Answer:
84
Step-by-step explanation:
6.3+16.1=22.4
22.4/2=11.2
11.2x7.5=84
Answer:
78.12 cm^2
Step-by-step explanation:
i will call the 6.3 cm line A, 7.5 line B and 16.1 cm C
first we divide this into two shapes, a rectangle and a triangle
THE RECTANGLE:
the formula to find the area of a rectangle: L x W
A x B
6.3 x 7.5 = 47.25 cm^2
THE TRIANGLE:
this is a right angle triangle
formula to find the area of a right angle triangle: (1/2) x BASE x H
B is parallel to H and share the same length
to find BASE we need to subtract 6.3cm from 16.1cm (check attachment)
16.1 - 6.3 = 9.8
(1/2) x 9.8 x 6.3 = 30.87 cm^2
FINAL VALUE:
now we simply add our two values of area together
30.87 + 47.25 = 78.12 cm^2
he table shows the relationship between the values of x and y. Which of the following equations describes the relationship for the values in the table
The correct equation that describes the relationship in the table is option B, which is y = x2 + 3.
What is an equation?An equation is a mathematical statement that expresses the relationship between two or more variables. Equations are used to solve problems and represent real-world relationships.
To understand why this is the correct equation, it is important to look at the values of x and y in the table. When x increases by one, the value of y increases by the same amount. This indicates that the relationship between x and y is one of direct proportionality, wherein the value of y is directly proportional to the value of x. This can be expressed mathematically as y = kx, where k is a constant.
We can also look at the values of x and y in the table to determine the value of k. When x increases from 2 to 3, the value of y increases from 7 to 17. This means that k = 10. This can be written as y = 10x.
The value of y when x = 0 is 3, which is the constant term. This can be written as y = 10x + 3.
Therefore, the equation that describes the relationship in the table is y = x2 + 3.
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Please help and provide steps if you can
how many rational number are there between 0 and 5 explain your answer in words
Answer:
infinity
Step-by-step explanation:
There are "infinity" rational numbers between 0 and 5.
What are rational numbers :
A rational number is one that has the form p/q, where p & q are both integers and q is not zero.
How to find rational numbers :
The denominators must be equal to get the rational numbers between two rational numbers with differing denominators.
Finding the LCM of the denominators or multiplying the denominators of one to both the numerator and denominator of the other are two options for equating the denominators.
Solve for w. -(7)/((w+1)(w-7))=4+(3)/(w-7) If there is more than one solution, separate the
The two possible solutions for w are 6 and -3/4.
To solve for w, we need to use algebraic manipulation to isolate w on one side of the equation. Here are the steps:
1. Multiply both sides of the equation by (w+1)(w-7) to clear the fractions: -(7) = 4(w+1)(w-7) + 3(w+1)
2. Distribute the 4 and 3 on the right side of the equation: -(7) = 4w^2 - 24w - 28 + 3w + 3
3. Combine like terms on the right side of the equation: -(7) = 4w^2 - 21w - 25
4. Move all terms to one side of the equation: 4w^2 - 21w - 18 = 0
5. Use the quadratic formula to solve for w: w = (-(-21) ± √((-21)^2 - 4(4)(-18)))/(2(4))
6. Simplify the equation: w = (21 ± √(441 + 288))/(8)
7. Simplify the equation further: w = (21 ± √729)/(8)
8. Solve for the two possible values of w: w = (21 + 27)/(8) or w = (21 - 27)/(8)
9. Simplify the two possible values of w: w = 48/8 or w = -6/8
10. Simplify the two possible values of w further: w = 6 or w = -3/4
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A rectangle is 7 units by 4 units. Find its area.
Answer:
28 units
Step-by-step explanation:
To find the area of a rectangle, multiply the base by its height.
Area = b · h
Area = 7 · 4
Area = 28 units
(b^((3)/(2))*a^(4))^(-(1)/(4)) Vrite your answer without us ssume that all variables are
The answer is b^((-3)/(8))*a^(-1)
The expression (b^((3)/(2))*a^(4))^(-(1)/(4)) can be simplified by using the properties of exponents. First, we can distribute the exponent -(1/4) to each of the terms inside the parenthesis:
b^((3)/(2))^(-(1)/(4))*a^(4)^(-(1)/(4))
Next, we can simplify the exponents by multiplying them:
b^((-3)/(8))*a^((-4)/(4))
Finally, we can simplify the exponents further:
b^((-3)/(8))*a^(-1)
So, the final answer is b^((-3)/(8))*a^(-1). This is the simplified form of the expression without any assumptions about the values of the variables.
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The pyramid and prism above have the
the prism?
OA. 84 cm
OB &3 cm³
OC. 42 cm³
OD. 7cm³
width, length, and height. The volume of the pyramid is 21 cm. What is the volume of
According to the information we can infer that the volume of the prism would be 63cm³
How to find the volume of the prism?To find the volume of the prism we must perform the following mathematical operation:
First of all we must find the cube root of each of the options.
[tex]\sqrt[3]{84} = 4,3795191398878892657\\\sqrt[3]{63} = 3,9790572078963918596\\\sqrt[3]{42} = 3,4760266448864497867\\\sqrt[3]{7} = 1,9129311827723891012[/tex]
Once we find these values we must check them with the formula for the volume of a pyramid. In this case, it would be the area of the base times the height. Then we must take into account that the cube root of these numbers would be the equivalent to the side length of the figures.
In the case of 63, the procedure would be as follows:
3.9790572078963918596 * 3.9790572078963918596 = 15.832896315.8328963 / 3 = 5.27763215.2776321 * 3.9790572078963918596 = 21Then we can establish that this value corresponds to the length of the sides and the height of the pyramid because as a result it gives us the volume of the pyramid. So to find the volume of the prism we must do the following operation:
3.9790572078963918596 * 3.9790572078963918596 * 3.9790572078963918596 = 63Learn more about area in: https://brainly.com/question/27683633
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Mr. Packer is selling cheese cubes that weigh 1/4 pound. To make the cubes, he cuts up a 3 pound block of cheese
Answer:
12 blocks will made from the 3 pound block
Step-by-step explanation:
Two values of x that would make this inequality true.
Answer:-12&-8
Step-by-step explanation:
since 3x is negative the -12 and -8 become positive to combine with 5 to either become 41 or 37
how do you simplify
Step-by-step explanation:
So, let's say that we have 5/20. 5 and 20 can divide by a similar number (5) so you divide each variable by 5. in the end, you get 1/4.
What is an expression that shows the associative property has been applied to (6+8)+4
An expression that shows the associative property has been applied to (6+8)+4 is 6+(8+4).
The associative property is a mathematical rule that states that the way numbers are grouped within an expression does not affect the final result. In other words, you can add or multiply numbers in any order, and the result will be the same.
This property is represented as (a+b)+c=a+(b+c) or (a*b)*c=a*(b*c).
In the given expression, (6+8)+4, the associative property can be applied by changing the grouping of the numbers. This can be done by moving the parentheses from the first two numbers to the last two numbers. The new expression would be 6+(8+4).
Therefore, an expression that shows the associative property has been applied to (6+8)+4 is 6+(8+4).
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Quadrilateral DEFG is a square. What is the value of t?
E
D
t =
3t+46
8t-19
G
F
as the quadrilateral is a square, all the sides will be equal to each other so DE is equal to DG.
3t + 46 = 8t - 19
-5t = -65
5t = 65
so t = 13
does the table represent a proportional relationship between x and y?
x y
4 3
8 7
12 11
16 15
20 19
Answer:
Yes
Step-by-step explanation:
They both are added by 4
MTH 438 AO Online Spring 2022 Bordet Quiz: Review Test II (Quiz 2) Question 11 of 40 > This quiz: 40 point(s) possible This question: 1 point(s) possible A hospital experiment involves two different waiting line configurations for patients arriving for admission. The waiting times (in seconds) are recorded with a single line configuration that feeds four stations and another configuration with individual lines at the four stations. Fi two samples, then compare the two sets of results. Specifically, determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it?
Conduct a hypothesis test or calculate and compare the measures of center and spread for each sample.to determine if there is a statistically significant difference between the two waiting line configurations.
1. We can use a two-sample t-test to compare the means of the two samples and determine if the difference is statistically significant. The null hypothesis would be that there is no difference between the means of the two samples, and the alternative hypothesis would be that there is a significant difference between the means.
If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference between the waiting times for the two configurations.
2. The two samples of waiting times from the hospital experiment can be compared by using the measures of center, such as the mean and median, and the measures of spread, such as the standard deviation and range.
Calculate the mean and median of each sample. The mean is the sum of the data values divided by the number of data values, and the median is the middle value when the data values are arranged in ascending order.
In conclusion, to compare the two samples from the hospital experiment, conduct a hypothesis test or calculate and compare the measures of center and spread for each sample.
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(-10,-15) is the image of N after the dilation with a scale factor of 5/4 centered at the orgin. What are the coordinates of N
The coordinates of N can be estimated as: (-8, -12)
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.
If point N is dilated with a scale factor of 5/4 centered at the origin, the coordinates of the image point, let's call it N', can be found by multiplying the coordinates of N by the scale factor:
N' = (5/4)N
We also know that the image point N' is located at (-10, -15), so we can substitute these values into the equation:
(-10, -15) = (5/4)N
Solving for N, we can multiply both sides by the reciprocal of 5/4, which is 4/5:
N = (4/5)(-10, -15)
N = (-8, -12)
Therefore, the coordinates of point N are (-8, -12).
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The rectangle below has an area of y^2+8xy+7x^2 square meters and a length of y+xy+xy, plus, x meters.
The rectangle has a length of y + 2xy + x meters and a width of (y + 7x) / (2y + x) meters.
What is a formula of area of rectangle?
Formula for rectangle's area
When calculating a rectangle's area, we multiply the length by the width of the rectangle.
The area of a rectangle is given by the formula:
A = L × W
where A is the area, L is the length, and W is the width.
In this case, we are given that the area is:
[tex]A = y^2 + 8xy + 7x^2[/tex]
and the length is:
L = y + xy + xy + x = y + 2xy + x
To find the width, we can rearrange the formula for the area:
W = A/L
Substituting the given values, we get:
[tex]W = (y^2 + 8xy + 7x^2)/(y + 2xy + x)[/tex]
Now, we can simplify this expression by factoring the numerator:
W = [(y + 7x)(y + x)] / [(y + x)(2y + x)]
Canceling out the common factor of (y + x), we get:
W = (y + 7x) / (2y + x)
Therefore, the width of the rectangle is:
W = (y + 7x) / (2y + x)
So the rectangle has a length of y + 2xy + x meters and a width of (y + 7x) / (2y + x) meters.
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The lengths of the bases are 62 inches and 6 feet. The perpendicular distance between the bases of a trapezoid is 5 feet. What is the area of a trapezoid in square inches?
The area of the trapezoid is 335 square inches.
What is Trapezoid ?
A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The distance between the bases is called the height or altitude of the trapezoid.
First, we need to convert the lengths of the bases and the perpendicular distance to the same units. Let's convert 6 feet to inches:
6 feet = 6 x 12 inches = 72 inches
Now we can calculate the area of the trapezoid using the formula:
Area = (a + b) * h / 2
where a and b are the lengths of the bases and h is the perpendicular distance between them.
Substituting the given values, we get:
Area = (62 + 72) * 5 / 2
Area = 134 * 5 / 2
Area = 670 / 2
Area = 335 square inches
Therefore, the area of the trapezoid is 335 square inches.
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A widget manufacturer's expense function is
E = 6.00 q + 11,000
What are the variable costs to produce one widget?
The variable costs to produce one widget is 6.00
How to determine the variable costsFrom the question, we have the following parameters that can be used in our computation:
E = 6.00 q + 11,000
The variable cost is the slope of the relation
Using the above as a guide, we have the following:
Fixed cost = 11000
Variable cost = 6.00
The above parameters mean that
The variable cost is 6.00
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Rearrange the equation y - 3 = 2x into slope intercept form
To rearrange the equation y - 3 = 2x into slope-intercept form, we need to solve for y.
First, we can add 3 to both sides of the equation to isolate y:
y - 3 + 3 = 2x + 3
Simplifying the left side gives:
y = 2x + 3
Now, the equation is in slope-intercept form y = mx + b, where m is the slope (in this case, m = 2) and b is the y-intercept (in this case, b = 3).
According to a research institution, men spent an average of $134.71 on Valentine's Day gifts in 2009. Assume the standard deviation for this population is $30 and that it is normally distributed. A random sample of 10 men who celebrate Valentine's Day was selected. Complete parts a through e.
a. Calculate the standard error of the mean.
b. What is the probability that the sample mean will be less than $125?
c. What is the probability that the sample mean will be more than $145?
d. What is the probability that the sample mean will be between $120 and $160?
e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $134.71.
a. The standard error of the mean would be 9.49.
b. The probability that the sample mean will be less than $125 is 0.1539.
c. The probability that the sample mean will be more than $145 is 0.1401.
d. The probability that the sample mean will be between $120 and $160 is 0.9356.
e. The symmetrical interval that includes 95% of the sample means is ($116.11, $153.31).
a. The standard error of the mean is calculated using the formula:
SE = σ / √n
where σ is the standard deviation and n is the sample size.
In this case, σ = $30 and n = 10. So, the standard error of the mean is:
SE = 30 / √10
SE = 9.49
b. To find the probability that the sample mean will be less than $125, we need to calculate the z-score:
z = (x - μ) / SE
where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.
In this case, x = $125, μ = $134.71, and SE = 9.49. So, the z-score is:
z = (125 - 134.71) / 9.49
z = -1.02
Using a z-table, we find that the probability of getting a z-score less than -1.02 is 0.1539. So, the probability that the sample mean will be less than $125 is 0.1539.
c. To find the probability that the sample mean will be more than $145, we need to calculate the z-score:
z = (x - μ) / SE
where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.
In this case, x = $145, μ = $134.71, and SE = 9.49. So, the z-score is:
z = (145 - 134.71) / 9.49
z = 1.08
Using a z-table, we find that the probability of getting a z-score less than 1.08 is 0.8599. So, the probability that the sample mean will be more than $145 is 1 - 0.8599 = 0.1401.
d. To find the probability that the sample mean will be between $120 and $160, we need to calculate the z-scores for both values:
z1 = (x1 - μ) / SE
z2 = (x2 - μ) / SE
where x1 and x2 are the sample means, μ is the population mean, and SE is the standard error of the mean.
In this case, x1 = $120, x2 = $160, μ = $134.71, and SE = 9.49. So, the z-scores are:
z1 = (120 - 134.71) / 9.49
z1 = -1.55
z2 = (160 - 134.71) / 9.49
z2 = 2.67
Using a z-table, we find that the probability of getting a z-score less than -1.55 is 0.0606 and the probability of getting a z-score less than 2.67 is 0.9962. So, the probability that the sample mean will be between $120 and $160 is 0.9962 - 0.0606 = 0.9356.
e. To find the symmetrical interval that includes 95% of the sample means, we need to use the formula:
x = μ ± z*SE
where x is the sample mean, μ is the population mean, z is the z-score, and SE is the standard error of the mean.
In this case, μ = $134.71, z = 1.96 (for a 95% confidence interval), and SE = 9.49. So, the symmetrical interval is:
x = 134.71 ± 1.96*9.49
x = 134.71 ± 18.6
x = (116.11, 153.31)
So, the symmetrical interval that includes 95% of the sample means is ($116.11, $153.31).
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Let f(x) = 2x -1 and g(x) = x2 + x - 2. What is ( - g)(x) equal to? of Select one: a. -X2 + x +1 b. x2 + 3x - 3 c. 2x - 1 - x2 + x - 2 d. -x2 + 3x - 3 Find the domain off.x) = 3(x - 4).
1. The value of (-g)(x) is [tex]-x^2 + 3x - 3[/tex].
Thus, option (d) is correct.
2. The domain is all real numbers or in interval notation: (-∞, ∞).
Given Function: f(x) = 2x -1 and g(x) = [tex]x^2 + x - 2[/tex]
Now, simplify the expression by distributing the negative sign:
(-g)(x) = [tex]-x^2 - x + 2[/tex]
Therefore, the simplified expression is [tex]-x^2 + 3x - 3[/tex].
Thus, option (d) is correct.
2. Given function: f(x) = 3 (x-4)
The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a real output.
In this case, consider any restrictions on x that would make the expression 3(x - 4) undefined.
The function f(x) = 3(x - 4) is defined for all real numbers because there are no restrictions or divisions by zero involved.
Therefore, the domain is all real numbers.
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The question attached here is in incorrect form, the correct form is:
1. Let f(x) = 2x -1 and g(x) = [tex]x^2 + x - 2[/tex]. What is ( - g)(x) equal to?
Select one: a. [tex]-x^2 + x +1[/tex]
b. [tex]x^2 + 3x - 3[/tex]
c. [tex]2x - 1 - x^2 + x - 2[/tex]
d. [tex]-x^2 + 3x - 3[/tex]
2. Find the domain of f(x) = 3(x - 4).
Big ideas 7.5 question
Answer:
66.5
Step-by-step explanation:
average the 2 together (57+76)/2
2. Express the following decimal fractions as a sum of fractions. The denominator should be a power of 10. a)0,32 b)3,003 c)13, 134 d)5,2303
Answer:
a) 0.32 = 32/100 = 8/25
b) 3.003 = 3 + 3/1000 = 3000/1000 + 3/1000 = 3003/1000
c) 13.134 = 13 + 134/1000 = 13000/1000 + 134/1000 = 13134/1000
d) 5.2303 = 5 + 2303/10000
Mr Johns is buying a new phone. He wants to pay for the phone in 12 equal monthly payments. Work out how much Mr Johns will pay each month.
Gr8 Phones
Normal price £780
Sale price 5% off
Answer:
56.14
Step-by-step explanation:
673.36/12
Please tell me the equation.
The equation that links x and y is [tex]y=(\frac{1}{3} )x+3[/tex] if x is 3,6,9,12,15 & y is 4,5,6,7,8.
What sort of equation would that be?The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What about the equation's meaning?A mathematical equation is a statement that two numbers or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account together in order to comprehend or describe the whole situation, this is known as an equation.
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What is the product of (−2)(18)(−8)?
Pls do this
Answer:
288
Step-by-step explanation:
-2 x -8 =16
16 x 18 = 288
Answer:
288
is the answer
Step-by-step explanation:
please mark brainiest
helppppp
Suppose the annual interest rate is 7.5% and the interest is compounded annually. How much will an investment of $1,000 be worth after 3 years?
The amount after 3 years with an interest rate of 7.5% will be $1,242.3.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Assume the yearly interest rate is 7.5% and the interest is compounded once a year.
If the amount of investment is $1,000 and the amount after 3 years is given as,
A = P(1 + r)ⁿ
A = $1,000 × (1 + 0.075)³
A = $1,000 × (1.075)³
A = $1,000 × 1.24229
A = $1,242.3
The amount after 3 years with an interest rate of 7.5% will be $1,242.3.
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HELP PLEASE! You have 3/4 of a leftover pizza. If a slice is 1/8 of a pizza, how many slices are left?
A. 3
B. 6
C. 9
D. 12
Answer:
B. 6
Step-by-step explanation:
3/4 can be added to itsef to be 6/8
6/8
---- 6/1 = 6
1/8
Answer:
Step-by-step explanation:
tbh i don't know how to explain it but i feel like its D i multiply and add
nd all values of h for which the quadratic equation has one real solution. 6x^(2)+7x-h=0 Vrite your answer as an equality or inequality in terms of h.
The one real solution of the equation 6x^(2)+7x-h=0 can be expressed in terms of equality as h = -49/24 using discriminant formula.
To find all values of h for which the quadratic equation 6x^(2)+7x-h=0 has one real solution, we need to use the discriminant formula. The discriminant formula is given by:
D = b^(2) - 4ac
Where a, b, and c are the coefficients of the quadratic equation. In this case, a = 6, b = 7, and c = -h. Plugging these values into the formula, we get:
D = 7^(2) - 4(6)(-h)
D = 49 + 24h
For the quadratic equation to have one real solution, the discriminant must be equal to 0. Therefore, we can set D = 0 and solve for h:
49 + 24h = 0
24h = -49
h = -49/24
Therefore, the value of h for which the quadratic equation has one real solution is h = -49/24. We can write this as an equality:
h = -49/24
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Starting time: 9:55 A. M. Elapsed time: 27 minutes
In the following question, Starting time: 9:55 A. M. Elapsed time: 27 minutes provide a snapshot of a specific moment in time and the amount of time that has passed since a particular event or task began.
You have provided two pieces of information: the starting time and the elapsed time.
The starting time is 9:55 A.M., which means that an event or task began at that time. The time is given in the 12-hour clock format, where A.M. stands for "ante meridiem" and refers to the period between midnight and noon.
The elapsed time is 27 minutes, which means that 27 minutes have passed since the event or task started. "Elapsed time" refers to the amount of time that has passed since the start of an event or task.
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