Simplify the expression
A. -5.1
B. - 4.21
C. 3.42
D. 5.1

Answer:

25 sq feet

Step-by-step explanation:

Length = 5 feet

Area = (Length)²

        = 5²

        = 25 sq feet

Explanation:

For the confidence interval (a,b), the midpoint is c = (a+b)/2

This midpoint is the sample proportion. This is because the confidence interval is built around this center point.

The midpoint of the interval (0.52, 0.58) is (0.52+0.58)/2 = 0.55

Step-by-step explanation:

Before we answer, the area of a Circle given it radius is

[tex]a = \pi r {}^{2} [/tex]

The area of a circle given it diameter is

[tex]a = \pi( \frac{d}{2} ) {}^{2} [/tex]

So let answers question 1-4.

1. The area is

[tex]1024\pi[/tex]

2. The area is

[tex]576\pi[/tex]

3.

[tex]1.225\pi[/tex]

4.

[tex]309.76\pi[/tex]

For the 5th problem, circumference is

[tex]\pi \times d[/tex]

where d is the diameter and

[tex]2\pi r[/tex]

where r is the radius.

A circumference of 100 m means the radius is 50 because

[tex]2\pi \times r = 100\pi[/tex]

[tex]r = 50[/tex]

So this means the area is

[tex]2500 {\pi}[/tex]

Answer:

Example:

0 - 6 = -6

4 - 10 = -6

Answer:

The choose 3.

[tex] \frac{x + 3}{2 {x}^{2} } [/tex]

Answer: 164 students passed and 41 students failed.

Step-by-step explanation:

Let the number of students be x

x students failed, but 4 times the failed students passed.

So 4x students passed and x students failed.

4x + x = 205

5x = 205

x = 205/5

x = 41

41 times 4 is 164 and 41 times 1 is 41.

So 164 students passed and 41 students failed

Answer:

11. 600

12. 1,200

13. 600

14. 800

15. 1,100

Step-by-step explanation:

look at the number in the 'tens' column. if the number is between 1-4, you round down, if the number is between 5-9, you round up.

Step-by-step explanation:

For the parabola( top question)

For the absolute value equation, bottom question

Answer:

Step-by-step explanation:

For the parabola( top question)X intercepts are (2,0) (4,0)Y intercepts are (0,4)Intervals of Increasing are [3, ♾)Intervals of decreasing are (- ♾, 3]The domain is All Real Numbers or (-♾, ♾)The range is [1, ♾)There is no maximum value of this function The minimum value is -1The axis of symmetry is x=3f(6)=4For the absolute value equation, bottom questionX intercepts is (2,0)Y intercepts are (0,3)The Intervals of Increasing are [2,infinity)The Intervals of decreasing are ( negative infinity,2]The domain is All Real Numbers or (negative ♾, positive ♾)Range is [0, positive ♾)There is no maximum value of the functionThe minimum value is 0f(-1)=4.5

Answer:

angle y=59 degrees

angle a= 62 degrees

Step-by-step explanation:

angle t =59

angle t=angle y(given)

therefore;

  angle y=59 degrees

angle a +angle t +angle y=180(sum of the interior angles of a triangle)

 a          +59        +59        =180

               a+118                  =180

                                     a   =180-118

                                       a =  62 degrees

Answer:

A.7x

B.8x -1

C.6x+12

D 4+3x

E.13x-7

Answer:

answer is 16380

Step-by-step explanation:

answer is 16380

Answer:

Step-by-step explanation:

We can see that:

Use the following identity:

Substitute the values to get:

Answer:

100 times larger.

Step-by-step explanation:

The 7 in the thousands place can be written as 7000

The 7 in the tens place can be written as 70

Times greater = 7000 / 70 = 100

So the answer is 100 times larger for the 7 in the thousands place to the 7 in the 10s place.

9514 1404 393

Answer:

  N = 250

Step-by-step explanation:

The way your question is written, the answer is a number of 2582 digits, much too large to show here. We assume you actually want N such that 10^N is the largest power of 10 that will divide 1005!.

__

That factor is limited by the number of factors of 2 and 5 in 1005!. Of those, there are far more factors of 2, so the actual limit is the number of factors of 5 in 1005!.

Every 5th number is divisible by 5, so there are 1005/5 = 201 numbers divisible by 5 in 1005!.

Every 5th one of those is divisible by another factor of 5, so an additional 201/5 ≈ 40.

Every 5th one of those is divisible by another factor of 5, so an additional 40/5 = 8.

Finally, every 5th one of those has yet another factor of 5, so an additional 8/5 ≈ 1.

Then the total number of factors of 5 in 1005! is 201 +40 +8 + 1 = 250.

That is, the number 1005! will end in 250 zeros. It will be divisible by 10^250.

  N = 250

Answer:

you either need to score a perfect on one exam and get a 80 on the second or get two 90s on both exams.

Step-by-step explanation:

Answer:

3 9/10

Step-by-step explanation:

in first step convert mix fraction into simple fraction then take LCM and then subtract it.

[tex]\\ \sf\longmapsto 123,949[/tex]

[tex]\\ \sf\longmapsto 123,95[/tex]

[tex]\\ \sf\longmapsto 123,9[/tex]

[tex]\\ \sf\longmapsto 124[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Note

Write the number until underlined point.I did it till end

Answer:

The number is 123949 (or 123.949 in case comma stands for decimal)

According the rounding rule

Round to the number 4, the second number from the right:

or

Answer:

120

Step-by-step explanation:

20% of 600

= 120 girls

Explanation

Total no. of students = 600%

20% of the total are girls

No. of girls = 20% of 600

No. of girls is 120

Answer:

[tex] \frac{17}{4} = 4 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]5 - \frac{3}{4} [/tex]

[tex] \frac{5}{1} - \frac{3}{4} = \frac{5 \times 4}{1 \times 4} = \frac{3}{4} [/tex]

[tex] \frac{20}{4} - \frac{3}{4} = \frac{20 - 3}{4} [/tex]

[tex] = \frac{17}{4} = 4 \frac{1}{4} [/tex]

Answer:

17/4-4 1/4 or 4.25

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

B: $0.60

Step-by-step explanation:

4x+6=8.40

4x=2.40

2.40 / 4 = .6

.6 = 0.60 or 60 cents

Answer:$0.60

Step-by-step explanation:

A bag a kibble is 6$

Subtract the cost for the kibble to the cost of all products.

  $8.40

-  $6.00  

  $2.40...  is the cost for all 4 cans of cat food.

Then divide $2.40 by 4... That will be B) $0.60

Answer:

-12x - 30

Step-by-step explanation:

12 - 6(2x + 7)

=> 12 - 12x - 42

=> -12x - 30

Answer:

6 (-5-2x)

Step-by-step explanation:

12-6(2x+7)

6(2-(2x+7)) factor the expression

6(2-2x-7) remove parentheses

6(5-2x) answer!

Answer:

C) $12.00

Step-by-step explanation:

Take the price of the bill

78.20

Find 10 %

78.20 * .1

7.82

Take half ( which is 5%)

3.91

Add the two amounts together

7.82+3.91

11.73

Rounding to the nearest dollar

12.00

OR

Round the bill to 80.00

Take 15%

80 * .15

12.00

9514 1404 393

Answer:

  a) they are congruent

  b) isosceles; ∠IBC≅∠ICB

Step-by-step explanation:

a) We are given that ΔABC is isosceles, such that AB≅AC. Points D and E are located so that AD≅AE. Of course, ∠A≅∠A, so ΔACE ≅ ΔABD by SAS. Then angles ABD and ACE are congruent by CPCTC.

__

b) Angle IBC is the difference between angle ABC and angle ABD. Angle ICB is the difference between angle ACB and angle ACE. These differences are between values that are the same, so the differences are the same. That means ∠IBC≅∠ICB, and ΔIBC is isosceles.

Answer:

A = $10.50

B = $17.50

C = $24.50

Step-by-step explanation:

Answer:

×=204

Step-by-step explanation:

6=210

210-6

x=204

Answer:

(i) 2x+3y=9.3

5

ˉ

⇒2x+3y−9.3

5

ˉ

Comparing the equation with ax+by+c=0

a=2,b=3,c=−9.3

5

ˉ

Answer:

[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Step-by-step explanation:

Given

3x - x² ← factor out - 1 from each term

= - (x² - 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 3x

= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )

= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )

= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Answer:

A. 25+33m=c

Step-by-step explanation:

Because gym membership for m month will cost the enrollment fee along with the monthly fee multiplied by the number of months (m).

So, the expression will be:

25 + 33m = c