Identify the terms and like terms in the expression.
z + 8 - 4z​

The linear equation that gives the height on the x-th month is:

y = 2.5*x + 74.5

This will be modeled with a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that for a line with the points (x₁, y₁) and (x₂, y₂), the slope is given by:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

Here we have the two points (3, 82) and (7, 92). Where the first value is the number of months and the second value is the height.

So the slope is:

\(a = \frac{92 - 82}{7 - 3} = 10/4 = 2.5\)

Then the linear equation is:

y = 2.5*x + b

To get the value of b, we use the fact that when x = 3, we have y = 82,

82 = 2.5*3 + b

82 = 7.5 + b

82 - 7.5 = b = 74.5

Then the linear equation is:

y = 2.5*x + 74.5

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The measure of the obtuse angle is 128°.

A right trapezoid is a trapezoid having two right angles.

Given that, the shape of the window is a right trapezoid,

In a trapezoid, the two adjacent angles are consecutive, so are supplementary.

Let the obtuse angle be x,

x + 52° = 180°

x = 128°

Hence, The measure of the obtuse angle is 128°.

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The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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Answer:

C

Step-by-step explanation:

Since the question is asking for surface area and the dimensions are multiplied by 10, the surface area is multiplied by 10^2, or 100. (For area it would be 10^3, or 1000)

The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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The provider has prescribed ibuprofen 800 mg po tid. the unit dose is 400 mg tablets.6 tablets will be administered to the client.

To calculate the number of tablets that will be administered to the client when the provider has prescribed ibuprofen 800 mg po tid and the unit dose is 400 mg tablets, the following steps can be used:

Step 1: Determine the total daily dose

To determine the total daily dose, the 800 mg dose prescribed three times daily can be added up.

800 mg + 800 mg + 800 mg = 2400 mg/day

Step 2: Calculate the number of tablets needed to achieve the daily dose

The total daily dose can be divided by the strength of the tablet to determine the number of tablets needed to achieve the daily dose.

2400 mg/day ÷ 400 mg/tablet = 6 tablets/day

Therefore, 6 tablets will be administered to the client.

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Answer:

Step-by-step explanation:

The scale is:

Given:

Converted to ratio it is:

Correct choice is A

Now

\(\\ \sf\longmapsto \dfrac{1}{4}=\dfrac{5}{x}\)

\(\\ \sf\longmapsto \dfrac{1}{5}=\dfrac{4}{x}\)

Option A is correct

We will solve as follows:

*525 is the 75% of:

So, 525 is 75% of 700.

*The percent equation is:

*The value of x is:

9514 1404 393

Answer:

  26.6°

Step-by-step explanation:

The tangent of the elevation angle is the ratio of rise to run:

  tan(angle) = 150 ft/(300 ft) = 1/2

Then the angle is the arctangent of this value:

  angle = arctan(1/2) ≈ 26.6°

The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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The circle can be traversed in a counter-clockwise direction using x=2cos(t) and y=2sin(t) with t=[0,2π], in a clockwise direction using x=2sin(t) and y=2cos(t) with t=[0,2π], and the front half in a clockwise direction using x=2sin(t) and y=2cos(t) with t=[0,π].

For (a) a single, complete traversal of the circle in a counter-clockwise direction, we have the parametrization x=2cos(t) and y=2sin(t). This parametrization will restrict the variable t to a range of t=[0,2π] as t increases, it will travel around the circle in a counter-clockwise direction.

For (b) a single, complete traversal of the circle in a clockwise direction, we have the parametrization x=2sin(t) and y=2cos(t). This parametrization will restrict the variable t to a range of t=[0,2π] as t increases, it will travel around the circle in a clockwise direction.

For (c) a clockwise traversal of the front half of the circle (i.e.x>0), we have the parametrization x=2sin(t) and y=2cos(t). This parametrization will restrict the variable t to a range of t=[0,π] as t increases, it will travel around the front half of the circle in a clockwise direction.

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Answer:

Step-by-step explanation:

The required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system. which is the correct answer would be an option (A).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The video game system will cost at least $450.

He earns $6 per hour babysitting and $10 per hour tutoring.

Let x be the number of hours babysitting and y be the number of hours of tutoring.

According to the given situation, we can write the inequality would be as:

⇒ 6x + 10y ≥ 450

Rearrange the terms of variables in the above inequality,

⇒ 10y ≥ 450 - 6x

Divided by 10 into both sides of the above inequality,

⇒ 10y/10 ≥ 450/10 - 6x/10

⇒ y ≥ 45 - 0.6x or

⇒ y ≥ - 0.6x + 45

Thus, the required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system.

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Answer:

Y=7

Step-by-step explanation:

Given -

To find -

Solution -

Here, we'll put the value of force and mass in the formula F = MA for calculating the value of Acceleration (A).

→ 75 = 50 × A

→ A = 75/50

→ A = 1.5 m/s².

Therefore, the acceleration will be 1.5 m/s².

From the graph of miles driven and pricing, it can be observed that for 200 miles option A price is $100 and option B price is $70.

So option A cost more than option B.

Determine the difference between $100 and $70 to obtain how much option A cost more than option B.

So option A cost $30 more than option B.

From the graph, it can be observed that lines of option A and option B intersect each other at (50,40). So option A and option B cost same for 50 miles.

The number of gallons required for 280 million cars is 1,555,556 gallons.

Given that, 1 ton makes 90 cars, there are 280 million cars needed

and 1 ton = 500,000 gallons of water.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of gallons of water needed for 280 million cars be x.

Now, 90 : 500,000 :: 280 : x

⇒ 90x=500,000 × 280

⇒ x = 14,00,00,000/90

⇒ x = 1,555,555.555≈1,555,556 gallons

Therefore, the number of gallons required for 280 million cars is 1,555,556 gallons.

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The exponential function that models the relationship is:

g(x) = 8 * (2.5)^x

To model the relationship described, we can write the exponential function as:

g(x) = a * b^x

Given that the dependent variable is multiplied by 2.5 for every 1 unit increase in the independent variable, we have:

2.5 = b^1

Solving for b, we find that b = 2.5.

Now, we can substitute the value of x = 0 into the equation and solve for a:

8 = a * (2.5)^0

8 = a * 1

a = 8

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The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Answer:

x = 30°

Step-by-step explanation:

l₁ // l₂ and t is transversal. So, corresponding angles are congruent.

         3x - 10 = 2x + 20

Add 10 to both sides,

              3x  = 2x + 20 + 10

             3x  = 2x + 30

Subtract 2x from both sides,

       3x - 2x = 30

               x = 30°

Answer:

Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60

Step-by-step explanation:

The probability that you are randomly assigned a general practitioner or a doctor under the age of 50 is 10/17 or 0.588.

We can find the probability by using the formula for the union of two events:

P(general Practitioner or Under 50) = P(General Practitioner) + P(Under 50) - P(General Practitioner and Under 50)

We know the number of doctors who are general practitioners (6), the number of doctors who are under 50 (7), and the number of doctors who are both (3). So, we can find the probabilities as follows:

P(General Practitioner) = 6/17

P(Under 50) = 7/17

P(General Practitioner and Under 50) = 3/17

Substituting these values into the formula, we get:

P(General Practitioner or Under 50) = 6/17 + 7/17 - 3/17

= 10/17

= 0.588.

So, the probability that you are randomly assigned a doctor under the age of 50 is 0.588.

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Answer: it’s c.3

Hopes this helps. Um... can I please have brainliest

Step-by-step explanation:

Answer:

34°

Step-by-step explanation:

5x+4+5x-1=73

10x+3=73

10x=73-3

10x=70

x=7

m<ABC=5x-1=5(7)-1=35-1=34°

Answer:

Step-by-step explanation:

Answer:

y = \(\frac{5}{4} x - 7\)

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

\(\frac{-4y}{-4} =\frac{-5x +28}{-4}\)

y = \(\frac{5}{4}x -7\)

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

Sarah's company started out with a $350 value and is currently changing at a rate of $100 annually.

The annual fee is expressed as an equation in slope-intercept form:

y = 100x + 350.

y = mx + b, where m is the line's slope and b is its y-intercept, is the formula for a straight line.

Given details:

The table displays the prices that Sarah charged each client during the course of her business's first two years:

Year                            Annual Dog-walking Fee

2010                            $350

2014                            $750

A.

Sarah has so increased the cost by $400 over the past four years.

For Sarah's company, its rate of change called slope will be,

m = 750 - 350 / 4

m = 100

Therefore, Sarah is raising the cost by $100 yearly.

Due to the payment she received for the first year, the calculated values of a business is $350.

B. Define x as the period of time that has passed since she began her business in 2010.

Consequently, the annual fee equation can be expressed in slope-intercept form as,

y = mx + c

where y stands for the cost she must pay after x years.

Her company's baseline value is therefore $350, and its rate of change is $100 annually.

The annual fee is expressed as an equation in slope-intercept form.: y = 100x + 350.

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Answer:

27.94 miles

Step-by-step explanation:

tan 2 degrees = x/800

0.0349(800) = x

x = 27.94 miles

Answer:0.04

Step-by-step explanation:

Answer:

Question 13: is Side-Side-Angel

Question 14:  laws sines.

Question 15: is 1 (which b.)

there my brother tried his best, have a great day TwT