help please! i need this rn
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Answer:

m<Q = 133°

Step-by-step explanation:

From the question given above, the following data were obtained:

m<P = (x + 13)°

m<Q = (10x + 13)°

m<R = (2x – 2)°

m<Q =?

Next, we shall determine the value of x. This can be obtained as follow:

m<P + m<Q + m<R = 180 (sum of angles in a triangle)

(x + 13)° + (10x + 13)° + (2x – 2)° = 180

x + 13 + 10x + 13 + 2x – 2 = 180

x + 10x + 2x + 13 + 13 – 2 = 180

13x + 24 = 180

Collect like terms

13x = 180 – 24

13x = 156

Divide both side by 13

x = 156 / 13

x = 12

Finally, we shall determine m<Q. This can be obtained as follow:

m<Q = (10x + 13)°

x = 12

m<Q = 10(12) + 13

m<Q = 120 + 13

m<Q = 133°

Answer:

£0

Step-by-step explanation:

To calculate the outstanding loan balance for each person after 10 years, we can use the following formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the principal (initial loan amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time in years

For Olivia, we can calculate her outstanding balance after 10 years as follows:

P = £2000

r = 6.5% per year = 0.065

n = 1 (compounded annually)

t = 10 years

A = £2000(1 + 0.065/1)^(1*10) = £3829.71

After paying back £1000, Olivia's outstanding balance would be £2829.71.

For Sadie, we can calculate her outstanding balance after 10 years as follows:

P = £2000

r = 6.5% per year = 0.065

n = 1 (compounded annually)

t = 10 years

A = £2000(1 + 0.065/1)^(1*10) = £3829.71

After paying back £1000, Sadie's outstanding balance would be £2829.71.

To find the difference between Sadie's outstanding balance and Olivia's outstanding balance, we can subtract Olivia's balance from Sadie's balance:

£2829.71 - £2829.71 = £0

Therefore, Sadie does not owe more money than Olivia after 10 years, as both of their outstanding balances are the same at that point in time.

This text describes a scenario where two individuals, Olivia and Sadie, take out a loan of £2000 each at the same time. The loans have a compound interest rate of 6.5% per year. Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods.

Two years after taking out the loan, Olivia pays back £1000, which reduces her outstanding loan balance to £2000 plus accumulated interest. Three years after taking out the loan, Sadie pays back £1000, which also reduces her outstanding loan balance to £2000 plus accumulated interest.

The question asks how much more money Sadie owes than Olivia 10 years after taking out the loan. To solve this problem, we need to calculate the outstanding loan balance for both Olivia and Sadie after 10 years, using the compound interest formula. We can then subtract Olivia's outstanding balance from Sadie's outstanding balance to find the difference.

It's worth noting that the question specifies that the answer should be given in pounds to the nearest 1p, which means we need to round our final answer to the nearest penny.

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The greatest common factor is the largest number that goes into both numbers. In this case, that is 7.

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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Answer:

\(6p - 2q + 4r - 2p + 3s + 5q\)

group the like terms together:

\( = (6p - 2p) + ( - 2q + 5q) + 4r + 3s\)

simplify:

\( = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}\)

Answer:

C

Step-by-step explanation:

Have a nice day

Answer:

Your answer is D.

Step-by-step explanation:

Answer:

The graph that shows y = 4x - 3 is Graph C

Explanation:

In the given graph f(x) = a |x| .

The coefficient ''a'' increases the graph of the function will shrink and it will goes to zero.

And when coefficient ''a'' decreases the graph will expands.

The graph in the option C represents the graph below x-axis and the coefficient of |x| will be negative so it will be least value.

Answer: Option C.

The unit rate would be

(3/4 gal) / (1/5 min)

because the machine is filled with 3/4 gal of water in 1/5 of a minute. Do the arithmetic to get the unit rate of

(3/4 gal) / (1/5 min) = (3/4 • 5) gal/min = 15/4 gal/min

Don's mistake was to multiply 3/4 by 1/5 to get 3/(4•5) = 3/20, but he should have divided by 1/5 instead.

For the function f( x) = 3x- 2 and g( x) = x2, the workout fg( x) is 3x2- 2.

What is function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are inclusively appertained to as the function's sphere and codomain, independently. originally, functions represented the idealized relationship between two changing amounts.

A formula, rule, or legislation that specifies how one variable( the independent variable) and another variable are related( the dependent variable).

Four orders of functions live functions with return values and arguments.

This function accepts arguments and gives back a result.

functions that take arguments but have no return values.

functions with return values and no arguments.

functions that have no arguments or return values.

we are given two function f( x) and g( x);

f( x) = 3x- 2 and

g( x) = x2

So, for fg( x), we've to put value of g( x) into f( x);

Hence, the equation will be;

fg( x) = 3x2- 2.

thus, for the function f( x) = 3x- 2 and g( x) = x2, the fg( x) is 3x2- 2.

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

20 feet.

Step-by-step explanation:

The container is assumed to be a rectangular prism.

The volume would be length × width × height.

l × 10 × 8 = 1600

l × 80 = 1600

l = 1600/80

l = 20

The storage container is 20 feet long.

The length of the storage container is 20 feet long.

Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.

The volume of cuboid is given by -

V{C} = L x B x H

So, we can write -

1600 = L x 8 x 10

80L = 1600

L = 20 feet

Therefore, the length of the storage container is 20 feet long.

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Answer:

27+r

Step-by-step explanation:

Answer:

27 + r

Step-by-step explanation:

The sum of 27 and r is 27 + r

Since 27 + r cannot be simplified, 27 + r is our answer.

Hoped this helped

Answer:

261

Step-by-step explanation:

→ Substitute 2 into g( x )

( 3 × 2 ) + 10 = 16

→ Substitute that answer into f( x )

16² + 5 = 261

Answer:

$153.00

Step-by-step explanation:

A = $1,353.00

(I = A - P = $153.00)

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year.

Solving our equation:

A = 1200(1 + (0.0425 × 3)) = 1353

A = $1,353.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.

Answer:

$153

Step-by-step explanation:

Simple Intrest = P ( money invested ) * R ( percentage ) * T ( year )

I = P * R * T / 100

I = 1200 * 4.25 * 3 = 15300 / 100 = $153

This is the easiest method for me and I hope it helps :)

Answer:

x < 0

Step-by-step explanation:

|120+x| , if x < −120

1. Set |120+x| = 0

2. x < 0

Answer:

|120+x| x<-120 so, -121

|120+(-121)|

l-1l

=1

Answer:

2/3

Step-by-step explanation:

sinθ is opposite/hypotenuse (soh cah toa)

If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. \(3^{2}\)-\((\sqrt{5} )^{2}\) = 4

Square root 4 to find the adjacent leg, 2.

To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.

The radius of convergence is a-R a+R = 6+12 =18 and 6-12 = -6 for the |6x 12/<78 and diverges if |6x 12| 78.

The set of actual numbers x wherein the collection converges is the c program language period of convergence. If there exists a actual wide variety R such that the collection converges for |x−a|R, then R is the radius of convergence.

The radius of convergence is 1/2 of of the duration of the c program language period of convergence. If the radius of convergence is R then the c program languageperiod of convergence will consist of the open c program languageperiod: (a − R, a + R). To discover the radius of convergence, R, you operate the Ratio Test.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

15

Step-by-step explanation:

38=10+13+c

c=38-10-13=15

Hope this helps!

Answer:

146,021,066

Step-by-step explanation:

please give brainiest award.

Step-by-step explanation:

In general, the students increased their standardized math scores from 5th grade to 7th grade.

The students might be more familiar with the exam and they have learned more in their math classes.

The scale factor from Figure A to Figure B will be 1/3.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Figure B is a scaled copy of Figure A.

The scale factor from Figure A to Figure B is given as,

Scale factor = 3 / 9

Scale factor = 1/3

The scale factor from Figure A to Figure B will be 1/3.

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Answer:

x = 22

Step-by-step explanation:

The x Is a number that is greater than the 15.

so you add the 7 and the 15 which gives you 22

22-7 equals 15

Hope this helps

Answer: D. The data are discrete because the data can only take on specific values.

Step-by-step explanation:

Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.

The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.

In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:

Letter D. The data are discrete because the data can only take on specific values.

Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.

An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.

The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.

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The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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