add or subtract negative numbers​

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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Answer:

5/8

Step-by-step explanation:

5/8 which is in simplest form

Answer:

5/8

Step-by-step explanation:

3/8+1/4 = 3/8+2/8 = 5/8

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

F

(

x

−

x

2

+

4

x

)

=

2

x

4

−

20

x

3

+

56

x

2

−

30

x

−

1

Step-by-step explanation:

I used a calculator

Answer:

1) \(-2<x<-1\) or \(1<x<2\)

2) \(\frac{1}{3} < x < \frac{2}{3}\) or \(\frac{2}{3} < x < 1\)

Step-by-step explanation:

Answer:

yep its D

Step-by-step explanation:

Answer:

D     Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

SOLUTION

The vertex form of a quadratic equation is:

The given vertex is (1,2)

It follows h = 1, k = 2

Substitute the values into the vertex equation

Since the line passes through (3,10) substitute x=3 and y=10 into the equation

This gives

Solve for a

Substitute the value of a into the vertex form equation

The required equation is:

Answer

1 and 29

Step-by-step explanation:

Basically just add them and subtract them by you know the sides a triangle cant be less than the sum of 2 sides

Answer:3.8

Step-by-step explanation:

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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The original price of the bracelet was £1400.

Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.

We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:

original price x (100% - 70%) = sale price

Simplifying the percentage reduction:

original price x 30% = sale price

Substituting the given sale price (£420):

original price x 30% = £420

To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):

original price = sale price / 30% = £420 / 30% = £1400

Therefore, the original price of the bracelet was £1400.

Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

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Answer:

g

Step-by-step explanation:

f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.

We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.

Recall the definition of function inverse:

f(f^(-1)(x)) = x

Then for this function, we have

3 (f^(-1)(x) - 4)² + 5 = x

3 (f^(-1)(x) - 4)² = x - 5

(f^(-1)(x) - 4)² = (x - 5)/3

√((f^(-1)(x) - 4)²)= √((x - 5)/3)

For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with

f^(-1)(x) - 4 = √((x - 5)/3)

and hence the inverse

f^(-1)(x) = √((x - 5)/3) + 4

We would apply the formula for determining the volume of a cone which is expressed as

Volume = 1/3 x pi x radius^2 x height

From the information given,

height = 7 1/2 = 7.5

Diameter = 5 5/8 = 5.625

radius = diameter/2 = 5.625/2

radius = 2.8125pi = 3.14

Thus,

Volume = 1/3 x 3.14 x 2.8125^2 x 7.5

Volume = 62.095

by rounding to the nearest tenth,

Volume = 62.1 cubic inches

The closest measurement is option D

Answer: A.

Step-by-step explanation:

Answer:

A) Null hypothesis;H0: μ ≥ 7

Alternative Hypothesis;Ha: μ < 7

B) t ≈ -1.75

C) 0.025 ≤ p-value < 0.05

D) Do not reject H0 since the p-value is greater than α

E) There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.

Step-by-step explanation:

We are given;

Population mean;μ = 7

Sample mean; x' = 6.7

Sample Standard deviation; s = 2.1

Level of significance; α = 0.01

Sample size; n = 150

A) Now, the hypotheses can be stated as;

Null hypothesis;H0: μ ≥ 7

Alternative Hypothesis;Ha: μ < 7

B) The test statistic will be calculated from the formula;

t = (x' - μ)/(s/√n)

Plugging in the relevant values, we have;

t = (6.7 - 7)/(2.1/√150)

t = -0.3/0.1715

t = -1.7493

t ≈ -1.75

C) From online p-value from t-score calculator attached using t-score of -1.75; DF = 150 - 1 = 149; significance level of 0.01 and one tail, we have;

The p-value = 0.041088

The closest answer among the options is;

0.025 ≤ p-value < 0.05

D) Since the p-value is greater than the significance level of 0.01, thus we will fail to reject the null hypothesis

E) From D above, we will conclude that there is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.

Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

Answer: Hi I will solve this right quick.

Step-by-step explanation:

The equation is \(\frac{4}{9} x^{2} y x(x^{2} -3xy+y^{2} )\)

The answer is this

\(\frac{4y (x^{2} - 3xy +y2) x^{3} }{9}\)

Answer:

\(\dfrac{4}{9}x^{5}y-\dfrac{4}{3}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Step-by-step explanation:

Given expression:

\(\dfrac{4}{9}x^2yx(x^2-3xy+y^2)\)

Distribute:

\(\implies \dfrac{4}{9}x^2yxx^2-\dfrac{4}{9}x^2yx3xy+\dfrac{4}{9}x^2yxy^2\)

Re-order each term to collect like variables:

\(\implies \dfrac{4}{9}x^2x^2xy-\dfrac{4 \cdot 3}{9}x^2xxyy+\dfrac{4}{9}x^2xy^2y\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

(Remembering that a = a¹)

\(\implies \dfrac{4}{9}x^{2+2+1}y-\dfrac{12}{9}x^{2+1+1}y^{1+1}+\dfrac{4}{9}x^{2+1}y^{2+1}\)

\(\implies \dfrac{4}{9}x^{5}y-\dfrac{12}{9}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Reduce 12/9 to 4/3:

\(\implies \dfrac{4}{9}x^{5}y-\dfrac{4}{3}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

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Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

Answer:

more information

Step-by-step explanation:

After dilation the size of an object can increase or decrease but its shape remains the same. The diameter of the dilated graphic in inches is 768. Therefore, none of the options is correct.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Given that,

The diameter of circular banner is 4 feet,

And, the scale factor is 16.

Since the scale factor is defined as the ratio of the dimension.

For circle it can be written as,

Scale factor = New diameter ÷ Original diameter

=> 16 = New diameter ÷ 4

=> New diameter = 16 × 4

=> New diameter = 64

Thus, the new diameter is 64 feet.

Since 1 feet = 12 inches

64 feet is equal to 64 × 12 = 768 inches.

Hence, the diameter of the dilated graphic is 768 inches.

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Answer:

mhm

Step-by-step explanation:

that is right

Answer:

2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.

Step-by-step explanation:

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

Answer:

\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.

Step-by-step explanation:

Darren needs approximately 49 feet of tape.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

P = 2(L + W)

P = 2(10 + 8)

P = 2(18)

P = 36 feet.

In Mathematics and Geometry, the perimeter of a semicircle can be calculated by using this mathematical equation:

P = 2(π × radius)

P = 2(3.14 × 8/4)

P = 2(6.28)

P = 12.56 feet.

Approximate length of tape = 12.56 feet + 36 feet

Approximate length of tape = 48.56 ≈ 49 feet.

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Missing information:

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

Answer:

hello, I think I classify as a real person

Step-by-step explanation:

I'm 99% sure

Answer:

hello do you remember me from that one post with the sonic art?

Step-by-step explanation: