8 (4 x 2.3)

A 8 x 2.3

B 4 x 2.3

C 8 x 9.2

D 8 x 4

Answer/Step-by-step explanation:

From the middle go left, stop between -4 and -5, then go up and stop between 2 and 3,

Answer:

(a) y = 4x - 15

(b) y = (-1/4)x + 2

Step-by-step explanation:

The slope-intercept equation form for a line is
y = mx + b

Here m is the slope (rise/run) and b is the y-intercept ie the y-value at which the line crosses the y axis at x = 0. Drawing a picture helps

If two lines have the same slope, they are parallel
If another line has slope -(1/m) then  it is perpendicular to the line with slope m

First convert the line equation into slope-intercept form as follows
8x - 2y = 1

Subtract 8x from both sides ==> -2y = 1- 8x
Multiply both sides by -1 ==> 2y = 8x - 1

Divide both sides by 2:
y = 4x - 1/2

Parallel line

y = 4x - 1/2

A parallel line should also have slope = 4

So it's equation will be of the form
y = 4x + b

To determine b, the y intercept, plug in values for x = 4, y =1 ad solve for b
1 = 4(4) + b ==> 1 = 16 + b ==> b = -15

So the equation of a line parallel to 8x - 2y = 1 passing through (4,1) is
y = 4x - 15   (Answer a)

Perpendicular Line

A perpendicular line to y = 4x - 1/2  should have the negative of the reciprocal of the slope
So the slope of the perpendicular line is -(1/4)

Equation is

y =  -(1/4)x  + b

Plug in the point values for (4, 1) to get
1 = - (1/4)(4) + b

1 = -1 + b

b = 2

So the equation of a line perpendicular to 8x - 2y = 1 passing through (4,1) is y = -(1/4)x + 2

Answer:

Step-by-step explanation:

The upper bound is the highest number that a figure can be to be rounded off to the rounded figure.

The lower bound is the lowest number that a figure can be to be rounded odd to the rounded figure.

The lower bound of 860 to the nearest 10 is;

= 855 kg

855 is the lowest figure that can be rounded up to 860.

The Upper bound is;

= 865

865 is the highest figure because no figure above this can be rounded to 860.

855 kg ≤ 860 kg < 865 kg

the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.

We are given an expression:

x² - x + y²

We need to find the value of the expression for x = 5 and y = - 2.

Now, substituting the values of x and y in the expression that is given to us, we get that:

x² - x + y²

( 5 )² - ( 5 ) + ( - 2 )²

Solving the squares of the numbers, we get that:

25 - 5 + 4

Simplifying to get the value of the expression, we get that:

= 24

Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.

Learn more about expression here:

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The integrand is odd.

[tex]f(x) = \dfrac{x^3 + 4x}{x^4 + 5} \implies f(-x) = \dfrac{(-x)^3 + 4(-x)}{(-x)^4 + 5} = \dfrac{-x^3-4}{x^4+5} = -f(x)[/tex]

The integral of an odd function over a symmetric interval is zero, so

[tex]\displaystyle \int_{-4}^4 \frac{x^3+3x}{x^4+5} \, dx = 0[/tex]

This is because

[tex]\displaystyle \int_{-a}^a f(x) \, dx = \int_{-a}^0 f(x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = -\int_0^{-a} f(x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = \int_0^{-a} f(-x) \, dx + \int_0^a f(x) \, dx \\\\ ~~~~ = -\int_0^a f(x) \, dx + \int_0^a f(x) \, dx = 0[/tex]

where we substitute [tex]x\mapsto-x[/tex] in the second-to-last equality.

Answer:

for what reason? lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

mark at y2 and 2x

Answer:

7:55

Step-by-step explanation:

Answer:

1.06

I hope this helps :D

Answer:

y=[tex](x-10)^{2}[/tex]+3

Step-by-step explanation

in order to shift the equation to the right you must subtract a positive number from x (ex: -10)

to shift the equation upwards just add the positive number to the end of the equation (ex: +3)

Answer:

D. 32

Step-by-step explanation:

[tex] {4}^{ - 1} \times ( {2}^{3} \div {4}^{ - 2} )[/tex]

[tex] {2}^{ - 2} \times ( {2}^{3} \div {2}^{ - 4} )[/tex]

[tex] {2}^{ - 2} \times {2}^{7} [/tex]

[tex] = {2}^{5} = 32[/tex]

Answer:

13.7 feet

Step-by-step explanation:

The ladder and the building will form a right triangle with the ladder's length is hypotenuse

so if a is the height of the building

c^2 = a^2 + b^2

(15)^2 = a^2 + (6)^2

225 = a^2 + 36

a^2 = 225 - 36 = 189

a = √(189 = 13.7

Answer:

$5

Step-by-step explanation:

We can solve this using a system of linear equations. The equations are written like this:

3v + 9d = 75

5v + 10d = 100 (25 more than Dawn's total is 100)

V represents video games and d represents DVDs.

Let's isolate a variable, I'm going to isolate v in the first equation:

3v = -9d + 75

v = -3d + 25

Now that we isolated v we can plug it in to the second equation:

5(-3d + 25) + 10d = 100

-15d + 125 + 10d = 100

-5d + 125 = 100

-5d = -25

d = 5

Therefore, each DVD cost $5.

Check:

3v + 9(5) = 75

3v + 45 = 75

3v = 30

v = 10

5(10) + 10(5) = 100

50 + 50 = 100

100 = 100

I hope this helps!!

- Kay :)

Answer:

[tex] \sf \rho \: = 1.25[/tex]

Step-by-step explanation:

Density, is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume:

[tex]{\displaystyle \rho ={\frac {m}{V}}} [/tex]

where ρ is the density, m is the mass, and V is the volume.

[tex] \sf \rho = \frac{750}{600} [/tex]

[tex] \sf \rho \: = 1.25[/tex]

Therefore, density is equal to 1.25

Answer: 91 crate

Step-by-step explanation:

weight preloaded=

14500

weight per crate=

120

weight capacity=

25500

Method 1 (Unwinding):

weight of all crates=

weight capacity−weight preloaded

=

=

25500−14500

=

11000

number of crates=

weight per crate

weight of all crates

=

=

120

11000

=

91.666666...

Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.

Method 2 (Algebra):

c= number of crates

The greatest weight means less than 25500 kilograms can also be loaded into the container, so we will use the \leq≤ ("less than or equal to") symbol:

120c+14500≤

25500

−14500=

−14500

\color{red}{120}c\leq

120c≤

11000

120

11000

Divide both sides by 120

c ≤ 91.666666...

Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.

Answer:

JL = 70

Step-by-step explanation:

A histogram is a representation of the frequency distribution of a given data point of one variable on a graph.

The number of members for different ages.

16 - 20 = 6 members

21 - 25 = 2 members

26 - 30 = 10 members

31 - 35 = 3 members

The number of members 30 years and younger is 18 members.

A histogram is a representation of the frequency distribution of a given data point of one variable on a graph.

We have,

From the graph, we see that,

Number of members for different ages.

16 - 20 = 6 members

21 - 25 = 2 members

26 - 30 = 10 members

31 - 35 = 3 members

Now,

The number of members 30 years and younger

= 6 + 2 + 10

=  18 members

Thus,

16 - 20 = 6 members

21 - 25 = 2 members

26 - 30 = 10 members

31 - 35 = 3 members

The number of members 30 years and younger is 18 members.

Learn more about histograms here:

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Answer:

Step-by-step explanation:

Let x = the fee and let y = the cost per quart of oil

x + 5y = 22.45

x + 7y = 25.45     Multiply this equation by (-1) and add it to the 1st equation

-x -7y = -25.45

x + 5y = 22.45

     -2y = -3

        y = $1.50 /quart

x + 5(1.50) = 22.45

     x + 7.50 = 22.45

                 x = $14.95   is the basic fee

Answer:

2 maps, name noah, imp 2, color white, orange and yellow

Step-by-step explanation:

Answer: X or SR = 3.6

Step-by-step explanation: Simply divide TP and EA or one of each similar segments to get a number. Which 4.8 / 4 = 1.2 Then multiply this number by 3 to get your answer of x which is 3.6

Step-by-step explanation:

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 35000

Alternative Hypothesis, Ha: μ < 35000

Test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (33450 - 35000)/(5978/sqrt(50))

z = -1.83

P-value Approach

P-value = 0.0336

As P-value >= 0.02, fail to reject null hypothesis.

There is not sufficient evidence to conclude that the average College tuition for a law degree costs at least thirty five thousand dollars.

Answer:

me

Step-by-step explanation:

Answer:

0.46 ( i didn’t want to calculate the whole thing because it repeats) or 6/13

Step-by-step explanation:

12 over 26 = 6 over 13

6 over 13 is 0.46

Answer:

Diplo, Lil Pump, French Montana

2

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Number Rounded to Nearest Whole Number

4.645 5

5.645 6

6.645 7

7.645 8

8.645 9

9.645 10

10.645 11

11.645 12

12.645 13

13.645 14

Answer:

D. d = -3

Step-by-step explanation:

14 + 6d = -4

14 + 6(-3) = -4

14 -18 = -4?

Correct :)

Answer: 8

Step-by-step explanation: Add up the angles that do not include x.

Subtract 180 by 132, which equals 48.

7x-8=48
Remove -8 by adding 8 to 48.
7x=56
Divivde 7x by 7 on both sides
x=8