The minor arc measures of circle Z are shown in the figure.

Circle Z is shown. Radii Z Y, Z X, Z W, Z V, Z U, and Z T are shown. The arc measure of Y X is 71 degrees, the arc measure of X W is 32 degrees, the arc measure of W V is 71 degrees, the arc measure of V U is 78 degrees, the arc measure of U T is 54 degrees, and the arc measure of T Y is 54 degrees.

Use the drop-down menus to complete each statement.

Angle UZT is congruent to angle

.

Angle VZW is congruent to angle

.

According to the developed scale, a radiant day is 16 times brighter than a dim day.

We assume the brightness of a dim day to be x.

According to the developed scale, the brightness of an illuminated day will be 4 times that of a dim day.

Thus, the brightness of an illuminated day = 4*the brightness of a dim day = 4x.

According to the developed scale, the brightness of a radiant day will be 4 times that of an illuminated day.

Thus, the brightness of a radiant day = 4*the brightness of an illuminated day = 4*4x = 16x.

Now, the ratio of the brightness of a radiant day to the brightness of a dim day = 16x:x = 16x/x = 16:1.

Thus, according to the developed scale, a radiant day is 16 times brighter than a dim day.

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The question provided is incomplete. The complete question is:

"Suppose you have developed a scale that indicates the brightness of sunlight. Each category in the table is 4 times brighter than the next lower category. For example, a day that is dazzling is 4 times brighter than a day that is radiant. How many times brighter is a radiant day than a dim day?

Dim=2

Illuminated=3

Radiant=4

Dazzling=5"

The number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.

If the two work together;

Time taken for both to complete the task = Surveyors rate of work + Apprentice rate of work

= 1/8 + 1/7

= (7+8) / 56

= 15/56 hours

Therefore, the number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.

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let's firstly convert the mixed fractions to improper fractions and them proceed.

[tex]\stackrel{mixed}{6\frac{1}{7}}\implies \cfrac{6\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{43}{7}} ~\hfill \stackrel{mixed}{3\frac{5}{9}}\implies \cfrac{3\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{32}{9}} \\\\\\ \stackrel{mixed}{4\frac{1}{6}}\implies \cfrac{4\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{25}{6}} ~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ ~~ \frac{6\frac{1}{7}}{x}+3\frac{5}{9} ~~ }{4\frac{1}{6}}~~ = ~~1\frac{1}{3}\implies \cfrac{ ~~ \frac{ ~~ \frac{43}{7} ~~ }{x}+\frac{32}{9} ~~ }{\frac{25}{6}}~~ = ~~\cfrac{4}{3}\implies \cfrac{ ~~ \frac{43}{7x}+\frac{32}{9} ~~ }{\frac{25}{6}}~~ = ~~\cfrac{4}{3}[/tex]

[tex]\cfrac{43}{7x}+\cfrac{32}{9}~~ = ~~\cfrac{25}{6}\cdot \cfrac{4}{3}\implies \cfrac{43}{7x}+\cfrac{32}{9}~~ = ~~\cfrac{50}{9}\implies \cfrac{43}{7x}~~ = ~~\cfrac{50}{9}-\cfrac{32}{9} \\\\\\ \cfrac{43}{7x}~~ = ~~\cfrac{18}{9}\implies \cfrac{43}{7x}=2\implies 43=14x\implies \cfrac{43}{14}=x\implies 3\frac{1}{14}=x[/tex]

The number of quick car and premium car washes ordered are 75 and 50 respectively.

The system of equation models the situation

x + y = 125

5x + 8y = 775

Therefore,

5x + 5y = 625

5x + 8y = 775

3y = 150

divide both sides 3

3y / 3 = 150 / 3

y = 50

Therefore,

x + y = 125

x + 50 = 125

x = 125 - 50

x = 75

Therefore, the number of quick car and premium car washes ordered are 75 and 50 respectively.

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Answer:

50 and 75

Step-by-step explanation:

The distance of the spaceship in discuss as in the task content given can be evaluated as; 800miles.

The distance travelled by the spaceship in discuss can be evaluated by means of the slope of the linear relationship as follows;

Hence it follows from ratios that by observation, the linear relationship has a slope of 200mi/min.

Consequently, we can evaluate the distance travelled after 4 minutes as;

Distance = 200 × 4 = 800mi.

Ultimately, the distance travelled per minute by the spaceship is; 800mi.

Remarks:

600 miles

520 miles

800 miles

1,080 miles

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Answer:

area = 10

Step-by-step explanation:

Triangle BOC is a right triangle. You can see this because the slope of BO and OC are negative reciprocals (opposite sign and flipped over) You can calculate the slope, m.

m = (y-Y)/(x-X)

Slope of BO is 4/2,

slope of OC is -2/4.

see image.

So then you can use BO and OC as the base and height in an area calculation.

But first you have to calculate the length of each. Luckily they are the same length. You can use distance formula, but when you have a picture, you can just see to use Pythagorean theorem (distance formula comes from PythagThm anyway)

Both BO and OC have legs length 2 and 4. See image. They are both length sqrt20.

Use Area= 1/2bh to find the area. See image.

Answer:

  $0.04

Step-by-step explanation:

The cost per ounce is found by dividing the cost by the number of ounces.

In 2 gallons, there are 2×128 fl.oz. = 256 fl.oz. Then the cost per ounce is ...

  cost/ounces = $10.24/(256 fl.oz) = $0.04 /fl.oz.

The cost of the laundry detergent is $0.04 per fluid ounce.

__

Additional comment

Keeping the units with the numbers in a calculation can give you confidence that the calculated result has the units you want it to have.

the equation with these solutions is:

0 = x^2 - 6x + 6

Remember that a quadratic equation with the solutions a and b is written as:

0 = (x - a)*(x - b)

Here we have the solutions:

Then we can write a quadratic equation of the form:

0 = (x - (3 + √3) )*(x - (3 - √3) )

0 = (x - 3 - √3)*(x - 3 + √3)

Expanding that, we get:

0 = x^2 - 6x + 9 - 3

0 = x^2 - 6x + 6

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Solving a system of equations we can see that there are 270 sweets and 38 pupils.

Let's define the variables:

P = number of pupils.

S= number of sweets.

With the given information, we can write:

7*P + 4 = S

5*P  + 80 = S

So we have a system of equations, now we can write:

7*P + 4 = S = 5*P  + 80

Solving that for P:

7*P + 4 = 5*P + 80

7*P - 5*P = 80 - 4

2*P = 76

P = 76/2 = 38

There are 38 pupils, and the number of sweets is given by:

S = 7*P + 4 = 7*38 + 4 = 270

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Answer:

nope

Step-by-step explanation:

simplify the first equation

Answer:

  yes

Step-by-step explanation:

The associative and commutative properties of multiplication allow you to rearrange the product to the form shown in the question.

Division by 2 is effectively multiplication by 1/2.

  [tex](n\times(n+1))/2\qquad\text{given}\\\\=\dfrac{n(n+1)}{2}=\dfrac{n}{2}(n+1)\\\\=\boxed{(n/2)(n+1)}[/tex]

__

Additional comment

Evaluation of the expressions according to the order of operations will proceed differently for the two expressions.

For the first expression, evaluation steps are ...

For the second expression, evaluation steps are ...

As we said above, the properties of multiplication ensure the results are the same either way.

As a practical matter, for integer values of n, one of n and (n+1) will be even. It is usually convenient to divide the even number by 2. This means the evaluation might be ...

For certain computer representations of the numbers, results may differ depending on the specific numbers and the order of evaluation.

Answer:

8.5

Step-by-step explanation:

4 + (6)(6)/8=

17/2 = 8.5

Answer:

8.5

Step-by-step explanation:

6 x 6 = 36/8 = 4.5 + 4 = 8.5

1) A translation 2 units right

2) A reflection over the x-axis

The volume of the figure is 1, 005. 4 mi³

Note that the figure is a cylinder

The formula for volume of a cylinder is given as;

Volume = πr²h

Where

h = height = 5 mi

r = radius = 8mi

Substitute into the volume

Volume = 3. 142 × 8 × 8 × 5

Volume = 1,005. 4 mi³

Thus, the volume of the figure is 1, 005. 4 mi³

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Based on the amount of oranges bought, those sold at a profit and those sold at a loss, the overall profit is 14.2%

Assume that the buying price was $1 each.

The amount earned from 60% of them is:

= 60% x 100,000 x 1

= $60,000

The profit from selling 50% of the remaining is:

= (50% x 40,000) x 1.60

= $32,000

The loss from selling the other 50%:

= (50% x 40,000) x 0.90

= $22,222.22

Total selling price:

= 60,000 + 32,000 + 22,222.22

= $114,222.22

Total profit:

= (114,222.22 - 100,000) / 100,000

= 14.2%

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Answer:

D

Step-by-step explanation:

I did the assignment

hope this helps :)

The regression equation between the variables is y = 1.03x + 62.12 and the blood pressure on the left arm given that the systolic blood pressure in the right arm is 85 mm Hg is 149.67

From the table of values, we make use of the following representations:

Using the above representations, we can now plot our data values on a graphing calculator

From the graphing calculator, we have the following summary:

The regression equation is

y = bx + a

Where

b = SP/SSX = 618.8/601.2 = 1.02927

a = MY - bMX = 156.4 - (1.03*91.6) = 62.11843

This gives

y = 1.03x + 62.12

Hence, the regression equation between the variables is y = 1.03x + 62.12

To predict the blood pressure on the left arm given that the systolic blood pressure in the right arm is 85 mm Hg, we have

y = 1.03 * 85 + 62.12

Evaluate

y = 149.67

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The length of the diagonal of the canvas = 27 inches.

The correct option is D.

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

the Hight of the rectangle = 18 inches

the angle it form sinθ = H/P

H = 18

P =

cosθ = 48

cosθ = H/P

cosθ =18/P

P = 18/cosθ

 = 29.60

= 27

The length of the diagonal of the canvas = 27 inches.

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Answer:

V₁ = 104 in.³  ,  S₂ = 650 in. ²

Step-by-step explanation:

⇒ Ratio = 4/10 = 2/5

⇒ V₁ : V₂ = (ratio)³ = 8/125  {geometric scale}

⇒ S₁ : S₂  = (ratio)² = 4/25

∴ V₁ = 8/125 × V₂ = 1,625 in³ × 8/125 = 104 in.³

⇒ S₂ = 25/4 × S₁ = 104 in² × 25/4 = 650 in.²

Answer:

Please make the question clearer, but I would say B

Step-by-step explanation:

I am not sure what you mean, to me the question is unclear

Answer:

105.

Step-by-step explanation:

x/120 = 56/64   where x is the length of missing segment

64x = 120*56

x =  (120*56)/64

  =  105.

Answers are in bold

A   larger   standard deviation represents an overall wide spread of data points while a   smaller   standard deviation represents a closely clustered set of points.

Keep in mind the standard deviation cannot be negative. A standard deviation of 0 means that every data value is the same number; hence it is the most clustered set possible. There is no upper limit on how big the standard deviation can be.

If needed, replace "larger" with "large". And if needed, replace "smaller" with "small". I think it will depend on how your teacher wants you to word it. In all honesty, I'm not very good with grammar.

A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.

The term "standard deviation refers to a measurement of the data's dispersion from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation cannot be negative, so keep that in mind. The most tightly clustered set of data is one with a standard deviation of 0, which denotes that all the data values are the same.

The size of the standard deviation has no upper bound.

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Answer:

B. 183

Step-by-step explanation:

m<L = (1/2)[m(arc)KN - m(arc)KM)]

35 = (1/2)(177x - 107x)

70 = 70x

x = 1

m(arc)KN = 177x = 177

m(arc)NMK = 360 - m(arc)KN

m(arc)MNK = 360 - 177

m(arc)MNK = 183

The linear functions with their slopes ranked from least to greatest are given as follows:

E. I, K, J.

A linear function is modeled by:

y = mx + b

In which:

In this problem, we have that:

Hence the linear functions with their slopes ranked from least to greatest are given as follows:

E. I, K, J.

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Answer:

12 sqrt (10)

Step-by-step explanation:

S = (12 + 11 + 7) / 2 = 15

A = sqrt (s(s-a)(s-b)(s-c))

= sqrt (15(15-12)(15-11)(15-7))

= sqrt (15*3*4*8)

= sqrt (1440)

= 12 sqrt (10)

Answer:

0.342

Step-by-step explanation:

round to the given amount of significant figures

The height of the flagpole is 12.4 meters and the altitude of the balloon is 29.1 meters

See attachment for the diagram, when redrawn

Start by calculating the length AB using the following tangent function

tan(22) = BC/AB

This gives

tan(22) = 9/AB

Make AB the subject

AB = 9/tan(22)

Evaluate the quotient

AB = 22.3

The length DB is then calculated using:

tan(9) = DB/AB

This gives

tan(9) = DB/22.3

Make DB the subject

DB = 22.3 * tan(9)

Evaluate

DB = 3.35

The height of the flagpole is then calculated as:

Height = DB + BC

This gives

Height = 3.35 + 9

Evaluate

Height = 12.35

Approximate

Height = 12.4

Hence, the height of the flagpole is 12.4 meters

The diagram that illustrates the scenario is added as an attachment

Calculate the value of y using the following tangent functions

tan(57) = x/y and tan(72) = (15 + x)/y

Make y the subject in tan(57) = x/y and tan(72) = (15 + x)/y

y = x/tan(57) and y = (15 + x)/tan(72)

Substitute y = x/tan(57) in y = (15 + x)/tan(72)

x/tan(57) = (15 + x)/tan(72)

Evaluate the tangent ratios

x/1.5 = (15 + x)/3.1

Cross multiply

3.1x = 22.5 + 1.5x

Evaluate the like terms

1.6x = 22.5

Divide by 1.6

x = 14.1

The altitude of the balloon is then calculated as:

Altitude = 14.1 + 15

Altitude = 29.1

Hence, the altitude of the balloon is 29.1 meters

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4 andfirst find x by finding its smallest factor

The solution to the given system of equation is -7 and 7

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given:

4x² = 196

4x²/4= 196/4

x² = 49

x=√49

x= ±7

Hence, the solution to the given system of equation is -7 and 7

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The margin of sampling error for a 95% confidence interval is 9.7%

The formula for margin of error here is;

E = z√(p(1 - p)/N)

where;

n is sample size

z is the z score

p is the sample proportion

z-score for a 95% confidence interval from tables is 1.96.

We are given;

p = 43% = 0.43

n = 100

Thus;

E = 1.96√(0.43(1 - 0.43)/100)

E =  0.097 = 9.7%

Thus, we can conclude that  the margin of sampling error for a 95% confidence interval is 9.7%

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Answer:

6

Step-by-step explanation:

45/8=5.625

Since there are .625 children left, we need to add another ride to fill in what's left.