Step-by-step explanation:
10×10+24×24= third side ×third side
third side ×third side =100+576
third side × third side=676
third side=√676
third side=26
Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77
According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
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Find the limit:
lim e−9x sin x
x→0
Answer:
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x[/tex]
Step 2: Evaluate
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = e^\big{-9(0)} \sin(0)[/tex]Simplify: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find the
number x of three-person teams in the tournament.
An equation that represents this problem is
= 45
They can form
three-person teams.
Answer:
3x = 45
they can form 15 three-person teams
Step-by-step explanation:
45 / 3 = 15
1/3 plus 1/4 so what is the answer
Answer:
The answer is 7/12
Answer:
7/12
Step-by-step explanation:
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
what is 18,693.51 as 2dp
Answer:
What are u even talking about
Step-by-step explanation:
Tomaz realized that the tip of a second hand onna clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed
Answer:
юЙлвлалвоовлвулшуулвлаотааьдклаосьа
Answer: 90 degrees clockwise
Step-by-step explanation:
Too late, but this can be helpful to others. :D
Because a clock only moves clockwise, you can cut out the counterclockwise choices. That will help you find the answer easier.
BRAINLIEST! What is the slope of the line ?
Answer:
[tex]\displaystyle m=\frac{-4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (2, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{2+3}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-4}{5}[/tex]1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
will received a 2% increase in pay, He was making $1,190/biweekly.
a. How much was his raise?
b. How much is he making now?
Answer:
A: His raise was $23.8
B: He is making $1213.8
Step-by-step explanation:
Do 1190 divided by 100 and your answer will be
11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8
a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Will receive a 2% increase in pay, He was making $1,190/biweekly.
a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).
b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.
Learn more about the percentages here:
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Kaitlyn solved the equation 5y=15 and found answer to be y=75. In complete sentence or two, explain what kaitylns error was? What did she do wrong? What is correct answer? Show your work and explain reasoning
Answer:
3
Step-by-step explanation:
Instead of dividing, Kaitlyn multiplied both sides by 5. Divide both sides by 5 to get the y by itself and you get 3
Answer:
y=3
Step-by-step explanation:
She assumed y=75, but if y=75 then you would multiply 75×5 and that doesn't equal 15. To find y you would need to divide 5 from both sides. Therefore 15÷5 would be equal to y=3. Hope this helps!
Negative five-fourths times a number and six is less than twelve.
Answer:
-5/4x +6 < 12
Step-by-step explanation:
Find the product
5/8 of 24
A. 8
B.15
C.11
D.9
Answer:
15
Step-by-step explanation:
Megan bought 50 beads for a coast of $9.95. sakes tax on the beads was 6%. how much did she pay for the beads total?
Answer:
$10.52
Step-by-step explanation:
First, 9.95 × .06 = 0.6
Then you add 9.95 + 0.6
So the answer is $10.55
map of field: 12 in × 15 in
scale of map: 1 in = 3 ft
What are the dimensions
of the actual field?
Which number is not located in the correct set of numbers?
1
9
TT
25
160
I need help with #9 please
Answer:
some examples are 1, 2, 3, 4
what is the best estimate for the sum of fractions 5//6 and 5/8
Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041
The best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
We have to determine
What is the best estimate for the sum of fractions 5//6 and 5/8?
Sum of fraction;The addition of Fractions depends on one main factor which is the denominator of the fraction to be added.
There are different ways to add them depending on whether the denominators of the fractions to be added are like or unlike.
The sum of the fraction 5//6 and 5/8 is;
[tex]\rm= \dfrac{5}{6}+\dfrac{5}{8}\\\\=\dfrac{5\times 8+5\times 6}{48}\\\\= \dfrac{40+30}{48}\\\\=\dfrac{70}{48}\\\\=\dfrac{35}{24}[/tex]
Hence, the best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
To know more about fractions click the link given below.
https://brainly.com/question/1301963
what is 7/8 days in hours
-1>2.5 true or false
Answer:
false
Step-by-step explanation:
-1 is negative hvxdshvxjshvxhsdvxhjvsdhjx wdvx dwvjxvhwdjvxhjdwvxjgvdexhjvdshxvdsjhxvhdjsvxhds
HELP ME PLS ASAP PLS PLZ
Answer:
11.5x 4.5-8 wayy easier all you do is add and multiply
Marcy goal was to collect 10 cans of food for a local food bank. She collected 160 cans use the grid to model to understand how to write this as a ratio, a fraction
Answer:
We're told that Marcy collected 160 out of 10 cans. That could be expressed as 160/10, but given that the numerator and denominator are both divisible by 10, we can factor that out and express it as 16/1. You can also express it as ratio of 16:1 cans collected to cans intended.
Answer:
As a ratio, this is expressed as
✔ 160 to 100
As a fraction, this is expressed as
✔ 160/100
As a percent, this is expressed as
✔ 160%
Step-by-step explanation:
I just did it!
what's is the magnitude of vector i+j+k
Need help with this question
Answer:
your answer will be option C
Step-by-step explanation:
hope this helps ^_^
What is the area of this figure?
Answer:
806.5 in ^2
Step-by-step explanation:
Separate into 3 figures: rectangle, trapezoid, and triangle
Rectangle:
A = 16*9
A = 144
Trapezoid:
A = ((16+31)/2)*15
A = 352.5
Triangle:
A = (31*20)/2
A = 310
TotalArea:
144+352.5+310
A = 806.5 in^2
2/5 meters into centimeters
Without graphing, compare the slopes and the intercepts of the
graphs of the functions f(x) = x + 1 and g(x) = f(2x).
Answer:
graph f(x) passes through the y-axis at 1:00 whereas g(x) passes through the origin.
Given that R = 6x + 9y
Find y when X = 1 and R= 39
Give your answer as an improper fraction in its simplest form.
y=
Answer:
11/3
Step-by-step explanation:
x=1, R=39, y=?
R=6x + 9y
(substitute the parameters into the equation)
39=6(1) + 9y
39= 6 + 9y
(collect like terms)
39 - 6 =9y
33=9y
(divide both sides by 9)
33/9=9y/9
11/3=y
therefore, y= 11/3
7. A restaurant owner wants to see if there is a relationship between the amount of
sugar in some food items on her menu and how popular the items are.
She creates a scatter plot to show the relationship between amount of sugar in menu
items and the number of orders for those items. The correlation coefficient for the
line of best fit is 0.58.
a. Are the two variables correlated? Explain your reasoning.
b. Does either of the variables cause the other to change? Explain your reasoning.
Answer:
a) Yes, the two variables correlated
b) Yes, variation of sugar changes the number of orders for item containing sugar
Step-by-step explanation:
a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7
b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.