A family on vacation travels 360 miles in 8 hours. At this rate,
how many miles did they travel in the first 6 hours?
270 miles
B 320 miles
770 miles
110 miles

Answer:

3+10=13+17=30+24=54+0=54

The simplified expression is [-6x² - 2x + 40]/[(x² - 6x+8)(x-2)]. To multiply and write the answer in the simplest form for the expression (x²+7x+10)/(7x-28) * (-6x+8)/(x²-4), you can follow these steps:

Simplify each expression separately

(x²+7x+10)/(7x-28) can be factored as (x+5)/(7(x-4)).

(-6x+8)/(x²-4) can be factored as -2(3x-4)/((x+2)(x-2)).

Multiply the numerators and denominators together:

(x+5)/(7(x-4)) * -2(3x-4)/((x+2)(x-2)) = [(x+5)(-2(3x-4))]/[7(x-4)(x+2)(x-2)].

Simplify the numerator:

Distribute -2 to (3x-4): (-2)(3x) + (-2)(-4) = -6x + 8.

Multiply (x+5) with -6x + 8: (x+5)(-6x+8) = -6x² - 2x + 40.

Simplify the denominator:

Multiply (x-4)(x+2)(x-2):

(x-4)(x+2)(x-2) = (x²-2x-4x+8)(x-2)

= (x²-6x+8)(x-2).

Write the simplified expression:

The simplified expression is [-6x² - 2x + 40]/[(x²-6x+8)(x-2)].

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If the columns of matrix B are linearly dependent, then the columns of AB are also linearly dependent.

Suppose the columns of matrix B are linearly dependent, which means there exist constants c₁, c₂, ..., cₙ (not all zero) such that c₁b₁ + c₂b₂ + ... + cₙbₙ = 0, where b₁, b₂, ..., bₙ are the columns of B.

Now, let's consider the product AB. Suppose A is an m × n matrix.

The jth column of AB is given by the product AB(:, j) = A(b₁j) + A(b₂j) + ... + A(bₙj), where b₁j, b₂j, ..., bₙj are the jth columns of B.

Substituting the linear dependence relation for the columns of B into the expression for AB(:, j), we get:

AB(:, j) = A(c₁b₁ + c₂b₂ + ... + cₙbₙ)

         = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

Since matrix multiplication distributes over column vectors, we have:

AB(:, j) = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

This shows that the jth column of AB can be expressed as a linear combination of the columns of A, multiplied by the corresponding coefficients c₁, c₂, ..., cₙ. Therefore, if the columns of B are linearly dependent, the columns of AB are also linearly dependent.

In conclusion, if the columns of matrix B are linearly dependent, then so are the columns of the product AB.

Complete Question:

Show that if the columns of B are linearly dependent, then so are the columns of AB.

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Answer: (-1, 0)

Step-by-step explanation: It is the only point that crosses the x-axis and is an answer choice.

Please mark BrainliesT!

Answer:

I hope this is right :)..

Answer:

n = 6

Step-by-step explanation:

2n - 32 = 10n - 80

2n - 10n = -80 + 32

-8n = -48

-48/-8 = 6

Answer:

can you change this picture?

Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.

Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.

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Answer: Creo que es correcto

Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.

Answer:
(a) To determine the angle in radians through which one of these tires will rotate during the warranty period, we need to find the circumference of the tire first. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.

Given that the diameter of the tire is 2.0 ft, we can calculate the circumference as follows:

C = πd = π(2.0 ft) ≈ 6.28 ft

Next, we need to find how many complete revolutions the tire will make during the warranty period. Since the tire rotates once for every circumference, we can divide the total distance covered during the warranty period by the circumference to find the number of revolutions.

The tire is warranted for 64,000 miles, which is equivalent to 64,000 × 5280 = 337,920,000 feet.

Number of revolutions = (Total distance covered during the warranty period) / (Circumference of the tire)
= 337,920,000 ft / 6.28 ft ≈ 53,780,000 revolutions

Therefore, one of these tires will rotate approximately 53,780,000 revolutions during the warranty period.

To summarize:
(a) The angle (in radians) through which one of these tires will rotate during the warranty period is approximately 337,920,000 radians.
(b) The number of revolutions equivalent to the angle in (a) is approximately 53,780,000 revolutions.

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Answer:

b=2.6

Step-by-step explanation:

b+2=4.6

Subtract both sides by 2 to isolate b

b+2-2=4.6-2

b=2.6

Therefore, b is equal to 2.6.

I hope this helps!

Answer:

that is your answer hope this helps u

Step-by-step explanation:

i Will help wit Shape A and Next Try to figure out Shape B

shape A Looks the Shape XY coordinate, which Horizontal & Vertical Line

Shape A Coordinate

X = 7, 8.5, 7,5, 7.5,

Y = 7, 7, 6.5 , 5

if you wanna to understand this coordinate between X & Y try plotting with Horizontal or Vertical Line at your Shape And you Would be Understanding about these coordinate meaning

Answer:

7^3/7(75)

Step-by-step explanation:

This is this simplified answer. If you don't understand anything please let me know

Answer:

3675

Step-by-step explanation:

Use the order of operations. Just go from left to right. So, 7 times 7 equals 49. Then, 49 times 7 equals 343. Then, divided by 7 equals 49. 49 times 75 equals 3675. I hope this helps.

Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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The answe is      8 + (-14) = -6

...

A weather front is a transition zone between two different air masses at the Earth's surface. Each air mass has unique temperature and humidity characteristics.

Answer:

\( \huge \sf \: x = 30\)

Step-by-step explanation:

x/3 = 10

\( \frac{x}{3} = \frac{10}{1} \)

Cross multiply

x = 30

Answer: The answer is 49.32

Step-by-step explanation:

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:52s+30b

Step-by-step explanation:

trust me I took the quiz

The proportion that could be used to determine if the figures represent a dilation is Two-thirds = StartFraction 5 Over 8 EndFraction.

To determine if the figures represent a dilation, we need to compare the ratios of corresponding sides of the two rectangles. In a dilation, corresponding sides are proportional, meaning that the ratios of their lengths are equal.

In this case, we have the first rectangle with a length of 5 and a width of 2, and the second rectangle with a length of 8 and a width of 3. By comparing the lengths, we have the proportion Two-thirds = StartFraction 5 Over 8 EndFraction.

If the proportion holds true, it means that the lengths are proportional and the figures represent a dilation. The given proportion represents the relationship between the lengths of the corresponding sides of the rectangles, and if it is satisfied, it indicates that the figures are dilations of each other.

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Answer:

m = -5/2

b = 3

Step-by-step explanation:

The equation is in y = mx +b form where m is the slope and b is the y-intercept.  This means that the slope is -5/2 and the y-intercept is 3.

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

Step-by-step explanation:

x2-6x-7=2

(x2-6x-7)+7=2+7 -6x+x2+7. 6x+x2=9

Answer:

B. 1tbsp

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I tbsp is always larger than 1tsp

Answer:

y=4/15x

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

Where m is the slope of the line,

b is the y-intercept

it passes trough point (0;0) ⇒ b=0 ⇒ y=mx

it passes trough point (7.5;2) ⇒ 2=7.5m  ⇒ m=2/7.5=4/15

y=4/15x