Which number identifies the amount of fuel remaining in the tank? cross out A. 0.312 cross out B. 0.375 cross out C. 0.550 cross out D. 0.625

The statement is sometimes true. If two triangles have congruent angles, they are similar but not necessarily congruent.

The statement is sometimes true. If △ABC has angles that measure 10° and 40°, and △DEF has angles that measure 40° and 120°, we can determine their congruence by comparing their angles. If two triangles have congruent angles, they are similar but not necessarily congruent. Therefore, △ABC and △DEF are similar triangles but not necessarily congruent.

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Answer:

-6.5n+14.5 and 8,f(n+1)=f(n)-6.5

Step-by-step explanation:

The equation of the perpendicular bisector of the segment with endpoints R(-1,6) and S(5,5) is found by calculating the midpoint, slope, and using the negative reciprocal for the perpendicular slope. It is then written in point-slope form and converted to standard form, resulting in 12x - 2y = 13.

To find the equation of a line that is the perpendicular bisector of a segment with endpoints R(-1,6) and S(5,5), we need to take the following steps:

The midpoint of RS is given by ((-1+5)/2, (6+5)/2) = (2, 5.5). The slope of RS is (5-6)/(5-(-1)) = -1/6. The negative reciprocal of -1/6 is 6. Thus, the slope of our bisector is 6.

Using the point-slope form with the midpoint, y - 5.5 = 6(x - 2). Expanding and rearranging to standard form, we get:

6x - y = 12 - 5.5 -> 6x - y = 6.5.

Multiplying through by 2 (to clear the decimal), we obtain:

12x - 2y = 13, which is the standard form equation of the perpendicular bisector of segment RS.

The integral of the vector field 2 (6t i − t3 j + 2t3 k) from 0 to t can be broken down into three separate integrals for each component, yielding the resulting integral vector of (6t^2)i - (0.5t^4)j + (t^4)k.

The integral you're asking about is a vector field integral, which comes up primarily in physics-related problems. The integral of a vector field, in this case, 2 (6t i − t3 j + 2t3 k) with respect to time, can be broken down into three separate integrals, each corresponding to a different component.

To solve, you would perform each integral separately:

Combine these answers to yield the integral vector (6t^2)i - (0.5t^4)j + (t^4)k as the solution. Please remember to always check your calculations to ensure accuracy!

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Answer:

Hence, x = 2.

Step-by-step explanation:

Given  : Given: 2x + 11 = 15 .

To find : Prove: x = 2.

Solution : We have given   2x + 11 = 15 .

On subtracting both sides by 11

2x = 15 - 11

2x = 4

On dividing both sides by 2

x = 2

Hence, x = 2.

Therefore,  Hence, x = 2.

What times what equals 46 is 2 times 23, or 2 x 23 = 46.

We have,

To find what times equal 46, we can look for pairs of numbers that, when multiplied together, result in 46.

We can start by listing the factors of 46:

1 x 46 = 46

2 x 23 = 46

From these factor pairs, we can see that 2 and 23 are the numbers that multiply to 46.

Therefore,

What times what equals 46 is 2 times 23, or 2 x 23 = 46.

Learn more about expressions here:

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Answer:

A

Step-by-step explanation:

ur welcomes

Frank needs [tex]\( \frac{11}{8} \)[/tex] pounds of carrots to make one carrot cake.

To find out how many pounds of carrots Frank needs to make one carrot cake, we first need to determine how many pounds of carrots are used per carrot cake in the original recipe.

Given that the restaurant uses 8(1)/(4) pounds of carrots to make 6 carrot cakes, we divide the total pounds of carrots by the number of cakes to find the amount per cake.

[tex]\( \text{Carrots per cake} = \frac{8\frac{1}{4}}{6} \)[/tex]

First, we convert the mixed number [tex]\(8\frac{1}{4}\)[/tex] to an improper fraction:

[tex]\(8\frac{1}{4} = \frac{(8 \times 4) + 1}{4} = \frac{33}{4}\)[/tex]

Then, divide by 6:

[tex]\( \frac{33}{4} \div 6 = \frac{33}{4} \times \frac{1}{6} = \frac{33}{24} = \frac{11}{8} \)[/tex]

So, Frank needs [tex]\( \frac{11}{8} \)[/tex] pounds of carrots to make one carrot cake.

To find the outside temperature, add the difference of 183.6°F to the dry ice temperature of -109.3°F, yielding an outside temperature of 74.3°F.

The student is asking to find the outside temperature given that dry ice temperature is -109.3°F and that the outside temperature is 183.6°F higher than the dry ice. We can solve this by adding the temperature difference to the dry ice temperature.

Let's denote the outside temperature as T.

T = (-109.3°F) + 183.6°F

Now, let's perform the addition:

T = 74.3°F

Therefore, the outside temperature is 74.3°F.

Final answer:

The outside temperature can be calculated by subtracting 183.6°F from the temperature of dry ice (-109.3°F).

Explanation:

The outside temperature can be calculated by adding the temperature difference to the temperature of dry ice. The temperature difference is given as 183.6°F less than the outside temperature, which means we need to subtract 183.6°F from the temperature of dry ice (-109.3°F). So, the outside temperature would be -109.3°F + (-183.6°F) = -293.9°F.

Answer:

a. Removing two (-4)'s

b. Picking up three (-3)'s or removing three 3's

c. Removing two (-3)'s and one (-4)'s

d. Removing three 5's and one 3's

Step-by-step explanation:

Cards available: 5, -3, -4, & 3

a. Score can be increased picking up positive cards or removing negative cards.  

b. Score can be decreased picking up negative cards or removing positive cards.  

c. As stated before, in order to increase the score removing cards, positive cards have to be removed.

d. As stated before, in order to decrease the score with positive cards, those cards have to be removed.

The standard form of 210 million, 64 thousands, and fifty is 210,064,050. This is found by adding the values of each place: 210,000,000 for million, 64,000 for thousand, and 50 for the units.

The standard form of a number is a way of writing numbers that is commonly used in mathematics, especially in arithmetic and place value studies. To write the number 210 million, 64 thousands, and fifty in standard form, one combines these values considering their place values.

The value of 210 million is simply 210,000,000. The value of 64 thousands is 64,000, and the value of fifty is 50. When these are combined, we get:

Adding these together:

210,000,000 + 64,000 + 50 = 210,064,050

Therefore, the standard form of 210 million, 64 thousands, and fifty is 210,064,050.

If he attempted 24 passes, he completes 21 pass.

The numerical association of two values that shows how frequently one value includes or is contained inside another is called ratio.

Given, The ratio of a quarterback completed passes to attempted passes is 7 to 8.

If he attempted 24 passes.

To find the number of passes, he completes:

24 x 7/8

= 3 x7

= 21

Hence, he completes 21 passes.

To learn more about the ratio;

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Answer:

[tex]6\frac{3}{4}[/tex] pieces.

Step-by-step explanation:

Let x represent number of pieces.

The amount of wax used in making x pieces would be [tex]\frac{2}{3}x[/tex].

We have been given that a candle maker has 4 1/2 pounds of wax. We can represent this information in an equation as:

[tex]\frac{2}{3}x=4\frac{1}{2}[/tex]

[tex]\frac{2}{3}x=\frac{9}{2}[/tex]

[tex]\frac{3}{2}*\frac{2}{3}x=\frac{3}{2}*\frac{9}{2}[/tex]

[tex]x=\frac{27}{4}[/tex]

[tex]x=6\frac{3}{4}[/tex]

Therefore, the candle maker can make [tex]6\frac{3}{4}[/tex] pieces.

Answer:

150 Degrees

Step-by-step explanation:

We have to find one and two third of a right angle.

That is we have to basically find [tex]1\displaystyle\frac{2}{3}\text{ of a right angle.}[/tex]

The measure of a right angle in degrees is 90 degrees.

[tex]1\displaystyle\frac{2}{3}\times 90[/tex]

We convert the mixed fraction into unlike fraction

[tex]\displaystyle\frac{5}{3}\times 90 = 150[/tex]

Thus, one and two third of a right angle is 150 degrees or [tex]150^\circ[/tex]