Solve each question.
(image attached)

(19 POINTS)

Root 16=4 and root 49=7

Therefore,4 and 7 are rational as they have terminating decimal expansion.

Therefore,4+7=11 (rational)

[tex] \sqrt{16} + \sqrt{49} = \boxed{11}[/tex]

Answer:

p=1                                  p = -5/3

Step-by-step explanation:

1-|3p+1|=-3

Subtract 1 from each side

1-|3p+1| -1=-3-1

-|3p+1|=-4

Divide by -1

|3p+1|=4

The absolute value has two solutions one positive and one negative

3p+1 = 4            3p+1 = -4

Subtract 1 from each side

3p+1-1 = 4-1            3p+1-1 = -4-1

3p = 3                         3p = -5

Divide by 3

3p/3 = 3/3                    3p/3 = -5/3

p=1                                  p = -5/3

Answer:

p=-5/3,1

Step-by-step explanation:

Subtract 11 from both sides.

-|3p+1|=-3-1

−∣3p+1∣=−3−1

2 Simplify  -3-1−3−1  to  -4−4.

-|3p+1|=-4

−∣3p+1∣=−4

3 Multiply both sides by -1−1.

|3p+1|=4

∣3p+1∣=4

4 Break down the problem into these 2 equations.

3p+1=4

3p+1=4

-(3p+1)=4

−(3p+1)=4

5 Solve the 1st equation: 3p+1=43p+1=4.

p=1

p=1

6 Solve the 2nd equation: -(3p+1)=4−(3p+1)=4.

p=-\frac{5}{3}

p=−  

3

5

​

7 Collect all solutions.

p=-\frac{5}{3},1

p=−  

3

5

​

,1

Answer:

Part A:

The ratios in the table are equivalent.

The two quantities in this table represent a proportional relationship.

The graph of the relationship would be straight line through origin

Step-by-step explanation:

Part A

The ratios in the table are equivalent.

Length: Cost

6 : 42   = 1 : 7

15: 105 = 1: 7

24 : 168 = 1:7

30 : 210 = 1 : 7

The two quantities in this table represent a proportional relationship.

If we take length = x, then cost =7x

When length = 6 ,  Cost = 7 *6 = 42

When length = 15 ,  Cost = 7 * 15 =  105

When length = 24 ,  Cost = 7 *24 = 168

The graph of the relationship would be straight line through origin

y = 7x

y -> cost and x -> length

When x = 0 , y= 0. so, this graph go through the origin

Part B:

$ 7 per foot

Answer:

We can write this inequality in Interval Notation.

So, an inequality from -5 to -1 inclusive would just be.

[-5, -1].

The "[]" brackets mean "inclusive".

Let me know if this helps!

Answer:

1231

Step-by-step explanation:

12312

Answer:

x=2,y=7

Step-by-step explanation:

Using elimination method:

Add both equations

8x=16

x=2

Put x=2 into equation 2

3•2+6y=48

6y=42

y=7

Answer:

Both a and b

Step-by-step explanation:

The distribution has an outlier from 0 to 5 hours. The peak of this distribution is from 40 to 45 hours since this column is the tallest.

Answer:

g(1)=-72; g(n)=g(n-1)*(1/6)

Step-by-step explanation:

g(1)= -72*(1/6)^(1-1)=-72*(1/6)^0=-72*1=-72

g(2)=-72*(1/6)^(2-1)=-72*(1/6)^1=-72*(1/6)=-12

g(2)=g(1)*(1/6)

g(n)=g(n-1)*(1/6)

Answer:

140

Step-by-step explanation:

The prism shown is a rectangular prism

Volume of a rectangular prism = length * width * height

Given length: 3 1/2

Given width: 5

Given height: 8

Volume = 3.5 * 5 * 8 = 140

Answer:

[tex]A=140[/tex]

Step-by-step explanation:

The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular  prism, its volume can be found using the following formula,

[tex]A=l*w*h[/tex]

Substitute the given values into this formula,

[tex]A=l*w*h[/tex]

[tex]A=8*5*3\frac{1}{2}[/tex]

Simplify,

[tex]A=8*5*3\frac{1}{2}[/tex]

[tex]A=40*3\frac{1}{2}[/tex]

Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).

[tex]A=40*3\frac{1}{2}[/tex]

[tex]A=40*\frac{(3*2)+1}{2}[/tex]

[tex]A=40*\frac{6+1}{2}[/tex]

[tex]A=40*\frac{7}{2}[/tex]

To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,

[tex]A=40*\frac{7}{2}[/tex]

[tex]A=20*7[/tex]

Multiply to finish simplifying and get the answer,

[tex]A=20*7[/tex]

[tex]A=140[/tex]

Answer:

Slope = 1

Greatest value is positive infinite

Smallest value is negative infinite

Step-by-step explanation:

Function

Y=mx+c

Y=x

Answer:

158. surface area = 108π

volume = 216√3π

159. surface area = 4√97π+16π

volume = 144π

Answer:

C.

He dives 15 ( subtract) rises 4 (add) dives 7 (subtract)

-15 + 4 = -11 -7 = -18 meters

Using the second part of c: 4 + (-15) = 4-15 = -11 +(-7) = -11–7 = -18 meters

Answer:

Attached below

Step-by-step explanation:

Starting value = 0

Gain +25 = 0 + 25 = 25

Loss = 25 +(-25) = 0

Start = 0 and End = 0

This one :

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

If they gained 25 yards they move up 25 on the number line, if they lost 25 yards after that they move back to having 0 yards

the only graph that models this is:

for vegetable oil, it's increasing by 120, for cornstarch by 30

Answer:

6

Step-by-step explanation:

The independent value refers to the x values of a graph. Point A is located at (6, 3). Therefore, the value of the independent variable is 6.

The value of the independent variable at point A on the graph is 6.

The cause is the independent variable. Its value is unaffected by the other study variables.

In an experimental study, an independent variable is one that you change or alter to examine its effects. It is named "independent" because it is unaffected by any other study variables.

Given:

We have two quantities from the graph one is mass in grams and another is time.

as, the masses totally depends on growth of bay with time.

So, the dependent variable is Mass and independent  variable is Time.

Now, the coordinates for Point A is (6, 3).

Hence,  the value of point A is 6.

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Answer:

nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding

Step-by-step explanation:

Answer:

I believe it might be 2over 6

Step-by-step explanation:

my guess but it might be wrong or right i dont know

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

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Answer:

16.75 cubic inches

Step-by-step explanation:

Hopefully this helped, if it did, do give 5 stars and brainliest :)

Answer:

3 more than a number, z+3

three less than a variable, y-3

product of an unknown value and 3, 3a

quotient of some number and 3, b ÷ 3

and i think x3 is the cubed but it would be written as x^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Solve

 5(4x + 2) ÷ 7y

20x+10 ÷  7y

Sum: 20x+10 ÷ 7y

Products: 20x and 10

Factors: 5, 4x, and 2

Quotient: not present

Coefficient: not present

Terms: x and y

(3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

The graph of the equation is given as y = -3/4x + 3.

We have to find if the point (3, 2) a solution to the equation.

So, we will subtitute the point to to satify the equation;

y = -3/4x + 3.

y = -3/4(3) + 3

y = -9 / 4 + 3

y = 3/3 = 1

Thus, (3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .

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Answer:

Area(s) of both rhombus and parallelogram are equal at 24 meters squared. Therefore Joseph had the correct reasoning in regards to area(s) of both rhombus and parallelogram are equal at 24 meters squared.

Step-by-step explanation:

To equate area of the rhombus, multiply the side length and height of rhombus in meters. (6 meters×4 meters=Area of 24 m°2). Area of parallelogram = (12meters ×2 meters= 24 m°2. Area(s) of both rhombus and parallelogram are equal at 24 meters squared. therefore

I tried to make this as vague as possible since this is a question about your personal life.

1. sleep to hours in a day, 8:24

2. cans of soda to bottles of water, 1:2

3. meals to snacks, 3:2

Answer:

179.38 sq.units

Step-by-step explanation:

answer is in the pic