Answer:
see below.
Step-by-step explanation:
letting u = x - 4 means the equation can now be expressed as a quadratic
u² - u - 6 = 0 ← quadratic equation in u
Answer: (D)
Step-by-step explanation:
its algebra just forgot how to do the work please do the work 50 points
Answer:
Step-by-step explanation:
f(2) = 6 (what multiplies 2 to equal 6?)*2 = 6
It seems like x gets multiplied by three. Let's check the next one:
f(-1) = -3
Ah ha! We were right. Let's check one more time:
2 * 3 = 6
-1 * 3 = -3
f(x) just means what is f when x is any number. This function that we covered above is: f(x) = 3x
volume of cone with 18mi height and 18mi diameter
Answer:
4580.442
Step-by-step explanation:
the closest answer I can fight
What number is 20% of 50
Answer:
10
Step-by-step explanation:
50*0.2 = 10
Step-by-step explanation:
20%×50
use p% =P
10
200× 50
100
1×5= 50
Answer= 10
If $g(x) = 3x + 7$ and $f(x) = 5x - 9$, what is the value of $f(g(8))$?
Question:find x in ABC
Answer:
No answer but give me answer
What is -3.21 - x = 0?
Answer:
-3.21 - x = 0
-x - 3.21 = 0
x = 3.21
help for brainlist :)
Answer:
y = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
6x - 3y = - 7 → (1)
2x + 3y = - 9 → (2)
multiplying (2) by - 3 and adding to (1) will eliminate x
- 6x - 9y = 27 → (3)
add (1) and (3) term by term to eliminate x
0 - 12y = 20
- 12y = 20 ( divide both sides by - 12 )
y = [tex]\frac{20}{-12}[/tex] = - [tex]\frac{5}{3}[/tex]
97 is what percent of 837? Round to the nearest whole #
if we take 837 as the 100%, what is 97 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 837&100\\ 97&x \end{array}\implies \cfrac{837}{97}=\cfrac{100}{x}\implies 837x=9700 \\\\\\ x=\cfrac{9700}{837}\implies x\approx 11.59[/tex]
He percentage of defective chips produced each hour by oven A has a mean of 33. 56 and a standard deviation of 5. 20. The percentage of defective chips produced each hour by oven B has a mean of 32. 44 and a standard deviation of 3. 78. The hourly differences in percentages for oven A minus oven B have a mean of 1. 11 and a standard deviation of 4. 28. Does there appear to be a difference between oven A and oven B with respect to the mean percentages of defective chips produced
Using the z-distribution, as we have the standard deviation for the population, it is found that it does not appear that there is a difference.
What are the hypothesis tested?At the null hypothesis, it is tested that there is no difference, that is, the mean of the distribution of the differences is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, hence:
[tex]H_1: \mu \neq 0[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which:
[tex]\overline{x}[/tex] is the mean of the distribution of differences.[tex]\mu = 0[/tex] is the value tested at the null hypothesis.s is the standard error.In this problem, the parameters are as follows: [tex]\mu = 1.11, s = 4.28[/tex].
Hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
[tex]z = \frac{1.11 - 0}{4.28}[/tex]
[tex]z = 0.26[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05, the critical value is of [tex]|z^{\ast}| = 1.96[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, that is, it does not appear that there is a difference.
To learn more about the z-distribution, you can check https://brainly.com/question/26454209
What is the Equation/how do you solve for this?
Answer:
b= 58°
Step-by-step explanation:
32° +b +90°= 180° (adj. ∠s on a str. line)
b +122°= 180°
b= 180° -122°
b= 58°
What is adj. ∠s on a str. line?
an abbreviation for 'adjacent angles on a straight line'the sum of all the angles on a straight line is 180°Where did the 90° come from?
The small square in the question denotes that the angle is a right angle, or 90°If the ratio of boys to girls is 3 : 11 and there are 66 girls in the play, how many students are boys?
Answer:
18 boys
Step-by-step explanation:
boys/girls = 3/11 = b/66
3/11 = b/66
11b = 3 × 66
b = 3 × 6
b = 18
There are 18 boys.
A basketball team scored 50 points in the first game, and 60 in the second game. How many points did the team in the third game if their mean scores for the 3 games was 51 points?
Answer:
43 points
Step-by-step explanation:
(50 + 60 + x) / 3 = 51
(110 + x) / 3 = 51
110 + x = 153
x = 43
50 POINTS | What is the minimum range for the value of z? Fill in the blank
__ < z < 17/3
Both sides are equal
[tex]\\ \rm\longmapsto 4z-6=z+11[/tex]
[tex]\\ \rm\longmapsto 4z-z=17[/tex]
[tex]\\ \rm\longmapsto 3z=17[/tex]
[tex]\\ \rm\longmapsto z=17/3[/tex]
Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =
Step-by-step explanation:
how many -4 are there
Answer:
Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =
Step-by-step explanation:
Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =
An equilateral triangle has an apothem measuring 2. 16 cm and a perimeter of 22. 45 cm. An equilateral triangle has an apothem with length 2. 16 centimeters and a perimeter of 22. 45 centimeters. What is the area of the equilateral triangle, rounded to the nearest tenth? 2. 7 cm2 4. 1 cm2 16. 2 cm2 24. 2 cm2.
The area of the considered equilateral triangle is given by: Option D: [tex]24.2 \: \rm cm^2[/tex]
What is apothem?For a regular polygon (a polygon with all sides of same measure), the line segment drawn from the center of the polygon to the mid point of a side of the polygon is called apothem.
Referring to the attached figure below, for the considered case, we're given that:
The perimeter of the considered equilateral triangle is 22.45 cmThe length of the apothem = 2.16 cmSince all sides of an equilateral triangle are same, let they be of 'x' cm length for this case, then:
[tex]Perimeter = x + x + x = 22.45\\\\x = \dfrac{22.45}{3} \approx 7.48 \: \rm cm[/tex]
Since the equilateral triangle has all same sides, all three triangles AOC, AOB, and BOC are congruent and have same area.
The area of ABC = Area of AOC + Area of AOB + Area of BOC = 3 × Area of AOC
The area of AOC = half of base times height. The height is length of the apothem since because of symmetry in right and left of the apothem, it is standing with equal angle on both sides of AC, thus, half of straight line angle, therefore of 180/2 = 90 degrees, thus, perpendicular.
Area AOC = [tex]\dfrac{1}{2} \times |AC| \times |OD| \approx \dfrac{1}{2}{ \times 7.48 \times 2.16 \approx 8.078\rm \: cm^2[/tex]
Thus, area of ABC = 3 × Area of AOC = [tex]3 \times 8.078 \approx 24.2 \rm \: cm^2[/tex]
Thus, the area of the considered equilateral triangle is given by: Option D: [tex]24.2 \: \rm cm^2[/tex]
Learn more about apothem here:
https://brainly.com/question/10580427
PLS HELPPPPPPP
HELPPP SAVE MY LIFE
Jack has 15 books. In how many ways can he arrange 12 of them on a shelf if a particular book must be on the shelf?
Answer:
(1 group of 12 books),(6 groups of 2),(2 groups of 6), (4 groups of 3),(3 groups of 4).( If this is correct please mark me brainly ty (^^)
What is the equation of the line of best fit for the following data? Round the
slope and yintercept of the line to three decimal places.
Answer:
The answer that best fits the graph is C
Hope this helps! Have a great day/night!
Are the graphs of the equation 3y = - 4x + 6 and y = - ¾ x - 5 parallel , perpendicular , or neither ?
Answer:
Step-by-step explanation:
A large aquarium of water that holds 225 liters of water is about to be emptied. If the aquarium empties out at a constant rate of 15 liters per minute, how much water will be left in 5 minutes?
HELP PLEASE FOR BRAINLEST
Answer:
3/13
Step-by-step explanation:
Put the total number that tapped the ground AND 5/10 worms (which is 3) over the total number which is 13
so 3/13 which doesn't simplify
hope this helped :)
which statement is true about the graphs shown
Only graph A represents a proportional relationshi
Golygraph represents a proportional relationship
Graph A and graph both represent a proportional relationship
Graph and goh both representa non proportional relationships
BRAINY REWARD!!Help me pls.
Answer:
A [tex]1.3 - 5.6 = - 4.3[/tex]
Step-by-step explanation:
[tex]1.3 - 5.6 = - 4.3[/tex]
Hope this helps! Pwease mark me brainliest! Have a great day!
−xXheyoXx
Answer:
just answering so you can give the other person brainliest :D
Step-by-step explanation:
Please help me with my homework.
My question is:
[tex]\mathrm{(x+3)^{5} }[/tex]
Please help ASAP!
No spam!
Step-by-step explanation:
is the same as
[tex]x^5 + 3^5\\x^5 + 243[/tex]
Does that make sense
please mark brainest
Given expression :
[tex]{\qquad \sf \dashrightarrow{ (x+3)^{5} } }[/tex]
We need to simplify it.
We can write the expression as,
[tex]{\qquad \sf \dashrightarrow{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ (x+3)^{2} }{ (x+3)^{2} }{ (x+3)^{} }}[/tex]
We know that,
[tex]{\qquad \sf \dashrightarrow{ (a+b)^{2} } = {a}^{2} + 2ab + {b}^{2} }[/tex]
Now, using the formula in the expression:
[tex]{\qquad \sf \dashrightarrow{ (x {}^{2} + 2x.3 +3^{2}) }{ (x {}^{2} + 2x.3 +3^{2}) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ (x {}^{2} + 6x +9) }{ (x {}^{2} + 6x +9) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ ( {x}^{4} + 6 {x}^{3} + 9 {x }^{2} + 6x {}^{3} + 36 {x}^{2} + 54x + 9 {x}^{2} + 54x + 81 ) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ ( {x}^{4} + 12{x}^{3} + 54 {x }^{2} + 108x + 81 ) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: {x}^{5} + 12 {x}^{4} + 54 {x}^{3} + 108 {x}^{2} + 81x + 3 {x}^{4} + 36x {}^{3} + 162 {x}^{2} + 324x + 243 }}[/tex]
Adding the like terms we get :
[tex]{\qquad \sf \dashrightarrow{ \: {x}^{5} + 15 {x}^{4} + 90 {x}^{3} + 270 {x}^{2} + 405x + 243 }}[/tex]
Multiply 10 by a, then raise the result to the 5th power.
Answer:
it would just be 10a^5 since we dont know what a is
Step-by-step explanation:
Answer:
10a^5
To solve this problem, we first have to look at what we know and what we don't know.
We know we have to multiply 10 by a and then raise the result to the 5th power.
We don't know the value of a.
That means we just have to solve what we can.
10 x a = 10a
10a to the 5th power is 10a^5
expand and simplify x(x-4)(x-1)
Create a function rule for the situation below.
Answer:
r=0.05m+24.95
Step-by-step explanation:
5 cents represents the money per mile. The number of miles driven changes, therefore changing the amount of the equation as a whole. The 24.95 is not changing, so it is just added on in the expression.
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!!
Find the value of x, y, and z in the parallelogram below.
Answer:
x=7
y=-54
z=82
Step-by-step explanation:
Hello! Let me see if I can help you!
I can't see the picture very clearly, but since it is a parallelogram, there are two sides that are parallel. That means that the opposite angles are equal to each other.
102=(-2y-6)
Solve for y:
6+102=-2y
y is equal to -54
For x and z its different because there needs to be a second equation:
(10x+8)=(z-4) is not satisfactory because it has two variables in it. Thus, we need another equation.
(z-4)+102=180 (This we know because a straight line is 180 degrees, and the two angles added together are a straight line.)
Solve for z, 180-102=z-4, z is equal to 82.
Finally, using (10x+8)=(z-4) use the already solved value for z, and then solve for x. X is equal to 7 when you solve that way.
Again I can't see the entire thing, but this is how I would try. Hope it works!
Aldo”s age is three times thoma”s age. The sum of their ages is 44 what is thomas age
Answer:
Thoma is 11
Step-by-step explanation:
We can call Aldo 'a' and Thoma 't'.
"Aldo's age is three times Thoma's age" can be written algebraically as a = 3t
"The sum of their ages is 44" can be written as a + t = 44
Because we know that a = 3t, we can substitute this into the equation a + t = 44 to get 3t + t = 44. This can be simplified to 4t = 44. If we divide both sides by four we get t = 11. This means that Thoma is 11.
Hope this helps!
what is the solution of the equations below? x+863+11001
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly. How much more will Viola’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $35. 05 b. $45. 94 c. $96. 96 d. $63. 52.
The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.
Put this values in the above formula as,
[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348[/tex]
For the four years, the monthly payment is,
[tex]m=\dfrac{11422.6348}{12\times4}\\m=237.97[/tex]
The monthly payment of unsubsidized loan is $237.97.
The monthly payment of subsidized loan is $202.80.
The difference between the unsubsidized and subsidized loan monthly payment is,
[tex]d=237.97-202.80\\d=35.17\\d\approx 35.05[/tex]
Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
Learn more about the compound interest here;
https://brainly.com/question/24274034