Which shows the correct way to convert 5 ounces to pounds?
5 ounces 1 ounce
х
1 16 pounds
5 ounces
1
1 pound
16 ounces
5 ounces 16 ounces
Х
1
1 pound
5 ounces 16 pounds
1
1 ounce
Х

Answer:

28 dollars

Step-by-step explanation:

$45+$5= $50 which is how much she spent it total

then she sells it for $78

so her profit would be $28

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

Answer:

11/15 4/7 2/3

Step-by-step explanation:

Answer:

-2.2

Step-by-step explanation:

If you divide/multiply a positive number by a negative number the product will be negative :)

Hope I helped!

Answer:

-2.2

Step-by-step explanation:

Is the answer

Answer:

252 Cheese Bugers were sold on Thursday

Step-by-step explanation:

378 divided by 3=126

126+126= number of hamburgers

126= number of chese bugers

126+126=252

Answer:

1.

  x = (2,0)

  y = (0,-8)

2.

   x  = (-2,0)

   y  = ( 0, 2)

3.

    x =  ( 4,0)

    y = ( 0, -16)

Step-by-step explanation:

aIll do one equation as an example

f(x) = 4x -8

y = 4x - 8

since its an intercept you know the x, for the y intercept will be zero and vice versa. Its like this cause its on the axis.

So you only need to figure out the y for the y intercept and the x for the x intercept.

- 4x  + y = -8

after changing the equation to standar form you then ignore the x base so, 4x to get the y intercept.

- 4x + y = -8 becomes  y = - 8 then you add the 0 for the coordinate

y = -8 becomes (0,-8)

f(x) = 4x -8

y = 4x - 8

- 4x  + y = -8

 y = - 8

(0,-8)

f(x) = 4x -8

y = 4x - 8

- 4x  + y = -8

-4x = -8

x = 2

(2, 0)

sorry im not really good at explaining lol

can g et a brainliest for effort at least 5 points isnt much

a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

We have,

To find the mean and standard deviation for the first year of the contract, we can use the given information and the properties of the normal distribution.

Given:

The mean salary for professors in the previous year = $62,000

Standard deviation in the previous year = $2,000

Raise in the first year = $1,500

Mean for the first year of the contract:

The mean salary for the first year can be obtained by adding the raise to the previous mean:

Mean = Previous Mean + Raise

Mean = $62,000 + $1,500

Mean = $63,500

The standard deviation for the first year of the contract:

Since each professor receives the same raise, the standard deviation remains the same:

Standard Deviation = $2,000

Therefore, for the first year of the contract, the mean salary is $63,500, and the standard deviation remains $2,000.

Now,

In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract.

To find the mean and standard deviation for the second year, we can use the given information and the properties of the normal distribution.

Mean for the second year of the contract:

To calculate the mean for the second year, we need to add a 3% raise to the mean salary of the first year:

Mean = Mean of the first year + (3% * Mean of the first year)

Mean = $63,500 + (0.03 * $63,500)

Mean = $63,500 + $1,905

Mean = $65,405

The standard deviation for the second year of the contract:

Since each professor receives a raise based on their salary from the first year, the standard deviation also increases. To calculate the standard deviation, we multiply the standard deviation from the first year by the percentage increase:

Standard Deviation = Standard Deviation of the first year * (Percentage Increase / 100)

Standard Deviation = $2,000 * (3 / 100)

Standard Deviation = $2,000 * 0.03

Standard Deviation = $60

Therefore, for the second year of the contract, the mean salary is $65,405, and the standard deviation is $60.

Thus,

a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

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A) The continuous rate of growth of this bacterium population is 45 percent.

B) The initial population of the culture at t=0 is 930.

C) The bacteria that will culture at time t=5 is 8823.59.

A = Pert, where "A" is the ending amount, "P" is the starting amount (principal in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whichever unit was used on the growth/decay rate).

Given,

n(t)= 930\(e^{0.45t}\)

Also given that t is measured in hours.

We know that the equation for continual growth is ,

A= P\(e^{rt}\)

Where A is the final amount, P is the starting amount, and r is the growth or decay rate.

A) From the above equation,

r=0.45

The continuous rate of growth of this bacterium population is 45 percent.

B) At t=0,

n(0)= 930\(e^{0.45(0)}\)

n(0)=930

The initial population of the culture at t=0 is 930.

C) At t=5,

n(5)= 930\(e^{0.45(5)}\)

n(5)= 8823.59

The bacteria that will culture at time t=5 is 8823.59.

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Answer:

Step-by-step explanation:

\(7- \sqrt[3]{2-x} =12\)

we have to just keep in mind to do the same operation to both sides of the equal sign

\(7-7- \sqrt[3]{2-x} =12-7\) ; subtract 7 from both sides

\(- \sqrt[3]{2-x} = 5\) ; multiply both sides by -1

\(\sqrt[3]{2-x} = -5\) ; raise both sides to the power 3

2-x = (-5)³

2-x = -125 ; subtract 2 from both sides

-x = -125-2

-x =-127; multiply both sides by -1

x= 127

Answer:

$20 after the applied coupon

Step-by-step explanation:

The required sale price of the shirt after getting  1/3 off is $20.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A $30 shirt is marked, "Get 1/3 off.
The sale price of the shirt,
= 30 - 1 / 3×30
= 30 - 10
= $ 20

Thus, the required sale price of the shirt after getting  1/3 off is $20.

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Answer:

answer is false in my opinion not sure

Answer:

y=-1/3 x+1

Step-by-step explanation:

Answer:

whenimetyouinthesumma

Step-by-step explanation:

Answer:

78 sodas, 39 hot dogs

Step-by-step explanation:

s= sodas d=hot dogs

s:d = 2:1 = 3

?:? =117

117/3 = 39

2 x 39 = 78, 39 x 1  =39

s:d = 78:39

The area of the shaded region can be obtained by subtraction of the triangle ΔABC from the circular region CAB.

First, for the triangle:

We need to find the length of CH and HB (the height and half of the base of the triangle) in order to calculate the area of the triangle. Using trigonometric functions:

The area of the triangle is given by:

We know that sin(2x) = 2*sin(x)*cos(x). Then:

Now, for the circular region, we have the formula:

Where θ is the central angle and r is the radius. From the problem, we identify:

Using the formula:

Finally, we subtract A_triangle from A_circ:

For the arc length AB, we use the formula:

Using the values for the angle and the radius:

Answer:

Answer:

square grid, square represents area

Step-by-step explanation:

Answer:

FALSE, TRUE, FALSE, FALSE

Step-by-step explanation:

pi/2>2 - FALSE

3pi>9 - TRUE

2pi-1<5 - FALSE

pi+8<11 - FALSE

Answer:

divide the anser in the pasage

Step-by-step explanation:

divide the two numbers

Answer:

\(\boxed{V = 339.12 ft^3}\)

Step-by-step explanation:

V = \(\pi r^2 h\)

Where r = 3, h = 12

V = (3.14)(3)²(12)

V = (3.14)(9)(12)

V = 339.12 ft³

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

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Answer:

\(n \times 12\)

.......

Answer:

Range = {5, 8, 11}

Step-by-step explanation:

On the function f(x) = 3x + 2

For the first domain, when x = 1, f(x) = 3(1) + 2 = 3 + 2 = 5

For the second, when x = 2, f(x) = 3(2) + 2 = 6 + 2 = 8

For the third domain, when x = 3, f(x) = 3(3) + 2 = 9 + 2 = 11

Answer:

A.

Step-by-step explanation:

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.