Same-side interior angles always add
up to 180°. If <4 and 46 are same-side
interior angles, what is the measure of «6?
t
44=123°
46 = [?]
o
46
Answer:
Solution given;
<6+ 4=180[co interior angle]
<6=180-123
<6=57° is your answer
A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.
a) Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h, where v represents the rocket’s initial velocity and h represents the rocket’s initial height.
t?
Answer:
ball-x2-y2-z2-r2--n-dimensions-represent-ball-hypersphere-s-q7037775 ... -feet-rectangular-field-divide-half-fence-middle-pa-q7037837 0.8 2015-06-26 ... -thrown-vertically-upward-initial-velocity-v-original-position-s-height-h-time-t- ...
Step-by-step explanation:
subtract the fractions
7/39 1/42
Answer:
7/39-1/42= 85/546
Step-by-step explanation:
so its 85/546
Answer:
7/39 1/42
so it's 85/546
Pls Help!
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?
Answer:
she can buy 13
please brainliest or hear
Answer:
She can order 7 DVDS
Step-by-step explanation:
8.49 x 7 = 59.43
59.43 + 5 = 64.43.
Solve
(Perimeter)
Rectangle
Side- 10
Side- 5
The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, each cross section perpendicular to the x -axis is a semicircle. What is the volume of the solid?
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
[tex]\displaystyle A=\frac{1}{2}\pi r^2[/tex]
The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:
[tex]\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx[/tex]
Substitute:
[tex]\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx[/tex]
Simplify:
[tex]\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx[/tex]
Integrate:
[tex]\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right][/tex]
Evaluate:
[tex]\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3[/tex]
The volume of the solid is π/40 cubic units.
Volume of a solid is the measure of the 3 dimensional space it occupies. The volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]
How to find the volume of a three dimensional region bounded by curves?For that, we can try to find infinitesimally small 3-d region's volume, and then integrate that region over the dimensions available to get the total volume of the specified region.
We can also use the fact that continuous curves are almost linear and non-changing in infinitely zoomed region.
The given solid has base bounded by x-axis, [tex]y=x^2[/tex] and 0≤x≤1
Its three dimensional region is along the z axis, for each x, there is a semicircle perpendicular with radius being 'y'.
If we take [tex]dx[/tex]x-axis, then the curve [tex]y=x^2[/tex]cylinder(split from height because of semicircle)) with diameter y, and height [tex]dx[/tex]volume is : [tex]V_{dx} = \dfrac{1}{2} \times \pi (\dfrac{y}{2})^2 \times dx = \dfrac{\pi (x^2)^2}{8}dx = \dfrac{\pi x^4}{8} dx[/tex]
Integrating this for 0≤x≤1, we will get the volume of the three dimensional region needed as:
[tex]V = \int_0^4V_{dx} = \int_0^1 \dfrac{\pi x^4}{8} dx = \dfrac{\pi}{8} [\dfrac{x^5}{5}]^1_0 = \dfrac{\pi 1^4}{40} = \dfrac{\pi}{40}[/tex] (in cubic units).
Thus, the volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]
Learn more about volume of three dimensional region here:
https://brainly.com/question/338504
What is the volume of the rectangular prism? A.6/9 B.8/9 C.8/27 D. 6/27
Answer:
the corrct answer is C
Step-by-step explanation:
got it correct
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control
Answer:
Sample number 3
Step-by-step explanation:
From the given information:
Sample Service life(hours) Total Mean(X)
1 2 3 4
1 495 500 505 500 2000 500
2 525 515 505 515 2060 515
3 470 480 460 470 1880 470
Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]
Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]
Thus;
[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]
To plot on an X_Bar chart, we have:
Sample Mean (X) UCL LCL
1 500 520 480
5 515 520 480
6 470 520 480
The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.
The diameter of a circle is 10 ft. Find its area to the nearest tenth.
Answer:
15.70
Step-by-step explanation:
Answer:
78.5
Step-by-step explanation:
Formula: a = πr², r = d/2
Given: π = 3.14, d = 10
Sub: a = (3.14)r²
Find r.
r = 10/2
r = 5
Sub: a = (3.14)5²
Simplify: a = (3.14)25
Solve: a = 78.5
The answer is 78.5.
If this truly helped you, help me out by thanking me.
-Xax.
Devin pushed a table 2 meters, using a force of 100 N. The table weighed 150 N. How do you calculate the work done by Devin?
A. Multiply 150 by 2.
B. Divide 100 by 2.
C. Multiply 100 by 2.
D. Divide 150 by 2.
Answer:
Step-by-step explanation:
D I did this before
Find the range for the set of data: 22, 25, 25, 27, 32
Answer: Range for set is 10
Hope this help!
Alana has $80 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?
Answer:
Answer:
I = $ 1,937.50
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
I hope this is correct and hope it helps!
Using the order of operations, what are the steps for solving this expression? 40/8+3^2+(15-7)*2 Arrange the steps in the order in which they are performed.
9514 1404 393
Answer:
simplify parenthesesevaluate the exponential termdivide 40/8multiply 8*2add 5+9add 14+16Step-by-step explanation:
40/8+3^2+(15-7)*2 . . . . given
The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.
40/8 +3^2 +8*2 . . . . (15-7) = 8
Then you evaluate exponential terms.
40/8 +9 +8*2 . . . . . 3^2 = 9
Then perform multiplication and division, left to right. Here, division is first, then multiplication.
5 +9 +8*2 . . . . . divide 40/8 = 5
5 +9 +16 . . . . . . multiply 8*2 = 16
Finally, perform addition and subtraction, left to right.
14 +16 . . . . add 5+9
30 . . . . . . . add 14+16
Answer:
it is 8
Step-by-step explanation:
Determine if each set of coordinates form a horizontal or vertical line.
a. (-3, 6) & (-3, 2)
b. (8, 4) & (-3, 4)
c. (11, -5) & (-9, -5)
d. (9, -3) & (9, -12)
Answer:
a. vertical
b. horizontal
c. horizontal
d. vertical
Step-by-step explanation:
if the x coordinate changes it's horizontal and if the y coordinate changes it's vertical
Determine if the ratios are equivalent: 12:16 and 72:96 *
10 points
Equivalent
Not Equivalent
Answer:
Step-by-step explanation:
12 : 16
Both have 4 in common
3 : 4
72 : 96
Both have 12 in common
6 : 8
Both have 2 in common
3 : 4
So both the ratios are equivalent
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
-7x + 2y = -5
y = -7x + 8
explain how please
Answer:
x = 1 and y =1
Step-by-step explanation:
y = -7x + 8
sub into other eq
-7x + 2(-7x + 8) = -5
-7x - 14x + 16 = -5
-21x = -21
x - 1
y = -7(1) + 8
y = 1
Please help will give brainliest
Answer:
One-third of the volume
Step-by-step explanation:
Volume of cylinder = πr²h
Volume of cone = (1/3)πr²h
A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:
6 5
Step-by-step explanation:
4 5 6 7
Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8
5-|p+6|=-8
5-distance=-8= distance of them= 13
|p+6|=13
distance between/from p and -6
= -19 or 7,
So
Please Make me the brainliest pls
what is the value of A when we rewrite (32/5)^-2x as A^x
Answer:
[tex](\dfrac{25}{1024})^x[/tex]
Step-by-step explanation:
The given expression is :
[tex](\dfrac{32}{5})^{-2x}[/tex]
We need to rewrite it in the form of [tex]A^x[/tex].
We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]
So,
[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]
So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.
Answer: A = (32/5)^-2
Step-by-step explanation:
11. Saul's baseball bat has a mass of 1 kilogram His baseball has a mass
of 150 grams. What is the mass in grams of both items combined?
C. 1.150 grams
A. 1.15 grams
D. 115,000 grams
B. 115 grams
PLEASE HELP ASAP ITS DUE SOON!!!!
Answer:
A
Step-by-step explanation:
Look at the y axis and find the highest point.
Answer:
I believe it would be a: y=30; The maximum height...
Step-by-step explanation:
It's where the line would be, and describes exactly where the line of symmetry would be. Hope this helps :)
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A
Mina has 1/2 of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?
b.1/8 of a bag
c.1 bag
c.1/4 of a bag
d.1/2 of a bag
no links k
Answer:
c.1/4 of a bag
cuz half of 1/2 is 1/4
ou have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU. Using Zillow you take a random sample of 61 apartments. The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 2 decimal places)
Answer:
hfcfkyhgctyirkgt,ckcikkccy
Step-by-step explanation:
Help me please sjsjdjs it’s due in a few minutes
Answer:
The answer is the 3rd dot.
Step-by-step explanation:
hope this helps
Answer:
The one right below 8
Step-by-step explanation:
Find the ratio of the areas.
9514 1404 393
Answer:
3 -2√2
Step-by-step explanation:
For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...
small area / large area = (1/(1+√2))^2 = 1/(3+2√2)
small area/large area = 3 -2√2
_____
The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.
Hey everyone it is math pleased help me it is due today
Answer:
93 in²Step-by-step explanation:
Given triangular prism with:
a = 1.5 in, b = 2 in, c = 2.5 in, l = 15 inTotal surface area is:
A = Pl + 2B, where P is the perimeter of base, B is area of baseConsidering all given values we have:
A = (1.5 + 2 + 2.5)*15 + 2*(1/2*1.5*2) = 93 in²please answer fast :)
Will says you cannot use a graphing calculator to graph a line when the equation is in point slope form. Explain Will's reasoning. How could you modify an equation given in point-slope for so that you could graph the line on a graphing calculator? Use the equation y - 2 = -3(x + 5) as an example in your explanation.
Answer: y-2=3x-15 that’s wher my knowledge stops hopefully that helps a little. ♀️