3x+2=23
Please show steps on how to do.

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

[tex]a^{2} +b^{2} =c^{2}[/tex]

since we know a and b are the same length (sides of a square are congruent) we would have

[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]

We know that c is 14 so

[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]

Answer:

nice.

Step-by-step explanation:

Answer:

I think the answer is 5 because on the top it says 5 miles is about 8km but I'm not positive

Answer:

[tex]\displaystyle \frac{dy}{dx} = \frac{-4}{3x^5}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{\frac{1}{x^4}}{3}[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

1) A) 25%

2) B) 16%

3) A) 93%

Step-by-step explanation:

1)

0.25 = 25%

2)

More than 3 means, 4 and 5

0.12 + 0.04 = 0.16 = 16%

3)

x ≥ 1

So that means 1+ days (everything except 0)

0.25 + 0.18 + 0.34 + 0.12 + 0.04

0.93 = 93%

Answer:

[tex]v=\sqrt{\frac{2E}{m} }[/tex]

Step-by-step explanation:

[tex]E=\frac{mv^2}{2}[/tex]

[tex]2E=mv^2}[/tex]

[tex]v^2=\frac{2E}{m}[/tex]

[tex]v=\sqrt{\frac{2E}{m} }[/tex]

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.

Answer:

The numerical limits for a D grade are 58(lower limit) and 61(upper limit).

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3.

This means that [tex]\mu = 67.3, \sigma = 7.3[/tex]

D: Scores below the top 80% and above the bottom 9%

This means that lower bound is the 9th percentile and the upper bound is the 100 - 80 = 20th percentile.

9th percentile:

This is X when Z has a pvalue of 0.09. So X when Z = -1.34.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.34 = \frac{X - 67.3}{7.3}[/tex]

[tex]X - 67.3 = -1.34*7.3[/tex]

[tex]X = 57.52[/tex]

Rounding to the nearest whole number, 58.

20th percentile:

This is X when Z has a pvalue of 0.2. So X when Z = -0.84

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 67.3}{7.3}[/tex]

[tex]X - 67.3 = -0.84*7.3[/tex]

[tex]X = 61.17[/tex]

Rounding to the nearest whole number, 61.

The numerical limits for a D grade are 58(lower limit) and 61(upper limit).

Answer:

x° = 139

step 1 :

180 - (37 + 38)

= 180 - 75

= 105°

step 2 :

180 - 105

= 75°

step 3 :

180 - 116

= 64°

step 4 : this step to find the value of x

x° = 180° - (64 + 75)°

= 180° - 139°

= 41

x° = 41

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that [tex]p = \frac{1}{33}[/tex]

A local hospital randomly selects five births.

This means that [tex]n = 5[/tex]

What is the probability that at least one of the births results in a defect?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426[/tex]

0.1426 = 14.26% probability that at least one of the births results in a defect.

Answer:

yes it is

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

angles on a straight line sum up to 180°

104+x+x+10=180

114+2x=180

2x=180-114

2x=66

x=33

Answer:

C. 33

Step-by-step explanation:

So we have 180 degree line here, so lets take 104 and add the 10 from the expression inside the parenthesis on the other angle. We add 43 to 114 and get 147. We can then add 147+33 and get 180 which is equivalent to the angle.

Answer: X and y are about 24.04

Step-by-step explanation:

for a 45 45 90 triangle [tex]C=a\sqrt{2}[/tex]

[tex]34=a\sqrt{2}[/tex]

[tex]34^{2} =2a^{2}[/tex]

[tex]1156=2a^{2} \\578=a^{2} \\24.04=a[/tex]

Answer:

r = 31.85 in    or     100/π

Step-by-step explanation:

area = πd

200 = 3.14d

d = 63.69

r = 1/2d

r = 31.85 in

Answer:

The answer to this problem is 12.5.

Step-by-step explanation:

The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).

Since this is a equilateral triangle, all of the sides are equivalent to each other.  Since we know one of the sides is 5, all of the sides are 5.

5 * 5 = 25

Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.

25 / 2 = 12.5

The answer is 12.5.

Also, it would be FANTABULOUSLY AMAZING if I could get brainliest!!!

Just sayin, that would be pretty great.

Answer:

69.9 sq units

Step-by-step explanation:

find area of entire rectangle then subtract out area of semi-circle

(14 x 6) - (3²π ÷ 2)

84 - 14.1 = 69.9

69.9

Step-by-step explanation:

answer;

C.21 you have to subtract each number.

Answer:

Step-by-step explanation:

Answer:

3/4 of a cookie

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

One is the starting term

1, 2, 4, 8, 16, 32, 64, 128, 256,

Answer:

27

Step-by-step explanation:

Answer:

what the other fella put 27

Step-by-step explanation:

Answer:

23,7777

Step-by-step explanation:

because 13% died

Answer:

A

Step-by-step explanation:

Answer:

26 units squared

Step-by-step explanation:

multiply

5x2=10

5x2=10

3x2=6

add them together and you get

26

Answer:

26

Step-by-step explanation:

Answer:

Obtuse

Step-by-step explanation:

Since 150°>90°, it is an obtuse angle

Answer:

Yes

Hehe......

Answer: Yes

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

256.37 5 and 6 is high enoughh to boost that 2 up to a 3

Answer:

uhhh 256.37 is rounded to the nearest hundreth

Unless you mean hundred thwn it would be 300

Answer:

1 0 ^ 2 + 5 ^ 2 − 2− 5

Step-by-step explanation: