A square has a perimeter of 20 cm. A new square is
created that has double the perimeter of the original
square. How does the area of the new square
compare to the area of the original square?​

Answer:

153 units^2

Step-by-step explanation:

Formula for area of a trapezoid is: A=(b1+b2)*1/2*h

b1=10

b2=24

h=9

Thus:

A=(10+24)*1/2*9

A=34*1/2*9

A=17*9

A=153

So the area of the trapezoid is 153 units^2

Answer: 153

step by step Explanation

Answer:

The total cost is $34.24.

Step-by-step explanation:

Given : Bob is looking to buy a new baseball cap with his favorite team’s logo on it. He finds one that normally sells for $32. If a 7% sales tax is added.

To find : What is the total cost?

Solution :

The sales price = $32

The tax rate = 7%=0.07

The sales tax is given by,

[tex]\text{Sales tax}=\text{Rate}\times \text{Price}[/tex]

[tex]\text{Sales tax}=0.07\times 32[/tex]

[tex]\text{Sales tax}=2.24[/tex]

Now, adding to sales price

Total cost = 32+2.24

Total cost = $34.24

Therefore, the total cost is $34.24.

Answer:

7 + q/2

Step-by-step explanation:

"seven more than half of a number"?

There are two sides to the phrase

1) let the number be "q"

2) Seven (7) more: Adding seven (7 +)

3) Half of a number: dividing the number by '2'

Equation = 7 + q/2

Answer:

[tex]x \: < \: 3\: and \: x\: > \: 2[/tex]

Step-by-step explanation:

The given inequality is

[tex]4x - 4 \: < \: 8 \: and \: 9x + 5 \: > \: 23[/tex]

Add 4 to both sides of the first inequality and subtract 5 from both sides of the second inequality.

[tex]4x \: < \: 8 + 4 \: and \: 9x\: > \: 23 - 5[/tex]

We simplify to get:

[tex]4x \: < \: 12 \: and \: 9x\: > \: 18[/tex]

Divide through the first inequality by 4 and the second by 9.

[tex]x \: < \: 3\: and \: x\: > \: 2[/tex]

Area of the figure is 71.13

Step-by-step explanation:

Find the area of the semicircle. Here, radius = 3.

Area = 1/2 πr² = 1/2 × 3.14 × 3² = 14.13

Area = length × width = 8 × 6 = 48

Area = 1/2 × base × height = 1/2 × 3 × 6 = 9

Area of the figure = 14.13 + 48 + 9 = 71.13

Answer:

13/52

Step-by-step explanation:

i think that because in one deck of cards there are 52 cards in total and you divide 52 ÷ 4 it will give you 13 and you divide by four because there are 4 suits in total.

Answer:

The coordinates of [tex]P^\prime[/tex] would be [tex](3,\, 0)[/tex].

Step-by-step explanation:

The two points [tex]P[/tex] and [tex]P^\prime[/tex] are on a Cartesian plane.

By convention, the positive [tex]x[/tex]-axis on a Cartesian plane points to the right. As a result,

Also by convention, the positive [tex]y[/tex]-axis on a Cartesian plane points upwards. Similarly,

In this case,

Therefore, the coordinates of [tex]P^\prime[/tex] would be [tex](3,\, 0)[/tex].

Answer:

(3,0)

Step-by-step explanation:

The two points  and  are on a Cartesian plane. By convention, the positive -axis on a Cartesian plane points to the right. As a result,Moving a point to the right by  units is the same as adding  to its -coordinate. If the point was initially at , it would be moved to .Moving a point to the left by  units is the same as subtracting  from its -coordinate. If the point was initially at , it would be moved to .Also by convention, the positive -axis on a Cartesian plane points upwards. Similarly, Moving a point upwards by  units is the same as adding  to its -coordinate. If the point was initially at , it would be moved to .Moving a point downwards by  units is the same as subtracting  from its -coordinate. If the point was initially at , it would be moved to .In this case, Point  was initially at . is at  after it is moved to the left by  units. That's the same as . is at  after it is moved upward by  units. That's the same as .Therefore, the coordinates of  would be .

Answer:

Set 1: 43 ft3 + 21 ft3 = 64ft3

Red prism in set 2: 16ft3

Step-by-step explanation:

When you add the first one together you get 64. So what plus 48 = 64? Your answer is 16.

Answer:

54 or as an expression (3 * 13) + (3 * 5)

Step-by-step explanation:

Step 1:  Distribute

To distribute means to break the parenthesis apart.  To make two different combinations.

3(13 + 5)

(3 * 13) + (3 * 5)

Step 2:  Multiply it out

(3 * 13) + (3 * 5)

39 + 15

54

Answer:  54 or as an expression (3 * 13) + (3 * 5)

Answer: 39 + 15

Step-by-step explanation: 3(13 + 5) can be simplified by distributing the 3 through both terms that are inside the parentheses.

So we have 3(13) + 3(5) which simplifies to 39 + 15 or 54.

So 3(13) + 3(5) is an equivalent.

Answer:

6 * [tex]10^{3}[/tex] larger

Step-by-step explanation:

divide [tex]\frac{6*10^{8}}{1*10^{5} }[/tex]

[tex]\frac{6*10^{8}}{1*10^{5} }[/tex] = 6 * [tex]10^{3}[/tex]

Answer:

6000

Step-by-step explanation:

aka 6*10^3

The area of the shaded region is 0.7257.

The area of the shaded region represents the probability that a standard normal variable will be less than 0.74.

Since the standard normal distribution is symmetrical, the area less than -0.74 is equal to the area greater than 0.74, which can be found using the standard normal table or a calculator.

Using the standard normal table, we find that the area less than -0.74 is 0.2743.

Therefore, the area greater than 0.74 is also 0.2743.

The total area under the curve is 1, so the area less than 0.74 is 1 - 0.2743 = 0.7257.

Complete Question:

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation.

Final answer:

The model diameter of the bicycle wheel is found using the scale factor of 1:5 and the actual diameter of 24 inches (2 feet). By setting up a proportion and solving for the model diameter, we find it to be 4.8 inches.

Explanation:

To find the missing diameter of the bicycle wheel model when given the actual diameter and a scale factor, we use a proportion:

The scale is given as 1:5, which means 1 unit on the model represents 5 units in reality. First, we need to convert the actual diameter of 2 feet into inches because the model's diameter will be given in inches. There are 12 inches in 1 foot, so 2 feet is 24 inches.

After calculating, the model diameter is 4.8 inches.

Step-by-step explanation:

[tex] \sqrt[8]{ {x}^{2} {y}^{6} } \\ \\ = ( {x}^{2} {y}^{6} )^{ \frac{1}{8} } \\ \\ = {x}^{2 \times \frac{1}{8}} {y}^{6\times \frac{1}{8}} \\ \\ = x^{\frac{1}{4}} {y}^{3\times \frac{1}{4}} \\ \\ = x^{\frac{1}{4}} {y}^{\frac{3}{4}} \\ \\ = \sqrt[4]{x {y}^{3} } \\ [/tex]

Final answer:

[tex]\(\sqrt[8]{x^2 y^6} = x^{\frac{1}{4}} y^{\frac{3}{4}}\)[/tex] This is the expression in its simplest radical form.

Explanation:

To simplify the given expression [tex]\sqrt[8]{x^2 y^6}[/tex], we must consider the rules for radicals and exponents.

Recall that [tex]\(\sqrt[n]{a^m} = a^{\frac{m}{n}}\)[/tex], assuming [tex]\(a\geq0\)[/tex] when n is even. Breaking down the radicals, we can rewrite the expression as:

Since both terms are under the same radical, we can multiply them together:

[tex]\(\sqrt[8]{x^2 y^6} = x^{\frac{1}{4}} y^{\frac{3}{4}}\)[/tex]

This is the expression in its simplest radical form.

Answer:

18

Step-by-step explanation:

one half times (four plus eight)

Writing mathematically

1½ ( 4+8)

Using BODMAS

we'll take the bracket first

1½ × 12

Change 1½ to improper fraction = 3/2

3/2 × 12 = 3×6

= 18

I hope this was helpful, please mark as brainliest

Answer: 6.

Step-by-step explanation: First, answer the question in the brackets, that equals 12. Take the 12 and multiply it by 1/2. When you do this, you are basically dividing it by 2, which gives you 6.

Hope this helps!

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me  = 20

The number of objects collected by my friend  = 20

Let us assume:

The number of rocks collected by me  = m

The number of fossils collected by me  = 2 k

⇒ m +  2 k =  20  .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)  

= 3 x (m)  = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me)    = 1/2 x (2k )  = k

⇒ 3 m +   k =  20  .... (2)

Solving (1)and (2) for the value of m and k, we get:

m +  2 k =  20     ⇒ m = 20 - 2 k ... Put this in (2)

3 m +   k =  20  ⇒  3 (20 - 2 k) +  k = 20

⇒ 60 - 6 k +  k  = 20

or, - 5k = -40

or, k = 40/5  = 8

⇒ k= 8

m + 2(8)  = 20

or, m = 4

Hence, the number of rocks collected by me  = m = 4

The number of fossils collected by me  =  2 k = 2 (4)  = 16

Hence, the number of rocks collected by my friend   = 3 m  = 3 x 4 = 12

The number of fossils collected by my friend   =   k =  8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

You collect 4 rocks and 16 fossils. Your friend collects 12 rocks and 8 fossils.

You and your friend each collect 20 objects. Let's define our variables:

Let R represent the number of rocks you collect. Let F represent the number of fossils you collect.

You collect 20 objects in total:

R + F = 20

Your friend collects three times as many rocks and half as many fossils as you:

Rocks: 3R Fossils: F / 2

Your friend also collects 20 objects in total:

3R + F / 2 = 20

We have two equations:

R + F = 20 and 3R + F / 2 = 20

First, solve equation 1 for F:

F = 20 - R

Next, substitute this into equation 2:

3R + (20 - R) / 2 = 20

Multiply everything by 2 to clear the fraction:

6R + 20 - R = 40

Simplify:

R + 20 = 40

Subtract 20 from both sides:

5R = 20

Divide by 5:

R = 4

Now, substitute R back into the equation for F:

F = 20 - 4

F = 16

Then, 3R= 12 and F/2 = 8

Thus, you collect 4 rocks and 16 fossils.  Your friend collects 12 rocks and 8 fossils.

Answer: there both equal

Step-by-step explanation: first we have to find the unit rate of both. Francisco unit rate for his recipe is 12/18=6/9=2/3 so the unit rate is 2/3

Nia uses 8/12=4/6=2/3 so the both will have the same if they use 6 ounces

Final answer:

Both Francisco and Nia use a proportional amount of milk in their smoothies; thus, they would both use 4 ounces of milk for 6 ounces of fruit.

Explanation:

To determine who would use more milk if they each use 6 ounces of fruit, we need to compare Francisco's and Nia's milk-to-fruit ratios. Francisco uses 12 ounces of milk for every 18 ounces of fruit, and Nia uses 8 ounces of milk for every 12 ounces of fruit. To find how much milk they would use for 6 ounces of fruit, we can set up a proportion for each and solve for the amount of milk.

For Francisco:
12 ounces of milk / 18 ounces of fruit = x ounces of milk / 6 ounces of fruit.
Using cross-multiplication, we get:
18x = 12 × 6.
Dividing both sides by 18 gives us:
x = (12 × 6) / 18 = 4 ounces of milk.

For Nia:
8 ounces of milk / 12 ounces of fruit = y ounces of milk / 6 ounces of fruit.
Using cross-multiplication, we get:
12y = 8 × 6.
Dividing both sides by 12 gives us:
y = (8 × 6) / 12 = 4 ounces of milk.

Therefore, both Francisco and Nia would use 4 ounces of milk for 6 ounces of fruit in their smoothie recipes.

Answer:

13.89 Dollars

Step-by-step explanation:

Add 47.72 and 3.39

51.11

Subtract that answer from 65

13.89

Answer:

($13.39 mistype) $13.89

Step-by-step explanation:

65 - 47.72 = 17.28

17.28 - 3.39 = 13.89

The answer is $13.89. Don't feel ashamed you don't know the answer. Have you considered tutoring?

Answer:

The probability that I mist sample 5 12-year-olds to find the first one who can pick out Colorado on a map is 1.  

Step-by-step explanation:

The research suggests that about 24% of 12-year-olds in the US can pick out the state of Colorado on a map. The probability always exceeds the probabilities of picking out 1 over 5 12-year-olds, which is 20%, in a sample is well-represented the 12-year-old population of the US. Hence, the answer is 1 (or 100%).

Step-by-step explanation:

[tex]x + 15 \degree = 102 \degree \: \\ (corresponding \: \angle s) \\ \therefore \: x = 102 \degree - 15 \degree \\ \huge \red { \boxed{\therefore \: x = 87 \degree}}[/tex]

The value of x according to the relationship between the angles is; x= 87°

By mathematical convention, Corresponding angles (otherwise called F-angles) are equal.

On this note; the angle 102° and x +15° are equal.

Therefore,

x = 87°.

Read more on corresponding angles;

https://brainly.com/question/2009183

Answer:

Bayes' theorem, was named after a  British mathematician from the 18th-century named Thomas Bayes. The Bayes´ theorem is a mathematical formula for determining conditional probability. The theorem provides a way to revise any existing predictions or theories, and given new or additional evidence. It updates probabilities.

Hope it helps answer the question:)

Final answer:

Bayes' Theorem is a principle in statistics used to update the probability of a hypothesis in light of new evidence. It combines prior knowledge with observed data to estimate probabilities, and is widely applicable in different fields for making informed decisions.

Explanation:

Understanding Bayes' Theorem

Bayes' Theorem is a fundamental concept in the field of probability and statistics. It offers a way to revise existing predictions or theories in light of new evidence. Bayes' theorem states that the probability of A occurring given that B has occurred is P(A|B) = P(A and B) / P(B). In Bayesian analysis, this is often expressed as the probability of a hypothesis given observed data. The formula can be expanded to include prior knowledge by considering the probability of the hypothesis before observing the data, P(A), and the likelihood of observing the data given the hypothesis, P(B|A).

The theorem has extensive applications across various fields, including science, engineering, and even history. For instance, it can be utilized for the estimation of probabilities of unobserved traits, such as determining the age of individuals based on skeletal indicators. By considering prior knowledge and observed data, Bayes' theorem provides a powerful tool for updating beliefs and making informed decisions.

In practice, Bayesian approaches can incorporate prior information that quantifies existing knowledge about a parameter, which can lead to greater certainty in parameter estimates. The use of Bayesian models is often facilitated by software like WinBUGS, which helps in applying complex Bayesian methods to practical problems

Answer:

X=5m-6

Step-by-step explanation:

Answer: 11/3 is a fraction that cannot be written as a whole number

Step-by-step explanation:

11/3 is a fraction that can only be reduced to 3 2/3

Answer:

4

Step-by-step explanation:

Sample size: 4

Mean: 19

MAD: 4

Answer:

The graph of

[tex]y = \frac{2.5}{x} [/tex]

us a vertical stretch of the graph of

[tex]y = \frac{1}{x} [/tex]

by a factor of 2.5.

Step-by-step explanation:

The given functions are

[tex]y = \frac{1}{x} [/tex]

and

[tex]y = \frac{2.5}{x} [/tex]

The graph of

[tex]y = \frac{1}{x} [/tex]

is the parent rational function.

The graph of

[tex]y = \frac{2.5}{x} [/tex]

is a vertical stretch of the parent rational function by a factor of 2.5

Question 1

The given system of equations is:

[tex]y = {x}^{2} + 5x + 6 \\ y = 3x + 6[/tex]

Equate the two equations:

[tex] {x}^{2} + 5x + 6 = 3x + 6[/tex]

Rewrite in standard form:

[tex] {x}^{2} + 5x - 3x + 6 - 6 = 0[/tex]

[tex] {x}^{2} + 2x = 0[/tex]

[tex]x(x + 2) = 0[/tex]

[tex]x = 0 \: or \: x = - 2[/tex]

When we put x=0, in y=3x +6, we get:

[tex]y = 3(0) + 6 = 6[/tex]

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

[tex]y = 3( - 2) + 6 = 0[/tex]

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

[tex]f(x) = {x}^{6} - {x}^{4} [/tex]

Let us put x=-x,

[tex]f( - x) = {( - x)}^{6} - {( - x)}^{4} [/tex]

This gives:

[tex]f( - x) = {x}^{6} - {x}^{4} [/tex]

We can observe that:

[tex]f(x) = f( - x)[/tex]

This is the property of an even function.

Question 3:

The given function is

[tex]f(x) = {x}^{2} + 3x - 2[/tex]

The average rate of change of f(x) from x=a to x=b is given as:

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

[tex] = \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11[/tex]

The average rate of change is 11

Answer:

2x(x - 1)(x + 1)

Step-by-step explanation:

2x³ - 2x

2x(x² - 1)

2x(x - 1)(x + 1)

Answer:

the answer is 2x(x+1)(x-1)

Step-by-step explanation:

Answer:

a. Every integer is a __________ number.  

A.  

rational < this onee

B.  

whole  

C.  

natural  

D.  

negative

Step-by-step explanation:

The factory will make 350.56 liters of apple juice in 7.2 minutes.

To find out how many liters of apple juice the factory will make in 7.2 minutes, we can set up a proportion. If the factory makes 48.8 liters of apple juice per minute, then the amount of apple juice made in 7.2 minutes would be:

48.8 liters of apple juice / 1 minute = x liters of apple juice / 7.2 minute

Cross multiplying, we get:

x = (48.8 liters of apple juice / 1 minute) * (7.2 minutes)

Simplifying the expression, we find that the factory will make 350.56 liters of apple juice in 7.2 minutes.

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Answer: 1096cm^2

Step-by-step explanation: 2(17x14+ 17x10+ 10x14)