graph the image of rectangle STUV after a rotation 90° clockwise around the origin

Answer:

30% decrease

Step-by-step explanation:

14/20 = X/100

Cross Multiply  

100 x(14/20)=X

14 multiplied by 100 equals 1400; 1400 divided by 20 equals 70.

14 is 70% of 20

therefore 30 is 6% of 20

So, it decreases by 30%

The graph is attached.

Given is a triangle ABC, we need to find its coordinates if it is reflected over y = -x,

The rule of reflection over y = -x is,

(x, y) = (-x, -y)

So,

A = (-5, -4)

B = (1, -4)

C = (-1, -5)

After reflection,

A' = (5, 4)

B' = (-1, 4)

C' = (1, 5)

Hence the points after reflection are A' = (5, 4), B' = (-1, 4) and C' = (1, 5)

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Answer:

-360 degrees celcius

Step-by-step explanation:

Where the above condition exists, the probability that the lawn mower will not start on the first try exactly once out of the next two times you mow the lawn is 5/18, or approximately 0.278.

We have,

We can calculate the probability that the lawn mower will not start on the first try exactly once out of the two rounds using a binomial probability distribution.

Let's define a success as the lawn mower starting on the first try, and a failure as the lawn mower not starting on the first try.

The probability of a success is p = 5/6, since the lawn mower does not start on the first try 1/6 of the time.

The probability of a failure is q = 1/6.

The probability of getting exactly one failure out of two trials can be calculated using the binomial probability formula:

P(X = 1) = (2 choose 1) * (5/6)^1 * (1/6)^1

where (2 choose 1) is the number of ways to choose one failure out of two trials.

Simplifying this formula, we get:

P(X = 1) = 2 * 5/6 * 1/6

P(X = 1) = 5/18

Therefore, the probability that the lawn mower will not start on the first try exactly once out of the next two times you mow the lawn is 5/18, or approximately 0.278.

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complete question:

Your lawn mower does not start on the first try 1/6 of the time. Design and usr simulation with number cubes to estimate the probability that your lawn mower will not start on the first try exactly one of the next two times you mow the lawn

Answer:

you posted this in mathematics

Step-by-step explanation:

you chose to post this in mathematics even though that isn't math and is chemistry

Answer:

c= -16..........

.................

Answer:

111°

Step-by-step explanation:

The polygon given is a heptagon having 7 sides.

Sum of interior angles of a 7-sided polygon = (n - 2)*180

= (7 - 2)*180

= 5*180 = 900°

Therefore:

126° + 158° + 120° + 125° + 121° + 139° + x° = 900°

Solve for x

789° + x° = 900°

Subtract 789 from each side

x = 900° - 789°

x = 111°

The AA (Angle-Angle) Postulate and the SSA (Side-Side-Angle) Theorem are used to prove that two triangles are similar.

:

The AA Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that if the corresponding angles in two triangles are equal, the triangles are similar.

The SSA Theorem, on the other hand, is not a valid theorem for proving triangle similarity. SSA stands for Side-Side-Angle, which means having two pairs of corresponding sides proportional and the non-included angle congruent. However, SSA alone does not guarantee triangle similarity because it can lead to ambiguous cases where two distinct triangles can be formed.

In summary, to prove that two triangles are similar, we use the AA Postulate, which requires that the corresponding angles are congruent. The SSA Theorem, while useful in certain cases, is not a valid standalone proof for triangle similarity.

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Answer:  A) -6x-4 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms -4(x+2)-2x+4

-(4x+8)-2x+4

2. Remove parentheses

-4x-8-2x+4

3. Collect like terms

(-4x-2x)+(-8+4) and simplify meaning multiply if you do -4×-2= -6 and if you do -8+4= -4 So, your answer would be -6x-4 never forget the variable that's the letter that I put went the x in it by the way and can you make me Brainliest please thanks and bye!

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

цр = р

The standard deviation of this sampling distribution of sample proportion is:

бр = √ρ(1-ρ)÷n

The information provided is:

ρ = 0.22

ⁿ = 276

As the sample size is large, i.e. n = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of P(р-p<0.06) as follows:

P(р-p<0.06) = P(р-p ÷ бp<0.06 ÷√0.22(1 - 0.22) ÷ 276

= P ( Z < 2.41 )

= 0.99202

≈ 0.992

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

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The appropriate hypotheses for Timmy's investigation are: c) H0: μ1 – μ2 = 0, Ha: μ1 – μ2 ≠ 0.

In hypothesis testing, the alternative hypothesis (also known as the research hypothesis) proposes that there is a difference or relationship between variables being studied, while the null hypothesis assumes that there is no significant difference or relationship.

In the context of travel time between route 1 and route 2, the alternative hypothesis suggests that there is a difference in the average travel time between the two routes. It implies that one route is expected to have either a shorter or longer travel time compared to the other.

On the other hand, the null hypothesis assumes that there is no significant difference in travel time between the two routes. It proposes that any observed difference in travel time between the routes is due to random chance or sampling variability, rather than a true difference.

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Answer:

The y-int represents the base price of $200 for airfare from NYC

The slope represents a cost of 30 cents per mile traveled

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x

If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x

The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%

(A) Using the given information, we can identify the following values:

P = $2,000 (the present value or initial deposit)

r = 4.5% (the annual percentage rate)

n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)

(B) To find the future value of the account balance after 9 years, we can use the formula:

\(S(t) = P(1 + r/n)^{nt}\)

where t is the time in years. Substituting the given values:

\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)

= $2,000(1.505016)

= $2985.17

Therefore, Monique will have $$2985.17 in the account in 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:

\(APY = (1 + \frac{r}{n})^n - 1\)

Substituting the given values:

\(APY = (1 + 0.045/2)^2 - 1\)

= 0.0445 or 4.45%

Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.

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Step-by-step explanation:

1. rectangle

A = l × w

= (3x + 1) (2x - 3)

= 6x² - 7x - 3 in²

2. square

A = s × s

= (3x) × (3x)

= 9x² ft²

3. triangle

(x + 3) + (x - 4) + (2x + 5)

= 4x + 4 m

4. square

perimeter = 4 × s

= 4 × 4x ft

= 16x ft

5. rectangle

perimeter = 2 ( w + l)

= 2 (x + x + 4)

= 2 (2x + 4)

= 4x + 8 in

Answer:

x = 3

Step-by-step explanation:

7 + 6x - 4 = 3x - 9 + 7x

6x -3x - 7x = -9 - 7 + 4

-4x = -12

-4x/-4 = -12/-4

x = 3

Answer:

3+6x=10x-9

3+9=10x-6x

12=4x

12÷4=x

x=3

Number of nails to finish the project by buying are required = 2964 units

1 package of nails contains per unit  = 52 units

To find the no. of packages we have to simply divide the total no. of nails required by the total of no. of nails of unit given in the one package of nails.

So,

Number of package required to the builder

= Total number of nails required to buy by the builder / no. of nails provided  per package

=2964/52

=57 packages

Therefore, No. of packages required by the builder to buy to complete the project

=57 packages needed.

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Answer: 57

Step-by-step explanation:

Just plug it into a calculator.

2964/52 = 57

He needs to buy 57 packages

9514 1404 393

Answer:

Step-by-step explanation:

We can let d represent the number of dimes. Then the number of quarters is 23-d, and the total value of the change is ...

  0.10d + 0.25(23 -d) = 4.70

  -0.15d + 5.75 = 4.70

  1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides

  7 = d . . . . . . . . . . . . . . divide by 0.15

There were 7 dimes in the change purse.

__

There were 23-7 = 16 quarters.

Answer:

They jump at the same height.

Step-by-step explanation:

.8 meters=2.62467 ft

80cm=2.62467 ft

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by \(4/3 \pi r^3\)

surface area of sphere is given by \(4 \pi r^2\)

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

\(4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3\)

Thus, radius of sphere is 3 units.

hope this helped buddy

Peace

Answer:

Initial value: 40. Rate of change: 10

Step-by-step explanation:

You start out with 40 (Initial value) and you'd add 10 (Rate of change) to it everyday.

The factors of functions represented the graph are (x + 4) and (x - 8).The correct option is C. (x + 4) and (x − 8)

From the question, we are to determine the factors of the given function in graph

From the graph, we can observe that the roots of the function are

x = -4 and x = 8

We know that if m and n are the roots of a quadratic function ax² + bx + c,

Then,

(x - m) and (x - n) are factors of the quadratic function

Since, x = -4 and x = 8 are roots of the given function,

Then,

(x + 4) and (x - 8) are factors of the given function.

Hence, the factors are (x + 4) and (x - 8)

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a) No, a single spray of 10 grams of butter would not be enough to entirely cover the area of 4 slices of toast at 2 meters. The area of 4 slices of toast is larger than the area of 1 slice of toast, meaning that it would require more butter than 10 grams to cover the entire area.

b) A single spray of 10 grams of butter would be enough to cover the area of 8 slices of toast at 3 meters.

c) These changes would affect the amount of butter on each piece of toast in that there would be more butter on each piece with a larger rack and further distance from the "butter gun".

d) At 5 meters from the gun, our up-and-coming chef would be able to spray 16 slices of toast with a single burst of 10 grams of butter. Each piece of toast would also have more butter than it would if it was sprayed at a closer distance.

e) To duplicate the original single-slice toast at 5 meters from the gun, the chef would need to reduce the amount of butter being sprayed. He could do this by simply reducing the distance between the gun and the toast rack.

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Complete question :

A harried chef can't keep up with his breakfast orders and decides to automate the process with a "butter gun." The gun provides a 10 gram burst of butter spray with each hit of the trigger. He starts with a rack that holds one piece of toast 1 meter away. The demand again exceeds supply and he realizes he can use the same gun to produce more toast by placing a larger rack at a greater distance. He finds that a four-slice rack works at a distance of 2 meters. Pleased with profits he carries the idea a step further and puts a holder 3 meters away, maintaining a 10 gram spray. See figure below.a) If 1 spray entirely covers the area of a single slice at 1 meter, can it entirely cover the area of 4 slices at 2 meters? Why or why not?b) How many slices can one spray cover with a 3 meter arragnement?c) How do these changes affect the amount of butter on each piece of toastd) Our up-and-coming chef moves the fun back to 5 meters. Predict how much toast he can spray and how much better each piece gets.e) Explain how he could duplicate the original single-slice toast at 5 meters from the gun.

Answer:7 familes

21 divided by 3=7

Step-by-step explanation:

Answer:

7 families

Step-by-step explanation:

xnnhcnhffnhdbhdgndnydyndn

The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."

In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.

Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.

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Answer:

13x^8 + 4x^5 - 16x^2

Step-by-step explanation:

Standard form is just rearranging each group of numbers so that the group with the most exponents on the variables is at the beginning. So it's basically least to greatest but with exponents. Hope this helped!

The exponential growth rate is approximately 3.1% per year, and the equation is C(t) = 0.22 * e^(0.031t). The cost of a bottle of ketchup in 2012 would be approximately $1.72.

To find the exponential growth rate, we use the formula:

r = (ln(P2/P1)) / (t2 - t1)

where P1 is the initial value, P2 is the final value, t1 is the initial time, t2 is the final time, and ln denotes the natural logarithm. Substituting the values we get:

r = (ln(1.39/0.22)) / (2007-1966) = 0.0271 or 2.7% (to the nearest tenth of a percent)

The equation for exponential growth is:

C(t) = C0 * e^(rt)

where C0 is the initial cost and C(t) is the cost at time t. Substituting the values we get:

C(t) = 0.22 * e^(0.0271t)

To find the cost of a bottle of ketchup in 2012, we substitute t = 2012 in the above equation:

C(2012) = 0.22 * e^(0.0271 * 2012) = $1.72 (rounded to the nearest cent)

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