Find the greatest common factor of 14w^3 and 15w^4

The garden club earned $15 per hour by weeding neighborhood gardens for t hours.

A generous donor has agreed to double their earnings.

Double their earnings means we multiply by 2

So earning 15 per hour becomes 2*15 = 30 per hour

Given the number of hours is t

Earnings = $30 times number of hours

Earnings = 30 * t

Given that earning for 1 hour by weeding neightborhoods garden = $15

Then earning for 2 hours by weeding neightborhoods garden = $15*2= $30

Then earning for 3 hours by weeding neightborhoods garden = $15*3

Using same pattern earning for t hours by weeding neightborhoods garden = $15*t= $15t

Not it says that earning is doubled means you are getting 2*15 or $30 per hour

then new earning will be $30t in place of $15t

Hence final answer is $30t.

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you have to divide the final width of the billboard between the current width of the invoice.

[tex]\frac{48 feet }{6.14 inches} =7.81\frac{feet}{inches}[/tex]

Therefore the correct answer is option D.

In order for the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet in length by inch in length.

63.66%x=24

x=240000/6366

=40000/1061

12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle

Answer:

The shape of planetary orbits follows from the observed fact that the force of gravity between two objects depends on the square of the distance between them. ... Ellipses are closed so the planets we see in elliptical orbits stick around.

Step-by-step explanation:

We can write the equation for the planet's orbit:[tex]\[ \frac{x^2}{(817,000,000)^2} + \frac{y^2}{(741,000,000)^2} = 1 \][/tex]

To find an equation for the planet's orbit, we can use the properties of an ellipse. The standard form of the equation for an ellipse with its center at the origin and major and minor axes along the x and y-axes is:

[tex]\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \][/tex]

In your problem, the distances at perihelion and aphelion are given as 741,000,000 km and 817,000,000 km, respectively. These distances represent the values of \(a\) and \(b\) in our equation.

So, we have:

[tex]\[ a = 817,000,000 \text{ km} \][/tex]

[tex]\[ b = 741,000,000 \text{ km} \][/tex]

Now, we can write the equation for the planet's orbit:

[tex]\[ \frac{x^2}{(817,000,000)^2} + \frac{y^2}{(741,000,000)^2} = 1 \][/tex]

This is the equation for the planet's elliptical orbit with the sun at one of the foci, where the origin is at the center of the orbit.

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Bop estimated by subtracting 286 from 336 (equation: 336 - 286). He got the answer 50, so that is how he made his estimation.

The sample space for spinning a spinner with two sectors labeled A and B, and rolling a number cube, is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.

The sample space for the experiment of spinning a spinner with two sectors labeled A and B, and rolling a number cube, can be determined by listing all the possible outcomes. The outcomes will be the combination of all possible results from spinning the spinner (A or B) and rolling the number cube (1, 2, 3, 4, 5, or 6). Therefore, the sample space is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.

The answer to this question is 100,000 exactly.

Answer:

(1) .20 (2) .40 (3) .12 (4) Less than

Step-by-step explanation:

You have to look at the table.  There are 5 columns with 10 rows.  5x10=50

Then simply count the boxes that have the correct number of currency for instance, if they are asking for EXACTLY 1 dime then you rule out the ones that have 2 or 3 dimes and only the count the ones that have a single dime.   So you count PDN but you would not count PDD.  There are 20 boxes that have a single dime in them.  20 out of the 50 boxes. 20/50=.40 (answer 2)

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is . 20

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is . 40

The estimated probability that all three coins Avery randomly picked are pennies is . 12

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is  LESS THAN the estimated probability that exactly one of the three coins Avery randomly picked is a dime.

Answer:

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

This is a geometric sequence where r = -3.

4 x -3 = -12

-12 x -3 = 36

36 x -3 = -108

-108 x -3 = 324

Answer: 324

A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).

rule (x + 7, y − 1)

To find new  coordinates we add 7 with x  and subtract 1 from y

A(−2, 2)  -----> A' (5,1)

B(−2, 4) -------> B' (5, 3)

C(2, 4) ---------> C' (9, 3)

D(2, 2) -------->D' (9, 1)

Characteristics

When we connect all the points by line segments, the line A'B' will be parallel to C'D'.

Also, B'C' parallel to A'D'.

All the four lines forms a rectangle .

The new coordinates of the points are A'(5, 1), B'(5, 3), C'(9, 3), and D'(9, 1).

When you connect the vertices, you have a rectangular prism.

Let us say original price of the laptop was x dollars.

Price paid by Tom for the laptop = $245.97

Now this price paid by tom was 3/5 of the original price.

So we can make an equation using this information as :

[tex]\frac{3}{5}x=245.97[/tex]

So here 3/5 is in multiplication on the left, so dividing it on the right side we have:

x=409.95

So the original price of the laptop was $409.95

Answer: The original price of the laptop was 409.95 dollars.

Answer:

$409.95

I hope this helps. Have a nice day :D

Answer:

20

Step-by-step explanation:

product=240

12*x= 240

12 x =240

x=240/12

x=20

A) In this question two angles are given equal and in next step both sides are multiplied by 5 and the result of both sides is equal to each other. The property used is

"When equal are multiplied by equL number then the result is also equal" the equality property is of multiplication.

B) In this question [tex] x+3=5[/tex] is given

And then [tex] x=2[/tex]

Here number 3 is subtaracted from both the sides to make [tex] x[/tex] equal to 2.

The property of equality used is " If equal are subtracted from equal the result will be equal"

Here the equality property of subtraction is uaed.

Answer:

Distance from chin to forehead is 1.5 times the distance between ears.

Step-by-step explanation:

We are told that distance from chin to forehead for the average person is 9 inches and distance between a person's ears is 6 inches. We are supposed to compare the ratio of a person's chin to forehead distance with respect to the distance between his ears.

We can present our given information as: [tex]\frac{9}{6}[/tex]

[tex]\frac{9}{6} =1.5[/tex]

Therefore, distance from chin to forehead is 1.5 times the distance between ears.

Answer:

the answer is 3/2 I just answered and got it right

For this case we have the following variables:

A: Represents the number of adults

S: Represents the number of students

C: Represents the number of children

For the income we have:

[tex]22A + 15S + 13.50C = 7840[/tex] -----> (1)

Regarding the number of people at the concert we have:

[tex]A + S + C = 400[/tex] -----> (2)

If there are 40 more children than students, we have:

[tex]C = 40 + S[/tex] -----> (3)

We substitute C in the second equation and it remains:

[tex]A + S + 40 + S = 400[/tex]

[tex]A + 40 + 2S = 400[/tex]

[tex]A + 2S = 400-40[/tex]

[tex]A + 2S = 360[/tex]

[tex]A = 360-2S[/tex] --------> (4)

Substituting (3) and (4) in (1) we have:

[tex]22 (360-2S) + 15S + 13.50 (40 + S) = 7840[/tex]

[tex]7920-44S + 15S + 540 + 13.50S = 7840[/tex]

[tex]7920-7840 + 540 = 44S-15S-13.50S[/tex]

[tex]620 = 15.50S[/tex]

[tex]S = \frac{620}{15.50}[/tex]

[tex]S = 40[/tex]

So, there are 40 children.

Substituting S in (3) and obtaining C:

[tex]C = 40 + S[/tex]

[tex]C = 40 + 40[/tex]

[tex]C = 80[/tex]

Substituting S in (4):

[tex]A = 360-2 (40)\\A = 360-80\\A = 280[/tex]

Thus, 280 tickets of adults, 80 of children and 40 of students were sold.

Answer:

280 tickets for adults, 80 for children and 40 for students

1. The status of a statement as either true or false is Truth value.

2. A logical statement that is broken down into two parts, the hypothesis and the conclusion is Conditional statement.

3. The “if” portion of your conditional statement; what your conditional statement is about is Hypothesis.

4. The “then” portion of your conditional statement; what your conditional statement is doing is Conclusion.

5. This version of the conditional switches the hypothesis portion with conclusion portion of the statement is Converse.

6. This version of the conditional negates both the hypothesis and the conclusion portions of the statement is Inverse.

7. This version of the conditional combines the converse with the inverse and switches the hypothesis and conclusion while negating both portions is Contrapositive.

This logic question involves matching terms related to conditional statements such as truth value, hypothesis, conclusion, and forms like converse, inverse, and contrapositive.

The question relates to the study of logic, specifically the nature of conditional statements and related logical constructs. Here is the matching list based on the provided definitions:

These logical terms are essential for understanding how to construct and analyze logical arguments, and they are closely tied to the philosophical study of truth

Counter example:-  a trapazoid is a quadrilateral  which has only one pair of parallel sides unlike a rectangle which has 2.  So the conjecture is false.

Answer:

a trapezoid is a quadrilateral and it is not a rectangle

Step-by-step explanation:

r = 4*10^8 is the average distance from the earth to the moon (in meters).

m1 = 6*10^24 is the mass of the earth

m2 = 7*10^22 is the mass of the moon

G = 7*10^(-11) is the gravitational constant

Plug those values into the formula shown on the attached image (see below). Then simplify. When doing all that, I get the answer to be 1.8 * 10^20 newtons, so I'm not sure where your teacher is getting 52 as the exponent.

Total number of marbles = 10

Number of red marbles = 4

Number of blue marbles = 6

Probability = [tex]\frac{number of favorable outcomes}{total number of outcomes}[/tex]

The probability that the first marble is blue = [tex]\frac{6}{10}[/tex]

The probability that the first marble is red = [tex]\frac{4}{9}[/tex] ; 9 because 1 marble has already been taken out.

Joint probability= probability of event A * Probability of event B

= [tex]\frac{6}{10}\times\frac{4}{9}[/tex]=[tex]\frac{24}{90}= \frac{4}{15}[/tex]

20-12.50=7.50

7.50+10=17.50

17.50-14.50= 3

$3

Final answer:

The sampling distribution of the sample mean will be approximately normally distributed with a mean of 64 and a standard error calculated by dividing the population standard deviation (25) by the square root of the sample size (155).

Explanation:

The student's question involves the concept of the sampling distribution of the sample mean. Given a population with a mean (μ) of 64 and a standard deviation (σ) of 25, and drawing samples of size 155, the sampling distribution of the sample mean will have a mean equal to the population mean, which is 64. The standard deviation of the sampling distribution (σx), known as the standard error, will be the population standard deviation (σ) divided by the square root of the sample size (n), thus σx = 25/ √155. As the sample size is large, according to the central limit theorem, this sampling distribution will be approximately normal.

Therefore, the sampling distribution of the sample mean will be approximately normally distributed with a mean (μx) of 64 and a standard error (σx) which can be calculated as mentioned above.

The converse of 'If it is October 31, then it is Halloween' is 'If it is Halloween, then it is October 31.' The contrapositive is 'If it is not Halloween, then it is not October 31.'

In logic and mathematics, we often explore the relationships between statements through their converses and contrapositives. Starting with the conditional statement, 'If it is October 31, then it is Halloween,' we can form the converse and contrapositive as follows:

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letter d is one of the irrational numbers

Answer:

The answer is A and B.

Step-by-step explanation:

They cannot be expressed as a ratio of two integers.

(5y   +   6 )    -    (10y    +  3 )

Let's simplify step-by-step.

5y    +     6      −(10y    +    3)

Distribute the Negative Sign:

=        5y     +     6    +    −1(10y     +    3)

=        5y     +     6    +    −1(10y)     +     (−1)(3)

=        5y     +    6    +    −10y     +      −3

Combine Like Terms:

=       5y     +     6    +     −10y       +      −3

=      (5y     +     −10y)      +      (6     +      −3)

=       −5y     +      3

Answer:       =      −5y   +    3

Hope that helps!!!!!                                : )

Answer:

Not independent.

Step-by-step explanation:

Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04

To check whether A and B are independent.

Two events are independent if

P(A/B) = P(A) or P(B/A) = P(B) or P(AB) = P(A) P(B)

if any one of the above three is true also, the two events would be independent.

Let us find out first one

P(A/B ) = P(AB)/P(B) (as per conditional probability formula)

= 0.04/0.2=0.2

But P(A) = 0.25 and not equals P(A/B)

Hence we can conclude that A and B are not independent

because P(A/B) not equals P(A)