Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Data from a sample of 576 people in a city was used to estimate the mean monthly bill
paid by city residents for internet service to be $45 with a standard deviation of $0.48.
Enter a number in the box to complete the sentence below.
S
Use the formula M=1.96 x to calculate the margin of error for a 95% confidence
VN
interval, to the nearest hundredth, $
dollars.
Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, the values of the parameters are:
[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].
Hence, the margin of error, in dollars, is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]
M = 0.04.
More can be learned about the z-distribution at https://brainly.com/question/25890103
What is the value of the expression below when x=4 and y=3?
The question is 5x to the 3rd power plus 4y to the 3rd power
[tex]x = 4\\y = 3[/tex]
Question is [tex]5x^3 + 4y^3[/tex]
We know what [tex]x[/tex] and [tex]y[/tex] are.
[tex]5x^3 + 4y^3 = 5 \times 4^3 + 4 \times 3^3\\= 5 \times 64 + 4 \times 27\\= 320 + 108\\= 428[/tex]
Can someone tell me what I did wrong here
Answer:
should have divided it directly ........ maybe or it's just messy........ maybe
Step-by-step explanation:
..........
...........
8x + 16 = 36
8x = 36 - 16
8x = 20
x = 20 / 8
x = 2.5
Use the given information about angles ABC and DBC to solve for x and the measures of each of the angles. ABC andDBC are supplementary angles. mABC = 3x + 19 and mDBC = 7x - 9. Solve for x and the measures ofABC andDBC. Complete your work in the space provided. Include your calculations and the steps necessary to solve for the measures ofABC andDBC.
Answer:
Below in bold.
Step-by-step explanation:
Supplementary angles add up to 180 dgrees, so we have the equation:
3x + 19 + 7x - 9 = 180
10x + 10 = 180
10x = 180 - 10
10x = 170
x = 17.
So m <ABC = 3(17) + 19 = 70 degrees
and m < DBC = 7(17) - 9 = 110 degrees.
Answer:
3x + 19+7x-9=180
10x+10=180
10x=180-10
10x=170
x =17
A chemist has three different acid solutions.
The first solution contains 15 % acid, the second contains 30 % acid, and the third contains 50 %
acid,
She created 78 liters of a 35 % acid mixture, using all three solutions. The number of liters of 50 %
solution used is 3 times the number of liters of 30 % solution used.
How many liters of each solution was used?
Answer:
Its 50 and it can reach 60
june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake
Answer:
12/4=3
Step-by-step explanation:
12/4
Answer:
3 batches
Step-by-step explanation:
Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.
5 chocolate bars cost $5.75
2 chocolate bars and 3 packets of sweets cost $7.85 work out the cost of one packet of sweets
Answer:
The answer is $1.85
Step-by-step explanation:
Given;The cost of 5 chocolate bars = $5.75The cost of 2 chocolate bars and 3 packets of sweets = $7.85To Find;The cost of one packet of sweets.Now, we know that the cost of 5 chocolate bars are $5.75.
For 1 chocolate bar
5.75 ÷ 5 = $1.15
Here, we get the price of 1 chocolate bar
So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.
2 × chocolate bar = 2 × (1.15) = $2.3
Now, we want to find only the cost of one packet of sweets.
So,
7.85 – 2.3 = $5.55
3 packets of sweets cost $5.55
For 1 packets of sweets
5.55 ÷ 3 = $1.85
Thus, The cost of one packet of sweets = $1.85
I need to know how the answer
Answer:
A=1/2(b*h)
A=(3x2*4xy)
A=1/2(12x3y)
A=6x3y
so the answer is option (d)
Find the probability of the following event
You roll a prime number
Answer:
4/6
Step-by-step explanation:
A die can roll out six numbers from 1 to 6.
Prime numbers from 1 to 6 are: 1,2,3,5
4 out of 6 are prime
A cylinder has a radius 3 inches and height 5 inches. A cone has the same radius and height. What is the volume of the cylinder
✰ Given Information :-
⠀
A cylinder with following dimensions :
Radius = 3 inchesHeight = 5 inches⠀
✰ To Find :-
⠀
The volume of the cylinder⠀
✰ Formula Used :-
⠀
[tex] \qquad \star \: \underline{ \boxed{ \purple{\sf Volume_{Cylinder} = \pi {r}^{2} h}}} \: \star[/tex]
⠀
Where,
r = radius h = height⠀
✰ Solution :-
⠀
Putting the values in the formula, we get,
⠀
[tex] \sf \longrightarrow Volume=3.14 \times {(3)}^{2} \times 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 \times 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^{3} }}}} \: \star \: \: \: \: \: \\ [/tex]
⠀
Thus, the volume of the cylinder is 141.3 cm³.
⠀
[tex] \underline{ \rule{230pt}{2pt}} \\ \\ [/tex]
Step-by-step explanation:
As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.
[tex] \: [/tex]
We know,
[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = \pi {r}^{2}h }}}} \\ \\[/tex]
Where,
r is the radius of the cylinder.h is the height of the cylinder.Here, we will take the value of π as 3.14 approximately .[tex] \: [/tex]
Now, we will substitute the given values in the formula :
[tex] \: [/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times ( {3})^{2} \times 5 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 9 \times 5 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 45 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = 141.3 }}}} \\ \\[/tex]
Note :
Answer might be different if we take the value of π as 22/7 .which equation is equivalent to 3(2x - 5) = 4 (x + 3) ?
Step-by-step explanation:
3(2x - 5) = 4(x+3)
Distribute. Multiply 3 by 2x so the product keeps the variable, multiply 3 by 5 and keep the subtraction symbol. Multiply 4 by x so it would be 4x, multiply 4 by 3
(6x-5=4x+12) Answer
57771298
How would the mode change if the number 5 were added to the set?
Answer:
The mode of this list of numbers would still be [tex]7[/tex] (the mode did not change) after "[tex]5[/tex]" was added to the list.
Step-by-step explanation:
The mode of a list of elements is the member that appears the most frequently.
The original list of numbers in this question [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8][/tex] included the following members:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 1\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" appeared more often than any other member of this list. Thus, the mode of the original list was "[tex]7\![/tex]".
Adding "[tex]5[/tex]" to the original list would give the list [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5][/tex]. Members of this list are:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 2\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "[tex]7\![/tex]".
Which of the
following graphs
satisfies these
inequalities?
x- y< 2.
x + 2y > 8
y<4
A
B
2
f
B
is the answer. Good luck!!
Calculate the magnitude of :
1.1.
[tex] \alpha [/tex]
Answer:
135°
have a nice day
hope it helps
The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next two terms is a multiple of 3, no matter what the value of m.
Answer:
S
ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .
Step-by-step explanation:
Find the surface area of the right triangular prism (above) using its net (below).
Answer:
96 units²
Rectangles
A = bh
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
Triangles
A = bh/2
(4 x 3)/2 = 6
(4 x 3)/2 = 6
Total SA
28 + 35 + 21 + 6 + 6
96 units²
BRAINLIEST please if this helped!
15<96–q
what is the value of q
Answer: q < 81
Step-by-step explanation:
isolate q
15 < 96 - q
-81 < -q
divide by negative 1 but flip inequality because you are dividing by a negative
81 > q so
q < 81
A factory produces 72 pairs of
legging 6 minutes. At the same rate,how many pairs of leggings will the factory produce in 8 minutes?
Answer:
96 pairs
Step-by-step explanation:
72 pairs / 6 minutes will simplify to 12 pairs per minute.
Then (12 pairs / minute)(8 minutes) =
96 pairs
You would use a back-to-back stem-and-leaf plot when you want to analyze the heights of the boys on the basketball team.
False
True
Answer:
true because there are going to be many heights already
Step-by-step explanation:
i it's true
this is because already there will be
so many heights
a=[4 -7 3 -2] find the determinant
Answer:
13
Step-by-step explanation:
[tex]\text{determinant of A} =\begin{vmatrix}4&-7\\ 3&-2\end{vmatrix}[/tex]
[tex]\text{determinant of A} =\left( 4\times \left( -2\right) \right) -\left( 3\times \left( -7\right) \right)[/tex]
[tex]\text{determinant of A} =-8+21=13[/tex]
how many real numbers solutions does the equation have
Answer:
this would be 2
Step-by-step explanation:
Slope:
Y-intercept=
Equation Y=
Answer:
Slope = -3
Y-intercept = (0,-4)
Equation = -3x-4
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex] or [tex]\frac{Y2-Y1}{X2-X1}[/tex]. Apply this from the data in the table, for example:
[tex]\frac{5-8}{-3-(-4)} = \frac{rise}{run}\\ \frac{-3}{1} = \frac{rise}{run}\\\\-3= \frac{rise}{run}[/tex]
Y-intercept is located where x=0. If we look at the table, we will find that when x=0, y=-4. If we turn it into a (x,y) point format, we will get (0,4).
The function can be found using the Y-intercept and the slope. Since at x=0, y=-4, we know that the function must have a -4 in it, therefore: [tex]y = x-4[/tex]. Our function decreases by 3 for every positive x and increases by 3 for every negative x, therefore [tex]y = -3x-4[/tex].
17,18,22,31,47, ... what's next
Answer:
Step-by-step explanation:
First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.
18 -17 = 1 = 1^2
22 - 18 = 4 = 2^2
31 - 22 = 9 = 3^2
47 - 31 = 16 = 4^2
=================
Call the number comming x. 47 taken from x must give 5^2 which is 25
x - 47 = 5^2
x - 47 = 25 Add 47 to both sides
x -47 + 47 = 25 + 47
x = 72
=================
72 -47 = 25 which is 5^2.
Answer: The next number is 72
2x +5 > -1 on the number line
Answer:
Below
Step-by-step explanation:
2x + 5 > -1
Treat the equality sign (ex. < >) as the costumary equal sign (=).
2x + 5 + (-5) > -1 + (-5) ---- -5 will cancel out the 5 on the left
2x/2 > -6/2 ------ divide by 2 to single out the x
x > -3
Remember to draw an open dot. Draw an arrow from -3 to the extreme right.
Help asap for brainliest
Answer:
282 ft
Step-by-step explanation:
Area of 2 triangles = 6+6
= 12 ft
Area of 3 rectangles = 90+90+90
= 270 ft
therefore
the surface area = 12 + 270
= 282 ft
I think that I am right
Which statement(s) are true?
No event can be impossible.
No event can be certain.
The more unlikely an event, the closer it is to impossible.
The more likely an event, the closer it is to certain.
Answer:
no event can be impossible
Answer: no event can be impossible
Step-by-step explanation:
Solve the equation.
If necessary:
Combine Terms
5
3-4x=3 = -9x32
Axt/
6
Apply properties:
Add
Subtract
Multiply Divide
To start over:
Reset
the day before yesterday is 2 days after Sunday what day is today
Thursday
Explanation:
Two days after Sunday is Tuesday
Tuesday would be the day before yesterday (Wednesday)
So today is Thursday
Answer:
The Day before the day before yesterday was two days after the day before my birthday. Today is Thursday. The following steps can be used in order to determine the day on birthday: Step 1 - Remember today is Thursday according to the given data. Step 2 - Now, the Day before the day before yesterday is Monday. Step 3 - The two days before Monday is Saturday. Step 4 - And the day of the birthday is after Saturday that is Sunday
Step-by-step explanation:
Find the volume . Round to the nearest tenth
volume: 1740 ft³
[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]
[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]
[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]
[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]
[tex]\sf volume\ of \ the \ prism =1740[/tex]
Answer:
1740 ft³
Step-by-step explanation:
Volume
= Volume of right triangular prism (upper) + Volume of cuboid (below)
= 1/2L₁B₁H₁ + L₂B₂H₂
= 1/2 x 12 x 10 x 9 + 15 x 10 x 8
= 5 x 108 + 120 x 10
= 540 + 1200
= 1740 ft³
=
15. Given a rectangle ABCD with AD 12. The diagonals AC and BD intersect at point O such that
mZDOC = 30°. Find the area of the rectangle.
Answer:
To find the area, we need to find the side length AB (and DC).
The easiest way to approach this is to draw a sketch with all the given information (see attached).
As point O is the center point of the rectangle, we can draw a horizontal line from point O to the center point of BC (point M on the diagram) and create a right triangle. We can then use the Sine rule to find the shortest leg of the triangle (marked as x on the diagram). This will be half of the side length AB, and so to find the side length, simply multiply it by 2.
To find the missing angles of the right triangle:
m∠COM = (180° - 30°) ÷ 2 = 75°
m∠OCM = 180° - 90° - m∠COM = 90° - 75° = 15°
Sine rule
[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \dfrac{x}{\sin(15)}=\dfrac{6}{\sin(75)}[/tex]
[tex]\implies x=\sin(15)\cdot \dfrac{6}{\sin(75)}[/tex]
[tex]\implies x=12-6\sqrt{3}[/tex]
As AB = [tex]2x[/tex]
[tex]\begin{aligned} \implies AB & =2x\\ & =2(12-6\sqrt{3})\\ & =24-12\sqrt{3}\end{aligned}[/tex]
Now we have both side lengths of the rectangle, we can easily calculate the area.
Area of a rectangle = width × length
= (24 - 12√3) × 12
= 288 - 144√3
= 38.5846837...
= 38.585 units² (nearest thousandth)