on a recent standardized test, Ahmed scored int he 90 percentile. If 2800 people took the test, then Ahmed's score was higher than what number of scores

The correct equation is,

⇒ 8(x + 6) = 144

Now, We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Thus, The correct equation is,

8(x + 6) = 144

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The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

We have,

Two functions:

f(x) = b^x

g(x) = log_b(x)

Now,

From the table,

f(0.699) = b^0.699 = 5

Taking the logarithm of both sides with base b.

log_b(5) = 0.699

b = 5^(1/0.699)

b = 8.343

Now, we can find the value of f(1.477).

f(1.477) = b^1.477 = 8.343^1.477 = 32.857

Similarly, we can find the value of g(20).

g(20) = log_b(20) = log_8.343(20) = 1.729

Thus,

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

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Answer:  A.  85

Step-by-step explanation:

To set up an equation to solve for x you need to know:

The to 2 interior (inside) angles,  opposite of the exterior,  added together is equal to the exterior (outside) angle.

2x + 3 + 5x - 2 = 8x - 11

7x + 1 = 8x - 11

x = 12

Plug x back into the exterior angle outside angle

8(12)-11

96-11

85

The bacteria that cause foodborne illness multiply most abundantly between 40 and 140 degrees Fahrenheit.

Bacteria that cause foodborne illnesses grow and reproduce rapidly at temperatures between 40°F (4.4°C) and 140°F (60°C), which is known as the "Danger Zone." These temperatures allow bacteria to multiply rapidly and increase the risk of foodborne illness.

Therefore, it is important to keep food out of this temperature range as much as possible. Food should be kept below 40°F (4.4°C) or above 140°F (60°C) to reduce the risk of bacterial growth.

Proper cooking, refrigeration, and heating of food can help prevent the growth and spread of harmful bacteria.

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Answer:

y= -a/bx +c/b

m= -a/b

b= c/b

Step-by-step explanation:

Hope this helps

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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Answer:

Step-by-step explanation:x bars 4 and bars come in 3

Answer:

372

Step-by-step explanation:

4 out of 7 is 4/7. So just multiply 651 by 4/7

651 x 4 is 2604

2604 divided by 7 is 372.

If you turn 4/7 into a decimal, It is about 57%

And 57% of 651 is about 372 so it is checked.

Check the picture below.

since we know that AB = AD, twin sides will yield twin angles, that means that ∡ADB is a twin angle to ∡ABD.

Now, the two angles at vertex D are linear angles, so their sum is 180°, and since we know that BA = BC, twin sides make twin angles, meaning that ∡A and ∡C are twins, and if we know that a triangle has a total 180° for is interior angles, that means that 36° + 36° + 72° + "the gap above" = 180°, so that gap above must be 36°.

Anyhow, that leaves triangle BCD with a couple of twin angles, yielded by twin sides.

Answer:

about 2 people

Step-by-step explanation:

16.95+9x=25.50+5x

16.95+4x=25.50

4x=8.55

x=2.13

If Neil uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend , then the number of 41 cent stamp used is 3  and number of 6 cent stamps used is 12 .

Let number of 41 cents stamps used be = x ;

and let number of 6 cents stamps used be = y ;

converting amount 41-cents in dollars is = $0.41  ;

and converting amount 6-cents in dollars is = $0.06  ;

the amount for which Neil used 41-cent stamps , 6-cent stamps is = $1.95 ;

this situation in equation form is written as ⇒ 0.41x + 0.06y = 1.95

Multiplying on both sides by 100 , we get

⇒ 41x + 6y = 195  ;

⇒ y = (195 - 41x)/6 ;

We will test this equations for values of x and y , the number of stamps must be whole numbers .

If x = 1 , then value of y is = 25.66

If x = 2 , then value of y is = 18.833

If x = 3 , then value of y is = 12

If x = 4 , then value of y is = 5.166 .

the only value of x and y which shows a whole number as an output is : If x = 3 , then y = 12 .

Therefore , Neil used "3" 41-cents stamps and "12" 6-cent stamps .

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The series 7/8 − 7/10 + 7/12 − 7/14 + 7/16 − ..... is an alternating series, meaning that the signs of the terms alternate between positive and negative. To rewrite this series as a summation notation with an infinity symbol, we need to first determine the pattern of the denominator.

The denominators of the terms in the series are 8, 10, 12, 14, 16, .... We can see that the denominator of the nth term is 8 + 2(n-1), or 2n + 6.
Using this pattern, we can rewrite the series as:
7/8 − 7/10 + 7/12 − 7/14 + 7/16 − ..... = ∑(-1)^(n-1) 7/(2n + 6) from n = 1 to infinity.
Therefore, the answer to your question is:
The series 7/8 − 7/10 + 7/12 − 7/14 + 7/16 − ..... can be rewritten as ∑(-1)^(n-1) 7/(2n + 6) from n = 1 to infinity.

Rewriting the given series using summation notation. The series you provided is:
7/8 − 7/10 + 7/12 − 7/14 + 7/16 − ...
This series can be rewritten using the summation notation as:
∑((-1)^(n-1) * 7/(6+2n)) from n=1 to infinity.

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In a lottery game, if a player picks 6 numbers then the total 9366819 different choices player have if order doesn't matter.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, regardless of the order of selection. Formula is

ⁿCᵣ = n! /r!(n-r)!

where n is total number of objects

r is total number of choosing objects

We have given that,

In a lottery game total number = 46 = { 1,2,...., 46}

A player can pick total number = 6 numbers

We have to calculate different choices does the player have if order doesn't matter.

Using Combination formula,

we have , n = 46 , r = 6

⁴⁶C₆ = 46!/6!(40!)

=> ⁴⁶C₆ = 46×45×44×43×42×41×40!/40!(6!)

= 46×45×44×43×42×41 /(6×5×4×3×2×1)

= 23×3×7×11×43×41

= 9366819

Hence, the required ways are 9366819..

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Answer:

(- 1, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 3 ) ← solution

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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Answer:

263-5000=4737

Step-by-step explanation:

IF ITS -5000-263

if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.

[-5000+(-263)=-5263]

IF ITS 263-(-5000)

do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.

[263+5000=5263]

The height of this prism is equal to 1.5 centimeters.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Substituting the given parameters into the formula for the volume of a rectangular prism, we have;

2.76 = 2.3 × 0.8 × H

Height, H = 2.76/1.84

Height, H = 1.5 centimeters.

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The range for the scores is 1.0 (from 9.9 to 8.9). The range is the difference between the highest and lowest numbers in a set of numbers. In this case, the highest score is 9.9 and the lowest score is 8.9, so the range is 1.0.

In mathematics, the range of a function can refer to one of two similar terms:

the common area of ​​the function

The image of the function

Given two groups X and Y, the binary relation f between X and Y is a (exact) function (X to Y), if there is a y in Y for every x in X, so f is associated with y. The sets X and Y are called the area of ​​f and the common domain, respectively.

The range is a measure of dispersion in a set of numbers. To find the range, you need to subtract the lowest score from the highest score. In this case, the scores for the Olympic gymnast are: 9.9, 9.8, 9.6, 9.5, 9.7, 9.1, 8.9, and 9.8.

First, identify the highest and lowest scores:
Highest score: 9.9
Lowest score: 8.9

Next, subtract the lowest score from the highest score:
Range = 9.9 - 8.9

The range for the scores is 1.0 (9.9 to 8.9).

Your answer: 1.0 (9.9 to 8.9)

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tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.

The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.

The dimensions are the sides of a geometric shape.

The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.

If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:

The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)

The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)

The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)

The parameters are calculated as:

The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft

The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft

The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft

The least of the parameter is of the garden with dimensions (6 ft, 6 ft).

Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.

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The linear system can be solved using Cramer's rule. None of the provided vectors belong to the set W. The value of A₂₃ - A₁₂ is 5.The linear system has no solution.

For the first question, we need to determine the correct statement for the given linear system:

⎧

⎨

⎩

3x₁ - 3x₃ + x₂ = 1

6x₁ + 5x₂ + 7x₃ = 2

7x₁ + x₂ + 4x₃ = 3

To determine the solution, we can analyze the properties of the linear system. One approach is to check the determinant of the coefficient matrix A, denoted as det(A). If det(A) is non-zero, the system has a unique solution. If det(A) is zero, there are either no solutions or infinite solutions.

To determine if we can apply Cramer's rule, we need to calculate the determinant of the coefficient matrix A. Let's denote the matrix A as:

A = ⎣⎡

3 -3 1

6 5 7

7 1 4

⎦⎤

Calculating det(A), we find:

det(A) = 3(54 - 17) - (-3)(64 - 17) + 1(61 - 57)

= 3(20 - 7) - (-3)(24 - 7) + 1(6 - 35)

= 3(13) - (-3)(17) + 1(-29)

= 39 + 51 - 29

= 61

Since det(A) is non-zero (61 ≠ 0), we can apply Cramer's rule to solve the given linear system. Therefore, the correct statement for this linear system is "We can apply Cramer's rule to solve the given linear system."

For the second question, we need to determine which vector belongs to the set W. The set W is defined as vectors of the form:

⎣⎡

a

0

a² + 2b²

⎦⎤

By comparing the given vectors, we can see that none of them matches the form specified by set W. Therefore, the correct answer is "none of the others."

For the third question, we are given a matrix A and asked to calculate A₂₃ - A₁₂:

A = ⎣⎡

3 2 7

0 3 9

-3 5 -8

⎦⎤

A₂₃ represents the element in the second row and third column of matrix A, which is 7. A₁₂ represents the element in the first row and second column of matrix A, which is 2.

Therefore, A₂₃ - A₁₂ = 7 - 2 = 5. Hence, the value of A₂₃ - A₁₂ is 5.

For the last question, we need to determine the correct statement for the given linear system:

⎧

⎨

⎩

-8x₁ + 12x₃ + 4x₂ = 8

2x₁ - 2x₂ + 14x₃ = 0

4x₁ + 2x₂ + 10x₃ = 10

Similar to the first question, we can calculate the determinant of the coefficient matrix A to determine the nature of the solution. After calculating det(A), we find that det(A) = 0.

Since det(A) is zero, the linear system either has no solution or infinite solutions. Therefore, the correct statement for this linear system is "The linear system has no solution."

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Answer:

Angle ACE and Angle ABE are congruent because they both share a side of Line Segment AE

Step-by-step explanation:

Answer:

The cost of 7 pens is Rs. 60,  so 2.45

Step-by-step explanation:

find the cost of 7 pens. so 3 divided by 1.05 = 0.35 then multiply by 7 =  2.45 hope this helps can i get brainlyesti tried my best;]

The required side length x is 14.86 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

We have to determine the side length x for the given triangle.

As we know that Pythagoras's theorem,

perpendicular² + base² = hypotenuse²

Substitute the known values in the above formula, and we get

10² + 11² = x²

100 + 121 = x²

x² = 221

x = √221

x = 14.86

Thus, the required side length x is 14.86 units.

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Answer:

x = 17

Step-by-step explanation:

The angles are same side interior angles and they will add to 180 when the lines are parallel

6x+8  + 4x+2 = 180

10x+10 = 180

Subtract 10 from each side

10x+10-10 =180-10

10x = 170

Divide by 10

10x/10 = 170/10

x = 17

Answer:

x = 17

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.

For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.

6x + 8 + 4x + 2 = 180

10x + 10 = 180

10x = 170

x = 17

Answer:

V=157

Step-by-step explanation:

Formula-

V=π\(r^{2}\)\(\frac{h}{3}\)

1.) Place height and radius in the formula.

V=π\(5^{2}\)\(\frac{6}{3}\)

2.) Now all you have to do is simplify.

V=3.14 x 25 x 2

3.) Now solve.

V=157.07963

Answer:

I say 157 cubic centimeters

Step-by-step explanation:

Answer:

10 cups of red paint

Step-by-step explanation:

the painter will use 10 cups of red paint

If you want to guarantee that two cards are from the same suit, you need only draw five cards (since there is no way you can draw five cards without at least two of them being the same suit)

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

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