Answer:
84.78 in
Step-by-step explanation:
in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
2/3 divided by 1 1/2
Answer: 0.4
Step-by-step explanation:
In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?
what is the difference between - 21 and -8 on a number line?
Answer:
They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.
Simplify the radical expression (3 + √6) (3 - √6)
Answer:
3
Step-by-step explanation:
(3 + √6) (3 - √6) = 9-3√6+3√6-6 = 9-6 = 3
(pls mark brainliest fam)
Answer:
3
Step-by-step explanation:
use FOIL method. ;)
Please can’t Gail this
Answer:
4
Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4
two consecutive integers whose product is 17
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?
Answer:
(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).
Step-by-step explanation:
Please help with this
Answer:
A
Step-by-step explanation:
Need help please owo with all of them
Answer:
d, c and a
Step-by-step explanation:
O///O
What is the mode of 4, 9, 9, 9, 4, 6, 6, 6, 9?
Answer:
9
Step-by-step explanation:
That's the most common number there
Answer:
9
Step-by-step explanation:
The mode of a set of data values is the value that appears most often.
in this set, 9 appears 4 times -> 9 is mode
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?
Solve the problem. Multiply 22 and 7 and you 154 and that's your answer
154 miles
Answer: 154
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22).
Mathematically speaking:
7m x 22d = 154 miles
Zack walks 154 miles in one month.
Feel free to ask for more if needed or if you did not understand something.
1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?
Answer:
The sniper shoot from 870.775 feet vertical distance.
Step-by-step explanation:
Refer the attached figure
Height of victim = AB = 4.5 ft.
Distance between tower and victim BC = 780 feet
The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]
Let DE be x
AB = CE = 4.5 feet
BC =AE = 780 feet
Height of tower = DE+CE=x+4.5
In ΔDAE
[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]
Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet
Hence the sniper shoot from 870.775 feet vertical distance.
6 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
3 minutes
Step-by-step explanation:
18 divided by 6 = 3 minutes
Hope this helps :)
Can someone help with this
Answer:
the answered is -3 like in the picture
Step-by-step explanation:
A stack of 12 bricks is 27 inches high. How high is each brick?
Answer: 2.25 inches
Step-by-step explanation:
27/12= 2.25
|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!
Answer:
R=-3 which is the same thing as 11/2
Step-by-step explanation:
Answer:
r=−3,11/2
Step-by-step explanation:
thats what I got
30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?
Answer:
A - school certificates
B - college degrees
So 30 - (10 + 8 + 2) = 10 have no qualification
math question down below screen shot
Answer:
the screen shoy isnt showing up
Step-by-step explanation:
What does the word ‘Denotation’ mean?
Answer: Depends on what your talking about so I'll give all 3 definitions.
Step-by-step explanation:
1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.
-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.
2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.
3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.
Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.
Answer:
Step-by-step explanation:
If you write correctly:
[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]
I do not know the "?" in the formule de P
-The polynomial has 5 terms. Yes
-The leading coefficient is -2. No
.
-The degree of the polynomial is 7. Yes
-The constant term is 4. Yes
-The polynomial is in decreasing degree order. No
Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?
Please help!
Answer: 242.7 square inches
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
The first model has a height of 5 inches and a surface area of 80.9 square inches:
The proportion is : height/ surface area= 5 in / 80.9 in2
For a height of 15 inches
15 in/ x in2
So:
5/80.9 = 15/x
x= 15/ (5/80.9 )
x= 242.7 square inches
Feel free to ask for more if needed or if you did not understand something.
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!
Answer:
150
Step-by-step explanation:
You need to add 60 to the 90 and then check it by doing 60% of 150.
Hope this helps.
Answer: 150 is the answer
Step-by-step explanation:
Solve: 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5)
25/45 + (-36/45)
(Multiplied each side by opposite denom.)
25/45 -36/45
Simplify
25-36=-11
-11/45
Cannot simpfily
Answer:
Step-by-step explanation:
5/9 + (-4/5)
-11/45 or − 0.244444444 and on and on forever
Fond the equation of the line shown
Answer:
y+-1/2x-1
Step-by-step explanation:
The line is negative
It rises one digit and runs 2
and it crosses though -1 on the y axis
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answer:
undefined
Step-by-step explanation:
PLEASE HELP AGAIN, SORRY I SUCK AT MATH.
Answer:
C. 24 degrees
Step-by-step explanation:
All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.
120+36=156
Then subtract the sum of the known angles from 180 to find the degree of the unknown angle
180-156=24
Answer: C
Step-by-step explanation:
I'll explain why.
The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.
The sum of the angles (x+36+120) must be equal to 180 (=180)
x+36+120=180
Combine like terms
x+156=180
Subtract 156 to isolate x
x=180-156
x=24
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
can someone help me please?
Answer:
(10,11)
(8,7)
(6,3)
(4,-1)
(2,-5)
(0,-9)
(-2,-13)
(-4,-17)
Answer: the image of how its supposed to be graphed is listed down below! hope this helped!
Step-by-step explanation:
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
