Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.

Use a thousands comma where applicable.

1. the company's percentage
%
2. the total premium $
3. the company's payment $

Answer:

y ≤ -3x + 23

Step-by-step explanation:

1. 6x + 2y ≤ 46

•subtract “6x” from both sides to isolate the “y” variable

2. 2y ≤ 46 -6x

•divide both sides by “2”

3. y ≤ 23 -3x

•reorder the terms so it fits the “y = mx + b” slope-intercept format

4. y ≤ -3x + 23

Answer:

The weight of a tomato depends on the variety of tomato. There are cherry, plum, grape, roma, and beef tomatoes of various sizes. The following tables shows different types of tomatoes, along with the average weight (in grams and ounces), the number of tomatoes per kilogram, and the number of tomatoes per pound.

Step-by-step explanation:

Answer:

I think x - x = 0

FILLER FILLER

Answer:

[tex]X^2-2x+1[/tex]

Step-by-step explanation:

Traditional pattern for a perfect square:

[tex]x^{2} +2ax+a^{2}[/tex]

Which factors into: [tex](x+a)^2[/tex]

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

[tex]x^2+2x+1[/tex]

Which we know is correct because it factors into: [tex](x+1)^2[/tex]

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Answer:

I = 337.56

Step-by-step explanation:

Given that,

Principal, P = 1500

Rate, R = 7%

Time, t = 3 years

We need to find the interest if it is compounded annually. We know that, the amount is given by :

[tex]A=P(1+\dfrac{r}{100})^n[/tex]

Put all the values,

[tex]A=1500\times (1+\dfrac{7}{100})^3\\\\A=1837.56[/tex]

We know that,

Interest = Amount - Principal

I = 1837.56 - 1500

I = 337.56

Hence, the interest is equal to 337.56.

Answer: B ,I just completed the assignment

AB=CD is not always true. Therefore, option B is the correct answer.

From the given construction, we need to find which conclusion is not always true.

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. 'Bisect' is the term used to describe dividing equally. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides.

Here, AB⊥CD.

Since CD is the perpendicular bisector of AB.

AE=EB and CE=DE

AB=CD is not always true. Therefore, option B is the correct answer.

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Answer:

61 units

Step-by-step explanation:

Answer:

I can help you via Watsapp

9514 1404 393

Answer:

  4) -ln(2)/3

  5) x = 9

  6) x = 2

  7) x = -6

Step-by-step explanation:

4) e^(-3x) = 2 . . . . given

  -3x = ln(2) . . . . . take the natural log

  x = -ln(2)/3 . . . . divide by the coefficient of x

__

5) ln(3x -5) = ln(11) +ln(2)

  3x -5 = 11·2 . . . . . take antilogs

  3x = 27 . . . . . . . . add 5

  x = 9 . . . . . . . . . . divide by 3

__

6) log4(x -1) +log4(x +2) = 1

  (x -1)(x +2) = 4 . . . . . take antilogs

  x^2 +x -2 = 4 . . . . . . eliminate parentheses

  x^2 +x +1/4 = 6 1/4 . . . add 2 1/4 to complete the square

  (x +0.5)^2 = 6.25 . . . . write as a square

  x +0.5 = ±2.5 . . . . . . . take the square root

  x = -0.5 ± 2.5 = {-3, +2} . . . . . . x = -3 is an extraneous solution

  x = 2

__

7) 8^x = 4^(x -3)

  2^(3x) = 2^(2(x -3)) . . . . write using a common base of 2

  3x = 2(x -3) . . . . . . . . . . take logarithms base 2

  x = -6 . . . . . . . . . . . . . . .subtract 2x

Answer:

Base is 21

Step-by-step explanation:

I'm gonna be honest, just divide 336 by 16.

However just in case you meant volume instead of area because you said (bases), they would be 5 and 4.2

Answer:

49.2%

Step-by-step explanation:

Answer:

A and C if you don't believe me look at this link down below

Step-by-step explanation:

https://fsassessments.org/assets/documents/answer-keys-paper/FSA_2018_7M_Practice-Test_Answer-Key_PBT_Final.pdf

Statement first there was a ten-year age gap between the oldest and youngest students in 1990.and statement fourth are correct

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have:

Survey data involving two random samples of students at law school are shown. The surveys were taken, comparing the age of students in 1900 to the age of students in 2014.

The statements that are true about the two samples of students:

Thus, statement first there was a ten-year age gap between the oldest and youngest students in 1990.and statement fourth are correct

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Answer:

3 5/6

Step-by-step explanation:

18/6 = 3

23-18=5 (5/6 are left)

Answer:

B

Step-by-step explanation:

You can read this as "find g of f of 2"

Also written as g(f(2)).

What we're doing is is looking at the function f and getting the value when you input 2. f(2)

Since the function f is the curved one, you will find the coordinate where the input is 2. At input 2 or x=2, we get the value of 0.

Now back to g(f(2)) -- Because we have found the value of f when it is 2, we can replace this equation with:

g(0)

Now we find the value we get from g when we put 0 as the input. When 0 is our input, or when our x is 0, we see the point of g is (0,2) so our output is 2.

Answer:

The given statement is "True".

Step-by-step explanation:

A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.

If relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.

Thus the above is the true answer.

Answer:

494.16 units²

Step-by-step explanation:

Total surface area of the solid = 4(area of a triangular face) + area of the square base

Area of a triangular face = ½*b*h

b = x = 11.6

h = z = 15.5

Area = ½*11.6*15.5 = 89.9 units²

Area of the four triangular faces = 4(89.9) = 359.6 units²

Area of the square base = s²

s = x = 11.6

Area = 11.6²

Area = 134.56 units²

✔️Total surface area of the solid = 359.6 + 134.56 = 494.16 units²

Answer:

CI = (0.68, 3.84)

Step-by-step explanation:

We want to find the confidence interval for the difference in means between the two groups MC and MN.

where;

- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.

- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.

We are given;

Sample mean of C; x'c = 1.3

Sample mean of N; x'n = -0.96

Standard deviation of C; S_c = 2.32

Standard deviation of N; S_n = 1.58

Sample size of C; n_c = 11

Sample size of N; n_n = 10

Formula for the confidence interval for the difference in means is;

CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]

Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833

Thus;

CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]

CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]

CI = (2.26 - 1.58), (2.26 + 1.58)

CI = (0.68, 3.84)

Answer:

24 (x + 2)

24x + 48

these are two ways to rewrite the expression

Answer:

24x+48

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

I used a triangle height calculator on G0ogle

If the base area is 162 square inches, then the height of the pyramid will be 36 inches. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions of 18 inches by 9 inches.

Then the height of the pyramid will be

The volume of the pyramid will be

Volume = (Base area x height) / 3

Then the base area will be

Base area = 18 x 9

Base area = 162 square inches

Then the height of the pyramid will be

1944 = (162 h) / 3

5832 = 162 h

      h = 36

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Answer:

72

Step-by-step explanation:

6x4=24x3=72

Answer:

Step-by-step explanation:

Sphere

Answer:

I) coordinate of P is (11, 5.5)

II) Points are not collinear

Step-by-step explanation:

I) Let the coordinates of P be (a, b)

We are told that its x-coordinate is twice its y-coordinate. Thus, a = 2b

Now, P is equidistant from R(-2, 4) and S(6,-4). Thus;

PR = PS

Using the formula for distance between two coordinates, we have;

√((a - (-2))² + (b - 4)²) = √((a - 6)² + (b - (-4))²)

This gives;

(a + 2)² + (b - 4)² = (a - 6)² + (b + 4)²

Since a = 2b,then we have;

(2b + 2)² + (b - 4)² = (2b - 6)² + (b + 4)²

4b² + 8b + 4 + b² - 8b + 16 = 4b² - 12b + 36 + b² + 8b + 16

Simplifying this gives;

20 = 42 - 4b

42 - 20 = 4b

4b = 22

b = 22/4

b = 11/2

b = 5.5

Since a = 2b

Then a = 2 × 5.5

a = 11

Thus, coordinate of P is (11, 5.5)

II) Formula for area of triangle formed by three points is given as;

A = ½|(x1 - x2) (x2 - x3)|

|(y1 - y2) (y2 - y3)|

x1 - x2 = 11 - (-2) = 13

x2 - x3 = -2 - 6 = -8

y1 - y2 = 5.5 - 4 = 1.5

y2 - y3 = 4 - (-4) = 8

Thus;

A = ½|13 -8|

|1.5 8|

A = ½((13 × 8) - (1.5 × - 8))

A = ½(104 + 12)

A = 58

Since the area is not zero, then it means the points are not collinear.