If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.
Answers
Part (a)
Answer: x^3 + 12x^2 + 47x + 60--------------------------
Work Shown:
Let's say we have
L = length = x+5W = width = x+4H = height = x+3To find the volume of the block, we multiply the length width and height.
So,
volume = (length)*(width)*(height)
V = L*W*H
V = LW*(x+3) .... replace H with (x+3)
V = LW*x + LW*3 .... distribute
V = Lx*(W) + 3L*(W)
V = Lx(x+4) + 3L(x+4) .... replace W with x+4
V = Lx^2 + 4Lx + 3Lx + 12L .... distribute
V = Lx^2 + 7Lx + 12L
V = x^2*(L) + 7x*(L) + 12*(L)
V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5
V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute
V = x^3 + 12x^2 + 47x + 60
x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.
=======================================================
Part (b)
Answer: 336 cubic feet--------------------------
Work Shown:
We can plug x = 3 into the polynomial we found
V = x^3 + 12x^2 + 47x + 60
V = (3)^3 + 12(3)^2 + 47(3) + 60
V = 27 + 12(9) + 47(3) + 60
V = 27 + 108 + 141 + 60
V = 336
Or we could find the volume like this
V = L*W*H
V = (x+5)*(x+4)*(x+3)
V = (3+5)*(3+4)*(3+3)
V = (8)*(7)*(6)
V = 336
Either way, we get the same volume of 336 cubic feet.
Related Questions
What is the answers the question (a - b)^2
Answers
Answer:
(a-b)²
a²+b²- 2×a×b
a²+b² - 2ab
can you please give me the real answer -42 = n/7 will give u 5 star rating
Answers
Step-by-step explanation:
Sent from my Huawei to the one who makes me so happy in my life thx for everything happy 6 months together baby and I love you so much ik I am so glad you are the one to thank for your life and your
n = - 343
Can someone please give me a simple explanation on exponential functions? I need to write a one page essay over what it is
Answers
Answer:
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function
Step-by-step explanation:
A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100
Answers
Answer:
3,675 people
Step-by-step explanation:
First row, a = 20
Common difference, d = 5
number of terms, n = 35
Sn = n/2 {2a + (n - 1)d}
= 35/2 {2*20 + (35 - 1)5}
= 35/2 {40 + ( 34)5}
= 17.5(40 + 170)
= 17.5(210)
= 3,675 people
The answer is actually 3675.
My reasoning: Plug it in and you shall see!
Can someone help? Ill do brainliest, Im trying to get my grades up- <33
Answers
Answer: The length of the hypotenuse (c) is 5
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a & b are the legs (b is the base)
c = hypotenuse
a = 4
b = 3
a² + b² = c²
4² + 3² = c²
16 + 9 = c²
25 = c²
√c² = √25
c = 5
3^2 +4^2= c^2
9+16=25^2
write a equation for the following phrase 3 times a number plus 6 equal 9?
Answers
Answer:
3n + 6 =9
I hope im right!!
3n - 2 + 5n, when n = 4
Answers
Answer:
30
Step-by-step explanation:
3n-2+5n=8n-2
8(4)-2=32-2=30
Answer:
12 - 2 = 10 + 20 = 30
Already simplified it.
Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers ( Green Leaf Lawn Care will have after w weeks
Answers
Answer:
C. c = 64 + 2w
Step-by-step explanation:
You're starting with 64 customers and you're gaining 2 for each week.
good luck, i hope this helps :)
what is the domain of the function a^x
Answers
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Step-by-step explanation:
Identify the input values.
Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...
The solution(s) are the domain of the function.
What number represents the same amount of 2 hundreds, 14 tens, and 3 ones.
Answers
Answer:
i think the answer would be 343?
Step-by-step explanation:
2.
When solving an equation that uses division, such as n/8 = 7, what inverse
operation should you use to solve for n?
a) Addition
b) Subtraction
c) Multiplication
d) Division
Answers
What is the measure of the missing angle in this triangle?
35°
60°
155°
25°
Answers
Answer:
25 is the answer.
Step-by-step explanation:
Hope this helps!!
5h – 4 > 6 and 7h + 11 < 32
Answers
Answer:
iihi
Step-by-step explanation:
Answer:
h > 2
-------------------------
h < 3
Step-by-step explanation:
5h – 4 > 6
add 4 both sides
5h > 10
divide 5 both sides
h > 2
-------------------------
7h + 11 < 32
subtract 11 both sides
7h < 21
divide 7 both sides
h < 3
<1 and 23 can best be described as -
Answers
FIND M∠R (GIVING BRAINLIEST, 25 PTS)
Answers
Answer:
76Step-by-step explanation:
to understand thisyou need to know about:trianglesequationPEMDASgiven:[tex]M\angle T=2x+2[/tex][tex]M\angle R=3x+1[/tex]tips and formulas:this is an isosceles triangle since two sides are equal therefore [tex]\angle T=\angle S[/tex]a triangle contains 180°let's solve:according to the question
2x+2+2x+2+3x+1=180
solve:
collect like terms:7x+5=180substract 5 from both sides:=>7x+5-5=180-5=>7x=175divide both sides by 7: =>7x/7=175/7x=25given:
M∠R=3x+1
substitute the value of x
3×25+1
75+1
76
Answer:
M∠R=76°
Step-by-step explanation:
First, I realized that ∠S was equal to ∠T, meaning ∠S=2x+2. I then added all 3 angles together and set them equal to 180, seeing the angles of a triangle must add up to 180 (2x+2+2x+2+3x+1=7x+5=180)
After that, I subtracted 5 from 180 and then divided by 7 to get x=25. I then solved the equation 3x+1 by plugging 25 in for x and ended up with 76 as my final answer.
A bag contains 25 cards bearing number 1, 2, 3 …., 25 respectively. One card is drawn at random. What is the probability that number is divisible by 3?
pls help
Answers
Answer:
8/25
Step-by-step explanation:
there are 8 numbers from 1 - 25 that are divisible by 3 because 25/3 = 8.3333..
Written out these would be:
3,6,9,12,15,18,21, and 24
so you ahve 8 out of a total of 25
14 deliveries in 7 hours =
deliveries per hour?
Answers
Answer:
2
Step-by-step explanation:
14/7=2
Explanation: 14 ÷ 7 is 2. You can also check it by doing 2 x 7 to equal the 14 deliveries in 7 hours.
12. Three friends went to an ice cream parlor for ice cream. They each paid $3.51 for their ice
cream, including an 8% sales tax.
What was the total cost of all three bowls of ice cream before tax was added?
$
Answers
Answer:
total cost - $3.23 per icecream cone no tax // cost is $9.69 all 3 ice cream cones no tax // solve by multiplying .08 by $3.51. you get .28 // subtract that from $3.51 to solve
find the length of the third side of the right triangle!!!!
Answers
Answer:
8
Step-by-step explanation:
There are two ways to solve this!
1. Use the Pythagorean Theorem
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
100 - 36 = b^2
64 = b^2
8 = b
2. Shortcut using 3-4-5 triangles
A 3-4-5 triangle has to do with the ratios of each side.
In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in simplest
form
C2
WRITER
I
Answers
Answer:
10/15
simplest form:2/3
Step-by-step explanation:
(05.05)On the coordinate plane below, what is the length of AB?
O 8 units
9 units
13 units
14 units
Answers
At a holiday camp, the ratio of boys to girls is
3
:
4
and the ratio of girls to adults is
5
:
7
. What is the ratio of children to adults at the camp?
Input note: give the ratio in its simplest form.
Answers
Answer:
5:4
Step-by-step explanation:
Step-by-step explanation:
boys : girls : adults
3 : 4 :
5 : 7
15 : 20 : 28
children : adults
15 + 20 : 28
35 : 28
5 : 4
Giving BRAINLIEST for whosoever answers first.
Answers
Answer:
hiiii
Step-by-step explanation:
im not sure
Answer:
5+X=m hope this helps!
Step-by-step explanation:
What is the sqrt of i 25
Answers
Answer:
5
Step-by-step explanation:
- ohcogcogdgsogxicrkrxlgx
Find the value of x
O A.3
O B. 11
O c. 7
OD. 5
Answers
Answer:
Step-by-step explanation:
7x+13 = 48
7x = 35
x = 5
Answer:
D. 5
Step-by-step explanation:
The angle should equal 48 degrees as it is congruent to the other angle labeled as 48 degrees.
So, we get the equation 7x + 13 = 48
Subtract 13 from both sides.
7x + 13 - 13 = 7x
48 - 13 = 35
We get 7x = 35
Divide by 7 on both sides.
7x / 7 = x
35 / 7 = 5
We get x = 5.
Help sir! Thank you, Mr Thompson
Answers
Problem 1
To find the y intercept, plug in x = 0 and simplify
f(x) = (x-2)(x+4)
f(0) = (0-2)(0+4)
f(0) = (-2)*(4)
f(0) = -8
We have x = 0 pair up with y = -8
The y intercept is (0,-8)
Answer: Choice D
========================================
Problem 2
(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.
The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.
Answer: C) Parabola opens upward
========================================
Problem 3
Answers:
A = h(x)B = f(x)C = g(x)Explanation:
Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).
Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.
At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.
Answers
Answer:
10
Step-by-step explanation:
100% = 40 teams
1% = 40 ÷ 100 = 0.40
25% = 0.40 x 25 = 10
Answer:
10
Step-by-step explanation:
100%/4=25%
40/4=10
You have to divide 100% by 4 because 25 goes into 100 four times.
What ever you do on the bottom or top you to do it top or bottom.
So 40 divide by 4 is 10.
Then you have you answer.
the perimeter of a rectangle is 30 cm. The height is 5 cm . what is the area of that rectangle.
Answers
Answer:
Pretty sure its 50
Step-by-step explanation:
if the height is 5, that would be multiplied by 2 because there are two identical sides. From the product, 10, you would need to get to 30, so you add 20. that means the other two identical sides are 10cm. 10x5 (length x width) is equal to 50.
Answer:
[tex]30 = 2 \times l + 2 \times b \\ 30 = 2 \times 5 + 2 \times b \\ 30 = 10 + 2b \\ 30 - 10 = 2b \\ 20 = 2b \\ = 20 \div 2 = 10 \\ area = l \times b \\ 5 \times 10 = 50cm {}^{2} [/tex]
Find the number that makes the ratio equivalent to 72:96.
Answers
Answer:
72:96=72/12=6
So, 96/12=8
6:8
Answer:
3:4
Step-by-step explanation:
72/24:96/24 ( dividing numerator and denominator by 24)
=3:4
help me pls and thank you
Answers
Answer:
B
Step-by-step explanation:
2.25-2.25 is zero, the others have nothing to do with zero. A is a "distractor", but it ends up being 20.
