Investment that you bought for__ And sold for __ Made a profit
A.1250;1500
B.1500;1000
C.1250;1000
D.1500;1250

Answer:

x = -32

Step-by-step explanation:

x -(-16) = -28 + 12

x + 16 = - 16

x = -32

So, the answer is x = -32

When the altitude is 7.5 cm and the area is 97 cm², the base of the triangle is changing at a rate of approximately -1.9869 cm/min.

We wish to determine the rate at which the base (b) is changing when h = 7.5 cm and A = 97 cm², given that the altitude (h) is rising at a rate of dh/dt = 1.5 cm/min and the area (A) is rising at a rate of dA/dt = 4.5 cm²/min.

To solve this problem, we can use the formula for the area of a triangle: A = (1/2) x base x altitude.

First, let's differentiate the formula for the area of a triangle with respect to time:

dA/dt = (1/2) x (db/dt) x h + (1/2) x b x (dh/dt).

Now, let's substitute the given values:

4.5 = (1/2) x (db/dt) x 7.5 + (1/2) x b x 1.5.

Next, let's rearrange the equation to solve for db/dt, the rate at which the base is changing:

(db/dt) x 7.5 = 4.5 - 0.75b.

= (4.5 - 0.75b) / 7.5.

Now, we need to find the value of b when h = 7.5 cm and A = 97 cm². We can use the formula for the area of a triangle:

97 = (1/2) x b x 7.5.

Simplifying this equation, we get:

b = (2 x 97) / 7.5.

≈ 25.87 cm.

Now, substitute this value into the equation for db/dt:

db/dt = (4.5 - 0.75 x 25.87) / 7.5.

= (4.5 - 0.75 x 25.87) / 7.5.

= (4.5 - 19.4025) / 7.5.

= (-14.9025) / 7.5.

≈ -1.9869.

The negative sign indicates that the base is decreasing.

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Answer:

I'm pretty sure it's C I may be wrong though

Step-by-step explanation:

Answer:

f(x) and g(x) have the same y-intercept

Step-by-step explanation:

the y-intercept is the point, where the graph intersects the y-axis.

and what is the definition of the y-axis ? it is

x = 0

for all the values up and down the y-axis, their x-coordinate is 0.

so, to find the y-intercept we find the functional value for x = 0.

and that is here in both cases : -32

and the y-intersect point is therefore for both functions:

(0, -32)

Answer:

Step-by-step explanation:

{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.

The length of segment DE in the given triangle is 6 units.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Given that, a right-angled triangle ABC, with a segment DE, where tan B = 3/4, BC = 15 and DA = 4

Since, tan B = 3/4

Cos B = 4/5

Cos B = AB / BC

therefore,

4/5 = AB / 15

AB = 12

BD = AB - AD = 12-4

BD = 8

Now, Tan B = 3/4

DE / BD = 3/4

DE / 8 = 3/4

DE = 6 units

Hence, the length of segment DE in the given triangle is 6 units.

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All subjects or objects whose characteristics are being studied.

In statistics, a population consists of all subjects or objects whose characteristics are being studied. This means that a population can be defined as a group of individuals, objects, or events that have something in common.

For example, if you are conducting a survey on the opinions of people in a city, the population would be all the people living in the city. If you are studying the behavior of cats, then your population would be all cats. In short, the population is the group of individuals or objects that you are interested in studying.

In addition, the population can be further broken down into subgroups, such as males and females, different age groups, geographical regions, and so on. This is known as stratifying the population and can help researchers to better understand the characteristics of their population and make more accurate conclusions.

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The inverse of the function f(x) = \(x^{3}\) is : \(\sqrt[3]{x}\)

The inverse of a function is that function that acts to undo a given function.

Analysis:

if f(x) = x^{3}, then let y = \(x^{3}\)

\(\sqrt[3]{y}\) = \(\sqrt[3]{x^{3} }\)

x = \(\sqrt[3]{y}\)

Replace y with x

h(x) = \(\sqrt[3]{x}\)

in conclusion, the inverse of h(x) = \(\sqrt[3]{x}\)

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The dimensions of a Norman window of maximum area if the total perimeter is 22 feet are: Width of the rectangular part = 11/(4π) feet, Height = 11/(4π) feet and Radius of the semicircle part = (22 - 11/π) / π feet

To find the dimensions of the Norman window of maximum area, we need to use optimization techniques. Let's first define some variables:

- Let's call the width of the rectangular part of the window "w".
- Let's call the height of the rectangular part of the window "h".
- Let's call the radius of the semicircle "r".

From the problem, we know that the total perimeter of the window is 22 feet. That means:

- The perimeter of the rectangular part of the window is 2w + 2h.
- The perimeter of the semicircle part of the window is half the circumference of a circle with radius "r", which is πr.

So we can write an equation for the total perimeter:

2w + 2h + πr = 22

We also know that the area of the window is given by:

A = wh + 1/2π\(r^2\)

Our goal is to maximize A. To do that, we need to express A in terms of just one variable, so we can take the derivative and find the maximum. We can use the equation for the perimeter to solve for one of the variables in terms of the others. For example, we can solve for "r":

r = (22 - 2w - 2h) / π

Now we can substitute this expression for "r" into the equation for the area:

A = wh + 1/2π [(22 - 2w - 2h) / π\(]^2\)

Simplifying this equation, we get:

A = wh + 1/2π (484 - 44w - 44h + 4wh)

To find the maximum of this function, we need to take the partial derivatives with respect to "w" and "h" and set them equal to zero:

∂A/∂w = h - 22/(2π) + 2wh/(2π) = 0
∂A/∂h = w - 22/(2π) + 2wh/(2π) = 0

Solving these equations simultaneously, we get:

w = h = 11/(4π)

Now we can substitute these values into the equation for "r" to find the radius of the semicircle:

r = (22 - 2w - 2h) / π = (22 - 11/π) / π

Therefore, the dimensions of the Norman window of maximum area are:

- Width of the rectangular part: w = h = 11/(4π) feet
- Height of the rectangular part: w = h = 11/(4π) feet
- Radius of the semicircle part: r = (22 - 11/π) / π feet

Note that we could also have used the equation for "r" to solve for "w" or "h" instead, and we would have gotten the same result.

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Step-by-step explanation:

When r = 5 and n = 2

Then

6r + 4n

= 6 * 5 + 4 * 2

= 30 + 8

= 38

Hope it will help :)

Answer:

I believe the answer is 120 cubic yards

Step-by-step explanation:

V = LWH

V = (6)(2)(10)

V = (12)(10)

V = 120

Answer:

b. if dont d cuz I did this one but I kinda forgot

Answer:

Yall its d

Step-by-step explanation:

Because the x value represents the domain which is 1 and the y value represents the range which is 2

1) \(\overline{WX} \cong \overline{UY}\), \(\angle YXZ \cong \angle XYZ\) (given)

2) \(\overline{XY} \perp \overline{XY}\) (reflexive property)

3) \(\triangle WXY \cong \triangle UYX\) (SAS)

4) \(\overline{WY} \perp\overline{ UX}\) (CPCTC)

Answer:

8x + 8 = 6x + 20/3

Step-by-step explanation:

Answer:

x^3 * x^4 = x^7

Step-by-step explanation:

When multiplying numbers with the same base and different exponents the two exponents are added, and the base is kept the same.

Example

x^3= x * x * x

x^4= x * x * x * x

(x * x * x * x) *  (x * x * x) = x^7

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

Answer: B

Step-by-step explanation:

First, let's convert the 5 pints of fruit punch to cups:

5 pints = 5 x 2 cups/pint = 10 cups

Now we can add up the cups of each ingredient:

6 cups of orange juice + 10 cups of fruit punch + 8 cups of apple juice = 24 cups

Since there are 4 cups in a quart, we can divide by 4 to get the number of quarts:

24 cups ÷ 4 cups/quart = 6 quarts

Therefore, Jackson makes 6 quarts of fruit punch.

To find Pedro's exam score, we can use the formula for calculating the z-score:

z = (x - μ) / σ,

where z is the z-score, x is the exam score, μ is the mean, and σ is the standard deviation.

Given that Pedro's z-score was 3, we can rearrange the formula to solve for x:

3 = (x - 68) / 10.

Multiplying both sides of the equation by 10, we get:

30 = x - 68.

Adding 68 to both sides, we find:

x = 30 + 68 = 98.

Therefore, Pedro's exam score was 98.

The z-score measures how many standard deviations an individual's score is above or below the mean. In this case, Pedro's z-score of 3 indicates that his exam score was 3 standard deviations above the mean of 68.

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Answer:

a is the answer

hope this will help you

The general term of each sequence that are given are \(a_{n} = n+2 / 2\) ; nEN for the each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum.

The infinite sequence that are generally number's that doesn't have any ending and are called as the infinite sequence and other that have finite sequence which have final numbers.

Here given infinite sequence are :

\(a1 =1 , a2= 0 , a3= 0 , a4 = 1.\\closed form of infinite sequence is an = 1 and 0 otherwise.\\sequence that s given is 3,2,4,1,1,1 and\\ a1 = 3 , a2 2 , a3= 4, a4= 1.\\an = 3, n =1, a2 = 2, a3 = 4, \\no n= 1, n=2, n=3 1 otherwise\\Given sequence is 1,3,6,10 ,15 \\then an = n+2 /2.\)

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16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6

smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest

Answer:

it should be -8 and -65 you would use parentheses first then you would have the negative integers in it's place

Hu and colleagues (2001) addressed concerns about the lack of random assignment to treatment conditions by using a quasi-experimental design.

In their study, Hu and colleagues (2001) used a quasi-experimental design to examine how organizational citizenship behaviors (OCBs) of bank tellers affect customer service. A quasi-experimental design is a type of research design that lacks the random assignment of participants to treatment conditions, which is a key characteristic of true experimental designs.

To address the concerns about the lack of random assignment in their study, Hu and colleagues (2001) used statistical techniques to control for potential confounding variables and to increase the internal validity of their findings. They also carefully selected their sample of bank tellers and customers to ensure that the groups were as similar as possible, which helped to increase the external validity of their study.

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Answer:

It would be $42.96.

Step-by-step explanation:

Answer:

$42.96

Step-by-step explanation:

24 multiplied by 1.79 equals 42.96

Brainliest pls? Hope it helps :)

have a good day/night

Answer:

900 in^2

Step-by-step explanation:

Triangle area = ( b x h )/ 2

rectangle area = b x h

------------------------------------------

triangle:

30 * 40 / 2 = 600 in^2

rectangle:

30 * 20/2 = 300 in^2

---------------------------------------

600 + 300 = 900 in^2

The function f(x) represents an identity function.

We have a plant that grows one inch every year. X represents how old the plant is (in years) and f(x) is how tall the plant is (in inches).

We have to determine what type of function is f(x).

The equation representing the number of corona cases after 'x' days is -

y = 50x

The nature of this function is Linear.

According to the question, we have -

A plant grow one inch every year.

X is how old the plant is (years).

f(x) is how tall the plant is (in inches).

The equation representing the statement - a plant grow one inch every year can be written as -

f(x) = x

y = f(x) = x

which is a identity function.

Hence, the function f(x) represents an identity function.

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