Some pls me question in picture

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Answer:

1/3

Step-by-step explanation:

Answer:

Since you have no idea what the right answer is, each choice has a probability of 1/4 of being correct. Let X be the number of points you get.

If you answer correctly, X = 1 with probability 1/4.

If you answer incorrectly, X = -1/3 with probability 3/4.

Thus, the expected value of X is:

E(X) = (1/4)×1 + (3/4)×(-1/3)

E(X) = 1/4 - 1/4

E(X) = 0

Therefore, the expected value of the number of points you get is 0.

Step-by-step explanation:

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Answer:

5/1÷3 is = to 5/3

Step-by-step explanation:

I hope this helps

Answer:

  2 ft·lb

Step-by-step explanation:

You want the work done on a particle moving it from 0 to 9 ft using a force that is 8/(3+x)² pounds at each point.

The incremental work is the product of the force and the incremental distance:

  dW = 8/(3+x)²·dx

The work done over the distance of interest is the integral of this incremental work over that distance.

 [tex]\displaystyle W=\int_0^9{\dfrac{8}{(x+3)^2}}\,dx=(-8(x+3)^{-1})_0^9=-8\left(\dfrac{1}{12}-\dfrac{1}{3}\right)=2[/tex]

The work done on the particle is 2 ft·lb.

The 43-inch TV will fit in Susan's entertainment center.

To determine if the 43-inch TV will fit in Susan's entertainment center, we need to make sure that the height, width, and diagonal of the TV are all smaller than or equal to the corresponding measurements of the entertainment center.

Since the entertainment center has a height of 19.87 inches, the 43-inch TV will fit in terms of height if its height is 19.87 inches or smaller.

Similarly, since the entertainment center has a length of 42 inches, the 43-inch TV will fit in terms of length if its length is 42 inches or smaller. Since the length of the TV is 37.41 inches, it will fit.

Finally, we need to check the diagonal. The diagonal of a rectangle can be found using the Pythagorean theorem. If we let a be the height and b be the length, then the diagonal d is given by:

d = sqrt(a² + b²)

For the entertainment center, this gives a diagonal of approximately 45.53 inches. Since the diagonal of the TV is 43 inches, it will also fit.

Therefore, the 43-inch TV will fit in Susan's entertainment center.

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The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

From the question, we have the following parameters that can be used in our computation:

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

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The points on the equations intersect at (-7, 4)

From the question, we have the following parameters that can be used in our computation:

3x + 7y = 7

5x − 7y = −63

The above equations is an illustration of a system of equations

Next, we plot the graph using a graphing tool

The graph is added as an attachment, where the point of intersection is (-7, 4)

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A. rolling a 1,3,4,5,6

B. The probability of the complement event is 5/6.

An experiment's probability of an event occurring is measured by its probability of occurring. When there are only two outcomes, or complement, we can say that it is the complete opposite of an event.

11(A ) Rolling any number other than 2 on the number cube is the complement of rolling a 2. Therefore, the complement's outcomes are as follows: rolling a one, a three, a four, a five, and a six

So, the correct answers are:

☐ rolling a 1

☐ rolling a 3

☐ rolling a 4

☐ rolling a 5

☐ rolling a 6

11B) Since there is only one favorable outcome (rolling a 2) out of six possible outcomes, the probability of rolling a 2 is 1/6. By deducting the probability of rolling a 2 from 1, the probability of the complement event (rolling any number other than 2) can be determined:

P(complement) = 1 - P(rolling a 2) = 1 - 1/6 = 5/6

Therefore, the probability of the complement event is 5/6.

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The arc DEB is major arc.

The arcs, arc EA, arc CB, arc DC and arc AB are minor arcs.

The arc CDA is semicircle.

An arc which has a measure of less than 180° is called minor arc.

An arc whose measure is more than 180° is major arc.

Measure of arc EA = 180° - (30° + 100°) = 50°

[Since AC is a diameter CD + DE + EA = 180°]

Measure of arc CB = 50°

Measure of arc DC = 100°

Measure of arc DEB = 360° - (100° + 50°) = 210°

[ Whole circle = 360°]

Measure of arc AB = DEB - (DE + EA) = 210° - (30° + 50°) = 130°

Measure of arc CDA = 180° [Since AC is a diameter.]

Hence the Major arcs are arc DEB, minor arcs are arc EA, arc CB, arc DC and arc AB. Semicircle is arc CDA.

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The figure is given below.

Answer: 2,635,799,463,387 pounds

Step-by-step explanation:

The surface area of solid B is 3,750 square meters.

Since the solids are similar with a scale factor k from solid A to solid B, the ratio of their surface areas is k². Therefore, the surface area of solid B is:

Surface area of solid B = Surface area of solid A * k²

Substituting the given values, we get:

Surface area of solid B = 72 * 12²

Surface area of solid B = 10368 square centimeters.

Therefore, the surface area of solid B is 10,368 square centimeters.

Following the same approach as above:

Surface area of solid B = Surface area of solid A * k²

Substituting the given values:

Surface area of solid B = 150 * 5²

Surface area of solid B = 3750 square meters

Therefore, the surface area of solid B is 3,750 square meters.

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The minimum amount of wrapping paper Sarah will need to cover the present is; 351.68 square inches and one gallon of filtered water is not enough because the capacity of fish tank will be 2.17 gallons.

WE are Given that, the dimensions of cylindrical fish tank are height=10 inches and radius = 8/2 = 4 inches.

Now the total surface area of a cylinder is 2πr(r + h).

Here, the required wrapping paper = 2×3.14 ×4(4+10)

= 2×3.14×4×14

= 351.68 square inches

We know that, the volume of cylinder = πr²h

= 3.14 × 4² × 10

= 502.4 cubic inches

Thus, 1 gallon is equal to 231 cubic inches

Number of gallons of filtered water required = 502.4/231

= 2.17 gallons

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The direction and the angle of rotation if polygon ABCD is rotated to get polygon A′B′C′D′ is 270° counterclockwise rotation.

Given are graphs of polygon ABCD and A′B′C′D′.

The points of ABCD are,

A(-7, 5), B(-2, 8), C(-2, 4) and D(-4, 3).

The points of A′B′C′D′ are,

A'(5, 7), B'(8, 2), C'(4, 2) and D'(3, 4).

A point (x, y) is changed to the point (y, -x).

This transformation is done if the angle of rotation is 270 degrees counterclockwise or 90 degrees clockwise.

Hence the correct option is 270° counterclockwise rotation.

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The inequality x<4 matches the graph

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

As we observe the graph , it starts at 4 which has a dot which is open and the direction of arrow is left side

The left direct indicates that it is decreasing and open dot indicates the number 4 is not included.

So the inequality x<4 matches the graph

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The exact values of θ are θ = π/6 and θ = 11π/6.

Given that;

The expression is,

⇒ 8 cos² θ + 2 = 8

Now, We ca simplify as;

⇒ 8 cos² θ + 2 = 8

Subtracting 2 from both sides:

8cos² θ = 6

Then we divide both sides by 8:

cos² θ = 3/4

Taking the square root of both sides, we get:

cos θ = ±√(3/4)

cos θ = ±(√3)/2

Since 0 ≤ θ < 2π,

And, we know that θ is in either the first or the fourth quadrant.

Hence, In the first quadrant, cos θ is positive, and in the fourth quadrant, cos θ is negative.

Therefore, we can eliminate the negative solution and conclude that:

cos θ = (√3)/2

Using the inverse cosine function, we find:

θ = π/6 or 11π/6

So, the exact values of θ are θ = π/6 and θ = 11π/6.

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The result, when rounded to two decimal places, is 23.87%.

In algebra, a decimals is one of the number types that has a full integer and a fractional component divided by a point that is decimal. 34.5 is an illustration of a decimal number.

The formula A = Ao * (1/2)(t/30) can be used to determine how much cesium-137 is still present after t years, where Ao is the initial amount and t is the amount of time in years.

After simplifying and replacing t=37, we obtain:

A = Ao * (1/2)^(37/30)

A = Ao * (1/2)^(37/30)

After 37 years, there is a proportion of cesium-137 left, which is:

% is equal to (A/Ao) * 100 = (Ao * (1/2)(37/30)/Ao) * 100 = (1/2)(37/30) * 100.

Calculating (1/2)(37/30) yields the result: (1/2)(37/30) 0.2387

Consequently, the percentage of cesium-137 still present in the area now is about equal to: percentage 0.2387 * 100 23.87%

The result, when rounded to two decimal places, is 23.87%.

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About 21.44% of cesium-137 is still near the disaster site today.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

The amount of cesium-137 present near the disaster site at the time of the explosion is Ao.

The half-life of cesium-137 is 30 years. This means that after 30 years, half of the initial amount will have decayed, leaving us with 1/2 of the initial amount. After another 30 years, half of the remaining amount will have decayed, leaving us with 1/4 of the initial amount.

Since it is almost 37 years since the Chernobyl disaster, we can calculate the percentage of cesium-137 that is still near the disaster site today as follows:

Amount of cesium-137 present today = Ao * (1/2)^(37/30)

Percentage of cesium-137 present today = (Amount of cesium-137 present today / Ao) * 100

= (Ao * [tex](1/2)^{(37/30)}[/tex] / Ao) * 100

= [tex](1/2)^{(37/30)}[/tex]) * 100

= [tex](1/2)^{(37/30)}[/tex]) * 100%

≈ 21.44%

Therefore, about 21.44% of cesium-137 is still near the disaster site today.

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Answer:

Step-by-step explanation:

Since there are 16 tablespoons in 1 cup, we can convert the original 3 tablespoons of seasoning to cups by dividing by 16:

3 tablespoons / 16 = 0.1875 cups

After Ricky doubles the amount of seasoning, he will have:

2 * 3 tablespoons = 6 tablespoons

Converting to cups:

6 tablespoons / 16 = 0.375 cups

Therefore, the ratio of cups to tablespoons of seasoning after Ricky doubles the amount is:

0.375 cups / 1 tablespoon = 0.375 : 1

Answer: The ratio of cups to tablespoons of seasoning after Ricky doubles the amount is 0.375 : 1

If 453 teenagers were surveyed, the number of teenagers who would receive a weekly allowance is approximately 263.

Given that,

According to a survey,

Percent of teenagers who will receive a weekly allowance for doing household chores = 58%

So, if the number of teenagers surveyed is 453,

Number of teenagers who will receive a weekly allowance for doing household chores = 58% × 453

                              = (58/100) × 453

                              = 0.58 × 453

                              = 262.74 ≈ 263

Hence the number of teenagers who will receive a weekly allowance for doing household chores is approximately 263.

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The quintic equation has integer coefficients for x = - 5 / 3.

In this question we need to determine the missing coefficients of a quintic equations, that is, a polynomial of grade 5, on the basis that the coefficients are integers.

First, we evaluate on each case:

x = - 5 / 3

12 · (- 5 / 3)⁵ + a · (- 5 / 3)³ + b · (- 5 / 3)² - 3 · (- 5 / 3) + 15 = 0

- 12500 / 81 - (125 / 27) · a + (25 / 9) · b + 5 + 15 = 0

- (125 / 27) · a + (25 / 9) · b = 10880 / 81

- (5 / 3) · a + b = 2176 / 45

b = (5 / 3) · a + 2176 / 45

x = - 4 / 3

12 · (- 4 / 3)⁵ + a · (- 4 / 3)³ + b · (- 4 / 3)² - 3 · (- 4 / 3) + 15 = 0

- 4096 / 81 - (64 / 27) · a + (16 / 9) · b + 4 + 15 = 0

- (64 / 27) · a + (16 / 9) · b = 2557 / 81

- (4 / 3) · a + b = 2557 / 144

b = (4 / 3) · a + 2557 / 144

x = 3 / 5

12 · (3 / 5)⁵ + a · (3 / 5)³ + b · (3 / 5)² - 3 · (3 / 5) + 15 = 0

2916 / 3125 + (27 / 125) · a + (9 / 25) · b - 9 / 5 + 15 = 0

(27 / 125) · a + (9 / 25) · b - 2709 / 3125 + 46875 / 3125 = 0

(27 / 125) · a + (9 / 25) · b + 44166 / 3125 = 0

(27 / 125) · a + (9 / 25) · b = - 44166 / 3125

(3 / 5) · a + b = - 14722 / 375

b = - (3 / 5) · a - 14722 / 375

x = 6 / 5

12 · (6 / 5)⁵ + a · (6 / 5)³ + b · (6 / 5)² - 3 · (6 / 5) + 15 = 0

12 · (7776 / 3125) + (216 / 125) · a + (36 / 25) · b - 18 / 5 + 15 = 0

93312 / 3125 + (216 / 125) · a + (36 / 25) · b - 18 / 5 + 15 = 0

82062 / 3125 + (216 / 125) · a + (36 / 25) · b + 15 = 0

(216 / 125) · a + (36 / 25) · b = - 128937 / 3125

(6 / 5) · a + b = - 3223425 / 112500

(6 / 5) · a + b = - 644685 / 22500

(6 / 5) · a + b = - 128937 / 4500

b = - (6 / 5) · a - 128937 / 4500

After using a graphing tool, we conclude that x = - 5 / 3 can be found by using the following integers:

(a₁, b₁) = (19, 80), (a₂, b₂) = (31, 100), (a₃, b₃) = (79, 180)

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Keith's subsidized monthly payment upon graduation would be approximately $135.65.

Keith took out a student loan for $14,342 with an annual interest rate of 2.7%. He had 5 years left in college before he began repaying the loan. To find his subsidized monthly payment, we need to first calculate the total amount he owes after 5 years and then divide that by the number of months in the repayment period.

1. Convert the annual interest rate to a decimal: 2.7% ÷ 100 = 0.027
2. Calculate the interest for one year: $14,342 × 0.027 = $387.234
3. Calculate the total interest for 5 years: $387.234 × 5 = $1,936.17
4. Add the interest to the principal amount: $14,342 + $1,936.17 = $16,278.17
5. Assume a standard repayment period of 10 years (120 months) after graduation.
6. Divide the total amount owed by the number of months in the repayment period: $16,278.17 ÷ 120 = $135.65

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The value of the missing side is 23. 5. Option A

To determine the value of the missing length, we have to note that the trigonometric identities are;

Using the cosine identity, we have;

cos θ = adjacent/hypotenuse

Substitute the values, we get;

cos36 = 19/x

Cross multiply the values

x = 19/cos 36

Divide the values

x =19/0. 8090

x = 23. 5

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Answer:Percent distribution is:Apple: 25%

Cherry: 30%

Chocolate Cream: 15%

Pecan: 17.5%

Peach: 12.5%

Step-by-step explanation:

Given,

Appple=20  

Cherry=24

Chochlate cream=12

Pecan=14

Peach=10

Step 1: To find the total number of pie slices=

20  + 24  + 12 + 14 + 10  = 80

Step 2: Calculate the percentage for each type of pie slice.

Divide the number of pie slices for each type by the total number of pie slices, and then multiply by 100 to get the percentage.

For apple pie slices:

20  / 80  = 0.25 or 25%

For cherry pie slices:

24 / 80  = 0.3 or 30%

For chocolate cream pie slices:

12 / 80  = 0.15 or 15%

For pecan pie slices:

14  / 80 = 0.175 or 17.5%

For peach pie slices:

10  / 80 = 0.125 or 12.5%

So, the percent distribution is:

Apple: 25%

Cherry: 30%

Chocolate Cream: 15%

Pecan: 17.5%

Peach: 12.5%

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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Step-by-step explanation:

the fourth one

...

.

.

...

..

Answer:

O.D) The broken plate, the creaming children, and the boiling tea kettle.

The chemist will need 273 ml of compound A to make 728 ml of the drug.

It is given that 8 parts of drug are made by using 2 parts of compound A and 5 parts of compound B.

So the proportion (ml of compound A)/(ml of drug) = 3/8

Suppose the chemist needs x ml of compound A to make 728 ml of the drug.

So we have, [tex]\frac{x}{728} = \frac{3} {8}[/tex]

So , [tex]x = \frac{(728)(3)}{8} = 273\,\,ml.[/tex]

How do we solve ratio and proportion questions.

How do we solve ratio and proportion questions.Consider this question?

Suppose every project team will have equal no of boys and girls. Suppose a particular team will have 10 members. How many boys will be in this team. To answer this question we find the the key proportionality or ratio in the problem. it is #boys/#girls = 1/1. So #boys/#team members = 1/(1+1)=1/2. So if the team size is 10. then #boys = (1/2)(10) = 5. This is the way we solve problems in ratio and proportion.

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Step-by-step explanation:

To solve for the zeros of a quadratic function, we need to find the values of x where f(x) equals zero. This means that we need to set the quadratic function equal to zero and solve for x.

In this case, our quadratic function is f(x) = 9x² + 6x + 1. To set it equal to zero, we write:

9x² + 6x + 1 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± √b² - 4ac) / 2a

In this equation, a, b, and c are the coefficients of the quadratic function. In our case, a = 9, b = 6, and c = 1. Substituting these values into the equation, we get:

x = (-6 ± √36 - 4(9)(1)) / 2(9)

Simplifying, we get:

x = (-6 ± √0) / 18

Since the square root of 0 is 0, we have:

x = -6/18 and x = -6/18

Reducing the fractions, we get:

x = -1/3 and x = -1/3

Therefore, the zeros of the quadratic function f(x) = 9x² + 6x + 1 are x = -1/3 and x = -1/3.

The new coordinates of the quadrilateral STUV after a 270-degree rotation about the origin are STUV' = (S', T', U', V') = [(-y₁, x₁), (-y₂, x₂), (-y₃, x₃), (-y₄, x₄)]

To find the new coordinates of the quadrilateral STUV after a 270-degree rotation about the origin, we can apply the rotation matrix formula.

The rotation matrix for a 270-degree rotation is:

R = [ cos(270) -sin(270) ]

[ sin(270) cos(270) ]

which simplifies to:

R = [ 0 -1 ]

[ 1 0 ]

We can then multiply this matrix by each of the four vertices of the quadrilateral in order to obtain their new coordinates. Let the original coordinates of the vertices be:

S = (x₁, y₁)

T = (x₂, y₂)

U = (x₃, y₃)

V = (x₄, y₄)

Then the new coordinates of the vertices after the 270-degree rotation about the origin are:

S' = RS = (0x₁ - y₁, 1x₁ + 0y₁) = (-y₁, x₁)

T' = RT = (0x₂ - y₂, 1x₂ + 0y₂) = (-y₂, x₂)

U' = RU = (0x₃ - y₃, 1x₃ + 0y₃) = (-y₃, x₃)

V' = RV = (0x₄ - y₄, 1x₄ + 0y₄) = (-y₄, x₄)

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Answer:

25%

Step-by-step explanation:

[tex]\frac{45}{180}[/tex]  x 100%

.25 x 100% = 25%

Helping in the name of Jesus.

Answer:

To write an exponential regression equation for this set of data, we can use the formula y = ab^x, where y is the value of the car in dollars, x is the number of years since purchase, a is the initial value of the car, and b is the rate of depreciation.

To find the values of a and b, we can use the first two data points:

y = ab^x

14220 = ab^1

Solving for a, we get:

a = 14220 / b

Now, we can substitute this expression for a into the first data point:

y = ab^x

15700 = (14220 / b) * b^0

Simplifying, we get:

15700 = 14220

This is not a valid equation, so we need to adjust our estimate for the rate of depreciation, b. One way to do this is to take the average of the depreciation rates between each pair of consecutive data points:

b = (14220/15700)^(1/6)

b = 0.9497

Now, we can use this value of b to find the value of a:

a = 14220 / b

a = 14955.15

Therefore, the exponential regression equation for this set of data is:

y = 14955.15 * 0.9497^x

To find the value of the car after 9 years, we can substitute x = 9 into the equation:

y = 14955.15 * 0.9497^9

y = 7327.78

Therefore, the value of the car, to the nearest cent, after 9 years is $7327.78.