Order of Operation 22-8+2-5+2

Answer:

The tree's height is 142.24 cm.

Step-by-step explanation:

There are 12 inches in a foot. This means that 4 feet equal 4 * 12 = 48 inches. Since there are 8 more inches, you add 8 to 48. The sum is 56. There are 56 inches in 4 feet and 8 inches.

Now, to convert:

56 * 2.54 = 142.24 (inches to centimeters)

The tree's height is 142.24 cm.

Answer:

On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down

Step-by-step explanation:

The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.

The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.

A point in the coordinate plane is represented as (x, y).

The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down

9514 1404 393

Answer:

  65°, 35°, 90°, 115°, 80°

Step-by-step explanation:

There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.

A: 0 or 180

B: 65 or 115

C: 90

D: 145 or 35

E: 180 or 0

__

Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.

arc AOB = 65 -0 = 65°

arc DOE = 35 -0 = 35°

arc AOC = 90 -0 = 90°

arc EOB = 115 -0 = 115°

arc DOB = 145 -65 = 80°

Answer:

Either through decimals or finding common denominators.

Step-by-step explanation:

When you get decimals you can clearly see which is bigger and with common denominators, you can just cancel out the denominator and see which is bigger. If you'd like me to provide an example just let me know :)

Answer:

4

Step-by-step explanation:

To find the rate of change for the increase (warm up), use the coordinate pair of any two points on the line that slopes upwards in the graph.

Let's use the following:

At 5 mins (x), heart beats (y) is 80 => (5, 80)

At 10 mins (x), heart beats (y) is 100 => (10, 100)

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)

\( = \frac{100 - 80}{10 - 5} \)

\( = \frac{20}{5} = 4\)

Rate of change is 4.

Answer: 28-8 is the discounted price of each ticket, and t(28-8) is equal to/ (=)  ----> 24(28-8)

Step-by-step explanation trust me :)

Answer:

2,400,000

Step-by-step explanation:

Answer:

w = 6

Step-by-step explanation:

Based on the midsegment theorem:

ST = 2(PR)

ST = w + 6

PR = w

Plug in the values into the equation

w + 6 = 2(w)

w + 6 = 2w

6 = 2w - w

6 = w

w = 6

The scale factor of the dilation is k = 5/4

Given data ,

A figure with an area of 25 square units is dilated from a figure with an area of 16 square units

Let the dilation scale factor be k

Now , Given that the original area (A) is 16 square units and the target area (B) is 25 square units, we can write the equation as:

B = k² A

k² = 25/16

Taking square roots on both sides , we get

k = 5/4

Hence , the dilation factor is 5/4

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1 trillion to the tenth power is (10¹⁴)¹⁰ or  (10¹³)¹⁰.

So, 1 trillion to the tenth power:

Therefore, 1 trillion to the tenth power is (10¹⁴)¹⁰ or  (10¹³)¹⁰.

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Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Explanation:

A line parallel to the given line will have the same slope: -2

The equation of the line has this form:

To find the y-intercept b we use the point. Replace x = -4 and y = 1 into the expression above and solve for b:

Answer:

The equation of the line is:

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

__

Additional comment

Using b = c +10000, the two remaining equations are ...

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Answer:

A. is the correct answer.

Branliest????

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

(f-g) (x) = 2x²-7x+24-5x²-5x+3

= -3x²-12x+27

(f-g) (2) = -3(2)²-12(2)+27

= -12-24+27

= -9

The mountain biking parks has a total of 48 trails

37.5% of the total trails

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

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:

$46 per hour.

Step-by-step explanation:

Make the equation.

$322 = 7 hours

Divide both sides by the amount of hours.

$322 = 7 hours

/7          /7

$46 = 1 hour

The electrician charges $46 for one hour of work.

The probability that randomly selected person either has high blood pressure or is runner or both is 0.5.

Given:

P(H) = 0.2

P(R) = 0.4

P(H and R) = 0.1

The number of favorable outcomes to all possible outcomes of an event is the ratio, which is known as probability. The number of good outcomes can be represented by the symbol x for an experiment with 'n' number of outcomes. The following equation can be used to determine an event's probability.

Favorable Results/Total Results = x/n, where Probability(Event)

P(H or R) = P(H+P(r)-P(H and R)

= 0.2+0.4-0.1

= 0.5

Hence we get the probability as 0.5

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Answer:

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 3.3 billion years      

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 3.3 billion years

(b) The conditions necessary to use this test is that the data must follow a normal distribution and we know about the population standard deviation.

(c) The value of z-test statistics is 1.77 and the P-value is 0.0768.

Step-by-step explanation:

The complete question is: A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard deviation of 0.4 billion years. (Their ages are approximately normally distributed.) You think the mean age is actually greater, and that this would lend support to an alternative theory about how the clusters were formed. You use a computer to randomly select the coordinates of 50 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.4 billion years.

Suppose you doubt the assumption that the mean age of the stars is 3.3 billion years, but you don't know whether the true mean age is less or greater than 3.3 billion years.

Let \(\mu\) = population mean age of the stars

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 3.3 billion years      {means that the population mean is 3.3 billion years}

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 3.3 billion years      {means that the population mean is different from 3.3 billion years, i.e. the true mean age is less or greater than 3.3 billion years}

(b) The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;

                          T.S.  =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean age of stars = 3.4 billion years

            \(\sigma\) = population standard deviation = 0.4 billion years

            n = sample of stars = 50

The conditions necessary to use this test is that the data must follow a normal distribution and we know about the population standard deviation. And the conditions are satisfied here.

(c) So, the test statistics =  \(\frac{3.4-3.3}{\frac{0.4}{\sqrt{50} } }\)

                                         =  1.77

The value of z-test statistics is 1.77.

Also, the P-value of the test statistics is given by;

                P-value = P(Z > 1.77) = 1 - P(Z \(\leq\) 1.77)

                              = 1 - 0.9616 = 0.0384

For the two-tailed test, the P-value is calculated as = \(2 \times 0.0384\) = 0.0768.

Answer:

Step-by-step explanation:

E is the midpoint of Ac & D is the midpoint of AB

DE = (1/2)BC        {Midpoint theorem}

\(x +1 = \dfrac{1}{2}(4x - 6)\\\\\\ Multiply \ the \ whole \ equation \ by 2\\\\ 2*(x+1) =2*\dfrac{1}{2}*(4x - 6)\)

2*x + 2*1 = 4x - 6

2x + 2 = 4x - 6

Add 6 to both sides

2x + 2 + 6 = 4x

2x + 8 = 4x

Subtract 2x from both sides

8 = 4x - 2x

2x = 8

Divide both sides by 2

x = 8/2

x = 4

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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Answer:

It means acidosis.

Step-by-step explanation:

When the pH level of the human blood is less than 7.35, the condition is known as acidosis.

When the pH level of the human blood is more than 7.45, the condition is known as alkalosis.

The organs which help to regulate the pH of human body is lungs.

Lungs remove the carbon di oxide through breathing or respiration.

Answer:

B

Step-by-step explanation:

The equivalent expression shows the length and the width of the path is (x-10)(x-8).

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.

Given:

A = x² - 18x +80.

Now, factorizing

x² - 10x - 8x + 80

=x(x-10) - 8(x-10)

=(x-8)(x-10)

Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).

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Answer:

alternate angled

Step-by-step explanation:

add up to 180