1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hoochie [10]
3 years ago
15

Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t

est

Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: (x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14

<u>Area of the big rectangle</u>: (x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99

The difference is: 11x+85

( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

f(d)=h=-2d^2+7d+4

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

f(0)=h=-2(0)^2+7(0)+4

h=4

The height is 4 meters.

b) 9 meters.

For d=1

f(1)=h=-2(1)^2+7(1)+4

f(1)=h=-2+7+4

h=9

b) The ball travels 4 meters.

But to calculate it, it is when h=0

0=-2d^2+7d+4

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

V=\pi r^2h

V=\pi (2.5)^2 \cdot 5

V=31.25 \pi

V_{c} \approx 98.17 \text{ m}^3

The volume of the sphere:

$V=\frac{4}{3}  \pi r^2$

V_{s} \approx 65.4 \text{ m}^3

The volume of the capsule is approximately 163.57  \text{ m}^3

You might be interested in
Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will
marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

C=2\pi r

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

C=2\pi (5)=10\pi\text{ feet}

The formula for the area of a circle is:

A=\pi r^2

Substitute 5 for r:

A=\pi (5)^2

Square and simplify:

A=25\pi \text{ square feet}

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

C=2\pi (6)

Multiply:

C=12\pi\text{ feet}

Substitute 6 for r for the area formula:

A=\pi(6)^2

Square and simplify:

A=36\pi\text{ square feet}

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0
3 years ago
Someone help me asap?
laila [671]
4) 8n
5) x=27
6) 2n=22
7)5
6 0
3 years ago
Please help me with this. I'll mark brainiest
atroni [7]

Answer:

Option 3 (C)

Step-by-step explanation:

Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18

To find the box plot that represents the data set, we need to find:

Min, Q1, median, Q3, and Max, which are all represented on a box plot.

Min = 3

Max = 18

Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7

Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5

Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11

The box plot that closely represented all these values is the box plot in option 3.

8 0
3 years ago
(4y + 6) + (5n + 9) = ??? Simplify your answer
elena55 [62]

Answer:

5n+4y+15

Step-by-step explanation:

Eliminate redundant parentheses:

4y+6+5n+9

Add the numbers:

4y+15+5n

Rearrange terms:

5n+4y+15

Therefore, 5n+4y+15 is the answer.

4 0
3 years ago
Read 2 more answers
A server fills an ice cream cone with ice cream. The cone has a diameter of 3 inches and is 8 inches tall. Approximately how muc
irina1246 [14]

Answer:

V≈75.4

Step-by-step explanation:

V=πr^2h/3

v=3.14(3)^2(8)/3=75.4

3 0
3 years ago
Other questions:
  • Why did populist party want to have a silver standard instead of a gold standard?
    9·1 answer
  • Simply the expression shown. 3x + 2 - 3x + 7 +5x what is the coefficient in the simplified expression ?
    15·2 answers
  • Csi geometry transformations answers
    7·1 answer
  • What is 3 3/8 tons equal to in pounds?
    12·2 answers
  • Solve only if you know the answer : 2/f * 5/8
    5·2 answers
  • I GIVE BRAINLILEST
    6·1 answer
  • Solve: 15 = -(1/2)(-12x + 2)
    6·1 answer
  • A rule for a sequence of numbers is given.
    10·1 answer
  • Someone please help me!! I'll give brainliest
    5·1 answer
  • Renae and her family are on vacation. During the drive from Denver to Rocky Mountain National Park, she saw 48 travel trailers a
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!