The Cost Saver Grocery Club sells sheet cakes. Each 14 sheet of cake requires 0.75 teaspoon of baking soda. How much baking soda is needed for a full sheet cake? 2.25 tsp 2.75 tsp 3 tsp 3.25 tsp

Answer:

Step-by-step explanation:

i ate my dog than did the math

19 cars will pass the intersection in 1 hour.

Division is used to split a number into equal parts.

Given is that 57 cars pass through an intersection in 3 hours.

It is given that 57 cars pass through an intersection in 3 hours.

So, we can write that in 1 hour, the number of cars that will pass are -

{x} = 57/3

{x} = 19

Therefore, 19 cars will pass the intersection in 1 hour.

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The Laplacian of the function r = xi + yj + zk is zero. This implies that the function r is harmonic, meaning it satisfies Laplace's equation.

The Taylor series expansion of a function f(t, x) to first order in At is given by:

f(t + At, x + Atf(t, x)) = f(t, x) + At ∂t f(t, x) + O(At^2)

where ∂t f(t, x) represents the partial derivative of f with respect to t evaluated at (t, x), and O(At^2) denotes higher-order terms.

Now, let's consider the function r = xi + yj + zk, where i, j, and k are the unit vectors in the x, y, and z directions, respectively.

The Laplacian of a scalar function ϕ(r) is defined as the divergence of the gradient of ϕ. In Cartesian coordinates, it is given by:

∇²ϕ = ∂²ϕ/∂x² + ∂²ϕ/∂y² + ∂²ϕ/∂z²

Applying the Laplacian operator to the function r, we have:

∇²r = ∂²(xi + yj + zk)/∂x² + ∂²(xi + yj + zk)/∂y² + ∂²(xi + yj + zk)/∂z²

Since the unit vectors i, j, and k are constant with respect to x, y, and z, respectively, their second derivatives are zero. Therefore, we are left with:

∇²r = 0 + 0 + 0 = 0

So, the Laplacian of r is equal to zero.

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The 80th percentile for the number of hours spent studying each day is 7.07 hours.

A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are dispersed when the standard deviation is high.

The percentage of scores below a given value is shown by percentiles. They provide information about how a score compares to other scores.

Given Data :

Mean time (u) = 6.4 hour

Standard Deviation = 0.80 hour

It is given that the probability distribution is normal.

The formula for the z-score is z =( x- mean)/standard deviation

For the 80th percentile,  the z value from the z table is 0.842.

We have,

0.842 = (x - 6.4)/0.8

0.842*0.8 = x - 6.4

0.6736 =x - 6.4

x = 0.6736 + 6.4

x = 7.0736

x = 7.07

Hence, the 80th percentile for the number of hours spent studying each day is 7.07 hours.

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The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.

The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.

The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.

Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.

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Answer:

8 chess games are being played while 11 cribbage games are being played.

Let x represent the number of chess games and y represent the number of cribbage games.

Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:

2x + 4y = 60  (1)

There are 3 more games of cribbage than games of chess, hence:

y = x + 3

-x + y = 3    (2)

Solving equations 1 and 2 simultaneously gives:

x = 8, y = 11

Therefore 8 chess games are being played while 11 cribbage games are being played.

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Step-by-step explanation:

Answer:

653

Step-by-step explanation:

The surface area of the larger cube is

2(10 x 7) + 2(12x7) + 2(10x12) = 140 + 168 + 240 = 548

The surface area of the smaller cube (minus the surface that is covered by the other figure)

4(8x3) + 1(3x3) = 96 + 9 = 105

105 + 548 = 653

Answer:

It is 653 cm

Step-by-step explanation:

Answer:

9p³

Step-by-step explanation:

multyplying the two negatives equals a positive

p x 9p² = 9p³

Answer:

The simplified version is 9p^3=0

obviously yes..........

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Answer:

no

Step-by-step explanation:

Answer:

Either 4/9 as a fraction or 0.44444444447

Answer:

6 pairs of jeans for 119.75 means 1 pair of jeans is equal to 119.75/6= $19.96

7 pairs of jeans for $131.80 means that 1 pair of jeans is equal to 131.80/7= $18.83.

(Answers are rounded to the nearest hundredth.)

The better buy is 7 pairs of jeans for $131.80.

Answer:

a10 = 16

Explanation:

The arithmetic sequence is defined by the equation:

To find the 10th term in the sequence, substitute 10 for i:

Then simplify:

The tenth term in the sequence is 16.

The equation of the line that passes through (8,-5) and is parallel to the graphed line is given as follows:

A. y = 3x/4 - 11.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

When two lines are parallel, it means that they have the same slope.

From the graph, we have that when x increases by 4, y increases by 3, hence the slope m is given as follows:

m = 3/4.

Hence:

y = 3x/4 + b

When x = 8, y = -5, hence the intercept b is given as follows:

-5 = 3 x 8/4 + b

6 + b = -5

b = -11.

Hence the equation is given as follows:

A. y = 3x/4 - 11.

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Determining the monthly payment as $668.54, it seems that Jax cannot buy this car since he wants his monthly payment to be under $500.

The monthly payment is the periodic payment that must be made by Jax to settle the credit or car loan, including the finance charges.

The monthly payment can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 5.5%

PV (Present Value) = $35,000

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $-668.54

The sum of all periodic payments = $-40,112.44

Total Interest = $5,112.44

Thus, Jax must pay $668.54 monthly to finance the car and cannot based on his budget.

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Answer: 4. No, not Similar

Step-by-step explanation:

<QSR = 62

because of vertical angles

we have 3 different angles and no sides

Answer:

$63

Step-by-step explanation:

Tips = 20% of 60

      \(= \frac{20}{100}*60\)

         = $ 12

Coupon amount = 15% of 60

                           = 0.15 * 60

                           = $ 9

The amount paid by Western family = 60 + 12 - 9

                                                            = $ 63

Answer:

option d

Step-by-step explanation:

root of 29 = 5.39 (rounded)

in the line, point B is closest to that value.

Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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Answer:

the answer is D .I think I may not be wrong

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

Answer:

\(5\sqrt{p} ^{11}\)

The center of the sphere is C(2, 3, 3), and the radius is a = √16 = 4. The correct option is C(2, 3, 3), a = 4

To find the center and radius of the sphere, we can rewrite the given equation in the standard form:

(x - h)² + (y - k)² + (z - l)² = r²

where (h, k, l) represents the center of the sphere, and r represents the radius.

Let's complete the square to convert the given equation into the standard form:

x² + y² + z² - 4x - 6y - 6z = -6

(x² - 4x + 4) + (y² - 6y + 9) + (z² - 6z + 9) = -6 + 4 + 9 + 9

(x - 2)² + (y - 3)² + (z - 3)² = 16

Therefore, the center of the sphere is C(2, 3, 3), and the radius is a = √16 = 4.

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Answer:

B

Step-by-step explanation:

let's represent the width with x, if we represent the width with x then that makes the length x+4. Therefore the perimeter would be 2x+2(x+4)=48

Answer:

7

Step-by-step explanation:

use the distance formula which is (the pic down below)

so then plug in the numbers:

the sqaure root of  (3-(-4)^2 + (-6-(-6)^2

then you get the sqaure root of (7)^2+ (0)^2

then add the numbers

you get sqaure root of 49

and the square root of 49 is 7 (because 7*7=49)

Hope this helps!

Answer: 7

Step-by-step explanation:

use this equation \(\sqrt{(x2-x1)^{2} + (y2-y1)^{2}\)

your points are (-4, -6) and (3, -6)

i recommend plugging this into your calculator: (3+4)^2 + (-6+6)^2

you get 49 (second part cancels out so (7)^2=49

now bring the root sign down \(\sqrt{49}\) =7

After testing the hypothesis we can conclude that the evidence that the mean time to be cured is actually more than advertised.

To test the hypotheses and determine whether there is evidence that the mean time to be cured is actually more than advertised, we can use a one-sample t-test.

The null hypothesis is that the true mean time to be cured is equal to the advertised mean time, i.e., H0: µ = 5. The alternative hypothesis is that the true mean time to be cured is greater than the advertised mean time, i.e., Ha: µ > 5.

We are given that the sample size is n = 400, the sample mean is x = 5.2 days, and the standard deviation is σ = 1 day.

To conduct the one-sample t-test, we first calculate the test statistic t:

t = (x - µ) / (σ / sqrt(n))

t = (5.2 - 5) / (1 / sqrt(400))

t = 2

where µ = 5 is the hypothesized population mean.

The degrees of freedom for the t-distribution is n - 1 = 399.

Using a t-distribution table or an online calculator with df = 399, we can find the p-value associated with the test statistic t = 2 to be approximately 0.023.

Since the p-value (0.023) is less than the significance level α = 0.05, we reject the null hypothesis and conclude that there is evidence that the mean time to be cured is actually more than advertised.

Therefore, we can say that there is significant evidence that the mean time to be cured is greater than 5 days.

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The equation that represents the given equation model is: 4.99p + 3.79c = 35

The most common form of representing a linear equation model is:

y = mx + b

where:

m is slope

b is y-intercept

Let the number of pounds of Pecans she can buy be p

Let the number of pounds of cashews she can buy be c

We are told that:

Cost of pecans = $4.99 per pound

Cost of Cashews = $3.79 per pound

Thus, for $35 to spend we have the equation as:

4.99p + 3.79c = 35

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Answer:

m  = 2

m = 2,75

Step-by-step explanation:

Được-

Phương trình =

4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m

Thay các giá trị của x = 0 vào phương trình đã cho ta được

4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m

1 +1 = 2 -2 + 4-m

m = 4-2 = 2

Thay các giá trị của x = 1 vào phương trình đã cho ta được

4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m

4 + 0,25 = 4 - 1 + 4 -m

m = 7-4,25 = 2,75