Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?

Answer: x=−10

Step-by-step explanation:

2(x+3)=x−4

Use the distributive property to multiply 2 by x+3.

2x+6=x−4

Subtract x from both sides.

2x+6−x=−4

Combine 2x and −x to get x.

x+6=−4

Subtract 6 from both sides.

x=−4−6

Subtract 6 from −4 to get −10.

x=−10

Step-by-step explanation:

2(x+3)=x−4

Step 1: Simplify both sides of the equation.

2(x+3)=x−4

(2)(x)+(2)(3)=x+−4 (Distribute)

2x+6=x+−4

2x+6=x−4

Step 2: Subtract x from both sides.

2x+6−x=x−4−x

x+6=−4

Step 3: Subtract 6 from both sides.

x+6−6=−4−6

x=−10

Answer:

5/6

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-9-(-4)/-4-2

-5/-6

5/6

Best of Luck!

The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Answer: 43,15

Step-by-step explanation:

i just had this problem lol sorry if i’m late

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

Yes! |-15| = 15

Step-by-step explanation:

Many people think of absolute value (the two bars symbol around the -15) as ALWAYS POSITIVE.

You can also think of absolute value as a distance. If you move 15 units, it doesn't matter in what direction you go. 15 units travelled is 15 units.

Lastly, absolute value has a V-shaped graph, that is because its always positive.

Answer:

2nd, 3rd and 5 th

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \(\frac{2}{3}\) and (a, b) = (1, 2) , thus

y - 2 = \(\frac{2}{3}\) (x - 1) ← 2 nd option

Using (a, b) = (4, 4), then

y - 4 = \(\frac{2}{3}\) (x - 4) ← 3 rd option

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \(\frac{2}{3}\) , thus

y = \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (4, 4) into the partial equation

4 = \(\frac{8}{3}\) + c ⇒ c = 4 - \(\frac{8}{3}\) = \(\frac{4}{3}\)

f(x) = \(\frac{2}{3}\) x + \(\frac{4}{3}\) ← 5 th option

Answer:

Your first option is correct but your second is wrong

Step-by-step explanation:

In option b-

when an employee receives 10% additional for each of the following weeks:

10% of 200=  10/100 x200= 20

it means he will get $20 in extra in every week

so it will be- 220,240,260

Answer:

2/5

Step-by-step explanation:

The y-intercept is the number being added or subtracted in the equation when you have y = mx + b. For example, in the equation y = 9x - 4, the y-intercept is -4, and in the equation y = 3x + 7, the y-intercept is 7. The number being added in this case is 2/5, so it is the y-intercept.

(A) n3+10*2n expressed in big-O notation is O(n3).

(B) n2+3log2⁡n expressed in big-O notation is O(n2).

(C) 5nlog2⁡n+2n2 expressed in big-O notation is O(n2).

(D) 1+2+3+…+(n−1)+n can be simplified as 1+2+3+…+n and using the formula for the sum of an arithmetic series, we have n(n+1)/2. Therefore, its big-O notation is O(n2).

(E) The code fragment can be written as:

                               for(int i=0;i< n;i++){for(int j=0;j< n;j++){ans++;}}

This code fragment has two nested loops.

The outer loop executes n times, while the inner loop also executes n times for each iteration of the outer loop.

Therefore, the code fragment has a time complexity of O(n2) in the Worst case.

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Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     \(m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4\)

=======================================================

Explanation:

The weight of A is 2/3 that of B. This flips to saying "the weight of B is 3/2 that of A". Because 3/2 = 1.5, we can then have this equation

B = 1.5A

The statement "C is 75% the weight of D" leads to the equation

C = 0.75D

----------------------------

The sum of A and B is triple that of the sum of C and D, giving us this equation:

A+B = 3(C+D)

Plug in the previous two equations we found in the previous section. Afterward, solve for the variable "A".

A+B = 3(C+D)

A+1.5A = 3(0.75D+D)

2.5A = 3(1.75D)

A = 3(1.75D)/2.5

A = 2.1D

----------------------------

Let's revisit the first equation we set up, and then apply substitution like so:

B = 1.5A

B = 1.5*2.1D

B = 3.15D

----------------------------

There's a lot of equations to keep track of. The key equations are these:

A = 2.1D

B = 3.15D

C = 0.75D

The one common factor of all these equations is the variable "D". This will be useful when setting up the ratio A:B:C:D

We'll go from the ratio

A:B:C:D

to

2.1D:3.15D:0.75D:1D

afterward we can divide all four parts by the GCF variable D, to arrive at

2.1:3.15:0.75:1

----------------------------

This last section will focus on converting each part of that ratio into integers. This is done by multiplying all four parts by 100 (as shown in the 2nd step).

Then we divide all parts by the GCF 5 to get the final reduced ratio.

2.1:3.15:0.75:1

100*2.1:100*3.15:100*0.75:100*1

210:315:75:100

5*42:5*63:5*15:5*20

42:63:15:20

Answer:

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Answer:

The answer is true.

Step-by-step explanation:

\( \frac{4}{6} = \frac{14}{21} \\ 84 = 84\)

Because the last equation, 84=84, is true, then the ratios are true.

Answer:

1.43

Step-by-step explanation:

1.43 or  1  43/100 turned into a percent is 143%

Answer:

1.43 because 1 = 100 percent and the 43 is your 43 remaining

Answer:

D) 220.50

Step-by-step explanation:

9x14 = (9x9)+(9x5) =126  126 x 1.75 (.75x126) + 126 = 220.50

AKA: 9x14 = 126 126 x 1.75 = 220.50

You have 2 balances left in your account after putting 15 balances into it.

To find out how much you have left in your account after putting 15 balances in it, you need to subtract 15 from the original balance of 17.

So, the calculation is:

17 - 15 = 2

Therefore, you have 2 balances left in your account after putting 15 balances into it.

This problem involves a simple subtraction operation, which is a fundamental mathematical concept. Subtraction is the process of taking away one number from another to find the difference between them.  By understanding the concept of subtraction, we can make informed decisions about our finances and manage our resources effectively.

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It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Answer:

(2, -1)

(10, 15)

Step-by-step explanation:

Subtract the second equation from the first

  y = x² – 10x + 15

- (y =           2x – 5)

————————————

 0 = x² - 12x + 20

Factor

(x  - 2)(x - 10) = 0

x = {2, 10}

-------------------

For x = 2

y = 2(2) - 5

y = -1

Solution 1

(2, -1)

----------------------

For x = 10

y = 2(10) - 5

y = 15

Solution 2

(10, 15)

The percentages paid are given as follows:

a) 14.29%.

b) 2.5%.

The percentages are obtained applying the proportions in the context of the problem.

A proportion is applying because the percentage is calculated dividing the $5 fee by the total fee of the transaction, and then multiplying by 100%.

Hence, for item a, the percentage is given as follows:

5/35 x 100% = 14.29%.

For item b, the percentage is given as follows:

5/200 x 100% = 2.5%.

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Answer:

B. {All Numbers between and including 0 and 20}

Step-by-step explanation:

This is a graph of: Words (along y-axis) against minutes (z-axis)

As shown in attached graph sketch; the slope of this graph is 50 words per minute.

So the domain of this graph is all numbers between and including 0 and 20.

Therefore, the perimeter of the square is increasing at a rate of 3 * sqrt(2) inches per minute.

Let's denote the side length of the square as "s" (in inches) and the diagonal as "d" (in inches).

We know that the diagonal of a square is related to the side length by the Pythagorean theorem:

d^2 = s^2 + s^2

d^2 = 2s^2

s^2 = (1/2) * d^2

Differentiating both sides with respect to time (t), we get:

2s * ds/dt = (1/2) * 2d * dd/dt

Since we are given that dd/dt (the rate of change of the diagonal) is 3 inches per minute, we can substitute these values:

2s * ds/dt = (1/2) * 2d * 3

2s * ds/dt = 3d

Now, we need to find the relationship between the side length (s) and the area (A) of the square. Since the area of a square is given by A = s^2, we can express the side length in terms of the area:

s^2 = A

s = sqrt(A)

We are given that the area of the square is 18 square inches, so the side length is:

s = sqrt(18) = 3 * sqrt(2) inches

Substituting this value into the previous equation, we can solve for ds/dt:

2 * (3 * sqrt(2)) * ds/dt = 3 * d

Simplifying the equation:

6 * sqrt(2) * ds/dt = 3d

ds/dt = (3d) / (6 * sqrt(2))

ds/dt = d / (2 * sqrt(2))

To find the rate at which the perimeter (P) of the square is increasing, we multiply ds/dt by 4 (since the perimeter is equal to 4 times the side length):

dP/dt = 4 * ds/dt

dP/dt = 4 * (d / (2 * sqrt(2)))

dP/dt = (2d) / sqrt(2)

dP/dt = d * sqrt(2)

Since we know that the diagonal is increasing at a rate of 3 inches per minute (dd/dt = 3), we can substitute this value into the equation to find dP/dt:

dP/dt = 3 * sqrt(2)

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Answer:

slope is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

In this situation, the cases are the bags or each piece of baggage.

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

Note: This question is incomplete; here are the missing options:

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

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Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

Answer:

Option (1)

Step-by-step explanation:

The given triangle JKL is an equilateral triangle.

Therefore, all three sides of this triangle will be equal in measure.

Side JK = JL = KL = 48 units

Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.

By applying tangent rule in ΔJML,

tan(∠KJL) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

                = \(\frac{\text{LM}}{\text{JM}}\)

                = \(\frac{\text{LM}}{24}\)

Since, Sin(K) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

Sin(60)° = \(\frac{\text{LM}}{48}\)

\(\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}\)

LM = 24√3

Now, tan(∠KJL) = \(\frac{\text{LM}}{24}\)

                          = \(\frac{24\sqrt{3} }{24}\)

Therefore, Option (1) will be the answer.

The experimental probability of the arrow stopping over Section 3 is 2/5.

We have,

Section 1 = 18

Section 2 = 30

Section 3 = 32

So, the Total number of spins is

= 18 + 30 + 32

= 80

Now, The experimental probability of stopping at section 3 is:

= Section 3/Spin

= 32/80

= 2/5

Hence, the experimental probability of the arrow stopping over Section 3 is 2/5.

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Answer:

56h

Step-by-step explanation:

Answer:

pa pic nyou nalang kung may pic plss