From the information in the diagram, what is mZH?
HURRY PLEASE I NEED HELP ON THIS!!

Answer:

Step-by-step explanation:

Let

'x' the price of the meal

15% of x or 0.15x is the tip

x + 0.15x = 20.70

1.15x = 20.70 divide both sides by 1.15

x = 20.70/1.15

x = $18

0.15*18 = $2.70

The price of the meal without the tip is $18.

The tip was $2.70.

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

22+x = 34

34-22 = x

Answer:

The mean is 70.8.

Step-by-step explanation:

Finding the arithmetic mean, or average, can be found by adding up all the numbers divided by the total count of those numbers.

So, we have :: 60, 67, 71, 76, 80.

These numbers added together = 354.

There are 5 numbers listed.

354 / 5 = 70.8.

IT SHOULD BE 24 IF NOT IM SRRY

Answer:

5.3−6.3+52

=−1+52

=−1+25

=24

Answer:

$18,424.92

Step-by-step explanation:

Assuming this is compound interest, we'll have to use this formula

A = P(1 + r)ⁿ

A = Final amount (100,000)

P = Starting amount (?)

r = Rate (.07)

n = Years (?)

65 - 40 = 25

This means you will save for 25 years, making n = 25

So far, our equation looks like this: 100,000 = P(1.07)²⁵

To isolate the variable, P, divide both sides by 1.07²⁵

100,000/1.07²⁵ = P(1.07)²⁵/1.07²⁵

P = 18,424.917752223962

You would need to set aside around $18,424.92 if you want to accumulate $100,000 in 25 years with 7% compound interest rate.

Given that the two angles form a linear pair, the measure of angle J is 116°.

The sum of angles of a linear pair is always equal to 180°.

Given the data in the question;

Since the sum of angles of a linear pair is always equal to 180°.

Measure of angle R + Measure of angle J = 180°

Plug in the given values and solve for x

(3x - 5) + ( 5x + 1 ) = 180

3x - 5 + 5x + 1 = 180

3x + 5x + 1 - 5 = 180

8x - 4 = 180

8x = 180 + 4

8x  = 184

x = 184/8

x = 23

Now, the measure of angle J is;

Measure of angle J = 5x + 1

Measure of angle = 5(23) + 1

Measure of angle = 115 + 1

Measure of angle = 116°

Given that the two angles form a linear pair, the measure of angle J is 116°.

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Answer:

33.1

Step-by-step explanation:

cos(65)=14/x

x=33.1

Answer:

Each book cost about $6.20 per book, or in more general terms, $6 per book.

Step-by-step explanation:

If you round the $30.85 total of 5 books to $31 and divide that by 5, you get an average cost of $6.20 per book.

If you need a more general answer, you could round the $30.85 total of 5 books to $30 and divide that by 5, you get an average cost of $6 per book.

Answer:

\(\huge\boxed{43 \textdegree}\)

Step-by-step explanation:

We can use basic angle relationships to find the measure of z.

We know that all angles in a triangle will add up to 180°. Since we already know two out of the 3 angles (47° and 90° - right angles are always 90°) we can add those two up and subtract from 180 to find out the missing angle length.

\(47+90=137\\\\180-137=43\)

Hope this helped!

The answers to each part are given below.

Given is that Roberto's telephone company charges him a monthly fee of 100 pesos and 5 pesos for each minute of calls.

{ 1 } -

We can write the function as -

M{t} = 100 + 5t

{ 2 } -

For {t} = 50 minutes -

M{50} = 100 + 5 x 50

M{50} = 350                                          .....{ 1 }

For {t} = 150 minutes -

M{150} = 100 + 5 x 150

M{150} = 850                                                    .... { 2 }

{ 3 } -

200 = 100 + 5t

5t = 100

t = 20                                                    .... { 3 }

Therefore, the answers to each part are given above.

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{Question in english -

Roberto's telephone company charges him a monthly fee of 100 pesos and 5 pesos for each minute of calls. Calculate the function that provides the cost of Roberto's monthly bill based on the number of call minutes.

a) What would be the cost of a month in which you have made 50 minutes of calls? And if it's 150 minutes?

b) If the bill for the month of June was 200 pesos, how many call minutes

did Roberto?

Answer:

...

Step-by-step explanation:

To find the number of calories Davis burns while running for 30 minutes, we can use the information that he burns 1080 calories running for 2.5 hours.

We know that 30 minutes is 1/120 of 2.5 hours. So, we can divide the total number of calories by 120 and we get the calorie burn for 30 minutes:

1080 calories / 120 = 9 calories

The number of calories Davis burns while swimming for 30 minutes can be determined by using the equation y = 266x, where x represents the number of hours he swims. We know that he swims for 30 minutes, or 1/120 hours, so we can plug that value into the equation:

y = 266(1/120) = 2.216 calories

So, Davis burns 7 calories more running for 30 minutes than swimming for 30 minutes, assuming the rates remain constant.

Answer:

220

Step-by-step explanation:

We need to find the 3rd side length

We already know the hypotenuse and one side, so we can use the Pythagorean formula.

101^2 = a^2 + 20^2. A is the third side, and solving for it, we find that it equals 99.

Side 1 = 101

Side 2 = 99

Side 3 = 20

101 + 99 + 20 = 220

Answer:

Step-by-step explanation:

It’s $6.82 I believe

you got to add $2.10 three times and you get $6.30

then divide the 2.10 with the remaining 4 syringes and youll get $6.82

Hope this helped

(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.

Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.

Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.

Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.

Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.

The mean and median are measures of central tendency and do not directly measure variability.

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To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.

We have,

To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.

This will result in the y-terms canceling out, and we will be left with only x-terms on one side of the equation, which we can then solve for x.

So, multiplying the second equation by 2, we get:

2(3x + 4y) = 2(5)

6x + 8y = 10

Now, adding this to the first equation, we get:

4x - 8y + 6x + 8y = 20 + 10

10x = 30

Dividing both sides by 10, we get:

x = 3

Now, we can substitute this value of x back into either of the original equations to solve for y.

4x - 8y = 2

So,

4(3) - 8y = 20

12 - 8y = 20

-8y = 8

y = -1

Therefore,

The solution to the system of equations is (x, y) = (3, -1).

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The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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To solve this, we will folow the steps below:

Let the two numbers be; x and x-19

The question says the sum of the two numbers is 89

That is;

x + (x-19) = 89

x+ x - 19 = 89

2x - 19 = 89

add 19 to both-side of the equation

2x - 19 + 19 = 89 + 19

2x = 108

divide both-side of the equation by 2

2x/2 = 108/2

x= 54

One of the number is 54 and the other number is

x-19 = 54 - 19 =35

The larger number is 54

The smaller number is 35

Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:

p(x) = (x + 1) q(x)

for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:

p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0

So,

0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c

= -5 + 7 - 2 + 3 + c

= c = 3

So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.

Answer:

£1,049

Step-by-step explanation:

The computation of the amount after 5 years is shown below:

Here we have to determined the future value

As we know that

Future value = Present value × (1 + rate of interest)^number of years

=  £950 × (1 + 0.02)^5

=  £950 × 1.02^5

=  £950 × 1.1040808032

= £1,049

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

\(P(-2<Z<2)=95\%\)

Step-by-step explanation:

From question we are told that

Sample mean \(\=x= 47\)

Standard deviation \(\sigma =7\)

Generally the  X -Normal is given as

      \(Z=\frac{x-\=x}{\sigma}\)

      \(Z=\frac{x-47}{9}\)

Analyzing the range

    \(P(47<x<65) = P(0< z<2.00)\)

    \(P(47<x<65) = 95/2\)

   \(P(47<x<65) = 47.5\%\)

Mathematically

\(Z_1 =\frac{47-47}{9} =0\)

\(Z_2 =\frac{65-47}{9} =2\)

Empirical rule shows that

\(P(-2<Z<2)=95\%\)

Answer:

40 chocolates

Step-by-step explanation:

30% *C=12

0.3*C=12

C=40

In that figure, we are informed that value of diameter is 20 feet. Radius would be (Diameter /2)=20/2 = 10 feet.

Circumference of circle = 2πr = 2*π*10=20πfeet =20*3.14 ft = 62.8ft

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

she forgot to Putin a 0 for example

36,042