Bob makes a scale drawing of a statue using the scale 1 cm: 5 ft.
His drawing measures 16 cm. Kia makes a scale drawing of the
same statue using the scale 1 cm: 8 ft. How many centimeters tall
is the statue in Kia's drawing?
1. 40 cm
2. 128 cm
3. 10 cm
4. 80 cm
The radius of Circle A is 4 in. The radius of Circle B is 5 in. greater than the radius of Circle A. The radius of Circle C is 5 in. greater than the radius of Circle B. The radius of Circle D is 1 in. less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?
The area of circle D is 10.56 times greater than the area of the circle A.
Given that, the radius of circles A, B, C and D,
Radius of A = 4 in
Radius of B = 9 in
Radius of C = 14 in
Radius of D = 13 in
Area of the circles = A = πr²
A = 3.14×4²
A = 50.24 in²
B = 3.14×9²
B = 254.34 in²
C = 3.14×14²
C = 615.44 in²
D = 3.14×13
D = 530.66 in²
The area of circle D is 530.66/50.24 = 10.56 times greater than the area of the circle A.
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A rectangle frame has a length of 3/4 of 1/2 what is the
perimeter of the frame
Answer:
2 1/2 ft
Step-by-step explanation:
Is this what you meant?
Length = 1/2 ft
Width = 3/4 ft
If so, then:
Perimeter = length + length + width + width
P = 1/2 ft + 1/2 ft + 3/4 ft + 3/4 ft
P = 2/4 ft + 2/4 ft + 3/4 ft + 3/4 ft
P = 10/4 ft
P = 5/2 ft
P = 2 1/2 ft
The length is 5.4 meters.
The width is 1.5 meters.
Howard will increase both the length and the width by 20% each.
Part A
What will be the perimeter, in meters, of the enlarged garden?
Enter your answer in the box.
Part B
By how many square meters will the area of the garden increase?
Answer:
Step-by-step explanation:
whats the meaning of life...
-9d-4p-6-10d+8
pls i need help !!
Answer:
-19d-4p+2
Step-by-step explanation:
This is very simple, we can rearrange this expression to make it easier to do the properties:
-9d-10d-4p-6+8
Next, we can subtract:
-19d-4p+2
This is the final expression, hope this helped :)
Brody is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?
There are 60 different possible outcomes if Brody spins all three spinners.
To determine the total number of different possible outcomes when spinning three spinners, we need to multiply the number of outcomes on each spinner. The first spinner has 4 equal-sized sections, the second spinner has 3 equal-sized sections, and the third spinner has 5 equal-sized sections.
Therefore, the total number of possible outcomes is:
4 x 3 x 5 = 60
So there are 60 different possible outcomes if Brody spins all three spinners.
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Tyson traveled at an average speed of 60 miles per hour for 1.5 hours
and then traveled at an average speed of 70 miles per hour for 2.5
hours. What was the total distance in miles that Tyson traveled during
this time?
A 260.5 mi
B. 420 mi
C.
265 mi
D 257.5 mi
C.
Step-by-step explanation:
To calculate the total distance Tyson traveled, we need to use the formula: distance = speed x time. First, we calculate the distance traveled during the first segment at 60 mph for 1.5 hours: distance = 60 x 1.5 = 90 miles. Then, we calculate the distance traveled during the second segment at 70 mph for 2.5 hours: distance = 70 x 2.5 = 175 miles. Adding these two distances together, we get: 90 + 175 = 265 miles. Therefore, the answer is C, 265 miles.
=
#7 i
Find the surface area of the sphere. Round your answer to the nearest
hundredth.
40 ft
The surface area is about
Previous
Support powered by
square feet.
In the given diagram, the surface area of the given sphere is approximately 5026.55 ft²
Calculating the surface area of a sphereFrom the question, we are to calculate the surface area of the sphere
The surface area of a sphere is given by the formula
Surface area = 4πr²
Where r is the radius of the sphere
From the given information,
Diameter of the sphere = 40 ft
Thus,
Radius of the sphere = 40 ft / 2
Radius of the sphere = 20 ft
Therefore,
Surface area of the sphere = 4 × π × 20²
Surface area of the sphere = 4 × π × 400
Surface area of the sphere = 1600π ft²
Surface area of the sphere = 5026.5482 ft²
Surface area of the sphere ≈ 5026.55 ft²
Hence, the surface area of the sphere is 5026.55 ft²
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What is the tenth term?
1) 1, 2, 8, 14, 20
2) 15, 23, 31,
Find the missing term:
3) 4, __, 22,
4) 25, __, 53,
The solution to each of the arithmetic sequence are:
1) a₁₀ = 56
2) a₁₀ = 87
3) missing term is 13
4) missing term is 14
What is the nth term of the arithmetic sequence?The formula for the nth term of an arithmetic sequence is:
aₙ = a + (n - 1)d
where:
a is first term
n is nth term
d is common difference
1) a = 2
d = 6
a₁₀ = 2 + (10 - 1)6
a₁₀ = 2 + 54
a₁₀ = 56
2) a = 15
d = 8
a₁₀ = 15 + (10 - 1)8
a₁₀ = 87
3) The missing term will be gotten by finding the common difference.
d = (22 - 4)/2
d = 18/2
d = 9
missing term = 4 + 9 = 13
4) The missing term will be gotten by finding the common difference.
d = (53 - 25)/2
d = 28/2
d = 14
missing term = 4 + 9 = 14
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The equation of circle D is (x + 2)2 + y² = 32.
Select all the points that lie on circle D.
□ (-6,-4)
□ (-2,16)
□ (-4,6)
□ (0,14)
□ (2,4)
The equation of circle D is (x + 2)2 + y² = 32 then the points (-6,-4) and (-4,6) lie on circle D
The equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r².
This is called the standard form of the equation of a circle.
In the given equation, (x + 2)² + y² = 32, we can see that the center of the circle is (-2, 0) and the radius is √32 = 4√2.
To determine which points lie on the circle, we substitute the x and y coordinates of each point into the equation and check if the equation is true.
If it is true, then the point lies on the circle.
Let us check if (-6, -4) lies on the circle, we substitute x = -6 and y = -4 into the equation:
(-6 + 2)² + (-4)² = 32
(-4)² + (-4)² = 32
16 + 16 = 32
32 = 32
Since the equation is true, (-6, -4) lies on the circle.
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Help my sister, please answer fast and whoever does first, GETS BRAINLIEST
Answer: The answer is D
Step-by-step explanation:
Brainliest Please! Good luck to your sis!
Answer: 9 inches is correct
Step-by-step explanation: 1 and half times 6 = 9 so your answer was correct.
Hope this helps!
Jamal has 44 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The are of the land is 192 square meters. List each set of possible dimensions (length and width) of the field.
The two sets of possible dimensions for the rectangular plot are 12 m by 20 m, and 10 m by 24 m
A three-sided fence and the fourth side is the river, the perimeter will be:
P = 2L + W = 44 - L
where L is the length of the rectangular plot and W is the width.
We can simplify this equation by solving for W:
W = 44 - 2L - W
W = 44 - 2L
Next, we can use the area of the land to set up another equation:
A = LW = 192
Substituting the expression for W from the first equation into the second equation gives:
L(44 - 2L) = 192
-2L² + 44L - 192 = 0
Dividing both sides by -2 gives:
L² - 22L + 96 = 0
We can now use the quadratic formula to solve for L:
L = 12 or 10
So the possible dimension lengths of the rectangular plot are 12 m or 10 m.
We can use the first equation to find the corresponding widths:
W = 44 - 2L
For L = 12:
W = 44 - 2(12) = 20
So one set of possible dimensions is 12 m by 20 m.
For L = 10:
W = 44 - 2(10) = 24
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What's the calculation for an F ratio?
The requried to calculate an F ratio, we need to perform an analysis of variance (ANOVA) test.
To calculate an F ratio, we need to perform an analysis of variance (ANOVA) test. The F ratio is the ratio of two variances, and it is calculated by dividing the mean square of the between-group variability by the mean square of the within-group variability.
The formula for the F ratio is:
F = MSB / MSW
Where MSB is the mean square of the between-group variability and MSW is the mean square of the within-group variability.
The F ratio is used to test the null hypothesis that the means of the groups are equal. If the F ratio is greater than the critical value for a given level of significance (based on the degrees of freedom), we reject the null hypothesis and conclude that at least one group's mean is different from the others.
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Work out the missing angle x. Give your answer to 1 d.p or better.
The value of x is 34.9cm( 1d.p)
What is diagonal property of rectangle?A diagonal is the line segment that join two opposite vertices.A diagonal of a rectangle divides it into two congruent right triangles. The diagonals of a rectangle are the same length.
angle C = angle D
therefore 52+C +D = 180
2C = 180-52
C = 64°
To find BD
sin64/OD = sin52/17
OD = sin64 × 17/sin52
= 15.3/0.788
= 19.4
BD = 2 × 19.4 = 38.8
x = √ 38.8²-17²
x = √1505.44 - 289
x = √1216.44
x = 34.9 cm( 1 d.p)
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In a research study conducted to determine if arrests were related to the socioeconomic class of the offender, the chi square critical score was 9.488 and the chi square test statistic was 12.2. We can conclude that
We can conclude that the socioeconomic class of the offender is related to the likelihood of arrests.
Based on the information provided, we can conclude that there is a significant relationship between arrests and the socioeconomic class of the offender.
Identify the chi-square critical score: 9.488
Identify the chi-square test statistic: 12.2
Compare the test statistic to the critical score:
If the test statistic (12.2) is greater than the critical score (9.488), then there is a significant relationship between the variables.
In this case, 12.2 > 9.488, so there is a significant relationship between arrests and the socioeconomic class of the offender.
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what is the answer to the file attached.
Answer:
88
Step-by-step explanation:
The formula for a parallelogram to find the area is:
B x h
So, the numbers we are given is the:
base: 11
height: 8
slant height: 9
We do not need the slant height for finding the area, so we can just substitute the base and height values into the equation:
8 x 11
=88
So, the area of this parallelogram is 88 square units
Hope this helps :)
A two column table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3. 5, 1, negative 1. 5. Which equations represent the data in the table? Check all that apply
The equation that represents the data in the table is y = -0.5x^2 + 3.5x + 4.
To determine which equations represent the data in the table, we can plot the points given in the table and see which equations pass through all of them.
Plotting the points, we get:
(-2, 6)
(0, 3.5)
(2, 1)
(4, -1.5)
From this, we can see that the data does not lie on a straight line, so we can eliminate any linear equations.
However, we can use the method of finite differences to determine if a quadratic equation fits the data. Taking the first finite differences of the y values, we get:
(-2, 6)
(0, 3.5)
(2, 1)
(4, -1.5)
(3.5 - 6) = -2.5
(1 - 3.5) = -2.5
(-1.5 - 1) = -2.5
Since the first finite differences are constant, we know that the data can be represented by a quadratic equation.
Using the quadratic equation y = ax^2 + bx + c, we can plug in the given points to solve for a, b, and c.
Solving for a, b, and c, we get:
a = -0.5
b = 3.5
c = 4
Therefore, the equation that represents the data in the table is:
y = -0.5x^2 + 3.5x + 4
So the correct answer is:
y = -0.5x^2 + 3.5x + 4.
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Audra is climbing a mountain at a constant rate her height at various times are given 11:13- 5211 1:33-5651 1:48-5981 which of the following represents the rate at which she is climbing?
A 40 feet per minute
B 30 feet per minute
C 25 feet per minute
D 22 feet per minute
With Audra climbing a mountain at a constant rate and her height at various times given as 11:13- 5211 1:33-5651 1:48-5981, she is climbing at the unit rate of D. 22 feet per minute.
What is the unit rate?The unit rate is the ratio that compares two values or quantities.
The unit rate is also described as the slope, which is calculated as the quotient between the Rise and the Run or the speed (the quotient between the total distance and the total time).
Time Height
11:13- 5211
1:33- 5651
1:48- 5981
Unit rate (Slope) = Rise/Run
5,981 - 5,651 = 330 feet
1:48 - 1:33 = 15 minutes
330 ÷ 15 = 22 feet per minute
Thus, we can conclude that Audra is climbing the mountain at a rate or speed of Option D. 22 feet per minute.
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Suppose that 60 percent of the voters in a particular region support a candidate. Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.
The probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion is 98.6%.
We are given that the population proportion, p, is 0.6, and we want to find the probability that a sample of 1000 voters would yield a sample proportion within 0.04 of p. Let's first find the standard error of the sample proportion:
SE = √(p*(1-p) / n)
where p is the population proportion, 1-p is the proportion of voters who do not support the candidate, and n is the sample size.
Substituting the given values, we get:
SE = √(0.6 * 0.4 / 1000) = 0.01549193338
To find the probability that the sample proportion is within 0.04 of p, we can use the normal distribution and the z-score formula:
z = (sample proportion - p) / SE
where the sample proportion follows a normal distribution with mean p and standard deviation SE.
Substituting the values, we get:
z = (0.64 - 0.6) / 0.01549193338 = 2.590020246
z = (0.56 - 0.6) / 0.01549193338 = -2.590020246
Using a standard normal distribution table or calculator, we can find the area under the curve between z = -2.590020246 and z = 2.590020246 to be approximately 0.986.
Therefore, the probability that a sample of 1000 voters would yield a sample proportion within 0.04 of the actual proportion is approximately 0.986 or 98.6%.
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\frac{\left(-6x^{2}y^{3}\right)^{4}}{8x^{9}y^{7}\cdot3xy^{5}}
Answer:
54/x²-----------------------
Simplify the expression in below steps:
[tex]\cfrac{\left(-6x^{2}y^{3}\right)^{4}}{8x^{9}y^{7}\cdot3xy^{5}}=[/tex] Power of power and product of exponents rules
[tex]\cfrac{\left6^4x^{2\cdot4}y^{3\cdot4}\right}{(8\cdot3)x^{9+1}y^{5+7}}=[/tex] Multiply or add up powers
[tex]\cfrac{\left2^43^4x^8y^{12}\right}{(2^3\cdot3)x^{10}y^{12}}=[/tex] Subtract powers or cancel same terms
[tex]\cfrac{\left2\cdot3^3\right}{x^2}}=[/tex] Simplify
[tex]54/x^2[/tex] Answer
Anissa said that distance, d, could be an either an independent or dependent variable. Explain Anissa's statement.
Anissa's statement suggests that the variable "distance," denoted as "d," can be considered both an independent variable and a dependent variable, depending on the context or the specific relationship being examined.
Independent Variable: In certain situations or experiments, the distance can be treated as an independent variable. This means that the distance is manipulated or controlled by the researcher or experimenter, and it is used to determine or study the effect it has on other variables. In this case, the distance would be considered the cause or predictor variable, and its value is intentionally set or changed to observe how it influences the dependent variable(s).
Example: In a study on the impact of distance on running performance, researchers may vary the distance of a race (e.g., 5 km, 10 km, or 15 km) and measure the effect it has on the runners' performance times. Here, distance would be the independent variable, as it is being deliberately altered to observe its influence on the dependent variable (performance time).
Dependent Variable: Conversely, in other scenarios, the distance can be considered a dependent variable. This means that the distance is the outcome or result of other factors or variables that are being studied or manipulated. In this case, the distance is observed or measured as the response to changes in other variables.
Example: Suppose researchers are investigating the relationship between the time spent studying and the distance walked to school for a group of students. The researchers measure the students' study time and observe the corresponding distance they walk to school. In this context, the distance would be the dependent variable, as it is influenced by the independent variable (study time) and is used to assess the relationship between the two.
In summary, Anissa's statement indicates that the variable "distance" can be considered either an independent variable or a dependent variable, depending on the specific context and the relationship being examined in a given study or experiment.
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1.10 Select all the quantities that can be represented by 0. A. The elevation at sea level B. The elevation at the top of a mountain C. The temperature, in degrees Fahrenheit, at which water boils D. The amount of money in an account in which a person owes money E. The amount of money in an account in which a person does not have money or does not owe money (worth 100 points)
The requried, quantities that can be represented by 0 have been mentioned below.
The quantities that can be represented by 0 are:
A. The elevation at sea level (since sea level is defined as 0 elevations)
D. The amount of money in an account in which a person owes money (since a negative balance is represented by 0)
Therefore, the correct options are A and D.
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Given the related graph 0=-(x+2) 2+3
Answer:
it’s D
Have a Nice Best Day : )
Create and interpret a 95% confidence interval for each example.
6. Xavier loves to exercise by riding his bike each day. The health data on his cell phone
contains the distances he has traveled for the last year. Xavier found the average of the
past 30 days to be 8.6 miles and a standard deviations 0.2 miles.
The 95% confidence interval for Xavier's average distance traveled is (8.527, 8.673) miles, which means that we are 95% confident that the true population mean of Xavier's daily distance traveled is between 8.527 and 8.673 miles.
To create a 95% confidence interval for Xavier's average distance traveled, we can use the following formula:
[tex]CI = \bar{X} \pm z\times (\sigma /\sqrt{n } )[/tex]
Where:
[tex]\bar{X}[/tex] is the sample mean (8.6 miles)
σ is the population standard deviation (0.2 miles)
n is the sample size (30)
z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of 1.96)
Plugging in the values, we get:
CI = 8.6 ± 1.96*(0.2/√30)
CI = 8.6 ± 0.073
Therefore, the 95% confidence interval for Xavier's average distance traveled is (8.527, 8.673) miles.
Interpretation: We are 95% confident that the true population mean of Xavier's daily distance traveled is between 8.527 and 8.673 miles.
This means that if we were to repeat this study many times, we would expect the true population mean to be within this range 95% of the time.
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At what age do many children have the ability to do simple arithmetic problems?
a. Early childhood
b. Middle childhood
c. Infancy
d. Toddler
Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).
During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.
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Show that the numbers are all rational by writing each number as a ratio of integers.
320.5492492492...
The number 320.5492492492... is rational and can be expressed as the fraction 1829/333.
To show that the number 320.5492492492... is rational, we can follow the same approach as before and express it as a sum of rational numbers.
Let x = 320.5492492492...
We can separate the integer part of x and the repeating decimal part:
x = 320 + 0.5492492492...
To express the repeating decimal part as a fraction, we can subtract a portion of it from the original number, like this:
1000x - 320000 = 549.2492492...
100000x - 32000000 = 549249.2492492...
Now we can subtract the first equation from the second equation:
99900x = 549249.2492492... - 549.2492492...
This simplifies to:
99900x = 548700
x = 548700/99900
Simplifying the fraction by dividing both numerator and denominator by their greatest common factor, we get:
x = 1829/333
Therefore, the number 320.5492492492... is rational and can be expressed as the fraction 1829/333.
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Marilyn created this box and whiskers plot to represent the number of inches of snow that fell during the winter in several different cities. (a) What was the least amount of snowfall in any of the cities? Show your work
(b) What is the median amount of snowfall? Show your work
(c) In which quarter is the data most concentrated? Explain how you know.
a. the smallest value is approximately 5 inches. b. the median is approximately 12 inches. c. the data is more spread out in those ranges.
(a) To find the least amount of snowfall, we look at the smallest value on the box and whisker plot. From the plot, we can see that the smallest value is approximately 5 inches.
(b) To find the median amount of snowfall, we look for the line that divides the box in half. From the plot, we can see that the median is approximately 12 inches.
(c) The data is most concentrated in the second quarter. We can see this because the box is the largest in the second quarter, indicating that the data is most tightly clustered in that range. The first and fourth quarters have smaller boxes, indicating that the data is more spread out in those ranges.
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STT 1.3 Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement. Her final position
A is postive
B Is negative
C Could be either positive or negative
Sarah's final position would be negative. Therefore, option B is the correct answer.
Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.
A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.
Therefore, option B is the correct answer.
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Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AD=10 and CD=26, solve for AC. Round your answer to the nearest tenth if necessary. If the answer cannot be determined, click "Cannot be determined."
The answer to AC of the circle geometry with tangent is 26.
Solving the Circle GeometrySince CD is the diameter of the circle, then triangle ADC is a right-angle triangle with right angle at D.
Using Pythagorean theorem to find AC:
AC² = AD² + DC²
AC² = 10² + 26²
AC² = 676
AC = √676
AC = 26
Therefore, AC = 26.
Pythagorean Theorem is a fundamental theorem in Euclidean geometry that relates to the three sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In other words:
a² + b² = c²
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the radius of a cylinder is 9 inches and the height is 11 inches how much grain could it hold
Answer:
to know how much grain the cylinder can contain/hold you calculate the volume of the cylinder.
Step-by-step explanation:
volume= πr^2h
=π×9^2×11
=891π inches cube/2799.16 inches cube