Compute $\sqrt{25^2-7^2}$.

Answers

Answer 1

Answer:

24

Step-by-step explanation:

[tex]\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24[/tex]

Answer 2

Answer:

24

Step-by-step explanation:

First we compute the number under the radical.

We have 25² = 625 and 7² = 49, so 25² - 7² = 625 - 49 = 576.

Thus, √25² - 7² = √576 = √24², which is 24.


Related Questions

ANYONE WANNNA HELP MATH!!!!! HRW BTW

Answers

Answer:

1/4 off

Step-by-step explanation:

1/4 is 0.25. 0.25 times 100 is 25. It would be 25% off. 25 is more than 20 and why buy 3 to get 1 free. Hope this helps!!!! Let me know if i'm right please.

If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False

Answers

Answer:

true

Step-by-step explanation:

u are right

Answer:

True

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = -2; b = -5

Then your linear equation will be:

y = -2x -5

given h (x) =2x+5, find h (-6)

Answers

h(-6) = 2(-6) + 5
h(-6) = -12 + 5
Solution: h(-6) = -7

A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.6748 centigrams 6.748 centigrams 67,480 centigrams 674,800 centigrams

Answers

Answer:

674,800

Step-by-step explanation:

Answer:

674,800

Step-by-step explanation:

I did the unit test on edge 2021

PLEASE HELPPP THIS IS SUE IN 5 MINUTESSS! I WILL MARK YOU AS BRAINLIEST!!!!!

The expression 12 dollars t can be used to find the total cost for t tickets to the movie theater. Choose the correct number expression to represent 12 dollars times t.
A) 12+t
B) 12-t
C) 12/t
D) 12*t

Answers

Answer:

D) 12*t

Step-by-step explanation:

It askes for the correct number expression to represent 12 dollars times t

and * means times so this expression 12*t literally means 12 dollars times t

so D) is your answer or D) 12*t

good luck with ur assignment or test! hope u aced it.

Please, What do you think of this. Please I need help on this

Answers

Answer:

C

Step-by-step explanation:

Since Year 3 and 4 have the highest students just subtract 33-25 and you get 8

Triangle UVW is formed by the three squares G, H, and I:

A right triangle UVW is shown. On the side UV of this triangle is a square. Inside the square is written Square G, Area equal to 81 square units. On the side VW of this triangle is another square. Inside the square is written Square H, Area equal to 144 square units. On the side UW of this triangle is another square. Inside the square is written Square I, Area equal to 225 square units.

Which statement best explains the relationship between the sides of triangle UVW?

UV + VW = UW, because 81 + 144 = 225
(UV)2 + (VW)2 = (UW)2, because 152 + 92 = 122
(UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225
UV + VW = UW, because 152 + 92 = 122

Answers

Answer:

The correct answer would be C- (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

-Thank you

Answer:

C. (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

Step-by-step explanation:

81 + 114 = 225

225 = 225

100% correct I took the test today and got 100%. :)

can i plz have brainliest

HELP FIVE STARS,THANKSAND BRAINLIEST (if your right)!!

What is the y-coordinate of the point shown in the graph?

P.S the graph is in the picture above.​

Answers

Answer:

-7

Step-by-step explanation:

the full coordinate would be  3,-7. just line up the number directly above it and to the left/right and write it down x,y

dy÷dx=(x-1)(x+3) at x=2 first principal ​

Answers

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?

The cafeteria offers two snack options as shown in the table. Out of 18
students, 8 students choose Option B and the rest choose Option A. If the
total cost of option A is the same as the option B, what is the price of a
carton of milk?”

Answers

Answer:69,420

Step-by-step explanation:

9+10=21

The price of a carton of milk is $1.00

The given parameters are:

Number of students, n = 18Option A = 8

Since 8 chose option A, it means that 10 would choose option B

So, the equation that represents when both price are equal is:

[tex]8(2x + 0.5) = 10(x + 1)[/tex]

Where

2x + 0.5 represents the unit price of option A

x + 1 represents the unit price of option B

Open the brackets

[tex]16x + 4 = 10x + 10[/tex]

Collect like terms

[tex]16x - 10x = 10 - 4[/tex]

Evaluate the like terms

[tex]6x = 6[/tex]

Divide

[tex]x = 1[/tex]

Hence, the price of a carton of milk is $1.00

Read more about equivalent equations at:

https://brainly.com/question/2972832

Water runs from a pump at a rate of 1.5 gallons per minute. At this rate, how long would it take to fll a tub with a 150-gallon capacity?

Answers

it would take 100 minutes

Can someone help with this please? I think it has to do with the Pythagorean theorem.

Answers

Answer:

2 sqrt(13)

Step-by-step explanation:

We can use the Pythagorean theorem

The x value between A and B is  4 units and the y value is  6 units

The distance is

d = sqrt( x^2 + y^2)

   = sqrt( 4^2 + 6^2)

   = sqrt( 16+36)

  = sqrt(52)

  = sqrt(4*13)

 = 2 sqrt(13)

What is the equation of this line

Answers

the correct answer is D

Find the value of x. Will give brainliest

Answers

Answer:

x = 11

Step-by-step explanation:

Angle CAB = 33 degrees (Z-figure)

Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.

Sum of all angles in the triangle should equate to 180 degrees.

Now the sum is of all angles in triangle ABC is:

CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x

So 213 - 3x should equal 180.

213 - 3x = 180 <=> -3x = -33 <=> x = 11

Help if your smart plzzzzzzz
( will give 35 pts and brainliest)

Answers

Answer:

a) alternate interior angles theorem

b) OXP ≅ XOL

c) XO ≅ OX

d) reflexive property  (i'm not sure about this one)

e) ΔXOP ≅ ΔOXL

f) cpctc

make sure to double check the fourth one

If Zuri continues to travel at 0.2 miles per minute. how far will she travel in one hour?

Answers

Answer:

1.2 miles yr welcome

12 miles — (60 x 0.2)

Which equation has all real numbers as solutions?
HELLLPP

Answers

Answer:

The last answer D

Step-by-step explanation:

Hope this helps. :) :D

The equation 3y + 1 = 3y + 1 has all real numbers as solutions becasuse 0 = 0 true for all real numbers option (D) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The first equation:

3y = 3y + 1

0 = 1 (false)

The second equation:

3y = 3

y = 1 (one real solution)

The third equation:

3y = 0

y = 0 (one real solution)

The fourth equation:

3y + 1 = 3y + 1

0 = 0 (infinitely solution)

Thus, the equation 3y + 1 = 3y + 1 has all real numbers as solutions becasuse 0 = 0 true for all real numbers option (D) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

PLEASE HELP i’ll mark brainliest!!

Answers

Answer:

[tex] { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x - 7 = 8x \\ \\ {x}^{2} + 2x - 8x = 7 \\ \\ {x}^{2} - 6x = 7 \\ \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} + 7 \\ \\ {(x - 3)}^{2} = 9 + 7 \\ \\ { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

5(g + 17) = (Simplify your answer.)​

Answers

Answer:

5g+85 is the answer

Step-by-step explanation:

i hoped it helped

Predict the shape of the molecule.
2-
S
:0:
A. linear
B. trigonal planar
C. tetrahedral
D. bent

Answers

The answer is C) tetrahedral

Answer:c

Step-by-step explanation:

Six more than the product of seven and a number is 55.
Which equation and solution correctly represent this sentence?
07 +6 = 55; x = 7
o 7x+6 = 55; x = 49
O + 6 = 55; x = 7
7
Х
+ 6 = 55: x= 49

Answers

Answer:

7x + 6 = 55; x=7

Step-by-step explanation:

"six more than" -> +6

"product of seven and a number" -> 7x

7x + 6 = 55

7x = 55 - 6

7x = 49

x=7

Answer:

6+7x=55, x=7

Step-by-step explanation:

7x=55-6

7x=49

x=7

Find θ. Round to the nearest degree. Right Triangle Trigonometry.

Answers

Answer:

64 =theta

Step-by-step explanation:

We have a right triangle.

We know the adjacent side and the hypotenuse

adjacent/ hypotenuse = cos theta

7/16 = cos theta

Take the inverse cos of each side

cos ^-1 ( 7/16) = cos ^ -1 cos theta

64.05552023 = theta

64 =theta

Answer:

≅ 64°

Step-by-step explanation:

using rule of cos invers

[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week

Answers

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right

can anyone help me thanks ggg

Answers

Answer:

J/K

Step-by-step explanation:

if PV = GcT, c = PV/GT

Substitute:

c = (N/m^2)(m^3)/K

c = (N*m)/K

We know that N*m = J, so c = J/k

Which expressions are equivalent to 6a(5+d) ?

Select each correct answer.


30a+6ad

30ad

30a+(6a⋅d)

(6a⋅5)+(6a⋅d)

11a + d

Answers

Answer: A is correct i think

Step-by-step explanation:  6a x 5 = 30a

                                              6a x d = 6ad

Answer:

A

Step-by-step explanation:

Plz help with these 2 questions and thx !

Answers

Answer:

The first is 18.

The second is less than (<).

Step-by-step explanation:

Hope this helps <3

Answer:

1. 18

2. C

Step-by-step explanation:

1. 7/42=1/6 3•6=18

2. 3/7 is greater than 3/8

what is the missing number in the solution to 948 = 10 below

Answers

Answer:

I can't see anything below-so thx for the free points ig

Step-by-step explanation:

Which of the following are geometric sequences?
Check all that apply.

Answers

Answer:

c , I think :))))))))))))

Answer: C

Step by Step Explanation:

Can not give, sorry

if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals

Answers

Answer:

[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]

[tex]\frac{8r+8s}{15x-15y} = ?[/tex]

Step 2: Find Unknown

Multiply both sides by 8/15:                    [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply:                                  [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify:                                                   [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha

Answers

Complete Question

A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha 0.05

Answer:

The p-value is  [tex]p-value =0.073614[/tex]

 The conclusion is  

There is sufficient evidence to support the claim  that there was no significant difference between boys and girls on a standard memory test

Step-by-step explanation:

From the question we are told that

      The sample size of boys and girls is  [tex]n_1= n_2 = n = 40[/tex]

      The standard deviation is  [tex]s_1= s_2 = s = 5[/tex]

        The level of significance is  [tex]\alpha = 0.05[/tex]

       The sample mean for boys is  [tex]\= x_1 =66[/tex]  

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a : \mu_1 < \mu_2[/tex]

 Generally the test statistics is mathematically represented as

           [tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1 ^2 }{n_1} + \frac{s_2 ^2 }{n_1} } }[/tex]

=>       [tex]z = \frac{66 -68 }{ \sqrt{\frac{5^2 }{40} + \frac{5 ^2 }{40} } }[/tex]

=>       [tex]z = -1.789[/tex]

From the z table  the area under the normal curve to the left corresponding to    -1,789   is

          [tex]P(Z < -.1789 ) = 0.036807[/tex]

Generally the p-value is mathematically represented as

         [tex]p-value = 2 P(Z < -.1789 )[/tex]

=>      [tex]p-value = 2 * 0.036807[/tex]

=>      [tex]p-value =0.073614[/tex]

From the values obtained we see that  [tex]p-value < \alpha[/tex] hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence to support the claim  that there was no significant difference between boys and girls on a standard memory test

 

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