line p is parallel to line Q which set of statements about the angle is true?​

Answer:

It is 407,800

Step-by-step explanation:

Because The 4 x 100,000 = 400,000

how About lets But it in another way

100,000 + 100,000 + 100,000 + 100,000= 400,000

This also works with the other multiplication things you have there. So this Is how I got the answer.

ok

Possible prices

Toy 1 Toy 2 Total Price

$12 $4 $16

$8 $8 $16

$4 $12 $16

These are the possible prices:

Answer:

\(f^{-1}\)(x)=\(\sqrt{x+3}\)  , - \(\sqrt{x+3}\)

Step-by-step explanation:

Answer:

i do not know

Step-by-step explanation:

The value of the discount d is given by   \(\\\\d=1-\frac{C}{P}\)  .

A reduction in price that is often offered for early or quick payment or to a select group of customers is called discount.

Given expression for the Profit , cost price and discount as

\(or, C = P(1-d)\)

Here d is the discount , P is the profit and C is the cost price.

Now solving the equation for d we get:

\(or, C = P(1-d)\\\\or,\frac{C}{P} =1-d\\\\or, d+\frac{C}{P}=1\\\\or, d=1-\frac{C}{P}\)

Hence the expression for calculating the discount d is given by

\(\\\\d=1-\frac{C}{P}\\\) .

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Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Answer:

area increases by a factor of 4

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is length and w is width )

doubling the length and width , that is

l = 2l and w = 2w , then

A = 2l × 2w = 4lw

that is the area is increased by a factor of 4

The logarithmic equation 2log4 - log3 + 2logx - 4 = 0 can be solved by rewriting the equation using logarithmic properties and then solving for x. The exact value of x depends on the logarithmic base used.

To solve the logarithmic equation 2log4 - log3 + 2logx - 4 = 0, we can start by applying logarithmic properties. Using the properties

log(a) - log(b) = log(a/b) and log(a^b) = b log(a), we can rewrite the equation as log(4^2) - log(3) + log(x^2) - log(10,000) = 0.

Simplifying further, we have 2 log(16) - log(3) + 2 log(x) - 4 = 0.

Next, we can combine the logarithmic terms using the property

log(a) + log(b) = log(a * b). This gives us log(16^2 * x^2 / 3) - 4 = 0. Simplifying the logarithm, we have log(256x^2/3) - 4 = 0.

To isolate the logarithm, we can apply the property a = b implies 10^a = 10^b. In this case,

10^(log(256x^2/3) - 4) = 10^0. This simplifies to 256x^2/3 = 10^4.

Finally, we solve for x by rearranging the equation. Multiplying both sides by 3/256, we get x^2 = (3/256) * 10^4. Taking the square root of both sides, we have x = ±√(3/256) * 10^2. Thus, the exact value of x depends on the logarithmic base used, but this provides the general form of the solution.

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Answer:

C

Step-by-step explanation:

If 30% of the entire population of students are seniors, then this will apply to the female population as well. This means that the probability of being a female senior is 30% * 54%=0.3*0.54=0.162=16.2%, or answer choice C. Hope this helps!

Answer:

the expression would be y=75x+100

Step-by-step explanation:

so what u would do is have multiples of 75. the worker gets paid 75 per hour, so in the chart u do 75, 150, so on. the flat fee is 100 dollars, this the y intercept in the equation. the 75x is the slope. so for the question, it asks how much it costs for 5 hours. here u would do 5 times 75. hope this helps :)

The measure of the other diagonal line is 6.8 inches

A kite is a quadrilateral with two distinguishable consecutive sides. The area of a kite can be calculated by the multiplication of the two diagonal lines divided by 2.

Mathematically, we have:

\(\mathbf{A = \dfrac{pq}{2}}\)

where:

∴

Using the formula for an area of a kite to determine the other diagonal length, we have:

\(\mathbf{51.68 \ inches^2 = \dfrac{15.2 \ inches \times q}{2}}\)

\(\mathbf{q = \dfrac{51.86 \ inches^2 \times 2}{15.2 inches} }\)

q = 6.8 inches

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Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 12 from both sides.

Step 3: Divide both sides by 21.

Step 4: Check if solution is correct.

Therefore, x = 8.

According to simple interest, Sally initially put $1,150 into the savings account.

To solve this problem, we need to use the formula for simple interest, which is:

Simple Interest = Principal x Rate x Time

We know that the interest earned is $745.20, the rate is 7.2%, and the time is 9 years. We can plug these values into the formula and solve for the principal:

$745.20 = Principal x 0.072 x 9

$745.20 = 0.648 x Principal

Principal = $1,150

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Answer:

35

Step-by-step explanation:

answer

hx2

Step-by-step explanation:

Ms. Candice has a total of 32 softballs, and each softball weighs 7 ounces. When the students take 4 softballs for recess, we need to subtract the weight of those 4 softballs from the total weight of all the softballs.

The weight of 4 softballs can be calculated by multiplying the weight of one softball (7 ounces) by the number of softballs taken (4). So, the weight of the 4 softballs taken is 7 ounces/softball * 4 softballs = 28 ounces.

To find the weight of the leftover softballs, we subtract the weight of the 4 softballs taken from the total weight of all the softballs. The total weight of the softballs is the weight of one softball (7 ounces) multiplied by the total number of softballs (32). So, the total weight of all the softballs is 7 ounces/softball * 32 softballs = 224 ounces.

The weight of the leftover softballs can be found by subtracting the weight of the 4 softballs taken from the total weight of all the softballs: 224 ounces - 28 ounces = 196 ounces.

Therefore, the weight of the leftover softballs is 196 ounces.

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Answer:

3 - 2n

Step-by-step explanation:

Answer:

The answer is C) 5x + 2y = 4

Step-by-step explanation:

Answer:

6 x 6

Step-by-step explanation:

None of these options are correct, the correct answer should just be 6x6.

A would be 729.

B would be 18.

C would be 216.

D would be 12.

Answer:

1008 \(cm^2\)

Step-by-step explanation:

Given:

Triangular prism with

Base of triangle = 5 + 9 = 14 cm

Height of triangle = 12 cm

Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm

Lengths of faces = 13cm ,14cm and 15 cm respectively

To find:

Total surface area = ?

Solution:

3 faces are rectangular shape and 2 faces are triangular shape.

\(Area\ of\ rectangle = Length \times Width\)

The formula for Total Surface Area of a triangular prism is given as:

\(TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2\)

So, the total surface area of the given triangular prism is 1008 \(cm^2\).

Answer:

llllllllllewwqqqqqqsddc

Step-by-step explanation:

skskskooookkkk

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Using proportions, it is found that 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

A proportion is a fraction of a total amount. From it, the amount of times a measure a is greater than a measure b is given by a divided by b.

In this problem:

Hence, 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

Hence, applying the proportion:

\(\frac{1.43 \times 10^{10}}{7.07 \times 10^9} = \frac{14.3 \times 10^9}{7.07 \times 10^9} = 2.04\)

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Answer:

Each banana is about 0.31 cents

Step-by-step explanation:

1. \(\frac{1.88}{6}\)

2. = 0.313333 ( and the three continues on...)

Answer:Each banana is about 0.31 cent

Step-by-step explanation:

The probability that 15 or more of them would agree with the claim is 0.9703 = 97.03%

For each adult, there are only two possible outcomes. Either they can agree with the claim, or they do not.

The probability of an adult agreeing with the claim is independent of any other adult, which defines that the binomial probability distribution is used.

Binomial probability distribution

It is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X=x)=C_nx.P^x(1-p)^n^-^x\)

Which is the number of different combinations of x objects from a set of n elements, which are given in the following formula.

\(C_nx=\frac{n!}{x!(n-x)!}\)

where p is the probability of X happening.

only 75% of adults believe that an unattractive smile hurts career success.

This means that p=0.75

Suppose that 25 adults are randomly selected.

This means that n=25

This is:

P(X≥15)=1-P(X<15)

In which:

P(X≤15)=P(x=0)+P(X=1)+P(X=2)+....P(X=13)+P(X=14)

14 is below the mean, so we start below and go until the probability is 0. Then

\(P(X=x)=C_nx.P^x(1-p)^n^-^x\)

P(X=14)=C₂₅,₁₄(0.75)¹⁴.(0.25)¹¹=0.0189

P(X=13)=C₂₅,₁₃(0.75)¹³.(0.25)¹²=0.0074

P(X=12)=C₂₅,₁₂(0.75)¹².(0.25)¹³=0.0025

P(X=11)=C₂₅,₁₁(0.75)¹¹.(0.25)¹⁴=0.0007

P(X=10)=C₂₅,₁₀(0.75)¹⁰.(0.25)¹⁵=0.0002

P(X=9)=C₂₅,₉(0.75)⁹.(0.25)¹⁶=0

Then

P(X<15)=P(X=14)+P(X=13)+P(x=12)+P(X=11)+P(x=10)+P(X=9)

0.0189+0.0074+0.0025+0.0007+0.0002.0=0.0297

And

(P≥15)=1-P(x<15)=1-0.0297=0.9703

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Answer:

I and II only

Step-by-step explanation:

plug in the x and y

To find the LSQ quadratic polynomial for the given data set, we need to start with creating the design matrix and observation vector. The design matrix X is constructed using the x values of the data set and is given by:
X = [1 -2 4; 1 0 0; 1 -2 4; 1 1 1]

Here, each row corresponds to one data point, with the first column representing the constant term, the second column representing the linear term, and the third column representing the quadratic term.
The observation vector y is constructed using the corresponding y values of the data set and is given by:
y = [1; 1; 1; 3]
Now, to find the LSQ quadratic polynomial, we need to solve the linear system X'Xp = X'y, where p is the parameter vector containing the coefficients of the quadratic polynomial.
Solving this system, we get:
p = [-11/4; 1/2; 9/4]
Therefore, the best fit quadratic polynomial for the given data set is:
y(x) = 20 - 11/4x + 1/2x^2 + 9/4x^2
Note that the constant term 20 is not obtained from the linear system and is instead taken directly from the polynomial form.

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Answer:  A

Step-by-step explanation:

The solution to the inequality is x <= -5 and x>=-3 so A is correct

Answer:

(-4,0)

Step-by-step explanation:

if you substitute the number 0 then it is (-4,0). and there is your answer!