What is a number greater than 1,000 whose prime factorization contains 1 prime number that does not repeat, 1 prime number that repeats three times, and 1 prime number that repeats twice

Answers

Answer 1

You could just fill in the spaces.

So for the prime number that doesn't repeat, you can just say a random prime number, say like 7.

For the prime number that repeats 3 times, say like 11.

And the prime number that repeats twice, you can just say something like 13.

Then it would be 7 * 11 * 11 * 11 * 13 * 13, which the solution would be 1,574,573, above 1000.

Answer 2

find big prime numbers
we need 3 of them
23 and 19 and 101

so we can do
does not repeat
does reapat 3 times
repeats twice
(23)(19³)(101³)=8554589203
there, that's a possible number

if ya wanted a smaller one then
2 and 5 and 11 are prime
(2)(5³)(11²)=30250
that's another possible number

Related Questions

The highest point in Texas ,Guadalupe peak is 8749 feet high the highest point in California Mount Whitney is 14497 feet high. How much higher is Whitney then Guadalupe?

Answers

Just subtract 8749 feet from 14497 feet.

14497 feet
- 8749 feet
----------------
? feet

Jenny ball bounced 8 times farther than clarks ball. The two balls bounced a total distance of 36 inches. How far did Jenny's ball bounce?

Answers

Jenny = 8x
Clark's = x

8x + x = 36
9x = 36
9x/9 = 36/9
x = 4

Jenny = 8 x 4 = 32

So Clark's ball went the distant of 4 and Jenny's ball went 32

The correct answer is that Jenny's ball bounced 32 inches.

To solve the problem, let's denote the distance that Clark's ball bounced as [tex]\( d \)[/tex] inches. According to the problem, Jenny's ball bounced 8 times farther than Clark's ball, so the distance Jenny's ball bounced is [tex]\( 8d \)[/tex] inches.

The total distance bounced by both balls is the sum of the distances each ball bounced, which is given as 36 inches. Therefore, we can set up the following equation:

[tex]\[ d + 8d = 36 \][/tex]

Combining like terms, we get:

[tex]\[ 9d = 36 \][/tex]

To find the value of [tex]\( d \)[/tex], we divide both sides of the equation by 9:

[tex]\[ d = \frac{36}{9} \][/tex]

[tex]\[ d = 4 \][/tex]

Now that we have the distance Clark's ball bounced, which is 4 inches, we can find the distance Jenny's ball bounced by multiplying [tex]\( d \)[/tex] by 8:

[tex]\[ 8d = 8 \times 4 \][/tex]

[tex]\[ 8d = 32 \][/tex]

So, Jenny's ball bounced 32 inches.

Which of the following symbols correctly replaces the question mark (?) in the number comparison below?

0.700 ? 0.7

≠

Answers

You could put 0.7 = 0.700

Answer:

Step-by-step explanation:

When solving this, we just have to remember that the zero´s to the right after the decimal point are meaningless, so basically 0.700 is the same as 0.7 so in this case both number are the same, 0.700 and 0.7 are the same number expressed in different ways.

Consider the type of clothes dryer (gas or electric) purchased by each of five customers at a certain store. A. If the probability that at most one of these purchases an electric dryer is 0.428 what is the probability that at least two purchase an electric dryer?

Answers

Let event E = the event that at most one customer purchases an electric dryer (1 or 0 customer). Then E' is the event that at least two purchase electric dryers (2 or 3 or 4 or all 5 purchase an electric dryer)P(E′) = 1 – P(E) = 1 - .428 = .572

Which equation can be solved to find one of the missing side lengths in the triangle?

Answers

I think the equation would be either a perimeter equation or a volume equation.

P=a+b+c (For a two-dimensional figure)
V=1/3 Bh (For a three-dimensional figure)

Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below. (2, -4) and - 3/2

Answers

Unfortunately, you haven't shared the given graphs from which you must choose your answer.

However, you can find the equation of the correct line yourself:

Given one point (2, -4) on the line and the slope, -3/2, merely insert this info into the "point-slope form of the equation of a straight line."

y-y1 = m(x-x1) becomes y - [-4] = (-3/2)(x-2)
and this simplifies to y+4 = (-3/2)(x-2), or y = (-3/2)x +3 - 4 (and so on)

The answer should look something like this:

What is 40 1/2 divided by 13 1/2?

Answers

40 1/2 ÷ 13 1/2

Turn these into improper fractions to make it easier.

81/2 ÷ 27/2

Change the ÷ into a × and get the reciprocal of 27/2.

81/2 × 2/27
162/54
3

The answer is 3.

Identify any vertical asymptotes and horizontal asymptotes? (Enter your answers as comma-separated lists of equations. If an answer does not exist, enter DNE.) f(x) = −3(x + 3)(x − 2) / (x − 4)(x − 2)

Answers

Final answer:

The vertical asymptotes are x = 4 and x = 2, and the horizontal asymptote is y = -3.

Explanation:

The given function is f(x) = −3(x + 3)(x − 2) / (x − 4)(x − 2).

To find the vertical asymptotes, we need to determine the values of x for which the function approaches positive or negative infinity. The denominator of the rational expression cannot be equal to zero, so we set it equal to zero and solve for x: (x − 4)(x − 2) = 0. This gives us two vertical asymptotes at x = 4 and x = 2.

To find the horizontal asymptote, we need to examine the highest power of x in the numerator and denominator. In this case, both the numerator and denominator have the same highest power, which is x^1 or simply x. Therefore, to find the horizontal asymptote, we compare the coefficients of the highest power of x. The coefficient of x in both the numerator and denominator is -3. So the horizontal asymptote is y = -3.

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The vertical asymptotes of this rational function are x = 4 and x = 2.

The horizontal asymptote is y = -3.

What is a rational function?

In Mathematics and Geometry, a rational function refers to a type of function which is expressed as a fraction.

By critically observing the rational function [tex]f(x)=\frac{-3(x + 3)(x - 2)}{(x -4)(x - 2)}[/tex] shown above, we can logically deduce that its vertical asymptote can be determined by solving the denominator as follows;

(x - 2)(x - 4) = 0

x = 2 and x = 4.

Since the degree of the numerator is the same as the degree of the denominator, we can reasonably infer and logically deduce that this rational function's horizontal asymptote can be calculated by dividing the leading coefficient of the numerator by the leading coefficient of the denominator as follows;

y = -3/1

y = -3.

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How do you convert 4.2 into a fraction

Answers

4.2 = 4 20/100

4 20/100 = 4 1/5

hope this helps

.

4.2 = 4 20/100

4 20/100 = 4 1/5

An elementary school collected 1,705 bottles for a recycling program.a high school also collected some bottles.both schools collected 3,627 bottles combined. Now many bottles did the high school collected

Answers

Fhjhvvf
Cbccncjbcjbcjg ffcgggg

I think it's 1,922

3,627-1,705= 1,922

If it is springtime, you will plant flowers in the garden.
If you plant flowers in the garden, your yard will smell good.A.
If your yard smells good, then it is springtime.
law of syllogism
B.
If your yard smells good, then it is springtime.
law of detachment
C.
If it is springtime, then your yard will smell good.
law of syllogism
D.
If it is springtime, then your yard will smell good.
law of detachment

Answers

I believe it is D.If it is springtime, then your yard will smell good.
law of detachment

Final answer:

Option C correctly applies the Law of Syllogism. By combining the hypothesis from the first statement, 'If it is springtime, you will plant flowers in the garden' with the conclusion of the second, 'If you plant flowers in the garden, your yard will smell good' we form 'If it is springtime, then your yard will smell good'.

Explanation:

The question deals with logical reasoning, specifically the laws of syllogism and detachment. The Law of Syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. The Law of Detachment, also known as Modus Ponens, applies when a single conditional statement and the affirmation of its hypothesis lead to the affirmation of its conclusion.

Looking at the options:
A. The statement does not apply the law of syllogism.
B. The statement does not apply the law of detachment.
C. This statement correctly applies the Law of Syllogism. We have two statements: 'If it is springtime, you will plant flowers in the garden' and 'If you plant flowers in the garden, your yard will smell good'. Combining the hypothesis of the first with the conclusion of the second gives us 'If it is springtime, then your yard will smell good'.
D. This accurately applies the law, but the law it uses is not mentioned.

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Suppose that you have 8 cards. 5 are green and 3 are yellow. the 5 green cards are numbered 1, 2, 3, 4, and 5. the 3 yellow cards are numbered 1, 2, and 3. the cards are well shuffled. suppose that you randomly draw two cards, one at a time, and with replacement. â¢ g1 = first card is green â¢ g2 = second card is green enter the probability as a fraction. p(g1 and g2)

Answers

25/64 Since the draws are with replacement, the events are independent. So the probability of drawing a green card is 5/8 since there's 5 green cards out of a total of 8 cards. And since they events are independent, simply multiply the probability of each event together. 5/8 * 5/8 = 25/64

Final answer:

The probability of drawing a green card on both the first and second draw, with replacement, is 25/64, as each draw is an independent event with the same probability of 5/8 for drawing a green card.

Explanation:

The problem is asking us to compute the probability of drawing two green cards in succession, with replacement, from a deck that contains eight cards of which five are green and three are yellow. Since the draws are independent and with replacement, the probability of an event occurring on the first draw is not affected by the second draw, and vice versa.

To calculate the probability of drawing a green card on the first draw, denoted as P(G₁), we look at the number of green cards and the total number of cards. There are 5 green cards out of 8 total cards, so P(G₁) = 5/8.

Because we are replacing the drawn card before the second draw, the probability of drawing a green card on the second draw, denoted as P(G₂), remains the same as for the first draw, thus P(G₂) = 5/8.

The probability of both events happening, denoted as P(G₁ and G₂), is the product of the individual probabilities since the draws are independent. Therefore, we have:

P(G₁ and G₂) = P(G₁) * P(G₂) = (5/8) * (5/8) = 25/64.

As mercury revolves around the sun, it travels at a speed of approximately 30 miles per second. Convert this speed to kilometers per second. At this speed how many kilometers will Mercury travel in 2 seconds ? In your computations, assume that 1 mile is equal to 1.6 kilometers.

Answers

30*1.6 = 48 km per second

48 * 2 = 96 kilometres

The speed of Mercury around the Sun in kilometers/second is 48 kilometers/second.

In 2 seconds, Mercury will travel 96 kilometers.

What is the speed of an object?

The speed of an object is the ratio of the distance travelled by the object to the time taken by the object to travel that distance.

Given, the speed of Mercury around the Sun is 30 miles/second.

Therefore, the speed of Mercury around the Sun in kilometers/second

= (30 × 1.6) kilometers/second

= 48 kilometers/second

Now, in 2 seconds, Mercury will travel

= 48 × 2 kilometers

= 96 kilometers

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Solve for y in a=9y+3yx

Answers

hello :
a=9y+3yx
y(9+3x) = a
y = a/(9+3x).......9+3x ≠ 0

Answer:

[tex]y=\frac{a}{(9+3x)}[/tex]

Step-by-step explanation:

we have

[tex]a=9y+3yx[/tex]

Solve for y

That means -----> isolate the variable y

Step 1

Factor the variable y in the right side

[tex]a=y(9+3x)[/tex]

Step 2

Divide by [tex](9+3x)[/tex] both sides

[tex]a/(9+3x)=y(9+3x)/(9+3x)[/tex]

Step 3

Simplify

[tex]y=\frac{a}{(9+3x)}[/tex]

What is the best answer to report for (679 × 0.0025) 24.17?

Answers

To solve (679 × 0.0025) + 24.17, multiply 679 by 0.0025 to obtain 1.6975, then add this to 24.17 to get the final result, which rounded to the nearest thousandth is 25.868.

To find the best answer to report for the calculation (679 × 0.0025) + 24.17, we first perform the multiplication of 679 by 0.0025. This step is crucial to solve the problem accurately. After carrying out the multiplication, we add the result to 24.17 to find the final answer.

Calculating 679 × 0.0025 gives us 1.6975. The next step is to add this product to 24.17:

1.6975 + 24.17 = 25.8675

Thus, the best answer to report, rounded to the nearest thousandth as is common in many mathematical contexts, would be 25.868.

Complete Question:

What is the best answer to report for: (679 × 0.0025) + 24.17?

A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintains the same speed? Round to the nearest tenth.

Answers

keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

[tex]\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr} \\\\\\ \cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\ -------------------------------\\\\ \textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1[/tex]

what is -0.38,-3/8,-0.04 in order from least to greatest

Answers

-0.04, -3/8, -0.38 is the answer

A silo composed of a cylinder topped by a half-sphere. The height of the cylinder is 6.2 meters and the radius of both the cylinder and the half-sphere is 1.6 meters. Use 3.14 for pi. Find the volumes of the half-sphere, the cylinder, and the entire silo to the nearest tenth. Explain how you found the volume of the silo.

Answers

To be able to determine the volume of the entire silo, we can divide the silo into parts where we can easily calculate the volume of the parts. In this case, we divide it into a cylinder and a hemisphere. We calculate the individual volumes of these shapes and add up to represent the whole silo. We do as follows:

Volume of cylinder = πr^2h
Volume of cylinder = π( 1.6 )^2 (6.2)
Volume of cylinder = 49.86 m^3

Volume of hemisphere = 2πr^3/3
Volume of hemisphere = 2π(1.6)^3/3
Volume of hemisphere = 8.58 m^3

Volume of the whole silo = 49.86 m^3 + 8.58 m^3 = 58.44 m^3

Answer:

55.88

Step-by-step explanation:

Please solve for x
(X+4)/x=45

Answers

Work: x+4/x=45
×x both sides
X+4= 45X
-X both sides
4=45x-x
4=44x
÷44 both sides
X=1/11
Answer: x=1/11
Check your work:
1/11+4/1/11=45
1/11+44/11/(1/11)=45
45/11÷1/11=45
45/11×11/1=45
45=45

Answer is correct

Let's solve your equation step-by-step.
x+4/x = 45

Step 1: Multiply both sides by x.
x + 4 - 45x = 45x - 45x (subtract 45x from both sides)
-44x + 4 = 0
-44x + 4 - 4 = 0 - 4 (subtract from both sides)
-44x = -4
-44x/-44 = -4/-44 (divide both sides by -44)
x = 1/11

Check the answer and make sure it works x = 1/11 (works in original equation).
Final Answer x = 1/11

NOTE!!!

Forward Slash is meant as a fraction divider in this instance

Find the perimeter of square back with vertices A(-4,3), B(2,3) C(2,-3), D(-4,-3)

Answers

check the picture below, you can pretty much count the perimeter off the grid.

A sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches.

What is the radius of the golf ball?
If the ball's volume can vary between 2.45 cubic inches and 2.51 cubic inches, how can the radius vary?
identify epsilon and limit

Answers

Given that the sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches.

The golf ball is of spherical shape and the volume of a sphere is given by
[tex]V= \frac{4}{3} \pi r^3[/tex]

The radius of the golf ball is given by
[tex]\frac{4}{3} \pi r^3=2.48 \\ \\ \Rightarrow r^3= \frac{3\times2.48}{4\pi} =0.592 \\ \\ \Rightarrow r= \sqrt[3]{0.592} =0.84 cm[/tex]

For V = 2.45
[tex]\frac{4}{3} \pi r^3=2.45 \\ \\ \Rightarrow r^3= \frac{3\times2.45}{4\pi} =0.585 \\ \\ \Rightarrow r= \sqrt[3]{0.585} =0.8363 cm[/tex]

For V = 2.51
[tex]\frac{4}{3} \pi r^3=2.51 \\ \\ \Rightarrow r^3= \frac{3\times2.51}{4\pi} =0.599 \\ \\ \Rightarrow r= \sqrt[3]{0.599} =0.8431 cm[/tex]

Thus, If the ball's volume can vary between 2.45 cubic inches and 2.51 cubic inches, then the radius can vary between 0.8363 and 0.8431.

[tex] \lim_{r \to 0.84} V(r) =2.48[/tex]
because
[tex]|V(r)-2.48|\ \textless \ 0.03[/tex]
whenever
[tex]0\ \textless \ |r-0.84|\ \textless \ 0.0034[/tex]

when rounded to the nearest hundred the number of pupils in a school is 1800 what are the smallest and largest numbers of pupils there could be in a school

Answers

1749 should be rounded to 1700 because 1749 is closer to 1700 than to 1800

1750 should be rounded to 1800 because it is equally close to 1700 and 1800, and so you apply the rule than when the number to round finish in 5 you round to the next upper number.

Now, if you apply the same 1849 should be tha greater number that when rounded to hundreds becomes 1800.

So, the smalles and largest numbers of pupils there could be in the school are 1849 and 1750, respectively.

a wire 30 cm long is cut into two pieces. the longer piece is 6 cm longer than the shorter piece. find the length of the shorter piece of wire

Answers

-Sent a picture of the solution to the problem (s).

The length of the shorter piece of wire is 12 cm, which is found by setting up the equation x + (x + 6) = 30, where x is the length of the shorter piece.

The student has asked to find the length of the shorter piece of wire when a 30 cm long wire is cut into two pieces, with the longer piece being 6 cm longer than the shorter piece. To solve this, we need to set up a simple equation based on the information given.

Let's represent the length of the shorter piece as x cm. Since the longer piece is 6 cm longer than the shorter piece, we can represent the longer piece as (x + 6) cm

We are told that the total length of the wire before it was cut was 30 cm. Therefore, the sum of the lengths of both pieces must equal 30 cm. This gives us the equation:

x + (x + 6) = 30

Simplifying the equation, we get:

2x + 6 = 30

Subtracting 6 from both sides of the equation gives us:

2x = 24

Dividing both sides by 2 to solve for x gives us:

x = 12

Evaluate the exponential function ƒ(x) = 8x + 1.

Answers

x =‌ 1/8‌y + ‌−1/8

y = 8x + 1

the answer, by putting 1/3 in the place of x the answer comes out to 3.

A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6 inches

Answers

The first information we're given is, the plant grows by 1 1/6 inches per week. We are to determine the number of weeks in order for the height to be 6 1/6 inches. Using the dimensional analysis approach, the solution is as follows:

6 1/6 inches * 1 week/1 1/6 inches = 5.286 weeks

Thus, the it takes between 5 to 6 weeks before the plant can be 6 1/6 inches high.

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5 ?

Answers

Answer:

Y-4 =2/5(x-(-2)) is answer on edge

Step-by-step explanation:

Use point slope equaction y-y1=m(x-x1)

y1= 4 x1= -2 and m= 2/5 just plug in numbers

in 2010 there were 98 thousand us troops in iraq. This is 23 thousand more than half the number of us trrops in iraq in 2003 find the number of us trrops in iraq in 2003

Answers

The easiest way of determining the number of U.S troops in Iraq is:

98 thousand troops (2010) - 23 thousand = 75 thousand troops (half)

What's left to do is multiply 75 thousand by 2, and you get the number of U.S troops in Iraq.

75 thousand x 2 = 150 thousand troops.

There were a total of 150 thousand US troops in Iraq in 2003

What is the distance around a triangle that has sides measuring 2 1/8 ft 3 1/2 ft and 2 and 1/2 ft

Answers

check the picture below.

so first off, let's convert the mixed fractions to "improper fractions", and then sum them up.

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\\\ \stackrel{mixed}{2\frac{1}{8}}\implies \cfrac{2\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{17}{8}} \\\\\\ \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{7}{2}+\cfrac{17}{8}+\cfrac{5}{2}\impliedby \textit{using the LCD of 8}\implies \cfrac{(4\cdot 7)+(1\cdot 17)+(4\cdot 5)}{8} \\\\\\ \cfrac{28+17+20}{8}\implies \cfrac{65}{8}\implies 8\frac{1}{8}[/tex]

The weight of outlet boxes is proportional to the volume of boxes involved. if 400 boxes weigh 120 pounds, how much would 500 boxes weigh?

Answers

Answer:

150 lbs

Step-by-step explanation:

set up proportion

400/120 = 500/x

cross multiply
120x500 = 400x

then simplify

60000 = 400x

solve for x

60000/400 = x

x = 150

Sketch the region bounded by the curves y=9x3,y=9 and x=0 then find the volume of the solid generated by revolving this region about the x-axis.

Answers

The volume of the solid generated is 218.01 cubic units

The curves are given as:

[tex]y = 9x^3[/tex], y = 9

[tex]x = 0[/tex]

Start by calculating x at [tex]y = 9x^3[/tex]

Substitute 9 for y

[tex]9x^3 = 9[/tex]

Divide both sides by 9

[tex]x^3 = 1[/tex]

Take the cube roots of both sides

[tex]x = 1[/tex]

So, the equation of the volume is then represented as:

[tex]V = \pi \int\limits^a_b {9^2 - (9x^3)^2} \, dx[/tex]

[tex]V = \pi\int\limits^a_b {81 - 81x^6} \, dx[/tex]

Where [a,b] = [1,0]

So, we have:

[tex]V = \pi\int\limits^1_0 {81 - 81x^6} \, dx[/tex]

Factor out 81

[tex]V = 81\pi\int\limits^1_0 {1 - x^6} \, dx[/tex]

Integrate

[tex]V = 81\pi [x - \frac 17x^7]|\limits^1_0[/tex]

Expand

[tex]V = 81\pi ([1 - \frac 17(1)^7] - [0 - \frac 17(0)^7] )[/tex]

[tex]V = 81\pi ([1 - \frac 17] )[/tex]

[tex]V = 81\pi * \frac 67[/tex]

So, we have:

[tex]V = 81 * 3.14 * \frac 67[/tex]

[tex]V = 218.01[/tex]

Hence, the volume of the solid generated is 218.01 cubic units