Determine whether the triangles are congruent by using transformations. Explain your reasoning. ​

Answer:

1. The cost increases $0.30 each time 1 goldfish is

added.

Answer:

a)45min

b)900min

Step-by-step explanation:

We were told that it takes Matt 3 minutes to read one page in a book.

It implies that 3minutes = 1page of the book

Then he continues to read at the same pace, he can read 15 similar pages in minutes.

a)Then, he can read 15 similar pages in

15x3 minutes.which is 45minutes.

b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins

Answer: has anyone seen my dad?

Answer:

\(x = 1.25\)

\(y = 0\)

Step-by-step explanation:

Given

\(4x - 5y = 5\)

\(0.08x + 0.10y = 0.10\)

Required

Determine the solution

Make x the subject of formula in: \(4x - 5y = 5\)

\(4x = 5 + 5y\)

Divide both sides by 4

\(\frac{4x}{4} = \frac{5 + 5y}{4}\)

\(x = \frac{5 + 5y}{4}\)

Substitute \(x = \frac{5 + 5y}{4}\) in \(0.08x + 0.10y = 0.10\)

\(0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10\)

Solve the fraction

\(0.02(5 + 5y) + 0.10y = 0.10\)

Open the bracket

\(0.1 + 0.1y + 0.10y = 0.10\)

\(0.1 + 0.2y = 0.10\)

Subtract 0.1 from both sides

\(0.1-0.1 + 0.2y = 0.10 - 0.1\)

\(0.2y = 0\)

Divide both sides by 0.2

\(y =0\)

Substitute 0 for y in \(x = \frac{5 + 5y}{4}\)

\(x = \frac{5 + 5*0}{4}\)

\(x = \frac{5 + 0}{4}\)

\(x = \frac{5 }{4}\)

\(x = 1.25\)

Answer:

3  8-ounce glasses of water were left

Step-by-step explanation:

If you divide 32 by 8, you get 4. And since she already drank a glass of water, you subtract 1 from 4, and you are left with 3.

a. The number of people that enjoyed only skiing is 129

b. The number of people that enjoyed snow boarding and ice skating only is 13

c. The number of people that enjoyed snow board or ice skating is 221

d. The number of people that enjoyed none is 35

e. The number of people that enjoyed at least two is 62

sets is a collection of well-defined objects or elements.

The total number of visitors is 350

n(ski and snow board only) = 49-2 = 47

n( ski and skating) only= 2-2 = 0

n( snow board and skating) = 15-2 = 13

n( snow board only) = 154-(47+13+2) = 92

n( skating only) = 57-(13+2) = 32

a. The number of that that enjoyed skiing only = 178-(47+2) = 129

b. n( skating and snow board) only= 13

c. n ( ski or snow board) only = 129+92 = 221

d. the number of people that didn't enjoy any = 350-(129+47+92+13+32+2)

= 350-315 = 35

e. the number of people that enjoyed at least two = 13+2+47 = 62

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The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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Answer:

80,543 employees total

Step-by-step explanation:

22.1% of total = 17,800 employees

0.221 of x = 17800

0.221 • x = 17800

x = 17800 / 0.221

x = 80542.98643

x ≈ 80543 employees total

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Answer:

V =960 in ^3

Step-by-step explanation:

V = l*w*h

V = 12*8*10

V =960 in ^3

In linear equation, The solution to this system is (80, 120)

What is a linear equation example?

The following system of equations represents the given situation

x + y = 200

x = y - 40; substituting x from this equation to the first:

y - 40 + y = 200

2y = 240

y = 120

Corresponding value of x:

x = 120 - 40

x = 80

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Answer:

5\(\sqrt[\\]{3} \\\) or about 8.66

Step-by-step explanation:

To find the distance of any line, you have to use distance formula.

\(\sqrt{(y-y_{1} )^{2} + (x-x_{1} )^{2}\)

So, we insert our points:

\(\sqrt{(5-9 )^{2} + (-3-4 )^{2}\)

Then you solve, and should end up with \(\sqrt{75}\). Either you can simplify it for an exact number, or you can round. It depends on what the directions ask for.

Considering the equation, f(x) = 0.25(2)x

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

In  the problem, with the function f(x) = 0.25(2)x

the starting = 0.25

the base = 2

the exponents = x

The base is determines exponential growth or decay

When the base is less than one this means exponential decay but when the base is greater than one then we have exponential growth

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it A

Step-by-step explanation:

To make the ratios equivalent, we can use the numbers 3 and 6:

3 : 1 is equivalent to 6 : 3

To complete the ratios and make them equivalent, we need to find two numbers from the given set (3, 4, 6, 12, 15) that can be used to replace the question marks.

Let's start with the first ratio: ? : 1

We need to find a number that, when divided by 1, gives an equivalent ratio. Since any number divided by 1 is itself, we can choose any number from the given set for the first ratio. Let's choose 3 for this example. So, the ratio becomes:

3 : 1

Now, let's move on to the second ratio: ? : 3

Similarly, we need to find a number that, when divided by 3, gives an equivalent ratio. Looking at the given set, we see that 6 is divisible by 3. So, the ratio becomes:

6 : 3

Therefore, to make the ratios equivalent, we can use the numbers 3 and 6:

3 : 1 is equivalent to 6 : 3

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Answer:

0.77 or 77%

Step-by-step explanation:

Given:

Percentage of brown peanuts = 12%

Percentage of yellow peanuts = 15%

Percentage of red peanuts = 12%

Percentage of blue peanuts = 23%

Percentage of orange peanuts = 23%

Percentage of green peanuts = 15%

Total = 0.12 + 0.15 + 0.12 + 0.23 + 0.23 + 0.15 = 1

Probability that a randomly selected peanut M&M is not orange:

P(orange)' = 1 - P(orange)

Where,

P(orange) = 23% = 0.23

Thus,

P(orange)' = 1 - 0.23

P(orange) ' = 0.77

Probability that a randomly selected peanut is not orange = 0.77

The volume of the solid obtained by rotating the region bounded by y = √(x - 1), y = 0, and x = 5 about the x-axis is 10π cubic units.

Given, y = √(x - 1), y = 0, and x = 5To find the volume of the solid obtained by rotating the region bounded by y = √(x - 1), y = 0, and x = 5 about the x-axis.Volume of a solid obtained by rotating a region bounded by y = f(x), y = 0, x = a, and x = b about the x-axis is given byV = π∫ab (f(x))^2 dxHere, a = 1, b = 5 and f(x) = √(x - 1)So, the volume of the solid obtained by rotating the region bounded by y = √(x - 1), y = 0, and x = 5 about the x-axis isV = π∫ab (f(x))^2 dxFinding out the limits of integration for the given function y = √(x - 1)When y = 0, √(x - 1) = 0Or, x = 1When x = 5, y = √(5 - 1) = 2So, the limits of integration are a = 1 and b = 5.So, the required volume of the solid can be obtained by solving the integralπ∫ab (f(x))^2 dx = π∫15 (√(x - 1))^2 dx= π∫15 (x - 1) dx= π[(x^2/2 - x)|_1^5]= π[(5^2/2 - 5) - (1^2/2 - 1)]= π(25/2 - 5/2)= 10π

Therefore, the volume of the solid obtained by rotating the region bounded by y = √(x - 1), y = 0, and x = 5 about the x-axis is 10π cubic units.

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To evaluate the limit using L'Hospital's rule, we need to take the derivative of both the numerator and denominator separately until we get a determinate form. We have:

lim (e^x + 2x - 1) / (2x)

Taking the derivative of the numerator:

lim (e^x + 2) / 2

Taking the derivative of the denominator:

lim 2

Since we now have a determinate form, we can evaluate the limit by plugging in the value of x. We get:

(e^x + 2) / 2

As x approaches infinity, e^x also approaches infinity, so the limit diverges to positive infinity. Therefore, the limit does not exist.

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The center of a dilation is a fixed point in the plane about which all points are expanded or contractedAnswer:

Step-by-step explanation:

Answer:

x > - 5

Step-by-step explanation:

6( \(\frac{x}{2}\) + 4) > 9 ← distribute terms in parenthesis by 6

3x + 24 > 9 ( subtract 24 from both sides )

3x > - 15 ( divide both sides by 3 )

x > - 5

Answer:

11 tens and 7 twenty's

Step-by-step explanation:

5 times 50 is 250 so we already have half

250, 140 + 110=250

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

If you invest $3,750 at the end of each of the next six years at an interest rate of 1.9% per annum, you will have approximately $23,596 after 6 years.

To calculate the total amount accumulated after 6 years, we can use the formula for the future value of an ordinary annuity. The formula is given as:

Future Value = Payment * [(1 + Interest Rate)^n - 1] / Interest Rate

Here, the payment is $3,750, the interest rate is 1.9% per annum (or 0.019 as a decimal), and the number of periods (years) is 6.

Substituting the values into the formula:

Future Value = $3,750 * [(1 + 0.019)^6 - 1] / 0.019

= $3,750 * (1.019^6 - 1) / 0.019

≈ $23,596

Therefore, after 6 years of investing $3,750 at the end of each year with a 1.9% interest rate per annum, you would have approximately $23,596. Hence, the correct answer is $23,596.

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Answer:17

Step-by-step explanation:

You replace x with 5 to make it 3(5)+2

3x5= 15

15+2=17

Answer:

P + (.25)(P)

Step-by-step explanation:

First off I WANT A DIAMOND PONY :)

P stands for what the price of the pony is, and (0.25)(P) is the diamond pony tax that has to be added to the original price.

Hope I helped, and if you are extremely grateful, send me a diamond pony :D

:)

Answer:

P + 0.25P

Step-by-step explanation:

The limit - A. lim 3x = 21, x → 7. The correct choice is A.

The limit of 3x as x approaches 7 can be evaluated by substituting the value 7 into the expression 3x:

lim 3x = 3(7) = 21.

x → 7

Therefore, the correct choice is:

A. lim 3x = 21.

x → 7

To elaborate further, when we evaluate the limit of 3x as x approaches 7, we substitute the value of 7 into the expression 3x. This gives us:

lim (3x) = 3(7) = 21

This means that as x gets arbitrarily close to 7 (but not equal to 7), the value of 3x approaches 21. In other words, as we consider x values approaching 7 from both the left and the right sides, the corresponding values of 3x approach 21.

Therefore, the limit exists and we can determine its value (which is 21), we can conclude that the limit of 3x as x approaches 7 is indeed 21 (Choice A).

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The measure of the exterior angle of the triangle is 114 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The measure of the exterior angle of the triangle can be found using exterior angle theorem.

Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence,

24 + 2x + 18 = 3x + 6

2x - 3x = 6 - 18 - 24

-x = -36

divide both sides of the equation by -1

x = 36

Hence,

exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees

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Answer:

\(\frac{-7}{10}\ or \ 0.7\)

Step-by-step explanation:

step 1.

\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)

step 2.

put it in a calculator

step 3

=\(\frac{-7}{10}\ or \ 0.7\)

Answer:

the answer is just 0

Step-by-step explanation: