W/4 -4=3

Solve the eqution pls!

Answer: yes

Step-by-step explanation:

because if you were to ask someone this question they would respond with a number but a lot of people would reply with different answers which shows variability if it were to be compared with other different answers.  A statistical question is one that can be answered by collecting data and where there will be variability in that data.

I don't know the answer so help

The volume of the cone is 314cm³

A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.

The volume of the cone is 1/3πr²h

h²= 13²-5²

h = √169 - 25

h = √144

h = 12 cm

V = 1/3πr²h

V = 1/3 ×3.14 × 5² × 12

V = 942/3

V = 314 cm³

therefore the volume of the cone is 314cm³

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The quotient in polynomial form is C. x² - x ₊ 1.

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.

It is given by:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, we have a 99% confidence level, hence\(\alpha = 0.99\), z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

Additionally, we have that \(\sigma = 38, M = 10\), hence we solve for n to find the minimum sample size needed.

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(10 = 2.575\frac{38}{\sqrt{n}}\)

\(10\sqrt{n} = 38 \times 2.575\)

\(\sqrt{n} = 3.8 \times 2.575\)

\((\sqrt{n})^2 = (3.8 \times 2.575)^2\)

n = 95.7

Rounding up, a sample of 96 people must be taken.

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The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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Answer:

C 52x3

Step-by-step explanation:

Answer:

2m^3 + 3m^2

Step-by-step explanation:

8m^4+12m^3

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

4m

2m^3 + 3m^2

Check

4m(2m^3+3m^2)

8m^4 + 12 m^3

Answer:

x = 7

y = 8

Step-by-step explanation:

The following data were obtained from the question:

Data => 4, 6, х, y, 10

Mean = Median

x =?

y =?

Next, we shall determine the mean of the data. This can be obtained as follow:

Data => 4, 6, х, y, 10

Mean =?

Mean = summation of data / number of data

Mean = 4 + 6 + х + y + 10 / 5

Mean = 20 + х + y / 5

Next, we shall determine the median of the data. This can be obtained as follow:

Data => 4, 6, х, y, 10

Median =?

Median = the middle term of data

Median = x

Next, we shall equate the mean and median. This can be obtained as follow:

Mean = 20 + х + y / 5

Median = x

Mean = Median

20 + х + y / 5 = x

Cross multiply

20 + х + y = 5x

Collect like terms

20 + y = 5x – x

20 + y = 4x

Make y the subject

y = 4x – 20

Case 1

Let x = 7

y = 4x – 20

y = 4(7) – 20

y = 28 – 20

y = 8

Mean = 20 + х + y / 5

Mean = 20 + 7 + 8 / 5

Mean = 35/5

Mean = 7

Median = x

x = 7

Median = 7

Mean = median = x = 7

Case 2:

Let x = 8

y = 4x – 20

y = 4(8) – 20

y = 32 – 20

y = 12

We can see that y is 12 which means that the data (i.e 4, 6, х, y, 10) would become 4, 6, х, 10, y. But from the question, we were told that the data (i.e 4, 6, х, y, 10) is in order. Therefore if y is 12, the order would be altered.! And this is not acceptable.

From the above illustration, we can conclude that:

x = 7

y = 8

Answer:

Step-by-step explanation:

Proportional relationship equation:

Use one pair of coordinates to find the value of k, the point (3, 2):

Step-by-step explanation:

Proportionality = y2 - y1/x2 - x1

=> (2 - 0)/(3 - 0)

=> 2/3

Hence,

⅔ is the correct answer

Answer:

none

Step-by-step explanation:

there would be no solutions because 39 does not equal 15

Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;

$78,000

An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.

The annual salary of Winston as an accountant = $60,000

The amount Winston's financial asset generates = $4,000 per year

The cost of running the business = $8,000

The amount Winston earns as revenue = $150,000

Therefore;

Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000

The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business

The cost of running the business = $8,000

The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost

The total cost = $60,000 + $4,000 + $8,000 = $72,000

The economic profit = The total revenue - The total cost

Therefore;

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Step-by-step explanation:

the sum of an infinite geriatric series with |r| < 1 is

s = a1/ (1 - r)

in our case we have

a1 = 8

12 = 8/(1 - r)

12(1 - r) = 8

1 - r = 8/12 = 2/3

-r = -1/3

r = 1/3

so, the first 4 terms (I added a5 too, just in case your teacher meant the NEXT 4 terms) are

a1 = 8

a2 = a1 × 1/3 = 8/3

a3 = a2 × 1/3 = 8/9

a4 = a3 × 1/3 = 8/27

a5 = a4 × 1/3 = 8/81

...

Answer:

\(8,\quad \dfrac{8}{3},\quad \dfrac{8}{9},\quad\dfrac{8}{27}\)

Step-by-step explanation:

Sum to infinity of a geometric series:

\(S_\infty=\dfrac{a}{1-r} \quad \textsf{for }|r| < 1\)

Given:

Substitute given values into the formula and solve for \(r\):

\(\implies 12=\dfrac{8}{1-r}\)

\(\implies 1-r=\dfrac{8}{12}\)

\(\implies r=1-\dfrac{8}{12}\)

\(\implies r=\dfrac{1}{3}\)

General form of a geometric sequence: \(a_n=ar^{n-1}\)

(where a is the first term and r is the common ratio)

Substitute the found values of \(a\) and \(r\):

\(\implies a_n=8\left(\dfrac{1}{3}\right)r^{n-1}\)

The first 4 terms:

\(\implies a_1=8\left(\dfrac{1}{3}\right)r^0=8\)

\(\implies a_2=8\left(\dfrac{1}{3}\right)r^1=\dfrac{8}{3}\)

\(\implies a_3=8\left(\dfrac{1}{3}\right)r^2=\dfrac{8}{9}\)

\(\implies a_4=8\left(\dfrac{1}{3}\right)r^3=\dfrac{8}{27}\)

Answer:

The question doesn't make any sense

Step-by-step explanation:

Answer: It would be 9/5

Step-by-step explanation: Hope this helps ! This was a bit hard for me . Lol

When a dice is rolled the outcomes can be 1, 2, 3, 4, 5, and 6.

It is told that the number is greater than 2 or an odd number.

So the outcomes will be 1, 3, 4, 5, and 6.

1 qualifies because it is odd.

So probability = 5/6

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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Answer:

37.5

Step-by-step explanation:

25÷ 2 is 12.5

so 1/5 of the pitcher is 12.5 ounces

theres 3/5 left to fill in the pitcher

so the answer is 12.5 x 3 which is

37.5

Answer:

Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.

Answer:

864 pieces

Step-by-step explanation:

18 pieces x 48 packs = 864 pieces in 48 packs

Answer:

\(1) \frac{4}{5} - \frac{1}{3} + \frac{2}{9} = \frac{4 \times 9}{45} - \frac{1 \times 15}{45} + \frac{2 \times 5}{45} \\ = \frac{36 - 15 + 10}{45} = \frac{31}{45} \\ \\ \\ 2) \frac{1}{2} - \frac{1}{4} + \frac{1}{8} = \frac{4 \times 1}{8} - \frac{2 \times 1}{8} + \frac{1}{8} \\ \frac{4 - 2 + 1}{8} = \frac{3}{8} \)

Answer:

7 and 8

Step-by-step explanation:

\(7^{2} =49\\\\8^{2} =64\)

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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In linear equation, The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                 The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

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Answer:

Angle b is congruent to angle E

CA=FD

Step-by-step explanation:

If _______, then triangle ABC and triangle DEF are congruent by the ASA criterion.  ASA is angle side angle .  We know angle C= angle F and side CB = side FE We need to know angle B = angle E

If _______, then triangle ABC and triangle DEF are congruent by the SAS criterion.  SAS is side angle side,  we know side CB = side FE  and then angle C= angle F then we need side CA = side FD

If ∠ABC = ∠DEF, then ΔABC and ΔDEF are congruent by the ASA criterion.

If AC = DF, then ΔABC and ΔDEF are congruent by the SAS criterion.

Two figures are said to be congruent of they have the same shape and all the corresponding sides and angles are congruent.

The HL (hypotenuse leg) congruence theorem states that if the hypotenuse and one leg of a triangle is congruent to another triangle, then both triangles are congruent.

In triangle ABC and DEF;

BC = EF and ∠ACB ≅ ∠DFE

Hence:

If ∠ABC = ∠DEF, then ΔABC and ΔDEF are congruent by the ASA criterion.

If AC = DF, then ΔABC and ΔDEF are congruent by the SAS criterion.

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Answer:

(First answer option)

Step-by-step explanation:

General form of an exponential function

\(y=ab^x+c\)

where:

Given exponential function:

\(y=4(10)^x-3\)

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

\(f(x)=b^x\)

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

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The polynomial that is in standard form is: B. \(x^4 - 8x^2 - 16\).

A polynomial that is expressed in standard form is given in such a way that the terms of the expression are written in ordered from from the term with the highest degree, to the term with the lowest degree. The constant comes last in a polynomial that is expressed in standard form.

5 - 2x is not expressed in standard form because it is not properly ordered. The constant needs to come last.

\(x^4 - 8x^2 - 16\) is well ordered, therefore, it is a polynomial that is expressed in standard form.

\(5x^3 + 4x^4 - 3x + 1\) is not well ordered. It is not in standard form.

The answer is therefore: B. \(x^4 - 8x^2 - 16\).

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