Find f(-3) if f(x)=X+ 2x - 1​

\(\dfrac{10} 7 + \dfrac 2{20} +7 - 4\\\\\\=\dfrac{20(10)+7(2)}{140}+3\\\\\\=\dfrac{200+14+140(3)}{140}\\\\\\=\dfrac{634}{140}\\\\\\=\dfrac{317}{70}\)

Answer:

48 / 4 = 12

use long division

       1 2

   4|48

     4 can fit into 4,  1 time

     4 can fit into 8,  2 times so you get 12

_______________________________

54 / 6 = 9

count how many times 6 goes into 54 witch is 9

_____________________________________________

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Answer:

perimeter: 29 cm

Area: 49.5 cm^2

Step-by-step explanation:

perimeter is 9.5 + 6 + 7 + 6.5 = 29

Area: 7 * 6 = 42

9.5 - 7 = 2.5

2.5 * 6 = 15

15/2 = 7.5

42 + 7.5 = 49.5

Answer:

10 x 3 + x 2 -7 x

Step-by-step explanation:

Answer: 10x^3

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Step 1: Define

7x² - 3x - 6

x = 3

Step 2: Substitute and Evaluate

7(3)² - 3(3) - 6

7(9) - 9 - 6

63 - 15

48

Answer: 48

Step-by-step explanation: Plug in all x for 3

7(3)^2 Do exponent first then multiply. This equals 63

3x3 is 9

Then there is -6

63-9-6

This equals 48

Answer:

28° because this is an isosceles triangle, and isosceles triangles have congruent base angles.

Answer:

A or 28

Step-by-step explanation:

Cause if both of the sides is 6, than that means that its equal. So 28 on one side and 28 on the other.

Answer:

1 cup

Step-by-step explanation:

The blank described in the statement is a pyramid. It has a regular polygon base and a vertex located directly over the center of the base.

In geometry, a pyramid is a three-dimensional shape with a polygonal base and triangular faces that converge at a single point called the vertex or apex. In this case, the base of the pyramid is described as a regular polygon, meaning that all of its sides and angles are equal.

The vertex of the pyramid is positioned directly over the center of the base. This means that the apex is located vertically above the centroid of the base polygon. The centroid is the geometric center of a polygon, determined by the average of its vertices' coordinates.

Pyramids are a common geometric shape and have various applications in architecture, mathematics, and engineering. They can be found in structures such as ancient Egyptian pyramids, as well as in everyday objects like roof structures, tent tops, and certain buildings' architectural designs.

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The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4)  *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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Answer:

a

Step-by-step explanation:

The probability that their first child will have kidney disease is 1/8.

What is probability?

The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.

Here, we have

Both parents must be heterozygous to have a 1/4 chance of having an

affected child. Parent 2 is heterozygous (her father was homozygous recessive, but she has unaffected).

For the child to have the disease, both Parent 1 and Parent 2 would need to be heterozygous

There is a 50% chance of this for Parent 1 and a 100% chance of this for Parent 2 and then, there is a 25% chance that their first child will be affected:

50%× 100% × 25% = 12.5%

1/2 × 1/4 = 1/8

Hence, the probability that their first child will have kidney disease is 1/8.

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Answer:

6x - 15

Step-by-step explanation:

3(2x - 5)

Distribute

3*2x - 3*5

6x - 15

1. The maximum height of the ball is 400 feet.                                              2. It takes 9 seconds until the ball hits the ground.

To find the maximum height of the ball, we need to determine the vertex of the quadratic function h(t) = -16t² + 128t + 144. The vertex can be found using the formula t = -b / (2a), where a, b, and c are the coefficients of the quadratic function in the standard form (ax² + bx + c).

In this case, the quadratic function is h(t) = -16t² + 128t + 144, where a = -16 and b = 128. Plugging these values into the formula, we have:

t = -b / (2a)

t = -128 / (2 * -16)

t = -128 / -32

t = 4

Therefore, the ball reaches its maximum height at t = 4 seconds.

To find the maximum height, we substitute t = 4 into the quadratic function h(t):

h(4) = -16(4)² + 128(4) + 144

h(4) = -16(16) + 512 + 144

h(4) = -256 + 512 + 144

h(4) = 400

Hence, the maximum height of the ball is 400 feet.

To determine the time it takes for the ball to hit the ground, we need to find the value of t when h(t) = 0 since the height is measured from the ground level.

Setting h(t) = 0 in the quadratic equation:

-16t² + 128t + 144 = 0

We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values a = -16, b = 128, and c = 144, we have:

t = (-128 ± √(128² - 4(-16)(144))) / (2(-16))

t = (-128 ± √(16384 + 9216)) / (-32)

t = (-128 ± √(25600)) / (-32)

t = (-128 ± 160) / (-32)

Simplifying further:

t1 = (-128 + 160) / (-32)

t1 = 32 / (-32)

t1 = -1

t2 = (-128 - 160) / (-32)

t2 = -288 / (-32)

t2 = 9

The positive solution, t2 = 9 seconds, represents the time it takes for the ball to hit the ground.

Therefore, the ball takes 9 seconds to hit the ground.

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Answer:

224 more flowers

Step-by-step explanation:

If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.

Find what 12 times the number of shrubs is:

24(12)

= 288

So, the planner will need 288 flowers in total.

Find how many more he needs to plant by subtracting the current amount of flowers from 288:

288 - 64

= 224

So, the garden planner will need 224 more flowers.

We have to calculate the area of the table:

Area of a circle:

π x radius^2

Give

Answer:

1. x=0

2. m=5

3. x=8

4. x=-8

5. x=49

6. x=-133

Step-by-step explanation:

1. 9x=0

2. -20=-4m, 20=4m

3. 2x=16

4. x/8=-1, x=-1x8

5. x/7=7

6. After simplifying: −1/19(x)=7

Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!

Step-by-step explanation:

Radius = 4 cm  then diameter = 8 cm

 circumference = pi * diameter = 8 pi = ~ 25.12 cm

Answer:

92 over 100

Step-by-step explanation:

The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.

In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:

3.3 = log(I/0.001)

To isolate I, we need to convert the equation into exponential form:

10^(3.3) = I/0.001

Simplifying the equation, we have:

I = 10^(3.3) * 0.001

Using a calculator, we find that 10^(3.3) is approximately 1995.26.

So, the seismograph reading of the earthquake is:

I = 1995.26 * 0.001

≈ 1.99526.

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Answer:

Step-by-step explanation:

000111

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×1 + 2⁰×1 = 7

000111 = 7

000100

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×0 + 2⁰×0 = 4

000100 = 4

001100

2⁵×0 + 2⁴×0 + 2³×1 + 2²×1 + 2¹×0 + 2⁰×0 = 12

001100 = 12

111001

2⁵×1 + 2⁴×1 + 2³×1 + 2²×0 + 2¹×0 + 2⁰×1 = 57

111001 = 57

I hope I've helped you.

Step-by-step explanation:

the "solution" of a system of 2 functions is the point (or points), where both curves intersect.

the closest grid point (with integer coordinates) is x = 1. y = 7.

so, the answer is

B. (1, 7)

Step-by-step explanation:

again option D x = 10, y= 3

is the correct answer of this question.

plz mark my answer as brainlist.if you find it useful.

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Answer:

x = 10

y = 7

Step-by-step explanation:

4x-2 = x+28

4x-x = 28+2

3x = 30

x = 30÷3

x = 10

4y-7 = y+14

4y-y = 14+7

3y = 21

y = 21÷3

y = 7

Answer:

5.4

Step-by-step explanation:

since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4

The predicted area  of the circle when time is 4 seconds is; 49.72cm²

In statistics, If the data shows a leaner relationship existing between two variables, the line that best fits such a linear relationship is referred to as a least-squares regression line. This line minimizes the vertical distance that exists from the data points to the regression line.

Now, we are given that the equation of least-squares regression line is;

Log(Area) = 0.490 + 2.004 Log(Time)

Now, we want to find the predicted area when time is 4 seconds. Thus;

Log(Area) = 0.490 + 2.004 Log(4)

Log(Area) = 0.490 + 1.2065

Log(Area) = 1.6965

Area = 10^(1.6965)

Area = 49.72 cm²

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

the answer

Step-by-step explanation:

Answer:

K?

Step-by-step explanation:

The answer of the answer is the answer.

Hope this helped :D

Answer:

12

Step-by-step explanation:

just substitute the value in the equation

The answers are:

(a) Yes
(b) 0.17
(c) 0.172
(d) 0.541

(a) Is this a legitimate finite probability model?
Yes

(b) What is the probability that the person chosen is a 15- to 19-year-old who lives with others (not a spouse)?
The probability is 0.17.

(c) What is the probability that the person is 15 to 19 years old?
To find this probability, add the probabilities of all living situations for the 15-19 age group:
0.001 (Alone) + 0.001 (With spouse) + 0.17 (With others, not a spouse) = 0.172

(d) What is the probability that the person chosen lives with others (not a spouse)?
To find this probability, add the probabilities of living with others (not a spouse) for all age groups:
0.17 (15-19) + 0.131 (20-24) + 0.145 (25-34) + 0.095 (35-44) = 0.541

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The margin of error of the 98.4% confidence interval for snapdragons  is 3.71.

The midpoint of the range is calculated by adding the upper and lower bounds and then dividing by two. So, the sample mean is `(20.91 + 38.43) / 2 = 29.67`.

The margin of error is calculated by multiplying the critical value of z* (1.96 for a 98.4% confidence level) by the standard error of the mean. The formula for calculating the margin of error is:

`Margin of error z*(standard deviation/√n`).

The formula is `range/4 = 1.96 * standard deviation/√n`.Now, solve for the standard deviation:

`standard deviation = (range/4) * √n / 1.96`

Substituting the values: `(38.43 - 20.91)/4 = 1.96 * standard deviation/√n`

Simplifying the equation: `4.26 = (1.96*standard deviation)/√n`

Squaring both sides: `4.26^2 = 3.8416 = (1.96^2 * standard deviation^2)/n`

Substituting the value of the standard deviation: `3.8416 = (1.96^2 * ((38.43 - 20.91)/4)^2) / n`

Solving for n: `n = ((1.96^2 * ((38.43 - 20.91)/4)^2) / 3.8416) = 31.54`

Now that we know the sample size, we can calculate the standard error of the mean:

`standard error = standard deviation/√n = ((38.43 - 20.91)/4)/√31.54 = 1.89`.

The margin of error is `1.96 * 1.89 = 3.71`.

The 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). The margin of error of this confidence interval is 3.71.

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