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Kamila [148]
3 years ago
6

Four times a number decreased by seven

Mathematics
1 answer:
Elden [556K]3 years ago
7 0
In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):

"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3

With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
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Solve the triangle. B = 36°, a = 38, c = 18
Gelneren [198K]

Answer:

A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°

Step-by-step explanation:

A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)

_____

Given two sides and the included angle, the Law of Cosines can help you find the third side.

... b² = a² + c² - 2ac·cos(B)

... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

... b ≈ 25.715

Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.

... sin(C)/c = sin(B)/b

... C = arcsin(c/b·sin(B)) ≈ 24.29515°

This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)

... A = arcsin(a/b·sin(B)) ≈ 119.70485°

4 0
2 years ago
(02.01 LC) Simplify 4 over 7 ÷ 3 over negative 8. negative 32 over 21 negative 3 over 14 3 over 14 32 over 21
zhannawk [14.2K]

Answer:

(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21

4 0
2 years ago
Using the equation F = ma, find the acceleration (a) of a 15 kg mass (m) that is acted on by 3 Newtons of Force (F). Group of an
Tcecarenko [31]

Answer:

Step-by-step explanation:

Yes

6 0
2 years ago
Read 2 more answers
You subtract two integers and the difference is -8 what could those integers be
RSB [31]
(-4)-4 could be some integers to subtract and get -8
5 0
3 years ago
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A company offers premium cable for 39.95 per month plus a one time setup fee. The total cost of 6 months of service is 264.70. W
ss7ja [257]

Answer:

Total cost = 983.8

Step-by-step explanation:

Monthly charge = 39.95

One time set up fee = x

Number of months = y

Total cost = x + 39.95y

The total cost of 6 months of service is 264.70.

264.70 = x + 39.95(6)

264.70 = x + 239.7

264.70 - 239.7 = x

x = 25

Total cost = 25 + 39.95y

Write and solve a linear equation to find the total cost for 2 years of service

2 years = 24 months

Total cost = 25 + 39.95y

= 25 + 39.95(24)

= 25 + 958.8

= 983.8

Total cost = 983.8

6 0
3 years ago
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