Evaluate the indefinite integral.

Step-by-step explanation:

[tex] = 2(x + 3) + 3(x - 4)[/tex]

[tex] = 2x + 6 + 3x - 12[/tex]

[tex] = 2x + 3x + 6 - 12[/tex]

[tex] = 5x - 6[/tex]

...

Answer:

hope this help you

Step-by-step explanation:

[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]

Answer:

Step-by-step explanation:

Let h be the height of the door

and w be its width

The statement “The height of the door is I foot more than twice its width”

can be translated mathematically like this :  h = 2w + 1

Let’s solve the equation for w:

h = 2w + 1

⇔ 2w = h - 1

[tex]\Leftrightarrow w=\frac{h-1}{2}[/tex]

now , if the door is 7 feet high then it’s width is equal to :

[tex]\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft[/tex]

Answer:

3 feet

Step-by-step explanation:

It mentions that the height of the door is 1 foot more than twice its width.

The width of a door of height 7 feet will be :

Answer:

30%, or 1/3

Step-by-step explanation:

If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.

Hope this helps! :)

Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

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The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.

Because it decreases in value until the minimum value, then it increases again.

After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.

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Divide through the limand by the highest power of t :

[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]

(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)

As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with

[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]

To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.

The rate is equal to distance divided by time. For example,

Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.

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Answer:

A

Step-by-step explanation:

since the triangles are congruent , then corresponding sides are congruent

AC = OD

8x - 6 = 3x + 9 ( subtract 3x from both sides )

5x - 6 = 9 ( add 6 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Answer: 24

Step-by-step explanation: 3*2*2*2=24

You can build 24 sundaes

Answer:

252m^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).

we just plug in the values.

2(12 x 6) + 2(12 x 3) + 2(6 x 3)

= 2(72) + 2(36) + 2(18) then simplify

= 144 + 72 + 36

= 252

Answer:

9p = 54

Step-by-step explanation:

19p = 10p + 54

Subtract 10p on both sides,

19p - 10p = 54

9p = 54

Step-by-step explanation:

my dear this is very very simple

you can definitely solve it by yourself.

just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.

19p = 10p + 54

so grouping like terms:

10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign

so we have,

19p -10p = 54

since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)

so we get:

9p = 54 ( 9 apples = 54)

option (A)

Hope this helps.

Ace that assignment.

Good luck ✅.

you're super free to ask any further questions okay.

The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we can see in the table, data is given, we can plot it in the graph by using the scale factor.

On the x-axis, scale: 1 unit = 1 week

On the y-axis, scale: 1 unit = 150 minutes

On the y-axis, 2 units = 300 minutes

On the y-axis, 3 units = 450 minutes

Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

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Answer:

true

Step-by-step explanation:

Answer:

5,790.0425

Step-by-step explanation:

Answer:

12/5 hours

Step-by-step explanation:

Let the total area to be painted be X

Let S be the rate at which Sally paints and J be the rate at which Joe paints

We have:
X/S = 4 hours (1)

X/J = 6 hours (2)

(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)

From (3) and (4)
J/S = 2/3 or J =2/3 × S

If they both paint at the same time time taken is

X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours

Answer:

C

Step-by-step explanation:

Answer: B

Step-by-step explanation:

    This equation is in y = mx + b form, also known as slope-intercept form.

   First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.

   Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.

Learn about writing slope-intercept equations here:

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Answer:

0,9917

Step-by-step explanation:

3.2 - 1.09 = 2.11

2.11 multiplied by 0.47 = 0.9917

Step-by-step explanation:

remember (always remember) : a probability is desired cases divided by total possible cases.

what is our total here ?

1388 students at this school

what are our desired cases here ?

every student, who bikes to the school : 207

so, the probability that a randomly picked student is biking to the school is

207/1388 = 0.149135447...

so, b. is the right answer.

please let me know what is not clear to you.

we solved now many probability questions together, but this is very, VERY basic, and you could not do it.

so, what is not "clicking" with you ? what do you need explained ?

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

Answer:

[tex]87.5\ miles[/tex]

Step-by-step explanation:

Step 1:  Determine how far

Rate of speed * total hours

[tex]\frac{25\ miles}{hour}*3.5\ hours[/tex]

[tex]87.5\ miles[/tex]

Answer:  [tex]87.5\ miles[/tex]

A regular hexagon consists of 3 main characteristics:

Answer: Here u go

Step-by-step explanation:

Answer:

x = 117.8

Step-by-step explanation:

The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.

Taking the tan value of the listed angle :

tan 50° = x/99

1.19 = x/99

x = 1.19 × 99

x = 117.8 (nearest tenth)

Answer:

See below for answers and explanations (with attached graph)

Step-by-step explanation:

It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:

[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]

Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:

[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]

Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.

Answer:

10 girls and 11 boys

Step-by-step explanation:

That is the answer!!

Answer:

There are 10 girls and 11 boys.

Step-by-step explanation:

Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.

The graph that shows a dilation would show the reduction or enlargement of the original figure (see attachment).

Dilation is defined as a form of transformation where a figure is enlarged or reduced by scale factor. Simply put, a dilation is a process of resizing an original image.

The image containing the referenced graphs is missing. However, the image below shows what a dilation is.

Thus, the graph that shows a dilation would show an enlargement or reduction.

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Answer:

D

Step-by-step explanation:

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,

J-(2,2)

A-(4,4)

--

G-(-2,-2)

C-(-4,-4)

--

H-(4,4)

B-(8,8)