7TH GRADE MATH NEED ASAP

No, the vectors u and v are not equivalent. The vectors u and v are considered equivalent if they have the same magnitude and direction. To determine if u and v are equivalent, we need to compare their magnitudes and directions.

The magnitude of a vector can be found using the distance formula: ||v|| = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the initial and terminal points of the vector, respectively.

For vector u, the magnitude is ||u|| = √((6 - 0)^2 + (-2 - 0)^2) = √(6^2 + (-2)^2) = √40 = 2√10.

For vector v, the magnitude is ||v|| = √((9 - 2)^2 + (5 - 7)^2) = √(7^2 + (-2)^2) = √53.

Since ||u|| ≠ ||v|| (2√10 ≠ √53), the magnitudes of u and v are not equal, indicating that the vectors are not equivalent.

Furthermore, the directions of the vectors u and v can also be compared by looking at their slopes. However, even if the magnitudes were equal, the difference in slopes would still make the vectors non-equivalent. Therefore, based on both magnitude and direction, we can conclude that u and v are not equivalent.

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Answer:

B Square root of 16

Step-by-step explanation:

B Square root of 16 Is the asnwer because Square root of 16 is 4

While the other options leads to decimals answer. And only number 4 is rational

I hope this helps, dont hesitate to ask for any question.

I hope this helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

\(f(x)=x^4+5x^3-3x-15\)

\(q(x) = (x^3-3)\)

We need to find the polynomial. We know that, Euclid division lemma states that

\(f(x)=q(x)\times g(x)+r(x)\)

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

\(x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5\)

So, the polynomial is (x+5).

Answer: its C

Step-by-step explanation: i just took the test

Answer:

It may be 18 centimeters

The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .

In the question ,

it is given that ,

there are n nickels , d dimes , q quarters .

Also given that there is  twice as many nickels as dimes ,

that means , n = 2d

So , d = n/2

also that total number of coins = 18 ,

So , n + d + q = 18

n + n/2 + q = 18

q = 18 - 3n/2

we need to find ,  n times d times q in terms of the number of nickels.

that means

= n × d × q

= n × n/2 × 18 - 3n/2

= n × n/2 × (36 - 3n)/2

= (n × n×(36 - 3n))/2×2

= n²(36-3n)/4

Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .

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The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Answer: Just draw a line on y axis at -3

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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The solution of the given system of equations is as follows:

x = x y = y z = -4/3x - 10/9y + 68/27

w = -1/147

Let's solve the given system of equations:

4x + 12y - 7z - 20w = 263x + 9y - 5z - 28w = 36

Divide the first equation by 4 and the second equation by 3 we have:

x + 3y - 7/4z - 5/2w = 26/43x + 3y - 5/3z - 28/3w = 12

Now, multiply the first equation by 3 and subtract from the second equation:

3(1x + 3y - 7/4z - 5/2w = 26/4)3x + 3y - 21/4z - 15/2w = 39/4- (3x + 3y - 5/3z - 28/3w = 12)1/3z + 11/3w = 7/4

Now, solve for z:

z = 21w - 28/3By substituting the value of z in terms of w in the first equation we get:

1x + 3y - 7/4(21w - 28/3) - 5/2w = 26/4x + 3y - 147/4w + 7 = 13/2

Multiply both sides by 2, and we get:2x + 6y - 147/2w + 14 = 13

Therefore,2x + 6y - 147/2w = -1/2

Now, solving for w:{147}/{2w}= {-1}/{2}

w = -1/147

By substituting the value of w in the equation x + 3y - 7/4z - 5/2w = 26/4, we get:

1x + 3y - 7/4z - 5/2(-1/147) = 26/4x + 3y - 7/4z + 5/294 = 13/12

Multiplying both sides by 12, we get:12x + 36y - 21z + 5 = 39

Now, solve for z:

z = -{4}/{3}x - {10}/{9}y + {68}/{27}

Hence, the solution of the given system of equations is as follows:x = x y = y z = -4/3x - 10/9y + 68/27w = -1/147

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Answer:

32 black grapes

Step-by-step explanation:

24 green grapes

3:4

24÷3=8

8×4=32

there are 32 grapes

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

60.25%

Step-by-step explanation:

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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The company should not stop the production line, as it is highly unlikely to get exactly 6 baseballs with straight stitching.

To solve this, we need to use the binomial probability distribution to find the probability of getting exactly six out of eight baseballs with straight stitching, given that the proportion of baseballs with straight stitching is 0.938.

The probability of getting exactly k successful outcomes out of n independent trials, where each trial has probability of success p, is given by the formula:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where "n choose k" is the binomial coefficient, which is the number of ways to choose k items from a set of n items.

In this case, the number of independent trials is 8, the probability of success is 0.938, and the number of successful outcomes is 6.

so, P(6) = (8 choose 6) * (0.938^6) * (1-0.938)^2

As we can see, this is a very low probability, so the company should not stop the production line, as it is highly unlikely to get exactly 6 baseballs with straight stitching.

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The financial disadvantage that Premium Paper Corporation would recognize per year if they eliminate the Recipe Cards Division is $30,500.

To determine the financial advantage or disadvantage of eliminating the Recipe Cards Division, we need to compare the contribution margin of the division with the portion of fixed costs that can be avoided.

The annual contribution margin of the Recipe Cards Division is $25,000. However, out of the $75,000 in fixed costs, $19,500 cannot be avoided. This means that if the division is eliminated, only $75,000 - $19,500 = $55,500 of fixed costs can be avoided.

If the division is eliminated, the financial advantage or disadvantage can be calculated as follows:

Financial advantage/disadvantage = Contribution margin - Avoidable fixed costs

Financial advantage/disadvantage = $25,000 - $55,500 = -$30,500

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Answer:

0.20

Step-by-step explanation:

Given : The number of side dishes for the lunch menu =6

The number of ways to select 3 dishes from 6 :

Total outcomes :                    

If applesauce and broccoli is already selected , then we need to select only one dish out of remaining 4 dishes.

Number of ways to select 1 dish from 4 :

Favorable outcomes:  

Now, the theoretical probability that applesauce and broccoli will both be offered on Monday :-

Hence, the theoretical probability that applesauce and broccoli will both be offered on Monday = 0.20

Step-by-step explanation:

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

The difference in perimeters between the two squares is 2 inches.

Here, we have,

To find the difference in perimeters between two squares, we subtract the perimeter of the smaller square from the perimeter of the larger square.

Let's denote the side length of the larger square as S = 3/4 inch and the side length of the smaller square as s = 1/4 inch.

The perimeter of a square is given by the formula: P=4s, where s is the side length.

For the larger square with side length S = 3/4 inch, the perimeter P is:

P = 4 × 3/4

 =3 inches

For the smaller square with side length s = 1/4 inch, the perimeter p is:

p = 4 × 1/4  =1 inch

The difference in perimeters is then:

Difference = P - p

so, we get,

Difference

=P - p

=3−1

=2 inches

Therefore, the difference in perimeters between the two squares is 2 inches.

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Answer:

3.5m

Step-by-step explanation:

Volume of pyramid = lwh÷3

25.77 = [(4.7)² × x] ÷ 3

25.77 × 3 = 22.09x

77.31 = 22.09x

x = 77.31 ÷ 22.09

= 3.49

= 3.5m

Answer:

12+5x (Derrick's Doggie daycare)

3x+18 (Pauline's Pooch park)

Step-by-step explanation:

The correct inequality which can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park is,

⇒ 12 + 5x ≤ 18 + 3x

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting.

And, Pauline's Pooch Park charges $3 per hour plus an $18 registration fee.

Hence, The correct equation for Derrick's Doggie Day Care is,

⇒ 12 + 5x

And, The correct equation for Pauline's Pooch Park is,

⇒ 18 + 3x

Where, x is number of hours

Thus, The correct inequality which can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park is,

⇒ 12 + 5x ≤ 18 + 3x

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The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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Answer: 16/20

Step-by-step explanation:

If ur asking for the sine of angle C

Answer:

Step-by-step explanation:

The domain is

{x|x≥0}

{y|y is all real numbers}

Answer:

X is 2

Step-by-step explanation:

4 - 1 is 3

-10 + 13 is 3

Answer:

112°

Step-by-step explanation:

3x+22+2x+8=180

5x+30=180

5x=150

x=30

3x+22

3(30)+22

90+22

112

The table is an illustration of an exponential function

The equation of the table is \(y = 148 * 0.997^x\)

Given that 1995 corresponds to x = 0, then

The initial value (a) of the function is:

a = 148.0

The equation of the function is:

\(y = ab^x\)

When x= 1, we have:

\(147.6 = ab^1\)

\(147.6 = ab\)

This gives

\(147.6 = 148b\)

Divide both sides by 148

\(b = 0.997\)

Hence, the equation of the table is:

\(y = 148 * 0.997^x\)

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Answer:

\(\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0\)

Or:

\(pm = qn \text{ and } pn + qm \neq 0\)

Step-by-step explanation:

We are given two complex numbers:

\(\displaystyle m + ni \text{ and } p + qi\)

Where m, n, p, and q are real numbers.

And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.

Find the product:

\(\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}\)

Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:

\(\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0\)

In conclusion, the relationship between m, n, p, and q is:

\(\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0\)

Or:

\(pm = qn \text{ and } pn + qm \neq 0\)

(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)

George doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.

From the above question:

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.

Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )

Use the order of operations to simplify this expression.

Using the order of operations we have:

=$ 15 – (9 + 2.65 + 1.35 + 2(1.74) )

= $15 -( 9 + 2.65 + 1.35 + 3.48 )

=$ 15 – (16.48)

= $-1.48

Hence , george doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.

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