Isabella caries a box up a metal ramp into the back truck. The ramp is 3 meters long and the bottom makes a 32 degree angle with the ground. How many meters is the ground distance between the bottom of the ramp and the back of the truck?

Answer:

The skier would have to to go 4 times for the season pass to be cheaper than the day stump.

Step-by-step explanation:

This is because the day pass is $103, including ski rentals. $103 times 4 is 412.    Then I have to find out what the cost is for 4 ski rentals, which is 25 times 4. That means that 4 ski rentals are $100. Then I add that to the $300, and that is $400. So therefore, the season pass is cheaper after 4 times of going skiing.

Answer:

C

Step-by-step explanation:

First, write 4 ½ in improper form.  2 × 4 + 1 = 9. So the fraction is 9/2.

Now divide:

9/2 ÷ 1/3

To divide by a fraction, multiply by the reciprocal:

9/2 × 3/1

27/2

13 1/2

Answer C.

Answer:

1/4 , B

Step-by-step explanation:

This is because it is being kept on multiplying by 1/4 for each pattern.

Answer:

B) 1/4

Step-by-step explanation:

right on edu.

Answer:

Line x is represented by the function f(x)=3x + 5

Step-by-step explanation:

f(x)=3x+5;   y -intercept = 5

When x = 0, y = 3(0) + 5 = 5

When x = - 2, y = 3(-2) + 5 = -1

So the coordinate points (0,5) and (-2, 1)

Look at the second line (x), it has the y-intercept at 5 and matching those 2 coordinate points above.

So answer is the second line (x)

Hello there! It is the second line, line X.

The equation asks which line is represented by the given equation, f(x)=3x+5. Well, since the equation is in y-intercept form, y = mx + b, we know m is the slope, so the slope is 3, and b is the y intercept, so they intercept is 5.

If any of the lines on the graph intersect at (0,5), or through the y axis at 5, they have a y intercept of 5 and could potentially be the correct answer. There is only one lune that does this, line x, making this the answer.

I hope this was helpful and have a great rest of your day!  

The probability that Craig will get a green gumdrop and a piece of butterscotch candy is 4/25.

To find the probability that Craig will get a green gumdrop and a piece of butterscotch candy, we need to calculate the probability of each event happening separately and then multiply those probabilities together.

There are 5 gumdrops in the first jar with 4 being green, so the probability of choosing a green gumdrop is 4/5. In the other jar, there are 5 pieces of candy with 1 being butterscotch, so the probability of choosing a butterscotch candy is 1/5. Multiplying these probabilities together gives us 4/5 × 1/5 = 4/25.

Answer:

Step-by-step explanation:

This distribution is "unimodal" and "skewed right."

Answer:

Yoooo, I think we go to the same school! And the other person is correct

Step-by-step explanation:

Answer:

Option D is correct.

Step-by-step explanation:

EMI formula is :

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Calculation for convertible car:

p = $28700

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{28700*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $475.67

Calculation for sports car:

p = 29200

r = 6/12/100=0.005

n = [tex]6\times12=72[/tex] months

Putting the values in formula we get

[tex]\frac{29200*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

= $483.96

We can see that in both cases the EMI is below $490.

As Chuck can afford a $490-per-month car payment. So, he can afford both cars. (one car out of both)

Therefore, option D is correct. Chuck can afford both the convertible and the sports car​.

Answer:

-7

Step-by-step explanation:

When you divide a polynomial f(x) by (x-c), the remainder r will be f(c).  

hence you will get the remainder by putting the 2 as value of x:  

f(x) = -3x² + 7x - 9

f(2) = -3(2)² +7(2) - 9

      = -3(4) + 14 - 9

      = -12 + 5

remainder = -7

Final answer:

When substituting x with 2 in the polynomial -3x² + 7x - 9, you simply evaluate it directly. The calculation gives -3(2²) + 7(2) - 9, resulting in a remainder of -7.

Explanation:

To find the remainder when a polynomial is divided by a monomial like x - 2, you can use synthetic division. However, you have asked about the division of -3x² + 7x - 9 by 2, which is actually a simple polynomial evaluation, not a division problem. We will substitute x with 2 in the polynomial and find the remainder.

The polynomial is -3x² + 7x - 9. To find the remainder when we substitute x = 2, we evaluate the polynomial:

-3(2)2 + 7(2) - 9 = -3(4) + 14 - 9 = -12 + 14 - 9 = 2 - 9 = -7.

Therefore, the remainder when 2 is substituted into the polynomial -3x² + 7x - 9 is -7.

Answer:

Step-by-step explanation:

Triangles JKN MLN are similar.

There is a right angle at J and M. <JNK and <MNL are vertically opposite. By AA the triangles are similar.

Find JN

JK = 3

LM = 9

JK/LM = JN/(20 - JN)

3/9 = JN/(20 - JN)

1/3 = JN/(20 - JN)

20 - JN = 3JN

20 = 4JN

JN = 5

NM = 20 - 5

NM = 15

Find KN

KN^2 = JN^2 + JK^2

JK = 3

JN = 5

KN = ?

KN^2 = JK^2 + JN^2

KN^2 = 3^2 + 5^2

KN^2 = 34

KN = sqrt(34)

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

Find LN

LN = ?

MN = 15

LM = 9

LN = sqrt(15^2 + 9^2)

LN = sqrt(306)

LN = 3*sqrt(34)

Find LK

LK = sqrt(34) + 3sqrt(34)

LK = 4 sqrt(34)

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y) → (x, - y)

That is the x- coordinate remains the same while sign of the y- coordinate changes.

That is the x- coordinate remains the same while sign of the y- coordinate changes.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by (x,y) the x-value and y-value.

Under a reflection in the x- axis

a point (x, y) → (x, - y)

That is the x- coordinate remains the same while sign of the y- coordinate changes.

The coordinates change The x-coordinates will stay the same.

A set of values that show an exact position. On graphs it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

Example: the point (12,5) is 12 units along, and 5 units up.

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Answer:

Number: 4153

Step-by-step explanation:

4153 - 738 = 3415

as we know the resulting number starts with 3 and is a 4 digit number so we fix 4 in the thousands position of original number. Subsequently we fix 4 in the hundredth position of the number after subtraction from  738

4_ _ 3 - 738 = 34_ _

now we have a 2 empty spaces and 9 number to choose from, start from the lowest .

4 1 0 3 - 738 = 3365 , 4 has to be in the hundredth position

we increment the middle numbers by four and then by 1 until we get our answer

4 1 4 3 - 738 = 3 4 0 5

4 1 5 3 - 738 = 3 4 1 5  --------- Answer

Step-by-step explanation:

2.5 : 2 = 1.25 per dozen

1.25 x 15 = 18.75

You know 15 odd number so first you will need time 2 1/2 by 7 and you know that make 14 dozens cookie so you need 17 1/2 cups of floor and you 2 1/2 is 2 dozens so divide by 2 you get 1 dozens so it 1 1/4

17 1/2 + 1 1/4 = 18 3/4

Total of 18 3/4 of cup of flours to make 15 dozens of cookie

Answer:

2x² - 4x

Step-by-step explanation:

Subtract the known binomial from the sum to obtain the other binomial

5x² - 6x - (3x² - 2x)

= 5x² - 6x - 3x² + 2x

= 2x² - 4x ← the other binomial

Answer:

C) (25, -16), r = 10

Step-by-step explanation:

The equation of a circle: (x - w)² + (y - h)² = r², where (w, h) is the coordinate of the center, and r is the radius of the circle.

w = 25, h = -16, r = √100 = 10

So, the coordinate is (25, -16), and the radius is 10 units.

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 25)² + (y + 16)² = 100 ← is in standard form

with (h, k) = (25, - 16) ← centre and r = [tex]\sqrt{100}[/tex] = 10

Answer:

y = 4 cosx

Step-by-step explanation:

The standard form of cosine is

y = acos(bx)

where amplitude = | a |

with maximum value a and minimum value - a

The only expression in this form is

y = 4cosx

Answer:

y = 4 cosx

Step-by-step explanation:

Answer:

[tex]\frac{27}{4}[/tex]

Step-by-step explanation:

To do this, we must find a common denominator for each of these. This means we must do this

[tex]6*\frac{4}{4} =\frac{24}{4}[/tex]

Next we can add them

[tex]\frac{24}{4} +\frac{3}{4} =\frac{27}{4}[/tex]

Answer:

Step-by-step explanation:

Starting with 6  3/4, we could write 5 + 1 + 3/4, or 5  7/4.

This 5  7/4 is identical to 6  3/4, but the fractional part 7/4 is larger than the fractional part 3/4.

Answer:0.139 moles

Step-by-step explanation:

moles =[tex]\frac{mass}{Mr}[/tex]

NOTE: molecular mass of silver is 107.8682

n= [tex]\frac{15}{107.8682}[/tex]

this will give you the final answer of

n= 0.139 moles OR 0.14 moles

Final answer:

To find the number of moles in 15 grams of silver, divide the mass by the molar mass of silver (107.87 g/mol). The result is approximately 0.139 moles of silver.

Explanation:

To find the number of moles in 15 grams of silver, we can use the molar mass of silver. First, the molar mass of silver (Ag) is 107.87 grams per mole, which is the mass of one mole of silver.

We can calculate the number of moles of silver using the formula:

Number of moles = Mass of the substance (in grams) / Molar mass of the substance (in grams per mole)

So, for silver:

Number of moles = 15 grams / 107.87 grams/mole

When we perform this calculation:

Number of moles = 0.139 moles (rounded to three decimal places)

Therefore, there are approximately 0.139 moles of silver in 15 grams of the metal.

ANSWER

(-1,5)

(7,5)

EXPLANATION

The given set of parametric equations is:

[tex]x = 4t + 3[/tex]

and

[tex]y = 5 {t}^{2} [/tex]

We make t the subject in the first equation to get:

[tex]t = \frac{x - 3}{4} [/tex]

We put this into the second equation to get;

[tex]y =5( \frac{x - 3}{4} )^{2} [/tex]

When x=-1,

[tex]y =5( \frac{ - 1- 3}{4} )^{2} = 5[/tex]

Therefore (-1,5) lies on this line.

When x=7,

[tex]y =5( \frac{7 - 3}{4} )^{2} = 5[/tex]

Therefore (7,5) also lie on this line.

Answer:

not arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Given

[tex]T_{n}[/tex] = 2n² - 1

Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence

[tex]T_{1}[/tex] = 2(1)² - 1 = 2 - 1 = 1

[tex]T_{2}[/tex] = 2(2)² - 1 = 8 - 1 = 7

[tex]T_{3}[/tex] = 2(3)² - 1 = 18 - 1 = 17

[tex]T_{4}[/tex] = 2(4)² - 1 = 32 - 1 = 31

check the difference between consecutive terms

7 - 1 = 6

17 - 7 = 10

31 - 17 = 14

The differences are not common hence not an arithmetic sequence

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{1}{2}ab\sin\theta[/tex]

a, b - adjacent sides

θ - included angle

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

7.

a = 9in, b = 14in, θ = 85°

sin85° ≈ 0.9962

Substitute:

[tex]A_\triangle=\dfrac{1}{2}(9)(14)\sin85^o=\dfrac{1}{2}(126)(0.9962)\approx62.8 in^2[/tex]

8.

a = 12 in, b = 5 in, θ = 135°

sin135° = sin(180° - 45°) = sin45° ≈ 0.7071   used sin(180° - x) = sin(x)

Substitute:

[tex]A_\triangle=\dfrac{1}{2}(12)(5)\sin135^o=\dfrac{1}{2}(60)(0.7071)\approx21.2\ in^2[/tex]

Answer:

The value of x is x

Step-by-step explanation:

Answer: x = 5

Step-by-step explanation:

Answer:

c = 4/3

Step-by-step explanation:

3(c + 8) = 28

Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]

3(c + 8) = 28

3c + 24 = 28

To find the value of c, you must have c alone on one side, so subtract 24 from both sides

3c + 24 = 28

3c = 4

Now, divide by 3 to both sides to get your answer

3c = 4

c = 4/3

Therefore, the answer is 4/3!

I hope this helps! :)

3 (c + 8) = 28

3 x c = 3c

3 x 8 = 24

3c + 24 = 28

3c + 24 - 24 = 28 - 24

3c = 4

3c/3 = 4/3

C = 4/3

Answer:

754 ft^3

Step-by-step explanation:

r=4

h=15

v=pi(r^2)h

754 ft ^3 is the answer to your question

Answer:

AB = 16

Step-by-step explanation:

The perimeter is the sum of all 5 sides of the pentagon

Sum the 5 sides, equate to 69 and solve for x

12 + 3x + 10 + x + 3 + 2x + 2 = 69

6x + 27 = 69 ( subtract 27 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7

AB = 2x + 2 = (2 × 7) + 2 = 14 + 2 = 16

The value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.

To find the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5), where f(x) has an oblique asymptote at y = 3x + k, we need to determine the relationship between the numerator and denominator as x approaches infinity.

To do this, we can perform polynomial division. Divide the numerator (9x^2 + 37x + 41) by the denominator (3x + 5). The result should give us the oblique asymptote equation y = 3x + k.

Performing polynomial division:

3x + 5 ) 9x^2 + 37x + 41
- (9x^2 + 15x)
----------------------
22x + 41

The result of the division is 22x + 41.

Therefore, the oblique asymptote equation y = 3x + k becomes y = 22x + 41.

Comparing this equation to y = 3x + k, we can see that the value of k is 41.

So, the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.

There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.

To solve the inequality [tex]\(3n^2 - 4 \leq 44\)[/tex], follow these steps:

1. Add 4 to both sides of the inequality:

  [tex]\[ 3n^2 \leq 48 \][/tex]

2. Divide both sides by 3:

  [tex]\[ n^2 \leq 16 \][/tex]

3. Take the square root of both sides. Remember to consider both the positive and negative square roots since [tex]\(n^2\)[/tex] can be positive or negative:

  [tex]\[ |n| \leq 4 \][/tex]

This inequality implies that [tex]\(n\)[/tex] must be within the interval [tex]\([-4, 4]\)[/tex] inclusive.

Now, count the integers within this interval: [tex]\(-4, -3, -2, -1, 0, 1, 2, 3, 4\)[/tex]. There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.

The probable question may be:

"How many integers [tex]$n$[/tex] satisfy the inequality [tex]$3n^2 - 4 \le 44$[/tex]?"

Answer: Hm i'm pretty sure that is hunderdths...

Step-by-step explanation:

The place value of 5 in 6.857 is (1/100)th

A digit's numerical value as a result of its position in a number.

1st decimal place - (1/10)th

2nd decimal place - (1/100)th

3rd decimal place - (1/1000)th

In 6.857, 5 is lying at the second decimal position, hence has the place value of (1/100)th .

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It will take the turkey 2 hours to cook

Answer:

if a 12 pound turkey takes 4 hours a 14 pound turkey would take around 6 hours

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B.There is a weak negative association.

Step-by-step explanation: