Answer:
a) 120
b) 6
c) 1/20
Step-by-step explanation:
a) 5! = 120
b) (5 - 2)! = 6
c) 6/120 = 1/20
Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8
Answer:
No solution
Step-by-step explanation:
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.
plz help verbal expression
Answer:
3(9+r) = 27 + 3r
Sum = addition
Distributive property
pythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
find the inverse of f(x)=x^2-3x+2
Answer:
Step-by-step explanation:
y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]
Answer:
Step-by-step explanation:
f(x) = x² - 3x + 2
y = x² - 3x + 2
solve for x as a function of y
y - 2 = x² - 3x
complete the square by adding the square of half the x¹ coefficient to each side of the equation.
y - 2 + (-1.5)² = x² - 3x + (-1.5)²
y + 0.25 = (x - 1.5)²
[tex]\sqrt{y + 0.25}[/tex] = x - 1.5
x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]
now swap the x and y variables and revert to function notation
f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex] domain is x ≥ -0.25
each input will have two outputs except where f(-0.25) = 1.5
ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!!!!
Write an equation involving absolute value for the graph.
Answer:
-3<lxl<5
Step-by-step explanation:
take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid
For what value of x does 32X – 9^3x-4?
Answer: X = 4/61
Step-by-step explanation
is 7 a solution to 21-w<14?
(please answer asap!)
Answer:
no
Step-by-step explanation:
well, is 21-7 < 14?
Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please
Answer:
15 marker's
Step-by-step explanation:
37+24=61
61÷4=15.25
because she wants an even number of makers the answer is 15.
What is the exponential expression for the numerical expression 6·6·6·6·6? 5·6^5 5^6. 6^5. 30^5
32 POINTS
Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail
Answer:
3 hours
Step-by-step explanation:
PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3
Problem 1
Answer: Choice A[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]
---------------------------
Explanation:
The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.
a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to yearThe 1.08 represents an increase of 8% because,
1.08 = 1 + 0.08 = 100% + 8% = 108%
=======================================================
Problem 2
Answer: Choice C[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]
---------------------------
Explanation:
The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.
=======================================================
Problem 3
Answer: Choice C30 feet; major axis
---------------------------
Explanation:
Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.
Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)
Write the equation for the function graphed below
Answer:
Step-by-step explanation:
looks to be a parabola, so use vertex mode (h, k) = (-1, 2)
y = a(x - h)² + k
y = a(x + 1)² + 2
another point on the curve seems to be (1, 6)
6 = a(1 + 1)² + 2
1 = a
y = (x + 1)² + 2
or expand for standard form y = ax² + bx + c
y = (x² + 2x + 1) + 2
y = x² + 2x + 3
The sum of three consecutive even numbers is 36. What is the smallest numbers ?
Answer:
The numbers are 11,12,13
The smallest number is 11
Step-by-step explanation:
Let the first number be x
The next number is x+1
The third number is x+2
x+x+1+x+2 = 36
Combine like terms
3x+3 = 36
Subtract 3 from each side
3x+3-3 = 36-3
3x=33
Divide each side by 3
3x/3 = 33/3
x=11
The numbers are 11,12,13
The smallest number is 11
Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?
Answer:
6 hours
Step-by-step explanation:
FInding Holly's time of Ella's
Ella = [tex]1 \frac{3}{5}[/tex]
Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
Solve:
[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]
[tex]1\frac{3}{5} =\frac{8}{5}[/tex]
[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]
[tex]\frac{24}{20} =\frac{6}{5}[/tex]
Now, we can find how many hours it takes holly to complete 5 paintings:
[tex]\frac{6}{5}\times5[/tex]
[tex]=6[/tex]
Therefore, it will take Holly 6 hours to complete 5 paintings.
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
Answer:
12
Step-by-step explanation:
*Write each expression*
4) the difference of five and a number w
5) double a number
6) the sum of seventeen and a number y
7) twelve less than the product of m and two
8) eleven less a number
Answer:
5-w
2n
17+y
2m-12
n-11
(n stands for number)
three movie tickets cost 36$ at this same rate how much do 12 tickets cost
Answer:
$144
Step-by-step explanation:
Each ticket is $12.
A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)
Check the picture below.
let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]
[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]
How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34
Given dataPrincipal =?
Final amount = $20,000
rate = 4.75%
Time = 20 years
First, convert R as a percent to r as a decimal
r = R/100
r = 4.75/100
r = 0.0475 per year,
Then, solve the equation for P
P = A / (1 + r/n)^(nt)
P = 20,000.00 / (1 + 0.0475/12)^(12)(20)
P = 20,000.00 / (1 + 0.003958333)^(240)
P = $7,749.34
Learn more about Compounding interest at:
https://brainly.com/question/1570054
What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy
What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?
Answer:
1
Step-by-step explanation:
First, find out what the product would be if you multiply 20 with the fraction:
(3 * 20)/5 = 60/5 = 12
12 = 12 ∴ (3/5)(20) = 12
As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.
Do both of them for 50 points
Answer:
1) 7/12, 2) 7/24
Step-by-step explanation:
Just plug in the values of c and d.
1) given: c = -1 1/4, d = -1
1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12
(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).
2) given: c = 4 1/4, d = 1 1/2
1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24
(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)
What are the prime numbers out of 4 5 6 7 8 9 ?
.. Write the number word of 0.036???
Answer:
zero point zero three six
Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
hi the answer to your question should be 50 miles
Step-by-step explanation:
hope this helps have a great day!
A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours
Answer:400
Step-by-step explanation:
150 / 3 = 50 so 50 x 8= 400
Y=1/3x-4 + Y=-7/3x+4
Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
3. The length of a rectangle is 20 meters long and the width is 15 meters. Find the
ratio of the length to the width of the rectangle. Then simplify the ratio.
Answer:
4/3 1.333 1 1/3
Step-by-step explanation:
what is most likely to be represented by the number -40
Answer:
You tell me the question properly and i will edit this and put answer
Step-by-step explanation:
Until then bye
Answer:
Read Explanation Below
Step-by-step explanation:
So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)
1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.
