Which expression is equivalent to 2(m − 5) + 6?

2m − 1
2m + 22
2m − 4
2m + 16

Answer:

-0.2 + 0.5m + 9

Step-by-step explanation: simplify

Answer:

C. 65°, 115°

Step-by-step explanation:

3x - 5 + 2x - 15 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

5x - 20 = 3*40-5 = 120 - 5 = 115

2x - 15 = 2*40 - 15 = 80 - 15 = 65

Answer:

U = 71           L=60

Step-by-step explanation:

You subtract 180 from 109 to get the measure of U and then you add measure  U and E to get 120. Then, you subtract 180 from 120 to get measure L.

Answer:

a

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

4/20 is how many multiples of 5 are in the total out of 20. 4/20 simplified is 1/5

Answer:

(-3, -7)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point-Slope Form:   y + 7 = 4/3(x + 3)

Step 2: Break function

Slope m = 4/3

Point (-3, -7)

Answer:

The solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].

Step-by-step explanation:

This second-order differential equation is homogeneous and linear of the form:

[tex]y'' + p\cdot y' +q\cdot y = 0[/tex] (1)

Where:

[tex]p[/tex] - First-order constant coefficient, dimensionless.

[tex]q[/tex] - Zero-order constant coefficient, dimensionless.

Whose characteristic polynomial is:

[tex]\lambda^{2}+p\cdot \lambda + q = 0[/tex] (2)

Where [tex]\lambda[/tex] contains the roots associated with the solution of the differential equation.

If we know that [tex]p = 6[/tex] and [tex]q = 9[/tex], the roots of the characteristic equation are, respectively:

[tex]\lambda^{2}+6\cdot \lambda + 9 = 0[/tex]

[tex](\lambda +3)\cdot (\lambda + 3) = 0[/tex]

Which means that [tex]\lambda_{1} = \lambda_{2} = 3[/tex] and the solution of the differential equation is of the form:

[tex]y(x) = e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)[/tex] (3)

Where [tex]c_{1}[/tex] and [tex]c_{2}[/tex] are integration constants.

The first derivative of the equation above is:

[tex]y'(x) = 3\cdot e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)+c_{2}\cdot e^{3\cdot x}[/tex] (4)

Now, if we get that [tex]y(0) = 0[/tex] and [tex]y'(0) = 1[/tex], then the system of equations to the solved is:

[tex]c_{1} = 0[/tex] (3b)

[tex]c_{1}+c_{2} = 1[/tex] (4b)

The solution of this system is: [tex]c_{1} = 0[/tex], [tex]c_{2} = 1[/tex]. Therefore, the solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].

Answer:

0.98778

Step-by-step explanation:

When we are given a random number rod samples, we solve using z score formula

z = (x-μ)/σ/√n, where

x is the raw score = 102.1 mL

μ is the population mean = 101.5 milliliters (mL)

σ is the population standard deviation = 1.6.

n = 36

z = 102.1 - 101.5/1.6/√36

z = 2.25

Probability value from Z-Table:

P(x<102.1) = 0.98778

Hence, If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL is 0.98778

Answer:

7.59 dollars is the unit price

Step-by-step explanation:

Answer:

[tex]m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-4, 7)

Point (2, -8)

Step 2: Find slope m

Answer: I think a and b

Step-by-step explanation:

Answer: B' (x-4,y)

Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through translation.

So, when a point is translated, it means it changed its position.

Point B has x- and y-coordinates: B(x,y)

Point B' after being translated 4 units left means:

(x,y) → (x-4,y)

In other words, translated point B has coordinates

B(x-4, y)

Because moving left is saying the point is moving towards the negative "side" of the x-axis.

Answer Choices:

A) (-6, -1)

B) (6, -1)

C) (-6, 1)

Answer:

First multiply each brackets

90-60

30

Step-by-step explanation:

Answer:

9 x 3= 27 and 30 + 30=  60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.

Step-by-step explanation:

Hope that answers your question!

Answer: the answer would be 1.75 gallons/hour

Step-by-step explanation: if you take the 14 gallons divided by the eight hours, you get 1.75

Answer:

7/4 gallons per hour

Step-by-step explanation:

We have to divide the amount of water lost by the lapse of time. So we get

14/8= 7/4

Answer:

tesrdxtcfygvoubucewh cwcs wuehcbwch w

Step-by-step explanation:

w edch dwjbsxchwej chwxc

Answer:

your answer is 7

Step-by-step explanation:

i may be wrong but i think that is the correct answer oh and Have a good thanksgiving everyone

Answer:

13.3 and 28.2 years

Step-by-step explanation:

from Khan academy

Complete Question

In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within [tex]\pm 8 \ hours[/tex]?

Answer:

a

    [tex]1206 <  \mu <  1228 [/tex]

The reason why a normal distribution was chosen is because the sample size is large enough that is  [tex]n > 30[/tex]  

b

   [tex]n =162 [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  80  

    The sample mean is  [tex]\= x = 1217[/tex]

     The standard deviation is  [tex]\sigma = 52[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96  *  \frac{ 52}{\sqrt{80} }[/tex]

=>    [tex]E = 11.395 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>   [tex]1217  -11.395 <  \mu <  1217  + 11.395[/tex]

=>   [tex]1206 <  \mu <  1228 [/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

Here  E =  8

=>   [tex]n = [\frac{1.96  * 52 }{8} ] ^2[/tex]

=>   [tex]n =162 [/tex]

Answer:

$0.19 cents

Step-by-step explanation:

First, find how many cups are in 8 quarts.

1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:

8(4)

= 32 cups

Then, to find the price per cup, divide the cost by the number of cups:

6.08/32

= 0.19

So, the price per cup is $0.19 cents

Answer:

65%

Step-by-step explanation:

Percentage = 1365/2100 *100

= 65%

Answer: 14.4/2

Step-by-step explanation: to find the average time, we add both numbers then divide by how many numbers we have, which is two. So 7.5 + 6.9 = 14.4. we then divide by 2, so 14.4/2.

Answer:

the answer will be -10.

Answer:

9 weeks

Step-by-step explanation:

Answer:

B a parrelel line means there not inerscting

Step-by-step explanation:

Answer:

Thank you

Step-by-step explanation:

Answer:

we need explaining of this question

Answer:

(2,0)

Step-by-step explanation:

Answer:

x intercept (2,0) y intercept is(0,-6)

Step-by-step explanation:

Answer:

this is easy u need just to put values in the formula

Step-by-step explanation:

putting values in the formula

T =

[tex]2\pi \sqrt{l \div g} [/tex]

T =2×3.14√0.65÷9.8

T= 6.28√0.066

T=6.28×0.25

T=1.617s answer

Answer: the parenthesis: (44-4)

Step-by-step explanation: In order of operations parenthesis are always first. Then exponents, then multiplication and division, and then addition and subtraction. (PEMDAS)