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HACTEHA [7]
2 years ago
10

What is the distance of 4 and -10 on a number line?

Mathematics
2 answers:
san4es73 [151]2 years ago
8 0

Answer:

-6 ? I believe so

Step-by-step explanation:

because like a number line shows how much you go and when you count the places from 4 to -10 its 6

N76 [4]2 years ago
3 0

Answer: 14

Step-by-step explanation:

Whenever you're looking at a number line, you're going to often see negative and positive numbers. -10 is a negative number (due to the hyphen on the left of the number) so that would be 10 numbers below 0. Negative numbers are opposite from positive numbers. For the distance of these two numbers, you're going to count the numbers; starting from -10, -9, -8, until you reach 0, then you can count the positive spaces and the distance would be 14.

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Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 10 ÷ 5 and 5 ÷
nikklg [1K]

Answer:

no, its not equivalent

Step-by-step explanation:

10/5= 2

5/10=0.5

5 0
2 years ago
The population P = P(t) of Helm, can be modeled by
MariettaO [177]

Answer:

A.) 0.0129 = k

B.) 2024

Step-by-step explanation:

A.)

267,000 = 250,300e^k5

267,000/250,300 = e^k5

1.0667 = e^k5

ln(1.0667) = lne^k5

ln(1.0667) = 5k

ln(1.0667)/5 = k

0.0129 = k

B.)

300,000 = 250,300^0.0129t

300,000/250,300 = e^0.0129t

1.1986 = e^0.0129t

ln(1.1986) = lne^0.0129t

ln(1.1986) = 0.0129t

ln(1.1986)/0.0129 = t

14.03 = t

so the year would be: 2024

7 0
3 years ago
The first new path will increase access to the fountain. it will be perpendicular to the existing path and pass through F(4,14).
VashaNatasha [74]

Answer:

y=1/4x+13

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains
Whitepunk [10]

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

<h3>What is the price of the bond five years from now?</h3>

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: brainly.com/question/26484024

4 0
2 years ago
F(x) = 1/(5x-6)Find the derivative of this function
siniylev [52]

Given

f(x)=\frac{1}{5x-6}

To find the derivative of the give function,we apply below exponent rule first:

\frac{1}{a}=a^{-1}

So,

Next, we apply the chain rule:

So,

We substitute back u=(5x-6):

Simplify:

Therefore, the answer is:

=-\frac{5}{(5x-6)^2}

5 0
1 year ago
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