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3 years ago

Which of the following terms describes the 2 in the expression 5x - 3y + 2z + 1?

Mathematics

1 answer:

Serjik [45]3 years ago

8 0

Answer:

coefficient

Step-by-step explanation:

it has three terms

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Grayson's car used 2 gallons to travel 30 miles. How far can he travel on 3 gallons?

Darina [25.2K]

Answer:

Step-by-step explanation:

You do 30 divided by 2 = 15. then you do 15+30=45, and boom, there is your answer

4 0

3 years ago

During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints

AnnyKZ [126]

The given data can be tabulated as:

number of days,x length of tunnel (ft), y

0 225

5 350

20 725

30 975

55 1,600

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

The complete equation is:

y = 25x + 225

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

Therefore the length of the completed tunnel is 2,375 feet.

5 0

3 years ago

Please help me and we should use laws of exponents

elena55 [62]

Answer:

3.b

$(\frac{8}{3})^{2x+1} *(\frac{8}{3})^{5} =(\frac{8}{3}) ^{x+2}\\\\(\frac{8}{3})^{2x+1 +5} =(\frac{8}{3}) ^{x+2}\\\\\\2x +6 = x+2\\x = -4$

i hope question 3.a. is 5^x ÷ 5^-3 = 5^5

3.a.

$\frac{5^x}{5^{-3}} = 5^5\\\\5^ {x+3} = 5^5\\\\x+3 = 5\\x =2$

6 0

3 years ago

Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she u

Alex787 [66]

Answer with explanation:

Presume that, initial water level to be, 0 mm, at a time t=0.

And water level is rising at the rate of $1.8 \frac{\text{mm}}{\text{year}}$ .

After 6.2 years level of water will be =1.8 × 6.2

=11.16 mm

→Averge, that is increase in water level after 6.2 years is given by

$=\frac{W_{2}-W_{1}}{t_{2}-t_{1}}\\\\=\frac{11.16-0}{6.2-0}\\\\=\frac{11.16}{6.2}\\\\=1.8 \frac{\text{mm}}{\text{year}}$

→→Rate of Depreciating of water level is given by = Negative of Increase of water level= $-1.8 \frac{\text{mm}}{\text{year}}$

5 0

3 years ago

Read 2 more answers

The sum of three consecutive integers is 63. What is the lowest of the three integers?

sveta [45]

One number be x
x+(x+1)+(x+2)=63
x+x+1+x+2=63
3x+3=63
3x=63-3
3x=60
x=60:3
x=20
smallest number = x=20
middle number = x+1= 20+1=21
largest number = x+2 =20+2= 22

3 0

3 years ago