A jar containing 17 coins (pennies, dimes and quarters) has a total value of $2.06. If you remove 5 pennies, 5 dimes and 5 quarters from the jar, which coins will remain in the jar?

Answer:

Geometric Sequence

Step-by-step explanation:

Since we are multiplying each successive term by common ratio r of -2, we have our sequence:

[tex]a_n = 2.4(2)^{n-1}[/tex]

Answer:

They're multiplied by -2.

Step-by-step explanation:

If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.

In order to find out how much each value was multiplied, we need to divide.

-4.8 / 2.4 = -48 / 24 = -2

9.6 / -4.8 = 96 / -48 = -2

-19.2 / 9.6 = -192 / 96 = -2

All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.

Hope this helps!

Answer:

B. (0,0)

Step-by-step explanation:

Answer:

B. (0, 0).

Step-by-step explanation:

The parent function is y = x^2.

The vertex is at the minimum value of this, that is when x = 0 and y = 0.

Answer:

×-10×+21=0

FACTORIZATION of splitting the middle term

Answer:

x = -4, y = 1/3

Step-by-step explanation:

=> x = 3y-5        (Equation 1)

=> 2x+12y = -4  (Equation 2)

Putting (1) in (2)

=> 2(3y-5)+12y = -4

=> 6y-10+12y = -4

=> 18y = -4+10

=> 18y = 6

Dividing both sides by 18

=> y = 6/18

=> y = 1/3

Putting y = 1/3 in Equation 1

=> x = 3(1/3)-5

=> x = 1-5

=> x = -4

Answer:

Hey there!

First, do you mean simplify? I can't solve an equation if there isn't a equal sign.  If you want me to solve this, check if you have properly typed your question- Thanks!

Here is how you should simplify:

Given expression.

-3x-7(x+4)

Distributive property.

-3x-7x-28

Combine Like Terms

-10x-28

Your final answer should be -10x-28

Hope this helps :)

━━━━━━━☆☆━━━━━━━

▹ Answer

-10x - 28

▹ Step-by-Step Explanation

-3x - 7(x + 4)

-3x - 7x - 28

-10x - 28

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

5(6x+3y) is equalivent to 30x+15y

Answer:

30x+15y

Step-by-step explanation:

distributive property

Answer:

2.6+7.4 or 2.4+7.6

Step-by-step explanation:

Both of the above equals to 10!

Answer:

C

Step-by-step explanation:

in order of containment it goes

Quadrilaterals

Parallelograms and trapezoids

kites rhombuses and rectangles

squares

Answer:

Hey there!

All parallelograms are four sided shapes, also called quadrilaterals.

Hope this helps :)

Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people

Step-by-step explanation:

Answer:

licensed drivers who own cell phones

Step-by-step explanation:

licensed drivers who own cell phones

Answer:

11/50b

Step-by-step explanation:

22% of b = 22/100×b

= 11/50b

Answer:

I hope it will help you :)

Answer:

True

Step-by-step explanation:

The absolute value of a number is its distance from zero on the number line. The distance of 9 from 0 is 9.

Answer:

f(2)= 0 and g(-2) = 0 is the answer

Step-by-step explanation:

if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y

f(x)=(2) and once again y=0

so the third option is the answer if im seeing this correctly.

f(2)=0 and g(-2)=0

Answer:

10π

Step-by-step explanation:

Circumference formula is : 2πr

So if you put r into this formula, it will be: 2π5

Now, you can multiply 2 by 5 to get 10, leaving you with 10π

Answer:

10 π

Step-by-step explanation:

The formula for circumference is C=2 πr, where r is radius, so if we do C=2 π(5), we get C=10 π

Answer:

area: 27

Step-by-step explanation:

Sides: a = 10.296   b = 14.213   c = 6

The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

Answer:

The volume of the pyramid is 80 cubic centimeters.

Step-by-step explanation:

As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.

Answer:

80 cubic centimetres

Step-by-step explanation:

The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.

Here, we know that the prism's volume is 240, so lwh = 240.

The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.

We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:

V = (1/3) * lwh

V = (1/3) * 240 = 80

The answer is thus 80 cubic centimetres.

~ an aesthetics lover

Answer:

c

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

52.02 ft

Step-by-step explanation:

We can use equation tan θ = opposite/adjacent   to solve for the opposite side x.

tan40° = x / 62

62tan40° = x

x = 52.02 ft

The solution is Option A.

The height of the tree is given by x = 52.02 ft

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Let the height of the triangle ABC be = x

Now , the base of the triangle ABC is BC = 62 feet

The angle of elevation is θ = 40°

Now , the height of the tree is the height of the triangle ABC and is given by the trigonometric relation ,

tan θ = opposite / adjacent

Substituting the values in the equation , we get

tan θ = x / 62

tan 40° = x / 62

Multiply by 62 on both sides of the equation , we get

x = tan 40° × 62

x = 0.83909963117 × 62

The value of x = 52.024 feet

Therefore , the value of x is 52.02 feet

Hence , The height of the tree is given by x = 52.02 ft

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ5

Answer:

(7, 5)

Step-by-step explanation:

You can solve by substitution

3(2y - 3) - 7y = -14

6y - 9 - 7y = -14

-y - 9 = -14

-y = -5

y = 5

x = 2(5) - 3

x = 7

Answer:

(7, 5).

Step-by-step explanation:

x = 2y - 3

2y = x + 3

y = x/2 + 3/2

3x - 7y = -14

-7y = -3x - 14

y = 3/7x + 2

3/7x + 2 = 1/2x + 3/2

6/14x - 7/14x = 1.5 - 2

-1/14x = -1/2

1/14x = 1/2

x = 7

7 = 2y - 3

2y = 10

y = 5

3 * 7 - 7 * 5 = 21 - 35 = -14

Since this works, your answer will be (7, 5).

Hope this helps!

Answer:

5,615 km.

Step-by-step explanation:

The first flight, she traveled for 3 hours at a speed of 625 km/h.

[tex]\frac{625}{1} =\frac{x}{3}[/tex]

x = 625 * 3

x = 1,875.

The first flight, she traveled 1,875 km.

The second flight, she traveled for 4.25 hours at a speed of 880 km/h.

[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]

x = 880 * 4.25

x = 3,740.

The second flight, she traveled 3,740 km.

So, in total, she traveled 1875 + 3740 = 5,615 kilometres.

Hope this helps!

Answer:

its x in the first equation! (a)

Step-by-step explanation:

I just took the test. I used the other answer but it was wrong :( BUT  you can trust me :)    

Answer:

A: The easiest to solve for is x in the first equation.

Step-by-step explanation:

The X in the first equation is the only one without a coefficient.

Answer:

cD /100

Step-by-step explanation:

Change the percent to a fraction

c% = c/100

Multiply by the sale

D * c/100

cD /100

Answer:

$2350.69

Step-by-step explanation:

Well first we need to find the amount of square yards and to do that we find the area.

So 15 3/4 * 3 is 47.25 yards^2.

And concrete is 49.75 per square yard so we do 49.75 * 47.25 = 2350.6875.

So it will cost about $2350.69 rounded to the nearest hundredth.

parallel line so gradient stays the same at 25x

y=25x+c

substitute in the point

-7= 25(2) +c

-7 = 50 + c

(-7)-50= -57

y=25x-57

hope this helps!

The equation of the line in slope intercept form is y = 25x + 177.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation is y = 25x−12 -------- (1)

The point is (−7,2)

The general form of equation of line in slope intercept form is

[tex]y=mx+c[/tex]

On comparing this equation with equation, we get

slope, m = 25

The given line is parallel to the equation of line, so slope is same.

The line passes through the point (x1, y1) is (−7,2).

Thus the equation of line in slope intercept form is

[tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-2=25(x-(-7))[/tex]

⇒ [tex]y-2=25(x+7)[/tex]

⇒ [tex]y-2=25x+175[/tex]

⇒ [tex]y=25x+175+2[/tex]

⇒ [tex]y=25x+177[/tex]

Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.

Learn more about equation of line here

https://brainly.com/question/19546232

#SPJ3

Answer:

  320°

Step-by-step explanation:

Part 1

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

Part 2

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

Answer:

( 1 ) [tex]f^{-1}(f(576)) = 576[/tex],

( 2 ) [tex]f^{-1}(-7)+f(-7) = 13[/tex]

Step-by-step explanation:

Taking the function and it's inverse, it should be the following property -

[tex]f^{-1}(f(x))= x[/tex] - this therefore makes the functionality " [tex]f^{-1}(f(576))= x[/tex] " equivalent to 576 itself.

For this second part here let's consider the portion " [tex]f(-7)[/tex] " firstly. As you can see from the table, - 7 should represent the x - value, hence [tex]f(-7) = 7[/tex]. Now for this second bit here, we have to take the inverse - making the what should have been the x - value, now the f( x ) value. Therefore, [tex]f^{-1}(-7) = 6[/tex].

This would make [tex]f^{-1}(-7)+f(-7)[/tex] = [tex]7+6[/tex] = 13.

A) Relative frequency is number of times an event happened over total number of events:

Answer is 21/50 = 0.42

B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50

C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.