Who can help me with these two.?

Answer:

l=P over 2﹣w

Step-by-step explanation:

(3x+5)-(\(x^{2} - 3\))=9

\(x^{2}\)-3x-8=-9

\(x^{2}\)-3x=-1

\(x^{2}\)-3x+1=0

Answer:9a-2

Step-by-step explanation: see photo

We are going to use the following equation:

Where is the interest paid, P is the principal, r is the annual rate and t is the time in years.

So, the time in years can be calculated as:

Therefore, the annual rate r, can be calculated as:

Answer: 7.8%

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to reject the null hypothesis at a significant level of significance \(\alpha = 0.05\) There is sufficient evidence to conclude that at least one of the population mean  is different from  at least of the population  

Step-by-step explanation:

From the question we are told that the claim is

     The mean growth rates of all four species are equal.

The  null hypothesis is  

             \(H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4\)

Th alternative hypothesis is    

             \(H_a: at \ least \ one \ of \ the \ means \ is \not\ equal\)

From question the p-value is \(p-value = 0.015\)

  And since the \(p-value < \alpha\) so the null hypothesis will be rejected

So  

   The decision is to reject the null hypothesis at a significant level of significance \(\alpha = 0.05\) There is sufficient evidence to conclude that at least one of the population mean  is different from  at least of the population  

C=πd

r=21

d=42

C=132 ft, and D is your final answer. Hope it help!

Answer:

132

Step-by-step explanation:

D

Answer:

Step-by-step explanation:

10

Ws

The following information related to irrigation is as follows:

The gallons of irrigation water per square foot is \(326,700\ gallons\ per\ square\ foot\)

For determining the gallons of irrigation water we have to multiply the square foot by the number of gallons in a cubic foot.

Given that,

There are 43,560 square feet in an acre i.e. 1 acre = 43,560.

And, there are 7.5 gallons in a cubic foot i.e. 1 cubic foot = 7.5 gallons.

So, the gallons of irrigation water per square foot is

\(= 43,560 \times 7.5\ gallons \\\\= 326,700\ gallons\ per\ square\ foot\)

Therefore we can conclude that the gallons per square foot of irrigation water is \(326,700\ gallons\ per\ square\ foot\)

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Answer:

326,700 gallons

Step-by-step explanation:

1 acre = 43,560 square feet

1 acre-foot of irrigation is an acre irrigated 1 foot deep with water.

Since thee are approximately 7.5 gallons in 1 cubic foot,

1 acre-foot of irrigation = 43,560 * 7.5 gallons

1 acre-foot = 326,700 gallons

This is the number of gallons in one acre-foot, not gallons per square foot.

Answer:

Correct option is B)

252=

2×2

​

×

3×3

​

×7

The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.

Hence, the smallest number  by which 252 must be multiplied so that

the product is a perfect square is 7.

And, 252×7=

2×2

​

×

3×3

​

×

7×7

​

252×7

​

=

2×2

​

×

3×3

​

×

7×7

​

​

=2×3×7=42

Step-by-step explanation:

To find the smallest whole number by which 2268 should be multiplied to get a perfect square, we need to factorize 2268 into its prime factors. Then, we can determine which prime factors are needed to make the number a perfect square.

The prime factorization of 2268 is:

2268 = 2^2 * 3^2 * 7 * 9

To make it a perfect square, we need to include the missing factors. In this case, we are missing a factor of 2 and a factor of 3. Therefore, we need to multiply 2268 by 2 * 3 = 6.

2268 * 6 = 13608

Now, we have a perfect square number, 13608.

To find the square root of 13608, we can take the square root of each of its prime factors:

√(2^2 * 3^2 * 7 * 9)

= √2^2 * √3^2 * √7 * √9

= 2 * 3 * √7 * 3

= 6 * √7

So, the square root of the square number 13608 is 6√7.

Answer:

a. probability of 5/9
b. probability of 3/9

Step-by-step explanation:

All possible outcomes:

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9

All outcomes with an even number:

1 x 2 = 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 2 = 6

All outcomes with a number greater than 5

2 x 3 = 6
3 x 2 = 6
3 x 3 = 9

Answer:

$6

Step-by-step explanation:

50 x 1.08 = 54

60-54=6

Step-by-step explanation:

From the given gummi bear, the chance that Adam is selected for any draw is 1/3 as well as the chance he is not selected at any draw is 2/3.

a). The probability of Adam getting exactly three gummi bears = P(Adam gets selected at 3 draws and not selected at the remaining 9 draws)

= \($ (\frac{1}{3})^3 (\frac{2}{3})^9 = \frac{2^9}{3^{12}} $\)

Now, the 3 draws where Adam gets selected can be any 3 out of 12 draws in \($ {\overset{12}C}_3 $\) = 220

Thus, probability of Adam getting three gummi bears = \($ 220 \times \frac{2^9}{3^{12}} $\)

                                                                                                = 0.21186

b). Probability that Adam will get the three gummi bears given each person will received at the most 1 gummi bear

= P(of the remaining 9 draws after assigning one gummi bear to each one, Adam gets selected at 2 draws and not selected at 7 draws) = \($ {\overset{9}C}_2 (\frac{1}{3})^2 (\frac{2}{3})^7 $\)

                                                                                               = 0.23411

c). Let X = Number of the gummi bears which Adam will get. Then, X = number of draws out of 12 draws Adam gets selected and X ~ B(12, 1/3). So,  Adam will get gummi bears= mean of B(12, 1/3) = 12 x (1/3) = 4

d). Let Y = Number of the gummi bears that Adam will get, given each person will received at the most 1 gummi bear Then, Y = number of draws Adam gets selected in the remaining 9 draws and Y ~ B(9, 1/3). So, the expected number of bears that Adam gets given each person received at least 1 gummi bear

= 1 + mean of B(9, 1/3) = 4

e). When every one gets atleast one gummi bear, the new sample size will be 9 and so we can say that there is a reduction in variance.

Answer:

10x + 5

A is the correct answer

Step-by-step explanation:

a. The linear Equations :

3x + (x+42)= 90

⇒4x +42 =90

b. ∠ 1 = 36° and ∠2 =54°

Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the coordinate of this point.

here

4x+42 = 90 ⇒ x=12

∠1 =4 x 12=36 and ∠2 = 12+42=54

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Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).  

\(\$500\times4\%=\$20\)

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

The amount of time he spent on bicycle is 4.5 hours.

Given Jim began a 145 mile bicycle trip.

The whole trip took 7 hours.

Jim walks at a rate of 4 miles per hour  and rides at 30 miles per hour.

speed = distance / time

time = distance / speed

ride:

d = distance ridden

t = d/30 (given from the problem)

walk:

t = (145 - d)/4 (given from problem)

total trip time:

7 = d/30 + (145 - d)/4.

7 = 4d/120 + 30(145 - d)/120

7×120 = 4d + 30(145 - d)

840= 4d +4350-30d

840 ₋ 4350 = ₋30d ₊ 4d

₋3510 = ₋26d

d = 3510/26

d = 135

d=135 then from here using the formula t = d / s we can solve

t=135/30 = 4.5 hours

hence the amount of time Jim spent on the bicycle is 4.5 hours.

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to find the multiple-choice questions correct, we must multiply 9/10 by the total,so

so, she got 27 multiple-choice questions correct

To find the true/false questions correct, we must multiply 4/5 by the total,so

so, she got 8 tru/false questions correct

The possible fraction n is n = 5/8

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

The fraction is between 1/2 and 3/4.

This fraction is represented by n

So, we have

n is between 1/2 and 3/4.

The fractions 1/2 and 3/4 can be rewritten as

1/2 = 4/8

3/4 = 6/8

This means that

n is between 4/8 and 6/8

The number 5 is between 4 and 6

So, we have

5/8 is between 4/8 and 6/8

This means that

n = 5/8

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The equation of the line that is perpendicular to the line passing through (-4,4) and (4,-2) and has an x-intercept of 6 is: y = (4/3)x - 8.

What is slope  ?

Slope is a measure of the steepness or slant of a line. It is defined as the ratio of the vertical change between two points on a line to the horizontal change between those same two points. In other words, slope is the change in y divided by the change in x.

The slope of a line can be positive, negative, zero, or undefined. A positive slope means that the line is rising from left to right, while a negative slope means that the line is falling from left to right. A slope of zero means that the line is horizontal, while an undefined slope means that the line is vertical.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

According to the question:
First, we need to find the slope of the line passing through (-4,4) and (4,-2) using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-4,4) and (x2, y2) = (4,-2)

slope = (-2 - 4) / (4 - (-4)) = -6/8 = -3/4

The equation of a line perpendicular to this line will have a slope that is the negative reciprocal of the slope of the given line. That is,

slope of perpendicular line = -1 / (-3/4) = 4/3

Now we can use the slope-intercept form of a line to find the equation of the line with slope 4/3 that passes through the point (6,0), which is the x-intercept given in the question:

y = mx + b, where m is the slope and b is the y-intercept

Plugging in m = 4/3 and the point (6,0), we get:

0 = (4/3)(6) + b

b = -8

Therefore, the equation of the line that is perpendicular to the line passing through (-4,4) and (4,-2) and has an x-intercept of 6 is:

y = (4/3)x - 8

So the answer is: y = (4/3)x - 8.

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If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.

Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:

3/8 gallons of white paint = 6 gallons of light green

We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as

9/16 gallons of white paint = x

Divide both expressions

3/8 x 16/9 = 6/x

2/3 = 6/x

By cross multiplying

2x = 3 x 6

2x = 18

x = 18/2

x = 9

This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

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Answer:

-2x+10

Step-by-step explanation:

f(x)=5x+8

g(x)=7x-2

(f-g)(x)= 5x+8-7x+2= -2x+10

Answer:

x≅101.5

Step-by-step explanation:

(88×cot60° + x)tan 30°=88

(88/√3 + x)1/√3 = 88

88/3 + x/√3= 88

x/√3=176/3

x= 176×1.73/3

x= 101.49

x≅101.5

the value of x will be 101.61 units.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given two right-angle triangles with the same height of 88 units

Let the adjacent side of a triangle with a leg angle of 60 be "h"

From the general formula of a tangent:

Tan A = opposite side/ adjacent side

For the triangle with a leg angle of 60

tan 60 = 88/h

√3 = 88/h

h = 88/√3

For the triangle with a leg angle of 30

tan 30  = 88/(x +h)

1/ √3 = 88(x + h)

x +h = 88 * √3

x = 88*√3 - 88/√3

x = 101.613

therefore, the value of x will be 101.61 units.

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Answer:

y <= (2/5)x - 3/2

Step-by-step explanation:

y-intercept is -3/2

slope = 2/5

shading is below the line

Answer: y <= (2/5)x - 3/2

Answer:

$31.50

Step-by-step explanation:

To find the answer, you would divide.

$1,260 / 40 = 31.50

The answer is $31.50, hope this helps

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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The area of triangle YCX is given as follows:

G. 2 units squared.

The area of square WXYZ is 16, hence the side length is given as follows:

s² = 16

s = 4.

Considering the midpoints, we have that the sides of the right triangle are given as follows:

YC = CX = 4/2 = 2

Hence the area of the triangle is given as follows:

0.5 x 2 x 2 = 2 units squared.

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The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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