Answer:
Since 8 is in the thousandths place, the value of the digit is 0.008.
um I hope that's correct.
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)
The length of the shadow, h, to the nearest tenth of a foot is 86.6feet
To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA
The required setup will give a right-angled triangle.
If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet
The angle of elevation is 60 degrees
The length of the shadow will be the hypotenuse of the triangle as shown:
According to the trigonometry identity:
[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]
Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet
Learn more here: https://brainly.com/question/15580615
Given g(x) = 2x + 5, find g(1).
Step-by-step explanation:
The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.
thankyou
what are the coorrect ones?
Answer:
16:18
Step-by-step explanation:
4 * 4= 16
2*4=8
Therefore
The ratio is 16:8
Hope this helps
Have a nice day! :D
Give brainliest if possible pls :)
What are the solutions of the equation 4x² + 3x = 24 - x?
O-3, 2, or 4
0-3 or 2
O-2, 3, or 4
O-2 or 3
"8% of a number is 20."
Answer: 250
Step-by-step explanation:
The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your Work. ( Will Mark Brainliest and please Do Not Repost Someone Else's Answer On Here.
Answer:
Slope of PQ
m
r
=
y
Q
−
y
P
x
Q
−
x
P
=
1
−
5
−
1
−
(
−
2
)
=
−
4
Slope of QR
m
p
=
y
R
−
y
Q
x
R
−
x
Q
=
3
−
1
7
−
(
−
1
)
=
1
4
Slope of RP
m
q
=
y
R
−
y
P
x
R
−
x
P
=
3
−
5
7
−
5
=
−
1
Since slopes PQ & PR,
m
r
=
−
1
m
p
, it's a right triangle
Area of a square is 81cm. Find the perimeter in cm.
Answer:
36 cm
hope it helps have a great day
1/12 * n^3 =
how do you multiply these together
Answer:
(n^3)/12
Step-by-step explanation:
1/12 * n^3
= (n^3)/12
Answer:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n
Step-by-step explanation:
You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]
This cancels out the n and turns the problem into:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]
I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].
what is the answer for 4|x+7|=16
Answer:
-3
Step-by-step explanation:
hope it helps
PLS HELP I ONLY HAVE 5 MIN
Answer:
I know this isn't really help but Desmos is a good place to help you with stuff like this.
Answer:
y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6
Step-by-step explanation:
Slope (m) = 0.4
(8-y)/(3-x) = o.4
8-y = 1.2 - o.4x
6.8 - y = -0.4x
y = 0.4x + 6.8
From y = mx + c , where c is the y-intercept
hence 6.8
Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water came out?
Answer:
It was on for 12.4 minutes
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
rate of water = 1.5x
x = amount of time
18.6 = 1.5x
x = 12.4
Problem Solving REAL WORLD 1. James got 3 hits in each of his baseball games. He has played 4 baseball games. How many hits has he had in all?
54
Roman has played 56 of the 98 songs on his playlist. How many more songs are left on the playlist?
24
33
42
0 56
A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily
Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n have standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 0.75 inches, thus [tex]\mu = 0.75[/tex].Standard deviation of 0.04 inches, thus [tex]\sigma = 0.04[/tex]Sample of 36, thus [tex]n = 36, s = \frac{0.04}{\sqrt{36}} = 0.0067[/tex].The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:
[tex]z = \frac{0.02}{s}[/tex]
[tex]z = \frac{0.02}{0.0067}[/tex]
[tex]z = 2.99[/tex]
The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.
z = -2.99 has a p-value of 0.0014.
2(0.0014) = 0.0028
0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
A similar problem is given at https://brainly.com/question/25212662
What is the answer to these questions?
Answer:
1) 8 3/5
2) Option 3
3. Kayla bought 3 pounds of peachee for
$1.49 per pound. How much did she pay for
the peaches?
Answer:
$4.47
Step-by-step explanation:
If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.
$1.49 x 3 = $4.47
Hope this was helpful =D
If it was, maybe I could be brainiest?
No pressure! :)
Help help please please
Step-by-step explanation:
s=9×8/6
s=12.
hope this helps you.
Answer: 12
Step-by-step explanation:
using ratio;
[tex]\frac{6}{9}=\frac{8}{x}[/tex]
[tex]\frac{2}{3}=\frac{8}{x}[/tex]
[tex]x=\frac{(8)(3)}{2}[/tex]
[tex]x=\frac{24}{2}[/tex]
[tex]x=12[/tex]
please give me a brainliest answer
Find the coordinates of point U.
A. (1.2, 0.4)
B. (1.4, 0.4)
C. (2.4, 0.4)
D. (0.4, 1.4)
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
which of the following is true of the angle shown
the measure of the angle is greater than 360
the angle is not in standard position
the terminal side of the angle lies in quadrant 2
the angle can be measured in radians only
Answer:
the angle is not in standard position
Find the area of this rectangle.
Write your answers in simplest form.
Answer:
7 1/7 square mm
Step-by-step explanation:
Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.
A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?
Step-by-step explanation:
customer need to purchase each year to save money = 100/15 × $12
= 1200/15
= $80
Answer:
More than $80Step-by-step explanation:
To save money, the customer needs to save the cost of the card first.
Solve it by ratios:
15% = 12100% = xSolve for x:
15x = 12*100x = 1200/15x = 80Find the area of the surface.
The part of the sphere
x2 + y2 + z2 = 81
that lies above the plane
z = 4.
Parameterize this surface by
r (u, v) = 9 cos(u) sin(v) i + 9 sin(u) sin(v) j + 9 cos(v) k
with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(4/9)
See the attached sketch to see how we arrive at the upper limit for v.
Take the normal vector to the surface to be
n = ∂r/∂u × ∂r/∂v
n = -81 cos(u) sin²(v) i - 81 sin(u) sin²(v) j - 81 sin(v) cos(v) k
which has magnitude
||n|| = 81 sin(v)
Then the surface area is
[tex]\displaystyle \iint_S \|\mathbf n\| \,\mathrm du\,\mathrm dv = 81 \int_0^{2\pi} \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv\,\mathrm du \\\\ = 162\pi \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv \\\\ = -162\pi (\cos\left(\arccos\left(\frac49\right) - \cos(0)\right) \\\\ = 162\pi \left(1 - \dfrac49\right) \\\\ = \boxed{90\pi}[/tex]
If you're not familiar with surface integrals, you can instead use what's sometimes called the projection method. Let
z = f(x, y) = √(81 - x ² - y ²)
(where we take the positive square root because we're looking at a part of the top half of the sphere)
Projecting the surface down onto the (x, y)-plane, we see that it casts a "shadow" of a disk with radius √(9² - 4²) = √65. (Use the Pythagorean theorem to solve for the missing side of the triangle in the sketch.)
Then the surface S considered above is hovering over the set in the (x, y)-plane,
D = {(x, y) : x ² + y ² ≤ 65}
The area is then
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy[/tex]
It's easier to compute this integral in polar coordinates, so we take
x = r cos(t )
y = r sin(t )
dx dy = r dr dt
and the region D is given by the set
{(r, t ) : 0 ≤ r ≤ √65 and 0 ≤ t ≤ 2π}
Then the integral would be
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy = \iint_D \sqrt{1 + \frac{x^2+y^2}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D \sqrt{\frac{81}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt[/tex]
Substitute s = 81 - r ² and ds = -2r dr :
[tex]\displaystyle \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt = 2\pi \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr \\\\ = -9\pi \int_{81}^{16} \frac{\mathrm ds}{\sqrt s} \\\\ = 9\pi \int_{16}^{81} s^{-1/2}\,\mathrm ds \\\\ = 18\pi \left(\sqrt{81} - \sqrt{16}\right) \\\\ = \boxed{90\pi}[/tex]
Dakota worked 55 hours over the last two weeks and his paycheck was $572.00. how much does he earn per hour
Answer:
572/55 = $10.4
or
(572 * 2)/ 55 = $20.8
Step-by-step explanation:
You divide the amount earned over the number of hours worked.
Or
if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.
George has steak and chicken in the freezer. The temperature of the steak is -5.7°C, and the temperature of the chicken is -5.7°C. Which of the following is true?
A.
steak's temperature < chicken's temperature
B.
steak's temperature > chicken's temperature
C.
steak's temperature = chicken's temperature
Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C
solve the system x-y=5 and 4x-5y+17
Answer:
Step-by-step explanation:
x = 3
7=2
3-2=5
slope is 4/5
I need help with Special Right Triangles. Thanks :)
Answer: c
Step-by-step explanation:
sin(45) = [tex]\frac{12}{AB}[/tex]
sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]
so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]
[tex]AB = \frac{24}{\sqrt{2} }[/tex]
[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]
[tex]AB = \frac{24\sqrt{2} }{2}[/tex]
[tex]AB= 12\sqrt{2}[/tex]
Please give me a brainliest answer
[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
Incorrect: Your answer is incorrect.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
The probability is equal to 0.9788.
We have given that,
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.
We have to find the probability
Probability all dislike is
[tex]0.85^8= 0.27[/tex]
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The probability that none dislike is,
[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]
At least 5 dislike
5 dislike 8C5
[tex](0.85)^5(0.15)^3= 0.0839[/tex]
6 dislike 8C6
[tex](0.85^6 0.15)^2= 0.2376[/tex]
7 dislike
[tex]8*(0.85^7) (0.15)=0.3848[/tex]
8 dislike
[tex]0.85^8= 0.2725[/tex]
Therefore the probability is equal to 0.9788.
To learn more about the probability visit:
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Light travels at a speed of $1.9\ \times\ 10^5$ miles per second. How far, in miles, does light travel in $30$ seconds?
9514 1404 393
Answer:
5.7×10^6 mi
Step-by-step explanation:
(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi
_____
Additional comment
When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.
Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1). 30.0×10^0 = 3.00×10^1
calculate the value of x and y
Answer:
How
Step-by-step explanation:
You want to put picture in