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olga55 [171]
4 years ago
14

When David first got a job, his annual income was $20,000. He worked hard and got more experience. After 8 years, he realized th

at his average increase in pay was about $4,000 every year. Which scatter plot represents this situation?

Mathematics
1 answer:
mrs_skeptik [129]4 years ago
8 0

Answer:

The equation would be:

y= 4,000(x-1)+20,000

y= annual income

x= number of years

With this you can find the points for the scatter plot:

x=1 y= 20,000

x=2 y= 24,000

x=3 y= 28,000

x=4 y= 32,000

x=5 y= 36,000

x=6 y= 40,000

x=7 y= 44,000

x=8 y= 48,000

The scatter plot that represents this situation is attached.

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Y=log x If y=10, then what is x?
netineya [11]

Answer:

First question, x= 10^10.

Second question is 10!. or 362880

Step-by-step explanation:

First Question:

Simple logx has a base of 10, i.e log10 x,

the question will be 10 = log10 x,

when taking the base "10" from the right side to the left, the number on the left side becomes the power of the base, in this case 10 from the right will be base and 10 from the left will power and log will vanish.

x=10^10.

Another example with different numbers

Y=logx if Y= 12, What is x?

The base is ten when not given,so:

12=logx

10^12=x

Second Question;

simple multiplication just multiply the numbers.

10! is pronounced as 10 factorial,

5! will be 5x4x3x2x1=120

8 0
4 years ago
First I will build the envelope. For this, I am using a rectangular piece of material 28m long and 12m wide. Out of this materia
RUDIKE [14]

Answer:

3.728 cm²

90

Step-by-step explanation:

To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.  

Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.

So, the length of the patches is 28 \times \frac{1}{12} = 2.33 m and the width of the patches is 12 \times \frac{2}{15} = 1.6 m.

Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)

Now, the area of the rectangular piece of material is (28 × 12) = 336 m²

Hence, \frac{336}{3.728} = 90.37 ≈ 90 such patches can be made out of the whole material. (Answer)

3 0
3 years ago
An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when
lisov135 [29]
The question is asking what v_final is, given that v_initial is at 300 feet. and v_initial is at 0 feet.  
We know there will be a constant downward acceleration of 32.15 ft/s^2.
 Use the following equation: 
 v_final^2 = v_initial^2 + 2ah
 v_final^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft) = 6310 ft^2/s^2
 v_final = (6310 ft^2/s^2)^1/2 = 79.4 ft/s.
5 0
3 years ago
Answer this pleaseee !!
photoshop1234 [79]

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

6 0
3 years ago
Read 2 more answers
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5
Ket [755]

Answer:

since p value < x(0.05) so we reject the null hypothesis

step 5 ( conclusion)

reject the null hypothesis and there is sufficient evidence to support the claim that the true average percentage differs from 5.5.

Step-by-step explanation:

   

check the attachment for detailed explanation

3 0
3 years ago
Read 2 more answers
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