Answer:
x = 6
Step-by-step explanation:
I'm not sure if it's correct
We need 14 feet of casing to put along all four sides of a rectangular window. If the length of the window is 4 feet , find the width .
Complete the sentences to compare the functions.
The range of f1(00) is
The domain of f(x) is
The minimum of f(x) is equal to the
What is the complete factorization of the trinomial x^2-8x+16?
A.
(x – 4)(x – 4)
B.
(x – 2)(x + 8)
C.
(x – 1)(x – 16)
D.
(x + 4)(x – 4)
Answer:
A. (x-4)(x-4)
Step-by-step explanation:
Note that (x+a)(x+b)=x²+(a+b)x+ab.
Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.
Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).
We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.
So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).
32 is 4 more than twice a number. What is the number?
An engineering scale model shows a church that is 2 inches tall. if the scale is 1 inch = 256 feet, how tall is the actual church
Answer:
Actual height of church = 512 feet
Step-by-step explanation:
Given:
Scale model;
1 inch = 256 feet
Height of church (Scale model) = 2 inches
Find:
Actual height of church
Computation:
Actual height of church = Height of church (Scale model) x scale length
Actual height of church = 2 inches x 256 feet/inches
Actual height of church = 2 x 256 feet
Actual height of church = 512 feet
11. Find the sum
2 1/2 + 1 3/4=
Answer:
It should be 4.25.
Please someone help Im confused
Answer:
Third one
Step-by-step explanation:
;b
you pick random 6,7,8,9 what is P(9)
Step-by-step explanation:
There are a total of 4 numbers to pick.
P(9) means is the probability of you picking the number 9.
Since you are only picking one number, the probability will be 1/4 or 0.25
-2 (x + 3) i need help... do your thing
Answer: -3
-2x-6=0
-2x=6
x=-3
Step-by-step explanation:
Find the area of the parallelogram
Answer:
513
Step-by-step explanation:
B×L=Area
Base=24
Length =19
24×19=513
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Which expression represents the second partial sum for...
2(0.4) + 2(0.4)
2(0.4)2 + 2(0.4) 3
2 + 2(0.4)
0 + 2(0.4)
Answer:
C. 2+2(0.4)
Step-by-step explanation:
on edg.
I need help please
I’m desperate
Answer:
Volume = 2880m²
Surface area = 1632m²
Step-by-step explanation:
The prism shown is a triangular prism
The volume of the prism can be found by multiplying the area of the base by the length of the prism
The base being a triangle.
The area of a triangle can be calculated by using this formula
[tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The base length of the particular triangle is 12 m and the height is 16
That being said we plug in the values into the formula
[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]
Hence the area of the base is 96 square meters
Finally we multiply the area of the base by the length of the prism ( which is 30 m )
So volume = 96 * 30
96 * 30 = 2880
Hence the volume of the triangular prism is 2880m²
Now to find the surface area
Kindly check the image below for information on the formula for surface area of a triangular prism
Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]
where b = base length
h = height of base
L = length of prism
S1 also = base
S2 = base height
S3 = slant height of base
The shown triangle has the following dimensions
b = 12
h = 16
L = 30
S1 = 12
S2 = 16
S3 = 20
Now that we have identified each dimension, we plug in the values into the formula
[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]
So we can conclude that the surface area of the triangular prism is 1632m²
Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.
Answer:
you did not post a question?
Step-by-step explanation:
The diameter of a circle is 14cm. Which TWO statements are correct?
A
Answer:
(a) and (e)
Step-by-step explanation:
Given
[tex]d = 14cm[/tex]
Required
Select the true statements
First, is a statement about the area.
The area is calculated as:
[tex]Area= \pi*\frac{d^2}{4}[/tex]
So, we have:
[tex]Area= 3.14*\frac{14^2}{4}[/tex]
[tex]Area= 3.14*49[/tex]
(a) is true
Next, is a statement about the circumference.
This is calculated as:
[tex]C = \pi d[/tex]
So, we have:
[tex]C = 3.14 * 14[/tex]
(e) is true
You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%
HELP ASAP!!! I’m very confused and I need help. Thank you!!!!
Answer:
Triangle 2: 7, 24 and 25.
Step-by-step explanation:
To find the triangle with its dimensions being that of a right angle triangle;
We would have to apply Pythagorean' theorem.
Let the length of sides of the triangle be;
Opposite side = a
Adjacent side = b
Hypotenuse side = c
From Pythagorean theorem;
c² = a² + b²
When a = 7, b = 24 and c = 25
25² = 7² + 24²
625 = 49 + 576
625 = 625
This ultimately implies that, the square of the hypotenuse of a right angle triangle is equal to the sum of the square of its opposite and adjacent sides according to Pythagorean' theorem.
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
HELP ME PLEASEEEEEEEEEEE
Answer:
4 root 10 is the first unit
Step-by-step explanation:
okey so step by step now
first put distace formula
then put values accordingly
you get,(12^2+4^2)keep in under root 2
u get[tex]\sqrt{160\\[/tex]
solve it ur answer is[tex]\sqrt[4]{10}[/tex]
What equation is equivalent to 9^x - 3 = 729?
Answer: 9^(x-3) = 9^3
Step-by-step explanation:
Realizing that 729 = 9^3, we can rewrite the equation ...
9^(x -3) = 729
as ...
9^(x -3) = 9^3 . . . . . . matches the second selection
__
Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.
(3^2)^(x -3) = (3^2)^3
3^(2x-6) = 3^6
or, taking the square root, ...
3^(x -3) = 3^3
None of these forms match any answer choices.
_____
The solution will be found by matching exponents:
x -3 = 3
x = 6
The function f(x) = 600(0.981)x, where x is the time in years, models a declining lemming population How many
lemmings will there be in 3 years?
A.about 566
B.about 1,803
C.about 1,766
D.about 601
Answer:
The answer for this question is:
About 566 lemings
Step-by-step explanation:
Answer:
A.about 566
Step-by-step explanation:
Which of the following exponential functions represents the graph below?
Answer:
d
Step-by-step explanation:
Maria's earns $1700 per month and gets a commission rate of 15% of the jewelry she sells. If she sold $23000 worth of jewelry this month, what is her montly earnings?
Answer:
$5150
Step-by-step explanation:
1700+0.15(23000)
$5150
Find the least common denominator between the two fractions. 1/4 and 5/3
Answer:
i think that the correct answer is 12 for the least common denominator
suppose f(x)=x^2 g(x)=4x^2. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4
b. the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4
c. the graph of g(x) is the graph of f(x) shifted 4 unites left
d. the graph of g(x) is the graph of f(x) vertically compressed by a factor of 4
Answer:
a. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4
Step-by-step explanation:
See attached image.
Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years
A. A=16,100 (1.001)^7t; $17,469
B. A=16,100 (1.1)^12t; $6,766,377,209
C. A=16,100(1.001)^12t; $17,510
D. A=16,000(0.001)^12t; $24,150
Answer:
The answer to this question is:
A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]
The balance after 7 years will be $17409.
How to calculate the compound interest if it is compounded monthly?Let, P = the principle amount
r = the rate of interest, compounded monthly
t = the time period
Therefore, the amount will be
[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]
Given, the invested amount is $16000.
The rate of interest is 1.2%, compounded monthly.
Total duration of investment is 7 years.
Therefore, the model function of this compound interest is:
= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]
The amount will be
[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]
Therefore, after 7 years, the amount will be $17409.
Learn more about compound interest here: https://brainly.com/question/22739288
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50 POINTS!!!
A spinner is divided into 4 equal sections numbered 1 to 4. The theoretical probability of the spinner stopping on 3 is 25%. Which of the following is most likely the number of 3's spun in 10,000 spins?
1,367
2,400
2,538
3,108
PUT SOLUTION AND STEPS PLS
To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.
Answer:
third one 2538
Step-by-step explanation:
it is the closest because 25% of 10,000 is 2500, the closest number to 2500 is 2538Which function is decreasing on the same interval as the function graphed here?
The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.
What does it mean for a function to be decreasing?
When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.
That is when x1 < x2 then f(x1) ≥ f(x2)
What is the Proof of the above?Let F(x) = 4
Thus
f(4) = -(4)² + 4(4) -4
= 16 + 16 - 4
= 28
Now, let F(x) = 2
Thus
f(2) = -(2)² + 4(2) -4
= 4 + 8 - 4
= 8
Note that X1 = 4 and X2 = 2
Thus x1 < x2 then f(x1) ≥ f(x2).
Hence Option C is the decreasing function.
Learn more about decreasing functions at;
https://brainly.com/question/13157110
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I need a word problem for 4 divided into 1/2 will give bwainliest
Please help me with this???
Answer:
X=3
Step-by-step explanation:
Since all the sides of a square are equal, hence;
5x-2 = x+10
Collect like terms
5x-x = 10+2
4x =12
X = 12/4
X =3
Hence the value of x is 3