February, and March) to be just over the gross income of $2495, you can divide that amount by 3 (since there are 3 months) and then add a small amount to ensure that you are over the limit. Here's how you can do that:
1) Divide the gross income by 3:
$2495 ÷ 3 = $831.67 (rounded to the nearest cent)
2) Add a small amount to each month's income to ensure that you are over the limit. You could add $1 or $5, for example. Let's say you add $5 to each month:
January: $831.67 + $5 = $836.67
February: $831.67 + $5 = $836.67
March: $831.67 + $5 = $836.67
So for each month, you should report an income of $836.67 (or whatever amount you calculated using the method above) to ensure that you are over the gross income limit of $2495.
Task 1abcd: Suppose we have n = 60 puppies (across several litters from these two dogs). For the sample, we have the (previously observed) sample proportion
= 0.3833.
Suppose we wanted to use this sample to determine if there is evidence that p = the population proportion of puppies who are spotted is greater than 0.25.
a. State the hypotheses about the population proportion p.
H0:
H1:
H0 is the null hypothesis stating with that the population proportion of
puppies who are spotted is less than or equal to 0.25,
H0: p <= 0.25
H1: p > 0.25
Why do you use the term "hypothesis"?In a scientific setting, a hypothesis (plural: hypotheses) is a tested
claim regarding the causal connection between two or more variables
or a suggested explanation for a phenomenon that has been
observed.
where H0 is the null hypothesis stating that the population proportion
of puppies who are spotted is less than or equal to 0.25, and H1 is the
alternative hypothesis stating that the population proportion of puppies
who are spotted is greater than 0.25.
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Geometry task!!!
Please help for all three , a) , b) , and c)
The power emitted by the star's surface is much greater than the power generated by its interior.
How to explain the informationa) The power generated by the star's interior can be calculated using the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(7x10^8)³ ≈ 1.41x10^27 cm³
Multiplying this volume by the power generated per cubic centimeter, we get:
P(interior) = 3x10^-7 watts/cm^3 x 1.41x10^27 cm^3 = 4.23x10^20 watts
The power emitted by the star's surface can be calculated using the formula for the surface area of a sphere:
A = 4πr²
Substituting r = 7x10^8 cm, we get:
A = 4π(7x10^8)^2 ≈ 6.16x10^18 cm^2
Multiplying this area by the power emitted per square centimeter, we get:
P(surface) = 6,000 watts/cm² x 6.16x10^18 cm^2 = 3.70x10^22 watts
We can see that the power emitted by the star's surface is much greater than the power generated by its interior.
b) Following the same process as in part (a), we get:
V = (4/3)π(5x10^12)³ = 5.24x10^38 cm³
P(interior) = 3x10^-7 watts/cm^3 x 5.24x10^38 cm^3 = 1.57x10^32 watts
A = 4π(5x10^12)^2 ≈ 3.14x10^26 cm²
P(surface) = 6,000 watts/cm^2 x 3.14x10^26 cm^2 = 1.88x10^30 watts
Again, we see that the power emitted by the star's surface is much greater than the power generated by its interior. However, the difference between the two quantities is much smaller in this case compared to the previous case.
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Calculate the cross product (+)×(5+4)
assuming that
×=⟨1,1,0⟩,×=⟨0,3,1⟩,×=⟨2,−1,1⟩
The cross product of (+) and (5+4) is approximately ⟨-0.362, 0.536, 0.489⟩.
To calculate the cross product (+)×(5+4)We need to use the vector cross product formula:
a × b = |a| |b| sin(θ) n
Where
a and b are the two vectors being multiplied, |a| and |b| are their magnitudesθ is the angle between themn is a unit vector perpendicular to both a and b (in the direction determined by the right-hand rule)Using the given values of ×, we have:
(+) × (5+4) = ⟨1, 1, 0⟩ × ⟨5, 4, 0⟩
= |⟨1, 1, 0⟩| |⟨5, 4, 0⟩| sin(θ) n
Where θ is the angle between ⟨1, 1, 0⟩ and ⟨5, 4, 0⟩. To find θ, we can use the dot product formula:
a · b = |a| |b| cos(θ)
⟨1, 1, 0⟩ · ⟨5, 4, 0⟩ = |⟨1, 1, 0⟩| |⟨5, 4, 0⟩| cos(θ)
1(5) + 1(4) + 0(0) = √2 √41 cos(θ)
9 = 2√41 cos(θ)
cos(θ) = 9/(2√41)
θ ≈ 20.11 degrees
Now we can plug in the values to find the cross product:
(+) × (5+4) = |⟨1, 1, 0⟩| |⟨5, 4, 0⟩| sin(20.11) n
= √2 √41 sin(20.11) n
= (2/√41) ⟨-2sin(20.11), 3sin(20.11), 2√2cos(20.11)⟩
= ⟨-0.362, 0.536, 0.489⟩
Therefore, the cross product of (+) and (5+4) is approximately ⟨-0.362, 0.536, 0.489⟩.
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Miguel needs to memorize words on a vocabulary list for Russian class. He has memorized 36 of the words, which is three-fourths of the list. How many words are on the list?
After answering the presented questiοn, we can cοnclude that equatiοn Therefοre, there are 144 wοrds οn the vοcabulary list.
What is equatiοn?A mathematical equatiοn is a fοrmula that cοnnects twο statements and denοtes equivalence with the equals symbοl (=). An equatiοn is a mathematical statement that shοws the equality οf twο mathematical expressiοns in algebra. In the equatiοn 3x + 5 = 14, fοr example, the equal sign separates the variables 3x + 5 and 14.
A mathematical fοrmula describes the cοnnectiοn between the twο sentences that οccur οn οppοsite sides οf a letter. The symbοl and the single variable are frequently the same. As in 2x - 4 Equals 2, fοr instance.
1/4 x = tοtal number οf wοrds Miguel has nοt memοrized
1/4 x = x - 36
x/4 = 36
x = 144
Therefοre, there are 144 wοrds οn the vοcabulary list.
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At West Point School District, enrollment increased from 320 students in 2019 to 225 students in 2020. What is the percent of change in enrollment? Round to the nearest percent.
Answer:95
Step-by-step explanation: cause 320 - 225 = 95
Suppose a researcher is trying to understand whether people who purchase fast-food hamburgers would be willing to pay more if the hamburger comes with a free whistle. Prior research suggests the mean amount customers say they are willing to pay for a hamburger is μ = 3.68 and σ = 0.70. The researcher plans to conduct a study very similar to the prior research by selecting a sample of customers and asking them how much they are willing to pay for the hamburger. Before asking, however, she will tell the customer about the free whistle that will come with the hamburger. The researcher’s null hypothesis is that the mean amount the customers are willing to pay when they are told about the free whistle is no different than the amount customers are willing to pay when they are not told they will receive a free whistle. The researcher’s sample of 49 customers has a sample mean of M = 4.04. The test statistic for this sample mean is 3.60. Using a significance level of α = .05, which of the following is the most appropriate statement of the result?
a. Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.68, p < .05.
b. Telling customers they will receive a free cookie with their hamburger did not have a significant effect on the amount they say they are willing to pay for a hamburger, z = 4.04, p > .05.
c. Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05.
d. Telling customers they will receive a free cookie with their hamburger did not have a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05
Compute the estimated Cohen’s d to measure the size of the treatment effect.
Note: Cohen’s d is always reported as a positive value and reflects the proportion of the standard deviation that is affected by the treatment.
Estimated Cohen’s d =
Using Cohen’s criteria, the estimated Cohen’s d indicates that telling customers they will receive a free whistle is associated with a in the amount they are willing to pay for the hamburger.
The correct answer is option c: Telling customers they will receive a free whistle with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05.
What is standard deviation?A statistical measure known as the standard deviation depicts how variable or dispersed a set of data is. It is determined by taking the square root of the variance, which is the sum of the squared deviations from the data set mean. While a large standard deviation suggests that the data points are more dispersed, a small standard deviation suggests that the data points tend to be close to the mean. It can be used to assess the variability between different data sets and is frequently used as a gauge of a data set's consistency or reliability.
Given, level of significance = 0.05.
n = 49 and sample > 30
Thus, using z-score we have:
z = 4.04 - 3.68 / (0.70/7) = 3.60
Now, p-value = 0.000318
Now, for P < 0.05 we have:
cohens D = 4.04 - 3.67 / 0.70 = 0.51
This shows a medium increase.
Hence, the correct answer is option c: Telling customers they will receive a free whistle with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, p < .05.
The estimated Cohen’s d is given as:
Cohen’s d = (M - μ) / σ
The sample standard deviation is not given, so we cannot calculate the exact value of Cohen's d.
The sample standard deviation will determine the estimated Cohen's d in this situation, although if it is greater than 0.2, it might be regarded as having a small effect size.
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A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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A line has a slope of -2 and passes through the point (-2, -3). Write its equation in slope-
intercept form.
The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.
Given: Slope (m) = -2 and point (-2, -3)
Step 1: Use the point-slope form of a line's equation to find the equation of the line in point-slope form:y - y1 = m(x - x1) (where x1,y1 are the coordinates of the given point)y - (-3) = -2(x - (-2))y + 3 = -2(x + 2)Step 2: Simplify the equation by distributing the -2:y + 3 = -2x - 4Step 3: Solve for y by subtracting 3 from both sides of the equation:y = -2x - 7Therefore, the equation of the line in slope-intercept form is y = -2x - 7.ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22[/tex]
find the values of X and Y
The values of x and y for the right triangle are 4 and 7.21
How to evaluate for the values of x and y for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
by Pythagoras, the hypotenuse for the bigger of the two triangles is calculated as;
√(6² + 9²) = 10.82
the angle opposite the side length 6 for triangle with hypotenuse 10.82 and the angle opposite the side length x for triangle with hypotenuse y are the same by proportion, so:
x/6 = 6/9 {opposite/adjacent}
x = 36/9 {cross multiplication}
x = 4
also;
4/y = 6/10.52 {opposite/hypotenuse}
y = 42.08/6
y = 7.21
Therefore, the values of x and y for the right triangle are 4 and 7.21
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Find the value of x:
With regards to the above geometry problems the value of x are given below.
a) Here x = 15
b) here x = 28
These are solved using proportions.
How does proportion help to solve the above problems?Proportion helps to solve the above problems by setting two ratios equal to each other and cross-multiplying to solve for the unknown variable, which satisfies the ratio relationship between the two quantities.
a)
To solve for x, we can cross-multiply the fractions and simplify:
x/20 = 9/12
Cross-multiply:
12x = 9 * 20
Simplify:
12x = 180
x = 15
Therefore, the solution to the equation x/20 = 9/12 is x = 15.
b)
To solve for x, we can cross-multiply the fractions and simplify:
15/(x-3) = 18/(x+2)
Cross-multiply:
15(x+2) = 18(x-3)
Simplify:
15x + 30 = 18x - 54
Subtract 15x from both sides:
30 = 3x - 54
Add 54 to both sides:
84 = 3x
Divide both sides by 3:
x = 28
Therefore, the solution to the equation 15/(x-3) = 18/(x+2) is
x = 28.
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To make color RW689, Raul must mix 3 parts red pint with 11 parts white paint. What is the ratio of white paint color RW689?
The ratio of white paint to color RW689, given that Raul must mix 3 parts red paint with 11 parts white paint to form RW689, is 11:14 or 11/14.
What is the ratio?The ratio shows the relative size of one value or quantity when compared to another quantity.
Ratios are fractional or proportional values, which can be depicted as decimals, fractions, or percentages.
The mixture of red paint to white paint:
Red parts = 3
White parts = 11
Ratio of red to white = 3:11
The sum of ratios = 14 (3 + 11)
Therefore, color RW689 = 14 parts of red and white.
Thus, the ratio of white paint to color RW689 = 11:14 or 11/14
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please answer all of the following
1. Calculate the term (time of a simple interest loan that has earned $37.80 in interest on a principal of $450.00 and an interest rate of 1.4%/year.
Hint: i= Prt
P = S
r=
i= S
Find____
2. Calculate the interest rate of a simple interest loan where a principal amount of $425.00
has earned $286.88 in interest over 3 years.
Hint: I= Prt
P= $
t =
i = $
Find ____
3. Calculate the principal of a simple interest investment that earned $25.81 in interest for 8 months at an interest rate of 3.2%.
Hint: Remember 1 year = 12 months.
Time must be converted to years to be used in the formula.
8 months = 8/12 years
Hint: i = Prt
r=
t=
i=$
Find______
Consequently, the loan's duration is roughly 0.6 years the loan's interest rate is roughly 22.5%And the investment's principal is roughly $6,387.
Define investement and interest?An asset or thing is considered an investment if it is bought with the expectation that it may one day produce income or increase in value. A purchase of commodities that are not used right now but will be utilised to generate wealth down the road is referred to as an investment in the economic sense. Stocks, bonds, properties, and mutual funds are a few types of investments.
On the other hand, interest is the fee associated with the right to borrow money. Usually, it is stated as an annual percentage rate. (APR). The percentage of ownership a stockholder has in a firm is another definition of interest.
1. Using the formula below, we can determine the term (period) of a simple interest loan with a $450 principal, a 1.4% annual interest rate, and interest earnings of $37.80.
I = Prt
where I stands for interest earned, P stands for the principal, r represents the yearly interest rate in decimal form, and t stands for the amount of time in years.
Inputting the values provided yields:
37.80 = 450 * 0.014 * t
Simplifying this equation, we get:
t = 37.80 / (450 * 0.014)
(t 0.6 years)
2. Using the formula below, we can determine the interest rate for a simple interest loan with a $425.00 principal amount and $286.88 in interest accrued over three years:
I = Prt
where I stands for interest earned, P stands for the principal, r represents the yearly interest rate in decimal form, and t stands for the amount of time in years.
Inputting the values provided yields:
286.88 = 425 * r * 3
When we simplify this equation, we obtain:
r = 286.88 / (425 * 3)
r ≈ 0.225 or 22.5%
3. Using the technique below, we can determine the principal of an investment with simple interest that generated $25.81 in interest over the course of 8 months at an interest rate of 3.2%:
I = Prt
where I stands for interest earned, P stands for the principal, r represents the yearly interest rate in decimal form, and t stands for the amount of time in years.
First, we must convert the seconds to years:
8 months equals 8/12 years.
Inputting the values provided yields:
25.81 = P * 0.032 * (8/12)
When we simplify this equation, we obtain:
P = 25.81 / (0.032 * (8/12))
P ≈ $6,387
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The question is In the image
the probability of the marble landing on either a 00 or black slot is 19/38 or approximately 0.5.
how to solve probability?
There are 38 possible outcomes for a single spin of the American roulette wheel. Out of these 38 slots, two are labeled 0 and 00, and half of the remaining 36 slots are red and half are black.
Therefore, the probability of the marble landing on a black slot is 18/38 or 9/19. This is because there are 18 black slots out of a total of 38 slots.
Similarly, the probability of the marble landing on a 00 slot is 1/38.
To find the probability of the marble landing on either a 00 or black slot, we can add the probabilities of these two events. That is,
P(00 or black) = P(00) + P(black)
= 1/38 + 9/19
= (1 + 18)/38
= 19/38
Therefore, the probability of the marble landing on either a 00 or black slot is 19/38 or approximately 0.5.
It is important to note that while the probability of winning on a single bet in roulette may seem attractive, the game has a high house edge, meaning that the odds are in favor of the casino. Therefore, it is important to gamble responsibly and within one's means.
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A watch manufacturer believes that 60% of men over age 50 wear watches. So, the manufacturer took a simple random sample of 275 men over age 50 and 170 of those men wore watches. Test the watch manufacturer's claim at α = .05. (a) State the null and alternative hypothesis in symbolic form. (b) Find the test statistic (preferably obtained using technology). Sketch a graph of the normal distribution clearly showing the test statistic (rounded to two decimal places) and the critical region, α=.05. (c) Decide and explain your choice to reject the null or fail to reject the null. (d) Write a summary statement addressing the original claim
Answer:
A watch manufacturer believes that 60% of men over the age of 50 wear watches. So, the manufacturer took a simple random sample of 275 men over the age of 50, and 170 of those men wore watches. Test the watch manufacturer's claim at α = 0.5 using PHANTOMS.
Solve the equation
x^2 + 11x - 26 = 0
The two solutions of the quadratic equation x² + 11x - 26 = 0 are x = 2 and x = -13
How to solve the quadratic equation?Here we have the quadratic equation:
x² + 11x - 26 = 0
A quadratic equation is a second-degree polynomial equation in one variable, where the highest power of the variable is two.
To solve it we need to use the quadratic formula, it will give:
[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*-26} }{2*1}[/tex]
Now we can simplify that and we will get two solutions, these are:
[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*-26} }{2*1}\\\\x = \frac{-11 \pm15}{2}[/tex]
Then the two solutions of the quadratic equation are:
x+ = (-11 + 15)/2 = 4/2 = 2
x- = (-11 - 15)/2 = -26/2 = -13
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sinusodial math equations
f. The height of the endpoint of the minute hand above the bookshelf at 6:00 am is 23 cm. g. when θ = 160 is -4.33 cm. h. g(θ) is 10. i. k = 150.
Describe Function?A function is a mathematical concept that describes the relationship between two sets of numbers or values, called the domain and the range. It assigns to each value in the domain a unique value in the range. The domain is the set of all possible input values, while the range is the set of all possible output values.
A function can be represented by an equation, a graph, or a table of values. The equation of a function typically has a variable, often denoted as x, that represents the input or independent variable, and a formula that expresses how the input is transformed to obtain the output or dependent variable, often denoted as y.
f. At 6:00 am, the minute hand is pointing directly up, so the angle rotated by the minute hand from 6:00 am is θ = 0. Plugging this into the function h(θ) = 10 cosθ + 13, we get:
h(0) = 10 cos(0) + 13 = 23
So, the height of the endpoint of the minute hand above the bookshelf at 6:00 am is 23 cm.
g. To find the height of the endpoint of the hour hand above the bookshelf when θ = 160, we need to convert θ to the angle rotated by the hour hand from 6:00 am. Since the hour hand rotates 30 degrees for every hour, or 0.5 degrees per minute, the angle rotated by the hour hand from 6:00 am is 30(5) + 0.5(0) = 150 degrees.
So, we need to find g(150), which is:
g(150) = -10 cos(150/12) + 13 = -4.33
Therefore, the height of the endpoint of the hour hand above the bookshelf when θ = 160 is -4.33 cm.
h. The amplitude of g(θ) is the absolute value of the coefficient of the cosine function, which is 10. So, the amplitude of g(θ) is 10.
i. The endpoints of the minute hand and hour hand meet when they are pointing in the same direction, so the angle rotated by the minute hand from 6:00 am must be a multiple of 30 degrees. To find the smallest possible value of k, we need to find the smallest multiple of 30 that is greater than or equal to 150 (the angle rotated by the hour hand from 6:00 am). This is 30(5) = 150.
So, the smallest possible value of k is when the minute hand has rotated 150 degrees from 6:00 am, which is at 5:00 am and 30 seconds. Therefore, k = 150.
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Help me with this question
Answer:27.5 i hope you really like this answer i hope its right too
Answer:
46
Step-by-step explanation:
You want to know the number of regular pentagonal prism marshmallows that can be covered with 1.5 L of chocolate if each cm² takes 0.5 mL. The base area is 7 cm², and each rectangular face is 2 cm by 5 cm.
AreaThe area of each marshmallow is the sum of the areas of the 2 bases and 5 faces. Each face is a 2 cm by 5 cm rectangle, so has an area of ...
A = LW
A = (5 cm)(2 cm) = 10 cm²
The bases each have an area of 7 cm², so the total area is ...
total area = base area + face area
total area = 2 × 7 cm² + 5 × 10 cm² = 64 cm²
ChocolateEach cm² takes 0.5 mL of chocolate to cover it, so the chocolate required for one marshmallow is ...
(0.5 mL/cm²)(64 cm²) = 32 mL
1.5 L of chocolate is 1500 mL, so the number that can be covered is ...
(1500 mL)/(32 mL/marshmallow) = 46 7/8
Kaitlyn can completely cover 46 marshmallows with the chocolate she has.
please fill in the blanks
The probability that the next flip results in a head is 0.77.
How to calculate the probabilityIn statistics, probability refers to the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur. For instance, if the probability of an event A is 0.7, then there is a 70% chance that A will occur, and a 30% chance that it will not occur.
In the toss of coin 100 times, one gets 77 heads and 23 tails. The probability that the next flip results in a head will be:
= 77/100
= 0.77
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NEED HELP!! 9.1 Puzzle Time
What Do You Get When You Cross a Computer With a Lifeguard?
6. Using Pythagoras Theorem the value of x = 99. 7, The value of x is 102.56. 8. The triangle is a right triangle. 9. The triangle is acute. 10. The triangle is acute. 11. The value of x is 32.28. 12. The value of x is 40.
What is Pythagoras Theorem?The relationship between the sides of a right triangle is explained by the Pythagorean theorem, a fundamental mathematical theorem. The square of the hypotenuse's length, the longest side in a right triangle, is said to be equal to the sum of the squares of the lengths of the other two sides.
6. For a = 20, b = 99 using the Pythagoras Theorem we have:
x² = a² + b²
x² = 20² + 99²
x² = 9801
x = 99
7. For a = 60, b = 91 we have:
x² = 60² + 91²
x² = 10521
x ≈ 102.56
8. To determine whether the triangle is acute, obtuse, or right we check for using the Pythagoras Theorem.
a = 20, b = 21, and c = 29
Here,
20² + 21² = 841
29² = 841
Hence, the triangle is right.
9. For a = 15, b = 19, and c = 24. We have:
15² + 19² = 556
24² = 576
The triangle is acute.
10. For a = 11, b = 23, and c = 26. We have:
11² + 23² = 650
26² = 676
The triangle is acute.
11. Using the Pythagoras Theorem we have:
x² = 53² - 45²
x² = 1044
x ≈ 32.28
The value of x is 32.28
12. x² = 41² - 9²
x² = 1600
x = 40
The value of x is 40.
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Answer:
Step-by-step explanation:
11
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The model below is shaded to represent an expression.
Which expression represents the model?
1 2
3 x 5
A
B
D
1 5
3x2
2
3x5
5
3x 2
The expression which represents the model is (3 × 2/5). The Option C is correct.
What does a model means?A modeling refers to the process of creating a representation of a real-world scenario to make a prediction or provide insight.
In the given question, it can be observed that the model contains 10 parts in total with a division of 5 each into 2 parts.
Since the division of 2 is made thrice, it gives us:
3 × 2/5
Hence, this makes the third option (3 × 2/5) the correct one.
Note: The full question is attached as picture as below.
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Read the following text from a student essay. How can the writer best improve his or
her organization?
Ponies are a type of horse, but there are significant differences between ponies and
horses. Ponies are generally shorter than horses. Ponies also tend to live longer than
horses. Horses are considered to be over fifty-eight inches tall, and ponies are less
than that. Horses usually live to be twenty-five to thirty years old. Most ponies live
to be thirty-five or even forty.
by adding missing commas
moving the first sentence to the end of the paragraph
by moving the first sentence to the second paragraph
by reordering sentences to keep the related ideas together
The writer can best improve their organization by reordering sentences to keep related ideas together.
Who is called writer?
Writers are individuals who use written words to communicate ideas, stories, or information to a particular audience. They may work in various fields such as journalism, creative writing, copywriting, technical writing, or academic writing. Writers can be novelists, poets, essayists, screenwriters, playwrights, and more, and their work can take many forms, such as books, articles, blogs, scripts, and speeches. Writing is a skill that can be developed and honed through practice, and good writers are able to engage and captivate their readers with their words.
Here,
The writer can best improve their organization by reordering sentences to keep related ideas together. Here's a possible reorganization of the text:
Ponies and horses have significant differences. Horses are considered to be over fifty-eight inches tall and usually live to be twenty-five to thirty years old. In contrast, ponies are generally shorter than horses, with a height of less than fifty-eight inches, and they tend to live longer, often up to thirty-five or even forty years.
This revision keeps the sentences that relate to each other together, creating a clear and logical progression of ideas. Additionally, it removes the redundant statement of defining ponies as a type of horse, which is already well-known information.
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Find the lateral area of the cone in terms of π.
15π cm2
18π cm2
21π cm2
12π cm2
Answer:
[tex]12\pi \: {cm}^{2} [/tex]
Step-by-step explanation:
Given:
A cone
r (radius) = 3 cm
h (height) = 4 cm
Find: A (lateral) - ?
[tex]a(lateral) = \pi \times r \times l[/tex]
[tex]a(lateral) = \pi \times 3 \times 4 = 12\pi \: {cm}^{2} [/tex]
Please help !!!!!!!!!
The expression can be said to be equivalent because they could be simplified to give the same result.
What are equivalent expressions?Equivalent expressions are two or more mathematical expressions that have the same value for all values of the variables involved. In other words, if you substitute the same values for the variables in two different expressions that are equivalent, you will get the same result.
Thus we can see that; 1/2x^3(8x + 10x^6) is equivalent to x^4(5x^4 + 4) as shown
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