Apply the distributive property to simplify the expression. 8(3x − 6)

Answer: 90 degrees

Step-by-step explanation:

If a line bisects any angle, it means the two sides are equal, so we can set the equation equal to each other.

2x+15=3x

Subtracting 2x from both sides we get;

x=15

Now we can solve the problem by substituting 15 back in the equation

2(15)+15+3(15)

30+15+45

45+45

=90

The answer is 90 degrees.

Answer:

---------------------------------

After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

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Answer:

Step-by-step explanation:

This problem requires that we convert from miles per hour to feet per seconds

Given that the speed of the X43A plane is 7500 mph

and that 1 mile = 5,280 feet)

\(=\frac{7500miles}{h} *\frac{5280 feet}{mile} \frac{1hour}{3600 seconds} \\\\=\frac{7500*5280}{3600} \\\\=\frac{396*10^5}{3600} \\\\=11000 feet/seconds\\\\=11*10^3feet/seconds\\\\\)

Therefore the speed of the X43A plane in feet per second is 11000

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Step-by-step explanation:

6/5is the answer................

Answer:

1 and 1/5

Step-by-step explanation:

6 times 1/5 is 1/5+1/5+1/5+1/5+1/5+1/5 which equals to 6/5 which also equals to 1 and 1/5

Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

Answer:

149+(13x+5)=180

154+13x=180

13x=26

x=2

Answer:

see explanation

Step-by-step explanation:

The 2 angles are adjacent on a straight line and sum to 180° , then

149 + 13x + 5 = 180 , that is

154 + 13x = 180 ( subtract 154 from both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Then

unknown angle = 13x + 5 = 13(2) + 5 = 26 + 5 = 31°

Division is one of the four fundamental arithmetic operations. Iko paid for 11 months.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Iko paid $176 total for a premium streaming video service that costs $16 per month. Therefore,

The total amount Iko paid  = $176

The amount paid per month = $16

The number of months to pay $176

= 176 / 16

= 11

This means Iko paid for 11 months.

Thus, Iko paid for 11 months.

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Answer:

\(-2r+4\)

Step-by-step explanation:

\(-8(r-2)+6(r-2)\)

Distribute:

\((-8)(r)+(-8)(-2)+(6)(r)+(6)(-2)\\-8r+16+6r+-12\)

Combine like terms:

\((-8r+6r)+(16+-12)\\-2r+4\)

-2r + 4 is your answer.

The greatest or maximum value for the given function = -8.25

The minimum or smallest value for the given function =-4

The maximum value of a function is the highest value of that function. To calculate the greatest function, the following equation is used,

Formula max = c - (b2 / 4a)

Where,

a = 2

b = 5

C = -7

Therefore maximum function

= -7 -(5*2/4*2)

= -7-(10/8)

= -7 - 1.25

= -8.25

The minimum value of a function is the least value of that function.

Formula for the minimum = c - b^2/4a.

= -7-5^2/4*2

= -32/8

= -4

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Your chances of being killed or injured in such a crash are 5 times greater when you are thrown from your car than when you are buckled up

The safest decision that drivers and passengers can make is to use their seatbelts.

The national seat belt use rate was 90.4% in 2021, indicating that many Americans are aware of the life-saving benefits of seat belts.

In 2017, it is projected that 14,955 lives were saved by seat belt use in passenger automobiles.

Recognize the potentially devastating repercussions of not using a seat belt and discover how to always buckle up properly for you and your family.

Buckling up keeps you safe and secure within your car, whereas not doing so increases your chance of being completely ejected from the vehicle in an accident, which is virtually always fatal.

You need more protection than air bags.

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Answer:

(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6

Step-by-step explanation:

The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3

We will solve this expression by using BODMAS rule,

B - Bracket (Parenthesis)

O - Order (exponents)

D - Division

M - Multiplication

A - Addition

S - Subtraction

(16 - \(8^{1}\) × 2 ÷ 4 + 6) ÷ 3

We will solve the expression inside the parenthesis first followed up by the exponents,

(16 - \(8^{1}\) × 2 ÷ 4 + 6)

= (16 - 8 × 2 ÷ 4 + 6)    

Then Divide,

= (16 - 8 × \(\frac{1}{2}\) + 6)

Then multiply,

= (16 - 4 + 6)

Further addition,

= (22 - 4 )

At last subtract,

= (18)

Now put the solution of the parentheses in the expression,

= (18) ÷ 3

= 6

Therefore, solution of the given expression will be 6.

Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

\(Price = \$32\)

\(Mark\ down = 20\%\)

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

\(P_2 = Price(1 - Mark\ down)\)

Substitute values for Price and Mark down

\(P_2 = \$32 * (1 - 20\%)\)

Express percentage as decimal

\(P_2 = \$32 * (1 - 0.20)\)

\(P_2 = \$32 * (0.80)\)

Remove bracket

\(P_2 = \$32 * 0.80\)

\(P_2 = \$25.6\)

The payable amount is 10% off the marked down price,

This is calculated as:

\(Amount = P_2 - P_2 * 10\%\)

Substitute $25.6 for P2

\(Amount = \$25.6 - \$25.6* 10\%\)

Express percentage as decimal

\(Amount = \$25.6 - \$25.6* 0.10\)

\(Amount = \$25.6 - \$2.56\)

\(Amount = \$23.04\)

The closest amount paid is $23

Step-by-step explanation:

what is meant by mg in this question

Answer:

There is no answer

Because absolute value causes a positive answer and it is written here -13 !!!

it's impossible

Answer:

1,2

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

If it fell 3 deg every hour for 5 hours so the equation is 3*5 plus a - sign because it dropped degrees

Answer:

24cm

Step-by-step explanation:

Length = 8 × 3

= 24cm

hope it helps

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer: 2

Step-by-step explanation: Buying price per Apple=34/8=17/4 Rs

Selling price per Apple=57/12=19/4Rs

Profit per apple=Selling price-Buying price

Profit=  

4

19

​

−  

4

17

​

Profit=  

4

2

​

Profit=  

2

1

​

apples should be sold to earn a net profit of Rs 45

45=x× -  

2

1

​

=2  

Answer (A) 2

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:x=15

Step-by-step explanation:

Answer:

K = 4 ; N = 106

Step-by-step explanation:

Given the following :

Source of VARIATION - SS - df - - MS - - - - - F

Between groups - 1,959.79 - 3 - - 653.26 - 21.16*

Error - - - - - - - - 3,148.61 - - - - 102 - - 30.86

Total - - - - - - - - - - - 5,108.41 - 105

The degree of freedom between group (treatment) (DFT) is obtained using the formula ;

K - 1, where k = number of groups observed

DFT = K - 1 ; From the ANOVA table, DFT = 3

3 = K - 1

3 + 1 = K

K = 4

To obtain sample size (N) :

Degree of freedom of Error (DFE) is the difference between the sample size and the number of groups observed.

DFE = N - K ; From. The table DFE = 102 ; K = 4

102 = N - 4

102 + 4 = N

N = 106

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;

5 a. The value of a is 3.5

b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel

A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential  function

The function is f(x) = a·log₃(x - 4),

x > 4 and a > 0

The coordinates of a point on the graph of the function, f is A(13, 7)

5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows

f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²

7 = a·log₃3²

7 = 2·a·log₃3 = 2·a·1 = 2·a

2·a = 7

a = 7 ÷ 2 = 3.5

a = 3.5

5 b. The coordinates of the x-intercept of the graph = (5, 0)

The equation of the function is;

f(x) = 3.5·log₃(x - 4)

A third point on the graph is given when f(x) = 14 as follows;

f(x) = 14 = 3.5·log₃(x - 4)

log₃(x - 4) = 14 ÷ 3.5 = 4

3⁴ = x - 4

x = 3⁴ + 4 = 85

Which gives the point, (85, 14)

Similarly, we have the point (31, 10.5), (7, 3.5)

Please find attached the graph of f(x) created with MS Excel

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