Nicole is making tuna salad for her office colleagues. It takes 2/5 of a pound of canned tuna to make 5 portions of salad. She uses 6/5 pounds of canned tuna for every 2 onions used.

If Nicole uses a total of 4 onions, then how many portions of salad does she make?
A.
30 portions
B.
25 portions
C.
35 portions
D.
15 portions

Answer:

7

Step-by-step explanation:

Answer:

√52 = 2√13

Step-by-step explanation:

Answer:

No error

Step-by-step explanation:

Everything is true

all drive to work ( includes Gavin because he go to work)

(can I please have brainiest, I am one crown away )

Answer: 47

Step-by-step explanation:

first no. : 5× 8=40

second no. : 7

sum=40+7=47

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Answer:

1) 9

2) -3

3) -14

4) -27

5) 40

6) -30

7) -1

8) -81

Each Sum Or Difference:- (1). 9   (2). -3    (3). -14   (4). -27    (5). 40   (6). -30    (7). -1    (8). -81

As we know,

Suppose a and b be two numbers then to find the sum or difference of these two, we can follow some conditions that are given below:

+ or - becomes - and the answer has a sign of greater one from them

+ or + becomes + and answer has +ve sign

- or + becomes - and the answer has a sign of greater one from them

- or - becomes + but the answer has a -ve sign

Then, according to the above conditions the solutions are given below:

1). 12 + (-3) = 9

2). -7 + 4 = -3

3). -8 + (-6) = -14

4). -42 + 15 = -27

5). 32 - (-8) = 32 + 8 = 40

6). -18 - 12 = -30

7). -15 - (-14) = -15 + 14 = -1

8). -76 - 5 = -81

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The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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Comparing the values by subtraction, the chocolates are lighter than the weight stated on the label by 0.0042 pounds.

When comparing two values whether which is greater, compare the digits from left to right.

Comparing 0.384 to 0.3798, where the first digits are both 0, and the digit after the decimal are also the same, compare the hundredth's place.

8 > 7

Hence, the actual weight of the chocolates is less than or lighter than the weight stated on the label.

Using subtraction, two values can also be compared by getting how much one exceeds the other.

Subtracting the two values,

0.384 - 0.3798 = 0.0042 pounds

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Answer:

Step-by-step explanation:

This is an easier way

\(-10p<-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\Simplify\\\left(-10p\right)\left(-1\right)>\left(-70\right)\left(-1\right)\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10p}{10}>\frac{70}{10}\\\\Simplify\\p>7\)

I think this is what u meant

\(\frac{-10p}{-10} < \frac{-70}{-10} \\\\p > 7\)

To correctly match the points to the options, we should first convert the fractions on the line to decimals.

The points -2/8 and -3,7 in decimals are:

When we compare the points on the line to the options, we have:

Answers:

a : -3/7

b : -2/8

c : -0.2

Answer:

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator

Your welcome

The third term of the expansion of \((3x - 2y)^6\) is \(4,905x^4y^2.\)

What is term?

In mathematics, a term refers to a single item in a sequence, a series, or an expression. It is a part of an equation or expression that is separated from other parts by a plus or minus sign.

To expand the binomial \((3x - 2y)^6\) using the binomial theorem, we need to find the coefficients of each term in the expansion. The coefficient of each term is given by the binomial coefficient formula:

C(n, k) = n! / (k! * (n-k)!)

where n is the power of the binomial (in this case, 6), and k is the index of the term we want to find.

To find the third term, we need to use k = 2, since the index starts at 0. Therefore, the third term is:

\(C(6, 2) * (3x)^4 * (-2y)^2 = (6! / (2! * 4!)) * (3x)^4 * (-2y)^2\\\\= (15 * 81x^4 * 4y^2)\\\\= 4,905x^4y^2\)

Therefore, the third term of the expansion of \((3x - 2y)^6\) is \(4,905x^4y^2.\)

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The range of children in these households is from 0 to 8, as those are the minimum and maximum values in the data set. The range indicates the spread of the data, and in this case, it shows that there is a wide range of children in Anmol's neighborhood, from households with no children to households with 8 children.

To find the range of children in Anmol's neighborhood, we need to identify the highest and lowest numbers in the data set and then subtract the lowest from the highest. Here's the step-by-step explanation:

1. Organize the data set: 0, 0, 2, 1, 2, 8, 3, 0, 0, 0, 2, 1, 2, 8, 3, 0, 0
2. Identify the highest number of children in a household: 8
3. Identify the lowest number of children in a household: 0
4. Subtract the lowest number from the highest number: 8 - 0

The range of children in the households in Anmol's neighborhood is 8.

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Answer:

The answer is 40

Step-by-step explanation:

8 x 5 = 40

Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. \(\frac{13 * 4}{25 * 4}\)

step 3: we get \(\frac{52}{100}\)

step 4: now we can easily write the decimal fraction. ie. 0.52

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Answer:

multiple choice answers?

Step-by-step explanation:

Answer:

it would be 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the given triangle AED, segments GB and FC are parallel to base ED. Points G and F are on segment AE in that order. Lengths AG=2, GF=5, FE=3, GB=6, and CD=7 are given. You want the lengths of AB, BC, FC, and ED.

Segments of transversals crossed by parallel lines are proportional:

  AG : GF : FE = AB : BC : CD

  2 : 5 : 3 = AB : BC : 7

Multiplying the first ratios by 2 1/3 will give the second ratios:

  2 : 5 : 3 = 4 2/3 : 11 2/3 : 7

This lets us conclude ...

  AB = 4 2/3

  BC = 11 2/3

Corresponding segments of similar triangles are proportional:

  AG : GB = FA : FC = AE : ED

  2 : 6 = (5+2) : FC = (5+2+3) : ED

We notice the second number in the first ratio is 3 times the first number. That means these ratios are ...

  2 : 6 = 7 : 21 = 10 : 30

This lets us conclude ...

  FC = 21

  ED = 30

The lengths of the missing sides are calculated to be

The parallel lines in the figure created similarity between the dimensions, this makes the ratio of the dimensions equal

The given dimensions that is used to find the missing sides

Solving for AB

AB / CD = AG / FE

AB / 7 = 2 / 3

cross multiplying

3 * AB = 7 * 2

AB = 14/3 = 4.667

Using AB, GF is calculated

AB / BC = AG / GF

14/3 / BC = 2 / 5

cross multiplying

BC = (5 * 14/3) / 2

BC = 35/3 = 11.667

Solving for FC

GB / FC = AG / A'F

6 / FC = 2 / (2 + 5)

cross multiplying

2 * FC = 6 * 7

FC = 42/2 = 21

Solving for ED

GB / ED = AG / AE

6 / ED = 2 / (2 + 5 + 3)

cross multiplying

2 * ED = 6 * 10

ED = 60/2 = 30

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If Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. Then she can pay the credit amount in 20 months.

APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.

Caitlin has a balance of $4,880 on her credit card that has an APR of 16%.

She currently pays the minimum monthly payment of $105. 86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make.

Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months.

Income

Wages $2,896. 00

Expenses

Rent $1200. 00

Utilities $212. 64

Food/Clothes $335. 00

Entertainment $346. 00

Car $490. 00

Credit Card $105. 86

Cell Phone $116. 37

Net Income $90. 13

The net amount will be over 20 months is 5591.8.

Monthly payback will be

\(\rm Monthly\ pay = \dfrac{5591.8}{20}\\\\Monthly\ pay = 279.59\)

She was paying 105.68 dollars per month. Then the amount will be

Amount = 279.59 – 105.68 = 173.73

If Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. Then she can pay the credit amount in 20 months.

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The associated standard score for this hypothesis test is 3.16. There is is evidence that more than 1/2 of the entire voting population would vote for the green party candidate for governor.

To determine whether the random sample of 1000 registered voters showing 550 votes for the Green Party candidate is evidence that more than half of the entire voting population would vote for the Green Party candidate, we will conduct a hypothesis test with the null hypothesis H0: p ≤ 0.5 and the alternative hypothesis Ha: p > 0.5. We will assume a Type I error rate of 0.05.

1: Calculate the sample proportion (p):

p = 550/1000 = 0.55

2: Calculate the standard error (SE):

SE = sqrt[(p * (1 - p))/n] = sqrt[(0.55 * 0.45)/1000] ≈ 0.0158

3: Calculate the z-score (standard score) for the hypothesis test:

z = (p - p₀) / SE = (0.55 - 0.5) / 0.0158 ≈ 3.16

4. From the p-value table, the p-value is 0.00078885

The associated p-value for this z-score is extremely small (less than 0.001), which means we can reject the null hypothesis H0: p ≤ 0.5 and conclude that there is evidence to support the alternative hypothesis Ha: p > 0.5.

The associated standard score is approximately 3.16. Therefore, this is evidence that more than 1/2 of the entire voting population would vote for the green party candidate.

Note: The question is incomplete. The complete question probably is: a newspaper took a random sample of 1000 registered voters and found that 550 would vote for the green party candidate for governor. Is this evidence that more than 1/2 of the entire voting population would vote for the green party candidate? to answer this question, you will have to test the hypothesis H0: p ≤ 0.5 versus Ha: p > 0.5. assume a type i error rate of 0.05. What is the associated standard score for this hypothesis test?

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The coordinate of point B is (3, 2) if the midpoint of AB is M (5,5). If the coordinates of A are (7,8),

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

The midpoint of AB is M (5,5). If the coordinates of A are (7,8),

Let's suppose the coordinate of point B is (x, y)

(x + 7)/2 = 5

x = 10 - 7

x = 3

(y + 8)/2 = 5

y = 10 - 8

y = 2

(x, y) = (3, 2)

Thus, the coordinate of point B is (3, 2) if the midpoint of AB is M (5,5). If the coordinates of A are (7,8),

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The mean for grouped data can be calculated when data has been grouped into class intervals in a frequency distribution. (Option A)

When data has been grouped into class intervals, it is not possible to calculate the exact mean of the data. Instead, we use the midpoint of each class interval as a representative value for that interval. Then, we calculate the weighted average of these midpoints to find the mean for grouped data.

Options C and D, the variance and standard deviation, respectively, cannot be directly computed from grouped data. However, we can estimate them using the assumed normal distribution of the data within each class interval and the mean for grouped data.

Therefore, the correct answer is option A: the mean for grouped data can be calculated when data has been grouped into class intervals in a frequency distribution.

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Answer:

7 and 11

Step-by-step explanation:

Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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Answer:

-8

Step-by-step explanation:

Turn the equation into slope intercept form [ y = mx + b ]

y + 11 = 2(x + 1.5)

~Distribute right side

y + 11 = 2x + 3

~Subtract 11 to both sides

y = 2x - 8

"b" represents the y-intercept, so, the y-intercept is -8.

Best of Luck!

At the fidelity credit union, the mean number of customers who arrive hourly at the drive-through window is 4.9. It is required to determine the probability of fewer than 1 customer arriving in any hour.

Answer: 0.00796.

The solution to this problem is discussed below:

The given information implies that the mean value of the Poisson distribution, λ = 4.9.

In a Poisson distribution, the probability of x occurrences during a particular interval is given by:

P(x; λ) = e–λ λx / x!

Where e is approximately equal to 2.71828.

Let x = 0 since we need the probability of less than 1 customer in an hour.

P(x < 1) = P(x = 0) + P(x = 1) + P(x = 2) + …P(x < 1) = e-4.9 4.90 / 0!P(x < 1) = e-4.9 1P(x < 1) = 0.00796

The probability of fewer than 1 customer arriving in any hour is 0.00796 (rounded to four decimal places)

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Answer:

f(1) - 1 = -3

Step-by-step explanation:

Step 1: Find f(1)

f(1) = -3(1) + 1

f(1) = -3 + 1

f(1) = -2

Step 2: Find f(1) - 1

f(1) - 1 = -2 - 1

f(1) - 1 = -3

We are given the coordinates of two points, P and Q, as well as the function values ƒ(P) and ƒ(Q). The approximate directional derivative of ƒ in the direction from P to Q is 2√2.

The directional derivative of a function ƒ(x, y) in the direction of a vector v = <a, b> is given by the dot product of the gradient of ƒ with the unit vector in the direction of v. In this case, we need to find the directional derivative of ƒ in the direction from P to Q.

First, let's calculate the vector from P to Q:

v = Q - P

= (–122, 47) - (-120, 45)

= (-122 + 120, 47 - 45)

= (-2, 2)

Next, we need to find the unit vector in the direction of v:

||v|| = √((-2)² + 2²)

= √(4 + 4)

= √8

= 2√2

u = v / ||v||

= (-2, 2) / (2√2)

= (-1/√2, 1/√2)

Now, we need to find the gradient of the function ƒ at point P:

∇ƒ(P) = (∂ƒ/∂x, ∂ƒ/∂y)

Since we don't have the function ƒ, we cannot directly compute the gradient. However, we can use the given function values ƒ(P) and ƒ(Q) to approximate the gradient.

Let's calculate the change in the function value:

Δƒ = ƒ(Q) - ƒ(P)

= 204 - 200

= 4

Now, let's calculate the directional derivative using the approximation formula:

Dƒ(P->Q) = Δƒ / ||v||

= 4 / (2√2)

= 2√2

Therefore, the approximate directional derivative of ƒ in the direction from P to Q is 2√2.

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Step-by-step explanation:

The conjugate of the complex root must also be a zero of the function if the complex root is already a zero.

Conjugate of -4 + 3i is -4 - 3i.

Hence -4 - 3i is also a zero of the function.

Answer:

-4 - 3i

Step-by-step explanation:

If a zero of a function is a+bi, there is at least one other zero, a-bi, called the conjugate.

Answer:

260 square centimeters

Step-by-step explanation:

The formula for the area of a parallelogram is:

b x h

Where the base (b) is multiplied by the height (h) perpendicular to it.

The base here is 20 cm

The height perpendicular to the base is 13 cm

20 x 13 = 260

Or you can decompose and rearrange it into a rectangle. You will get 20 cm as the length and 13 cm as the width. The answer will be just the same!

Hope this helps!

Answer: 260 cm²

Step-by-step explanation: A parallelogram is a

quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is A = bh.

Since the base of the parallelogram is 20 cm and the height

of the parallelogram is 13 cm, we can plug this information into the formula

to get (20 cm)(13 cm) which gives us 260 cm².

So the area of the parallelogram shown is 260 cm².

Answer:

$15.80

Step-by-step explanation:

20% × 79 = 15.8

The quadrilateral with four congruent sides is called a square. A square is a special type of rectangle, rhombus, and parallelogram, as all its angles are right angles and all its sides are congruent. A square is also a special type of rhombus because it has right angles, and a special type of kite because it has two pairs of congruent adjacent sides.

A rectangle has four right angles, but not all its sides are congruent. A rhombus has four congruent sides, but not all its angles are right angles. A parallelogram has opposite sides that are parallel and congruent, but not all its sides are congruent.nAn isosceles trapezoid has one pair of parallel sides and two congruent non-parallel sides, but not all its sides are congruent. A trapezoid has one pair of parallel sides, but its non-parallel sides are not necessarily congruent.

In conclusion, the quadrilateral with four congruent sides is a square, and it has unique properties that distinguish it from other types of quadrilaterals.

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