What's the equation of the line that passes through the points (–8,4) and (0,22)?

[tex]f(x) = 5 \cdot 3^x\\\\\\f(-2) = 5\cdot 3^{-2}\\\\~~~~~~~~~=5\cdot \dfrac 1{3^2}\\\\~~~~~~~~~=\dfrac 59\\\\\text{Hence the answer is D.}[/tex]

Answer:

Answer A

Step-by-step explanation:

Answer:

x = -9, -3

Step-by-step explanation:

[tex] {x }^{2} + 12x + 27 = 0[/tex]

[tex](x + 3)(x + 9) = 0[/tex]

x = -3, -9

Answer:

-3 and -9

Step-by-step explanation:

Standard quaratic form: a² + bx + c = 0

x² + 12x + 27 = 0

find 2 numbers that multiply to 27 (the c-value), but add to 12(the b-value);

The numbers will be 9 and 3, since;

9 x 3 = 27

9 + 3 = 12

Now we can put these numbers in the standard factor form: (x + p) (x + q);

(x + 9) (x + 3) = 0

Now we can set each part equal to 0 and solve;

x + 9 = 0  => x = -9

x + 3 = 0  => x = -3

So the roots are;

-3 and -9

Hope this helps!

Answer:

do addof. old books and new

Given : number -3/4 - and  number line​

To Find :  represent -3/4 - on number line​

Solution:

Numbers with a negative sign are less than zero

Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.

+ sign numbers can be denoted as simply numbers  

On a number line the number increases as we move to the right and decreases as we move to the left.  

1 : Draw a line and mark some points at equal distance on it

Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3  and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on

- 3/4

Divide number line between -1 & 0  in  4 Equal parts and go 3 part left of 0 to show - 3/4 on number line

Credit To: amitnrw for the answer https://brainly.in/question/9136802

The measure of center that would best describe a typical value of the data set is a mean since the values are close.

It should be noted that the measure of center include the mean, median, mode, and the mid-range.

In this case, when there is a close distribution of different numbers, he beta measurement will be the mean.

Therefore, the mean of the numbers will be:

= (20 + 21 + 21 + 25 + 20 + 23 + 27 + 23 + 24 + 25 + 26 + 24 + 23 + 22 + 24)/15

= 348/15

= 23.2

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Answer:

The mean would be best, because the data distribution is nearly symmetrical

Step-by-step explanation:

Answer:D)6

Step-by-step explanation:

Answer:

361

Step-by-step explanation:

it's 361 :)........

Answer:

3.  [tex]\dfrac{4}{3 \pi}[/tex]

Step-by-step explanation:

Volume of a cone:

[tex]V=\dfrac13\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies r=\dfrac14h[/tex]

Therefore, substitute [tex]r=\frac14h[/tex] into the volume formula to find the volume of the cone in terms of h:

[tex]\implies V=\dfrac13\pi \left(\dfrac14h\right)^2h[/tex]

[tex]\implies V=\dfrac{1}{48}\pi h^3[/tex]

Differentiate with respect to h:

[tex]\implies \dfrac{dV}{dh}=3 \cdot \dfrac{1}{48} \pi h^2=\dfrac{\pi h^2}{16}[/tex]

Volume is increasing at a constant rate of 3cm/s:

[tex]\implies \dfrac{dV}{dt}=3[/tex]

Use the chain rule to find [tex]\dfrac{dh}{dt}[/tex]

[tex]\implies \dfrac{dh}{dt}=\dfrac{dV}{dt}\times\dfrac{dh}{dV}[/tex]

[tex]\implies \dfrac{dh}{dt}=3\times\dfrac{16}{\pi h^2}[/tex]

[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi h^2}[/tex]

When h = 6:

[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi \cdot 6^2}=\dfrac{4}{3 \pi}[/tex]

Step-by-step explanation:

125°/360°×π×15²

=245.44cm²

In the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A survey asked students whether they preferred to read on paper (P) or using electronic devices (E).

Based on the survey, if a junior or senior is selected at random. Here,

Thus, the probability that the student prefers to read using an electronic device is,

[tex]P=\dfrac{110}{240}\\P=0.46[/tex]

Thus, in the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.

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Answer:

I would say its B)13.50

Step-by-step explanation:

I say this because he has to buy a ticket for each person continuously so thats why I say this is the constant term added to/ subtracted from the variable term.

Hope this helped! :)

Answer:

I do not understand either

Answer:

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Step-by-step explanation:

no

Answer:

x=-5

Step-by-step explanation:

-12x-7=53

     +7=+7

-12x=60

divide both sides by negative 12

60/-12= -5

so x =-5

The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation with a single variable 'x' is given below.

- 12x - 7 = 53

Simplify the equation, then we have

- 12x - 7 = 53

- 12x = 60

x = 60 / (-12)

x = - 5

The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.

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Answer:

Measure the height of the cushion if you are covering a box cushion. Multiply the width of the cushion by two and the depth of the cushion by two, and add those numbers together to figure out how much fabric you will need to make the sides, front and back of the box cushion. Add 2 inches for seam allowances.

Step-by-step explanation:

Answer:

B: 523.3¯ cm3

Step-by-step explanation:

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 5^3

V = 4/3 * 3.14 * 125

V = 523.333333 cm3

The given expression is equivalent to 2.0x-32.

We have given that

4(0.5x-8)

We have to determine the equivalent expression.

We have to use the distributive property here

a(b+c)=ab+ac

Therefore, by using the distributive property we have,

4(0.5x-8)=2.0x-32

Therefore the given expression is equivalent to the first option

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[tex]\begin{array}{|c|ccccc|} \cline{1-6} x&0&1&2&3&4\\ \cline{1-6} y&2&1&0&-1&-2\\ \cline{1-6} \end{array}[/tex]

to get the slope of any straight line, we simply need two points off of it, hmm from the table let's use hmmm (2 , 0) and (4 , -2)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{-2}{2}\implies -1[/tex]

Step-by-step explanation:

To find the slope, take 2 points from the graph. I'm going to pick (0,2) and (1,1). Whenever we find the slope this way, we need to keep this formula in mind:

[tex] \frac{y2 - y1}{x2 - x1} = slope[/tex]

So, in this case, we need to do this:

[tex] \frac{1 - 2}{1 - 0} = \frac{ - 1}{1} [/tex]

So the answer is -1.

If you need any further explanations, let me know!

Step-by-step explanation:

x = 5

x = -7

x = 18

x = 14

these are the answers, comment if you still have doubts.

Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

The length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles XYT and X'Y'T are similar to the AA Similarity Theorem

[tex]\dfrac{XT}{YT}=\dfrac{X'T}{Y'T}[/tex]

substitute the given values

[tex]\dfrac{8}{YT}=\dfrac{6}{9}[/tex]

[tex]YT=\dfrac{9\times 8}{6}[/tex]

[tex]YT=12\ units[/tex]

Hence the length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.

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Answer:

b

Step-by-step explanation:

took the test