The sale price of every item in a store is 85% of its usual price. The usual price of a sweatshirt is $18, what is its sale price?

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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Answer:

-2/3

Step-by-step explanation:

Answer:

Each book cost $37 dollars.

Step-by-step explanation:

351 - 18 = 333

333 ÷ 9 = 37

To know how much lemonade you can buy with $320, we first need to determine the price of a pint of ice cream. Since you can buy 80 pints with $320, the price of one pint of ice cream is $320 divided by 80, which equals $4.

Next, we need to find the price of a glass of lemonade, which is 3.2 times less than the price of ice cream. Therefore, the price of a glass of lemonade is $4 - (3.2 * $4) = $4 - $12.8 = -$8.8.

Since the price of lemonade is negative, it indicates that you will receive money back for every glass of lemonade you buy. However, since you cannot have a negative quantity of lemonade, the answer would be zero.

In summary, with $320, you can buy zero glasses of lemonade.

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Given

He bought 5/6 pound for $5

The price per pound can be calculated using the formula:

Hence, the price per pound is:

Answer:

price per pound : $6/ pound

Answer:

B) 20.5

Step-by-step explanation:

The triangle is an illustration of a right-angled triangle

The length of BC is 14.5 inches

From the figure (see attachment), the length of BC can be calculated using the following sine rule

\(\sin(65) = \frac{BC}{16}\)

Multiply both sides of the equation by 16

\(BC = 16 * \sin(65)\)

Evaluate the product

BC = 14.5

Hence, the length of BC is 14.5 inches

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The inverse of the given matrix does not exist. To determine if the inverse of a matrix exists, we need to check if the matrix is invertible, which is equivalent to checking if the matrix has a nonzero determinant.

The given matrix is a 2x2 matrix with elements 4, 5, 7, and 9. To calculate the determinant, we multiply the diagonal elements and subtract the product of the off-diagonal elements. In this case, the determinant is (4 * 9) - (5 * 7) = 36 - 35 = 1. Since the determinant is nonzero, we conclude that the matrix is invertible. However, to find the inverse of the matrix, we need to calculate the matrix of cofactors, transpose it, and divide by the determinant.

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Answer:

a) 1

b) 36

c) 3

Step-by-step explanation:

look at the chart

Answer:

spotemgottem?

Answer:

Option F, 10 inches.

Step-by-step explanation:

For a circle of radius R, the perimeter is:

P = 2*pi*R

such that pi = 3.14

If we have a section of that circle defined by an angle θ, the length of the arc is:

A = (θ/360°)*P =  (θ/360°)* 2*pi*R

In this case, we have a circle whose radius is defined by the length of the windshield wiper.

We also know that in one 90° revolution (so it travels the length of the arc of 90° two times) the tip travels a distance of 31 in.

Then:

A = 2*[(90°/360°)*2*3.14*R] = 31in

We need to solve this for R.

R = 31in/( 2*(90°/360°)*2*3.14) = 9.8in

We can round this to the next whole number:

R = 10in

The correct option is F.

Linear functions are used to represented straight lines.

The linear function is \(y = -\frac 12x + 1\)

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

Substitute values for x and y

\(m = \frac{1 - 0}{ 0 -2}\)

\(m = \frac{1 }{ -2}\)

Rewrite as:

\(m = -\frac{1 }{2}\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

This gives

\(y = -\frac 12(x -0) + 1\)

\(y = -\frac 12(x) + 1\)

Open bracket

\(y = -\frac 12x + 1\)

Hence, the linear function is \(y = -\frac 12x + 1\)

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The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

x-intercepts of the graphed function are,

x = -3 and x = 4

Therefore, zero factors of the function will be,

(x + 3) and (x - 4)

So the quadratic function given in the graph will be in the form of,

f(x) = (x + 3)(x - 4)

Option (B) will be the correct option.

Answer:

$566.19

Step-by-step explanation:

If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)

Using combinations, we know that 4 different types of items will be selected.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We can choose the components of combos in any order.

Permutations and combinations can be mixed up.

Combination formula: \(n C r=\frac{n !}{(n-r) ! r !}\)

So, this formula, commonly known as the NCR formula, determines the number of combinations that may be made with r items out of the n available options.

We, therefore, have 4 objects, and a person chooses 3 at random.

\(\begin{aligned}& n C r=(n, r)=(4,3) \\& =\frac{4 !}{3 !(4-3) !} \\& =4 ! / 3 ! \\& =4\end{aligned}\)

Therefore, using combinations, we know that 4 different types of items will be selected.

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Answer:

what is the topic?

Step-by-step explanation:

just want to give you the right answer

Answer:  x = 2

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

Explanation:

Refer to the diagram below.

I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).

Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)

Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.

The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.

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

Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.

The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10

Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.

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

Now let's solve for x

6x-10 = 3x-4

6x-3x = -4+10

3x = 6

x = 6/3

x = 2

Answer:

130.81

Step-by-step explanation:

Given that :

Mean, μ = 100

Standard deviation, σ = 15

To obtain the upper 2% of scores :

We find the Zscore (value) of the upper 2% from the normal probability distribution table ;

Zscore corresponding to the area in the left of (1 - 0.02) = 2.054

Using this with the Zscore formula :

Zscore = (x - μ) / σ

2.054 = (x - 100) / 15

2.054 * 15 = x - 100

30.81 = x - 100

30.81 + 100 = x

x = 130.81

Answer:

100 points

Step-by-step explanation:

As it is mentioned that she has scored 54 points already and each coin has 23 points.

54+23+23 =100

SORRY IF WRONG

A vector is in the direction 39.0∘ clockwise from the −y-axis. The x-component of A is Ax = -18.0 m. What is the y-component of A? To determine the y-component of A, we will use the trigonometric ratio.

sinθ = opposite/hypotenuse where θ = 39.0°, hypotenuse = |A|, and opposite = Ay. Therefore, sinθ = opposite/hypotenuse Ay/|A| = sinθ ⟹ Ay = |A| sinθSince A is in the third quadrant, its y-component is negative.

Ay = - |A| sinθWe know the x-component and we know that it is negative, so the vector is in the third quadrant, and the y-component is negative.

Ax = -18.0 m, θ = 39.0°We know that the magnitude of A is:

A = √(Ax² + Ay²)Since Ax = -18.0 m, we can substitute it into the equation:

A = √((-18.0)² + Ay²)B) The magnitude of A is |A| = 19.4 m.

We can conclude that the y-component of A is -11.5 m, and the magnitude of A is 19.4 m.

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The y-component of vector A, given that the vector is pointing 39 degrees clockwise from the -y axis and has an x-component of -18 m, is approximately -14.67 m. The magnitude of this vector is about 23.03 m.

Firstly, since the vector A is pointing 39 degrees clockwise from the -y axis, it means our angle with respect to the standard x-axis is 180-39 = 141 degrees. We use the trigonometric relation cos(α) = Ax/A or Ax = A cos(α) to isolate A in the equation (magnitude of A), we get that A = Ax/cos(α). Substituting given values, we get A approximately equal to 23.03 m.

Then, the y-component can be found using sine relation: Ay = A sin(α). Substituting A=23.03 m and α= 141 degrees gives us Ay approximately equal to -14.67 m. Therefore, the y-component of A is -14.67 m and the magnitude of A is approximately 23.03 m.

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Answer:

5.38 ounces

Step-by-step explanation:

Given that :

Alice height = 1 mile

Distance of earth to moon = 239000 miles

Number of base 10 cakes required so they Alice's head just touches the moon ;

Using the relation :

Distance = height per ounce * 10^number of ounces

Height per ounce = 1 mile ;

Let number of ounces = n

Hence,

239000 = 1 * 10^n

239000 = 10^n

Take log of both sides

Log(239000) = n

5.3783979 = n

5.3784 = n

Hence, Alice should take 5.38 ounces of base 10 cakes

The end behavior of a function describes how the function behaves as x approaches positive or negative infinity. To determine the end behavior of f(x) = 1 - 3x, we can look at the leading term, which is -3x.

As x becomes very large (either positive or negative), the value of -3x becomes very large in the opposite direction. That is, as x approaches positive infinity, -3x approaches negative infinity, and as x approaches negative infinity, -3x approaches positive infinity.

Since the constant term 1 does not have any effect on the end behavior, we can conclude that the function f(x) = 1 - 3x decreases without bound as x approaches positive infinity and increases without bound as x approaches negative infinity.

In other words, the end behavior of f(x) = 1 - 3x can be described as:

As x → ∞, f(x) → -∞

As x → -∞, f(x) → +∞

Answer:

112 seconds

Step-by-step explanation:

According to my calculations girl here to tell you how.

40*14=560

560/5=112

if 14 is hours and 40 is minutes, multiplying and dividing by five gives you

*DRAMATIC MUSIC*

112 seconds

Answer:

176 minutes

Step-by-step explanation:

14 hours equals 840minutes + 40 minutes = 880 minutes

880/5=176

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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Answer:

y = 10x-37

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 10x+b

Substitute the point into the equation

3 = 10*4+b

3 = 40+b

Subtract 40

3-40 = 40+b-40

-37 = b

y = 10x-37

Answer: y = 10x - 37

Step-by-step explanation:

Hope it helps <3

Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)

Answer:

i hope it helps you understand

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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