in a class of 50 students, 35 are boys . What is the ratio of boys to girls in the class​

Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

The parametric equations for the line passing through points A(-3, 2) and B(5, 0) ar; x(t) = -3 + 8t, and y(t) = 2 - 2t.

option C

The parametric equations for the line passing through point A(-3, 2), and point B(5, 0) is calculated as follows;

The x-coordinate (x(t)) of a point on the line is calculated as follows;

\(x(t) = x_A + (x_B - x_A)t\)

Where;

x(t) = -3 + (5 - (-3))t

x(t)  = -3 + 8t

x(t)  = -3 + 8t

The y-coordinate (y(t)) of a point on the line is calculated as;

\(y(t) = y_A + (y_B - y_A)t\)

Where;

y(t) = 2 + (0 - 2)t

y(t)  = 2 - 2t

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Answer:

2 = 51 degrees

3 = 51 degrees

4 = 51 degrees

not that sure

Step-by-step explanation:

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Answer:

74

Step-by-step explanation:

\(5(2(10)-5)-1 \\ \\ =5(20-5)-1 \\ \\ =5(15)-1 \\ \\ =75-1 \\ \\ =74\)

It would take her 5 months

Populations tend to accumulate late-acting deleterious mutations through genetic drift, while they accumulate antagonistic-pleiotropic alleles through natural selection, despite both types having late-acting deleterious effects.

Genetic drift, a random process that affects gene frequencies in populations, allows for the accumulation of late-acting deleterious mutations without regard to their fitness consequences. Since drift is not driven by selection, harmful mutations can persist and accumulate over time. In contrast, natural selection acts on antagonistic-pleiotropic alleles, favoring the ones with beneficial effects early in life, even if they have deleterious late-acting effects. This selective pressure promotes the accumulation of alleles that provide immediate fitness advantages but also carry later costs, as long as the overall benefits outweigh the drawbacks.

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Answer: All of these expressions have the same value because the answer will always be 20.

Each dividend is 20 times the divisor.

Each dividend is 10 times the dividend below it.

Each divisor is 10 times the divisor below it.

The quotient of each pair of numbers is therefore the same.

Check the picture below.

Answer:

Find the volume of this prism.

Answer:

x=9

Step-by-step explanation:

Angle C and Angle B are congruent, meaning they have the same measure

Set up your formula as

4x+14=50

4x=50-14

4x=36

x=36/4

x=9

Answer:

14 pi

Step-by-step explanation:

Here,

Area = 49 pi

Pi r ^2 = 49 pi

r^2 = 49

r = 7m

Now,

Circumference = 2 pi r

=2*pi *7

=14 pi

f(x) = x - 4

g(x) = 2x

We need to find g(f(-2)), which means

Find f(-2) at first by substitute x by -2 in f

f(-2) = (-2) - 4 = -2 - 4 = -6

Replace f(-2) by -6

Now we need to find g(-6)

Substitute x in g by -6

g(-6) = 2(-6) = -12

g(f(-2)) = -12

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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The probability that both bulbs fail the test is 1/9. This is because out of the twelve lights, three of them have already failed the test, leaving nine lights that passed.  

This is because out of the 12 lights tested, 3 have already failed and there is a 1 in 4 chance that the two bulbs selected at random will be the same two failed bulbs.

Since the bulbs are selected at random with replacement, the probability that both bulbs fail the test is 1/9, or 11.11%.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Answer:

Figure 1's area is 530.66 centimeters and figure two's is 1589.6250 centimeters

Hey there!

The answers are 706.5 and 1589.625

The formula for the area of a circle is \(\pi\)\(r^2\).

For the first circle, the radius is 15, so let's solve:

\(\pi (15^2)\)

\(\pi(225)\\3.14(225)\\\\706.5\)

The second circle has a diameter of 45, and the radius is half the diameter, so 45/2 = 22.5. Let's solve:

\(\pi (22.5^2)\\\pi (506.25)\\3.14(506.25)\\1589.625\)

Have a super awesome day!

Answer:

B

Step-by-step explanation:

I got it right on edge

The describes a prediction for the end behavior of the graph of f(x) is

∞, f(x) - ∞ and x- (-∞), f(x) - ∞.

The behaviour of the function graph at the "ends" of the x-axis is known as the end behaviour of a function, or f.

In other words, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches -∞), the end behavior of a function represents the trend of the graph.

We have,

the table as

x        -5    -4    -3    -2    -1    0    1     2    3

f(x)     14     6     0    -4    -6   -6   -3   0    6

If we look at the table then we can conclude for further values

x tends to ∞ then f(x) tends to ∞

and, when x tends to -∞ then f(x) tends to ∞.

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Answer:

Step-by-step explanation:

x   - first number

2x   - twice the first number

twice the first number exceeds the second number by 4 so:

2x-4   -the second number

y - the third number

the second number is equal to the sum of the first and third numbers:

2x-4 = x + y

x + y = 2x - 4

  -x        -x

y = x - 4       - the third number

the sum of three numbers:

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

The sum of three numbers is 12 so:

4x - 8 = 12

   +8       +8

  4x = 20

  ÷4    ÷4

   x = 5

2x-4 = 2•5 - 4 = 6

x-4 = 5 - 4 = 1

Check:

5+1 = 6

2•5 = 10,  10-4 = 6

To determine the average power of the given function \(v(t) = 2 - 4cos(6πt)sin(2πt)\), we can use the formula for average power in a periodic function.

The average power P_avg of a periodic function is given by the formula:

\(P_avg = (1/T) ∫[0 to T] (v(t))^2 dt\)

In this case, the function v(t) is periodic with a period T = 1/f, where f is the frequency of the function. To find the average power, we need to calculate the integral of the square of the function over one period and divide it by the period.

By evaluating the integral using appropriate techniques, we can obtain the numerical value of P_avg.

The average power represents the average amount of power delivered by the function over a given time period. It is useful in analyzing and comparing the power consumption or transmission of electrical signals or systems.

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Thirty six beetles.

Eighteen beetles out of 54 insects i.e.

\(54 - 18 = 36.\)

Answer:

1/3

Step-by-step explanation:

18 is 1/3 of 54 -> 18/54=0.333333 or 1/3

The correct answers from the given lists are given as follows: Relation (a) a is (strictly) older than bA. irreflexiveB. asymmetricC. antisymmetricD. reflexiveE. transitive Relation (b) a and b have a common grandparentA.

irreflexiveB. antisymmetricC. symmetricD. reflexiveE. transitiveRelation (c) a has the same first name as bA. transitiveB. irreflexiveC. antisymmetricD. symmetricE. reflexiveRelation (d) a and b were born on the same dayA. transitiveB. reflexiveC. irreflexiveD. antisymmetricE. symmetric.

The given lists include different types of relations. Let's discuss the given relations one by one.(a) a is (strictly) older than b:This relation is irreflexive because a person can't be older than oneself. This relation is asymmetric because if a is older than b then it can't be possible that b is older than a.

This relation is antisymmetric because if a is older than b and b is older than a, then it means that a and b are the same person which is not possible. This relation is not reflexive because there is no one who is older than oneself. This relation is transitive because if a is older than b and b is older than c then a is also older than c.(b) a and b have a common grandparent:This relation is irreflexive because a person can't have a common grandparent with oneself. This relation is antisymmetric because if a has a common grandparent with b then it can't be possible that b has a common grandparent with a. This relation is symmetric because if a has a common grandparent with b then b also has a common grandparent with a. This relation is not reflexive because there is no one who has a common grandparent with oneself. This relation is transitive because if a has a common grandparent with b and b has a common grandparent with c then a also has a common grandparent with c.(c) a has the same first name as b:

This relation is transitive because if a has the same first name as b and b has the same first name as c then a has the same first name as c. This relation is irreflexive because a person can't have the same name as oneself. This relation is antisymmetric because if a has the same name as b then it can't be possible that b has the same name as a. This relation is symmetric because if a has the same name as b then b also has the same name as a. This relation is not reflexive because there is no one who has the same name as oneself.

(d) a and b were born on the same day: This relation is transitive because if a was born on the same day as b and b was born on the same day as c then a was born on the same day as c. This relation is reflexive because every person is born on the same day as oneself. This relation is irreflexive because no person is born on a different day than oneself. This relation is antisymmetric because if a was born on the same day as b then it can't be possible that b was born on the same day as a. This relation is symmetric because if a was born on the same day as b then b was also born on the same day as a.

The correct answers for each given relation are listed above.

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The relationship between variable F and x is 2x + 12000000/x

Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.

Let F represent the length of fencing in feet.

Area of fencing = 6000000 ft²

Area of fencing = x * (y + y) = x * 2y

Area of fencing = 2xy

6000000=2xy

xy = 3000000

y = 3000000/x

The perimeter is:

F = x + y + y + x + y + y

F = 2x + 4y

F = 2x + 4(3000000/x)

F = 2x + 12000000/x

Therefore the relationship between variable F and x is 2x + 12000000/x

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Answer:

If the left side of the big rectangle is 2m then the right side should be the same. We have 4m

If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.

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The left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.

The top is 3m so the bottom should also be 3m we now have 10m

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If you add 10 + 22 you get 32. 32 is your answer :)

Step-by-step explanation:

Answer:

The best answer would be C

Step-by-step explanation:

The square has two parallel lines and the rhombus has parallel lines as well. And when you turn the square, it looks like a rhombus. They are both parallelograms and quadrilaterals.

Hope this helps

Answer:

He has enough to bake the cookies with 1 cup of flour left over.

Step-by-step explanation:

5.25 cups to start - 3.5 for the bread = 1.75 remaining

1.75 cups + 2 cups from neighbors = 3.75 cups

3.75 - 2.75 for cookies = 1 cup left over.

Answer:

$170

Step-by-step explanation:

30% of the money was equal to 51

so:

\( \frac{30}{100} = \frac{51}{x} \\ \\ x = \frac{5100}{30} = \frac{510}{3} = 170\)

I think it would be ef because they are across from each other.

Answer:

lineAF, CE, EF

Step-by-step explanation:

Every line except AB, because a line don't curve.

Hope u understood.

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Thank You

Answer:

Length = 100

Width = 50

Step-by-step explanation:

Given :

Length = 2 * width

If :

length = l

Width, w

l = 2w

Perimeter, P of rectangle :

P = 2(l + w)

P = 2(2w + w)

300 = 2(3w)

300 = 6w

w = 300/6

w = 50

l = 2w

l = 2(50)

l = 100

You first find the average of the first two test scores. When you find the average, you add the two numbers together and then divide by two which gives you 89. You then plug in different scores above the number 89 and find the average of those (89 and x) to see which gives you an average of 92. It’s mostly a guess and check type of problem.

Answer:

A

Step-by-step explanation:

Because it's subtracting 2 hours every day, the slope is -2. Also because it's 30 hours, it's 30. Therefore: A.) y=-2x+30 is the answer.

Hopes this Helps!