Mathematics College

please click the image, this is one of my homework questions and I would like guidance, thank you!

Answers

Answer 1

Solution

Let the triangle be

First We will find angle B

Note 1: The sine rule

Using the sine rule

$\begin{gathered} a=12 \\ A=37^{\circ} \\ b=16.1 \\ B=\text{?} \end{gathered}$$\begin{gathered} \frac{\sin A}{a}=\frac{\sin B}{b} \\ \frac{\sin37}{12}=\frac{\sin B}{16.1} \\ \text{cross multiply} \\ 12\times\sin B=16.1\times\sin 37 \\ 12\sin B=16.1\times\sin 37 \\ \sin B=\frac{16.1\times\sin37}{12} \\ \sin B=0.8074351561 \\ B=\sin ^{-1}(0.8074351561)_{} \end{gathered}$

Now, notice that

$\begin{gathered} \sin ^{-1}(0.8074351561)_{}=53.84609085 \\ \text{and} \\ \sin ^{-1}(0.8074351561)_{}=180-53.84609085 \\ \sin ^{-1}(0.8074351561)_{}=126.1539092 \end{gathered}$

Now we return back to

$\begin{gathered} B=\sin ^{-1}(0.8074351561)_{} \\ B=53.84609085 \\ B=54\text{ (to the nearest degr}ees) \\ \text{and } \\ B=\sin ^{-1}(0.8074351561)_{} \\ B=126.1539092 \\ B=126\text{ ( to the nearest degr}ees) \\ Thus, \\ \\ B=54,126\text{ (to the nearest degr}ees) \end{gathered}$

Since we have two values of B, then this measurement produce two (2) triangles

The two triangles will be

We have already computed angle C and C' for the two triangles

The workings is as shown below

Note 2: Sum of angles in a triangle is 180 degrees

$\begin{gathered} For\triangle\text{ABC} \\ 37+54+C=180 \\ 91+C=180 \\ C=180-91 \\ C=89^{\circ} \\ \text{Similarly} \\ For\triangle\text{A'B'C'} \\ 37+126+C^{\prime}=180 \\ 163+C^{\prime}=180 \\ C^{\prime}=17 \end{gathered}$

To find the sides c and c'

First Triangle

$\begin{gathered} For\triangle\text{ABC} \\ u\sin g\text{ the sine rule} \\ \frac{a}{\sin A}=\frac{c}{\sin C} \\ \frac{12}{\sin37}=\frac{c}{\sin89} \\ \text{cross multiply} \\ c\times\sin 37=12\times\sin 89 \\ c=\frac{12\times\sin89}{\sin37} \\ c=19.93664478 \\ c=19.9\text{ ( to the nearest tenth)} \end{gathered}$

Second Triangle

$\begin{gathered} For\triangle\text{A'B'C'} \\ u\sin g\text{ the sine rule} \\ \frac{a}{\sin A}=\frac{c^{\prime}}{\sin C^{\prime}} \\ \frac{12}{\sin37}=\frac{c^{\prime}}{\sin 17} \\ \text{cross multiply} \\ c^{\prime}\times\sin 37=12\times\sin 17 \\ c^{\prime}=\frac{12\times\sin 17}{\sin 37} \\ c^{\prime}=5.829798728 \\ c^{\prime}=5.8\text{ ( to the nearest tenth)} \end{gathered}$

Related Questions

This one might not look familiar yet, but it's very similar to the distance problems you've already seen.

My car gets 22 miles per gallon. How far can my car travel on 8 gallons of gas?

Question 5 options:

0.36 miles

2.75 miles

30 miles

176 miles

Answers

Answer:

176.

Step-by-step explanation:

I will give brainiest!

Answers

Answer:

its the thrid one i think i might be wrong srry

Step-by-step explanation:

Answer:

20/53

Answer number 4

Step-by-step explanation:

There are 20 brown, 16 orange, 4 navy, and 13 purple marbles. A marble is drawn at random. What is the probability the marble is brown?

Let's first add the marbles together.

20+16+4+13=53

there are 53 marbles altogether.

20 of the marbles are brown.

So the probability of drawing a brown marble is 20/53

PLEASE GIVE BRAINLIEST

how to factor z²-4z+4

Answers

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$ {z}^{2} - 4z + 4$

$ = {z}^{2} - 2z - 2z + 4$

Taking "$z$" as common from first two terms and "$2$" from last two terms, we have

$ = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )$

Taking the factor $(z-2)$ as common,

$ = ( \: z - 2 \: )( \: z - 2 \: )$

$ = {( \: z - 2 \: )}^{1 + 1} $

$ = ({ \: z - 2 \: })^{2} $

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}$

A cone has a radius of 6 inches and a Hight 11 inches what is the volume of the cone.

Answers

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices

3:Let f be a quadratic function such thatf(x) = ax +bx+c = a (x-h) + kIf k < 0, for what values of

Answers

Answer:

O a=0

Step-by-step explanation:

3 points
A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater
volume? Use the drop-down menus to explain your answer.
Volume of a Rectangular Prism: V = lwh
Volume of a Cylinder: V = ²h
✓has the greater volume because the choose your answer... V
The choose your answer...
extra space between the two figures.
fits within the
choose your answer....
with

Answers

The rectangular prism has a greater volume than the Cylinder.

Since the rectangular prism has a greater volume than the cylinder because the rectangular prism fully occupies the space within its boundaries, while the cylinder has empty space above and below it.

The cylinder is rounded shape leaves gaps between its curved surface and the boundaries of the rectangular prism.

Therefore, the rectangular prism could hold more volume than the cylinder as it utilizes the entire space within its shape efficiently.

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Which triangle is a reflection of the green triangle

Answers

Tthe triangle that is a reflection of the green triangle is figure 1

Which triangle is a reflection of the green triangle

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

The figures

Where, we have:

Figure 1 and the green figure have the opposite orientationFigure 1 and the green figure have the same size

This means that the triangle that is a reflection of the green triangle is figure 1

Answers

Answer:

696589

Step-by-step explanation:

Answer:

Step-by-step explanation:

I Need help too! Please help as quick as you can

i dont understand questions like these

Answers

Answer:

same

Step-by-step explanation:

What is the coefficient of the second term in this expression?

–

1–2y2

Answers

Answer:

-2

Step-by-step explanation:

Given the expression 1 - 2y²

The second term of the expression is -2y²

The coefficient of the second term is the value attaches to the variable present in the term. The coefficient of -2y² will therefore be -2

which expression is a cube root of -2i?

Answers

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Find all zeros? One zero has been given.

Answers

The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,

x = -1 and x = 1/2 respectively

What is the zeros of a function?

The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

In the given problem, the zero of the function;

f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are

f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0

f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0

f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0

f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0

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The length of the skulls of 10 fossil skeletons of an extinct species of bird has a mean of 5.68 cm and a standard deviation of 0.29 cm. assuming that such measurements are normally distributed.
(a) Find a 95% confidence interval for the mean length of the skulls of this species of bird.
(b) Find a 95% confidence interval for the true standard deviation of the skull length of the given species of bird.

Answers

a) The 95% confidence interval for the mean length of the skulls of this species of bird is (5.35, 6.01) cm.

b) The 95% confidence interval for the true standard deviation of the skull length of the given species of bird is (0.18, 0.40) cm.

(a) To find a 95% confidence interval for the mean length of the skulls of this species of bird, we can use the following formula:

mean ± (t-score * standard deviation / square root of sample size)

Where mean is the sample mean (5.68 cm), standard deviation is the sample standard deviation (0.29 cm), and sample size is the number of skeletons (10).

To find the t-score, we can use the t-distribution table for 9 degrees of freedom (sample size - 1). For a 95% confidence interval, the t-score with 9 degrees of freedom is 1.833.

Plugging in the values, we get:

5.68 ± (1.833 * 0.29 / √(10))

= 5.68 ± 0.33

So the 95% confidence interval for the mean length of the skulls of this species of bird is (5.35, 6.01) cm.

(b) To find a 95% confidence interval for the true standard deviation of the skull length of the given species of bird, we can use the following formula:

standard deviation / √(sample size) * t-score

Where standard deviation is the sample standard deviation (0.29 cm), and sample size is the number of skeletons (10).

To find the t-score, we can use the t-distribution table for 9 degrees of freedom (sample size - 1). For a 95% confidence interval, the t-score with 9 degrees of freedom is 2.306.

Plugging in the values, we get:

0.29 / √(10) * 2.306

= 0.11

So the 95% confidence interval for the true standard deviation of the skull length of the given species of bird is (0.29 - 0.11, 0.29 + 0.11) = (0.18, 0.40) cm.

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I BEG FOR MY LIFE EZ PLS

{{{{{{{PICTURE PROVIDED}}}}}}}}}

Answers

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

The length of a rectangular garden
is (y + 5). The width is (y). Write a
simplified expression to represent
the perimeter of the garden.
Show your Work.

PLS HURRY!!!!

Answers

Answer:

4y + 10

Step-by-step explanation:

Since the perimeter of a rectangle is 2(l + w), where l is the length and w is the width, the perimeter of this rectangle would be

2((y + 5) + y)

To simplify this, just add similar terms inside the parentheses and multiply them both by 2.

2(2y + 5)

4y + 10

Savannah has 62 red peppers and byg green peppers. Write an expression that shows how
many peppers Savannah has.

Answers

Answer:

Oh, no wrong quetion.

Step-by-step explanation:

Answer:

62 + g

Step-by-step explanation:

Find Matrix mixed questions

Answers

The only matrix that is certainly symmetric is a)$(a^2 - b^2).$

We know that a matrix A is symmetric if it is equal to its transpose, that is $A = A^T.$

a) $(a^2 - b^2)$

We can write the transpose of this matrix as

$(a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2$, which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get $(A+B)(A-B) = A^2 - AB + BA - B^2.$

Taking the transpose of this, we get $(A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.$

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get$(ABA)^T = A^T B^T A^T$. Since $A^T and B^T$ may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get $(ABAB)^T = B^T A^T B^T A^T$. Again, since $A^T and B^T$ may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) $(a^2 - b^2).$

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Christina’s savings account grows at a rate of 2% compounded quarterly. If her initial deposit is $750, write a function A(t)
that models the balance of the savings account after t years.

Answers

Answer:

Step-by-step explanation:

A = P * (1 + r/n)^(n*t

The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 750(1.0002)^4t. (in dollars)

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

For this case, we're given that:

Initial amount Christina deposits = P = $750

Rate of interest = 2% compounding quarterly

Time = t years

Rate of interest is compounding quarterly.

Each year has 4 quarters.

Quarterly interest rate compounding quarterly = 2%.

t years has 4t quarters = T

Thus, we get the final amount in Christina’s account as

A = P * (1 + r/n)^(n*t)

A = 750(1 + 0.02/100)^4t

A = 750(1.0002)^4t

Thus, the function that gives the amount of money in dollars, J(t), in Christina’s account t years after the initial deposit is A = 750(1.0002)^4t (in dollars)

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Which statement applies to the transformed function f(x)−4
?

Answers

The function is odd, and the graph would be shifted downward. option(2)

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)

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NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS

Answers

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

How to calculate the value of the missing sides of the given triangle?

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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[50 POINT QUESTION]
FInd the area of the trapezoids.

Answers

Answer:

7.5

Step-by-step explanation:

Take the figure apart to make one rectangle and 2 triangles.

the rectangle with the endpoint T has a width of 3 and a height of 1.

The Area for the rectangle is A = wl = 3 * 1 = 3

The first, smaller triangle with points R and A has a height of 3 and a base of 1.

The Area for the triangle is A = h b/2 = 3 * 1/2 = 1.5

The large triangle with points T and P has a height of 3 and a base of 2.

Using the same formula for the Area of a triangle you get 3

Now add all areas together

3+1.5+3 = 7.5

Enter each answer as a whole number or fraction

$Enter each answer as a whole number or fraction$

Answers

The value of the functions at the limit value of the input variable using the piecewise function graph are;

$\lim\limits_{x\to2^+}\frac{f(x)-1}{f(x + 4)} =\underline{ \frac{1}{6}}$

$\lim\limits_{x\to 1^-}f(f(x) +1) = \underline{5}$

$\lim\limits_{h\to0}\frac{f(6+h)-f(6)}{h} = \underline{2}$

What is the limit of a function?

The limit of a function is the value of the function as the input value approaches the limit.

The graph of the piecewise function indicates that at x → 2⁺ is; f(x) = x

Therefore; f(x) - 1 = x - 1

f(x + 4) = x + 4

$\frac{f(x) - 1}{f(x + 4)} = \frac{x-1}{x + 4}$

$\lim \limits_{x\to2^+}\frac{f(x) - 1}{f(x + 4)} = \frac{2-1}{2 + 4} = \frac{1}{6}$

The piecewise function graph indicates that at x → 1⁻, two points on the graph are; (0, 3), and (1, 4)

The slope of the graph therefore is; (4 - 3)/(1 - 0) = 1

The coordinates of the y-intercept is; (0, 3)

The function equation in slope-intercept form is therefore;

f(x) = x + 3

f(f(x) + 1) = x + 3 + 1 = x + 4

f(f(x) + 1) = x + 4

The limit value is as x tends to 1⁻, therefore;

The value of f(f(x) + 1) at x = 1 is; 1 + 4 = 5

Therefore;

$\lim\limits_{x \to1^-} f(f(x) + 1)$ = 1 + 4 = 5

The points of the function at f(6) are; (5, 2), and (7, 6)

The slope is; (6 - 2)/(7 - 5) = 2

The equation is; f(x) - 2 = 2·(x - 5) = 2·x - 10

f(x) - 2 = 2·x - 10

f(x) = 2·x - 10 + 2 = 2·x - 8

f(x) = 2·x - 8

f(6 + h) = 2·(6 + h) - 8 = 12 + 2·h - 8 = 4 + 2·h

f(6) = 2 × 6 - 8 = 4

f(6 + h) - f(6) = 4 + 2·h - 4 = 2·h

$\frac{f(6 + h) - f(6)}{h} = \frac{2\cdot h}{h} = 2$

$\lim \limits_{h\to0}\frac{f(6 + h) - f(6)}{h} = \frac{2\cdot h}{h} = 2$

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100 POINTS AND BRAINLIEST !!!!! (I need the answer ASAP) A school is planning to construct two rectangular play areas in the playground.

The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.

Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions?

A.
The system has two solutions, and both are viable because they result in positive widths.
B.
The system has only one solution, but it is not viable because it results in a negative width.
C.
The system has two solutions, but only one is viable because the other results in a negative width.
D.
The system has only one solution, and it is viable because it results in a positive width.

Answers

Answer:

Step-by-step explanation:

I'ts just reading the question over and over.

Answer:

The Answer is C

Step-by-step explanation:

I blessed you all and just guessed on the test on Plato/Edmentum and this was the right answer.

Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.
=
V12 + 7108
122 + 1083
42. 33 + 362 - 31
8.32
Which expression can be placed in the blank to correctly complete Ellie's
proof?

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

To know the correct answer to the question, do the following:

√12 + √108

= 12^½ + 108^½

= 4^½ • 3^½ + 36^½ • 3^½

Factorise

3^½ (4^½ + 36^½)

Recall:

4^½ = √4 = 2

36^½ = √36 = 6

Therefore,

3^½ (4^½ + 36^½) = 3^½ (2 + 6)

= 3^½ • 8

The cost that a recycling company charges is directly proportional to the number of recycling bins collected. The cost is $33 for each bin.

A: Write a direct variation equation to represent the cost.
B: How many bins can a customer pay the company to collect the bins for $500? Write and solve the equation.
C: Suppose the customer plans to tip the recycling company $30, how many bins can the customer get removed for $500 now? Write and solve the equation.

Answers

a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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11. You have just been hired as advertising manager of The Daily Chronicle, a not-very- successful newspaper. In the past, The Chronicle contained one-half advertising and one-half news stories. Current industry research indicates a newspaper must have three times as much advertising as news stories to make money. In addition, the advertising must be divided in the following ratio: 5 to 3 to 1, retail advertising to national advertising to classified advertising. The Chronicle is typically 48 pages in length. 1 a) How many pages should be advertising, and how many should be news stories? b) Based on the industry ratios, how should the pages be divided among the three types of advertising? c) After you made the changes in the advertising distributions ratios, your newspaper began making a profit—for the first time in years. If last year’s total advertising revenue was $810,000, how much was earned by each type of advertising? d) When you accepted the job of advertising manager, in addition to your salary, you were promised a 1/50 share of each year’s revenue from retail and classified advertising and a 1/75 share for national. What bonus will you receive for last year’s sales?

Answers

Using proportions, it is found that:

a) 36 pages should be of advertising and 12 pages should be of news stories.

b) 20 pages should be of retail advertising, 12 pages should be of national advertising and 4 pages should be of classified advertising.

c) $450,000 was earned by retail advertising, $270,000 was earned by national advertising and $90,000 was earned by classified advertising.

d) You will receive a bonus of $14,400 for last year's sales.

What is a proportion and what is an example of application?

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

One example of application is for ratio problems, as fractions of the total amount are built from the ratios, as given in this problem.

For item a, we have that three times as much advertising as news stories are needed, hence 3/4 of the 48 pages are advertising, hence:

3/4 x 48 = 0.75 x 48 = 36.

Hence:

The remaining 12 are of news stories.

For item b, from the ratio of 5 to 3 to 1, we have that:

5/9 of the advertising pages should be of retail advertising.3/9 of the advertising pages should be of national advertising.1/9 of the advertising pages should be of classified advertising.

Hence:

5/9 x 36 = 20 pages. -> Retail.3/9 x 36 = 12 pages. -> National.1/9 x 36 = 4 pages. -> Classified

In item c, from the same ratio as above, the advertising values are found as follows:

5/9 x 810,000 = $450,000. -> Retail.3/9 x 810,000 = $270,000. -> National.1/9 x 810,000 = $90,000. -> Classified

For item d, the bonus is calculated as follows:

1/50(450,000 + 90,000) + 1/75(270,000) = $14,400.

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What is the value of -4^2 +(5-2)(-6)?

Answers

Answer:

-34

Step-by-step explanation:

-4^2 + (5-2)(-6)

-16 + (3)(-6)

-16-18

-34

Enola is saving money and plans on making monthly contributions into an account
earning a monthly interest rate of 0.4%. If Enola would like to end up with $5,000
after 3 years, how much does she need to contribute to the account every month, to
the nearest dollar? Use the following formula to determine your answer.

Answers

Enola needs to contribute $4,330.68 per month to the account.

How much does Enola need to contribute to the account?

Let's denote the monthly contribution as X.

The interest rate is 0.4% per month.

Since Enola plans to save for 3 years, the total number of months is:

= 3 * 12

= 36 months.

Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods

We will plug values:

$5,000 = X * (1 + 0.004)^36

X = $5,000 / (1 + 0.004)^36

X = $5,000 / (1.004)^36

X = $4,330.68248

X = $4,330.68.

C =5/9 × (F – 32) What is the answer

Answers

Answer:

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Multiply both sides of the equation by

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to both sides of the equation.

To find the Mass and volume of an irregularly shaped object you will need: Question 2 options: a color chart and a highlighter a ruler and a bathroom scale a graduated cylinder and a triple beam balance a graduated cylinder and a thermometer

Answers

To find the mass and volume of an irregularly shaped object you will need a graduated cylinder and a triple beam

The mass of an irregularly shaped object can be found by dipping such an object in a graduated cylinder filled with water.

The amount of water displaced will be equal to the volume of the object.

To carry out the experiment, we will need the following:

a graduated cylinderWater triple beam

The graduated cylinder is where the water will be poured before the object will be displaced.

We do not need the thermometer since we are taking the temperature of the object. Therefore to find the mass and volume of an irregularly shaped object you will need a graduated cylinder and a triple beam.

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