The length of a rectangular frame is represented by the expression 2x 8, and the width of the rectangular frame is represented by the expression 2x 6. write an equation to solve for the width of a rectangular frame that has a total area of 160 square inches. 4x2 32x 48 = 0 4x2 28x − 112 = 0 2x2 32x − 112 = 0 x2 12x 48 = 0

Answer:

4x^2

Step-by-step explanation:

(8x^3)^(2/3)

= 8^(2/3) * (x^(3))^2/3

8^(2/3) can be rewritten as ³√8²;

³√8² = ³√64

= 4

(x^(3))^2/3 = x^(3 * 2/3)

= x^2

Your solution is 4x^2, option a

Answer:

Almost 8 times greater

Step-by-step explanation:

113.1 is the original volume if you double both dimensions the new volume is 904.78

Answer:

h is the a

Step-by-step explanation:

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

a. The number of different routes from A to C is 7 + 2*4 = 15.

b. The number of different routes from A to C and back to A is 15 * 15 = 225.

c. The number of different routes from A to C and back to A in which town B is visited at least once can be calculated using the formula below: total number of routes from A to C and back to A - number of routes from A to B and back to A - number of routes from A to C and back to B + number of routes from A to B and back to C = 225 - 7*7 + 4*2 + 2*4 = 196.

d. The number of different routes from A to C and back to A that do not use any road twice is equal to the total number of permutations of all routes which can be arranged without repetition. This can be calculated using the formula below: 15P15 = 15!/(15-15)! = 1,307,674,368,000.

4. The number of nonempty collections of letters that can be formed from four As and eight Bs can be calculated using the formula below: total number of collections - number of collections with only As - number of collections with only Bs = 2^12 - 1 - 1 = 4095.

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Answer:

25

Step-by-step explanation:

Note x^2y + xy^2 = xy(x+y)

We know xy = 5 and x+y = 5, so

5*5=25

Random error is an unpredictable deviation from the true value or expected outcome in a measurement or experiment.

Random error refers to the unpredictable and uncontrollable variations that occur when making measurements or conducting experiments. It is a type of error that introduces inconsistencies and fluctuations in the data, leading to discrepancies between the observed values and the actual values.

Random errors can arise from various sources, such as equipment limitations, environmental factors, or human factors like imprecise readings or variations in technique.

Unlike systematic errors, which are consistent and biased in a particular direction, random errors are characterized by their lack of pattern or regularity. They are typically caused by factors that are difficult to quantify or account for, making it challenging to eliminate them entirely.

However, by taking repeated measurements and applying statistical analysis techniques, researchers can mitigate the impact of random errors and obtain more reliable and accurate results.

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Answer:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.

Step-by-step explanation:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line  to match up with with the points on the opposite side

Answer:

1/12

Step-by-step explanation:

I got this question on one of my quizzes

WHC 1    WWBHC 1   Explanation: there are 12 samples and they asked us to                  

WHS 2    WWBHS 2  pick 1 so it would be 1/12

             (whole wheat bread, ham, swiss)

WHA 3    WWBHA 3

WTC 4     WWBTC 4

WTS 5      WWBTS 5

WTA 6      WWBTA 6  

The car doesn't depreciate for 25 years.

Given;

The straight-line depreciation equation for a luxury car is,

y = −3,400x + 85,000 → (I)

How many years will it take for the car to depreciate?

To find the solution for a given case, from (I);

Let y = 0,

0 = -3400x + 85000

3400x = 85000

x = 85000/3400

x = 25

Hence, it takes 25 years for the car to depreciate.

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Answer:

\(\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}\)

Step-by-step explanation:

\(ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}\)

Answer:  b

Step-by-step explanation:

I think

Answer:x<-3

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

\(-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3\)

Answer:

15

Step-by-step explanation:

When smoothing time series data, it's important to ensure that the curve is not over-flattened, as this can lead to important information being lost.

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Answer:

This question was worded weirdly however I am assuming this is algebra and you need the equation. So here- -2(q-3) or -2q+6

Step-by-step explanation:

Distribute the -2, to all the terms in the parenthesis of -2(q-3) you get 2q+6

If you didnt know how to get -2(q-3), -2(multiplied) by q-3, you use parenthesis to make sure you know it is multiplication in front of the parenthesis.

Hope I could help!

Answer:

1

Step-by-step explanation:

yes

Answer:

J   7 5/8

Step-by-step explanation:

Method 1, use mixed numerals and borrowing.

8 - 3/8 = 7 1/1 - 3/8 = 7 8/8 - 3/8 = 7 5/8

Method 2, use fractions.

8 - 3/8 = 8/1 - 3/8 = 64/8 - 3/8 = 61/8 = 7 5/8

Answer:

A :10.5 is the answer

Step-by-step explanation:

Using a specific example, we will explore how the cross product behaves under scalar multiplication. In conclusion, the statement does not hold true for all vectors and scalars. The behavior of the cross product under scalar multiplication is not commutative.

To investigate the behavior of the cross product under scalar multiplication, let's consider the vectors a = (1, 2, 3) and b = (4, 5, 6), and a scalar value k = 2.

First, we compute ka × b:

ka × b = 2a × b = 2(1, 2, 3) × (4, 5, 6).

Expanding the cross product, we have:

2(1, 2, 3) × (4, 5, 6) = (2(3×6 - 2×5), 2(1×6 - 3×4), 2(1×5 - 2×4)) = (12, -12, -2).

Next, we compute (ka) × b:

(ka) × b = (2a) × b = (2(1, 2, 3)) × (4, 5, 6).

Expanding the cross product, we have:

(2(1, 2, 3)) × (4, 5, 6) = (2(2×6 - 3×5), 2(3×4 - 1×6), 2(1×5 - 2×4)) = (2, -12, -2).

Finally, we compute a × (kb):

a × (kb) = (1, 2, 3) × (2(4, 5, 6)).

Expanding the cross product, we have:

(1, 2, 3) × (2(4, 5, 6)) = (1×(2×6 - 3×5), 2×(3×4 - 1×6), 3×(1×5 - 2×4)) = (-12, -12, -6).

Comparing the results, we can see that ka × b, (ka) × b, and a × (kb) are not equal in this example. Therefore, it is not true that ka × (b) = (ka) × b = a × (kb) in general.

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Percent of the distribution falls between 100 and 175 pounds would be c. 10%. To answer this question, we need to use the standard normal distribution table or a calculator to find the percentage of the distribution that falls within a certain range of the mean.

In this case, the range is from 100 to 175 pounds, which is a distance of 75 pounds from the mean of 200 pounds.

We can use the standard normal distribution table or a calculator to find the percentage of the distribution that falls within one standard deviation of the mean. Since the standard deviation is 15 pounds, this means that approximately 68% of the distribution falls within one standard deviation of the mean.

To find the percentage of the distribution that falls within a range of 75 pounds, we can multiply this value by the proportion of the range to the standard deviation. In this case, the range is 75 pounds and the standard deviation is 15 pounds, so the proportion of the range to the standard deviation is 5. Therefore, approximately

5 * 68% = 34% of the distribution falls within the range of 100 to 175 pounds.

Therefore, the correct answer is (C) 10%.

Here is the calculation:

68% * (75 pounds / 15 pounds) = 34%

This means that approximately 34% of the distribution falls within the range of 100 to 175 pounds.

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Answer:

so I don't know what you need to be solved but if you need it in slope intercept form than the answer is

y=4/9x + 2/3

If a researcher finds that the probability of a word recognition program correctly interpreting a hand-written word is 9/10 . The number of  words that  the researcher expect the program to interpret correctly out of 40 words is 36 words.

Using this formula to find the number of words

Number of words = Probability of correctly interpreting a hand-written word × Expected words

Let plug in  the formula

Number of words = 9/10 × 40

Number of words = 36 words

Therefore we can conclude that the number of words is 36 words.

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Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options. 8 cars had exactly two of the given options during the month of July.

To determine the number of cars that had exactly two of the given options (air conditioning, automatic transmission, and power steering), we can follow these steps:

1. Find the total number of cars sold in July.
2. Subtract the number of cars with none, one, or all three options to get the number of cars with exactly two options.

Step 1: Find the total number of cars sold in July
- 24 cars had none of the extras
- 24 cars had only air conditioning
- 64 cars had only automatic transmission
- 35 cars had only power steering
- 8 cars had all three extras
Total cars = 24 + 24 + 64 + 35 + 8 = 155 cars

Step 2: Subtract the number of cars with one or all three options
- 87 cars had air conditioning
- 99 cars had an automatic transmission
- 73 cars had power steering
- 8 cars had all three extras

Total cars with at least one option = 87 + 99 + 73 - 8 = 251 cars

Now, subtract the number of cars with none or one option from the total number of cars to find the number of cars with exactly two options:

Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options
Cars with exactly two options = 155 - (24 + 24 + 64 + 35) - 8 = 155 - 147 = 8 cars
Therefore, 8 cars had exactly two of the given options during the month of July.

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Answer:  0.3144654088   Hope this helps :)

Step-by-step explanation:

Answer:

0.3144

Step-by-step explanation:

its just division

The triangle is an isosceles and similar triangle. Then the value of the variable 't' will be 5.5.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The angle will be congruent with each other. Then we have

12t + 7 = 8t + 29

Simplify the equation, then we have

12t + 7 = 8t + 29

12t  - 8t = 29 - 7

4t = 22

t = 22 / 4

t = 5.5

The triangle is an isosceles and similar triangle. Then the value of the variable 't' will be 5.5.

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Answer:

=-3.5

Step-by-step explanation:

Subtract  38.5  from both sides of the equation then Simplify, lastly you Add  

9

to both sides of the equation

Answer:

Since the point (5, 6) does not satisfy both equations at the same time, it is not a solution to the system of equations.

Step-by-step explanation:

To determine if a given point (5, 6) is a solution to a system of equations, we need to substitute the x and y values into both equations and see if they satisfy both equations at the same time. In other words, we need to see if the point satisfies both equations simultaneously.

For the first equation:

20x - 16y = 4

Substituting x = 5 and y = 6:

20 * 5 - 16 * 6 = 4

100 - 96 = 4

4 = 4

For the second equation:

6x + 19y = -5

Substituting x = 5 and y = 6:

6 * 5 + 19 * 6 = -5

30 + 114 = -5

144 = -5

Since the point (5, 6) does not satisfy both equations at the same time, it is not a solution to the system of equations.

Please mark me brainliest if I helped

Answer:

7.35

Step-by-step explanation: