You budgeted $25.20 for buying snacks for a party, and spent it all on 8.5 pounds of nuts. Peanuts cost $2.40 per pound. Cashews cost $3.90 per pound. How many pounds of Cashews should you buy?

Thank you! :)

Answer: No, you cannot.

Step-by-step explanation: A square number cannot be a perfect number.

The numbers: 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201 are examples of perfect numbers.

The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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Answer:

137.5 cm²

Step-by-step explanation:

Triangle + parallelogram = (11*7) /2 + (11*9) = 38.5 + 99 = 137.5

I’m am answering this question so that the other person can get a brainliest

Answer:

  (a) 56

Step-by-step explanation:

You want the number that is 80% of 70.

In this context, "of" means "times." Thus "80% of 70" is "80% times 70".

Some calculators have a % key that lets you calculate this directly. Otherwise you may need to convert the percentage to a fraction.

The % symbol is effectively interchangeable with "/100", so we have ...

  80% of 70 = 80/100 × 70

At this point, you can employ what you know about multiplication and division to simplify this to a problem you can do in your head.

  = (80×70)/100 = (8×7×100)/100 = 8×7 = 56

If you want a grade of 80%, you need to get 56 questions correct.

If a null hypothesis is rejected at the 0.02 level of significance, it can also be rejected at the 0.08 level of significance.

The decision to reject or fail to reject a null hypothesis depends on the p-value obtained from the statistical test. If the p-value is less than or equal to the chosen level of significance, the null hypothesis is rejected. Therefore, if the null hypothesis is rejected at a more stringent significance level of 0.02, it implies that the p-value is even smaller than 0.02 and would also be smaller than 0.08. Consequently, the null hypothesis can be rejected at the 0.08 level of significance as well.

The significance level, often denoted as α (alpha), determines the threshold at which the null hypothesis is rejected. It represents the maximum probability of making a Type I error, which is rejecting the null hypothesis when it is true. For example, if we set the significance level at 0.05, it means we are willing to accept a 5% chance of making a Type I error.

When performing a statistical test, we calculate the p-value, which represents the probability of obtaining the observed data (or more extreme) under the assumption that the null hypothesis is true. If the p-value is smaller than or equal to the chosen significance level, we reject the null hypothesis in favor of the alternative hypothesis.

In this case, if the null hypothesis is rejected at the 0.02 level of significance, it means that the p-value obtained is less than or equal to 0.02. Since the p-value is even smaller than 0.08, it follows that the null hypothesis can also be rejected at the 0.08 level of significance. The reason is that if the evidence against the null hypothesis is strong enough to reject it at a more stringent level, it will also be strong enough to reject it at a less stringent level. Therefore, rejecting the null hypothesis at a lower level of significance implies rejection at a higher level as well.

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Expanding this expression, we can obtain the Maclaurin series for the given function f(x) = 8x cos((1/7)x^2).

To obtain the Maclaurin series for the function f(x) = 8x cos((1/7)x^2), we can expand the function using the Maclaurin series for cosine. The Maclaurin series for cosine is given by:

cos(x) = Σ(-1)^n (x^(2n)) / (2n)!

Substituting (1/7)x^2 for x in the Maclaurin series for cosine, we get:

cos((1/7)x^2) = Σ(-1)^n ((1/7)x^2)^(2n) / (2n)!

Simplifying further, we have:

cos((1/7)x^2) = Σ(-1)^n (1/7)^(2n) (x^(4n)) / (2n)!

Now, multiplying the Maclaurin series for cosine by 8x, we get:

f(x) = 8x * cos((1/7)x^2) = 8x * Σ(-1)^n (1/7)^(2n) (x^(4n)) / (2n)!

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To use Theorem 4.6 and find the values of k for which the matrix A is invertible, we first need to know the elements of the matrix A. Please provide the matrix so I can help you determine the values of k.

Theorem 4.6 states that a square matrix A is invertible if and only if its determinant is nonzero. Therefore, to find all values of k for which A is invertible, we need to find the determinant of the matrix and set it equal to zero.

Let A be the given matrix. We have:

det(A) = (k-2)(-1)(k-1) + (-1)(k-1)(2k-3) + (k-2)(2k-3)(k-1)
det(A) = -k^3 + 5k^2 - 5k + 3

Setting det(A) equal to zero and solving for k, we get:

-k^3 + 5k^2 - 5k + 3 = 0

Using synthetic division or factoring, we can find that k = 1 is a root of this equation. Dividing by (k-1), we get:

-(k^2 - 4k + 3) = 0

Factoring again, we get:

-(k-1)(k-3) = 0

Therefore, the values of k for which A is invertible are k = 1 and k = 3.

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Answer: Midpoint = 0

Explanation:

The midpoint of segment ED can be calculated as:

Where E and D are the coordinates of E and D respectively.

So, replacing E by 2 and D by -2, we get:

Therefore the midpoint of segment ED is equal to 0.

The best response for a person handling biohazards with an open wound on their hands is to not  work with biohazards until the cut is healed or cleared by a healthcare professional to work with the use of waterproof bandages and double gloves.

Biohazards are extremely dangerous because they can get into the human body and cause a lot of damage.

This is why a person with an open would or existing cut should not handle a biohazard until they are cleared to to so by a trained healthcare professional.

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The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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Answer:

k = 29

29 + 6 = 35

-3 + 5 = 2

35 + 2 = 37

The equation x/-2 = -9 has only one solution and is x = 18.

We are given an equation x/-2 = -9 for which we need to check whether it has a solution, no solution or infinite solutions.

For this we first solve this equation.

x/-2 = -9

⇒ x = -9 x -2

⇒ x = 18

So this equation has only one solution and it is unique.

Hence we cannot find two values of to support this conclusion, since x = 18 is the only value which satisfy this equation.

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Answer:

22

Step-by-step explanation:

6(3)-2(2)+8

18-4+8

14+8

22

Answer:

22

Step-by-step explanation:

6x-2y+8

(6 • 3) - (2 • 2) + 8

18 - 4 + 8

22

(i think)

Answer: The triangle inequality states that each side of a triangle must be shorter than the sum of 2 other sides.

Step-by-step explanation: Please make me Brainliest.

By knowing the properties of circles, the circle with a central angle ACB of 48° and the arc length AB is 144 inches has a circumference of 1080 inches.

According to the Euclidean geometry, the circular arc (s), in inches, is directly proportional to the central angle (θ), in radians:

s = θ · r   (1)

Where r is the radius of the circle, in inches. Please notice that the arc is directly proportional to the central angle and that the circumference is determined for a central angle of 360° (2π). Hence, we can determine the circumference of the circle by using the following relationship:

s/144 in = 360°/48°

s = (144 in) · (360°/48°)

s = 1080 in

By knowing the properties of circles, the circle with a central angle ACB of 48° and the arc length AB is 144 inches has a circumference of 1080 inches.

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Answer:

x + 3

Step-by-step explanation:

Therefore, the answer is x + 3.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren

Answer:

\(m = \frac{14 - 7}{2 - 0} = \frac{7}{2} \)

\(14 = \frac{7}{2} (2) + b\)

\(14 = 7 + b\)

\(b = 7\)

\(y = \frac{7}{2} x + 7\)

To describe y as the sum of two orthogonal vectors, x1 in the span{u} and x2 orthogonal to u , we follow two steps procedure:

1.First, find a vector x1 in the span{u} that is the projection of y onto u. To do this, use the formula:
  x1 = (y • u / ||u||^2) * u, where • represents the dot product and || || represents the magnitude of the vector.

2.Next, find the vector x2 that is orthogonal to u. Since y can be represented as the sum of x1 and x2, you can find x2 by subtracting x1 from y:
  x2 = y - x1

3.Now, you have y as the sum of two orthogonal vectors x1 and x2, with x1 in the span{u} and x2 orthogonal to u.

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Multiply by the opposite sign the denominator. In the denominator we have the difference of squares.

Answer:

Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.

Step-by-step explanation:

Representing the length of the garden by l and width of the garden by w.

For turner's garden, given that l= 24 yards and w= 17 yards.

As the area, A, of the rectangular garden having  length l and width w is

So, the area of Ms. Turner's garden, = 24x17=408 sq. yards

For turner's garden, given that l= 5 yards and w= 138 yards.

So, by using equation (i),

the area of Mr. Webster's garden, = 5x138=690 sq. yards

Here, \(A_2 > A_1\), and  

= 690-408= 282 sq. yards.

Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.

3 + √97/2 , -3 ±√97/2 are the dimensions of rectangle .

What is rectangle?

let width = x

length = x + 3

area = 22

 area of rectangle =  l * w

           22 =  x * ( x + 3 )

          22 = x² + 3x

       x² + 3x - 22 = 0

    x = -3 ± √3² - 4 .1 (-22)/2.1

   x = -3 ± √9 + 88/2

    x = -3 ±√97/2

width =  -3 ±√97/2

length =  x + 3  =  -3 +√97/2 + 3 = 3 + √97/2

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Answer:

12

Step-by-step explanation:

Answer:

y=-2x-10

this is slope-intercept form, if this is what you're asking for?

Step-by-step explanation:

simplify: y-4 = -2x-6

y= -2x -10

Answer:

3.43 hours

Step-by-step explanation:

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?

From the above question:

7 knights = 24 hours

1 knight = x hours

Cross Multiply

7 knights × x hours = 1 knight × 24 hours

x hours = 1 knight × 24 hours/ 7 knights

x hours = 3.4285714286 hours

Approximately = 3.43 hours

Therefore, each knight would spend 3.43 hours on guard duty in one day

The probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.

To find the probability that an earthquake striking this region will exceed 5.0 on the richter scale, we need to use the cumulative distribution function (CDF) of the exponential distribution.

The CDF of the exponential distribution is given by:

\(F(x) = 1 - e^{(-\lambda x)}\)

where λ is the rate parameter, which is equal to 1/mean for the exponential distribution.

So in this case, λ = 1/2.4 = 0.4167.

To find the probability that an earthquake will exceed 5.0 on the richter scale, we need to calculate:

P(X > 5) = 1 - P(X ≤ 5)

= 1 - F(5)

= \(1 - (1 - e^{(-0.4167*5))\)

=\(e^{(-2.0835)\)

= 0.121

Therefore, the probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.

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Robyn has 4 important files saved on her computer.

To solve this problem, we can use a simple formula that relates the total space occupied by the files to the size of each file:

Total space occupied = Size of each file x Number of files

In this case, we know the total space occupied (84.6 megabytes) and the size of each file (21.15 megabytes), so we can rearrange the formula to solve for the number of files:

Number of files = Total space occupied ÷ Size of each file

Plugging in the values we know, we get:

Number of files = 84.6 megabytes ÷ 21.15 megabytes per file

Simplifying this expression gives us:

Number of files = 4

Therefore, Robyn has 4 important files saved on her computer.

It's important to note that this problem assumes that each file uses exactly 21.15 megabytes of memory. In reality, file sizes can vary depending on their content, so this may not always be the case. Additionally, it's worth noting that file size can be affected by various factors such as compression and encoding, so the actual size of a file on disk may differ from its theoretical size. Nonetheless, for the purposes of this problem, we can assume that each file uses exactly 21.15 megabytes of memory.

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Answer:

(2,4)

Step-by-step explanation:

If it's reflected over the x-axis the y value is multiplied by -1

The linear equation that gives the rule for this table is y = -5x + 15

The table of values is given as:

x y

1 10

2 5

3 0

4 –5

On the above table, we can see that:

As x increases by 1, the value of y decreases by 5

This means that the slope is

Slope = -5

Also, the above table can be modified as follows (using the slope of -5)

x y

0 15

1 10

2 5

3 0

4 –5

This means that the y-intercept is

y-intercept = 15

A linear equation is represented as

y = slope * x + y-intercept

So, we have

y = -5x + 15

So, the equarion is y = -5x + 15

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Answer:

range of given function is -5/3,-1,4/3