Which statement must always be true?4
13
Choose the correct answer below.
O A. If Z1 Z2, then gl|h.
OB. If 21-23, then gl|h.
O C. If Z2 = 24, then jl|k.
OD. If Z3 Z4, then illk.

Answers

Answer 1
Answer: the statement c will always be true in the end

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A study is under way in Yosemite National Forest to determine that adult height of American pine trees. Specifically, the study is attempting to determine what factors aid a tree in reaching heights greater than 60 feet tall. It is estimated that the forest contains 25,000 adult American pines. The study involves collecting heights from 250 randomly selected adult American pine trees and analyzing the results. Identify the population from which the study was sampled

Answers

Answer:

The 25,000 adult American pine trees in the forest.

Step-by-step explanation:

Consider the provided information.

It is given that the forest contains 25,000 adult American pines. The study involves collecting heights from 250 randomly selected adult American pine trees and analyzing the results.

A population is the set of data which includes all of the elements. If one or more observations are drawn form the population then it called a sample.

Here the population is 25,000 adult American pines.

Thus, the required answer is: The 25,000 adult American pine trees in the forest.

Simplify the following expression:
3g^2– 7g + 5g + 12

Answers

Answer:

3g^2 - 2g + 12

Step-by-step explanation:

3g^2 - 7g + 5g + 12

-7g + 5g = -2g

1 For a recipe, Paul uses 3 cups of sugar for every 4 cups of flour. Which table showsequivalent ratios for this recipe?

Answers

The equivalent ratios of the cups of sugar to cups of flour are shown in table B.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that for a recipe, Paul uses 3 cups of sugar for every 4 cups of flour. Check the table number B for the ratios of the cups of sugar to cups of flour,

Cups of sugar   Cups of flour      ratio

3                              4                     3 / 4 = 0.75

6                              8                     6 / 8 = 0.75

9                             12                   9 / 12 = 0.75

12                            16                   12 / 16 = 0.75

Hence, the table which shows the equivalent ratio is B

To know more about ratios and proportions follow

brainly.com/question/2914376

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Answer:

B

Step-by-step explanation:

In the chart for b it shows the use of 3 cups of sugar per 4 cups of flour which is what the question wants you to find.

Please help me solve x and z

Answers

Answer: Z = 107 as the opposite angles are equal. Then to find x, z is on the same line as (10x+3) so,

107+10x+3=180°

10x+3= 180-107

10x+3= 73°

now,

10x= 73-3 = 70

x= 70/10

x= 7

Hence z= 107 and x=7

pls mark brainliest

Answer:

x=7\nz=107

Step-by-step explanation:

First we can solve for x,

107 and 10x+3 is  straight line which is 180 so make an equation:

107+(10x+3)=180

10x +107+3=180

10x+110=180

10x=180-110

10x=70

x=70/10

x=7

10(7) + 3 = 73

{CHECK: 107 + 10(7) + 3 = 180}

Now, let's find the value of z

As we have the value of x it will be easy to find z by forming an equation:

z+73=180

z=180-73

z=107

{CHECK: 107 + 73 = 180}

hope this helps :)

Suppose the function P(t) = 437.6(1.031)t is used to model the population of an organism in a specific region after t years. When will the number of organisms be 1000? (Round your answer to three decimal places.)

Answers

Answer:  27.071  years.

Step-by-step explanation:

The given function : P(t) = 437.6(1.031)^t is used to model the population of an organism in a specific region after t years.

To find : t , when P(t)=1000

Substitute  P(t)=1000 in the given function , we get

1000 = 437.6(1.031)^t\n\n\Rightarrow\ (1000)/(437.6)=(1.031)^t\n\n\Rightarrow\ 2.2852=(1.031)^t

Taking natural log on both sides , we get

\ln(2.2852)=\ln ((1.031)^t)\n\n\Rightarrow\ \ln(2.2852)=t(\ln (1.031))\n\n\Rightarrow\ t=( \ln(2.2852)/(\ln(1.031))\n\n\Rightarrow\ t=(0.8264535)/(0.0305292)\n\n\Rightarrow\ t=27.070918989\approx27.071

Hence, The number of organisms will be 1000 after t= 27.071  years.

F(x )= ?g(x) = ?
Neither function can be the identity function.
(There may be more than one correct answer.)

Answers

f(x) =  {x}^(7)

g(x) = 3x + 3

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f(x) =  {x}^(14)

g(x) =  √(3x + 3)

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f(x) =  ({5x - 10})^(7)

g(x) =  (3)/(5)x +  (13)/(5) \n

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And many other answers....