Find the value of x:

Answer:

8

Step-by-step explanation:

Since one-sixth was multiplyed be 1 1/3, we just have to find the opposite, six-ones. We multiply that by 1 1/3 and we get 8!

There are 83210 subscribers after 5 days

The given parameters are:

The number of subscribers each day is calculated as:

f(n) = a * (1-r)^n

This gives

f(n) = 93000 * (1 - 2.2%)^n

Evaluate the difference

f(n) = 93000 * 0.978^n

At 5 days, we have:

f(5) = 93000 * 0.978^5

Evaluate

f(5) = 83210

Hence, there are 83210 subscribers after 5 days

Read more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

y –12 = –3(x – 1)

We can write the above equation as follows:

y = 12 - 3(x - 1)

y = 12 - 3x + 3

y = -3x + 15

or

f(x) = -3x + 15

Plug x = 0

f(0) = 15

The tub started with 15 gallons of water.

Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

2.6

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

We can just count from -3 to -12 and get 9 as the distance

Triangle ABC is similar to triangle QPR due to the transformations reflection, the triangles are similar by side-angle-side similarity theorem.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

- Rotation means that it rotates or turns the pre-image around an axis with no change in size or shape

- Reflection means that it flips the pre-image and produces the mirror-image with no change in size or shape or orientation

- Translation means that it slides or moves the pre-image with no change in size or shape but has changes in only the direction of the shape

- Dilation means that it stretches or shrinks the pre-image.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. It should be noted that, corresponding angles are congruent.

Thus, we conclude that triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.

Read more about Similar Triangles at; https://brainly.com/question/14285697

#SPJ1

Answer: reflected and then translated onto   only involve rigid motions    

congruent

Step-by-step explanation:

Triangle  abc

is

reflected and then translated onto

triangle qpr

. Since the transformations

only involve rigid motions

, the triangles are

congruent

.

how do u not know this

Step-by-step explanation:

my guy

Answer:

Step-by-step explanation:

A more complicated expression such as 64x3+27y3 64 x 3 + 27 y 3 is also a sum of cubes since 64x3=(4x)3 64 x 3 = ( 4 x ) 3 and 27y3=(3y)3 27 y 3 = ( 3 y ) 3 . Please note, that expressions such as 2x3 2 x 3 are not perfect cubes.

Answer:

A squared plus B squared equal C squared

Step-by-step explanation:

The three girls baked 88 cupcakes altogether.

Cupcakes Baked by Each

Number of cupcakes baked by Tina, T = 40

It is given that Daisy baked 4/5 as many cupcakes as Tina.

Therefore, number of cupcakes baked by Daisy, D = (4T/5) (Applying fractions)

⇒ D = (4/5)×40

⇒ D = 4 × 8

⇒ D = 32

Also, it is given that Miko baked 1/2 as many cupcakes as Daisy.

Thus, number of cupcakes baked by Miko, M = D/2 (Applying fractions)

⇒  M = 32/2

⇒ M = 16

Calculating Total Number of Cupcakes Baked

Cupcakes baked by the three girls altogether = T + D + M

= 40 + 32 + 16

= 88

Hence, the girls together baked 88 cupcakes.

Learn more on fractions here:

https://brainly.com/question/10354322

#SPJ4

Answer:

Step-by-step explanation:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane’s speed is 1/3 miles / 10 min.

Jack’s speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

Answer:

67

Step-by-step explanation:

sorry if wrong

Answer:

can you explain more i dont get what u mean if you mean 2,000 a year and you get 2.50% or 5.00% and you get it for 50 years your answer for each would be 50 and 100

The total cash that's due at signing will be $5365.

It should be noted that security deposit on acquisition are paid at the begining.

The total cash that's due at signing:

= Down payment + Security deposit + Acquisition fee

= 4400 + 435 + 530

= $5365

Learn more about cash on:

brainly.com/question/735261

#SPJ1

Answer:

≥ and ≤ will both be solid dots, as it includes the number

x ≥ -7 is everything greater than -7; x ≤ 4 is everything less than 4.

to include both, you'd click -7, drag right, and stop at 4

The factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

The polynomial is given as:

x^3 - 5x^2 + 3x - 15

Group the terms

(x^3 - 5x^2) + (3x - 15)

Factorize each group

x^2(x - 5) + 3(x - 5)

Factor out x - 5

(x^2 + 3)(x- 5)

Hence, the factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

Read more about polynomials at:

https://brainly.com/question/11536910

#SPJ1

Answer: [tex]x=\frac{5 \pm \sqrt{53}}{2}[/tex]

Step-by-step explanation:

[tex]x^2 - 5x-7=0\\\\x=\frac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(-7)}}{2(1)}\\\\x=\frac{5 \pm \sqrt{53}}{2}[/tex]

Answer:

LA = 624 cm²

Step-by-step explanation:

h² = 5² + 12²

h = 13

LA = 4 × bh/2

LA = 4 × (24 cm)(13 cm)/2

LA = (48 cm)(13 cm)

LA = 624 cm²

The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

What are Domain and range of a Function?

Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

Know more about Domain and Range with the help of the given link:

https://brainly.com/question/20349151

#SPJ4

p(1) = 1

Let p(x) = x2 + bx = c

then, p(p(x)) = (x2 + bx + c)² + b(x2 + bx + c) + c

Sum of roots of p(p(x)) is given by = - (coefficient of x3/constant term)

= -2b/c2+bc+c = f(a,b) (say)

For critical points,

∂f/∂c = 0 and ∂f/∂b = 0

= 2b(2c+b+1)/c2+bc+c = 0 and - {( c2+bc+c)²- 2b (c)/ ( c2+bc+c)²}= 0

= b(2c+b+1) =0  

= b= 0 or b= - (1+2c)  = -(2c(c+1))/c2+bc+c = 0

If c=0 , b= -1  => c= 0 or c=-1

If c = -1 ,b = 1

thus we have the following possibility for (b,c)

(0,0) , (0,-1) , (-1,0) ,(1,-1).

At (0,0) f(0,0) = not defined

(0,-1) f(0,-1) = 0

(1,-1) f(1,-1) = 2

(-1,0) is not possible.

p(x) = (x2 +x-1)² + (x2 +x-1) -1

= p(1) = (1+1-1)² + (1+1-1) -1

= 1

Hence, p(1) = 1

Learn more about the sum of roots here https://brainly.com/question/10235172

#SPJ4

47% of those who received a certificate were men

It is given that in an Italian class, 65 percent of the students were women. At the end of the class, 52 percent of the men and 44 percent of the women received a certificate.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

To know more about probability visit: https://brainly.com/question/13604758

#SPJ4

Answer:

If y = 60 then x = 25

Step-by-step explanation:

You know that when y = 12 then x = 5

So when y = 60, x = 25

The reason for this is because 12 * 5 = 60.

Which means that since the y = 12 was multiplied by 5, the x = 5 should be multiplied by 5 too.

Since 5 * 5 = 25, then we know that if y = 60, then x will equal 25.

Hope this helped! :D

The  value of h(6) = 5

A function is a mathematical statement used to relate two variables .

It is given that

4h(x) = h(4x)

It is also given that

h(24) = 20

now to determine the value of h(6)

4* h(6) = h(6 *4)

4* h(6) = h(24)

4 * h(6) = 20

h(6) = 5

Therefore the value of h(6) = 5.

To know more about function

brainly.com/question/12431044

#SPJ1

Answer:

Hence, 12,90,000 can be expressed as [tex]$1.29 \times 10^{6}$[/tex].

Step-by-step explanation:

- Given 12,90,000

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 12,90,000

1.29

So, 1.29 lies between 1 & 10.

Now, Decimal moved to 6 places at left.

[tex]$1.29 \times 10^{6}$[/tex]

So, [tex]$12,90,000=1 \cdot 29 \times 10^{6}$[/tex].

The values of m and n are -29/3 and 40/3 respectively

A polynomial is a function that has a leading degree of 2 and greater. Given the polynomial

P(x) = 2x^3 + mx^2 + nx – 2

If  it is divided by x – 3, the remainder is 4 and divided by x – 2, the remainder is 2, hence;

4 = 2(3)^3 + 9m + 3n - 2

4 = 54 + 9m + 3n - 3

9m + 3n = -47

Similarly

2 = 2(2)^3 + 4m + 2n - 2

4m + 2n = -12

Solve simultaneously

9m + 3n = -47 * 2

4m + 2n = -12  * 3

______________
18m + 6n = -94

12m + 6n = -36

Subtract

6m = -58

m = -58/6 = -29/3

For the value of n

4m + 2n = -12

2m + n = -6

2(-29/3) + n = -6

n = -6 + 58/3

n = 40/3

Hence the values of m and n are -29/3 and 40/3 respectively

Learn more on polynomial here: https://brainly.com/question/4142886

#SPJ1

Answer:

a = 45.14

Step-by-step explanation:

First we need to determine whether this is a non-right triangle or a right triangle.

Since we have two angles already, we can determine whether the third angle is a right or non-right angle:

The sum of all the angles in a triangle will always add up to 180, so we have

180 - (62 + 28) = 180 - 90 = 90

Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.

If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.  

This means we must use tangent as [tex]tan=\frac{opposite}{adjacent}[/tex]:

[tex]tan (62)=\frac{a}{24}\\ 24*tan(62)=a\\45.137=45.14 = a[/tex]

Answer:

6 years

Step-by-step explanation:

So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.

So the father can be represented as: y=x+38

The sons can be represented as: y = x+13 and y=x+5

The daughter can be represented as: y=x+8

So adding up all his children you get:

(x+13)+(x+5)+(x+8)

This gives you the equation:

3x+26

Now set this equal to the father's age to solve for x (in this context it's years)

3x+26=x+38

Subtract from both sides

2x+26=38

Subtract 26 from both sides

2x=12

Divide both sides by 2

x=6

So in 6 years the father will be the same age as his children put together

Answer:

C

Step-by-step explanation:

the solution is at the point of intersection of the 2 lines.

the lines intersect at (1, 4 ) , then

solution to the system of equations is (1, 4 )

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x + 2y = - 4 ( subtract 3x from both sides )

2y = - 3x - 4 ( divide terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - [tex]\frac{3}{2}[/tex] x + 5 ← equation of parallel line

Answer:

See attached image.

Step-by-step explanation: