9
5 points
The equation of the line with m = 5 that goes through (-1, -2) is:
y = 5x - 3
y = 5x + 3
y = 7x + 5

Answer:

-The arrows should be a length of 6

-The arrows should point in the negative direction

-The arrows should start at zero

Step-by-step explanation:

Hope this helps!

Answer:

B

D

E

Step-by-step explanation:

Answer:

51000-48000

= 3000

•: the rate increases from 3000

(4,-8)

Step-by-step explanation:

from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16

The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.

The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.

repoted participation of students, x = 3547

Sample size,n = 5594

Margin of error, E = 1% = 0.01

The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594

= 0.6341

The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is

\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)

= Zα/₂√(1 - 0.6341)0.6341/5594

= 0.0064 Zα/₂

This margin of error also has to be equal to 1% or

0.0064 Zα/₂ = 0.01

=> Zα/₂ = 0.01/0.0064 ~ 1.55

The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,

P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)

= 0.9394 - 0.0606 = 0.8788 = 87.8

Thus the confidence level is 87.88%.

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Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.

Step-by-step explanation:

Answer:

C number of binders because the teacher would have to order binders depending on how many students there are.

Step-by-step explanation:

If what you really mean is an equation showing distance as a function of time,

we have

Answer: 5 1/30

Step-by-step explanation:

Answer:

? = 5 1/30

Step-by-step explanation:

8 4/5 - 2/3 = 8 2/15

8 2/15 - ? = 3 1/10

8 2/15 - 3 1/10 = 5 1/30

Double check:

8 4/5 - 2/3 - 5 1/30 = 3 1/10

Hope it helped!

Answer:

2 m/s

Step-by-step explanation:

Answer:

2m/s²

Step-by-step explanation:

acceleration= v-u/t

=3-1/1

=2m/s²

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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Let X denote the number of claims. If X has a Poisson distribution, then, based on the given information you can write:

Then, by using the Poisson distribution:

you can write:

Now, it is neccesary to determine the solution for λ from the previous equation. Cancel e^-λ both sides, divide by λ^2 both sides and the apply square root and solve for λ:

Now, consider that the variance in a Poisson distribution is given by

σ^2 = λ

Hence, the variance of the number of claims filed is 2

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

Letting L = distance per lap

4L + 8 = 6L + 4

2L = 4

L = 2 miles

She runs 16 miles each day

2 miles per Lap = 8 Laps on Saturday

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

because she wants to double the recipe

so she will need 6 cups of milk

Answer:

10

Step-by-step explanation:

use permutations with repetitions formula

The intercepts for a function can be on either of the two axis, y or x.

when finding the intercepts of x, means that y = 0

when finding the intercepts of y, means that x = 0

finding the x intercepts

since the solution for the square root of -1 has not any solution on the real numbers, we can say that there is no intercept over the x axis.

finding the y intercepts

there are 2 intercepts on the y axis, these are at y=1 and y=-1

information can be proven by graphing the function

Answer:

A total of 119 Specials were sold today.  Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs.  This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold.  Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.

Step-by-step explanation:

a) Data and Calculations:

SPECIAL            NUMBER SOLD  Percentage   COST      Percentage

Huge Burger                20           17%                 $2.95        20%

Baby Burger                 18            15%                 $1.49         10%

Chicken Littles            25           21%                 $3.50         24%

Porker Burger              19            16%                $2.95        20%

Yummy Burger             17            14%                 $1.99         13%

Coney Dog                  20            17%                 $1.99         13%

Total Specials Sold    119          100%               $14.87        100%

Answer:

13 units

Step-by-step explanation:

(8, -4) and (3,8)

To find the distance of two points, we use the distance formula:

\(d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }\)

Let's plug in what we know.

\(d = \sqrt{(3 -8)^2 + (8 - (-4))^2 }\)

Evaluate the double negative.

\(d = \sqrt{(3 -8)^2 + (8 + 4)^2 }\)

Evaluate the parentheses.

\(d = \sqrt{(-5)^2 + (12)^2 }\)

Evaluate the exponents.

\(d = \sqrt{(25) + (144) }\)

Add.

\(d = \sqrt{(169)}\)

Evaluate the square root.

\(d = 13\)

13 units

Hope this helps!

Answer:

12

Step-by-step explanation:

a⋅(a+b)=  c⋅(c + d)                formula

9⋅(9+x)=  3⋅(3+60)

81+9x=3(63)

81+9x=189

-81       -81

9x=108

x=12

Using a graphing calculator,

The graph is shown below

Question 7

From the relationship given

Question 8

To predict when the temperature will be 95°F

Approximately

The number of cans that will be sold will be 900

Answer:

y = (5/4)x - 5

Step-by-step explanation:

(0, -5) and (4, 0)

(x₁, y₁)         (x₂, y₂)

        y₂ - y₁           0 -(-5)        5

m = ------------- = ------------ = ---------

         x₂ - x₁          4 - 0           4

y - y₁ = m(x - x₁)

y -(-5) = (5/4)(x - 0)

y + 5 = (5/4)x - 0

   -5                -5

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

y = (5/4)x - 5

I hope this helps!

Answer:

45 degrees

Step-by-step explanation:

The 4 angles of a quadrilateral will add to 360.

We know 1 of them (angle B) is 90 degrees.

We can set up an equation to solve the others.

2x+3x+x+90 = 360

Now solve for x.

Start by combining the x terms together.

6x+90 = 360

6x = 360-90

6x = 270

(6x/6) = 270/6

x = 45 degrees

Check back to see if that makes sense and if the equation equals 360 when x is 45:

2x+3x+x+90 = 360

2(45)+3(45)+45+90=360.

Answer:

( x - 3) (x + 3)

Step-by-step explanation:

by factorizing and putting the formula

Recall the binomial theorem:

\(\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k\)

a. Let a = b = 1 and n = 8. Then the sum above gives the sum shown here,

\(\displaystyle \sum_{k=0}^8 \binom8k 1^{n-k} 1^k = \sum_{k=0}^8 \binom8k\)

so it reduces to (1 + 1)⁸ = 2⁸ = 256.

b. Let a = 1 and b = -1 and k = 8. Then by the same argument, the sum reduces to (1 - 1)⁸ = 0.

c. Notice that

\(\displaystyle \sum_{j=0}^n \binom n{n-j} = \binom nn + \binom n{n-1} + \binom n{n-2} + \cdots \binom n2 + \binom n1 + \binom n0\)

but this is nearly identical to the sum in part a, with a = b = 1 and arbitrary n, but the order of terms is reversed. Then it reduces to (1 + 1)ⁿ = 2ⁿ.

d. Let a = 1 and b = 2. Then the sum is (1 + 2)ⁿ = 3ⁿ.

Answer:

f(x)=2(3x-1)+2(2x+3)

Step-by-step explanation:

perimeter is 2×length plus 2×width. f(x) means function of x

Answer:

x = -11

Step-by-step explanation:

7 - x = 18

+ x on both sides to cancel the negative one

7 = 18 + x

- 18 on both sides to get rid of the 18

solve:

7 - 18 = x

-11 = x

Answer:

collecting like terms

Step-by-step explanation:

step 1. Shift 7 to the right side

-x = 18 - 7

-x = 11

step 2. divide by -1 both sides

-x/-1 = 11/-1

x = -11

Answer:

a)

\(4ydy = xdx\)

\(2 {y}^{2} = \frac{1}{2} {x}^{2} + c\)

\( {y}^{2} = \frac{1}{4} {x}^{2} + c \)

\( {y}^{2} - \frac{1}{4} {x}^{2} = c \)

b)

c = 4, so

\( {y}^{2} = \frac{1}{4} {x}^{2} + 4\)

\(y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} \)

\(y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} \)

Answer:

1.5lb/ounces

Step-by-step explanation:

Given:

Mass of dry ice Carmen uses  = 12lb

Mass of root beet  = 8ounces

Unknown:

Ratio/Proportional constant for number of pounds to number of ounces of root beer extract  = ?

Solution:

To solve this problem,

    Ratio = \(\frac{number of pounds of dry ice}{Ounce of root beer}\)

    Ratio  = \(\frac{12lb}{8ounces}\)   = 1.5lb/ounces