a line that is parallel to y = 4 and passes through (-3,1)

Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.

Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is

A plane slicing the cone diagonally without intersecting the base

The correct option, therefore, is OPTION B

It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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Looking at the graph

we have that

Decreasing intervals are

(-infinite, -2.5) and (1.75, infinite)

so

Verify each option

A ----> is true

B ---> is not true

C ---> is true

D ---> is not true

Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?​

we know that

2%=2/100=0.02

so

To find out the amount of interest, multiply the total amount by the percentage in decimal form

(67,696)*0.02

Given a rectangular peice of paper

Length = 34 cm

Width = 16 cm

So, the area of the rectangle = 34 x 16 = 544 cm²

Two semicircles cut out of it

The diameter of the circle = d = 16 cm

So, the radius of the circle = r = d/2 = 8 cm

The area of the two semicircles = area of the complete circle

so, the area of the circle = πr² = 3.14 x 8² = 200.96 cm²

So, the area of the remaining paper = area of the rectangle - area of the circle

= 544 - 200.96 = 343.04 cm²

So, the answer will be Area = 343.04 cm²

Based on the highest common factor, the number of kids that can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers is 5.

The highest common factor (HCF) is the number that can divide between 30 and 36 without a remainder.

                          Pumpkins      Materials

Units                       30                 36

HCF                          6                   6

Average used          5                  6

Thus, dividing 30 and 36 by their HCF of 6, respectively, shows that 5 kids can decorate the 30 pumpkins using 6 materials each to make the scarecrows.

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The number of kids who can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers would be; 5.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The highest common factor (HCF) is defined as the number which can divide between 30 and 36 without a remainder.

Given that they have 30 to decorate and 36 sets of material to make mini scarecrows.

Their HCF is 6. The averages used are 5  and 6 respectively.

Hence, their HCF of 6, shows that 5 kids can decorate the 30 pumpkins by using 6 materials each to make the scarecrows.

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The Sarah's path and Marcus path will intersect at the point  (5,4) .

In the question ,

it is given that

the park is modeled by the equation y = x − 1  .

On comparing with the slope intercept form ,

we get

the slope as 1 .

Since both the paths are perpendicular ,

the slope for Marcus path is -1 .

hence the equation of line with slope -1 and passing through the point (0,9) is y = (-1)x + c

9 = (-1)0 + c

9 = c

so equation is y = (-1)x + 9

So to find the point of intersection , we solve both the equations .

Substituting y = x − 1 in y = (-1)x + 9 ,

we get

x − 1 = (-1)x + 9

x - 1 = -x + 9

x + x = 9 + 1

2x = 10

x = 5

So, y = 5 - 1 = 4

the point of intersection is (5,4) .

Therefore , The Sarah's path and Marcus path will intersect at the point  (5,4) .

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The amount of time it would take Element X to decay to a mass of 230 grams is 9.5 minutes.

Mathematically, the mass of a radioactive element that is remaining after time (t-hours) is given by this exponential function:

A(t) = A₀·e^{t/τ}

Where:

Next, we would determine the time constant by using this mathematical expression:

Time constant, τ = t/ln2

Time constant, τ = 5/0.6932

Time constant, τ = 7.2130 minutes.

Now, we can determine the amount of time to decay by making half-life (t) the subject of formula as follows:

A(t) = A₀·e^{t/τ}

Half-life, t = -τ·ln(A(t)/A₀)

Substituting the parameters into the formula, we have;

Half-life, t = -7.2130·ln(230/860)

Half-life, t = -7.2130 × ln(0.2674)

Half-life, t = -7.2130 × -1.3190

Half-life, t = 9.51 ≈ 9.5 minutes.

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Step-by-step explanation:

x + y = 18 We have at least 4 quarters

0.25x + 0.1y = 3.6

If we graph both equations, the point of intersection will give us our answer.

In this case, the lines intersect at the point (12, 6) which means I have 12 quarters and 6 dimes. This solution is correct as it also satisfies the condition of having at least 4 quarters.

(got this from another website, maybe it's wrong..

Wishing you the best!! )

hello

to solve this question, we just have to find the expression that is equal to 4b

option A

option a is incorrect

let's look at option B

option B is correct

and finally option C

option C is correct

from the calculations above, option B and C are the right answers

Explanation

We are asked to determine if the question is a continuous or discrete data set

The discrete data set is a data set that can be counted

Continuous data set are data that can be measured

For the given question, the answer will be option A

The height of the flagpole is 27 feet.

Given,

If two triangles are similar, sides of these triangles will be proportional.

Height of the flagpole  = h feet

Shadow castes by the flagpole  = 72 feet

Height of the person  = 6 feet

Shadow casted by the person = 16 feet

By using the property of similar triangles,

Hence, h/6 = 72/16

h = (6×72)/ 16

h = 27 feet

Therefore, The height of the flagpole is 27 feet.

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         The journey through the difficult process of learning to read is described by the Reading Scale. It provides teachers with different perspectives on and analytical tools for their observations of children's growing abilities, knowledge, and comprehension of the reading process.

          Develop Areas Dinosaur Special Using Scale Read the issue below and attempt to resolve it.

            Wonderful exhibit hall A natural history museum's floor plan is displayed.

          3/4 in The The museum is 20 yards to one inch in scale with the blueprint.  

          Space 3/4 in TRY IT Math Resource Kit paper with two sets of numbers, a grid, ribbon, and yarn ADVERTISE IT Why did you select that method of location, for example?

Share: I used the approach I did because.

3/4 : 20 yds

3/4 ×20/1 ÷60/4 = 15 yds

1 (3/4) = 7/4

7/4 × 20/1 = 140/4 = 35 yds.

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Answer: I think it’s C

Using the stated transformation, the graph of g(2x) is given at the end of the answer.

An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:

g(x) = f(ax).

The definition of stretch or compression depends on the value of the constant a, as follows:

In this problem, the rule is:

f(x) = g(2x).

Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:

That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.

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Looking at the triangle, we missing a side. This side represents the leg.

Now, we can find this missing side using the Pythagorean Theorem because the half represents a right triangle.

- The hypotenuse is the largest side, then hypotenuse = 5ft.

Using

Using approximation, the two are the same and she contains enough flour.

The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.

Given that Karina buys a small bag of flour that has 2 2/3 cups of flour. The recipe calls for 2 5/7 cups of flour.

1) 2 2/3  cups of flour.

= ((2 × 3)+2)/3

= 2.666

Therefore, she get 2.666

2)  2 5/7 cups of flour.

= ((2 × 7) + 5)/7

= 2.714

Therefore, she get 2.714

Using approximation, the two are the same and she has enough flour.

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Answer:

11

Step-by-step explanation:

How to find the arithmetic mean:

Add all numbers together, and divide by the amount of numbers.

Ans: 15 + 7 = 22

22 ÷ by amount of numbers =

22 ÷ 2 =

11

Ans = 11

The coordinates of (6, -4) after a reflection in the line x = 2 are:

(-4, -4)

If we have a point (x, y) and we do a reflection in the line x = a, the new coordinates of the point will be:

(a - x, y)

In this case, we have (6, -4) and the line of reflection is x = 2, then the coordinates after the reflection are:

(2 - 6, -4) = (-4, -4)

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The rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.

So, the rate of change in column 'x':

The rate of change per unit is 18.

Now, 24 ≤ x ≤ 96.

Between 24 and 96, there are three values given in the column which are:

So, x can be 42, 60, and 78.

Therefore, the rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.

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Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

Two yellow marbles are added to the bag to make the probability of choosing a yellow marble 1/3 .

There is a bag containing five green marbles, three red marbles, and four blue marbles and four yellow marbles.

The probability that a given event will happen is expressed as a number between 0 and 1 where 0 means there is no chance of the event occurring and 1 means that the outcome is certain.

There are a total of 16 marbles in the bag (5 + 3+ 4+4 = 16). This means that the probability of drawing a marble of a particular color is the number of marbles of that color divided by the total number of marbles in the bag.

Let ‘x’ number of additional yellow marbles be added to the bag.

Then, the required probability will be

(4 + x )/ (16+x ) = 1/3

=> 3(4+x) =16 +x

=> 12+3x = 16+x

=> 2x =4

=> x= 2

Hence, the required number of marbles is 2.

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Answer:

Step-by-step explanation:

Area of rectangle formula:

Find the width by substituting the given values:

Answer:

Between -4 and 0

Step-by-step explanation:

Hey! I saw your most recent and I'm assuming it is this question we're talking about it so let's help you with that!

Let's start by looking at what each of them mean, the first one means that 4 is lower than a but a is lower than 5 (Inequality 1) The second one means 5 is lower than b but b is lower than 8 (Inequality 2). Now, in order to find out [tex]a-b[/tex], we need to find the largest and smallest value of [tex]a-b[/tex]. The reason why we do this is because we want to look for the range of what [tex]a-b[/tex] can give us and in finding the largest and smallest value, if we were to evaluate both inequality 1 and 2 using [tex]a-b[/tex], we know that it can't be beyond the largest value or smaller than the lowest value.

In order to figure out the largest possible value of [tex]a-b[/tex], we need to take the maximum x value of inequality 1 and subtract it by the minimum y value of inequality 2, so we get:

[tex]5-5=0[/tex]

In order to figure out the smallest possible value of [tex]a-b[/tex], we need to take the minimum x value of inequality 1 and subtract it by the maximum y value of inequality 2, so we get:

[tex]4-8=-4[/tex]

So, in this case! The answer is b) between -4 and 0

Answer:

B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

There are 3 terms. The terms are separated by + signs. They can also be separated by - signs.

The terms are 7a, 1, 8b.

If there was a minus sign in front of the term you need to keep it with the term because it is a negative term.

Answer:

There are a total of 3 terms

Step-by-step explanation:

A term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or - sign in an overall expression. We are basically counting how many individual mathematical expressions

7a is a term

1 is a term, and it's a constant

8b is a term

Answer:

60

Step-by-step explanation:

10 x 6 < w

60 < w

that answers it

Answer: Multiply to remove the fraction, then set equal to

0

and solve.

Inequality Form:

w

>

60

Interval Notation:

(

60

,

∞

)

The value of the travel trailer after 5 years is $8306  .

in the question ,

it is given that

the price of the travel trailer(a)  = $35000

rate of decrease(r) = 0.25

time (x) = 5 years

The exponential expression for the decrease in price after x years is given by the formula

price = a(1-r)ˣ

where, a is the initial amount ,

r is the decay rate ,

x is the time period .

Substituting the values from above in the formula ,

we get

price = 35000(1-0.25)⁵

= 35000(0.75)⁵

= 8305.664

≈8306

Therefore , the value of the travel trailer after 5 years is $8306  .

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Answer:373248

Step-by-step explanation:

Answer:

Step-by-step explanation:

12*6=72

72^3=373248