Write the slope intercept form of the equation of the line. x + 8y = 24​

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

Answer:

-6.78 x 10^-21

Step-by-step explanation:

-6.77626358E-21

= -6.78 x 10^-21

Answer:

[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]

The character in Seedfolks to whom Paul Fleischman assigned the most personal perspective on gardening is:

The plot reveals a formerly lonely setting that would be gradually turned into a bubbling garden by the characters.

Kim, a nine-year-old Vietnamese girl was assigned the most personal perspective because she planted her Lima beans in the garden to strike a connection with her late father who she did not know on a personal basis.

Learn more about the plot of a story here:

https://brainly.com/question/1909141

#SPJ1

Answer:

a edge 2023

Step-by-step explanation:

Answer: hello the options related to your question is missing attached below are the missing options

answer : Neither the 95% nor the 99% intervals will contain 0.25  ( B )

Step-by-step explanation:

Given that ;

H0 : = 0.25

Ha : ≠ 0.25

p-value = 0.002

also 95% and 99% confidence intervals are constructed

p value = 0.002        i.e. < 0.01  ∝ < 0.05 ∝

This means that we reject null hypothesis in both cases when  (∝ =0.05 and ∝ = 0.01 )

Hence The true statement about my confidence intervals is :

Neither the 95% nor the 99% intervals will contain 0.25

Answer:

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

Answer:

True

Step-by-step explanation:

Answer:

h = 2 yd

b = 8 yd

The area of the trapezoid of 12 yd

Step-by-step explanation:

Answer:

The answer is 198 feet.

Step-by-step explanation:

You convert 45 miles/ hour to feet/ hour:

45 × 5,280 = 237,600 feet/ hour

Now you  remember that there are 60 minutes in an hour, and 60 seconds in a minute. We divide 237,600 feet per hour by 60 to get feet/ minute:

237,600 ÷ 60 = 3,960 feet per minute

You just have to divide 3,960 by 60 to get back to feet/ second:

3,960 ÷ 60 = 66 feet per second

Now you know how fast the car can travel (in feet) in a second. Now to find out how many feet it travels in 3 seconds, you just multiply 66 by 3:

66 × 3 = 198 feet which is the final answer.

Answer: 880

Step-by-step explanation: We use unit rates to convert miles per hour to feet per second

60 miles/ hour × 5280 feet/mile × 1 hour/ 60 minutes × 1 minute/ 60 seconds = 88 seconds

So the distance in 10 seconds is 10×88 = 880

Answer:

[tex]N(t) = 37.1(1.38)^t[/tex]

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]N(t) = N(0)(1+r)^t[/tex]

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that [tex]N(0) = 37.1[/tex]

So

[tex]N(t) = 37.1(1+r)^t[/tex]

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.

[tex]N(t) = 37.1(1+r)^t[/tex]

[tex]353 = 37.1(1+r)^7[/tex]

[tex](1+r)^7 = \frac{353}{37.1}[/tex]

[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]

[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]

[tex]1 + r = 1.38[/tex]

The formula is:

[tex]N(t) = 37.1(1.38)^t[/tex]

Answer:

$225 + $75x ≤ $1500

x ≤ 17

Step-by-step explanation:

The Smith family has $1500 spending limit and no more.

The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.

$1500 - $225 = $1275

Then we can simply divide the amount leftover with the hours the contractor works.

$1275 ÷ $75 = 17

The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500

Answer:

i think that will be 27 because thats 3/5 of the total

Step-by-step explanation:

tell me if i got it right or wrong no hate

Answer:

4.5

Step-by-step explanation:

6x + 42 = 18x - 12 (alternate angles)

or, 18x - 6x = 42+12

or, 12x = 54

or, x = 54/12

x= 4.5

Answer:

(-3 ,-4)

I have made it in above picture

hope it helps

hope this helps you...

.....

Step-by-step explanation:

Answer:

11060.83

Step-by-step explanation:

Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110

= 66365

No. of days (N) = 6

Arithmetic mean = Sum/ N

= 66365/6

= 11060.83

Step-by-step explanation:

sum =Rs 10000+ Rs 10250+ Rs 10790+Rs 9865+ Rs 15350+Rs 10110.=rs66365

n=6

mean=sum/n=rs66365/6=11060.833

Answer: 30  i took a test with that question

Step-by-step explanation:

Answer:

Area = 1.54

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

π = 3.14

diameter = 1.4

radius (half of diameter) = 0.7

Area = 3.14 x [tex]0.7^{2}[/tex]

Area = 3.14 x 0.49

Area = 1.5386

round to the nearest hundredth:

1.5386 = 1.54

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

A is 55°

Step-by-step explanation:

To solve this, you need to remember that the sum of the angles inside a triangle is equal to 180 degrees.

Also, noting that this is an isosceles triangle.  That means that a and b are equal.  With that in mind, we can simply say:

a + b + c = 180

a ≡ b ∴ 2b + c = 180

2(4x + 31)° + (2x + 58)° = 180°

8x° + 62° + 2x° + 58° = 180°

Let's just stop right here, and note that normally you can treat symbols of measurements just like variables.  We've done the same here, applying the distributive property with the ° symbol.  Note though that it's currently part of every single term, so I'm going to factor it out:

(8x° + 62° + 2x° + 58°) / 1° = 180° / 1°

8x + 62 + 2x + 58 = 180

10x + 120 = 180

10x = 60

x = 6

Again noting that A and B are identical due to this being an Isosceles triangle, we can say:

A = (4x + 31)°

A = 24° + 31°

A = 55°

We can also check our answer.  The sum of the angles should be 180, and two of those angles should be 55.  That means that angle C should be 180 - 2 * 55, or 180 - 110 = 70.  Let's test it:

70 = 2x + 58

70 = 12 + 58

70 = 70

So we know that our answer is correct.

Answer:

answer is third,hope i helped u

Answer:

180 degrees

Step-by-step explanation:

the triangle sum theorem states that all angles of a triangle must add up to 180 degrees. this means the answer has to be 180 degrees

Answer:

sorry hunny you on your own

=========================================================

Explanation:

Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.

You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.

If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.

Note how 13/65 = 1/5.