Step-by-step explanation:
[tex] \frac{ {4}^{7} }{ {4}^{6} } [/tex]
= 4
.......
Consider these similar triangles were ALMN - ARSN.
What is the length of x?
Answer:
x = 15
Step-by-step explanation:
48/12 = 4
60/4 = 15
Essentially, find the growth rate and divide the larger number by that number, or if you were given the smaller number (15), you would simply need to multiply 15 by 4 to find 60.
-5t^2+10t+22 does the ball reach a height of 35m
Answer:
Step-by-step explanation:
35=-5t²+10t+22
5t²-10t+13=0
disc =b²-4ac=(-10)²-4×5×13=100-260=-160<0
t is imaginary.
So ball never reaches a height of 35 m
Rafael can choose plan a or Plan B for his long-distance charges. For each plan, cost (in dollars) depends on minutes used (Per month) as shown below.
Answer:
a. Plan B; $4
b. 160 mins; Plan B
Step-by-step explanation:
a. Cost of Plan A for 80 minutes:
Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:
f(80) = 8
This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.
Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.
Plan B will cost $12.
Therefore, Plan B cost more.
Plan B cost $4 more than Plan A ($12 - $8 = $4)
b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.
At 160 minutes, they both cost $16
The plan that will cost less if the time spent exceeds 160 minutes is Plan B.
Evaluate 26 + a if a = 8.
Answer:
34
Step-by-step explanation:
26 + 8 = 34
insert 8 into the equation where a is and add.
Find AB if A(-1,7) and B (11, -1). Round your answer to the nearest tenth.
Answer:
The answer is 14.4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-1,7) and B (11, -1)
The distance between them is
[tex] |AB| = \sqrt{( { - 1 - 11})^{2} + ( {7 + 1})^{2} } \\ = \sqrt{ ({ - 12})^{2} + {8}^{2} } \\ = \sqrt{144 + 64} \: \: \: \: \: \: \: \\ = \sqrt{208} \\ = 4\sqrt{13} \\ =14.42220510...[/tex]
We have the final answer as
14.4 units to the nearest tenthHope this helps you
Maggie is participating in her school reading challenge. She read 18 of the total 25 books. Wh
percent of books did she read?
Answer:
The answer is 72
what is one x 1 divided by 1
Answer:
1?
Step-by-step explanation:
Overview
Question Progress
Homework Progress
12756
Which 2 grids have 25% shaded?
b)
a)
d)
Introduction to Percentages
View One Minute Version
Overview
Answer:
7
Step-by-step explanation:
Write the prime factorization of the number.
1: 42
2: 50
3: 66
{6 + [(3 * 2) - (2 * 2)]} ÷ 2
Geom_CQA1_20-21
Question: 1-5
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point P that divides MN such that MP : PN is equal to 2: 1?
(-3.5, 2.5)
(-2,2)
(-1, 1)
(0,0)
Answer:
The coordinates of the point P is (0,0)
Step-by-step explanation:
Here, we want to find the coordinates of point P which divides the segment MN in the ratio 2 to 1.
Mathematically, what we shall use here is the internal division formula;
The internal division formula is given as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
From the question;
x1 = -4
x2 = 2
y1 = 4
y2 = -2
m = 2
n = 1
By substituting, we have;
(1(-4) + 2)2))/(1 + 2) , (1(4) + 2(-2))/(1+2)
= (-4 + 4)/3 , (4-4)/3
= (0,0)
878 divided by 26 solve it
Answer:
33.7692307692 or for it to be rounded, 34 or 33.8
Step-by-step explanation:
Answer:
439/13
Step-by-step explanation:
Find the distance between the points (0, 2) and (4, 5).
Answer:
it's going to be 5
Step-by-step explanation:
Write a linear equation with a slope of 14 and y-intercept -12.
Answer:
y=14x-12
Step-by-step explanation:
in the standard format y=mx+b, m is the slope and b is the y-intercept, so this equation would be y=14x-12 since the slope is 14 and the y-intercept is -12.
One week, Sarah earned $192.00 at her job when she worked for 8 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $408.00?
Answer:
17
Step-by-step explanation:
Hudson has a balance of -$12.50 in his bank account. Daniel has a balance of $6.25 in his bank account. Use absolute value to find the difference between their balances.
Answer:
The absalute value is $6.25 because $12.50-$6.25=$6.25 and thats how much daniel has in his bank account.
Answer:
$18.75
Step-by-step explanation:
6.25 - negative 12.50 = 18.75
which is greater 8.7 or 8.5
8.7 is greater than 8.5 because the 7 is more than the 5 and the number 5 is less. Hope this helps :)
5x + 10 > 35
How do you work this out?
Answer:
[tex]x > 5[/tex]
Step-by -step explanation:
Solving inequalities is similar to solving equations.
[tex]5x + 10 > 35[/tex]
Subtract 10 from both sides.
[tex]5x > 25[/tex]
Divide by 5 from both sides to isolate the x.
[tex]x > 5[/tex]
Step-by-step explanation:
[tex]5x + 10 > 35 \\ \: 5x > 35 - 10 \\ 5x > 25 \\ x > 5[/tex]
Please help ASAP! Will give brainleist Thank you!
Answer:
b,d,e,g
Step-by-step explanation:
what is 3/4f-4g+8 how many terms
Answer:
0 = 2f + 3g + 4f + -4g + 8
Step-by-step explanation:
Evaluate f(x) = X(With an exponent of 2) -3x +2, given f(x + 1).
Answer:
f(x + 1) = x² - x
Step-by-step explanation:
f(x) = x² - 3x + 2 when f(x + 1)
f(x + 1) = (x + 1)² - 3(x + 1) + 2
f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2
f(x + 1) = x² - x + 0
f(x + 1) = x² - x
Best of Luck!
Abdul was scuba diving 76 feet below the surface of the ocean. To get a closer look at a school of fish, he swam up 28 feet
Answer:
He is at 48 feet below the surface
Step-by-step explanation:
76-28= 48
Answer: -48 ft.
Step-by-step explanation: -76+28= -48
A recipe calls for 4 cans of 12.6 oz of chicken broth. how many ounces of chicken broth does the recipe require? A. 3.15. B. 8.6 C. 16.6 D 50.4
Answer:
50.4
Step-by-step explanation:
Answer:
Yes, The correct answer is 50.4 oz
Step-by-step explanation:
I only paid $69.65 for my new helmet as it was on sale for 30% off! How much would I have paid if it wasn't on sale?
Answer: $48.76
Step-by-step explanation:
69.65 * .30 = 20.89
69.65 - 20.89 = 48.76
Answer:
I think it is 90.545
Step-by-step explanation:
It may or may not be correct btw
6.99 x 10^2 in standard form
What is
1. -2(n-9)+4
2. 6x - (2 - 3x)
Answer:
1) -2n + 22
2) 9x - 2
Step-by-step explanation:
1. -2(n-9)+4
-2n + 18 + 4
-2n + 22
2. 6x - (2-3x)
6x - 2 + 3x
9x - 2
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
***(just need equations)***
Answer:
Madelyn bought 2 bags of popcorn and 8 pretzels.
Step-by-step explanation:
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of pretzels}
the number of pretzels
One bag of popcorn costs $6.50, so xx bags of popcorn cost 6.50x.6.50x. One pretzel costs $3.25, so yy pretzels cost 3.25y.3.25y. The total 6.50x+3.25y6.50x+3.25y equals \$39:$39:
6.50x+3.25y=39
6.50x+3.25y=39
Since Madelyn bought 4 times as many pretzels as bags of popcorn, there are more pretzels, so if we multiply 4 by the number of bags of popcorn, we will get the number of pretzels, meaning yy equals 4x.4x.
y=4x
y=4x
\underline{\text{Write System of Equations:}}
Write System of Equations:
6.50x+3.25y=
6.50x+3.25y=
\,\,39
39
y=
y=
\,\,4x
4x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
6.50x+3.25y=39
3.25y=−6.50x+39
3.25
3.25y
=
3.25
−6.50x+39
y=−2x+12
y=4x
0
the number of bags of popcorn
the number of pretzels
x
y
(2, 8)
0
the number of bags of popcorn
the number of pretzels
The xx variable represents the number of bags of popcorn and the yy variable represents the number of pretzels. Since the lines intersect at the point \left(2, 8\right)(2,8) we can say:
Madelyn bought 2 bags of popcorn and 8 pretzels.
What is the Product of Roots of 2x^2+4x+7=0?
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ), then
the product of the roots = [tex]\frac{c}{a}[/tex]
2x² + 4x + 7 = 0 ← is in standard form
with a = 2, c = 7 , thus
product of roots = [tex]\frac{7}{2}[/tex]
Answer:
x=[tex]\frac{-2±\sqrt[i]{10} }{2}[/tex]
Step-by-step explanation:
pls ignore the "A" after -2! i hope this helps <3
A recent school survey found that 8 out of 11 students plan to go to college after graduating high school. At that rate, how many of the 1950 students at the local high school plan to go to college
Answer: 1,418.1882
Step-by-step explanation:
Answer:
1418 students.
Step-by-step explanation:
point) Arrange the four numbers shown in order from least to greatest. 6.7% 0.67 6.7 x 10-3 6/9
Answer:
I'm pretty sure the answer is: 6.7 x 10^-3, 6.7%, 6/9, 0.67.
Step-by-step explanation:
Convert everything into decimal form.
6.7 x 10^-3 = 0.0067
6.7% = 0.067
6/9 = 0.66... (repeating decimal)
0.67 = 0.67 (already a decimal)
Once you have converted your numbers into decimals then you can compare them from least - greatest.