I can write linear equations
1. Through: (-1,3), Slope=2
2.Through: (3,3), slope= -2
What is the volume of a cylinder, in cubic ft, with a height of 9ft and a base diameter
of 16ft? Round to the nearest tenths place
Answer:
Volume of cylinder is: Volume=1808.64 ft³
Step-by-step explanation:
Height of cylinder = 9 ft
Base diameter of cylinder = 16 ft
We need to find volume of cylinder .
The formula used is: [tex]Volume=\pi r^2h[/tex]
We need radius:
The radius = diameter/2 = 16/2 = 8 ft
Putting values and finding volume of cylinder
[tex]Volume=\pi r^2h[/tex]
[tex]Volume=3.14\times (8)^2\times (9) \\Volume=3.14\times 64\times (9) \\Volume=1808.64 \: ft^3[/tex]
So, Volume of cylinder is: Volume=1808.64 ft³
WILL MARK BRAINLIEST IF CORRECT ANSWER! How many solutions??
Answer: infinite
Step-by-step explanation: since they have the same slope and y interscept it is a coincident line and has infinite solutions
y= 4-x
y= 4-x
Answer:
infinitely many
Step-by-step explanation:
when you simplify, you get the following two equations:
y=-x+4
y=-x+4
those two equations are the same, therefore it is many
Solve the equation below by factoring, then select ALL of the possible solutions.
f (x) = x^2 - 9x - 36
a . x = - 12
b. x = - 9
c. x = - 6
d. x = - 4
e. x = - 3
f. x = - 2
g. x = 2
h. x = 3
i. x = 4
j. x = 6
k. x = 9
l. x = 12
giving brainliest !!!!
Answer:
It is A or D but mostly A is correct.
Step-by-step explanation:
give brainliest
1. If 5 lbs of apples cost $2.99, How much would 3 lbs cost?
-60+x-23=70
Need help
Answer:
x-83=70
x = 70 + 83
x= 153
Bonnie filled her car’s gas tank. She put in 10 1/2 gallons and paid $15.36.
Write the ratio in fractional form to determine the cost of gasoline per gallon.
What is the cost of gasoline per gallon?
Answer:
1: 2 and $3.072
Step-by-step explanation:
According to the question, the data provided is as follows
10 half gallons
For this she paid $15.36
Based on the above information,
The ratio in fractional form is
= 1 ÷ 2
= 1 : 2
And, the cost of gasoline per gallon is
Since half of 10 gallons is 5
And, the amount paid is $15.36
So, the cost of gasoline per gallon is
= $15.36 ÷ 5
= $3.072
Step-by-step explanation:
Please help me with my question
Answer: use mahthway it hels
Step-by-step explanation:
The cube of the product of 8 and a number.
The unknown number will be equal to 64.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cube of the product of 8 and the number is 512. The unknown number will be calculated as,
8 x = 512
x = 512 / 8
x = 64
The number which is the product of 8 will be equal to 64.
The complete question is given below.
The cube of the product of 8 and the number is 512. What is the number?
To know more about an expression follow
https://brainly.com/question/1713767
#SPJ2
PLEASE HELP ME!!!!! WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!
Answer:
Domain: -3 ≤ x ≤ 3
Range: -2 ≤ y ≤ 4
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our x-values span from -3 to 3. Since both are closed dot, they are inclusive in the domain:
[-3, 3] or -3 ≤ x ≤ 3
According to the graph, our y-values span from -2 to 4. Since both are closed dot, they are inclusive in the range:
[-2, 4] or -2 ≤ y ≤ 4
Solve the equatuon
x/2-(2/(x+1))=1
x=?
[tex]\frac{x}{2}-\frac{2}{x+1}=1[/tex]
We have 2 denominators that we need to get rid of. Whenever there are the denominators, all we have to do is multiply all whole equation with the denominators.
Our denominators are both 2 and x+1. Therefore, we multiply the whole equation by 2(x+1)
[tex]\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)][/tex]
Then shorten the fractions.
[tex]\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]\\x(x+1)-2(2)=1(2x+2)[/tex]
Distribute in all.
[tex]x^2+x-4=2x+2[/tex]
We should get like this. Because the polynomial is 2-degree, I'd suggest you to move all terms to one place. Therefore, moving 2x+2 to another side and subtract.
[tex]x^2+x-4-2x-2=0\\x^2-x-6=0\\[/tex]
We are almost there. All we have to do is, solving for x by factoring. (Although there are more than just factoring but factoring this polynomial is faster.)
[tex](x-3)(x+2)=0\\x=3,-2[/tex]
Thus, the answer is x = 3, -2
What fraction is equivalent to the expression
21
16
÷
7
4
?
Answer:
3/4
Step-by-step explanation:
21/16 ÷ 7/4
21/16 × 4/7
3/4
13 more than x times 5 as an expression
Answer: I believe it's 13 > 5x or 5x+13. . But I'm not completely sure.
Help? Will give brainliest!
Answer:
Top one
Step-by-step explanation:
It is more appropriate to measure the speck of dust using millimeters because that is most similar to the scale of the speck's size.
Need this ASAP thanks
Answer:
In Step 2.
Step-by-step explanation:
They should have distributed the 2 to the x and 1 instead of subtracting it.
An artist can draw 3 illustrations in 3.5 hours. How many hours will it take to
draw 15 illustrations? Explain or show how you found your answer.
Answer:
17.5 hours
Step-by-step explanation:
divide 15 by 3 to get 5,
multiply 5 by the amount of hours it takes to draw 3 illustrations so 5 x 3.5, the answer is 17.5
Determine the intercepts of the line.
x-intercept ( , )
y-intercept ( , )
Answer:
y-100
x-250
Step-by-step explanation:
because the lines are insecting the other lines on that line
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is BLANK °C higher than the average daily minimum temperature.
Answer:
The average daily maximum temperature is
26.56 °C higher than the average daily minimum temperature
Step-by-step explanation:
Here, we simply want to calculate how higher is the average daily maximum temperature to average daily minimum temperature
We simply proceed to subtract the two
Mathematically, that will be;
21.85 - (-4.7)
= 21.85 + 4.7
= 26.56 °C
I can't seem to figure this one out. Could someone show how to do it and the answer? Thanks in advance!
Answer:
[tex]\displaystyle (-\infty, -\frac{1}{6})[/tex]
Step-by-Step explanation:
We have the function:
[tex]\displaystyle y=\int_{1}^{x}\frac{1}{3+t+3t^2}\, dt[/tex]
And we want to find the interval for which y is concave upwards.
Therefore, we will need to find the second derivative of y, find its inflection points (where y''=0), and test for values.
So, let's take the derivative of both sides with respect to x. So:
[tex]\displaystyle y^\prime=\frac{d}{dx}\Bigg[\int_{1}^{x}\frac{1}{3+t+3t^2}\, dt\Bigg][/tex]
By the Fundamental Theorem of Calculus:
[tex]\displaystyle y^\prime=\frac{1}{3+x+3x^2}[/tex]
So, we will take the derivative again. Hence:
[tex]\displaystyle y^\prime^\prime=\frac{d}{dx}\Big[\frac{1}{3+x+3x^2}\Big]=\frac{d}{dx}\Big[(3+x+3x^2)^{-1}\Big][/tex]
We will use the chain rule. Let:
[tex]\displaystyle u=x^{-1}\text{ and } v=3+x+3x^2[/tex]
Differentiate:
[tex]\displaystyle y^\prime^\prime=-(3+x+3x^2)^{-2}(1+6x)[/tex]
Rewrite:
[tex]\displaystyle y^\prime^\prime=-\frac{6x+1}{(3+x+3x^2)^2}[/tex]
So, points of inflection, where the concavity changes, is whenever the second derivative is 0 or undefined.
We can see that the second derivative will never be undefined since the denominator can never equal 0.
So, our only possible inflection points are when it's equal to 0. Hence:
[tex]\displaystyle 0=-\frac{6x+1}{(3+x+3x^2)^2}[/tex]
Multiplying both sides by the denominator gives:
[tex]0=-(6x+1)[/tex]
Then it follows that:
[tex]\displaystyle x=-\frac{1}{6}[/tex]
So, our only possible point of inflection is at x=-1/6.
We will test for values less than and greater than this inflection point.
Testing for x=-1, we see that:
[tex]\displaystyle y^\prime^\prime=-\frac{6(-1)+1}{3+(-1)+3(-1)^2}=1>0[/tex]
Since the result is positive, y is concave up for all values less than -1/6.
And testing for x=0, we see that:
[tex]\displaystyle y^\prime^\prime=-\frac{6(0)+1}{3+(0)+3(0)^2}=-\frac{1}{3}[/tex]
Since the result is negative, y is concave down for all values greater than -1/6.
Therefore, the interval for which y is concave up is:
[tex]\displaystyle (-\infty, -\frac{1}{6})[/tex]
Note that we use parentheses instead of brackets since at exactly x=-1/6, our graph is neither concave up nor concave down.
Two numbers are in the ratio 2:5 .If their sum is 28 ,find the numbers
Answer:
8:20
Step-by-step explanation:
8+20=28 and all that has happened is the ratio got bigger.
Anna's favorite pool toys are the beach balls. If the radius of one of the beach balls
is 6 inches, to the nearest whole number, what is the volume of the beach ball?
Leave your answer in terms of a.
Inches Cubed
Answer:
288
Step-by-step explanation:
please review the attachment for step by step soluation
Let f(x) = 2x^2-2x+ 7 and g(x) = x^2 + 9x -6z Find f(x) - g(x).
A. X^2-11x+13
B. X^2-11x+1
C. X^2+7x+1
D. X^2+7x+13
Heres the answer welcome btw
2x<6 solve the following inequality
Answer:
x<3
Step-by-step explanation:
2x<6
/ /
2 2
x<3
9-3x/9=-11 what is x and how you did it in a way that isn’t complicated please
question is in the picture.
Answer: About 16 snaps
Step-by-step explanation:
In a box and whisker plot, the rightmost line in the "box" of the plot is the third quartile, which represents the 75th percentile.
In this graph, although it is difficult to pinpoint the EXACT number of snaps sent, the 75th percentile would be marked at about 16 snaps.
The winner of a 50 mile race drove his car to victory at a rate of 112.9094 mph. What was his time (to the nearest thousandth of an hour)?
His time was
hours.
(Round to the nearest thousandth.)
Answer:
0.443 hours
Step-by-step explanation:
time = total distance / mph
time = 50 / 112.9094
time ≈ 0.443 hours
Answer:
0.443 hours
Explanation:
Given following:
speed: 112.9094 mphdistance: 50 milesFormula:
[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]
Substitute values to find time taken:
[tex]\sf \rightarrow time = \dfrac{50}{112.9094 }[/tex]
evaluate
[tex]\sf \rightarrow time = 0.4428329262[/tex]
rounded to nearest thousandth
[tex]\sf \rightarrow time = 0.443[/tex]
Suppose a and b are positive integers such that lcm(a,b) = 90 and gcd(a,b) = 3. If b is three more than a, then what are the values of a and b?
Given:
LCM(a,b) = 90 and GCD(a,b) = 3.
b is three more than a.
To find:
The values of a and b.
Solution:
We have,
LCM(a,b) = 90
GCD(a,b) = HCF(a,b) = 3
According to the question,
[tex]b=a+3[/tex]
If a and b are two positive integers, then
[tex]a\times b=HCF(a,b)\times LCM(a,b)[/tex]
[tex]a\times (a+3)=3\times 90[/tex]
[tex]a^2+3a=270[/tex]
[tex]a^2+3a-270=0[/tex]
Splitting the middle terms, we get
[tex]a^2+18a-15a-270=0[/tex]
[tex]a(a+18)-15(a+18)=0[/tex]
[tex](a+18)(a-15)=0[/tex]
Using zero product property, we get
[tex]a+18=0[/tex] and [tex]a-15=0[/tex]
[tex]a=-18[/tex] and [tex]a=15[/tex]
a is a positive integer so it cannot be negative. So, a=15.
Now,
[tex]b=a+3[/tex]
[tex]b=15+3[/tex]
[tex]b=18[/tex]
Therefore, the value of a is 15 and the value of b is 18.
Which graph represents an even function?
Answer:
one that looks like triangle
Step-by-step explanation:
Evaluate the function rule for the given value. y = 12 • 3^-2 for x = –2