Answer:
a < -1
Step-by-step explanation:
Okay, so we are given this equation:
t(x) = ax^5 + 2
Lets plug in -2 as x and see what happens.. t(x) can be 66..
[tex]a * (-2)^{5} + 2[/tex] = 66
-32a + 2 = 66
-32a = 64
a = -2
A is less than -1,
a < -1
(256)^0.16*(256)^0.09 Answer of this pls
Answer:
4
Step-by-step explanation:
[tex]256^{0.16}\cdot 256^{0.09}=\\256^{0.16+0.09}=\\256^{0.25}=\sqrt[4]{256}=4[/tex]
Hope this helps!
Simplify -r+8(-5r-2)
Answer:
-41r - 16
Step-by-step explanation:
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
-5r - 2 = -1 • (5r + 2)
Equation at the end of step 2 :
-r + -8 • (5r + 2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-41r - 16 = -1 • (41r + 16)
what are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4
Answer:
[tex] y= 7(x+5)^2 -4[/tex]
The vertex form for a parabola is given by this expression:
[tex] y = a(x-h)^2 +k[/tex]
By direct comparison we see that for this case:
[tex] a = 7, h = -5 and k=-4[/tex]
And we know from the general expression that the vertex is:
[tex] V= (h,k)[/tex]
So then the vertex for this case is:
[tex] V= (-5,-4)[/tex]
Step-by-step explanation:
For this case we have the following function:
[tex] y= 7(x+5)^2 -4[/tex]
And we need to take in count that the vertex form for a parabola is given by this expression:
[tex] y = a(x-h)^2 +k[/tex]
By direct comparison we see that for this case:
[tex] a = 7, h = -5 and k=-4[/tex]
And we know from the general expression that the vertex is:
[tex] V= (h,k)[/tex]
So then the vertex for this case is:
[tex] V= (-5,-4)[/tex]
What value of x is in the solution set of 4x - 12 <16 + 8x?
Step-by-step explanation:
4x - 12 < 16 + 8x
Bringing like terms on one side
-12 - 16 < 8x - 4x
-28 < 4x
-28/4 < x
-7 < x
HELP ASAP!!
Mr. Washington has a sign that is in the shape of a trapezoid. Some of the dimensions of the sign are shown. What is the area of Mr. Washington’s sign?
A) 24 sq. Ft.
B) 36 sq. Ft.
C) 42 sq. Ft.
D) 48 sq. Ft.
Answer:
Answer shown from explanation
Step-by-step explanation:
Area of trapezium =1/2 * sum of parallel side * height = 1/2. *(6+12) *4= 36sqft
Expression is a trinonmial
Answer:
A: The expression is a trinomial with a degree of 4.
Step-by-step explanation:
The expression has three parts, so it's a tronomial.
The largest exponent is 4, so it has a degree of 4.
Answer:
Yea he is right it is a
Step-by-step explanation:
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
Thanks 90 POINTS!!!!
Answer:
1
Step-by-step explanation:
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
PEMDAS
Work from the inside out
Change subtracting negatives to adding
(−4)+2–{(−5)–[(−7)+(−3)+8)]}
(−4)+2–{(−5)–[(-2)]}
(−4)+2–{-5+2}
(−4)+2–(−3)
Changing to adding
(−4)+2+3
-2+3
1
Find the GCF of 260,80,50
Answer:
10
Step-by-step explanation:
Suppose you regress the natural log of total family expenditures on household size using observations of households from the 2013 Consumer Expenditure Survey:
. reg Intotexppq fam_size
Source SS df MS Number of obs = 6,766
Model F(1, 6764) = 634.72
Residual Prob > F = 0.0000
R-squared = 0.0858
Adj R-squared = 0.0857
Total | 5540.26944 6,765 818960744 Root MSE = .86534
Intotexppp | Coef. Std. Err. t P>I t I |[95% Conf. Interval]
fam_size | .1767089 .007014 25.19 0.000
cons | .0203324 404.71 0.000
From the information given, you should be able to answer the following questions about the regression:
• (4) Interpret your estimate of the coefficient on family size.
• (4) Compute the 95% confidence interval for the coefficient on family size.
• (6) Compute the estimate of the intercept of the regression line.
• (5) Compute the Explained Sum of Squares and Residual Sum of Squares of the model.
• (6) How would you assess whether the error terms in your model were homoskedastic or heteroskedastic? Include a picture if you need to.
Answer:
Step-by-step explanation:
Please check below in the attached, you will see answer to given questions, thank you, I hope it helps.
a rectangle has length x + 9 and width 2x - 1. What is the area of the rectangle?
Answer:
A = 2x^2 + 17x -9
Step-by-step explanation:
A = LW
L = x + 9
W = 2x - 1
A = (x+9)(2x-1)
FOIL
A = 2x^2 + 18x - x - 9
A = 2x^2 + 17x -9
Write and simplify an expression for the surface area of a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards. What is the surface area if the height is 4 yards?
Answer:
Surface Area= (18.2+12.2h) square yardsWhen h=4 yds, Surface Area=67 square yardsStep-by-step explanation:
Given the length(l), height(h) and width(w) of a rectangular prism.
Surface Area=2(lw+lh+wh)
For a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards.
Surface Area[tex]=2(2.6*3.5+2.6h+3.5h)[/tex]
[tex]=2(9.1+2.6h+3.5h)\\=18.2+5.2h+7h\\[/tex]
Surface Area= (18.2+12.2h) square yards
If the height, h=4 yards
Then the surface area of the rectangular prism
=18.2+12.2h
=18.2+12.2(4)
=18.2+48.8
=67 square yards
What is the arc measure of major arc AC on circle P in degrees
A bag contains white marbles and green marbles, 52 in total. The number of white
marbles is 3 less than 4 times the number of green marbles. How many white marbles
are there?
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget ro thank me...
There are 41 white marbles in the bag.
Let's assume the number of green marbles is represented by "x". According to the given information, the number of white marbles is 3 less than 4 times the number of green marbles.
Number of white marbles = 4x - 3
The total number of marbles is given as 52, so we can write the equation:
Number of white marbles + Number of green marbles = Total number of marbles
(4x - 3) + x = 52
Combining like terms:
5x - 3 = 52
Adding 3 to both sides:
5x = 55
Dividing both sides by 5:
x = 11
Therefore, the number of green marbles is 11.
To find the number of white marbles:
Number of white marbles = 4x - 3
= 4 * 11 - 3
= 44 - 3
= 41
Hence, there are 41 white marbles.
To know more about marbles, refer here:
https://brainly.com/question/949406
#SPJ2
Lennox was curious if triangles \triangle ABE△ABEtriangle, A, B, E and \triangle DCE△DCEtriangle, D, C, E were similar, so she tried to map one figure onto the other using a reflection and a dilation. Lennox concluded: "It's not possible to map \triangle DCE△DCEtriangle, D, C, E onto \triangle ABE△ABEtriangle, A, B, E using a sequence of rigid transformations and dilations, so the triangles are not similar." What error did Lennox make in her conclusion?
Answer:
There is no error. This is a correct conclusion.
Step-by-step explanation:
If a sequence of rigid transformations
(translations, reflections, and rotations) and dilations can map △DCE onto △ABE, then the figures are similar.
Notice that both triangles are right triangles (at vertices B and C), with line AB and DC being the longer legs.
Therefore, if the triangles are similar, we should be able to map each pair of corresponding points onto each other with rigid transformations and dilations:
D should be mapped onto A.
C should be mapped onto B.
E should be mapped onto itself.
Lennox used a reflection across line BE and a dilation about E to get △DCE as close as possible to △ABE. But still, point D did not map onto point A.
So we can conclude that it's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations.
Lennox concluded:
"It's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations, so the triangles are not similar."
There is no error. This is a correct conclusion.
Answer:
there is no error
Step-by-step explanation:
I took the quiz on Khan and got it correct!
What is a requirement of supplementary angles
Answer:
They both need to add up 180 degreesStep-by-step explanation:
Answer:
Supplementary angles are angles that add up to 180° so they need to add up to 180 degrees.
Step-by-step explanation:
UJUU J
Given p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24) = 0
a) Check by the remainder or factor theorems which of these is a factor of the polynomial
p(a): (a - 1), (a - 2) or (a + 4).
b) By the remainder theorem, state the remainder when p(a) is divided by the binomial
which are not its factors.
c) Use the factor from (a) to divide p(a) by long division.
d) Use the factor from (a) to divide p(a) by synthetic division. (your answer should
correspond with that from (c)).
Answer:
Plese read the complete procedure below:
Step-by-step explanation:
The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)
a)
1 -6 3 26 -24 | 1
1 -5 -2 24
1 -5 -2 24 0
The remainder is zero, then (a-1) is a factor of the polynomial
b)
1 -6 3 26 -24 | 2
2 -8 10 72
1 -4 5 36 48
When p(a) is divided by (a-2) the remainder 28/p(a)
1 -6 3 26 -24 | - 4
-4 40 172 -792
1 -10 43 198 -816
When p(a) is divided by (a-2) the remainder -816/p(a)
c) I attached an image of the long division below:
4. A small high school holds its graduation ceremony in the gym. Because of seating constraints, students are limited to a maximum of four tickets to graduation for family and friends. The vice principal knows that historically 30% of students want four tickets, 25% want three, 25% want two, 15% want one, and 5% want none. (a) Let X ¼ the number of tickets requested by a randomly selected graduating student, and assume the historical distribution applies to this rv. Find the mean and standard deviation of X. (b) Let T ¼ the total number of tickets requested by the 150 students graduating this year. Assuming all 150 students’ requests are independent, determine the mean and standard deviation of T. (c) The gym can seat a maximum of 500 guests. Calculate the (approximate) probability that all students’ requests can be accommodated. [Hint: Express this probability in terms of T. What distribution does T have?]
Answer:
(a) The mean and standard deviation of X is 2.6 and 1.2 respectively.
(b) The mean and standard deviation of T are 390 and 180 respectively.
(c) The distribution of T is N (390, 180²). The probability that all students’ requests can be accommodated is 0.7291.
Step-by-step explanation:
(a)
The random variable X is defined as the number of tickets requested by a randomly selected graduating student.
The probability distribution of the number of tickets wanted by the students for the graduation ceremony is as follows:
X P (X)
0 0.05
1 0.15
2 0.25
3 0.25
4 0.30
The formula to compute the mean is:
[tex]\mu=\sum x\cdot P(X)[/tex]
Compute the mean number of tickets requested by a student as follows:
[tex]\mu=\sum x\cdot P(X)\\=(0\times 0.05)+(1\times 0.15)+(2\times 0.25)+(3\times 0.25)+(4\times 0.30)\\=2.6[/tex]
The formula of standard deviation of the number of tickets requested by a student as follows:
[tex]\sigma=\sqrt{E(X^{2})-\mu^{2}}[/tex]
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{E(X^{2})-\mu^{2}}\\=\sqrt{[(0^{2}\times 0.05)+(1^{2}\times 0.15)+(2^{2}\times 0.25)+(3^{2}\times 0.25)+(4^{2}\times 0.30)]-(2.6)^{2}}\\=\sqrt{1.44}\\=1.2[/tex]
Thus, the mean and standard deviation of X is 2.6 and 1.2 respectively.
(b)
The random variable T is defined as the total number of tickets requested by the 150 students graduating this year.
That is, T = 150 X
Compute the mean of T as follows:
[tex]\mu=E(T)\\=E(150\cdot X)\\=150\times E(X)\\=150\times 2.6\\=390[/tex]
Compute the standard deviation of T as follows:
[tex]\sigma=SD(T)\\=SD(150\cdot X)\\=\sqrt{V(150\cdot X)}\\=\sqrt{150^{2}}\times SD(X)\\=150\times 1.2\\=180[/tex]
Thus, the mean and standard deviation of T are 390 and 180 respectively.
(c)
The maximum number of seats at the gym is, 500.
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Here T = total number of seats requested.
Then, the mean of the distribution of the sum of values of X is given by,
[tex]\mu_{T}=n\times \mu_{X}=390[/tex]
And the standard deviation of the distribution of the sum of values of X is given by,
[tex]\sigma_{T}=n\times \sigma_{X}=180[/tex]
So, the distribution of T is N (390, 180²).
Compute the probability that all students’ requests can be accommodated, i.e. less than 500 seats were requested as follows:
[tex]P(T<500)=P(\frac{T-\mu_{T}}{\sigma_{T}}<\frac{500-390}{180})\\=P(Z<0.61)\\=0.72907\\\approx 0.7291[/tex]
Thus, the probability that all students’ requests can be accommodated is 0.7291.
An online movie store made $1,494 on
poster sales last week. It charged $18 for
each poster. How many posters did the
store sell?
Answer:
83 posters
Step-by-step explanation:
$1,494/$18 = 83
Answer:
An online movie store made $1,494 on poster sales last week.
It charged $18 for each poster.
=> The number of sold posters:
N = 1494/18 = 83
Hope this helps!
:)
Nick score on six scientist are listed below 87,93,82,91,93,85
As a bonus the science teacher was going to add three points each test how does the mean of the new test scores compare with the mean of the original test scores??
Answer:
Mean of original test scores is 88.5
Mean of test scores , with three marks added to each score is 91.5
The mean of the test score with three marks added to each score is higher than the original mean of score is increased by three .
Explanation : hope it works out !!
An army depot that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. In order to determine if having a standard work procedure in place reduces troubleshooting time, they should use
a. a one-tailed paired t-test.
b. a two-tailed test of two independent means.
c. a one-tailed test of two independent means.
d. a two-tailed paired t-test.
e. a test of two proportions.
Answer:
A. a one-tailed paired t-test.
Step-by-step explanation:
2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees. What is the value of n? (show your work in numbers)
Answer:
n is 41.67 degrees
Step-by-step explanation:
At the intersection point of two lines, there are two angles, a and b. The sum of these two angles is 180.
In this question:
One of the angles is (3n - 28)
The other is 83.
Then
[tex]3n - 28 + 83 = 180[/tex]
[tex]3n + 55 = 180[/tex]
[tex]3n = 180 - 55[/tex]
[tex]3n = 125[/tex]
[tex]n = \frac{125}{3}[/tex]
[tex]n = 41.67[/tex]
Wai recorded the length of each string needed for a knitting project. What is the total length of the string needed?
Answer:
The answer is "14.625 ft"
Step-by-step explanation:
In the given question some information is missing that is attachment of file which can be described as follows:
Add products:
[tex]\rightarrow \ (\frac{1}{8})\times 1+(\frac{1}{4})\times 1+(\frac{1}{2})\times 3+(\frac{3}{4})\times8+(1)\times4+1 \frac{3}{8}\times (2)1 \frac{3}{8} \\\\ \rightarrow 11/8\\\\[/tex]
[tex]\rightarrow \frac{1}{8}\times 1+(\frac{1}{4})\times1+(\frac{1}{2})\times3+(\frac{3}{4})\times8+(1)\times4+\frac{11}{8}\times(2)\\\\[/tex]
[tex]\rightarrow (\frac{1}{8})+(\frac{1}{4})+(\frac{3}{2})+(6)+(4)+\frac{11}{4}\\\\\rightarrow (\frac{1+2+12+48+32+22}{8}) \\\\\rightarrow \frac{117}{8} \\\\ \rightarrow 14.625 \ ft \\[/tex]
Hector has three weeks
what is 7 divided by 897
Answer:
Decimal form: 0.00780379
Step-by-step explanation:
Used a calculator tbh.
Plz click the Thanks button!
<Jayla>
Estimate the value of the radical below.
[tex]\sqrt{67}[/tex]
A.7.8
B.9.2
C.8.8
D.8.2
Please select the best answer from the choices provided
A
B
C
D
help me with this plissssss
Answer: 1st and 3rd 2nd and fourth hope this helps :3
Step-by-step explanation:
Which statement describes the system of equations?
(3x-4y=-35
(3x + 4y = 5
It has one solution (-5.5).
It has one solution (5, -5).
The system has no solution.
The system has infinitely many solutions.
Answer:
one solution
Step-by-step explanation:
3x - 4y = -35
3x + 4y = 5
6x = -30
x = -5
3(-5) + 4y = 5
-15 + 4y = 5
4y = 20
y = 5
(-5, 5)
The system of equations has one solution (-5.5) which is correct option (A).
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
What is linear equation?A linear equation is defined as an equation in which the highest power of the independent variable is always one.
Given the system of equations as :
3x - 4y = -35
3x + 4y = 5
Addition the both equations
3x - 4y + 3x + 4y = -35 + 5
6x = -30
Divided by 6 both the sides,
x = -30/6
x = -5
Substitute the value of x =2 in the equation 3x + 4y = 5
So, 3(-5) + 4y = 5
-15 + 4y = 5
4y = 20
Divided by 4 both the sides,
y = 20/4
y = 5
So, It has one solution x = -5 and y = 5
Hence, the system of equations has one solution (-5.5).
Learn more about equation here:
brainly.com/question/10413253
#SPJ5
System of Equations: Solve for (x,y) given the system of linear equations "X 1 point
- y = 4" and "x + y = 4".
Answer:
(x, y) = (4, 0)
Step-by-step explanation:
It looks like you want to solve ...
x - y = 4x + y = 4Adding the two equations gives ...
2x = 8
x = 4 . . . . divide by 2
Then ...
y = 4 - x = 0
The solution is (x, y) = (4, 0).
_____
If you think about what you're seeing when you read the equations, you realize that adding or subtracting y gives the same result. Hence y=0 and x=4.
The number 12,089 is:
< 12,098.
= 12,098.
> 12,098.
None of these choices are correct.
Answer:
< 12,098
Step-by-step explanation:
Because yes
...........
It is <12,098
One of them is correct
The slope of a line passing through (-3,-6) and (-6,-6)
Answer:
M=0
Step-by-step explanation: