Jamie has 5 jars to fill with beads for a carnival game. She has 7.5 cups of multi-colc
beads. Jamie wants to put an equal amount of beads in each jar. How many cups o
can she place into each jar?
Part A Use pictures to solve the problem.
Answer.
cup

Answer: Circumcenter (choice C)

Explanation:

The circumcenter is useful to form a circle that passes through all three points of a triangle. It is the smallest circle possible that doesn't go inside the triangle.

The incenter is formed by intersecting at least two angle bisectors, which means we can rule out choice A. The centroid is the result of intersecting two or more medians, which allows us to cross off choice B. Choice D is out because the orthocenter is the intersection of the altitudes.

Answer:

C. Circumcenter

Step-by-step explanation:

Hope this helps.

Answer:

4762

Step-by-step explanation:

0.21g x 10,000= 2100

0.21 x 5,000= 1050

0.21 x 4,000= 840

0.21 x 4700 =  987

0.21 x 4760 = 999.6

0.21 x 4762= 1000.02

( how much it's made from x the quantity = the grams or kg)

Answer:

|x – 57| = 3

Step-by-step explanation:

let x be the farthest block to which Jamaal is allowed to walk.

the statement “Jamaal is allowed to walk

no farther than three blocks in either direction from his house.”

means

the distance between the 57th block and the farthest block = 3

means

|x – 57| = 3

Answer:

|x – 57| = 3

Step-by-step explanation:

let x be the farthest block to which Jamaal is allowed to walk.

the statement “Jamaal is allowed to walk

no farther than three blocks in either direction from his house.”

means

the distance between the 57th block and the farthest block = 3

means

|x – 57| = 3

Answer:

  a) 182.90 m

  b) 203.85 m

Step-by-step explanation:

The relations between trig functions and measures in a right triangle are summarized in the mnemonic SOH CAH TOA. Here, we are given an angle and the side opposite, and we are asked to find the adjacent side and the hypotenuse.

__

The foot of the cliff to the boat is the adjacent side of the angle in our model. So, we can use the relation ...

  Tan = Opposite/Adjacent

Solving for the adjacent side, we have ...

  BF = (90 m)/tan(26.2°) ≈ 182.90 m

The boat is about 182.90 meters from the foot of the cliff.

__

The top of the cliff to the boat is the hypotenuse of the triangle we're using to model the situation. This means the applicable relation is ...

  Sin = Opposite/Hypotenuse

  BC = (90 m)/sin(26.2°) ≈ 203.85 m

The boat is about 203.85 meters from the top of the cliff.

One good example of a situation that can be modeled by this Polynomial Graph is the price-time relationship between currency pairs being traded on the Foreign Exchange Market.

A polynomial parameter graph is essentially a smooth continuous curve.

Although the forex graph attached has sharp undulations, when regressed and viewed via Polynomial Regression Indicators, they exhibit strong polynomial qualities that meet the requirements of the definition above.

It is to be noted that the Y-Axis is indicative of the price of the currency pairs (which could be any currency against another) and the X-Axis expresses time. See the attached graphs for a better picture.

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Answer:

Length = 16 yds

Width = 13 yds

Step-by-step explanation:

P = 2w + 2l

l = w + 3

58 = (2w + 2(w + 3))

58 = 4w + 6

52 = 4w

w = 13

L = w + 3

= 13 + 3

= 16

The length and width of the rectangle are 16,13yd.

The Length and Width of the rectangle can be found as:

The length of the rectangle is 3yds longer than the width which means length = w+3

and the perimeter is given by 58yd

Let W be the width and L be the length

We know that the perimeter of a rectangle is 2(L+w)

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle

2(w+w+3)=58

2(2w+3)=58

2w=29-3

w=13

then the length of the rectangle will be w+3

                                                              13+3 = 16

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Ingrid would have to pay 64 per month more than clem.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

fico        interest monthly      score rate

720-850          5.59%             $860

700-719           5.71%              $872

675-699          6.25%             $924

620-674          7.40%              $1039

560-619           8.53%              $1157

500-559          9.29%               $1238

Clem's score is 733 which is 924 on the chart.

Ingrid's score is 688 which allows her to pay 860 per month.

924 - 860 =  64

Hence,

Ingrid would have to pay 64 per month more than clem.

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Using a system of equations, it is found that the price of a student ticket is of $3.49.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Considering the revenues and the number of tickets sold, the equations are given as follows:

From the second equation:

90y = 935 - 100x

y = (935 - 100x)/90

y = 10.39 - 1.11x

Replacing in the first equation:

180x + 110y = 1345.

180x + 110(10.39 - 1.11x) = 1345

57.9x = 202.1.

x = 202.1/57.9

x = 3.49.

The price of a student ticket is of $3.49.

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The average rate of change in h(t) is 6.

It is a measure of how much the function changed per unit, on average, over that interval.

h(t) = 3 + 70t - 16t²

Average rate of change

At t = 1 second

h(1) = 3 + 70(1) - 16(1)^2

h(1) = 57

At t = 3 second

h(3) = 3 + 70(3) - 16(3)^2

h(3) = 69

Average rate of change = Δh / Δt

=[h(3) - h(1)] / (3 - 1)

= (69 - 57) / 2

= 12 / 2

= 6.

Hence, the rate of change is 6.

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Answer:

1/2x^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is v = b x w x h (volume is base times width times height).

Just plug the numbers (or in this case variables) into the formula:

v = x times x times 1/2x

v = 1/2 times x^3

v = 1/2x^3

Volume

Option A

26 potters will be required to make 169 pots in 4 days.

Given: 11 potters can make 143 pots in 8 days.

Step 1:

1 potter makes  143 pots in 8 × 11 days.

1 potter can make 1 pot in

(8 × 11)/143 days.

Step 2:

Let the number of potters required be x, then

x potters can make 1 pot in (8 × 11)/( 143 × x) days

x potters can make 169 pots in (8 × 11 × 169)/(143 × x ) days

Step 3:

The number of days given is 4. Hence equating the above equation to 4.

(8 × 11 × 169)/(143 × x ) = 4

Step 4:

Solve for x

14872/(143x) = 4

572x = 14872

x = 14872/572

x = 26

Thus, 26 potters will be required to make 169 pots in 4 days.

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Domain is the set of values for which the given function is defined. The correct option is A.

Domain is the set of values for which the given function is defined, therefore the are values that the function can take.

Range is the set of all values which the given function can produce an output.

Domain of a function is the range of the inputs which the function can take, therefore, the domain of the function shown in the mapping is,

x|x= -5, -3, 1, 2, 6}

Hence, the correct option is A.

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The average rate of change on the interval (5, 6) is 9. So the correct option is D.

Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).

This is just:

[tex]r = \frac{f(6) - f(5)}{6 - 5}[/tex]

[tex]f(x) = a*x^2 + b*x + c[/tex]

I we look at the table we see that:

[tex]f(1) = 1 = a + b + c[/tex]

[tex]f(2) =2 = 4a + 2b + c[/tex]

[tex]f(3) = 5 = 9a + 3b + c[/tex]

This is a system of equations.

If we subtract the second and first functions, we get:

[tex]2 - 1 = (4a + 2b +c) - (a + b + c)\\1 = 3a + b = a + b + c[/tex]

From that we take two relations:

[tex]1 - 3a = b\\2a = c[/tex]

Now we can replace these two in the last equations so we get:

[tex]5 = 9a + 3b + c\\\\5 = 9a + 3*(1 - 3a) + 2a\\\\5 = 9a + 3 - 9a + 2a\\\\5 = 3 + 2a\\\\5 - 3 = 2a\\\\2 = 2a\\\\a = 1[/tex]

Now that we know the value of a:

[tex]c = 2a = 2*1 = 2\\\\b = 1 - 3a = 1 - 3 = -2[/tex]

The quadratic equation is:

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

Evaluating this in x = 6 we get:

[tex]f(6) = 6^2 - 2*6 + 2 = 26[/tex]

And from the table we know that f(5) = 17, then the average rate of change is:

[tex]r = \frac{f(6) - f(5)}{6 - 5} = \frac{26-17}{1} = 9[/tex]

The correct option is D.

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So there is a possibility I read it wrong, or you typed it wrong. but from what I see, there are NO right triangles.

Step-by-step explanation:

a right triangle has a 90 degree angle. none of these have one.

The number of groups is 3, the number of participants is 36, and the f ratio is 5.5.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

f(2, 33) = 5.5, p < 0.01

From the above details, we can find the number of groups:

5) Number of groups = df for groups + 1

Number of groups  = 2+ 1 = 3

Option (c) is correct.

6) Number of participants =2 + 33 + 1 = 36

Option (a) is correct.

7) f ratio = 5.5

Option (a) is correct.

8) True; as the p-value is less than the 0.01 level.

Thus, the number of groups is 3, the number of participants is 36, and the f ratio is 5.5.

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The correct answer is option B which is y > 3x + 2.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given statement says that On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2)

The plot of the inequality is given in the graph attached with the answer the inequality will be y > 3x +2 which passes through the points (-3,-7 ) and ( 0, 2 ).

Therefore the correct answer is option B which is y > 3x + 2.

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The total hours joe spent watching TV each day for two weeks is 12 1/2 hours

Total hours spent watching TV for two weeks = Number of hours × days

= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)

= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2

= 8 + (1+2+9+6) / 4

= 8 + 18/4

= 8 + 4 2/4

= 8 + 4 1/2

= 12 1/2 hours

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Answer:

26

Step-by-step explanation:

Define the variables:

Given information:

Create an inequality from the defined variables and the given information:

⇒ 2(2n + 2n + 2) > 94

Solve the inequality:

⇒ 2(4n + 2) > 94

⇒ 8n + 4 > 94

⇒ 8n > 90

⇒ n > 11.25

Therefore:

As 2n and 2n+2 are even numbers:

Therefore, the smallest possible value of the larger number is 26.

Answer:

(2,-3)

Step-by-step explanation:

Thats where the parabola is the lowest at

Answer:

-x + 4

Step-by-step explanation:

(4x+5)+(−5x−1)

4x+5−5x−1  [Remove the parentheses]

-x + 4           [Combine Like Terms]

Answer:

-x+4

Step-by-step explanation:

Given:

(4x+5)+(−5x−1)

Solution:

To re-write this in it's simplest terms:

Combine like terms:

Hence the simplest form is -x+4.

Done.

Answer:

The answer is C

Step-by-step explanation:

Just got it.

Part (i)

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

Part (ii)

6) AB = DE (corresponding parts of congruent triangles are equal)

1 zero pair of 25 was added to bring given function into vertex form.

A zero Pair is the set of two numbers which when added together gives 0.

The function given is

f(x) = x² -10x -4

To convert it into the vertex form

y = a(x-h)²  +k

f(x) = x² -10x +25 -25 -4

f(x) = x² -10x +5² -25-4

f(x) = (x-5)² -29

Therefore this is the given function's vertex form and

1 zero pair of 25 was added to bring it into that.

Therefore Option D is the answer.

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Answer:

V ≈ 500 cm³

Step-by-step explanation:

Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)

Substitute the given values into the formula:

⇒ V = ⁴⁄₃πr³

⇒ V ≈ (⁴⁄₃)(3)(5)³

⇒ V ≈ (⁴⁄₃)(3)(125)

⇒ V ≈ (⁴⁄₃)(375)

⇒ V ≈ 500 cm³

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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]

Find:  [tex]\textsf{Determine the volume}[/tex]

Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.

Determine the radius

Plug in the values

Simplify the expression

After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.

Answer:

It's the first option: -5, 1 and 4

The Saturday will be the day on 18th February 2040 if  18th February 2030 falls on Monday

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

18th February 2030 falls on Monday

To find what will be the day on 18th February 2040

Calculate the expression:

= Given date + Month code + (difference between years) + Numbe of leap year

Leap year = difference between years/4

= (2040-2030)/4

= 10/4 = 2.5 ≈2

= 18 + 3 + (2040-2030) + 2

= 33

Divide 33 by 7 the remainder will be 5

Day code = given day code + remainder

= 1 + 5

= 6 (saturday from the table attahced)

Thus, Saturday will be the day on 18th February 2040 if  18th February 2030 falls on Monday.

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The least number of pens each boy can have brought is 60

We have:

Vincent = 6 packs

Aidan = 20 boxes

Factorize 6 and 20

6 = 1 * 2 * 3

20 = 1 * 2 * 2 * 5

Multiply all factors

LCM = 1 * 2 * 2 * 3 * 5

Evaluate the product

LCM = 60

Hence, the least number of pens each boy can have brought is 60

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