Answer: 1
Step-by-step explanation:
A cubical tank of edge 30 cm was filled with water up to of its height.
6
Then 5500 cm3 of water were added. How much water was there in the tank in
the end? Give your answer in litres.
Answer:
10.9 liters
Step-by-step explanation:
cubical tank size = 30 x 30 x 30
filled with 6 cm x 30 cm x 30 cm = 5400 cu.cm
then added 5500 cu.cm.
total volume on a cubical tank = 5400 cu.cm + 5500 cu.cm
total volume on a cubical tank = 10,900 cu.cm x 1 cu.cm/0.001 liters
total volume on a cubical tank = 10.9 liters
Answer:
Step-by-step explanation:
= 10.9 liters
what is the answer !
Answer:
m∠OKG = 95°
Step-by-step explanation:
In the given question,
Angle OKL and angle OKG are the linear pairs.
And we know that sum of linear pair of angles is 180°.
Therefore, m∠OKL + m∠OKH = 180°
85° + m∠OKH = 180°
m∠OKH = 180° - 85°
= 95°
Therefore, measure of angle OKG = 95° will be the answer.
The projected worth (in millions of dollars) of a large company is modeled by the equation w=
256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?
Complete Question
The projected worth (in millions of dollars) of a large company is modeled by the equation w =256(1.09)^t .
The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?
Answer:
a) The projected annual percent growth = 9%
b) The company's worth in 2008 = 510.09603627(in million dollars) or $510,096,036.27
Step-by-step explanation:
a) The projected annual percent growth
From the formula of company's worth =
w = 256(1.09)^t
1.09 - 1 = 0.09
Converting decimal to percentage
= 0.09 × 100
= 9%
b) The projected worth of the company is represented as:
w= 256(1.09)^t
t = 2000 - 2008 = 8 years
w = 256(1.09)^8
w = 510.09603627(in million dollars)
or 510.09603627 × 1,000,000
= $510,096,036.27
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles. What is the total running distance of the four runners?
The total miles run by four runners is 26.563 miles.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
Therefore, The total number of miles for the dour runners is the sum of the individual miles run by each player which is,
= (5.123 + 6.34 + 7.1 + 8) miles.
= 26.563 miles.
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find the measure of angle N in the parallelogram. Round your answer to the nearest degree
In a parallelogram opposite angles are identical so K and M are the same. Solve for K first:
6x +3 = -9 + 7x
Add 9 to both sides:
6x + 12 = 7x
Subtract 6x from both sides:
X = 12
K = 6(12) + 3 =72 +3 = 75
Now K + N = 180
N = 180 - 75 = 105
N = 105
Answer:
ANGLE N = 105°
Step-by-step explanation:
The opposite angles of a parallelogram are equal
Therefore,
-9+7x = 6x+3
Bringing variables to one side
7x-6x = 3+9
x= 12
Since , x = 12
So , Angle K = 6x+3= 6(12)+3
= 72+3
=75
In a parallelogram , adjacent angles are supplementary
i.e, Angle K +Angle N = 180°
75 + Angle N = 180°
Angle N = 180 -75
= 105 °
2a2 b3 and -4a2 b3 are like terms.
True
False
Answer:
I believe it would be TRUE but sorry if I'm wrong!
Step-by-step explanation:
Answer: True
Step-by-step explanation:
I got it right on my lesson.
Will mark the brainliest
Please answer this im desperate :(((
Answer:
Last option
Step-by-step explanation:
I think it would be the last option because when you reflect over the x-axis, the x-axis switched signs.
So, -8 would be 8 , -7 would be 7, and 3 would be negative 3.
Dont think the y-axis value would change..
Hope this helps!
(If this was good..please give brainly.)
Answer:
Option C
Step-by-step explanation:
They are the same coordinates but exchanged/reflected places
please gimme brainiest ;(
Use cylindrical or spherical coordinates, whichever seems more appropriate. Evaluate ∫∫∫E z dV, where E lies above the paraboloid
z = x2 + y2
and below the plane z = 2y. Use either the Table of Integrals or a computer algebra system to evaluate the integral.
The required value of the triple integral is (16/3)π.
To evaluate the triple integral ∫∫∫E z dV, where E lies above the paraboloid z = x² + y² and below the plane z = 2y, we can use cylindrical coordinates.
In cylindrical coordinates, we have:
x = r cosθ
y = r sinθ
z = z
To determine the limits of integration, we need to find the bounds for r, θ, and z.
The paraboloid z = x² + y² can be expressed in cylindrical coordinates as z = r².
The plane z = 2y can be expressed in cylindrical coordinates as z = 2r sinθ.
To find the bounds for r, we set the two equations equal to each other:
r^2 = 2r sinθ
Simplifying the equation, we have:
r = 2 sinθ
Since the paraboloid lies above the xy-plane, the lower bound for r is 0.
To find the bounds for θ, we need to determine the range of θ that corresponds to the region of interest. This can be done by plotting the two surfaces and visualizing the region. From the equations, we can see that the region lies within the range 0 ≤ θ ≤ π.
To find the bounds for z, we need to determine the range of z between the two surfaces. The paraboloid is below the plane, so the lower bound for z is the equation of the paraboloid, z = r^2. The upper bound for z is the equation of the plane, z = 2r sinθ.
Therefore, the limits of integration are as follows:
0 ≤ r ≤ 2 sinθ
0 ≤ θ ≤ π
r² ≤ z ≤ 2r sinθ
Now, we can evaluate the triple integral:
∫∫∫E z dV = ∫[0,2π] ∫[0,∞] ∫[r²,(2r sin θ)] (r cos(φ) sin(θ)) dz dr dθ
= (16/3)π
Therefore, the value of the triple integral is (16/3)π.
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PLEASE HELP!!!!!!!!!!
Answer:
11446
Step-by-step explanation:
= [(12*9) - 1 ]^2-3
=[108-1]^2-3
=107^2-3
=11449-3
=11446.
can someone help me pllzz
Answer:
directrix: y=4
focus: (-3,2)
vertex: (-3,3)
Step-by-step explanation:
Solve the equation using the quadratic formula. Please help !
Answer:
decimal
x = 5.284 or 0.284
fraction
x = (21.136) / 4 or (1.136) / 4
Step-by-step explanation:
2x² - 10x - 3 = 0
x = [-b ± √b² - 4(a)(c)] / 2(a)
x = {-(-10) ± √[(-10)² - 4(2)(-3)]} / 2(2)
x = [10 ± √(100 + 24)] / 4
x = (10 ± √124) / 4
x = (10 ± 11.136) / 4
x = (21.136) / 4 or (1.136) / 4
x = 5.284 or 0.284
What makes your arguments convincing? Check any of the boxes that apply. I have strong opinions about many things. I can easily convince people that I’m right. I think about why I believe in things and use my beliefs to support my point. I back up my opinions with facts. I’m good at sounding like I know what I’m talking about, no matter what.
Answer:
Everything in the option.
When you know what you are doing and what you are saying then you can be able to convince your audience.
Answer:
I can easily convince people that I'm right
I back up my opinions with facts
Step-by-step explanation:
Correct on E2020
For a confidence level of 98% with a sample size of 30, find the critical t value.
The critical t-value for a confidence level of 98% with a sample size of 30 is approximately 2.756.
To find the critical t-value for a confidence level of 98% with a sample size of 30, we'll use the t-distribution table or a statistical calculator. Here's how you can calculate it:
Determine the degrees of freedom (df) for the t-distribution. For a sample size of 30, the degrees of freedom will be df = n - 1 = 30 - 1 = 29.
Look up the critical t-value in the t-distribution table using the desired confidence level and the degrees of freedom. In this case, for a 98% confidence level, we're interested in the critical value that leaves 1% in the tails of the t-distribution. Since the distribution is symmetric, we divide the 1% by 2 to get 0.5% for each tail.
Locate the row in the t-distribution table corresponding to the degrees of freedom (29 in this case). Then, look for the column that corresponds to the desired significance level (0.005 or 0.5% in this case).
Using a statistical calculator or t-distribution table, we find that the critical t-value for a 98% confidence level and 29 degrees of freedom is approximately 2.756.
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The critical t-value for a confidence level of 98% is 2.756.
Given data:
To find the critical t-value for a confidence level of 98% with a sample size of 30, use a t-distribution table or a calculator.
Since the sample size is small (less than 30) and the population standard deviation is unknown, we use the t-distribution instead of the standard normal distribution.
The critical t-value is determined based on the confidence level and the degrees of freedom (df), which is equal to the sample size minus 1.
For a 98% confidence level, the corresponding significance level (α) is 1 - 0.98 = 0.02. Since it's a two-tailed test, divide this significance level by 2 to find the area in each tail: 0.02 / 2 = 0.01.
With a sample size of 30, the degrees of freedom is 30 - 1 = 29.
Using a t-distribution table or a calculator, we find the critical t-value with a cumulative probability of 0.01 (in each tail) and 29 degrees of freedom.
The critical t-value for a confidence level of 98% with a sample size of 30 is approximately ±2.756.
Hence, the critical t-value is 2.756.
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PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE
Answer: What is the question? You have not posted a inquiry...
The Sorry State Lottery requires you to select five different numbers from 0 through 42. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.) What is the probability of being a Big Winner?
Answer:
1 / 962598
Step-by-step explanation:
Let S be the sample space
total number of possible outcomes = n(S)
Let E be the event
total number of favorable outcomes = n(E)
Compute the number of ways to select 5 numbers from 0 through 42:
Total numbers to choose from = 43
So
Total number of ways to select 5 numbers from 43
= n(S) = 43C5
= 43! / 5! ( 43-5)!
= 43! / 5! 38!
= 43*42*41*40*39*38! / (5*4*3*2*1)*38!
= 115511760/120
n(S) = 962598
Hence there are 962598 ways to select 5 numbers from 43
Compute the probability of being a Big Winner
In order to be a Big Winner all 5 of the 5 winning balls are to be chosen and there is only one way you can for this event to occur. So
n(E) = 1
Here E is to be a Big Winner
So probability of being a Big Winner = P(E)
= n(E) / n(S)
= 1 / 962598
Hence
P(being a Big Winner) = P(E) = 1 / 962598
Assume the random variable X is normally distributed with mean and standard deviation . Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X)
Answer:
The answer is attached for better presentation of formulas.
Step-by-step explanation:
The areas under the normal curve between any two ordinates at X=a and X=b equals the probability that the r.v X lies in the interval [a,b]. that is P (a ≤ X ≤ b) = ∫_a^b▒1/(σ√2π) e^((-(x-u))/(2σ^2)) dx
which is represented by the area of the shaded region. (figure1)
But integrals of this type cannot be solved by ordinary means. They are however evaluated by the methods of numerical integration, and numerical approximations for some function have been tabulated for quick reference.
The table of areas under the unit normal curve gives the areas (probabilities) for the standard normal distribution from the mean, z=0 to a specified value of z say z0. Since normal curves are symmetrical therefore P (0 to z) = P (0 to –z). That is why the areas for negative values of z are not tabulated. Hence to use the table of areas for the normal distribution, the values of the r.v X in any problem are changed to the values of the standard normal variable Z and the desired probabilities are obtained from the table.
Thus to find P (a <X<b) we would change X into Z as follows
P (a <X<b) = P ((a-u)/σ ≤ (X-u)/σ ≤ (b-u)/σ )
= P ((a-u)/σ ≤ Z ≤ (b-u)/σ )
Where (a-u)/σ and (b-u)/σ are the z- values of the standard normal variable Z.
In practice, a normal curve sketch for the given problem, showing under the X scale, a scale for the corresponding values of z will help in solving problem. (Figure 2)
What is the equation of the quadratic function represented by this table?
Step-by-step explanation:
[tex]y = a {(x - h)}^{2} + k[/tex]
[tex]vertex = (h \: \: \: k)[/tex]
from the table
[tex]vertex = ( - 2 \: \: \: 4)[/tex]
therefore
[tex]h = - 2 \: \: and \: \: k = 4[/tex]
[tex]y = a {(x + 2)}^{2} + 4[/tex]
when x= 0, y = 3
[tex]3 = a {(2)}^{2} + 4[/tex]
[tex]3 = 4a + 4[/tex]
[tex]a = \frac{ - 1}{4} [/tex]
therefore equation of the function
[tex]y = - \frac{1}{4} {(x + 2)}^{2} + 4[/tex]
what is 82 degrees below 0
Answer:
-82°
Step-by-step explanation:
If we go 82° below 0, that means that instead of increasing by 82, we are decreasing by 82.
If we decrease to a number below 0, it becomes a negative number.
For example: If we decrease 10° from 0, we'd be at -10°.
Likewise, if we decrease 2° from 0, we'd be at -2°.
Following this pattern, if we decrease 82° from 0, we'd be at -82°.
Hope this helped!
Warmup Day 1
(5^2+ 4) x 5 - 2 + (-4)
Please work this Problem out step by step
x Clear
Undo
Answer: 139
Step-by-step explanation:
(5^2+4)*5-2+(-4)
(25+4)*5-2+(-4)
29*5-2-4
145-2-4
139
Find the absolute value. |-6| |-6|=
Answer:
0
Step-by-step explanation:
6-6 equals 0
Answer:
Step-by-step explanation:
The absolute value of |-6| is 6
For what value of a is the equation: (x + 7)2 = (x − 7)2 + ax an identity? (An identity is an equation in which any number is solution. For example, x + 3 = 3 + x is an identity.)
Answer:
Step-by-step explanation:
Hello, we need first to develop and then identify the like terms.
[tex](x + 7)^2 = (x-7)^2 + ax\\\\(x+7)^2-(x-7)^2=ax\\\\(x+7-x+7)(x+7+x-7)=ax\\\\14*2x=ax\\\\28x=ax[/tex]
So a = 28.
Thank you
A teacher's salary is modeled by the equation
an = 48,000(1.0325)t-1 where t represents years of
experience. How much should this teacher expect to pay in their
5th year of teaching?
A. $54,550.84
B. $56,323.75
Och$58,154.27
D. $52,833.75
Answer:
A. $54,550.84
Step-by-step explanation:
48,000(1.0325)^4
48,000(1.136475928)
54,550.84455
Find a vector 6 unit long in the direction of A = 2i + 2j – 1k
Answer:
B=4i+4j-2k
Step-by-step explanation:
Lets find the length of vector A
IAI= sqrt(2²+2²+1²)=sqrt(9)=3
So B=2*A = 2(2i+2j-1k)=4i+4j-2k
Find 8 + 35 + (- 56).
which of the following is a true statement of the figure
Answer:
Step-by-step explanation:
The statement that is true for the given figure will be AD/DC = AB/CB.
So the correct option is A.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
The triangle ABC is divided into two triangle by a median DB that are;
Triangle ADB and Triangle ADC
So here the proportion form as;
AD/DC = AB/CB.
Therefore, The statement that is true for the given figure will be AD/DC = AB/CB.
So the correct option is A.
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Mr. Monasterio ran to The Burrito Barn at 10mph. He ate too many burritos and slowed to 6 mph on the way home. Find the time going to The Burrito Barn if the time coming back took 2 hours more than the time going. Don't forget to include units. PLS HELP RIGHT NOW
Answer:
1 h with 20 min
Step-by-step explanation:
10-6 = 100-60
= 40, in percentages is 40%, 40% minus of 2 h is...
if 50% minus is 1 h, 40% is 1 h with 20 min or simply...
120 min - 40% = 120 - 40
120 - 40 = 80, 80 min are 1 h and 20 min
Hope this helps
Help me please I really need help!!!!!!
Answer:
the tax on a $90,000 salary is: $5175
Step-by-step explanation:
Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "17,001 and up". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.
Recall that 5.75% in math terms is: 5.75/100 = 0.0575
Then the 5.75% of $90,000 is mathematically calculated as the product :
0.0575 x 90,000 = 5175
Therefore the tax on a $90,000 salary is: $5175
On average the number of drum sets sold in Michigan each year is 96,537, which is seven times the average number of drum sets sold each year in Vermont. How many drum sets, on average, are sold each year in Vermont?
Answer:
13791
Step-by-step explanation:
Take 96,537 and divide by 7
Need help and show work plz
Answer:
[tex]\frac{1716}{132600}[/tex]
Step-by-step explanation:
Assuming they removed the jokers there are 52 cards in a deck and 13 hearts
You can calculate the odds of something by multiplying the odds together, because you don't put back the card you drew you have to subtract 1 from both the numerator and denominator
[tex](\frac{13}{52})(\frac{12}{51})(\frac{11}{50})=\frac{1716}{132600}[/tex]
Therefore the probability of pulling 3 cards that are all hearts are [tex]\frac{1716}{132600}[/tex]
yo someone quickly help me with this?