A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?

Answer:

To find the product of 568.32 and [tex]10^{4}[/tex], move the decimal point in 568.32 4 places to the right because [tex]10^{4}[/tex] has 4 zeros.

Step-by-step explanation:

[tex]10^{4}[/tex] = 10000

568.32 · 10000 = 5683200

the decimal point moved 4 places to the right because 10000 has 4 zeros.

hope this helps!

Using algebra tiles to represent the polynomial x² + 18x + 80 would be problematic due to the large number of tiles required.

Algebra tiles are mathematical manipulatives that help students better understand algebraic thinking patterns and concepts. These tiles have shown to be useful as physical examples

Using algebra tiles to represent the polynomial x² + 18x + 80 would be problematic due to the large number of tiles required.

Due to a large number of tiles. Hence algebra tiles not be a good tool to use to give a factor.

To learn more about the algebra tiles refer to the link;

https://brainly.com/question/22560523

Answer:

Sample response: Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

43.7683

Step-by-step explanation:

When multiplying by 10s, the decimal point moves. Since it is a fraction, making it lesser than an actual 10, the decimal point moves one space to the left (instead of right)

437.683

Take away 430 because we don't need it for this step

7.683

10% of 7.683 = 0.7683

add back 43

your answer is:

43.7683

hope this helps :)

[tex]xz = 2 \times xyz = 2 \times 72 = 144[/tex]

Answer:

144

Step-by-step explanation:

72*2=144

Answer: The answer is B.

Step-by-step explanation:

The additive inverse of a number gives zero. The additive inverse of the complex number -8+3i is 8-3i.

The additive inverse of a number is the other number which when added to the initial number gives the output as zero.

As we know about the additive inverse, therefore, we need a number that will return zero when added to the complex number.

The additive inverse of the complex number -8+3i will be,

[tex](-8+3i) + (8-3i) = 0[/tex]

Thus, the additive inverse of the complex number -8+3i is 8-3i.

Learn more about Additive Inverse:

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Answer:

8-3i

Step-by-step explanation:

got it right

Answer:

  14 ohms

Step-by-step explanation:

The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.

__

The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)

The longer wire will have a resistance of 14 ohms.

Answer:

Step-by-step explanation:

Angles DAB and BAC are supplementary angles because they form a straight line, meaning they add up to 180°.

[tex]\sf \angle DAB+\angle BAC = 180^o[/tex]

[tex]\sf 123^o+\angle BAC=180^o[/tex]

[tex]\boxed{\sf \angle BAC= 57^o}[/tex]

Interior angles of a triangle always add up to 180°:-

[tex]\sf \angle ABC +\angle BAC+\angle x= 180^o[/tex]

[tex]\sf 58^o+57^o+\angle x=180^o[/tex]

[tex]\boxed{ \sf \angle x=65^o}[/tex]

_________________________

The true statements about the figure are:

Volume = 1/3(length)(width)(height)

The volume of the composite figure = sum of the volume of each rectangular pyramids.

The two pyramids have the same height and base. Therefore:

Volume of the composite figure = 2[1/3(length)(width)(height)] = 2[1/3(9)(1.5)(5)]

Volume of the composite figure = 45 units³

Learn more about the volume of a rectangular pyramid on:

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#SPJ2

Answer:

A,D

Step-by-step explanation:

Answer:

216 I belive

Step-by-step explanation:

Answer:

8/17

Step-by-step explanation:

A cosine of an acute angle in a right triangle is equal to the length of the shorter side divided by the length of hypotenuse.

Answer:

D) 3/8 of the blanket

Step-by-step explanation:

Adding up the pink and green parts, then subtracting it from 1 would yield the white area. Finding a common denominator gives: 2/8 + 3/8 which is 5/8. So 5/8 of the blanket is not white meaning that 3/8 of the blanket is white.

Answer:

D

Step-by-step explanation:

I got it on my test

Answer:

137.25 units²

Step-by-step explanation:

A = bh/2

A = (15.25)(18)/2

A = 274.5/2

A = 137.25 units ²

I hope this helps!

The solution of the given expression  (x − 2)(x 10) = 13 are x=3 or x=-11. So the option A is correct.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

(x-2)(x+10) = 13

Subtract 13 from both sides

x²+8x-20-13=13-13

x²+8x-33=0

Factorized

(x-3)(x+11)=0

x-3=0 or x+11= 0

x=3 or x=-11

Thus, The answer is A

Learn more about quadratic equations;

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Answer:

A) 3

Step-by-step explanation:

Answer:

Option B 1/64

Step-by-step explanation:

[tex]\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}[/tex]

Hope this helps

Answer:

  (a) the density approaches infinity

Step-by-step explanation:

As with any inverse relation, when one variable gets smaller, the other gets larger.

When the volume approaches zero, the density approaches infinity.

Answer:

its A

Step-by-step explanation:

Answer:

35 units ^2

Step-by-step explanation:

First, draw lines or count how many units are between each point. Don't go diagonal, just up/down or left/right, like from point B to point A.

So I counted 5 units from point B to A, 5 units from C to D, 7 units from A to D, and 7 units from B to C.

Now, you choose two sides - one that goes up/down and one that goes left/right. This is your base and your height.

So you should have 5 and 7. Now, the equation of a rectangle is base times height (b* h) so you multiply 5 and 7 together to get your answer, 35 units ^2

I hope this helps :)

Answer: y can be equal to the gym membership fee you pay for 4 months If $24 is the month 1 deposit and × is the fixed charges for subsequent months.

Step-by-step explanation: Month 1: y=24

month 2:y=24+×

Month Month3: y= 24+2×

Month 4:y=24+3×

Using the areas of the rectangle and of the square, it is found that 24 unit squares will be used to tile the rectangle.

The area of a square of side l is given by the square of l, that is:

A(l) = l².

In this problem, we have that [tex]l = \frac{1}{10}[/tex], hence the area is given by:

[tex]A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01[/tex]

The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:

A = lw.

In this problem, we have that the measures are:

[tex]l = \frac{3}{10}, w = \frac{4}{5}[/tex]

Hence:

[tex]A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24[/tex]

The area of the rectangle is 24 times the area of the square, hence 24 unit squares will be used to tile the rectangle.

More can be learned about areas at https://brainly.com/question/10489198

The number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

A square is a plane shape with 4 sides

The formula for calculating the area of the square is expressed as:

A = l^2

Given

side length of a square = 1/10 foot

A = (1/10)² = 1/100 = 0.01 square foot

Determine the area of the rectangle

Area = length * width

Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot

Take the ratio of both areas

Ratio = 0.24/0.01

Ratio = 24 units

Hence the number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

Learn more on area of plane shapes here: https://brainly.com/question/2644832

Answer:

lateral area = 1892.1 m²

Step-by-step explanation:

The lateral surface area of the square based pyramid is required.

lateral surface area = 1/2 × perimeter × slant height

we have to find the slant height using Pythagoras theorem

base = 35

height = 27.03

slant height² =  17.5² + 27.03²

slant height² = 1036.8709 + 424.36

slant height² = 1461.2

slant height = √730.61

slant height = 27.0297983714

slant height ≈ 27.03 m

lateral area = 1/2 × perimeter × slant height

lateral area = 1/2 × 35 × 4 × 27.03

lateral area = 3784.200/2

lateral area = 1892.1 m²

Answer:29x ^442

Step-by-step explanation:

Answer:

1149125

Step-by-step explanation:

29x125x317

=29*x125*x317

=29*x442

=29x442

Answer12

Step-by-step explanation:

2

Answer:

A is the correct answer

Step-by-step explanation:

The reason is that in set B, you are multiplying by 5 at each step, in set A you are adding 25 at each step which is clearly slower. to check this out try to determine the 10th value of the two functions

Answer:

72,000 meters

Step-by-step explanation:

Seconds in 1 hour = 3600

20 meters = 1 second

3600x20= 72000 meters

Is this correct guys? It's how i did it

Answer:

14 [m].

Step-by-step explanation:

1) in the square ABCD AC is diagonal, its length can be calculated as AB*√2;

2) the length of AB can be calculated:

AB=√Area(ABCD); ⇒ AB=√98;

Then

3) AC=√98*√2=14 [m].

Answer:

[tex]14\:m[/tex]

Step-by-step explanation:

ABCD is a square. (Given)

[tex] \implies \: A(square) = \overline{AB} ^{2} \\ \\ \implies \: 98 = \overline{AB} ^{2} \\ \\ \implies \: \overline{AB} = \sqrt{98} \\ \\ \implies \: \overline{AB} = \sqrt{ {7}^{2} \times 2} \\ \\ \implies \: \overline{AB} = 7\sqrt{ 2}\\\\\implies \overline{AC}= \overline{AB} \times \sqrt 2 \\\\\implies \overline{AC}= 7\sqrt{ 2} \times \sqrt 2\\\\\implies \overline{AC}= 14\: m[/tex]