Determine the intercepts of the line.

Answer: Degree of Polynomial: 12

Step-by-step explanation:

The first term of the geometric progression will be 81.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given that the common ratio of the geometric series is ( 2 / 3 ) and the sum of the first four terms is 171.

The first term of the geometric series will be calculated as:-

[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]

[tex]171 = a_1\dfrac{(\dfrac{2}{3}^3-1)}{\dfrac{2}{3}-1}[/tex]

a₁ = ( 171 x 9 ) / 19

a₁ = 9 x 9

a₁ = 81

Therefore, the first term of the geometric progression will be 81.

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Answer: 406.67 ft

Step-by-step explanation:

(20x60)/3

1220/3

= about 406.66667

= 406.67

The distance between these two numbers on a number line is equal to -10.6.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance by taking the difference between both values as follows:

Distance = -2.2 - 8.4

Distance = -10.6.

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Answer:

incomplete question

Answer: $2128.52

Step-by-step explanation:

[tex]1500(1+.0725)^{5}[/tex]

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction.

Maribel has :

total slice of pizza left = 3 x7 +7 = 28 slice.

Bruno has :

total slice of pizza left = 4x 5 + 2 = 22 slice.

Since Maribel  has More Pizza .

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Answer:

21-- 9660 / 460 = 21

Answer:

9660/460 = 21

Step-by-step explanation:

As per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

As given in the question,

The decimal value of the temperature at 6 pm was 7.1°F

Nora's temperature recording chart in winter can be tabulated as follows:

Time               Change in Temperature (°F)       Temperature Reading (°F)

9 am                                    -----                                           -12.4

12 noon                                +7.6                                         -4.8

3 pm                                    +13.1                                         +8.3

6 pm                                     -1.2                                          +7.1

Calculation by way of addition / subtraction of decimal is as follows:

-12.4°F +7.6°F = -4.8°F           (increase in temperature from 3 pm to 6 pm)

-4.8°F + 13.1°F = 8.3°F           (increase in temperature from 3 pm to 6 pm)

8.3°F - 1.2°F = 7.1°F               (drop in temperature from 3 pm to 6 pm)

Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)

Therefore, as per given data of recording of increasing and decreasing of  temperature during different day times , the temperature at 6pm is 7.1°F.

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Answer:

3,-2

Step-by-step explanation:

3,-2

Hello!

Part (A)

[tex]\text{Mean} = \dfrac{\text{sum of all salaries}}{\text{number of workers}} =\dfrac{13500 + 27500+13750 + 79000+ 19250 + 29000+21000}{7} \\\\\text{Mean}= 29000 \text{ dollars}[/tex]

Part (B)

 ==> The mean of other six worker's salary

  [tex]\text{Mean}= \dfrac{\text{sum of the 6 worker's salary}}{\text{number of workers} }=\dfrac{13500+27500+13750+19250+29000 + 21000}{6} \\\\ \text{Mean}= \dfrac{124000}{6}=20,666.67 \text{ dollars}[/tex]

Hope that helps!

Answer:

48 orange marbles

Step-by-step explanation:

[tex] \frac{6}{5} = \frac{x}{40} [/tex]

[tex]5x = 240[/tex]

[tex]x = 48[/tex]

The probability that the first card is a king is 0.08.

Which is probability?

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics. The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will discover the likelihood of various outcomes in a random experiment.

A deck of cards contains 52 cards.

Sample space = 52

there are 4 kings in a deck of cards.

Therefore the probability that the first card is a king = 4/52

=0.0769 approximately = 0.08

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Answer:

your answer would be 50.

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5

Check the picture below.

Answer:

hggssssssssssssssssssss

None of the expressions is equivalent to the given polynomial.

What is a polynomial?

A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximation other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.

None of the given expressions is equivalent to the given polynomial.

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Answer:

c

Step-by-step explanation:

the product (multiply ) of y and 12 is 12y and 4 less than 12y is

12y - 4

Answer:

12y - 4.

Step-by-step explanation:

The product is 12y and we subtract 4 from it.

Answer:

C is the correct graph.

Step-by-step explanation:

Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.

Answer:

I would say corresponding angles are converse

Step-by-step explanation:

I'm not that sure though, but I'm looking at my notes and it's kind of similar to the fact that it's corresponding

Answer:

89

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

is having -$50 bigger than having $50??

Answer:

57x + 5x + 19y by the commutative property for addition.

Answer:

Step-by-step explanation:

20

Roxanne claims that all linear equations represent proportional relationships. So, this statement "Yes, because all linear equations have graphs that are straight lines." makes him correct.

When there is a proportionate relationship between two variables, the other variable changes at a consistent pace regardless of how the first variable changes, grows or shrinks. A constant ratio between the two variables can be thought of as the constant rate.

Equations, graphs, and tables that use proportions can be used to show proportional relationships. A broad structure is followed by the proportional relationship equation, which will be taught in this session. Straight lines are used to illustrate the graphs. The tables are sets of numbers that are always paired in the same ratio.

Hence the correct option is A

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Answer:

187.2

Step-by-step explanation:

if the scale is 1:12 then you would need to multiply 12 by the 15.6 which gets you 187.2 miles.

Answer: n = 1/2; m = 2/3

Step-by-step explanation:

A ⇒ 12 y = 6x + 24

[tex]y=\frac{n}{2}+2[/tex]

[tex]n=\frac{1}{2}[/tex]

B ⇒ 3y = 2x + 18

[tex]y=\frac{2}{3}n+6[/tex]

[tex]m=\frac{2}{3}[/tex]

∴ Lines are neither because slop diff.

The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:

y = 44x.

A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:

y = kx.

In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).

From the table of distances and time given in this problem, the constant is found as follows:

k = 220/5 = 440/10 = 660/15 = 44.

Hence the constant is of 44 and the relation is given by:

y = 44x.

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Step-by-step explanation:

the same scale factor has to apply to all sides.

we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.

so, the scale factor is

3/2 = 1.5

to go from D to C we have to multiply all lengths by 1.5.

Part a

[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]

Part b

[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]

Part c

[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]

Part d

[tex](g \circ f)(7)=\sqrt{7}+9[/tex]

If the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.

Given that 18 ounces are what Kellogg estimates to be the typical weight of a box of Frosted Flaked. The average weight of the 30 cartons they sampled was 18.2 ounces. According to past data, the filling procedure's standard deviation is 0.32 ounces.

Let Y be a box weights random variable.

μ = 18 ounces

SD = 0.32 ounces

The sample size and mean are provided as,

Sample size (n)  = 30

Sample mean (y) = 18.2

Y then follows roughly the standard deviation N(μ = 18, SD = 0.32)

Z score appears as:

[tex]z = \frac{\sqrt{n}(y-u)} {SD}[/tex]

where z is a normal standard variable having a mean of 0 and a standard deviation of 1.

Since sample size n is 30 and the standard deviation is given. y follows approximately Normal distribution

If the actual mean is 18 ounces, the likelihood that the sample mean will have been 18.2 ounces or more is given as,

[tex]P[Y \geq 18.2] = P [\frac{\sqrt{n(y - u)} }{SD} \geq \frac{\sqrt{30}(18.2- 18) }{0.32}\\ \\ =P [z\geq \frac{\sqrt{30}* 0.2 }{0.32}]\\ \\= P [z\geq \frac{1.0954}{0.32}]\\ \\=P [z\geq 3.4233]\\\\= 0.0003[/tex]

Therefore, if the actual mean is 18 ounces, there is a 0.0003 chance that the sample mean was 18.2 ounces or more.

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