Answer:
See below.
Step-by-step explanation:
(t-4)-8
Remove parenthesis.
t-4-8
Combine like terms.
t-12
-hope it helps
The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above
Answer:
4
Step-by-step explanation:
because variable is independent
Solve 7x + 4y = 8 for x
Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class.
Finance Majors Business Analytics Majors
n1 = 120 n2 = 30
X1 = $45,137 X2 - $55.417 5
1 = $19,000 1 = $10,000
A) Formulate hypothes so that, the nullypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use the alpha = 0.05.
B) What is the value of the test statistics.
C) What is the p-value.
D) What is your conclusion?
1. Do not reject H0. We cannot conclude that series for Face major are significantly lower than the aim of Analytics majors.
2. Do not reject H0. We can conclude that salaries for Finance majors are significantly lower than the sales of Business Analytics majors.
3. Reject H0. We cannot conclude that salaries for Finance majors are significantly lower than the sales of Business Analytics majors.
4. Reject H0. We can conclude that salaries for Finance majors are significantly lower than the sales of Business Analytics majors.
Answer: 2.
Step-by-step explanation: Don't reject H0, we can't conclude cause of the sales and the aftermath.
There are 180 students in a school band attending an awards dinner. A random survey of 20 band students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown. 11 students selected Cajun pasta. 4 students selected chicken pasta. 5 students selected shrimp pasta. Based on the survey results, which of these is the best prediction of the meals wanted by the 180 students?1. There are 22 students who want chicken pasta than shrimp pasta 2. There are 60 students who want either chicken pasta or shrimp pasta3. There are 36 students who want Cajun pasta
We can extrapolate the survey, of sample size n=20, results to the population (180 students).
To do that we have to multiply the frequency of the survey by 180/20=9.
Then, we can expect:
11 * 9 = 99 will select Cajun pasta.
4 * 9 = 36 will select chicken pasta.
5 * 9 = 45 will select shrimp pasta.
Then, we can evaluate each option:
1. There are 22 students who want chicken pasta than shrimp pasta:
There are 36 students that prefer chicken pasta rather than the other options, so this is not correct.
2. There are 60 students who want either chicken pasta or shrimp pasta.
There are 36+45=81 students who want either chicken pasta or shrimp pasta, so this is not correct.
3. There are 36 students who want Cajun pasta.
I have an answer but I’m not sure if it’s correct can someone pls correct me or confirm pls
Answer:
looks good to me
Step-by-step explanation:
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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kate buys 10 ticket to show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this
Answer:
35 = 5 + 10x
Step-by-step explanation:
x = the ticket price.
Each ticket was $3
hope this helps :)
(35 - 5)/10 = 3 because She paid 35 all together + 5$ was for parking, we can subtract that. Then 30/10 is equal to 3 so she spent 3 dollars for each ticket
how would i do this ?????????????????
Answer:
f(x) = 2x + 7
f(8) = 2(8) + 7 = 16 + 7 = 23
5x + 6y = 20 , 8x - 6y = -46
Answer:
5x + 6y = 20_____(1)
8x - 6y = -46_____(2)
Solving simultaneously:
Eqn(1) + Eqn(2)
5x + 8x + 6y + (-6y) = 20 + (-46)
13x = -26
x = -2
substituting this into Eqn (1):
5(-2) + 6y = 20
-10 + 6y = 20
6y = 30
y = 5
hence:
x = -2,y = 5.
TUV = 9x + 1 TUW = 7x-9 WUV 5x-11
Answer:
7
Step-by-step explanation:
9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 12x - 20
9x + 1 - 1 = 12x - 20 - 1
9x = 12x - 21
9x - 12x = 12x - 12x -21
-3x = -21
-3x/3 = -21/-3
x = 7
Hope that helps!
Two buses leave towns 780 kilometers apart at the same time and travel toward each other. One bus travels 8 km/hr faster than the other. If they meet in 3 hours, what is the rate of each bus?
Answer:
mwahahahahah what grade you are
Step-by-step explanation:
because is this properly
A restaurant sells burgers and fries. If two burgers
and one order of fries cost $5.10, and one burger
and two orders of fries cost $4.80. how much is
one burger and one order of fries?
Answer:
$3.30
Step-by-step explanation:
Represent Burger with B and Fries with F
\(2B + F = 5.10\)
\(B + 2F = 4.80\)
Required
Determine the values of B + F
Make F the subject, in (1)
\(F = 5.10 - 2B\)
Substitute this in (2)
\(B + 2(5.10 - 2B) = 4.80\)
\(B + 10.20 - 4B = 4.80\)
Collect Like Terms
\(B - 4B = 4.80 - 10.20\)
\(- 3B = -5.40\)
Divide both sides by -3
\(B = \$1.80\)
Recall that \(F = 5.10 - 2B\)
\(F = 5.10 - 2 * 1.80\)
\(F = 5.10 - 3.60\)
\(F = \$1.50\)
One burger and One Fries = F + B
\(F +B = \$1.50 + \$1.80\)
\(F +B = \$3.30\)
Answer:
6.90 fries
Step-by-step explanation:
Determine the equation of the circle graphed below.
Answer:
\( (x+6)^2+(y-5)^2=4^2\)
Step-by-step explanation:
To find:-
Equation of the circle.Answer:-
We are interested in finding out the equation of the given circle. For that , take any two diametrically opposite coordinates. Two such coordinates are (-6,1) and (-6,9) . Now using midpoint formula , find the midpoint as ,
Midpoint formula:-
\(\longrightarrow \boxed{(x_m,y_m)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}\\\)
On substituting the respective values, we have;
\(\longrightarrow (x_m,y_m) =\bigg(\dfrac{-6-6}{2},\dfrac{1+9}{2}\bigg) \\\)
\(\longrightarrow (x_m,y_m) =\bigg(\dfrac{-12}{2},\dfrac{10}{2}\bigg) \\\)
\(\longrightarrow \red{ (x_m,y_m) = (-6,5)}\\\)
This is the coordinate of the centre of the circle as centre is at the midpoint of the diameter. Now using distance formula , we can find the radius. Here we will use the coordinates of the centre and any one of the point on the circle say (-6,1) .
Distance formula :-
\(\longrightarrow \boxed{d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}} \\\)
On substituting the respective values, we have;
\(\longrightarrow d =\sqrt{ \{-6-(-6)\}^2+(5-1)^2}\\\)
\(\longrightarrow d =\sqrt{ (-6+6)^2+4^2} \\\)
\(\longrightarrow d =\sqrt{0+4^2} \\\)
\(\longrightarrow d =\sqrt{4^2} \\\)
\(\longrightarrow \red{ d = 4 \ units } \\\)
Hence the radius of the circle is 4 units.
Now we know the standard equation of circle , which is ,
\(\longrightarrow (x-h)^2+(y-k)^2=r^2 \\\)
where ,
\((h,k)\) is the centre.\(r\) is the radius.On substituting the respective values, we have;
\(\longrightarrow \{ x-(-6)^2\}^2+(y-5)^2 = 4^2 \\\)
\(\longrightarrow \underline{\underline{ \red{ (x+6)^2+(y-5)^2 = 4^2}}}\\\)
This is the required equation of the circle.
What is the equation of the line graphed below
Answer:
The correct equation is A. y = (2/3)x - 2
Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
\(a = 4 \times \pi \times {r}^{2} \)
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
\(lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)\)
=>
\(lune = theta \times 2 \times {r}^{2} \)
luke wants to buy an ipod. determine the equivalent cash price if luke makes 18 monthly payments of $31.48 at an interest rate of 15.2% compounded monthly
Answer:
We can use the formula for the present value of an annuity:
PV = PMT x [(1 - (1 + r)^(-n)) / r]
where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.
Substituting the given values, we have:
PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]
PV = $31.48 x [(1 - 0.5159) / 0.0127]
PV = $1,007.97
Therefore, the equivalent cash price of the iPod is $1,007.97.
Write a polynomial function that has a leading coefficient of 1, and the given zeros
at 3, 5, and -i.
9514 1400 393
Answer:
p(x) = x^4 -8x^3 +16x^2 -8x +15
Step-by-step explanation:
Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...
p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)
p(x) = x^4 -8x^3 +16x^2 -8x +15
Are the triangle similar
Answer:AAS
Step-by-step explanation:
How do you find the length of an unknown leg in a right triange
By using the pythagoras theorum you can find an unknown leg of right angled triangle.
Hypotenuse side is in the front of the 90 degree angle and other two sides can be taken as base and perpendicular, so formula goes as :-
(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2
H^2 = B^2 + P^2
Step-by-step explanation:
Hope it helps you!!how much money must be deposited now in an account paying 4.75% annual interest, compounded continuously, to have a balance of $1500 after 8 years?
Answer: a deposit of $979.56 must be made now to have a balance of $1500 after 8 years with continuous compounding at 4.75% annual interest.
Step-by-step explanation: We can use the formula for continuous compounding:
A = Pe^(rt)
where A is the ending balance, P is the principal (initial deposit), e is the constant 2.71828..., r is the annual interest rate (as a decimal), and t is the time in years.
In this case, we know that A = $1500, r = 0.0475 (4.75% as a decimal), and t = 8 years. We want to solve for P.
P = A/e^(rt)
P = $1500/e^(0.0475*8)
P = $979.56 (rounded to the nearest cent)
Therefore, a deposit of $979.56 must be made now to have a balance of $1500 after 8 years with continuous compounding at 4.75% annual interest.
Find the slope of a line parallel to the line containing (-6.1) and (3,-2).
An art teacher buys 4 packs of oil paints. Each pack contains 18 tubes of paint. Which equations represent the total
number of tubes of paint the teacher bought? Check all that apply.
4x 18 = 72
18 + 18 + 18 + 18 = 72
22-4 = 18
18 + 4 = 22
72 - 18 = 4
I’m
Answer: it’s answer 18+18+18+18
Step-by-step explanation:it’s basically18 times 4
Answer:
4 × 18 = 72
18 + 18 + 18 + 18 = 72
72 ÷ 18 = 4
Step-by-step explanation:
a cube has a volume of 1000 cm cube calculate the surface area of the cube
Answer:
600 cm²
Step-by-step explanation:
let x = length of a side of the cube
all sides are equal in a cube
Volume = x³ = 1000 cm³
x = ∛1000 = 10 cm
Area of 1 side = 10cm x 10cm = 100 cm²
There are 6 equal sides in a cube
SA = 6(100) = 600 cm²
If the zeros of a quadratic functions are -2 and 4, which graph could represent the function? A. A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10). B. A parabola declines from (negative 5 point 8, 10), (negative 5, 7), (negative 4, 0), (negative 8, negative 2), (negative 1, negative 8 point 4) and rises through (2, 0), (3, negative 6) and (3 point 9, 10). C. A downward open parabola rises from (negative 6 point 2, negative 10), (negative 5 point 2, negative 6), (negative 4, 0), (negative 3, 1) and declines through (negative 1 point 4, negative 2), (1, negative 4), (0, negative 8), and (0 point 5, 10). D. A downward open parabola rises from (negative 0 point 5, negative 10), (0, negative 8), (1, negative 4), (2, 0), (3, 1), and declines through (5, negative 4), (6, negative 8), and (6 point 5, negative 10) on the x y coordinate plane.
Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).
How to determine the graphThe zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.
Looking at the provided options:
A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.
B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.
C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.
D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.
So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.
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The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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I need help with this
Answer:
66
Step-by-step explanation:
the answer is 66 in
I do love math ask more questions
i need help with my homework
Answer:
G. t = 10.50h
Step-by-step explanation:
10.50/per hour and h is per hour so 10.50*h
Answer:
10.50h
Step-by-step explanation:
find the value ~
\( |8| + | -7| = x\)
don't spam ~
ty! :)
\( \qquad \qquad \huge \sf \underline{Solution}\)
☘ Whαt wє nєєd tσ knσw вєfσrє wє ѕσlvє :
➺ Mσduluѕ (mσd) iѕ α mαthєmαticαl functiσn thαt givєѕ αвѕσlutє vαluє σf α numвєr σr vαríαвlє.
⧉ Thαt is :
✤ 1 :positive value ➙ +vє value [ |a| ➙ a ]
✤ 2 :negative value ➙ +vє value [ |-a| ➙ a ]
✤ 3 :variable term ➙ +vє variable [ |x| ➙± x ]
❐ if value in the value in variable is negative, then
|x| = -x [ minus sign makes -ve value +ve ]|x| = x [ there's no need to change if value is already positive ]━━━━━━━━━━━━━━━━━━━━━━━
❐ nσw, mσvє σn tσ quєѕtiσn :
\(\qquad \: \multimap \sf|8| + | - 7| = x\)
\(\qquad \: \multimap \sf8 + 7 = x\)
\(\qquad \: \multimap \sf x = 15\)
✦ thєrєfσrє, vαluє σf х iѕ 15
the slope of a line is undefined, and the x-intercept is -7. what is the equation of the line?; write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).; what is the equation of the line shown written in slope-intercept form?; the slope of a line is 2 the y-intercept of the line is; which is not an equation of the line that passes through the points (1, 1) and (5, 5)?; what is the equation of the following line written in slope-intercept form?; what is the equation of the line shown written in slope-intercept form? y = -2 y = 2 x = 2; what is the equation of the following line written in slope-intercept form 1 5 1 5
The equation of the line is x = -7. The equation of the other line is x = -3 and the equation in intercept form is x/-3 = 1
It is given that the x-intercept is at -7. this implies that the line passes through the point (-7,0)
The formula of the slope of the lines is (y₂ - y₁)/(x₂ - x₁) where (x₁ , y₁) and (x₂,y₂) are 2 points the line passes through.
Since the slope of the line is undefined, x₂ - x₁ = 0
This implies that the line is parallel to the y-axis
Hence, the equation of the line is
x = -7.
Here we see that the x-intercept and any other point have the x coordinate of -3.
Hence the equation of the line will be x = -3
The equation of this particular line in slope intercept form is
x/-3 = 1
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Complete Question
the slope of a line is undefined, and the x-intercept is -7. what is the equation of the line?; write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).; what is the equation of the line shown written in slope-intercept form?
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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