what is the constant of proportionality in the equation y=16.41z

Answer:

6,200

Step-by-step explanation:

19-20

307-310

310 x 20= 6,200 or 20 x 310= 6,200

Answer:

x = 18

Step-by-step explanation:

2x/ 3 - 7 = 5 (multiply both sides by 3 to get rid of the 3 under the 2x)

2x - 21 = 15 ( add 21 to both sides)

2x = 36 (divide both sides by 2)

x = 18

HOpe this helps ya!!

The solution to the given inequality is b ≤ 1.

Inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥.

Given inequality expression is,

7 (b - 1) / b ≤ 0

(7b - 7) / b ≤ 0

(7b / b) - (7 / b) ≤ 0

7 - 7/b ≤ 0

Adding 7/b on both sides,

7 ≤ 7/b

Multiplying b on both sides,

7b ≤ 7

b ≤ 1

Hence the value of b is b ≤ 1.

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Answer:

Subtract 6 from both sides and plug 15 back into b to check

Answer:

the answer is A.

you can solve this problem easily by subtracting 21 - 6 and you get your answer. :)

Answer:

10) 3-2i

Step-by-step explanation:

to find the conjugate, you just need to change one of the signs in the expression

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer:

10

Step-by-step explanation:

12x + 20+40 = 180

12x = 120

X = 10

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

Answer:

Step-by-step explanation:

Using A=P(1+r/n)^nt

Where,

P = principal amount (the initial amount you borrow or deposit), in this case $3000

r = annual rate of interest (as a decimal), in this case 0.06

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated after n years, including interest, in this case $21000

n = number of times the interest is compounded per year, in this case 12

     This gives us 21,000=3,000(1+0.06/12)^12t

    After simplification, 7=(1.005)^12t

By taking the logarithm of both sides,

                            Log7=Log1.005^12t

                               12t = Log 7/Log 1.005

                               12t =390.1545

          This gives us 32.5months

The water stream's parabola has the equation y = 48 - (x2)/(20*sqrt(3)), with the vertex at (0, 48) and the point of impact at (10sqrt(3), 0).

The equation of the parabola created by the water stream has a vertex at (0, 48), which is where the pipe ends. It is a quadratic equation. The pipe serves as the middle of the parabola's base, which is symmetrical and has a vertex at that location. The vertex form of a parabola can be used to determine the equation of the parabola, which is y = 48 - (x2)/(20*sqrt(3)). The parabola opens downward, with the highest point at (0, 48) and the lowest point at (10sqrt(3), 0), where the water stream hits the ground, according to the equation. The parabola's vertex and point of impact with the ground are described by the equation for the water's journey.

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The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

We have

3 apples

5 oranges

the ratio is

3 apples / 5 oranges

3/5

Rays: BD, AC, CA, AB. Lines:  AC

A line is a straight path of points that has no beginning or end

A ray is a portion of a line which has one endpoint and extends forever in one direction

Let's put the definitions:

Note: the arrow is an indication no endpoint

So we have ray BD (it starts from the dot at B and the arrow shows it extends forever  in the direction of D)

We have ray AC (it starts from the dot at A and the arrow shows it extends forever  in the direction of C)

We also have ray CA (it starts from the dot at C and the arrow shows it extends forever  in the direction of A)

Then ray AB (it starts from the dot at A and the arrow shows it extends forever  in the direction of B)

Then  line AC (it's bounded by 2 arrows, so it has no endpoint)

Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer

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Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

The solution is, the average cost of nuts is $15.02.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

from the given information we get,

cost of 9 pound b.nuts = $11.99 *9

cost of 13 pound m.nuts = $17.99 *13

cost of 11 pound p.nuts = $13.99 *11

so, total cost = 107.91 + 233.87 + 153.89

                     =495.67

i.e. average cost = 495.67 / 33

                            =15.02

Hence, The solution is, the average cost of nuts is $15.02.

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Answer:

1 and 11/20

Step-by-step explanation:

3/4 + 4/5

= 15/20 + 16/20

= 31/20

= 1 and 11/20

Hope this helped!

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer:

(0,4) is the y intercept for function A

(0,3) is the y intercept for function B

so function A has the greatest y intercept

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

The equation of a line in point-slope form is expressed as;

y - y0 = m(x -x0)

where

m is the slope

(x0, y0) is the point on the line

Given the following parameters

Point (0,8)

Slope from the equation = 3/5

Substitute

y - 8 = 3/5(x - 0)
5(y -8) =3x

5y - 40 = 3x

5y - 3x = 40

Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

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Answer:5

Step-by-step explanation:

"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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Answer:

4/6 is more than 5/12

Step-by-step explanation:

First, set the denominators of the fractions equal to eachother to make it easier to compare.  mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12.  Since 8/12 is more than 5/12, 4/6 is more than 5/12.  

Answer:

5/12 is greater than 4/6

Step-by-step explanation:

using the butterfly method, multiplying 12 x 4 = 48

and 6x5=30  48 is more than  30

48 Stands for 5/12

30 stands for 4/6

she will score 18 goals

Step-by-step explanation:

6×3=18