Answer:
y = -4x - 1
Step-by-step explanation:
We are given the slope so we can find the y intercept using slope intercept [ y = mx + b ]
y = -4x + b
3 = -4(-1) + b
3 = 4 + b
-1 = b
Now, put everything we know and solved for back into the formula.
y = -4x - 1
Best of Luck!
8 The fourth grade had 363 students. Over winter break, 94 students moved away, but
26 new students moved in.
а
How
many students are now in fourth grade Show your work.
There are now
students in fourth grade
Answer:
the answer is 295 students
Answer:
363-94+26 = 295 students
Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 3 (y2 + 2)3/2, 3 ≤ y ≤ 4
Answer:
21π/2
Step-by-step explanation:
94.55π is the area of the required surface.
What is the exact area of a surface obtained by rotating the curve y=f(x), [tex]x_1\leq x\leq x_2[/tex] about the x-axis?[tex]S=\int\limits^{x_1}_{x_2} {2\pi f(x)\sqrt{1+f'(x)^2} \, dx[/tex]
is the exact area of a surface obtained by rotating the curve y=f(x), [tex]x_1\leq x\leq x_2[/tex] about the x-axis
How to solve the problem?Given,
[tex]x=\frac{1}{3}(y^2+2)^{\frac{3}{2}}[/tex]
[tex]\implies (3x)^\frac{2}{3}=y^2+2\\\implies y^2=(3x)^\frac{2}{3}-2[/tex]
[tex]\implies y=\sqrt{(3x)^\frac{2}{3}-2}[/tex]
Let
[tex]y=\sqrt{(3x)^\frac{2}{3}-2}=f(x)[/tex]
Now, the range of y is given 3≤y≤4
hence, the range of x is [tex](\frac{1}{3}(3^2+2)^{\frac{3}{2}}[/tex],[tex]\frac{1}{3}(4^2+2)^{\frac{3}{2}})[/tex]=(12.16,25.46).
So, [tex]S=\int\limits^{25.46}_{12.16} {2\pi f(x)\sqrt{1+f'(x)^2} dx\\\\=[\frac{\pi}{2}(3x)^{\frac{4}{3}}-\pi (3x)^{\frac{2}{3}}]^{25.46}_{12.16}\\=101.63\pi - 6.99 \pi \\= 94.55 \pi[/tex]
is the area of the required surface.
Hence, 94.55π is the area of the required surface.
Learn more about the area of surface- brainly.com/question/24126051
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What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that do begin with the letter "T"? (1 point)
Answer:
5:7
Step-by-step explanation:
The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.
help???
anyone?
thank you
Answer:
$285.12
Step-by-step explanation:
Start by finding the discount price
$480 * 0.45 = 216
Now subtract
$480 - 216 = 264
Then you will need to find the sales tax
264 * 0.08 = 21.12
now add
21.12 + 264 = 285.12
$264.00
45% off means that the new price of the desk will be 55% of the original price.
$480.00(100-45) = $480.00(55)
Converting the percent to a decimal gives:
$480.00(0.55)
Your Answer:
$264
Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
x² + x + 1 + 1 2 3
x2-x+1
x2+x+1+2
x3 - x2 + x
Synthetic division yields
1 | 1 0 0 1
. | 1 1 1
= = = = = = = = = =
. | 1 1 1 2
which translates to
(x³ + 1) / (x - 1) = x² + x + 1 + 2/(x - 1)
where the quotient is x² + x + 1.
Arden has 15 cards and 3 of those cards are red. What percent of her cards are red? *
Answer: 20%
Step-by-step explanation: 3/15 = 1/5 = .20 = 20%
what is the area of a rectangular garden that is 60 feet by 20 feet
Which of the following is a description of the data with a correlation coefficient of 0.1?
PLZ HELP ME WITH THIS ITS DUE SOON AND IDK HOW TO DO IT :(
Answer:
Is it everything or which ones particularly?
what is the 8th term of the following sequence?
3/25, 3/5, 3, 5
Answer:
The 8th term of the following sequence is 9375.
Step-by-step explanation:
Given the sequence
3/25, 3/5, 3, 15
As we know that a geometric sequence has a constant ratio and is defined by:
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
so
[tex]\frac{3}{25},\:\frac{3}{5},\:3,\:15[/tex]
[tex]\frac{\frac{3}{5}}{\frac{3}{25}}=5,\:\quad \frac{3}{\frac{3}{5}}=5,\:\quad \frac{15}{3}=5[/tex]
As the ratio 'r' is the same.
so
[tex]r=5[/tex]
As the first element of the sequence is
[tex]a_1=\frac{3}{25}[/tex]
Therefore, the nth term is computed by
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
[tex]a_n=\frac{3}{25}\cdot \:5^{n-1}[/tex]
Putting n = 8 to determine the 8th term.
[tex]a_8=5^7\cdot \frac{3}{25}[/tex]
[tex]a_8=\frac{3\cdot \:5^7}{25}[/tex]
[tex]=\frac{5^7\cdot \:3}{5^2}[/tex]
[tex]=5^5\cdot \:3[/tex]
[tex]=9375[/tex]
Therefore, the 8th term of the following sequence is 9375.
Using the frequency table below, what is the
probability of selecting a boy and a person who
bought 10 up to 20 lunches?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
P(Boy and 10-20 lunches)
[tex]=\frac{20}{10+20+30+5+25+30}\\=\frac{20}{120}\\=\frac{1}{6}[/tex]
The answer to this problem is 1/6.
what is the value of x in the proportion 2 1/4/x = 1 1/2/3 3/5?
(A) 2 2/5
(B) 5 2/5
(C) 8 1/10
(D) 12 3/20
Answer:
its d bc it is so yeah suck a toe hehehehehehehhehehehehehehehehhehehehehehehehehhehehehehhehehehehhehehehehehehehehehhehhehehehhhehehehehhehhehehehe
Answer: I’m pretty sure ur answer would be B) 5 2/5
Step-by-step explanation: good luck ! <3
Convert 52 centimetres to millimeters.
Answer:
Step-by-step explanation:
1 cm = 10mm
52cm = 52 x 10 = 520mm
1) Greaters sold 30 milkshakes last week. 20%. of the milkshakes had whipped cream on them. How many shakes had whipped cream? Answer: I
Answer:
6
plz vote me brainliest
Step-by-step explanation:
Which problem has a sum or difference of 7/12 ? Mark all that apply.
A. 3/4 + 1/6
B. 3/4 - 1/6
C. 1/3 + 1/4
D. 1/4 + 1/6 + 1/12
E. 2/3 - 1/12
F. 2/3 + 1/6
will mark you brainliest
Answer:
a and b
Step-by-step explanation:
ｈｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉ
How many terms are in the expression, 4x + 5y + 15?
Answer:
There are 3 terms.
the arithmetic mean of a data set is the measure of center ______. (PHOTO INCLUDED)
Answer:
Option A is correct option.
Step-by-step explanation:
We need to fill in the blank:
the arithmetic mean of a data set is the measure of center ______
Arithmetic mean is calculating average of data i.e adding all the value divided by total number of values.
So, Option A is correct option.
True or false that integers can be negative numbers
Answer:
true
Step-by-step explanation:
A 10-pound sack of flour costs $8. whats the cost per pound
Answer:
Your answer is 1.25 stay safe ❤.
Step-by-step explanation:
10÷8 = 1.25
Answer:
0.8
Step-by-step explanation:
8 / 10 = 0.8
2,4000,000 in standard form
Answer:
24 million
Step-by-step explanation:
24,000,000 if you put it porperly
The units are, Unit, Tens, Hundreds, Thousand, Ten-Thousand, Hundred-Thousand, Million, Ten million, Hundred million Billion and so on
Rewrite the fraction with a denominator of 12.
5/6
Number 3 plz really need help.
Answer:
40ft^2
Step-by-step explanation:
Hello There!
In this problem since we know that these are similar triangles we can set up a ratio in order to solve for the missing leg lenght, and then the areas.
This can be done by using the ratios and solving for x:
[tex]\frac{8ft}{12ft}[/tex] x [tex]\frac{4ft}{x}[/tex]
After this is done we find that the missing leg on the larger triangle is equal to roughly 6. With this in mind we find the area of the two triangles by multiplying the legs and dividing by 2, respectively.
The larger triangle will have an area of 72ft^2
the smaller triangle will have an area of 32ft^2
in order to find the difference in area we will simply subtract the two and find that the difference is equal to 40ft^2
Hope this helps
-HM
What equation is graphed in this figure?
y−4=−13(x+2)
y−3=13(x+1)
y+2=−3(x−1)
y−5=3(x−1)
Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through begin ordered pair negative one comma four end ordered pair and begin ordered pair one comma negative two end ordered pair
Answer:
C. [tex] y + 2 = -3(x - 1) [/tex]
Step-by-step explanation:
All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.
Thus, equation of in point-slope form is given as [tex] y - y_1 = m(x - x_1) [/tex].
Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{1 - 0} = \frac{-3}{1} = -3 [/tex]
Substitute (x1, y1) = (1, -2) and m = -3 into [tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-2) = -3(x - 1) [/tex]
[tex] y + 2 = -3(x - 1) [/tex]
The answer is C.
Need help ASAP ! Determine whether the following polygons are similar.
Answer:
they are not similar because you can't multiply both sides given by the same number to get the second polygon
Answer:
NO THEY arent
Step-by-step explanation:
if you were to multiply both, you wouldnt get the same answer also the scale factor isnt the same.
Find the zeros of each function. Part 3. Please show work.
1. f(x)= x^4 - x^3 - x^2 - x - 2
2. f(x)= x^3 - 8x^2 + 19x - 12
9514 1404 393
Answer:
real: -1, 2; complex: +i, -i1, 3, 4Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
__
2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
__
I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.
9514 1404 393
Answer:
real: -1, 2; complex: +i, -i
1, 3, 4
Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
__
2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).
3) g(x) = 4x
h(x) = -3x^2 + 4
Find (g + h)(x)
Answer:
The answer is the last line below.
Step-by-step explanation:
g(x) = 4x
h(x) = -3x^2 + 4
(g + h)(x) = 4x - 3x^2 + 4
Assume that there are two pairs of congruent triangles in the diagram
AROB = APTA
O True
O False
You are traveling in a car. Your speed is 50 miles per hour. What is your speed in feet per minute?
Answer:
4399.98 ft per min
Step-by-step explanation:
Divide 50 mi by 60 min = 0.83333Multiply this by 5280 = 4399.9824 ft per minSolve for x in angle bisector please
Answer:
x = 15
Step-by-step explanation:
Since, BX is the bisector of [tex] \angle BAC[/tex]
[tex]\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\
\therefore 24= \frac {1}{2}\times (4x - 12)\\\\
\therefore 24= \frac {1}{2}\times 2(2x - 6)\\\\
\therefore 24= (2x - 6)\\\\
\therefore 24 = 2x - 6 \\ \\
\therefore 24 +6 = 2x\\\\
\therefore 30 = 2x \\\\
\therefore x = \frac{30}{2} \\\\
\therefore x = 15
[/tex]