4(x-1)=-8 how do i answer this

Answer:

x = 3

Step-by-step explanation:

Your first step is to divide each side by 4. This would give you x + 3 = 6. Now, all you have to do is subtract 3 from the left side to move it to the right. This would give you the final answer of x = 3.

Answer:

x = 3

Step-by-step explanation:

4(x + 3) = 24

First we want to isolate the binomial x + 3 by dividing both sides by 4.

x + 3 = 6

Now, subtract 3 from both sides.

x = 3

This is your answer.

Check your answer by plugging x = 3 back into the equation.

4(x + 3) = 24

4(3 + 3) = 24

4(6) = 24

24 = 24

Your answer is correct.

Hope this helps!

Answer:0.65

Step-by-step explanation:

The standard error of the sample mean is approximately 0.682, rounded to the hundredths place.

To calculate the standard error of the sample mean, we need to find the sample mean and the standard deviation of the data. Then we can divide the standard deviation by the square root of the sample size.

First, let's calculate the sample mean:

Mean = (64.5 + 64 + 66.5 + 64 + 62.5 + 61 + 63) / 7 = 64.14

Next, let's calculate the standard deviation. We will use the sample formula for standard deviation (Bessel's correction):

Calculate the squared differences from the mean for each temperature:

(64.5 - 64.14)² = 0.1904

(64 - 64.14)² = 0.0204

(66.5 - 64.14)² = 5.5376

(64 - 64.14)² = 0.0204

(62.5 - 64.14)² = 2.6836

(61 - 64.14)² = 9.8324

(63 - 64.14)² = 1.2696

Calculate the sum of the squared differences:

Sum = 0.1904 + 0.0204 + 5.5376 + 0.0204 + 2.6836 + 9.8324 + 1.2696 = 19.5544

Calculate the variance:

Variance = Sum / (n - 1) = 19.5544 / (7 - 1) = 3.25907

Calculate the standard deviation:

Standard Deviation = sqrt(Variance) = sqrt(3.25907) = 1.80597

Finally, let's calculate the standard error of the sample mean:

Standard Error = Standard Deviation / sqrt(n) = 1.80597 / sqrt(7) ≈ 0.682

Therefore, the standard error of the sample mean is approximately 0.682, rounded to the hundredths place.

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What are the numbers

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Given :

Coffee cost in a paper cup , $1.50 .

Coffee cost in a cremic mug , $6 .

Refills of the ceramic mug are $1 .

To Find :

How  many refills do you need to buy to make buying the mug a better value

then buying individual paper cups of coffee.

Solution :

Let , number of fills to make mug better option is x .

So , money spend in mug in greater than paper cup .

\(1.5x6+1x\\\\0.5x>6\\\\x>12\)

Therefore , after 12 cups of coffee, ceramic mug will have better value than paper cups .

Hence , this is the required solution .

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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Answer:

  x - 18 = 21

Step-by-step explanation:

In math, the description, "the difference between p and q" is written as ...

  p - q

Then the difference between x and 18 is ...

  x - 18

When we say that "is 21", we mean it is equal to 21:

  x - 18 = 21

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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What number must you add to x² + 16x = 3 to complete the square 64: Option C

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

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Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Hello!

\(\large\boxed{c_{5} = 136}\)

We can begin by solving for c₃ given the equations:

c₃ = 3c₂ + 2c₁ - 2

c₃ = 3(2) + 2(4) - 2

Simplify:

c₃ = 6 + 8 - 2 = 12

We can now find the subsequent terms:

c₄ = 3(12) + 2(2) - 2 = 38

c₅ = 3(38) + 2(12) - 2 = 136

Now we have to,

find the required value of c₅.

Given that,

→ c₁ = 4

→ c₂ = 2

→ \( \sf {c_n = 3c_{n-1}+2c_{n-2}-2}\)

Let's solve c₃ first,

→ 3c₂ + 2c₁ - 2

→ 3(2) + 2(4) - 2

→ 6 + 8 - 2 = 12

Then the value of c₃ is

→ [c₃ = 12]

Then find the value of c₄,

→ c₄ = 3(12) + 2(2) - 2

→ c₄ = {36 + 4} - 2

→ c₄ = 40 - 2

→ [c₄ = 38]

Next we can solve for c₅,

→ c₅ = 3(38) + 2(12) - 2

→ c₅ = {114 + 24} - 2

→ c₅ = 138 - 2

→ [c₅ = 136]

Hence, the value of c₅ is 136.

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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Answer:

1-1=0 haha

Step-by-step explanation:

if you have one ball and then take away one ball, you will have zero balls

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Answer: vvvvv

Step-by-step explanation:

Let R1 and G1 represent the red and green apples available for the first selection, respectively. Similarly, let R2, G2a, and G2b represent the red and two green apples available for the second selection, respectively. Then, the sample space for the two selections is:

{(R1, R2), (R1, G2a), (R1, G2b), (G1, R2), (G1, G2a), (G1, G2b)}

Out of these six outcomes, only two involve selecting a green apple first: (G1, R2) and (G1, G2a). And out of these two outcomes, only one involves selecting a green apple second: (G1, G2a).

Therefore, since the probability of selecting a green apple second changes based on whether a green apple was selected first, the events of selecting a green apple first and selecting a green apple second are dependent.

The second term in the binomial expansion of (2r - 3s)¹² is -73728 r¹¹ s option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

(2r - 3s)¹²

Using nth term of the binomial expansion is:

= C (12, 2-1) (2r)¹²⁻²⁺¹ (-3s)²⁻¹

After solving

= -73728 r¹¹ s

Thus, the second term in the binomial expansion of (2r - 3s)¹² is -73728 r¹¹ s option (A) is correct.

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Answer:

\(2\sqrt{1.86}\) = 0.95  \(2\sqrt{0.95}\)= 0.485 --> (hundredth) 0.49

Step-by-step explanation:

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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Answer:

12.5

Step-by-step explanation:

13.5 12.5 10.8 9 11 10 12.5 13 10.5 12

The mode is the number that appears the most number of times.

We place the numbers in ascending order just for convenience.

9 10 10.5 10.8 11 12 12.5 12.5 13 13.5

Every number appears once except 12.5 that appears twice.

Answer: 12.5

Answer:

Step-by-step explanation:

The relationship between  driving hours (h) and miles driven (m) is expressed as:

speed = distance/time

Given

Distance = 208miles

Time = 4hours

Substitute to get the speed first

Speed = 208/4

Speed = 52mi/hr

From the formula

S = d/t

Substitute the speed gotten

52 = d/t

d = 52t

Hence the  equation that shows the relationship between  driving hours (h) and miles driven (m) is d = 52t where d is measures in miles and t in hr

Answer: it’s (4), I took the test too so I know it’s most likely right.

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

Answer:

poope

Step-by-step explanation:

dhishd ok wbeiebeijfid djdiixe

Answer:

Step-by-step explanation:

The student is correct because the number has decimal expansion that repeats.

To determine the area of the figure accurately, we need more information or a description of the figure. The measurements provided (4 cm, -3 cm, 8 cm, 6 cm) do not provide enough details to calculate the area. Please provide additional information or a description of the figure so that I can assist you in finding the closest measurement to its area.