Question 11
Toby found a $52 wallet on the clearance rack for 60% off. If sales tax is 6.25%, how much will he pay in total?
A. $ 22.10
B. $ 23.75
C. $ 28.50
D. $ 33.15
A No answer provided
a. A
b. B
c. C
d. D
Question 10
Angela took 56 minutes to take her history test. Bryan took 70% of the time that it took Angela to complete the test. How long did it take Bryan to take his history test?
A. 36.4 minutes
B. 38.5 minutes
C. 39.2 minutes
D. 41.8 minutes
A. No answer provided
a. A
b. B
c. C
d. D
Question 9
What is 95% of 60 ?

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

12.54

Step-by-step explanation:

When finding the mean, first you add all the numbers in the data:

9+14+14+9+20+6+8+19+17+13+9=138

And then you divide it by the following numbers in the set. In this data set, since there are 11 numbers, you would divide 138 by 11.

138\11=12.5454545

So the answer would be 12.54 if your rounding to the nearest hundred. If your rounding it by a whole number, it would be 13.

Answer:

Step-by-step explanation:

X can be seen as a diagonal line (left to right) on a floor tile, and Y can be the vertical line on a floor tile, everything within the two lines is part of the floor tile.

(this might now help, as it's supposed to be creative, and i'm not sure if it means a creative scentence or a formal one)

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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Answer:

YOU HAVE TO USE THE VECTORS AS WELL MATRIX TO GET THE SOLUTION OF THIS QUESTION

Answer:

64 degrees

Step-by-step explanation:

complementary-angle adds up to 90 degrees.

90-26 is 64 degrees.

Answer:

$405

Step-by-step explanation:

2700 x 0.15 = 15% of 2700

The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

Let's simplify the expression step by step:

Recall the values of trigonometric functions for common angles:

cos(60°) = 1/2

sin(30°) = 1/2

tan(60°) = √(3)

cot(45°) = 1

sec(30°) = 2

Substitute the values into the expression:

\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)

= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)

= 2(1/16 + 1/16) - (3 + 1) + 3*4

= 2(1/8) - 4 + 12

= 1/4 - 4 + 12

= -15/4 + 12

= -15/4 + 48/4

= 33/4

Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

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Differentiate both sides with respect to \(t\). By the chain rule,

\(y = 11x^2 + 5x \implies \dfrac{dy}{dt} = 22x \dfrac{dx}{dt} + 5 \dfrac{dx]{dt}\)

Given that \(x=10\) and \(\frac{dx}{dt}=12\), we find

\(\dfrac{dy}{dt} = 22\times10\times12 + 5\times12 = \boxed{2700}\)

Answer:

Ms. Steiner

Step-by-step explanation:

Mr. Coelho

science = 25 / 50 = 1/2

math  = 30 / 40 = 3/4

not the same rate

Ms. Steiner

science = 20 / 50 = 2/5

math  = 12 / 30 = 2/5

It is the same rate, so they are proportional

Mr. Coelho:  Science: 50 minutes / 25 tests = 2 minutes per test

                     Math: 40 minutes / 30 tests = 1.33 minutes per test.

Ms. Steiner: Science: 50 minutes / 20 tests = 2.5 minutes per test.

                     Math: 30 minutes / 12 tests = 2.5 minutes per test.

The answer is Ms. Steiner.

The rectangle has a length of 8 units along the top and bottom sides, and a height of 6 units along the vertical sides.

A rectangle is a four-sided flat shape with four right angles (90 degree angles) between the sides. It is a type of quadrilateral, which means a shape with four sides.

To find the length of the sides of the rectangle, we can use the distance formula:

d = √((x2 - x1)²+ (y2 - y1)²)

Using the coordinates (-4,4) and (4,4) for the two endpoints of the top side of the rectangle, we get:

d = √((4 - (-4))² + (4 - 4)²) = 8

Since the top side has length 8 and there are two top and two bottom sides of equal length, the perimeter is:

20 = 28 + 2L

where L is the length of one of the vertical sides. Solving for L, we get:

L = (20 - 2*8)/2 = 2

Therefore, the length of the vertical sides of the rectangle is 2 units.

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The length of rectangle is 8 units on the x-axis, and the width of rectangle is 4 units along the y-axis.

The whole distance encircling a rectangle's edge is known as its perimeter. It is the total of the measurements of the rectangle's four sides.

The formula for calculating the perimeter P of a rectangle with length L and width W is as follows:

P = 2L + 2W

According to question:

To find the length of the sides of the rectangle, we can use the distance formula:

\(d = \sqrt{((x_{2} - x_{1} )^2+ (y_{2} - y_{1})^2)}\)

Using the coordinates (-4, 4) and (4, 4)

\(d = \sqrt{((4 - (-4) )^2+ (4 - 4)^2)}\) = 8 units

L (length) = 8 Units

So, the length of the horizontal sides (x-axis) of the rectangle is 8 units.

then, the top side has length 8 and there are top and bottom sides are equal length, the perimeter is: P = (8+8) + 2W

20 = 16 + 2W

where, L is the length of one of the vertical sides. Solving for L, we get:

W = (20 - 16)/2 = 2

So, the length of the vertical sides (y-axis) of the rectangle is 2 units.

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a) The probability that an employee does not know C/C++ = 0.4

(b) The probability that an employee knows either C/C++ or R = 0.8

(c) The probability that an employee knows R and does not know C/C++ =  0.2

(d) The probability that an employee knows at least one of the languages = 0.8

Let us assume that an event A:  employee knows C/C++ languages

here, 60% know C/C++

So, P(A) = 0.6

event B:  employee knows R

here, 50% know R

This means, P(B) = 0.5

30% know both languages

This means, P(A ∩ B) = 0.3

Also, 20% know neither language.

⇒  P(A ∪ B)c = 0.2

a.  the probability that an employee does not know C/C++ would be,

1 - P(A)

= 1 - 0.6

= 0.4

b. the probability that an employee knows either C/C++ or R

We know that the formula, P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.6 + 0.5 - 0.3

P(A∪B) = 0.8

c.  the probability that an employee knows R and does not know C/C++

P(B) - P(A∩B)

= 0.5 - 0.3

= 0.2

d.  the probability that an employee knows at least one of the languages

1 - P(A ∪ B)c

= 1 - 0.2

= 0.8

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Answer:

Disclaimer: I'm not sure because the numbers are too blurry. If my numbers don't match yours, just replace them in my work and recalculate them.

1) not tangent

2) tangent

3) not tangent

Step-by-step explanation:

If they are tangent, the triangles formed will be right triangles.

Check using the Pythagorean theorem:

1) 18² = 14.4² + 11.7²

324 = 207.36 + 136.89

324 ≠344.25       not tangent  

2) 7.5² = 4.5² + 6²

56.25 = 20.25 + 36

56.25 = 56.25     tangent

3) 20² = 12² + 12²

400 = 144 + 144

400 ≠ 288        not tangent

Answer:

see below

Step-by-step explanation:

log 4 (15)

We need to change the base from 4 to 2

log b (a) = log x(a) / log x(b)  where x is the base that we need

log4 (15) = log 2 (15) / log 2 (4)

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

Answer:

2999

Step-by-step explanation:

There's a lot of possibilities bc it didn't mention any tens columns.

Answer:

50 degrees.

Step-by-step explanation:

80-30 is 50. Count down 3 from 8 and then add a 0 if you really need help.

Answer:

b. x = -4 or x = -3

Step-by-step explanation:

\(x^{2} +7x+12\)

To factor this, come up with two numbers that can be multiplied together to get 12, but add to get 7.

We get 4 and 3.

4 + 3 = 7

4 x 3 = 12

Now we can factor with these two numbers:

\((x+4)(x+3) = 0\)

Now, solve for x by separating the factors:

\(x + 4 = 0\)

\(x = -4\)

And,

\(x + 3 = 0\)

\(x = -3\)

So, the answers are -4 and -3.

Answer:

The answers for:

Step-by-step explanation:

In order to find the value of expression, you have to apply gradient formula :

\(m = \frac{y2 - y1}{x2 - x1} \)

So for Question 1,

\(let \: (3,2) \: be \: (x1,y1) \\ let \: (4,j) \: be \: (x2,y2) \\ let \: m = 1\)

\( \frac{j - 2}{4 - 3} = 1\)

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

\(j - 2 = 1\)

\(j = 1 + 2 = 3\)

Question 2,

\(let \: (5,0) \: be \: (x1,y1) \\ let \: (1,k) \: be \: (x2,y2) \\ let \: m = \frac{1}{2} \)

\( \frac{k - 0}{1 - 5} = \frac{1}{2} \)

\( \frac{k}{ - 4} = \frac{1}{2} \)

\(k = \frac{1}{2} \times - 4 = - 2\)

Question 3,

\(let \: (x,2) \: be \: (x1,y1) \\ let \: (3, - 4) \: be \: (x2,y2) \\ let \: m = 2\)

\( \frac{ - 4 - 2}{3 - x} = 2\)

\( \frac{ - 6}{3 - x } = 2\)

\( - 6 = 2(3 - x)\)

\( - 6 = 6 - 2x\)

\( - 6 - 6 = - 2x\)

\( - 2x = - 12\)

\(x = - 12 \div - 2 = 6\)

Question 4,

\(let \: (12, - 4) \: be \: (x1,y1) \\ let \: (r,2) \: be \: (x2,y2) \\ let \: m = - \frac{1}{2} \)

\( \frac{2 - ( - 4)}{r - 12} = - \frac{1}{2} \)

\( \frac{6}{r - 12} = - \frac{1}{2} \)

\( - 1(r - 12) = 2(6)\)

\( - r + 12 = 12\)

\(r = (12 - 12) \div - 1 = 0\)

Answer:

83/10

Step-by-step explanation:

Decimal form:8.3

Mixed number form: 8 3/10

Answer:

Step-by-step explanation:

8.3

Building a regression line from the scatter plot, it is found that the predicted prize money in year 10 of the contest is of: $11,790.

To find the equation, we need to insert the entire set of points (x,y) given by the scatter plot in the calculator.

From the scatter plot, the points are approximated as follows:

(1, 9.5), (2,9), (3,7), (4,10), (5,11), (6, 10), (7, 10.5).

With the help of a calculator, the line of best fit to predict the amount of prize money in year x of the contest is given by:

P(x) = 0.32143x + 8.28571

To find the predicted amount in year 10, we have to find the numeric value when x = 10, hence:

P(10) = 0.32143(10) + 8.28571 = $11,500.

The closest option is $11,790, which is different from $11,500 because the coordinates of the points are approximated from the scatter plot and not exact.

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Answer:

(0,5/2) y intercept

(15/7,0) x intercept

Step-by-step explanation:

To find the y intercept, let x = 0 and solve for y

0 - 6y = -15

Divide each side by -6

y = -15/-6

y = 5/2

(0,5/2)

To find the x intercept, let y = 0 and solve for x

-7x - 0 = -15

Divide each side by -7

-7x/-7 = -15/-7

x = 15/7

(15/7,0)

Step-by-step explanation:

when the line crosses the y axis X is 0, when the line crosses the X axis y is 0 use this to answer it

"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at

Week 3. 17/51 or 0.33 Option C.

This is further explained below.

Generally,  to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.

In conclusion, The week with the highest percentage of sales is week three as

17/51>>8/25>>32%

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

She can make 19 batches of cookies.

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

Step-by-step explanation:

If diameter is 6 then the radius is half of that or 3.

A = pi * r^2

A = pi * 3^2

A = 9pi ft^2