A ceramist uses (² + v) pints of glaze for v porce-lain vases. What is the maximum number of vasesthe ceramist can glaze with 20 pints of glaze?

Answer:

Each square piece of wood will be 6 inches

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

2/3x-1=4

2/3x=4+1

2/3x=5

x=5/(2/3)

x=(5/1)(3/2)

x=15/2

Answer:

the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.

Step-by-step explanation:

The given inequality is:

cos(0.65x) > 0.44

To solve this inequality, we need to isolate the variable x.

First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:

arccos(cos(0.65x)) > arccos(0.44)

Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:

0 ≤ 0.65x < π

Now, let's solve for x by dividing each part of the inequality by 0.65:

0/0.65 ≤ x < π/0.65

Simplifying, we have:

0 ≤ x < π/0.65

Now, let's calculate the approximate value of π/0.65 to determine the interval for x:

π/0.65 ≈ 4.834

i hope i helped!

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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Answer:

SCALE FROM . TO 120 AD I HAVE DONE I HOPE IT WILL HELP YOU

The simplified expression of 4√6/√30 by rationalizing the denominator is (8√5) / 15.

To rationalize the denominator, multiply both the numerator and denominator by a factor that will eliminate the radical from the denominator.

In this case, multiply both the numerator and denominator by the radical conjugate of the denominator, which is also √30.

(4√6)/√30 = (4√6/√30) × (√30/√30)

= (4√6√30) / 30

= (4√(630)) / 30

= (4√180) / 30

= (4√365) / 30

= (4 x 6√5) / 30

= (8√5) / 15

Therefore, the simplified expression is (8√5) / 15.

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Answer:

4/5

Step-by-step explanation:

.8 is 8% 8/1

\(8\% =\dfrac{8}{100} = \dfrac{2}{25}\)

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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The two angles and non included side of one triangle must be congruent to two angles and non included side of another triangle.

What is congruent triangle?

Two triangles are stated to be congruent if the 3 facets and the 3 angles of each the angles are same in any orientation.

When angles and facet blanketed in among those angles of 1 triangle are identical as any other one, each those triangle are Congruent.

This standards of congruency is is aware of as ASA criterion as a facet blanketed among angles are all identical.

If angles and a non-covered facet in a single triangle are congruent to 2 angles and the corresponding non-covered facet in any other triangle, then the triangles are congruent.

Hence, the two angles and non included side of one triangle must be congruent to two angles and non included side of another triangle.

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Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

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

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The system of equations that is represented by the graph include:

D. y = x - 4

   \(y=\frac{x-4}{x+2}\)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of the red line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 5)/(4 + 1)

Slope (m) = 5/5

Slope (m) = 1

At point (4, 0) and a slope of 1, a linear equation for C can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 0 = 1(x - 4)

y = x - 4

Since the rational function has a y-intercept of (0, -2), it would have a vertical asymptote and the denominator would be undefined at x = 2;

\(y=\frac{x-4}{x+2}\)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The surface area of all faces of the cube is found as in  150,100 mm².

A solid shape having six square faces is called a cube. Because every square face has an identical side length, each face is the same size.

Area of the cube:

Area = 6*side²

Area = 6*(5)²

Area = 150 cm²

We know:

1 cm = 10 mm

Then,

Area = 150 x 100 mm²

Area = 150,100 mm²

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The complete question is-

The cube has the side length of 5 cm. How to determine the area of all faces in mm2

The correct measures of these two angles are, 30°  and 150°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

He also wants the measure of ∠A to be five times the measure of ∠D.

Let the smaller side is x then other side is 5x,

so, we get,

x+5x=180°[interior property]

on solving we get

6x=180°

x=30°

therefore, the other side is 5x

                                             =5*30°

                                             =150°

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Answer:

7.

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

For example, in the number 0.27845;

Therefore, given the number 0.27845.

The digit representing hundredths in 0.27845 is 7.

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, you can find the distance between two lines using the formula for the distance to a line.

In general, the notion of distance between two lines only make sense when the lines are parallel.

The usual formula for the distance between a point (x, y) and the line ...

  ax +by +c = 0

is ...

  d = |ax +by +c|/√(a^2 +b^2)

Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...

we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...

  d = |ax +by +c1|/√(a^2 +b^2)

Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:

  d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)

Simplifying gives ...

  d = |c1 -c2|/√(a^2 +b^2)

Answer:

Answer:

A) 1/2x-6=-2x-1

B) x=2

Step-by-step explanation:

question A is asking to set up a system of equations

f(x)=g(x) is the original expression

substitute the equations into this to get 1/2x-6= -2x-1

for b, when you solve this equation you get x=2

sorry for the formatting I'm new here

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

15 + 1.50n = cost of one pizza

Step-by-step explanation:

Hope I helped.

Answer:

y = 3/2x - 1.5

Step-by-step explanation:

m = y² - y¹ / x² - x¹

= 9 - 6 / 7 - 5

= 3/2

(5,6)

y = mx + c

6 = 3/2 (5) + c

6 = 7.5 + c

6 - 7.5 = c

c = -1.5

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer:

21 multiplyed by .3%

Step-by-step explanation:

Answer:57.6^3

thats t

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

y= -1/3x +5

Step-by-step explanation:

Using the equation y=mx+b

you know m (slope), which is -1/3

you also know your b which is 5

You get y= -1/3x+5