5th grade math. correct answer will be marked brainliest.

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

Answer:

Step-by-step explanation:

One possible way to represent "8 times h is 24" as an equation using boxes is:

 +---+     +---+

 | 8 |  ×  | h |  =  | 24 |

 +---+     +---+

In this representation, the value of 8 is in the first box, the variable h is in the second box, and the value of 24 is in the third box. Multiplying 8 and h gives 8h, which is the product of the values in the first two boxes. The equation shows that 8 times h is equal to 24, which is the value in the third box.

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

The least restrictive assumption T2 + 0 and T3 # 0

What is structural model?

The items in the system and the static relationships that connect them make up the structural model. Packages or subsystems can be used to divide up groups of items. The structural model is described in object model diagrams. The code that is produced from object model diagrams is described in this section.

It looks like the question you provided contains multiple parts and is discussing the use of instrumental variables (IVs) in regression analysis.

An instrumental variable (IV) is a variable that is correlated with the independent variable in a regression model, but is not correlated with the error term. It is used to estimate the effect of the independent variable on the dependent variable, while controlling for omitted variables that may be correlated with both the independent and dependent variables.

In the question, y2 is the dependent variable, z1 is the endogenous explanatory variable (i.e., the independent variable that is correlated with the error term), and z2 and z3 are the exogenous explanatory variables that are excluded from the model. The reduced form equation for y2 is an equation that expresses y2 as a function of the exogenous explanatory variables and the error term.

The least restrictive assumption we need to impose on the T parameters in order for the instrument y5 to not be perfectly correlated with z1 is T2 + 0 and T3 # 0. This means that the effect of y5 on y2 must not be perfectly correlated with the effect of z1 on y2.

The least restrictive assumption T2 + 0 and T3 # 0

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The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

The height οf the tree stump is apprοximately 56.8 inches.

A cylinder-shaped 3D slide is fοrmed by twο parallel, identical bases cοnnected by a curving surface. These bases are fοrmed similarly tο a disc. A line drawn acrοss the centre οf the twο cοnnected circular bases fοrms the axis οf the cylinder shape.

The letter "h," which stands fοr height, designates the measurement that separates the twο bases as the perpendicular distance. The distance between the centres οf the twο circular bases and their οuter edges is referred tο as the cylinder's radius and is denοted by the letter "r". The cylinder is made up οf a rectangle and twο circles.

Given that the radius οf the tree stump is 37 in and the vοlume is 77415 cubic inches, we have:

V = 77415 cubic inches

r = 37 in

Substituting these values intο the fοrmula fοr the vοlume οf a cylinder, we get:

\(77415 =\pi (37)^2h\)

Simplifying the expressiοn, we get:

\(h = 77415 / (\pi (37)^2)\)

Using a calculatοr and apprοximating π tο 3.14, we get:

h ≈ 56.9 inches

Rοunding tο the nearest tenth, we get:

h ≈ 56.8 inches

Therefοre, the height οf the tree stump is apprοximately 56.8 inches.

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Answer:

--

Step-by-step explanation:

Show all the options please

Not able to see all options

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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To answer this question we're going to need to use the distance formula, which is

d = √((x2 - x1)2 + (y2 - y1)2)

We are given two points:

(x1, y1) = (-2, 1)

(x2, y2) = (-5, 3)

d = √((-5 - (-2))2 + (3 - 1)2)

= √((-3)2 + (2)2)

= √(9 + 4)

= √(13)

≈ 3.6056

Since it says to round to the nearest tenth, the distance between the 2 points is

3.6 units

d=3.6

Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

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The position of the object as it oscillates up and down, with an amplitude of 7 inches and a period of 4 seconds.

The displacement of an object attached to a coiled spring can be modeled using the equation for simple harmonic motion:
d = A * cos(ωt + φ)
where:
- d is the displacement from the rest position,
- A is the amplitude of the motion,
- ω is the angular frequency,
- t is the time in seconds, and
- φ is the phase constant.
In this case, the object is pulled down a distance of 7 inches from its rest position, so the amplitude of the motion, A, is 7 inches.

The positive direction of the motion is up, so the displacement will be positive when the object is above the rest position.
To find ω, we can use the formula for angular frequency:
ω = 2π / T
where T is the period of the motion. The period is given as 4 seconds, so we can substitute it into the equation to find ω:
ω = 2π / 4 = π/2
Finally, we need to determine the phase constant, φ.

The phase constant depends on the initial conditions of the motion.

In this case, the object is released from its pulled position, so we can assume it starts at its maximum displacement and is moving downward.

Therefore, at t = 0, the displacement is equal to the amplitude, A. Substituting these values into the equation, we can solve for φ:
7 = 7 * cos(0 + φ)
1 = cos(φ)
Since the cosine function is equal to 1 when φ = 0, we can conclude that φ = 0.
Putting it all together, the model that relates the displacement d from its rest position after t seconds is:
d = 7 * cos((π/2)t)

d= 4 seconds
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Answer:

a 300 miles

Step-by-step explanation:

4.5 inches = 3×1.5 inches

so

4.5 inches = 3×100 miles = 300 miles

Answer:

<AOB = 112

<AOD = 68

<DOC = 112

Hoped this helped

: )

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Step-by-step explanation:

The main divisions are beak (or bill), head, back, throat, breast, wings, tail, and legs. Many of these regions are divided still further.

Answer:

(Most common) Function evaluated at \(x\) is equal to six times \(x\) minus five

(Alternative) Function in terms of \(x\) is equal to the product of six and \(x\) minus five

Step-by-step explanation:

Let \(f(x) = 6\cdot (x-5)\), there are several form to represent this expression in mathematical term. One of the most common forms is the following:

Function evaluated at \(x\) is equal to six times \(x\) minus five

Another form could be this:

Function in terms of \(x\) is equal to the product of six and \(x\) minus five

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Since we know the sequence is quadratic, we expect the \(n\)-th term to have the general form

\(x_n = an^2 + bn + c\)

Plug in the first 3 known values of the sequence to form a system of equations.

\(x_1 = 3 = a + b + c\)

\(x_2 = 12 = 4a + 2b + c\)

\(x_3 = 25 = 9a + 3b + c\)

Eliminating \(c\) gives

\((4a + 2b + c) - (a + b + c) = 12 - 3 \implies 3a + b = 9\)

\((9a + 3b + c) - (a + b + c) = 25 - 3 \implies 8a + 2b = 22 \implies 4a + b = 11\)

Eliminating \(b\) gives

\((4a + b) - (3a + b) = 11 - 9 \implies a = 2\)

Solving for \(b,c\), we get

\(4a + b = 11 \implies b = 11-4\cdot2 = 3\)

\(a+b+c=3 \implies c=3-2-3 = -2\)

So, the \(n\)-th term of the sequence is

\(x_n = \boxed{2n^2 + 3n - 2}\)

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

D

Step-by-step explanation:

The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.

a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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Answer:

g(x) = (x + 2)^2 + 1

Step-by-step explanation:

From the graph/image that you have provided said translated shift of

f(x) -> g(x)

f(x) = x^2 , g(x) = a(x -h)^2 +k

h is shift right/left

k is shift up/down.

It appears that the shift is left 2 and up 1.

h = -2 and k = 1

g(x) = (x - (-2))^2 +1

g(x) = (x + 2)^2 + 1

Answer:

a. 1,323,002

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule for this dilation is:

Apply this rule to point B(4, 6):

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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