Given the vectors m==(-2, 3) and n=(-8, 9), find 7m and m+n.Write your answers in component form.7m =Х6?m + n =

Answer:

625

Step-by-step explanation:

250 divided by 2 to figure out how many calories in each piece, then you get 125 and muliply it by 5!

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

Lady Gaga is expected to sing about 10 songs

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Madonna sang a total of 11 songs for a population of 120000 people, the per capita is the ratio of the total songs sang to the total number of people.

Hence:

Madonna per capita = songs performed / population = 11 / 120000

Lady Gaga sang to a population of 109,000 people, therefore:

Lady Gaga per capita = songs performed / population

11 / 120000  = songs performed / 109,000

songs performed = 11/120000  × 109,000

= 9.91

songs performed ≈ 10 songs

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Answer:

a(A) = 0

Step-by-step explanation:

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

Angle 1 = 52

Angle 2 = 60

Step-by-step explanation:

According to exterior theorem, 128 = 68 + angle 2

128 - 68 = angle 2

Angle 2 = 60

128 + angle 1 = 180 because of definition of a straight line

Angle 1 = 180 - 128

Angle 1 = 52

Hope this helps :)

Substitute the expression for y in the second equation into the first equation and solve for x:

4x + 3(-1/3x + 6) = 36

4x - x + 18 = 36

3x = 18

x = 6

Now substitute x = 6 into the second equation to solve for y:

y = (-1/3)(6) + 6

y = 4

Therefore, the solution to the system of equations is the ordered pair (6, 4).

Answer:

2/4 * 40 4/5 * 5/7 = 102/

7

= 14 4/

7

≅ 14.5714286

Step-by-step explanation:

To find a new numerator:

a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/

5

= 200/

5

b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204

c) Write a previous answer (new numerator 204) over the denominator 5.

Forty and four fifths is two hundred four fifths

Multiple: 2/

4

* 204/

5

= 2 · 204/

4 · 5

= 408/

20

= 102 · 4/

5 · 4

= 102/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/

5

.

In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.

Multiple: the result of step No. 2 * 5/

7

= 102/

5

* 5/

7

= 102 · 5/

5 · 7

= 510/

35

= 102 · 5/

7 · 5

= 102/

7

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/

7

.

In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.

Answer:

G

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

The answer is (B) 2

Step-by-step explanation:

I took the test on edge and also the person above me is correct hope that you have a wonderful day. (✿◠‿◠)

Answer: We have to pick a graph that represents a function and its inverse function, or:

The inverse function switches the x and y variables, therefore the axes with it, the final result is two functions that are symmetrical about y = x line.

Example:

Graph:

Therefore the graph out of the options which has these properties is:

The answer, therefore, is Graph(C).

EXPLANATION

The cost for each dount hole is 99cents/4 = 24.75 cents/dount hole

Answer:

please explain with detail

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Just write down the answer.

Answer:

3/5

Step-by-step explanation:

You'll get 0.6 if you divide it

Answer:

3/5

Step-by-step explanation:

5/12 = 0.41666

4/9 = 0.4444

3/7 = 0.4285714

7/13 = 0.538461

3/5 = 0.6

The box that the Theater will make more money from is: Option A: The Jumbo Box.

To determine which box will make the Theater more money, we need to compare the profits from each box. Let's assume that the Theater sells the micro box for $4 and the jumbo box for $8.

First, let's calculate the cost of the materials for each box. The micro box has a volume of approximately 30 cubic inches and a surface area of approximately 70 square inches. So, the cost of the materials for the micro box would be:

Cardboard cost: 70 square inches * $0.002 per square inch = $0.14

Popcorn cost: 30 cubic inches x $0.001 per cubic inch = $0.03

Total cost: $0.14 + $0.03 = $0.17

Next, let's calculate the profit for the micro box:

Profit = $4 (selling price) - $0.17 (cost) = $3.83

Now let's do the same calculations for the jumbo box. The jumbo box has a volume of approximately 210 cubic inches and a surface area of approximately 160 square inches. So, the cost of the materials for the jumbo box would be:

Cardboard cost: 160 square inches x $0.002 per square inch = $0.32

Popcorn cost: 210 cubic inches x $0.001 per cubic inch = $0.21

Total cost: $0.32 + $0.21 = $0.53

Next, let's calculate the profit for the jumbo box:

Profit = $8 (selling price) - $0.53 (cost) = $7.47

Therefore, the jumbo box will make the Theater more money, with a profit of $7.47 compared to the micro box's profit of $3.83.

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Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

3/5

Step-by-step explanation:

Answer: I would say 3 divided by 2 or it would be 3/2.

Step-by-step explanation: Hit me up if i got it right:)

Answer:

3+17=p

p= 20p

Step-by-step explanation:

Answer:   135%

Step-by-step explanation:

percents are parts out of the whole

In this case they want to know 81 is what part of 60.  81 is bigger than 60 so you are going to get something bigger than 100%

81/60

= 1.35

= 135%      move the decimal point over 2 times or multiply by 100

We were told that triangle XAR is similar to triangle MNT. This means that the ratio of their corresponding sides is equal. This means that the ratio of the their areas is also equal.. Looking at the triangles, NT corresponds to AR. Ratio of corresponding sides is

12/8 = 1.5

This means that the ratio of their areas is also 1.5

If the area of XAR is x and the area of MNT is 36, then

x/36 = 1.5

x = 1.5 * 36

x = 54

The area of XAR is 54

Answer:

30%=30/100=3/10

Step-by-step explanation:

3/10*180

Simplify 180 and 10.

3*18=54

The measure of the side length n is equal to 14 for the right triangle.

Considering the larger acute angle, if we represent it by θ then for the bigger right triangle with adjacent m and hypotenuse 28+7= 35;

cosθ = m/35

for the smaller right triangle with adjacent 7 and hypotenuse m

cosθ = 7/m

m/35 = 7/m

m² = 245 {cross multiplication}

m = √245 = 7√5 {take square root of both sides}

(√245)² = 7² + n² {by Pythagoras rule for the smaller right triangle}

245 = 49 + n²

n² = 245 - 49 {collect like terms}

n² = 196

n = √196 {take square root of both sides}

n = 14

Therefore, the measure of the side length n is equal to 14 for the right triangle

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The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

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Answer:

The range is five

Step-by-step explanation:

We can see that the range of this data set is 10-1=9 and that 9≠5.

Answer:

The answer is 5!

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7

The "x" in f(x) is the "x" in the equation

Answer:

The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours.

This means that \(\mu = 600, \sigma = 12\)

What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes?

This is the 1st percentile of lifetimes, which is X when Z has a pvalue of 0.01, that is, X when Z = -2.327.

\(Z = \frac{X - \mu}{\sigma}\)

\(-2.327 = \frac{X - 600}{12}\)

\(X - 600 = -2.327*12\)

\(X = 572\)

The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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