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BARSIC [14]
3 years ago
8

Which expression is equivalent to 4 - (-7)​

Mathematics
2 answers:
yarga [219]3 years ago
5 0

Answer:

4 + 7

(also 11)

Step-by-step explanation:

MAXImum [283]3 years ago
3 0

Answer:

7+4 or 11

Step-by-step explanation:

7+4 since 4-(-7) makes a mega plus.

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Attachment below <br> algebra helppppp
yKpoI14uk [10]

Answer: second option.

Step-by-step explanation:

In order to solve this exercise, it is necessary to remember the following properties of logarithms:

1)\ ln(p)^m=m*ln(p)\\\\2)\ ln(e)=1

In this case you have the following inequality:

e^x>14

So you need to solve for the variable "x".

The steps to do it are below:

1. You need to apply ln to both sides of the inequality:

ln(e)^x>ln(14)

2. Now you must apply the properties shown before:

(x)ln(e)>ln(14)\\\\(x)(1)>2.63906\\\\x>2.63906

3. Then, rounding to the nearest ten-thousandth, you get:

x>2.6391

3 0
3 years ago
Maria estimates college tuition and fees, room and board, books, and other charges total $10,100. She will receive a scholarship
garri49 [273]
Maria needs to save $187.50 per month in order to attend college. 

First, subtract the $1,100 scholarship from the cost of college, or $10,100, to get $9,000. This is the amount that she needs to save after 4 years. Next, since she is saving monthly, we need to know how many monthly periods are in 4 years, so multiply 12 months/year by 4 years to get 48 monthly periods. Finally, divide the total amount needed ($9,000) by the monthly periods (48) to get $187.50. This answer would change if she earned any interest on her savings, and depending on the compounding period, if any, for such interest. 
3 0
3 years ago
Simplify the expression: 3x2⋅x2=<br><br><br> a<br><br>3x<br><br> b<br><br>3x4<br><br> c<br><br>3x2+2
DedPeter [7]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

8 0
3 years ago
A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area
elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

SA=2\pi r^2 + 2\pi r h

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi

Original SA is 44\pi,

Halving diameter makes it 20\pi

Halving height makes it 26\pi

So, halving diameter does not have same effect as halving height.

5 0
3 years ago
Joey's age is 3 less than twice his brother's age. Joey is 13 years old. How old is his brother?
Murrr4er [49]

Answer:

20

Step-by-step explanation:

3 0
3 years ago
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