2450 + 150x =350
5. You spend half of your allowance at the movies, and you mow lawns over the weekend to earn an extra $12. If you currently have $25, how much allowance did you receive?

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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======================================================

Explanation:

Use the distance formula to calculate the distance from R to S. This is identical to the length of segment RS.

\(R = (x_1,y_1) = (-3,-1) \text{ and } S = (x_2, y_2) = (0,3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-0)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\\)

Segment RS is exactly 5 units long.

-----------------------

Repeat similar steps to find the length of segment ST

\(S = (x_1,y_1) = (0,3) \text{ and } T = (x_2, y_2) = (3,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (3-0)^2}\\\\d = \sqrt{(-3)^2 + (3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d \approx 4.2426\\\\\)

ST is roughly 4.2426 units long.

------------------------

Lastly, let's calculate the length of segment TR.

\(T = (x_1,y_1) = (3,0) \text{ and } R = (x_2, y_2) = (-3,-1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-3))^2 + (0-(-1))^2}\\\\d = \sqrt{(3+3)^2 + (0+1)^2}\\\\d = \sqrt{(6)^2 + (1)^2}\\\\d = \sqrt{36 + 1}\\\\d = \sqrt{37}\\\\d \approx 6.0828\\\\\)

TR is about 6.0828 units long.

------------------------

Summary of the segment lengths:

The three sides are different lengths.

Therefore, the triangle is scalene.

Answer:

-2/5

Step-by-step explanation:

Answer:

x = -2/5 or -0.4

Step-by-step explanation:

The non-permissible replacement of the variable in a certain expression is the value of x that will make the denominator of the expression zero.

=============================================================

Then,

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5 or -0.4

Answer:

Greater than 10 but less than 100.

Step-by-step explanation:

So 300% of 6 is 18.

10<18

18<100

Hope this helps <3

The expression that represents the shaded length of the number line would be = 3/20 × 9/20. That is option C.

A number line is defined as the graduates line that is used to represent the position of both positive and negative real numbers.

The shaded length of the number line contains 20 bars with a total of 9 shaded bars.

There are a total number of 3 per each bar of the number line, therefore, the shaded length of the number line would be = 3/20 × 9/20.

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Answer:

10

Step-by-step explanation:

Answer:

either 1/9 or -1/9, they both work

Step-by-step explanation:

the problem is |-9x| + 3 = 4

-9x = 1

x = -1/9

and since it is absolute value you use both the positive and the negative...

hope this helps

Answer:

60 degrees

Step-by-step explanation:

A triangle is 180 degrees and there is already 40 and 80 degrees.

So... 180-80-40=60 degrees.

Hope this helps :D

The probability outcome that cannot be considered a probability outcome is B. -0.6.

This is because probabilities cannot be negative. All other options can be considered as probabilities, as they fall within the range of 0 to 1, or 0% to 100%. Remember that in a probability experiment, the probability of an event occurring is always between 0 and 1, or 0% and 100%. A probability of 0 means that the event will not occur, while a probability of 1 or 100% means that the event will definitely occur. Any value outside of this range is not a valid probability.

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Answer:

\(t_7 =\frac{5}{729} \)

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) =\(\frac{1}{3}\)

The nth term of a geometric sequence is given as:

\(t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}\)

Answer:

Step-by-step explanation:

3(x + 4) - 5 = 2x + 4

solve for x

x = -3

Answer:

D 5x + 13 = 12

Step-by-step explanation:

3 + 5(x + 2) = 12

3 + 5x + 10 = 12

5x = -1

x = -1/5

D) 5x + 13 = 12

5x = 12 - 13 = -1

x = -1/5

Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm

The value of the test statistic, z, for this 1-tailed, 1-sample test for population means is 1.6.

To perform the 1-sample test for population means using the z distribution, we compare the sample mean (x) to the hypothesized population mean (μ) and calculate the test statistic z. The formula for the test statistic is:

z = (x - μ) / (σ / √n)

Given that the average price of a training manual in the last five years was $58 with a population standard deviation of $11, and a random sample of 72 titles published in 2019 had an average price of $63, we can calculate the test statistic as follows:

z = (63 - 58) / (11 / √72) ≈ 1.6

In this case, the test statistic z has a value of approximately 1.6. This value represents the number of standard deviations the sample mean is away from the hypothesized population mean. To make a conclusion about the hypothesis, we would compare the calculated test statistic to the critical value based on the desired significance level (e.g., α = 0.05) from the z-table or use a statistical software to obtain the p-value associated with the test statistic.

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1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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To complete the first space on the table, we need to replace g(x) by 7 and solve for x as:

g(x) = -4x - 1

7 = -4x - 1

7 + 1 = -4x - 1 + 1

8 = - 4x

8/(-4) = -4x/(-4)

-2 = x

So, the first space is -2

Then, for the second space, we need to replace x by 0 and calculate g(x) as:

g(x) = -4x - 1

g(x) = -4*0 - 1

g(x) = 0 - 1

g(x) = -1

So, the second space is -1

The third space is calculated as the first one, replacing g(x) by -13 and solving for x:

g(x) = -4x - 1

-13 = -4x - 1

-13 + 1 = -4x - 1 + 1

-12 = - 4x

-12/(-4) = -4x/(-4)

3 = x

So, the third space is 3

Finally, the fourth space is calculated as the second one, replacing x by -1, so:

g(x) = -4x - 1

g(x) = -4*(-1) - 1

g(x) = 4 - 1

g(x) = 3

So, the fourth space is 3

Answer:

x g(x)

-2 7

0 -1

3 -13

-1​ 3

Answer: 6.25%

Step-by-step explanation:

50 chicks were purchased at Rs. 60. The total cost of the chicks is:

= 50 * 60

= Rs. 3,000

10 of the chicks died which means the farmer was left with 40 chicks.

These chicks are sold at Rs. 80. Total revenue from the sales are:

= 40 chicks * 80

= Rs. 3,200

The profit is:

= 3,200 - 3,000

= Rs. 200

The percentage is:

= Profit / Revenue

= 200 / 3,200

= 6.25%

The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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Answer:

Ascending order:

Decreasing order:

Answer:

Theoretically, since it has two sides, it's a 50 50, chance. 50%

Answer:

=$3.02

Step-by-step explanation:

$19.20 ÷ 6= $3.02

Hope I helped :))

Answer:

The unit rate is $3.20

Step-by-step explanation:

Unit rate is how much 1 unit of the material costs. So in our case the material is the ribbon. In order to find the unit rate we need to find how much does 1 foot of ribbon cost, we do that by dividing the total cost by the total number of feet, so we do...

19.20 / 6 = 3.20

Therefore the unit rate is $3.20

Answer:

3

Step-by-step explanation:

cuz ik

If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

The value of x is 25.

The value of y is 78.

The value of z is 24.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure given we see that,

88 and y + 10 are corresponding angles.

88 = y + 10

y = 88 - 10

y = 78

Now,

3x - 7 and 2x + 18 are oposite angles.

3x - 7 = 2x + 18

3x - 2x = 18 + 7

x = 25

Now,

(y + 10) + (3x - 7) + z = 180

78 + 10 + 3 x 25 - 7 + z = 180

88 + 75 - 7 + z = 180

z = 180 - 156

z = 24

Thus,

The value of x is 25.

The value of y is 78.

The value of z is 24.

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Answer:

hey child !! you should practice some maths okay.

6 × 6 × 6 × 6 = 1296

Answer:

it's d

Step-by-step explanation:

x goes to the right 8 so it's +8

and y goes up u so it's +7

Answer:

D) (x, y) - ( x+8, y+ 7)

Step-by-step explanation:

A coordinates= (-5, -1)

Add -5+8=3

Add -1+7=6

Which gives you (3,6) which is A’

Do that to all the points and they all line up

Hope this helps :)

The integer represented by phase decrease is -4.

What is integer ?

An integer is the number zero( 0), a positive natural number( 1, 2, 3,etc.) or a negative integer with a disadvantage sign( −1, −2, −3,etc.). The integer represented by phase decrease is -4. Here, it decreased by 4 which means -4.

Thus, the answer is -4.

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Answer:

x = 135°

Step-by-step explanation:

x and y are supplementary angles, that is they sum to 180° , then

x + y = 180 ← substitute x = 3y into the equation

3y + y = 180

4y = 180 ( divide both sides by 4 )

y = 45

then

x = 3y = 3 × 45° = 135°

Properties of houses equation 2.3p - 10.1 = 6.5p - four - 0.01p is equal to the equation p = -1.455.

To rewrite the given equation the usage of properties, we can mix like phrases on the right-hand aspect and simplify:

2.3p – 10.1 = 6.5p – four – 0.01p

2.3p – 10.1 = 6.49p – 4

-4 + 10.1 = 6.49p – 2.3p

6.1 = 4.19p

p = 6.1/4.19

p ≈ 1.455

So the equation 2.3p – 10.1 = 6.5p – four – 0.01p has the answer p ≈ 1.455.

Now we can test which of the given equations have the identical answer as this one.

We can resolve every equation for p the usage of comparable residences and see which ones supply us the identical fee of p:

2.3p – 10.1 = 6.4p – 4

2.3p – 10.1 + four = 6.4p

-5.1 = 4.1p

p = -5.1/4.1

p ≈ -1.244

2.3p – 10.1 = 6.49p – 4

2.3p – 10.1 + four = 6.49p

-6.1 = -4.19p

p = 6.1/4.19

p ≈ 1.455

230p – 1010 = 650p – four hundred – p

231p – 1010 = 650p – 400

231p – 650p = -400 + 1010

-419p = 610

p = -610/419

p ≈ -1.454

23p – 101 = 65p – forty – p

24p – 101 = -40

24p = 61

p = 61/24

p ≈ 2.542

2.3p – 14.1 = 6.4p – 4

2.3p – 6.3 = 6.4p

-4.1 = 4.1p

p = -1

So the two equations that have the equal answer as 2.3p – 10.1 = 6.5p – four – 0.01p are:

2.3p – 10.1 = 6.49p – 4

and

230p – 1010 = 650p – 400 – p

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i will offer $2,813.3 more for the firm than it is truly worth. if  the risk-free rate of interest is 6% and the expected rate of return on the market is 11% with an expected perpetual cash flow of $1,000.

it can be calculate as follows:

Risk-free return (Rf) = 6%

Market return (Rm) = 11%

beta 1 = 1.1

Actual Beta (B2) = 2.2

capital cost Kc =Rf + B1 (Rm-Rf)

Capital cost using estimated beta = 6 + 1.1 (11 - 6) = 11.5 %

Capital cost using actual beta = 6 + 2.2 (11- 6) = 17 %

Cash flows are received till perpetuity $1000

Valuation of the firm =   cash flow    

                                  cost of capital

Valuation at 11.5% cost of capital =   1000   = approximately $8,695.65                                                

                                                       0.115

Valuation at 17% cost of capital =   1000   = approximately $5,882.35                                                

                                                      0.17

Excess value over true value delivered = $8,695.65 - $5,882.35= $2,813.3

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