9514 1404 393
Answer:
12.5 square inches
Step-by-step explanation:
The area of the base can be written as ...
B = LW
Then the volume formula ...
V = LWH
can be written in terms of the base area as ...
V = BH
The base area can be found by dividing by the height:
B = V/H = (50 in³)/(4 in) = 12.5 in²
The area of the base is 12.5 square inches.
what is 7 - x - ( -5x ) - 10 + 4x
Answer: 8x−3
Step-by-step explanation:
Let's simplify step-by-step.
7−x−−5x−10+4x
=7+−x+5x+−10+4x
Combine Like Terms:
=7+−x+5x+−10+4x
=(−x+5x+4x)+(7+−10)
=8x+−3
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
8 x -3
Step-by-step explanation:
because you do the equation on math w a y
Which is the graph of g(x) = 2^x-1 + 3?
Answer:
gave no examples.. this is what I got
Step-by-step explanation:
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.
a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?
b) Determine the maximum height of the diver.
c) How far is the diver from the water after 2 seconds?
Answer:
a) 3/4 secb) 39 feetc) 14 feetStep-by-step explanation:
Given function:
h(t) = -16t^2 + 24t + 30a) Maximum height is the vertex of the graph. Time needed:
t = -24/2(-16) = 24/32 = 3/4 secIf we double this time then diver will pass the peak point and it doesn't double the height
b) Maximum height is at vertex:
h(3/4) = -16*(3/4)^2 + 24*3/4 + 30 = 39 feetc) Distance from water after 2 seconds:
h(2) = -16*2^2 + 24*2 + 30 = 14 feetA sound measures 42 dB. The intensity of a second sound is four times as great. What is the decibel level of this
second sound?
Answer:
The decibel level of this second sound is 48.021 decibels.
Step-by-step explanation:
The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)
Where:
[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.
[tex]I[/tex] - Real sound intensity, measured in watts per square meter.
If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:
[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]
[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]
[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
The real sound intensity of the second sound is four times greater, that is:
[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]
[tex]B_{dB} = 48.021\,dB[/tex]
The decibel level of this second sound is 48.021 decibels.
IS 7 7 Solve for a = √[? [] a a = 4 Enter the number that goes beneath the radical symbol 4 Enter
Answer:
[tex]a=\sqrt{33}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]
So a would equal whatever the square root of 33 is.
Help me here i’ll mark you brainliest❤️
Answer:1 black 4 white
Step-by-step explanation:
It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3
So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3
Solve the following equations
7(3x + 5) - x = 75
Answer:
x = 2
Step-by-step explanation:
7(3x + 5) - x = 75
1. Distributive property
multiply 7 by whatever is in the parenthesis
7*3x + 7*5 - x = 75
21x + 35 - x = 75
2. Combine like terms
21x - x = 20x
20x + 35 = 75
3. Subtract 35 on both sides
20x + 35 - 35 = 75 - 35
20x = 40
4. Divide both sides by 20 since u want to isolate the variable
20x/20 = 40/20
x = 2
And thats ur answer
Hope this helped!
A sheet of drywall is cut into quarters. Each quarter is cut into thirds. What fraction of a whole sheet is each of these small pieces?
Answer:
X/12
Step-by-step explanation:
X - whole drywall
X/4 -quarters
X/4/3=X/12 fraction of a whole sheet is each of these small pieces
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Answer:
have a good day too
Step-by-step explanation:
Which inequality is NOT true if y = -5?
A 2y - 10 > 13
B
- 14 + 6y < 8
C3y +9> -15
D-24 - 4y <-3
Answer:
b
Step-by-step explanation:
I need help with this one
Answer:
60
Step-by-step explanation:
The answer of this question is 60 degree
pls help, basic algebra problem with guidance
Answer:
x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)
Step-by-step explanation:
The equation you were given was:
amount of solution • rate of concentration = amount of pure acid
By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.
You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:
0.18 • x = 860 mL
Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.
860 / 0.18 = x
x = 43000/9 or 4777.7
PLEASE god answer this question, no one will ever answer my stuff.
If the simple interest on $6000 for 8 years is $2400, then what is the interest rate?
Answer:
there are different intrest rates, depending on where it is. but im choosing 8400
Step-by-step explanation:
5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO AND ANSWER GIVING BRAINLIEST
Answer:
C.
Step-by-step explanation:
The equation that can be used to determine r is r = 3/.5 (1/2)
Hope this helps :)
Somebody please tell me how to solve this-
Answer:
64ft
Step-by-step explanation:
a+b/2xh
17+9=16
16/2=8
8x8=64ft
Please urgently need answer. Thanks
Answer:
wouldnt it be d
Step-by-step explanation:
if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean of the sample will be less than 273?
Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
What is 6/25 as a percent
Answer:
24% yes yes yes
Answer:
24% or [tex]\frac{6}{25}[/tex]=24%
Step-by-step explanation:
We know that
[tex]\frac{6}{25}[/tex]
Is the same as
6÷25
Then, using long division gives us
0.24
Lastly, multiplying 0.24 by 100 gives us
24
Now add the percent sign
24%
Help pls it’s really hard
Answer:
1 acute and 2 right (the last option)
A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade. What is the best course grade your friend can earn? % What is the minimum score would your friend would need on the final to earn a 75% for the course? %
Answer:
[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]
Step-by-step explanation:
Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:
[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.
Solving, we get:
[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].
If the line you graph is exactly the same as the first one, how many solutions do you
have?
Infinitely many
1 solution
no solutions
Help ASAP.
PLEASE HELP, WILL GIVE LOTS OF POINTS & BRAINLY
solve the 2 questions!
Answer:
5) we get a=6
6) we get c=8
Step-by-step explanation:
The triangles given are similar.
When the triangles are similar, the ratio of corresponding sides are also similar.
5) If c = 12, find a
We will use the ratio
[tex]\frac{30}{12}=\frac{15}{a}[/tex]
Now cross multiply to find value of a
[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]
So, we get a=6
6. If b = 6.4, find c
We will use the ratio
[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]
Now cross multiply to find value of b
[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]
So, we get c=8
Mrs. Taylor made 67 tissue holders each day. She decided to sell her tissue holders and sold out each day for four weeks. How many tissue holders did she sell?
A. 1,876 tissue holders
B. 1,866 tissue holders
C. 1,407 tissue holders
D. 670 tissue holders
Answer:
the answer would be A
Step-by-step explanation:
Answer:
A. 1,876 tissue holders
Step-by-step explanation:
Find the lengths of the missing sides in the pairs of similar triangles
Answer:
x = 4
Step-by-step explanation:
The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )
10x = 40 ( divide both sides by 10 )
x = 4
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
38 yards
Step-by-step explanation:
All you have to do is add up all that yardsgained and subtract the yards lost:
32-7+15-2=38
Answer:
38
Step-by-step explanation:
32-7=25
25+15=40
40-2=38
What is h(x) = 7+ 10x + x2 written in vertex form?
Oh(x) = (x - 25)2 - 18
Oh(x) = (x - 5)2 + 32
h(x) = (x + 5)2 - 18
h(x) = (x + 25)2 + 32 free cookie for whoever answers
Answer:
h(x) = [tex](x+5)^{2}[/tex] -18
Step-by-step explanation:
-b/2a is the formula to find the vertex's x coordinate.
-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer
Use the table to Solve inequality -3x < 3
Answer:
x>-1
Step-by-step explanation:
what is 15% of 80?????
Answer:
I think it´s 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
because 15% (or 0.15) times 80 equals 12.
Question 4
Solve for x. Round your answer to two decimal places. Do NOT include x= in your final
answer
10
х
30°
The value of x is 20.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 30 = 10 / x ______(10
We know that,
Sin 30 = 1/2 _____(2)
So,
Substituting (2) in (1).
1/2 = 10/x
x = 10 x 2
x = 20
Thus,
The value of x is 20.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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A box contains 84 chocolates which 63 are dark chocolates. The rest are milk chocolates.what is the ratio of milk chocolates to the number of chocolates in the box
Answer:
21:84
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have a box with 84 chocolates
63 are dark, milk=84-63=21
21/63=1/3 is the ratio
for each 1 milk chocolate we have 3 dark chocolates