Which table represents a linear function?
x y
1 3
2 7
3 11
4 15

x y
1 3
2 8
3 15
4 21

x y
1 3
2 9
3 3
4 9

x y
1 3
2 9
3 27
4 81

The values of x and z is 61/38 and 57.47 respectively.

The three angles of a triangle is 14x + 35, z and 10x + 49

It is given that 14x + 35 is congruent to Z

The other angle is (10x+49)

In any trinagle the summation of all three angles of that triangle is 180 degree

here the summation of all three angles that is

14x + 35, z and 10x + 49 is 180 degree

(14x + 35) + (14x + 35) + 10x + 49 = 180    (angle z is same as angle 14x + 35)

14x + 35 + 14x + 35 + 10x + 49 = 180

38x + 119 = 180

38x = 61

x = 61/38

z = 14x + 35

z = 14(61/38) + 35

z = 57.47

Therefore the values of x and z is 61/38 and 57.47 respectively.

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cross multiply

Answer:

d

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

The range of function g would be c. (-∞, 1).

The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.

The range is the set of values that come out to an outcome for a certain mathematical operation.

Here,

First find the function g(x),
So,
g(x) = -2(10ˣ) + 1

To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.

Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.

Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]

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Answer:

Based on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:

Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth.

Step-by-step explanation:

Answer:

m<1 = 37

m<2 = 68

m<3 = 68

m<4 = 143

m<5 = 75

Answer:

Angle 1 = 37° (alternate angles)

Angle 2 = Angle 3 (alternate angles)

Angle 2 and 3 = 180 - 112

= 68° (sum of angles on a straight line)

Angle 4 = 180 - 37

= 143° (sum of angles on a straight line)

Angle 5 can be found using more than one method. I'm just going to show two here.

Method 1:

Angle 2 + Angle 5 + Angle 1 = 180° (sum of angles on a straight line)

68 + Angle 5 + 37 = 180

Angle 5 = 180 - 68 - 37

= 75°

Method 2:

Angle 5 + Angle 3 + 37 = 180° (sum of angles in a triangle)

Angle 5 + 68 + 37 = 180

Angle 5 = 180 - 68 - 37

= 75°

Answer:

I don't realy know

Step-by-step explanation:

I think it's B

The volume of the oblique cylinder is  1,538. 6 cubic units

It is important to note that the formula for determining the volume of an oblique cylinder is expressed as;

V = πr²h

Where;

Now, let's substitute the values into the formula

Volume, v = 3. 14 ×(7)² × 10

find the square of the value

Volume, v = 3. 14 × 49 × 10

Multiply the values

Volume, v = 1,538. 6 cubic units

Hence, the volume is 1,538. 6 cubic units

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Answer: 2010.6 units^3

Step-by-step explanation:

volume=πr2

=π multiply 8^2 multiply 10

=π times 64 times 10

=2010.619298

therefore 2010.6 units^3 is the answer

Answer:

There is a possibility that all three planes will intersect each other but not at a certain point but on the line. This can happen and the best way for its identification is that if the rank of the coefficient matrix, as well as the augmented matrix, is equal to two.

The function rule for renting the tent for n nights is t(n) = 30 + 5n.

The amount of money I have to pay if I rent the tent for 8 nights is $ 70.

Given that:-

Non-refundable fee charged by tents r us to reserve the tent = $ 30

Additional fee charged per night by tents r us = $ 5

We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.

We know that,

Function rule for renting the tent for n nights = Non-refundable fee + charge per night

Hence, we can write,

t(n) = 30 + 5n

Using the formula, putting n = 8, we get

t(8) = 30 + 5*8 = 30 +40 = $ 70.

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Answer:

They have equal slopes.

Step-by-step explanation:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.

Answer: k-34

Step-by-step explanation:

k is the front of the expression because it’s what he started with in his situation

to spend money you use - for subtraction

bc its an expression i’m assuming that’s it lol

[tex](\stackrel{x}{10}~~,~~\stackrel{y}{y})\hspace{5em}\stackrel{\textit{substituting in the equation}}{y~~ = ~~3(\stackrel{x}{10})+4}\implies y=34[/tex]

Answer:

Step-by-step explanation:I am pretty sure the answer is supposed to be 2 for x

To buy thea's share, Joe would need $ 533,333.33.

After buying thea's portion, Joe will own 41.6%.

Given, joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively.

Total ratio is = 1+4+7 = 12

hence joe = 1/12

thea = 4/12

taylor = 7/12

therefore share of each person:

1/12 × 1,600,000 = 133,333.33 -- Joe's share

4/12 × 1,600,000 = 533,333.33 -- thea's share

7/12 × 1,600,000 = 933,333.33 -- taylors share

total = 1,599,999.99 rounds to 1,600,000.00 or 1.6 mil

to buy thea's share, Joe would need $ 533,333.33.

after buying thea's portion, Joe will own :

(1/12 + 4/12) = 5/12 = 0.416 = 41.6%

Joe would require $533,333.33 to purchase Thea's portion.

Joe will hold 41.6% after purchasing Thea's share.

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Answer:

61 care packages

Step-by-step explanation:

240 food items = 8 care packages

240/8 = 30

30 food items = 1 care package

240 x 2 = 480

480/8 = 60

480 food items = 60 care packages

510 - 480 = 30

30 food items = 1 care package

60 + 1 = 61

61 care packages

The correct options regarding the distributions are given as follows:

A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.

B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.

D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.

The mean of a distribution is given by the sum of all observations divided by the number of observations.

For the Super Bright light builds, the mean is given as follows:

Ms = 20 x 1500/20 = 1,500 hours.

For the Pretty Bright lights, the minimum mean is given as follows:

Mp = (16 + 19 x 1900)/20 = 1,805.8 hours

This mean is greater than 1,5000 hours, hence option A is correct.

The interquartile range (IQR) of a distribution is given by the difference between the third quartile and the first quartile of a distribution.

For each distribution, the IQR is given as follows:

The delighful bright distribution has a constant increase of 50 in the duration of each bulb, hence the distribution is symmetric around the mean and option c is incorrect.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean.

Since the Super Bright measures are all equal, their standard deviation has the lowest possible value, and option D is correct.

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Answer:

9th power of 10

Step-by-step explanation:

To find the power of 10 in scientific notation. keep moving the decimal point to the left until you have only one digit to the left of the decimal point. Count the number of places you have moved the decimal point to the left and that is the exponent of 10 in scientific notation

5,708,100,000 does not have a decimal point but you can imagine a d.p at the end of the number

To get only one digit to the left of the d.p, you have to move it 9 places to the left until you get 5.7081

Therefore in scientific notation it is 5.7081 x 10⁹

The power is 9

Answer: 2/3

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of numerator (6): 1, 2, 3, 6

Factors of Denominator (9): 1, 3, 9

Steps to Calculate:

1. Find the GCF

2. Divide numerator and denominator by GCF

6/3 = 2

9/3 = 3

Therefore, the lowest term would be 2/3

Next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by

D.  put the compass on point B and complete the same steps that she did for point A.

As given in the question,

To draw the perpendicular bisector of given line segment AB

Required steps:

Therefore, next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by :

D.  put the compass on point B and complete the same steps that she did for point A.

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After performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

So, in seconds the car would take to travel 3.6 miles:

Then, calculate as follows to get in how many seconds the car will travel 3.6 miles:

Therefore, after performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

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Roland needs a 32/5 part sheet of fabric.

Given that,

Roland needs 8 sheets of fabric that are each 4/5 yard long.

We have to determine the length of the sheet of fabric required.

Complete the equation.

According to the question,

To complete the equation following all the steps given below.

Roland needs 8 sheets of fabric that are each 4/5 yard long.

Then,

(a/b)(c/d)

(8/1) (4/5)

32/5

Hence, Roland needs a 32/5 part sheet.

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Answer: Square feet

Step-by-step explanation: Well, in the 3 options given, ounces aren't used for distance which is what it is calculating, and for bigger terms, you wouldn't use inches, so the only logical answer is square feet.

Answer:

1:4

Step-by-step explanation:

There is 7+8+5 = 20 animals total    rabbits are 5

5:20     is the same as 1:4

x^3 - 10 = -2
(my solution first then ill arrange) :

First, we add 10 to each side :
x^3 = 8
Now, we take the cube root of both side :
[tex]\sqrt[3]{8} = x = > x = 2[/tex]
And, we get a rational solution.

So, the correct arrangement is g,d,c

Answer: c

Step-by-step explanation:

yes

Answer:4

Step-by-step explanation: because you only have 9 cups of chocolate chips in total and the recipe calls for 2 per times you make the recipe, so if you add the amount of times you can make the recipe, you have one cup left over, and 4 times 2 equals 8.

Answer: B

Step-by-step explanation:

Answer:

4/3 inches per hour

Step-by-step explanation:

take the number of inches and divide by the time to find the rate

4 inches / 3 hours

1.333333 inches per hour

4/3 inches per hour