the table shows realtionships betweeen.....

Answer:

Option C.

Option B.

Step-by-step explanation:

By definition, the square of a number is that number times itself.

The square root of a perfect square is a whole number.

Since the square root of another number (not perfect square) is not a whole number, you can estimate it finding two perfect square roots that number is between.

1) Observe that 4 and 9 are perfect squares:

[tex]4=2^2\\9=3^2[/tex]

And 8 is between those numbers.

Therefore, the square roots [tex]\sqrt{4}[/tex] and [tex]\sqrt{9}[/tex] are used to estimage [tex]\sqrt{8}[/tex]

2) Notice 36 and 49 are perfect squares:

[tex]36=6^2\\49=7^2[/tex]

And 42 is between those numbers.

Therefore, the square roots [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex] are used to estimage [tex]\sqrt{42}[/tex]

The square roots used to estimate √8 are √4 and √9 while the square roots to estimate √42 are √36 and √49.

The two square roots that are used to estimate √8 are √4 and √9 since the value of √8 falls between the value of these two square roots (2 and 3). The reason why these are chosen is due to √8 being greater than √4 and less than √9. Similarly, the two square roots to estimate √42 are √36 and √49. The square root of 42 is more than the square root of 36 (which is 6) and less than the square root of 49 (which is 7). Therefore, to estimate the square roots, we find two perfect squares that the number falls between.

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For this case we have:

The area of the piece of fabric is given by [tex]A = a * b[/tex]

Where

[tex]a = \frac{1}{3}yards[/tex]

[tex]b = 3 \frac{5}{8}yards[/tex]

Substituting in the formula of the area we have:

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

[tex]A = \frac{1}{3}* (3 + \frac{5}{8})\\[/tex]

[tex]A = 1 + \frac{5}{24}[/tex]

[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]

Thus, the area of the piece of fabric is given by: [tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]

Answer:

[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]

1/3 x 3 5/8 = (1/3 x 3) + (1/3 x 5/8)

= 3/3 + 5/24

= 29/24

There are 80.5 kilometres in 50 miles.

1 mile= 1.61 km

50 miles= x

1x= 50*1.61

x=80.1

80.1 kilometers

The time period which has the greatest rate of change is from 0 to 5 minutes, because the steeper the line is, the greater the slope is. Hope this helps!

[tex]0-5\ min\\\\\dfrac{3\ km}{5\ min}=0.6\ \dfrac{km}{min}\\\\5-20\ min\\\\\dfrac{(4-3)\ km}{(20-5)\ min}=\dfrac{1\ km}{15\ min}\approx0.067\ \dfrac{km}{h}\\\\20-35\\\\\dfrac{(6-4)\ min}{(35-20)\ min}=\dfrac{2\ km}{15\ min}\approx0.133\ \dfrac{km}{min}\\\\0.067 < 0.133 < 0.6\\\\Therefore\ your\ answer\ is: A)\ 0\ to\ 5\ minutes[/tex]

Here we are given first that Nuclear power provided 78% of the energy used in france in 2005.

Now this was written in decimal as 0.78.

Then we have to write it in fraction form.

So first we have here two digits after the decimal, so in denominator we will have 100,

[tex]\frac{78}{100}[/tex]

Now we have to convert this into simplest form.

For that we have to find HCF of 78 and 100.

The HCF of 78 and 100 is 2, so we will divide both numerator and denominator by 2,

[tex]\frac{78/2}{100/2}[/tex]

This gives us:

[tex]\frac{39}{50}[/tex]

Answer: The simplest form of 0.78 as as fraction is 39/50.

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Hello,

Please, see the attached files.

Thanks.

The other constrain would be the number of hours it takes to make each one.

4 hours for a mountain bike would be 4x

5 hours for a road bike would be 5y

The hours need to be less than or equal to a total of 300 hours.

The missing constraint would be 4x + 5y ≤ 300.

Answer:

4x + 5y ≤ 300

Step-by-step explanation:

x: no of mt bike n y: no. of road bike

4 labor hrs for 1 mt bike n 5 labor hrs for 1 road bike

company has at most 300 labor hrs per day

so the contraint is 4x + 5y ≤ 300

Answer:

It is correct because 8/9x3/4=2/3

Step-by-step explanation:

12 - x < 8

add x to both sides

12 - x + x < 8 + x

12 < 8 + x

re-write

8 + x > 12

Subtract 8 to both sides

8 + x - 8 > 12 - 8

x > 4

The graph B is matching the answer (x > 4)

So answer is B.

Let's solve your inequality step-by-step.

12−x<8

Step 1: Simplify both sides of the inequality.

−x+12<8

Step 2: Subtract 12 from both sides.

−x+12−12<8−12

−x<−4

Step 3: Divide both sides by -1.

−x

−1

<

−4

−1

x>4

Answer:

x>4

NOTE step 3 i was tryna do a fractions it aint work out so good soo i like added a pic

Equation step-by-step:

4n - 18 = 52 → we take -18 to the right side of the equation

4n = 52 + 18 → we solve for 52 + 18

4n = 70 → we take 4 to the right side of the equation

n = 70 / 4 → we solve for 70 / 4

n = 17,5 → final answer

Hope it helped,

BioTeacher101

The answer is 8.

You divide 88 by 11 to find out how much Bianca haves.

D. (X-3)(4x)+(x-3)(2)

Answer:

[tex](x-3)(4x)+)x-3)(2)[/tex]

Step-by-step explanation:

Multiply [tex](x-3)(4x+2)[/tex] using the distributive property.

Distributive property is a(b+c) is a times b + a times c

Distribute a inside the parenthesis

When we are given with two parenthesis , we distribute first parenthesis inside the second parenthesis

In the given expression, distribute (x-3) inside the second parenthesis

[tex](x-3)(4x+2)[/tex]

[tex](x-3)(4x)+)x-3)(2)[/tex]

Given

You have an allowance of $12.00

discount movies ticket that costs at least $3.50

popcorn that costs $2.75.

Find out the  how much do much do you have for other spending.

To proof

Let us assume that the money for the other spending be x.

As given

total  allowance = $12.00

discount movies ticket that costs at least  = $3.50

popcorn costs =  $2.75

than the inequality written in the form

3.50 + 2.75 + x  ≤  12.00

6.25 + x ≤ 12.00

x ≤  5.75

you have money for other spending is atmost 5.75

when the movies ticket that costs at least $3.50

Hence proved

Final answer:

After purchasing a discounted movie ticket for at least $3.50 and popcorn for $2.75 from an allowance of $12.00, the student will be left with $5.75 for other spending.

Explanation:

The student is given a scenario involving budgeting and calculating remaining allowance after certain purchases. To find out how much money is left for other spending after purchasing a discounted movie ticket and popcorn, we subtract the total cost of these items from the initial allowance.

If the student has an allowance of $12.00 and buys a movie ticket for at least $3.50 and popcorn for $2.75, the calculation for the remaining allowance will be as follows:

We add these two amounts to find the total spent:

Total spent = $3.50 + $2.75 = $6.25

We then subtract the total spent from the initial allowance:

Remaining allowance = $12.00 - $6.25 = $5.75

Therefore, the student will have $5.75 left for other spending.

Angle created by intersecting lines are 115° and 65°

Given that;

One angle is less than 50°

Find:

Measure of all angles

Computation:

We know that;

Sum of two adjacent angles = 180°

Assume;

One angle = a

So,

Another angle = a - 50

So,

a + (a - 50) = 180

2a - 50 = 180

2a = 230

a = 115°

another angle = 180 - 115

Another angle = 65°

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Answer = 0 ≤ x ≤ 25

Explanation:  

Break the word equation into two for better understanding  

-20 less than or equal to 2x -20 >>>> -20 ≤ 2x -20

2x -20 less than or equal to 30 >>>> 2x -20 ≤ 30

Keeping in view the question we deduce the equation  

-20 ≤ 2x -20 ≤ 30

Solve and simplify the above equation accordingly, by breaking down the equation

-20 ≤ 2x -20      and   2x -20 ≤ 30

-20+20 ≤ 2x      and   2x ≤ 30 +20

    0 ≤ x (0/2)    and     x ≤ 25 (50/2)

So,    0 ≤ x ≤ 25

Mrs. Dimas should have $10 left over, you will also be able to buy 8 basketballs.

Answer: R' = [tex](3\frac{1}{3} ,1\frac{2}{3})[/tex], S' = [tex](3\frac{1}{3} ,-3\frac{1}{3})[/tex], T' = [tex](-1\frac{2}{3} ,-3\frac{1}{3})[/tex]

Step-by-step explanation:

R = (2, 1)  ⇒  R' = [tex](\frac{5}{3})2 , (\frac{5}{3})1 = (\frac{10}{3} , \frac{5}{3})[/tex]

S = (2, -2)  ⇒  S' = [tex](\frac{5}{3})2 , (\frac{5}{3})(-2) = (\frac{10}{3} , \frac{-10}{3})[/tex]

T = (-1, -2)  ⇒  T' = [tex](\frac{5}{3})(-1) , (\frac{5}{3})(-2) = (\frac{-5}{3} , \frac{-10}{3})[/tex]

Plot the coordinates.

Given options : Two intersecting circles are drawn with a radius in each marked. the image will be linked.

Given options : An equilateral triangle inscribed in a circle

A square inscribed in a circle

A regular pentagon inscribed in a circle

A regular hexagon inscribed in a circle.

Note. When we join an intersection point of two circles and centers of the circles it would form an equilateral triangle that would be inscribe inside a common portion of both circles..

Therefore, an equilateral triangle inscribed in a circle would be correct option.

She is completing an equilateral triangle inscribed in a circle.

The  equation x² + y² − 2x + 6y + 3 = 0 is equivalent to  (x − 1)² + (y + 3)² = 7

The standard equation of a circle is expressed as

x² + y² + 2gx + 2fy + C = 0

Given the equation x² + y² − 2x + 6y + 3 = 0. Using the completing the square method to write its equivalent

x² - 2y + y² + 6y + 3 = 0

( x² - 2y + 1) - 1 +(y² + 6y + 9) - 9+ 3 = 0
(x-1)² - 1 +(y + 3)² - 6 = 0
(x-1)² + (y + 3)² = 7

Hence the  equation x² + y² − 2x + 6y + 3 = 0 is equivalent to  (x − 1)² + (y + 3)² = 7

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Answer:

2 (less than or equal to) t (less than or equal to) 98, Real Numbers

Step-by-step explanation:

2 (less than or equal to) t (less than or equal to) 98, Real Numbers

:) hope this helps!

The domain of the function H(t), which models the height of a plant over time, would consist of integers ranging from -2 to 98 to represent each day of the plant's growth, including the two days before purchase.

The question at hand is asking which type of number is more appropriate for the domain of a function, H(t), that models the height of Pooja's plant (in centimeters) t days after she bought it. The domain of a function includes all the possible inputs for the function, in this case, the number of days after Pooja bought the plant. Considering Pooja's plant sprouted 2 days before she bought it and lasted for 98 days, the best number type for the domain would be integers since the days are counted in whole numbers. However, if we include the 2 days before she bought it, the domain in context would be from -2 to 98. Therefore the domain would be {-2, -1, 0, 1, 2, ..., 98}, which are all integers.

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Answer:Each installment will be of 60 and 16th will be the last payment.

Step-by-step explanation:

To find the monthly repayment by Oscar we first find the sequence.

For that first we put [tex] n=1 [/tex] in

[tex] F(n)=900-60(n-1)[/tex]

[tex] F(1)= 900-60(1-1) = 900 [/tex]

Now for [tex]n=2 [/tex]

[tex] F(2)=900-60(2-1)=840[/tex]

For [tex]n=3[/tex]

[tex] F(3)=900-60(3-1)=900-120=780[/tex]

So the sequenxe is 900,840,780......

As the amount is decreasing by 900-840=840-780=60

Therefore each installment will be equal to 60

For last payment amount will become 0

i.e.[tex]F(n) =0[/tex]

[tex] 900-60(n-1)=0[/tex]

[tex] 900-60n+60=0 [/tex]

[tex] 960=60n [/tex]

[tex]n = 960\div60[/tex]

[tex]n = 16 [/tex]

Last month will be 16th

The amount Oscar pays monthly is $900, and he will make his last payment in month 16.

To find the amount Oscar pays monthly, we can subtract the amount he repays in each month from the previous month's balance. The formula F(n) = 900 - 60(n-1) represents the remaining amount Oscar needs to repay at the beginning of month n. By plugging in n = 1, we can find the initial balance and the amount he paid that month. To find the month in which he makes his last payment, we can set F(n) to zero and solve for n.

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Hello there

Since  there is 1 foot water in the tank the total volume = 3*2 * 1

= 6 cubic feet.  

volume of 6 cu. feet corresponds to 1 foot of water in height, this will help you find your answer

The Perez family's rectangular fish tank can hold 18 cubic feet of water by multiplying the length, width, and height (3ft x 2ft x 3ft).

To calculate the amount of water the Perez family's rectangular fish tank can hold, we use the formula for the volume of a rectangle, which is length * width * height.

Given:

The volume (V) is calculated as:

V = l * w * h

V = 3 feet * 2 feet * 3 feet

V = 18 cubic feet

Therefore, the rectangular fish tank can hold 18 cubic feet of water.

Answer: 576

Step-by-step explanation:

To find the area of a triangle you do base times the height divided by two. Now that you have the area and the base you just have to do the opposite

So you would do 1,440*2 = 2,880

Then you would divide 2,880 from 5. 2,880/5=576

So the answer is 576