The sum of two numbers is 58. Their difference is 12. Find the numbers.

Answer:

10 x^4 - 8x^5

Explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c

Then you would simplify

−2 x−5(x^2x^2)−2x4(x^2x^3)

Simplify each term

= 10 x^4 - 8x^5

Answer: 80

Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80

Answer:

2 inches

Step-by-step explanation:

A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)

Answer:

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

 Step-by-step explanation:

Step(i):-

Given h(x) = - 16 x² + 48 x +6   ...(i)

Differentiating equation (i) with respective to 'x'

[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex]   ...(ii)

Equating Zero

- 3 2 x + 4 8 = 0

- 32 x = - 48

    x = 1.5

step(ii):-

The maximum height of the ball 'x' = 1.5

Again Differentiating equation (ii) with respective to 'x'

[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]

The maximum height 'x' = 1.5

h(x) = - 16 x² + 48 x +6  

h(1.5) = - 16 (1.5)² +4 8 (1.5) +6

         =   42

The maximum height at x = 1.5 is  = 42

Final answer:-

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

Answer:

Length = 80 metres and Width = 60 metres.

Step-by-step explanation:

Given

Length = 90m

Width = 50m

Required

Dimension of another rectangle with the same perimeter but larger area;

Perimeter of a rectangle is calculated as thus;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Perimeter = 2(90m+ 50m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Area = 90m * 50m[/tex]

[tex]Area = 4500m^2[/tex]

So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²

Using trial by error method;

Assume length of a rectangle is 80m;

This means the width must be 60m

Calculating the perimeter

[tex]Perimeter = 2(80m+ 60m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Calculating the area

[tex]Area = 80m * 60m[/tex]

[tex]Area = 4800m^2[/tex]

Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.

Length = 80 metres and Width = 60 metres.

Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;

Answer: -4, -4

Step-by-step explanation:

y=x means x and y are the same number in the coordinate, no matter if it’s positive or negative.

This question is not properly written

Complete Question

When the two crews start working together, what part of all

the garbage bins will the first garbage truck empty?

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Options

• 0.6

• 0.5

• 0.7

Answer:

0.6

Step-by-step explanation:

Let us say that the total hours worked by both trucks = t hours

Number of hours worked by first truck = 5 hours

Number of hours worked by second truck = 8 hours

Let 1 =  total number of bins.

For the 1st truck the rate at which work was carried out is

(1 ) ÷ (5 ) = 1/5

For the 1st truck the rate at which work was carried out is

( 1 ) ÷ (8 ) = 1/8

Then,

(1/5 + 1/8) × t =1

(1/5 + 1/8) × t= 1

(13/40)t = 1

t = 1÷ 13/40

t = 1× 40/13

t = 40/13 hours.

Hence, the total hours worked by both trucks = 40/13 hours

the part of all

the garbage bins that the first garbage truck will empty is calculated as:

1/5 × 40/13 hr

1/5 × 40/13

= 0.6153846154

Approximately = 0.6

Therefore, when the two crews start working together, the part of all

the garbage bins that the first garbage truck will empty is 0.6 of the total work done.

Answer:

A) 0.6

Step-by-step explanation:

Answer:

Each friend payed $15

Step-by-step explanation:

( 9 x 3 - 162 ) divide that answer by 9 to get the amount of how much each friend payed.

Answer: Flying disc

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula for each object:

Circumference(C) = π x diameter

Diameter = 3  

Circumference (measured) = 10  

C (calculated) = π x d = π x 3 = 9.42  

10≅9.42

Diameter =23

Circumference (measured) = 28  

C (calculated) = π x d = π x 23 = 72.25

72.25 ≠ 28

Not accurate

Diameter =8

Circumference (measured) =25  

C (calculated) = π x d = π x 8= 25.13

25 ≠ 25.13

Diameter =15

Circumference (measured)=47

C (calculated) = π x d = π x 15 = 47.12

47 ≠47.12

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Jar lid

Step-by-step explanation:

If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a  jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Answer:

no

Step-by-step explanation:

When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.

Answer:

the answer is no

Step-by-step explanation:

500+100=600

Answer: 9x-20

Step-by-step explanation:

The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:

[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]

Answer:

Step-by-step explanation:

v=u+at

38.9=13.2+21.5 t

21.5 t=38.9-13.2

21.5 t=25.7

t=25.7/21.5≈1.195 s

Answer:

To find the time taken, we use the equation:

v

=Then to find the time taken, we use the equation:

v = u + at

where:

v is the final velocity of the train

u is the initial velocity of the train

a is the train's acceleration

t is the time taken

So, we get:

t = (v-u)/a

t = (38.9 - 13.2)/21.5

t = 25.7/21.5

t = 1.19 seconds

please see the attached picture for full solution

Hope it helps..

Answer:

Step-by-step explanation:

well,

you mark an arrow to the left side of # line with open circle on -2

then,

you mark an arrow to the right side of # line with open circle on 4

Answer:

C. 1839 ft.

Step-by-step explanation:

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

sin 22 =  689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft

We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.

If the vertical distance from the bottom to the top of the mountain is 689 feet,

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]

Therefore we get,

sin 22 = 689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft.

To learn more about the angle of elevation visit:

https://brainly.com/question/88158

#SPJ5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.54 centimeters = 1 inch

15.24 centimeters = 6 inches

I don't know what other relationships they want :)

Answer: I think it’s 20,390

Step-by-step explanation:

Answer: 11,272

Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.

Hey mate!!

Answer:

n(A)=12

Solution,

A={3,6,9,12,15,18,21,24,27,30,33,36}

Just count the elements,

There are 12 elements in the set.

So the cardinal number of the set is 12.

Answer:

[tex]12[/tex]

Step-by-step explanation:

A = {3,6,9,12,15,18,21,24,27,30,33,36}

To find the cardinal number,

So, according to that,

there are 12 numbers in this set.

So, it's clear for us that, the cardinal number of this set is 12

n (A)= 12

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

B) Vertex = (-5, 2)

Step-by-step explanation:

Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction

We can find vertex by two methods:

We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)

General form of equation of mod function is given by

y = a |x - h| + k

where Vertex = (h, k)

The given equation is

h(x) = 3 |x + 5| + 2

h(x) = 3 |x - (-5)| + 2

where h = -5 and k = 2

So the vertex is:

Vertex = (-5, 2)

Answer:

(–5, 2)

Step-by-step explanation:

Answer: :

x7 –4x5 + 2x4+ 4x3 + x7 – 10

Answer:

[tex]\mathrm{D}[/tex]

Step-by-step explanation:

[tex]6x+5y=-2[/tex]

[tex]6(-2)+5(2)=-2[/tex]

[tex]-12+10=-2[/tex]

[tex]-2=-2[/tex]

[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

Answer:

B

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

the total outcomes is 3*4 = 12

the  probability to get two digit numbers 14 or less is :

11 12 13 14  

4/12 = 1/3

Answer:

Step-by-step explanation:

3x -20 -4x =4x -(3x -2)

3x - 20 -4x = 4x -3x+2

-x-20 =x +2

-20-2=x +x

-22=2x

x= -22/2

x=-11