Factor the expression 4x + 32. Explain each step you
take in the process.
​

Answer:

No it does not work because 85 does not equal 100.

Step-by-step explanation:

so you would try the formula a2+b2=c2

2^2+9^2=10^2

4+81=100

85=100

No it does not work because 85 does not equal 100.

Answer:

Answer:C. 4 m, 3 m, 4 m, 4 m

Step-by-step explanation:

the sides in a parallelogram need to be equal to the opposite side making them the same length.

A parallelogram is a quadrilateral in which the opposite sides are parallel. The opposite sides and opposite angles are also equal.

Looking at the given options,

A) the opposite sides are equal to 2 yards. Therefore, it is a parallelogram.

B) the opposite sides are equal to 2cm and 3cm each. Therefore, it is a parallelogram.

C)A pair of opposite sides is equal to 4 cm and the other pair of opposite sides is unequal because one side is 3m and the other is 4 m. Therefore, it is not a parallelogram.

D) the opposite sides are equal to 5 in and 3 in each. Therefore, it is a parallelogram.

Hope this helps!!!

Answer:

Step-by-step explanation:

These equations are all written in slope-intercept form, so the question is relatively easy to answer. These rules apply.

1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

_____

Slope-intercept form is ...

  y = mx +b

m is the slope

b is the y-intercept

Answer:

Step-by-step explanation: 1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

Answer:

[tex]z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(z>1.104)=0.135[/tex]  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Step-by-step explanation:

Information given

[tex]\bar X=31.3[/tex] represent the sample mean

[tex]\sigma=\sqrt{3.61}= 1.9[/tex] represent the population deviation

[tex]n=110[/tex] sample size  

[tex]\mu_o =31.1[/tex] represent the value to verify

[tex]\alpha=0.1[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to check if the true mean for this case is higher than 31.1 MPG, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 31.1[/tex]  

Alternative hypothesis:[tex]\mu > 31.1[/tex]  

Since we know the population deviation the statistic would be given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(z>1.104)=0.135[/tex]  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Answer:I think 15

Step-by-step explanation:

Answer:

349.6

Step-by-step explanation:

P= 2(72.3) + 2(102.5)

Answer:

349.6

Step-by-step explanation:

Answer:

w= -9/8

Step-by-step explanation:

-1/3w -3/5 = 1/5w

+1/3w            +1/3 w

-3/5=1/5w+1/3w

Make common denominators to combine like terms of the right

-3/5=1/5w+1/3w

         *3       *5

-3/5=3/15w+5/15w

-3/5=8/15w

multiply both sides by the reciprocal of 8/15 which is 15/8

-3/5*15/8=8/15w*15/8

[tex]\frac{-3}{5}[/tex]*[tex]\frac{15}{8}[/tex] ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3

[tex]\frac{-3}{1}[/tex]*[tex]\frac{3}{8}[/tex] -----> now multiply across

w= -9/8

Answer: -6/7

Step-by-step explanation:

-1/2w-3/5=1/5w

-w/2 - 3/5=w/5

Collect like terms

w/5 + w/2=-3/5

(2w + 5w)/10=-3/5

7w/10=-3/5

Cross multiply

7w x 5=-3 x 10

35w=-30

Divide both sides by 35

35w/35=-30/35

w=-6/7

Answer:

x < 18 - 10

x < 8

Step-by-step explanation:

Answer:

8 > x

Step-by-step explanation:

-10 > x- 18

Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:

-10 (+ 18) > x - 18 (+18)

-10 + 18 > x

Simplify. Combine like terms:

(-10 + 18) > x

18 - 10 > x

8 > x

8 > x is your answer.

~

Answer:  D. p(d) = 3(10000)p​

Step-by-step explanation:

The function is p(d) = 3(10000)p, where p is the bacteria population and the number of days, d. The correct answer would be option (D).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

As per the given situation, we can write the function would be as:

⇒ p(d) = 3(10000)p

It states that the population of the bacteria, p, is equal to the starting population of 10,000 multiplied by 3 number of days, d. This function correctly represents the idea that the population triples each day.

Hence, the correct answer would be an option (D).

Learn more about the functions here:

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Answer:

He can run 8 miles in one hour.

Step-by-step explanation:

We have,

Jose can run 1 1/3 miles in 1/6 of  an hour.

We need to find how far he can run in one hour.

[tex]1\dfrac{1}{3}\ \text{miles}=\dfrac{1}{6}\ \text{hour}[/tex]

Now using unitary method,

[tex]1\ \text{hour}=\dfrac{4}{3}\times 6\ \text{miles}[/tex]

or

[tex]1\ \text{hour}=8\ \text{miles}[/tex]

So, he can run 8 miles in one hour.

Answer:

2/3

Step-by-step explanation:

Answer: 66.66%

Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]

Since our data sets have 4 data points, so median will be average of middle two terms.

[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]

Now we will equate both median as we are told that median of both data sets are equal.

[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]

Cross multiply:

[tex]2(5+y)=2(4+x)[/tex]

Divide both sides by 2:

[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]

[tex]5+y=4+x[/tex]

[tex]5-5+y-x=4-5+x-x[/tex]

[tex]y-x=-1[/tex]

Let us square both sides of our equation.

[tex](y-x)^2=(-1)^2[/tex]

[tex](y-x)^2=1[/tex]

Therefore, the value of [tex](y-x)^2[/tex] would be 1.

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

The tilt of the axis of Earth and orbit of Earth around the sun.

The orbit of the Earth around the sun and rotation of the Earth.

The orbit of the Earth around the sun and rotation of the sun.

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Answer:

the answer should be 158 but I'm not a hundred percent sure

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

The value of the circumference of the given circle is 9π cm OR 28.278 cm

From the question, we are to determine the circumference of the circle.

The circumference of a circle can be calculated by using the formula,

C = πd

Where C is the circumference of the circle

and d is the diameter

From the diagram,

d = 9 cm

Therefore,

Circumference of the circle = π × 9

Take π = 3.142

Then,

Circumference of the circle = 28.278 cm

Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm

Learn more on Calculating circumference of a circle here: https://brainly.com/question/12823137

Answer:

7cm²

Step-by-step explanation:

Answer: 95.5

Step-by-step explanation:

If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5

Answer:C

Step-by-step explanation:

3.1 x 10^(-4) x 8.5 x 10^(-2)

3.1 x 8.5 x 10^(-4) x 10^(-2)

26.35 x 10^(-4-2)

26.35 x 10^(-6)

2.635 x 10^1 x 10^(-6)

2.635 x 10^(1-6)

2.635 x 10^(-5)

Answer:

It is 0.30 or in words, 30 hundredth.

Step-by-step explanation:

Answer:

I also belive for Part A the second one is the answer because it equals 120 Part B is 120 pints! Good Luck! And I hope this Helps!

Answer:

B

Step-by-step explanation:

Answer:

Su pago mensual sería de $9.06 (Espero que esto ayude)

Step-by-step explanation:

Answer:

B.)

Step-by-step explanation:

A linear equation, remember, is y = mx + b.

Identify.

A.) y = 2x + 3

B.) y = 5x^2 - 10x

C.) y = 5x - 2

D.) y = 8x

Eliminate.

Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.

Hope that helped.

Answer:

The value of P is 20 .

Step-by-step explanation:

Firstly, you have to create an expression in terms of p using the information :

[tex] \frac{p}{10} = 2[/tex]

Next, you have to multiply both sides by 10 :

[tex] \frac{p}{10} \times 10 = 2 \times 10[/tex]

[tex]p = 20[/tex]

Answer:

The answer would be twenty.

Step-by-step explanation:

P = 10 x 2

P = 20

Answer:

b

Step-by-step explanation:

Answer:

90% probability that a student who receives an A in statistics will also receive an A in calculus

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: A in statistics.

Event B: A is calculus

Twenty percent of students in a statistics course receive A’s.

This means that [tex]P(A) = 0.2[/tex]

Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.

Thirty percent of students in a calculus class receive an A.

This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]

What is the probability that a student who receives an A in statistics will also receive an A in calculus?

[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]

90% probability that a student who receives an A in statistics will also receive an A in calculus

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

Answer:

the radious is half the diameter

Step-by-step explanation:

Answer:

9043.20

Step-by-step ex planation:

V=π[tex]r^2[/tex]h

V= π [tex](12)^2[/tex] (20)

V=2880(π=3.14)

V=9043.2 and in hundreths that would be 9043.20

Answer:

Assuming this is a 45 - 45 - 90 right triangle, The answer would be B) Two sides have the same length, which is less than the length of the third side

Hence statements stated true false along with reason

A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's interior angles equals 180 degrees is the most significant feature of a triangle.

Triangle of Isosceles: Triangle with Obtuse Angle

Triangle Inequality in the Scalene Triangle

Triangle Surface Area: Triangle with Sharp Angle

Triangle with Right Angles: Triangle Form of Pascal...

Given a triangle and statements related to it let's check

Each side has a different length.

-This statement can't always be true as in equilateral triangle all sides are equal

Two sides have the same length, which is less than the

length of the third side.

-this statement is correct but when it is a right angles triangle where other two anges are 45degrees each then this can't be true.

The three sides have the same length.

-this statement is true for equilateral triangle

D. The sum of the lengths of two sides is equal to the

length of the third side.-

-This statement is true when we talk of only right angled triangle

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