16
Part A
(a)
Martin noticed that he had spent $100 on a new bike and deposited $100 that he had earned from selling books to a
used bookstore. Which integer represents the change in Martin's savings?
A 100
BO
C-100
D-200
SHOW HINT

Answer:

9600

Step-by-step explanation:

y varies inversely with the square of x

y=k/(x^2)

for some non-zero constant k

y=6 when x=4

6=k/(4^2)

k=96

y=96/(x^2)

x=0.1

y=96/(0.1^2)

y=9600

Answer:

1.5 moles

Step-by-step explanation:

number of moles = no. of particles / Avagadro number

therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23

therefore, no. of moles = 1.5

There are 1.5 moles in 9.033 * 10^23 Lithium atoms.

Answer:

what is the question?

Step-by-step explanation:

Answer:

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) [tex]\frac{200}{2} = 100[/tex] (Even number)

2) [tex]\frac{100}{2} = 50[/tex] (Even number)

3) [tex]\frac{50}{2} = 25[/tex] (Even number)

4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

[tex]200 = 2^{3}\times 5^{2}[/tex]

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Answer:

2 * 3 * 5

Step-by-step explanation:

made a 100 on the text trust!!!!!

Answer:

B : 10 cm^3

Step-by-step explanation:

L x W x H = V

4cm x 2cm x 1 1/4 (1.25) = 10cm^3

1 1/4 = 4 x 1 = 4 + 1 = 5/4 = 1.25

Hope this helps!

I am pretty sure this is right.  

Answer:

x = 2

y = 152°

Step-by-step explanation:

✔️9x + 10 = 15x - 2 (corresponding angles theorem)

Collect like terms

9x - 15x = -10 - 2

-6x = -12

Divide both sides by -6

x = -12/-6

x = 2

✔️y + (15x - 2) = 180° (same-side interior angle theorem)

Plug in the value of x

y + (15*2 - 2) = 180

y + 28 = 180

y = 180 - 28

y = 152

Answer:

This is curve sketching which is used in math

Step-by-step explanation:

we can see a graph plotting with the equation...of all sides

Answer:

[tex]Boys = 1 /4[/tex]

[tex]Total =112[/tex]

Step-by-step explanation:

Given

[tex]Girls= 3/4[/tex] ---  missing information

[tex]Boys = 28[/tex]

Solving (a): The fraction that are boys

We have:

[tex]Girls= 3/4[/tex]

This implies that

[tex]Boys = 1 - Girls[/tex]

[tex]Boys = 1 - 3/4[/tex]

[tex]Boys = 1 /4[/tex]

Solving (b): Students in the class

If 1/4 are boys, then:

[tex]Boys = \frac{1}{4} * Total[/tex]

We also have that: [tex]Boys = 28[/tex]

So:

[tex]28= \frac{1}{4} * Total[/tex]

[tex]28 * 4 = Total[/tex]

[tex]112= Total[/tex]

[tex]Total =112[/tex]

Answer:

B

Step-by-step explanation:

You can use Desmos to help with questions like these :)

Answer:

1/8th of a foot

Step-by-step explanation:

All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.

5 / 8 = 0.625 = 1/8

Answer:

yes, he still needs all the buses he hired

Step-by-step explanation:

768 people/56 people per bus = 13.71, so 14 buses

768 - 19 = 749 people going

749people/56 people per bus = 13.37, so still need 14 buses

Answer:

vssguudgebseisiehjejsieheusssushsbddjdhfbbfjfjfnfnfnfnfnnfjfngjfjfjfjfjfjfjfjf

Answer:

n = 18

Step-by-step explanation:

n/2 + 15 = 24

n/2 = 9

n = 18

Answer:

c

Step-by-step explanation:

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

1

3

3

5

7

8

10

10

12

12

Annual sales (Y) :

85

97

95

97

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

Answer:

1. a. The decimal form of 1/3 is 0.33333333333...

b. To find the decimal form of (0.333333333333...)², we need to convert it to fraction. The fraction of 0.333333333333... is 1/3

(1/3)² is 1/9.

if we convert 1/9 back to decimal we get 0.11111111111111....

Answer:

The answer for  4+2×3²-9​ is 13

Step-by-step explanation:

4+2×3²-9​=13

Answer:

4+2×3-9 i think forgot

Step-by-step explanation:

Answer:250 feet

Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do  4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it

Answer:

the answer is 3/6 cause you go up 3 and over 6

Part A:

8t + 5h = 220

t + 5h = 112

Part B:

T-shirt cost $13.50

Hat cost $22.40

Answer:

y = 2x - 1

Step-by-step explanation:

-1 is the y-intersect of the slope

Complete Question:

The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.

Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?

Answer:

The height is 36 meters

Step-by-step explanation:

Given

[tex]y = 24 * \frac{x}{10}[/tex]

Required

The interpretation of the question is to determine the value of y when x = 15

Substitute 15 for x in: [tex]y = 24 * \frac{x}{10}[/tex]

[tex]y = 24 * \frac{15}{10}[/tex]

[tex]y = 24 * 1.5[/tex]

[tex]y = 36[/tex]

The height is 36 meters

Answer:

54

Step-by-step explanation:

edge

Answer:

cos(49) = x/50

Step-by-step explanation:

(The answer to the equation is 32.8)

Answer:

The son is 5 I think

Step-by-step explanation:

24+3=27

27 divided by 5 = 5.4

round 5.4 to 5 since it is under .5

and you get 5

Step-by-step explanation:

Yeah, 10°+15°+18°=43°

Also, they individually are less than 90° so yes

Answer:

Step-by-step explanation:

Answer:

the answer is C.

Step-by-step explanation:

(50+40)/2=45

Answer:

so to average 45mph for 4 hours, he had to drive 4x45 miles total

4x45= 180miles

now we know he drove 120 miles (3x40) in the first 3 hours.

so he drove 180-120= 60 miles in the last hour.

60mph