Consider the following circle with center at point O.
Circle O with points R, U, S and T on the circle. Segments SR and TU pass through point O. Segment RT is also shown in the diagram.


Identify one radii, one diameter, and one chord of the circle. Justify your answers.

Answer:

-7 ≤ f(x) ≤7

Why:

The set of values of the dependent variable for which the function is good.

Answer:

150 units³

Step-by-step explanation:

l * w * h = volume, so...

10*5*3 = volume

150 = volume

Answer: its 150 i took the test

Step-by-step explanation:

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

Option C: 90 is correct.

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

The total number of ways to get from Charleston to Greenup is option C) 90.

To determine this, multiply the number of roads for each section:

Then, multiply the numbers of roads for all the sections: [tex]5 * 6 * 3 = 90[/tex].

Answer:

(x - 8)² + (y - 1)² = 36

None of the above

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 8)² + (y - 1)² = 6²

(x - 8)² + (y - 1)² = 36

Answer:

150.72

Step-by-step explanation:

Used calculator

Answer:

576

Step-by-step explanation:

Answer:

1478ft³

Step-by-step explanation:

12x12x12=1728 ft³

16(2.5x2.5x2.5)= 250ft³

1728-250=1478ft³

There are 1478ft³ left in the shed

Answer:

Step-by-step explanation:

He set the factored expressions equal to eachother

Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

We are given that;

f(x) = x2 + 4x + 3

Now,

To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:

x^2 + 4x + 3 = 0

You can factor this quadratic equation as:

(x + 3)(x + 1) = 0

Then, you can use the zero product property to find the values of x that make the equation true:

x + 3 = 0 or x + 1 = 0

Solving for x in each equation gives:

x = -3 or x = -1

Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).

Learn more about standard error here:

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Answer:

See below

Step-by-step explanation:

You have not provided the options.

But I will explain how you can work it.

Coterminal angles are two or more angles that have the same terminal side in standard.

If you want to find an angle that is coterminal with 98°, you keep adding or subtracting 360°.

[tex]98 + 360 = 458 \\ 98 + 2 \times 360 = 818[/tex]

[tex]98 - 360 = - 262[/tex]

Therefore 488°, 818°, -262° are examples of angles that are coterminal with 98°

Answer:

true

Step-by-step explanation:

Order matters because if you switch it around it means a totally diffrent thing for example 1:2= 1/2 and 2:1 = 2/1. you see it really does matter.

Given:

Radius of in circle (r) = 2 cm

Radius of out circle (R) = 4 cm

To find:

The area of the shaded region.

Solution:

The value of π = 3.14

Area of in circle = πr²

                          = 3.14 × 2²

Area of in circle = 12.56 cm²

Area of out circle = πR²

                          = 3.14 × 4²

Area of out circle = 50.24 cm²

Area of the shaded region = Area of out circle - Area of in circle

                                            = 50.24 - 12.56

                                            = 37.68 cm²

The area of the shaded region is 37.68 cm².

Answer:

19% of 205 = 38.95

Hope this helps love!

Answer:

Yes: A, B, F

No: C, D, E

Step-by-step explanation:

2(x + 7) = 36

First divide both sides by 2

(x + 7) = 36/2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

Since the given equation is 2(x + 7) = 36

Here we first divide both sides by 2

So,

(x + 7) = 36 ÷ 2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

Therefore, The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

Learn more about an equation here: https://brainly.com/question/22345093

Answer:

point c is the correct answer

Step-by-step explanation:

Answer: total profit = $418

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

Work Shown:

June

Income = (4 lawns)*($27 per lawn) = $108

Expenses = ($32 for gas)+($12 for trim line) = $44

Profit = income - expenses = 108-44 = $64

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

July

Income = (12 lawns)*($20 per lawn) = $240

Expenses = ($89 for gas)+($29 for blade sharpening) = $118

Profit = income - expenses = 240 - 89 = $151

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

August

Income = (16 lawns)*($20 per lawn) = $320

Expenses = ($101 for gas)+($16 for oil) = $117

Profit = income - expenses = 320-117 = $203

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

Total profit = (june profit)+(july profit)+(august profit)

Total profit = (64) + (151) + (203)

Total profit = $418

If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.

Answer:=2

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation: 1/2*2=1/4

The probability of winning two games in a row, with each win having a 1/2 chance, is 1/4 or 25 percent, calculated by multiplying the individual probabilities for each game using the product rule.

The probability that you win a game is given as 1/2, and since the games are independent, the probability of winning both games in a row is found by multiplying the probabilities of each individual game. Using the product rule, P(win game 1 and game 2) = P(win game 1) × P(win game 2).

Since P(win) = 1/2 for each game, we simply calculate:

P(win both games) = (1/2) × (1/2) = 1/4.

Therefore, the probability of winning both games is 1/4 or 25 percent.

Answer:

x=1

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's solve

3(x-5)=18

Open the bracket

3x-15=18

Add 15 to both sides

3x=3

Make x the subject of formula by dividing both sides by 3

x=1

So the final answer is 1

Answer:

x = 11

Step-by-step explanation:

First Expand the Brackets

3x-15 = 18

Then add 15 onto both sides

3x = 33

Divide both sides by 3

x = 11

Answer:

so a number s (s) is subtracted from seven (7 take away s or 7-s) when the result (7-s) is divided by 3 [(7-s)/3] the quotient is 2 (=2)

(7-s)/3=2

multiply both sdis by 3

7-s itmes 3/3=2 times 3

7-s=6

subtract 7 from both sdies

-s=-1

multily -1

s=1

7-x=y

y/3=2

y=6

7-x=6

-x= -1

x=1

Answer: 1/25

Step-by-step explanation:

Answer:

r=5.4

As mentioned above, the actual \goldE{\text{total quantity}}total quantitystart color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, end color #a75a05 is 1000-10=\goldE{990}1000−10=9901000, minus, 10, equals, start color #a75a05, 990, end color #a75a05 grams, since we are trying to find the volume of the air within the shell.

Let's denote the ball's radius as rrr. Then, the \maroonD{\text{volume}}volumestart color #ca337c, start text, v, o, l, u, m, e, end text, end color #ca337c is \maroonD{\dfrac43\pi r^3}  

3

4

​  

πr  

3

start color #ca337c, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c.

Now we can plug \blueE{\text{density}=1.5}density=1.5start color #0c7f99, start text, d, e, n, s, i, t, y, end text, equals, 1, point, 5, end color #0c7f99, \goldE{\text{total quantity}=990}total quantity=990start color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, equals, 990, end color #a75a05, and \maroonD{\text{volume}=\dfrac43\pi r^3}volume=  

3

4

​  

πr  

3

start color #ca337c, start text, v, o, l, u, m, e, end text, equals, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c in the equation.

Hence the correct answer is Option (A) i.e. 37

The composition of a function is an operation where two functions say f and g generate a new function.

Given,

        [tex]f(x)= x^2+1[/tex]-------------------(1)  

and,  [tex]g(x)= x-4[/tex]

Now ,

          [tex]fog(x)=f[g(x)][/tex]

                     [tex]=f(x-4)[/tex]

                     [tex]=(x-4)^2+1[/tex]       (from 1)

                     [tex]=x^2-8x+16[/tex][tex]+1[/tex]  

         [tex]fog(x)=x^2-8x+17[/tex]-----------------(2)

Now , we need to find  [tex]fog(10)[/tex]

so, put x=10 in equation 2, we get:

[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]

Hence, the answer is 37

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Answer:

11x

Step-by-step explanation:

You can add all the coefficients together:

1+4+6 = 11

Answer:

11x.

Step-by-step explanation:

Combine like terms, they are alike because they share the same variable. Add x with 4x which is 5x, or you could do this. x+ x+x+x+x= 5x. 5x means you have 5 x's. Then combine 5x with 6x which is 11x. Hope this helps!

Answer:

x is 1 and y is negative 2. (1, -2).

Step-by-step explanation:

Hope this helps!

ANSWER

X=1 and y=-1

Hopefully this is the correct answer

The greatest percent discount is the option where the item is on sale at 60% of the original price. This is because you are paying the smallest percentage (60%) of the original price compared to the other options, representing the largest discount.

The question is pertaining to discounts and how to determine which option gives the greatest percent discount. Finding the greatest percent discount involves comparing the different percentage decreases from the original price. We can ignore any impact of sales tax for this particular comparison.

Here are the discounts rephrased in terms of how much of the original price you would pay:

Now, comparing these percentages (75%, 70%, and 60%), the smallest percentage represents the largest discount. Therefore, option 3, where the item is on sale at 60% of the original price, represents the greatest discount as you're paying the smallest percentage of the original price. The original price does not impact which discount is greater since we are comparing percentages, not absolute values, which means the answer does not depend on the original price.

Final answer:

Comparing percent discounts shows that being on sale at 60% of the original price (Option 3) is effectively a 40% discount, which is the greatest discount among the given options.

Explanation:

The question asks about comparing different percent discounts to determine which one is the greatest. To compare the discounts, we consider a hypothetical original price and apply each discount to see which reduced price is the lowest.

Option 1: 25% off means the sale price is 75% of the original price.

Option 2: A reduction of 30% means the sale price is 70% of the original price.

Option 3: On sale at 60% of the original price means the sale price is exactly that, 60% of the original price.

Option 4: The sale that offers the greatest percent discount does not depend on the original price because percentages are relative, not absolute values.

Considering these options, Option 3, being on sale at 60% of the original price, is equivalent to a 40% discount, which offers the greatest percent discount.

Answer: Angle MRN equals 11 degrees (11°)

Step-by-step explanation: Please see the picture attached for details.

The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows

Angle M = 180 - 109 {Angles on a straight line equals 180}

Angle M = 71

Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.

Angle MRN can now be calculated as follows;

∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}

∠ MRN = 180 - 169

∠ MRN = 11

Therefore angle MRN measures 11 degrees.

Answer:16

Step-by-step explanation:Take 98 and subtract it from 109

Answer: D

Step-by-step explanation:

The reason that justifies Step 2 in the proof is Vertical angles are congruent.

Therefore, the correct answer is C. Vertical angles are congruent.

Vertical angles are angles that are opposite each other when two lines intersect.

They are always congruent, regardless of whether the lines are parallel or not.

In the given diagram, angles ∠NQT and ∠SQR are vertical angles. Therefore, they are congruent, and Step 2 of the proof is justified.

The other answer choices are not correct:

A: Same-side interior angles are only congruent when the lines are parallel.

B: Corresponding angles are only congruent when the lines are parallel.

D: Alternate interior angles are only congruent when the lines are parallel.

Therefore, the correct answer is C. Vertical angles are congruent.

For similar question on Vertical angles.

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Answer:

The answer is B.276.

Step-by-step explanation:

Got it right on Edge 2020 :)

Have a great day!!!! :)

Answer:

C. Bulldogs

Step-by-step explanation:

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

Answer:

bulldogs (i think)

Step-by-step explanation:

Answer:

the mule can carry 2 more bags

Step-by-step explanation:

Answer:

<NPM + <NZM = 146°

Step-by-step explanation:

Given:

In triangle STU: M, N and P are the midpoints of the line TU, US and ST respectively.

Line UZ  is the altitude of the triangle STU

<TSU =71°, <TSU = 36°, <TUS = 73°

From the diagram:

N is the midpoint of line SU and M is the mid point of line UT.

∴ Line NM is parallel to line ST

P is the mid point of  line ST and M is the mid point of line UT

∴Line PM is parallel to line SU

N is the mid point of  line SU and P is the mid point of line ST

∴Line NP is parallel to line UT

Δ SPN = Δ STU = 36°

<SPN + <NPM + <MPT (Sum of angles in a triangle = 180°)

<UST = <MPT = 71°

36° + <NPM + 71° = 180°

<NPM + 107° = 180°

<NPM= 180°-107°

<NPM= 73°

In ΔSNZ, line SN = line NZ

∴ side SN = side NZ

< NSZ = <NZS = 71°

<MTZ = <MZT = 36°

<NZS + <NZM <MZT = 180°  (Sum of angles in a triangle = 180°)

71° + <NZM + 36° = 180°

107° + <NZM = 180°

<NZM = 180° - 107°

<NZM = 73°

<NPM + <NZM =73° + 73°

<NPM + <NZM = 146°