M'N'O'P' has vertices at M'(-5, -4), N'(6, 4), O'(6, 7), and P'(3, 7). The center of dilation is the origin, MNOP has vertices at M(4. 5, 6), N(9, 6), O(9, 10. 5), and P'(4. 5, 10. 5). What is the algebraic representation of this dilation?

Answer:

make me brinliest

Step-by-step explanation:

he sai that evolution occurs because of changes during lifetime passed onto offspring

Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.

Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.

Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,

Step-by-step explanation:

Answer:

18 / 19

Step-by-step explanation:

Divide it by 2

The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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 The solution to the system of equations is (x, y) = (-5/3, -4/3).

What is system of linear equations?

A system of linear equations is a set of two or more equations with two or more variables that are to be solved simultaneously. Each equation in the system is linear, meaning it can be written in the form of ax + by + cz + ... = d, where a, b, c, and d are constants and x, y, z, and other variables are unknowns.

The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system. The solution of a system of linear equations is a set of values for the variables that make all of the equations true.

There are different methods to solve systems of linear equations, such as substitution method, elimination method, and matrix method. These methods involve manipulating the equations in the system to isolate one variable, substitute its value into another equation, and eventually find the values of all the variables.

Systems of linear equations are used in many areas of mathematics, science, engineering, and economics to model real-world situations and solve practical problems.

To solve the system of equations:

x + y = -3 (Equation 1)

y = 2x + 2 (Equation 2)

We can substitute Equation 2 into Equation 1 for y and solve for x:

x + (2x + 2) = -3

3x + 2 = -3

3x = -5

x = -5/3

Now that we know x, we can substitute it into either Equation 1 or Equation 2 to find y. Let's use Equation 2:

y = 2x + 2

y = 2(-5/3) + 2

y = -10/3 + 6/3

y = -4/3

Therefore, the solution to the system of equations is (x, y) = (-5/3, -4/3).

Comparing this solution to the answer choices, we see that option (b) is the correct answer:

(a) 5/3, 4/3

(b) -5/3, -4/3 <--- Correct answer

(c) -3/5, -3/4

(d) 3/4, 3/5

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Answer:

-4t^4+81

Step-by-step explanation:

(9-2t^2)(9+2t^2)

−4

Answer:

36

Step-by-step explanation:

do x to the second power then multiply 4 to get your answer

A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

\(m = \frac{5}{3}\)  

\(b = \frac{4}{3}\)

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

\(\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}\)

\(y = \frac{5}{3}x + \frac{4}{3}\)

This means that  \(m = \frac{5}{3}\)  and \(b = \frac{4}{3}\).

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

15 m2 is the answer

Step-by-step explanation:

The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. The side of a rhombus is 15 m2. If the length of one diagonal of the rhombus is 8 cm, then find length of the other diagonal. so, the answer is 15 m2

Answer: 22 m2

Step-by-step explanation:

Answer:

10,11,12

Step-by-step explanation:

X+x+1+x+2

X+2(x+1)=x+2 + 20

X +2x+2 = x+22

3x+2 = x+22

2x +2 = 22

2x = 20

X = 10

Numbers are 10,11,12

Double checking 10+2*11 = 32

12+20 = 32

So it works

Answer:

Step-by-step explanation:

CBA = 31

BAC = 59

31 + 59 = 90

The two angles = 90 degrees.

There are complementary.

Answer:

CBA = 31

BAC = 59

31 + 59 = 90

The two angles = 90 degrees.

There are complementary.

The probability of throwing an odd number with a normal dice is 1/2

When rolling a normal six-sided B, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these six numbers, three of them (1, 3, and 5) are odd numbers. Thus, there are three favorable outcomes (odd numbers) out of a total of six possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of throwing an odd number is 3/6, which simplifies to 1/2.

This means that there is a 50% chance of rolling an odd number with a normal six-sided die. In other words, if you roll the die many times, you can expect that approximately half of the outcomes will be odd numbers.

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The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

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Answer:

4/5

Step-by-step explanation:

sohcahtoa meaning sin is opposite over hypotenuse

Answer:

40 total students

Explanation:

Total students: 100%

Let the number of total students be x.

Solving stepwise:

7.5% : 100% --> 3 : x

\(\rightarrow \sf \dfrac{7.5}{100} = \dfrac{3}{x}\)

\(\rightarrow \sf 7.5x = 3(100)\)

\(\rightarrow \sf 7.5x = 300\)

\(\rightarrow \sf x =40\)

We can conclude that we are 96% confident that the true population mean falls within the calculated confidence interval.

To find the 96% confidence interval for the true population mean of 4-day-old infants, we can follow these steps:

Step a: State the Critical Values:

Since the sample size is large and the population standard deviation is known, we can use the Z-distribution. For a 96% confidence level, we need to find the critical Z-values. The critical Z-value for a two-tailed test with a 96% confidence level is found by subtracting (1 - 0.96)/2 from 1 and looking up the corresponding value in the standard normal distribution table. The critical Z-value for a 96% confidence level is approximately 1.96.

Step b: State the Margin of Error:

The margin of error is calculated by multiplying the critical Z-value by the standard deviation divided by the square root of the sample size.

Margin of Error = Z * (Standard Deviation / √(Sample Size))

Step c: Confidence Interval:

The confidence interval is calculated by subtracting and adding the margin of error to the sample mean.

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

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Answer:

87

Step-by-step explanation:

Answer:87

Step-by-step explanation:

12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

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Answer:

17.

Angle A= 25°

Angle B= 65°

18.

Angle Q= 65°

Angle R= 115°

Would you like an explanation or a step by step?

Answer: terminating

Step-by-step explanation:

Answer:

7.2 is a terminating decimal.

Step-by-step explanation:

Terminating decimals are decimals that have an end point. The decimal does not continue to go on and on with numbers but, it stops at one number which makes it terminating.

Repeating decimals are decimals that go on and on with the same number or same patterns of numbers.

So, since 7.2 has an endpoint, then it is a terminating decimal.

Answer: \((z+6)(z+14)\)

The total area of the shape is 102 cm².

Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

We know that, the area of a rectangle = Length × Breadth.

So, the area of rectangle1 = 15 × 6 = 90 cm²

The area of rectangle2 = 4 × 3 = 12 cm²

Total area = 90+12 =102 cm²

Therefore, the total area of the shape is 102 cm².

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This is what i got for the question 2x+2