Hi there. I am having an issue figuring out which is the base and which is the length.

Answer:

Sol Levin needs to sell 49 pairs shoes on Saturday.

Step-by-step explanation:

29 x 6 = 174

(22 x 3) + 28 + 31 + x = 174

66 + 28 + 31 + x = 174

94 + 31 + x = 174

125 + x = 174

(125 - 125) + x = (174 - 125)

x = 49

Answer:  D is the answer. trust me.

Step-by-step explanation:

The problem that could be solved using the equation 10x+5=35 is option D: After a $5 discount, an order of 10 items cost $35. How much did each item cost?

To solve this problem, we can use the equation 10x + 5 = 35, where x represents the cost of each item. The $5 discount reduces the total cost of the 10 items by $5, so the total cost of the 10 items before the discount would be 10x. Therefore, we can set up the equation:

10x + 5 = 35

Subtracting 5 from both sides, we get:

10x = 30

Dividing both sides by 10, we get:

x = 3

So, each item cost $3 before the discount.

Answer:

A

Step-by-step explanation:

Answer:

x = -30

Step-by-step explanation:

-24 = 6 + x

we'll subtract 6 to get x alone:

-24 - 6 = x

-30 = x

____________

then to check, we plug it back in

-24 = 6 + (-30)

-24 = -24 true! so -30 is right :)

Answer:

-30

Step-by-step explanation:

You can backtrack to find x:

-24-6=-36

-30+6=-24

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.

To understand how to plot the graph, let's consider a few points on the line.

We can choose any values for x and calculate the corresponding values for g(x).

Let's start with x = 0.

Substituting this value into the function, we get g(0) = 0 + 3 = 3.

So, the point (0, 3) is on the graph.

Next, let's choose x = 1.

Substituting this value into the function, we get g(1) = 1 + 3 = 4.

This gives us another point on the line, (1, 4).

Similarly, we can choose more values for x and calculate the corresponding values for g(x).

For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).

By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.

The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.

Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.

In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:

2x - 3y = -5      .......equation 1.

3x + y = -2          .......equation 2.

From equation 2, we have:

y = -3x - 2

By using the substitution method to substitute equation 3 into equation 1, we have the following:

2x - 3(-3x - 2) = -5

2x + 9x + 6 = -5

11x = -5 - 6

x = -11/11

x = -1

For the value of y, we have:

y = -3x - 2

y = -3(-1) - 2

y = 1.

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Answer:

percent of contribution on bike production by Finland= 1916000/89000000*100 = 2.153%

Step-by-step explanation:

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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The statement "most likely about 10% to 30% of the town reads the local newspaper daily" is correct.

A dot plot also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

We have:

A number generator was used to simulate the percentage of people in a town who exercise daily.

The process simulates randomly selecting 100 people from the town and was repeated 20 times.

As we can see in the picture, there is 10% to 30% of the town, most likely needs a newspaper daily.

Thus, the statement "most likely about 10% to 30% of the town reads the local newspaper daily" is correct.

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Using the shell method, the volume integral would be

\(\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx\)

That is, each shell has a radius of x (the distance from a given x in the interval [0, 2] to the axis of revolution, x = 0) and a height equal to the difference between the boundary curves y = x ⁸ and y = 256. Each shell contributes an infinitesimal volume of 2π (radius) (height) (thickness), so the total volume of the overall solid would be obtained by integrating over [0, 2].

The volume itself would be

\(\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx = 2\pi \left(128x^2-\frac1{10}x^{10}\right)\bigg|_{x=0}^{x=2} = \boxed{\frac{4096\pi}5}\)

Using the disk method, the integral for volume would be

\(\displaystyle \pi \int_0^{256} \left(\sqrt[8]{y}\right)^2\,\mathrm dy = \pi \int_0^{256} \sqrt[4]{y}\,\mathrm dy\)

where each disk would have a radius of x = ⁸√y (which comes from solving y = x ⁸ for x) and an infinitesimal height, such that each disk contributes an infinitesimal volume of π (radius)² (height). You would end up with the same volume, 4096π/5.

The volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have a function:

\(\rm y = x^8\)   or

\(x = \sqrt[8]{y}\)

And  y = 256

By using the vertical axis of rotation method to evaluate the volume of the solid formed by revolving the region bounded by the curves.

\(\rm V = \pi \int\limits^a_b {x^2} \, dy\)

Here a = 256, b = 0, and \(x = \sqrt[8]{y}\)

\(\rm V = \pi \int\limits^{256}_0 {(\sqrt[8]{y}^2) } \, dy\)

After solving definite integration, we will get:

\(\rm V = \pi(\frac{4096}{5} )\)  or

\(\rm V =\frac{4096}{5}\pi\) cubic unit

Thus, the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.

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The solution is (-0.5, -1). The graph of the system of linear equations is attached below.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.

We are given two equations:

y-2x=0

⇒ y=2x

and y=8x+3

So,

⇒2x = 8x+3

⇒-6x = 3

⇒x = -0.5

Putting this value in y=2x, we get

y= -1

Thus, the solution is (-0.5, -1).

The graph of the system of linear equations is attached below wherein the blue line represents y-2x=0 and green line represents y=8x+3.

Holly must have got confused in the x-coordinates and the y- coordinates while writing the ordered pair.

Hence, the solution is (-0.5, -1).

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Answer:

0.0707 cm

Step-by-step explanation:

We can solve this using pythgaoras theorem:

a² + a² = c² (We can use the same letter, a, because the lengths are the same length; a² + a² = 2a²)

2a² = 0.1² (simplify the right side; 0.1 × 0.1 = 0.01)

2a² = 0.01 (0.01 ÷ 2 = 0.005)

a² = 0.005 (square root both sides)

a = 0.070710... ≈ 0.0707 cm

Hope this helps!

Answer:

Step-by-step explanation:

Using Pythagoras theorem, let's solve for x.

Hence, the value of x is 0.071 cm.

A formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.

A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses its y-axis is known as the y-intercept, and the slope refers to how steep the line is.

For the given question:

baby's weight is give by equation:  y = m x + b.

In which,  x = age of the baby in months.

y = its weight in pounds.

When, x = 5, y = 19

2 pounds each month; m = 2

Find y-intercept .

19 = 2*5 + c

c = 19 - 10

c = 9

formula for baby's weight:  y = 2x + 9.

Thus, a formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.

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a) The time priya took to practice violin is 114 minutes .

b) The time Tyler took to practice violin is 48 minutes .

To find the solution, the first step is to convert the percentage into decimal form then multiply this number with the given values. We have been given that Han spent 75 minutes practicing piano over the weekend. And,

a) Priya spent 152% as much time as Han, practicing violin.

Thus first converting percentage to decimal we get,

                      152/100 = 1.52

The multiply 1.52 with 75 as it is given 152% of 75

Therefore,  1.52*75 = 114 minutes

Hence, Priya took 114 minutes to practice violin.

b) Tyler spent 64% as much as Han, practicing clarinet.

Thus first converting percentage to decimal we get,

                      64/100 = 0.64

The multiply 0.64 with 75 as it is given 64% of 75

Therefore,  0.64*75 =  48 minutes

Hence, Tyler took 48 minutes to practice violin.

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Answer: hello your question is incomplete attached below is the complete question

answer :

a)   \(\int\limits^3_0 {(10-x)-(x+4)} \, dx\)     ( option D )

b) A =  1/2 (6)(3)   ( option B )

c) Area of shaded region = 9

Step-by-step explanation:

a) Using integration with respect to x

Area =   \(\int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy\)         ( note a = 10 )

          = y^2/2 - 4y |⁷₄  + 10y - y^2/2 |¹⁰₇

          = 33/2 - 12 + 30 - 51/2   = 9

hence the best integral from the options attached is option D

\(\int\limits^3_0 {(10-x)-(x+4)} \, dx\)

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀

= 30 - 9/2 - 9/2 - 12  = 9

b) Using Geometry

Area = 1/2 * base * height

        = 1/2 * 6 * 3

        = 9

Answer:

Step-by-step explanation:

Answer:

False

Step-by-step explanation:   6 28 13  50

skewing to the right of a sysmetrical distribution is a negative skew

Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Answer:

(p+5)(p-2)

Step-by-step explanation:

We are looking for two numbers that multiply to -10 (the rightmost number) and sum to 3 (the middle number)

These are 5 and -2

So we write

(p ____)(p ____)

and fill in the blanks

(p+5)(p-2)

Check by FOILing:

p^2 -2p + 5p -10

And combine the two middle terms.

p^2 + 3p - 10

Answer:

24

Step-by-step explanation:

8 * 3 = 24

12 * 2 = 24

(the star is the multiplication sign)

Hope this helps :)

After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Answer:

(a) S = {GH, GT, BH, BT, RH and RT}

(b) The value of P (A) is 0.15.

(c) A and B mutually exclusive.

(d) A and C are not mutually exclusive.

Step-by-step explanation:

There are 10 cards in a special deck of cards: 4 are green (G), 3 are blue (B), and 3 are red (R).

Also when a card is picked, its color of it is recorded. An experiment consists of first picking a card and then tossing a coin.

(a)

The sample space is:

S = {GH, GT, BH, BT, RH and RT}

(b)

A = a blue card is picked first, followed by landing a head on the coin toss

Compute the probability of event A as follows:

\(P(A)=P(B)\times P(H)\)

         \(=\frac{3}{10}\times\frac{1}{2}\\\\=\frac{3}{20}\\\\=0.15\)

Thus, the value of P (A) is 0.15.

(c)

B = a red or green is picked, followed by landing a head on the coin toss.

The result of the coin toss is same for both events A and B.

So, consider the events,

A as a blue card is picked first

B as a red or green is picked

There is no intersection point for the two events.

Thus, events A and B mutually exclusive.

(d)

C = a red or blue is picked, followed by landing a head on the coin toss.

The result of the coin toss is same for both events A and C.

So, consider the events,

A as a blue card is picked first

C as a red or blue is picked

There is an intersection point for the two events.

Thus, events A and C are not mutually exclusive.

Part(a): The sample space can be written as shown below:

\(S=\{GH,GT,BH,BT,RH,RT\}\)

Part(b): The required probability is \(P(A)=0.15\)

Part(c): The events A and B are mutually exclusive because of \(P( A\ AND\ B ) = 0\) are equal to zero.

Part(d): The events A and C are not mutually exclusive because \(P( A\ AND\ C ) = 0\) are not equal to zero.

A sample space is a collection of a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”.

Part(a):

A special deck contains ten cards with colors red, green, and blue when the card is picked its color gets recorded, and after that coin will get tossed.

Then the sample space can be written as shown below:

\(S=\{GH,GT,BH,BT,RH,RT\}\)

Part(b):

If A is the event that a blue card is picked first followed by landing ahead on the coin toss then the outcome it contains is 3 blue cards and 1 head.

Therefore the \(P(A)\) is calculated below:

\(P(A):P(B)\timesP(H)\\=\frac{3}{10}\times\frac{1}{2}\\ =0.15\)

Part(c):

Mutually exclusive events contain a probability \(P( A\ AND\ B ) = 0\) that means there is no common outcome between them.

Here, it can be noticed that events A and B cannot happen at the same time. That means, the researcher cannot pick the same cards together. Either it could be red or green.

Hence, events A and B are mutually exclusive because of \(P( A\ AND\ B ) = 0\) are equal to zero.

Part(d):

Mutually exclusive events contain a probability \(P( A\ AND\ C ) = 0\)  which means there is no common outcome between them.

Here, it can be noticed that events A and C can happen at the same time because event C can contain all outcomes of event A.

Hence, events A and C are not mutually exclusive because \(P( A\ AND\ C ) = 0\) are not equal to zero.

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Answer:

0.45

Step-by-step explanation:

Since 36 of the cards are sports cards we can write that as a fraction

So that would be 36/80

36/80 simplified is 9/20 (you divide by 4)

and then to make it a percentage we do times 5 which gives us 45/100 which is equal to 45%

45% is equal to 0.45

Answer:

0.45

Step-by-step explanation:

Hope it helps

Answer:

1. dot plot 2. histogram

Step-by-step explanation:

I don't really have an explanation I think that is the right answer good luck

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

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Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

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f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure. This can be obtained using the formula of f(x) = P(X)/Q(X) by vertical asymptotes and factors of the polynomial.

Write an equation for the function:

Let  where P(X) and Q(X) are polynomial function.

The function has the following:

From the given graph, we can say that the vertical asymptotes x = - 2 and x = 3, this means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.

This means that, -3 and 2 are roots of the denominator. Thus, the equation of the denominator is:

⇒ Q(X) = (x + 2)(x - 3)

From the given graph, we can say that the zero is 3, P(X) has the factor (x - 3)

Let a be the leading coefficient of P(X)

⇒ P(X) = a(x - 1)

Now for finding the value of a we can rewrite the equation as,

⇒ f(x) = P(X)/Q(X)

⇒ f(x) = a(x - 1)/[(x + 2)(x - 3)]

⇒ f(0) = a(0 - 1)/[(0 + 2)(0 - 3)]

Since from the graph we can say that the y-intercept is (0, - 2), this means that when x = 0, y = -2, f(0) = - 2

⇒ - 2 = -a/[(2)(- 3)]

⇒ a = - 2 × 2 × 3

⇒ a = - 12

By putting a = -12 in f(x) we get,

⇒ f(x) = 12(x - 1)/[(x + 2)(x - 3)]

Hence f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure.

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