Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9​

Answer:

898,9

Step-by-step explanation:

Answer:

A.) -5

Step-by-step explanation:

-3×-5 = 15 (two negatives equal a positive)

15-4 = 11 which is greater than 7

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Answer:

length = 24 yards

width = 3 yards

Step-by-step explanation:

perimeter = 54 yards

perimeter = (2 x length) + (2 x width)

ratio of length and width = 8 : 1

total ratio of length and width is 9 = a

length = (8/9)a

width = (1/9)a

perimeter = (2 x 8/9)a + (2 x 1/9)a = (16/9)a + (2/9)a = (18/9)a = 2a = 54

a = 54/2 = 27 yards

length = 8/9 x 27 = 24 yards

width = 1/9 x 27 = 3 yards

The probability distribution for X is given as follows:

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The distribution gives the probability of each possible outcome, hence it is given as follows:

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Answer:

Equation : y = -0.9x − 1.5

Step-by-step explanation:

Slope is rise over run, 7 over 8

-7/8 = -0.875, round to nearest tenth

-0.875 = -0.9

y- intercept is the point that crosses the y-axis,

the line crosses the y-axis at -1.5

Answer:

Step-by-step explanation:

b- base of the triangle = 6

h - height of the triangle = 4

L = length of the rectangles = 7

s₁ = breadth of the base rectangle = 6

S₂ = breadth of the right rectangle = 5

s₃ = breadth of the left rectangle = 5

Surface area of the prism = bh + L*(s₁ + s₂ + s₃)

                                          = [ 6*4 ] + 7 * (6+5+5)

                                          = 24 + 7*16

                                          = 24 + 112

                                           = 136 square units

The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

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If X ~ Exponential(µ), then the mean of X is 1/µ. So if the mean of X is twice the mean of Y, then the mean of Y is 1/(2µ), so that Y ~ Exponential(2µ).

We're given that

P(X > 50) = 1 - P(X ≤ 50) = 1 - Fx (50) ≈ 0.7788

==>   Fx (50) = P(X ≤ 50) ≈ 0.2212

where Fx is the CDF of X, which is given for 0 ≤ x < ∞ to be

Fx (x) = 1 - exp(-µx)

Solve for µ :

1 - exp(-50µ) ≈ 0.2212   ==>   µ ≈ -ln(0.7788)/50 ≈ 0.005

Then we have

P (Y > 40) = 1 - P (Y ≤ 40) = 1 - Fy (40)

where Fy is the CDF of Y,

Fy (y) = 1 - exp(-2µy)

so that

P (Y > 40) ≈ 1 - exp(-2 × 0.005 × 40) ≈ 0.3297

Answer:

from the given information we can find the value for x = 2 by just plugging 2 in place of x in the equation.

Step-by-step explanation:

for DFG if we plug 2 as x we get (2x2 + 6) = 10.

for EFG if we put 2 as x we get (3x2 -11) = -5.

Answer:

-27

Step-by-step explanation:

5(-3)^3(5)^-1

5(-27)(1/5)

-135(1/5)

-135/5

-27

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Given:

The bakers at Healthy Bakery can make 170 bagels in 2 hours.

To find:

How many  bagels can they bake in 14 hours and the rate per hour.

Solution:

We have,

Number of bagels the bakers can bake in 2 hours = 170 bagels

Number of bagels the bakers can bake in 1 hours = \(\dfrac{170}{2}\) bagels

                                                                                   = 85 bagels

Therefore, the average rate is 85 bagels per hour.

Number of bagels the bakers can bake in 14 hours = \(14\times 85\) bagels

                                                                                    = 1190 bagels

Therefore, the bakers can bake 1190 bagels in 14 hours.

Answer:

a = 9h + nb

Step-by-step explanation:

1) Variables:

a=total amount earned

h=hours worked in one week

n=number of items repaired

b=bonus amount for each item

2) He earns $9.00 an hour plus a bonus for each item repaired.

=> he earns 9 times the number of hours plus value of the bonus times the number of items repaired

=>  a = 9h + nb

Check the picture below.

Answer:

Answer below

Step-by-step explanation:

Large numbers like 100 billion are cumbersome to write out in ordinary form (100,000,000,000) and so scientists use a shorthand notation called powers of ten. ... The exponent tells you how many times ten is to be multiplied by iteslf to equal the number you wish to write. For example, 100 can be written as 10x10 = 102.

Hope this helps!

Answer:

B) 1/x^2

Step-by-step explanation:

Simplify the following:

x^9/x^11

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.

Combine powers. x^9/x^11 = x^(9 - 11):

x^(9 - 11)

Hint: | Evaluate 9 - 11.

9 - 11 = -2:

Answer:  x^(-2) = 1/(x^2)

Answer:

D

Step-by-step explanation:

A is impossible.

the absolute value of something is always a positive number. the negative sign before it makes it an always negative number. so, this can never be equal to +5.

B is impossible for the same reasons.

the absolute value is always positive and can never be equal to -5.

C is impossible again for the same reasons.

the negative absolute value of x is always negative. subtracting 2 from that makes the result even more negative. this can never be equal to +5.

D is the only fitting option.

we have two extreme points x = -3 and x = 7.

putting them into the equation gives us for x = -3

-|-3 - 2| = -|-5| = -5 => correct

and for x = 7

-|7 - 2| = -|5| = -5 => correct

The correct answer is -|x - 2| = -5

Answer:

30 Degrees for sure

Answer:

Volume V = 18.735 m3

Step-by-step explanation:

hope this helps

Answer:

3400, If it's a decimal version then, 3.39

Step-by-step explanation:

3,389

The 8 is after the 3/the hundreds place. So you round the 8 because the 8 is greater then 5 and then you get 3,400. Decimal version: 3.34, the hundreds place in the decimal is the second digit to the right of the period. 3.389 = 3.34 9 is greater then 5. Your welcome :)

Answer:

I believe its C i saw this yesterday somewhere not 100% sure

Step-by-step explanation:

The volume of the solid obtained by rotating the region in the first quadrant bounded by x=0, y=1, x=y^4 about the line y=10 is 678.53 units cubed.

Here we can use the formula for the area of the circle which is A = pi*r^2 to calculate the area of the cylindrical shell. since the volume of the solid formed by rotating the given region about the line y=10 can be found by using the method of cylindrical shells, it states that the volume of the solid of revolution is equal to the integral of the cross-sectional area of the solid with respect to the axis of rotation.

in order to calculate the volume, we first need to find the radius of the cylindrical shell, this can be done by subtracting the distance from the line of rotation. in this case, the distance from the line of rotation to the axis of rotation is 10, thus the radius of the cylindrical shell is y-10.

while using the formula for the area of the circle, here subsituting the radius of the cylindrical shell into this formula will give us the area of the sylindrical shell, then integrate the area of the cylindrical shell with respect to the axis of  rotation,  which will given us the volume of the solid, so the volume of the solid  by rotating the region in the first quadrant bounded by  v about the line  y=10 given by the integral of the I*(y-10)^2 from y=1 to y=10, which gives  us the aprroximately 678.54

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Answer:

  2.  <

Step-by-step explanation:

A units digit of 0 is less than a units digit of 1, so ...

  0.9 < 1.1

Answer:

The answer is 0 if there are 85 inches in the past year then there wouldn't be any in the present year.

Step-by-step explanation:

Answer:

40 segments

Step-by-step explanation:

Divide the 120 inches into 3 inch segments, it gives you 40 3 inch segments

The amount of calories in 246.5 gm of Cereal 397.5372 calories

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example,

Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees. As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

In 177.4 gm of cereal contain 110 calories.

So, 1 gram cereal contain

= 177.4 / 110

= 1.6127

and, 246.5 gm will contain

=246.5 x 1.6127

= 397.5372 calories.

Hence, 397.5372 calories are in 246.5 grams of this cereal.

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Answer:

Symbols= P(A^1)

Value: 2/5 , 4/25 , 3/5 , 16/25

Step-by-step explanation:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}

Step-by-step explanation:

2, 6, 18, 54, 162

This is a geometric sequence because it is increasing by multiplication. The common ration of the sequence is *3.

Our sequence values will serve as the y-values, or the range, and our x-values will be the term number.

Domain, or x-values: {1, 2, 3, 4, 5, ...}

Range, or y-values: {2, 6, 18, 54, 162, ...}

It is not A or D because we can't have negative term values. "All real numbers" implies all positive and negative integers.

The range also cannot be all real numbers for the same reason.

8a+8+5a−6

=8a+8+5a+−6

=8a+8+5a+−6

=(8a+5a)+(8+−6)

=13a+2

=> (8a + 8) + (5a – 6)

=> (8a + 5a) + (8 – 6) [Combine like terms]

=> (13a + 2)