Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?
Explanation:
A square has all four sides the same length. So the length and width are the same.
We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.
If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.
BE is a midsegment, Find the value of x. Please
Answer:
x10
Step-by-step explanation:
BE=1/2 * CD
x=CB/2
x=20/2
x=10
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
Two numbers differ by 18. If 2/7 of the larger is 6 more than 1/4 of the smaller, find the two numbers
Answer:
Step-by-step explanation:
1) x-y=18
2) 2x/7-y/4=6
from 1) x=18+y substituting in 2)
2(18+y)/7-y/4=6
36/7+y(2/7-1/4)=6
y=(6-36/7)/(2/7-1/4)
y=(6/7)/(1/28)
y=24
x=18+y=18+24
x=42
PLEASE HELP !! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answer: 2
Step-by-step explanation:
Sub in 2 to both equations
[tex]2^2-1=-2+5\\4-1=3\\3=3[/tex]
As you see we see that both sides result into 3 (which would be the y) meaning they both intersect when x=2 and y=3
please help now
Your pump empties the water from a swimming pool in 4 hours. When your friend's pump is used together with your pump, the pool is emptied in 48 minutes. How long (in hours) does it take your friend's pump to empty the pool when working alone?
Answer:
Time taken for pump B to empty pool = 1 hour.
Step-by-step explanation:
Given:
Time taken for pump A to empty pool = 4 hour
Time taken together = 48 minutes = 48 / 60 = 4/5 hour
Find:
Time taken for pump B to empty pool
Computation:
Assume;
Time taken for pump B to empty pool = a
1/4 + 1/a = 1 / (4/5)
1/4 + 1/a = 5/4
1/a = 5/4 - 1/4
1/a = (5 - 1) / 4
1/a = 1
a = 1
Time taken for pump B to empty pool = 1 hour.
simplify my 5 multiply 6 - 60
Answer:
- 30 is the answer
Step-by-step explanation:
5 multiply 6 - 60
5 × 6 - 60
= 30 - 60
= - 30
I need the answer to the question
The answer is A
One revolution is equal to the circumference of the tire:
C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}
The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:
4,400div frac{44}{7}=4,400times frac{7}{44}=700
700 revolutions.
Use the Side, Side, Side Rule (SSS) to prove that the triangles in each pair are congruent. Draw hash marks to show the congruent sides. Then write a congruence statement for each pair of triangles
Answer:
(1) ΔMAN ≅ ΔBOY
(2) ΔMAT ≅ ΔRUG
(3) ΔEBN ≅ ΔUHR
(4) ΔTOP ≅ ΔLID
(5) ΔCAT ≅ ΔDOG
(6) ΔITP ≅ ΔLOH
Step-by-step explanation:
The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.
The combinations are:
(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.
(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.
(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.
(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Part (1):
As we are given two triangles.
Side AM = Side OB
Side MN = Side BY
Side AN = Side OY
That means,
ΔMAN ≅ ΔBOY
Part (2):
As we are given two triangles.
Side MA = Side RU
Side MT = Side RG
Side AT = Side UG
That means,
ΔMAT ≅ ΔRUG
Part (3):
As we are given two triangles.
Side EB = Side UH
Side BN = Side HR
Side NE = Side RU
That means,
ΔEBN ≅ ΔUHR
Part (4):
As we are given two triangles.
Side OT = Side IL
Side OP = Side ID
Side PT = Side DL
That means,
ΔTOP ≅ ΔLID
Part (5):
As we are given two triangles.
Side AC = Side OD
Side AT = Side OG
Side TC = Side GD
That means,
ΔCAT ≅ ΔDOG
Part (6):
As we are given two triangles.
Side TP = Side OH
Side IT = Side LO
Side IP = Side LH
That means,
ΔITP ≅ ΔLOH
Answer:
hehe boi
Step-by-step explanation:
What is the probability that out of 250 babies born, 110 or fewer will be boys?
Aaaume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent,
A. 3.3%
B. 75.7%
C. 28.5%
O D. 97.5%
Answer:
A. 3.3%
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
250 babies, boys and girls equally as likely:
This means that [tex]n = 250, p = 0.5[/tex].
Mean and standard deviation:
[tex]\mu = E(X) = np = 250*0.5 = 125[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.5*0.5}[/tex]
Probability that out of 250 babies born, 110 or fewer will be boys?
Using continuity correction, this is P(X < 110 + 0.5) = P(X < 110.5), which is the p-value of Z when X = 110.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110.5 - 125}{\sqrt{250*0.5*0.5}}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.033
0.033*100% = 3.3%, so option A.
GEOMETRY PROOFS:
Type your answer in the following format.
Statement 2:
Reason 3:
Statement 4:
Reason 5:
Reason 6:
Answer:
Statement 2: ∠BAC = ∠CZY
Reason 3: Vertically opposite angles
Statement 4: YC = CB
Reason 5: AAS (Angle, Angle, Side)
Reason 6: Corresponding sides, congruent triangles
Solve the following equation algebraically show the steps:
n/3 -5 = 5
[tex]\longrightarrow{\green{ \: n = 30 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{n}{3} - 5 = 5[/tex]
➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]
➼ [tex] \: \frac{n}{3} = 10[/tex]
➼ [tex] \: n = 10 \times 3[/tex]
➼ [tex] \: n = 30[/tex]
Therefore, the value of n is 30.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{30}{3} - 5 = 5[/tex]
✒ [tex] \: 10 - 5 = 5[/tex]
✒ [tex] \: 5 = 5[/tex]
✒ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?
Answer:
24 months
Step-by-step explanation:
Given :
Mean = 48
Standard deviation = 8
Zscore = - 3
Using the relation :
Zscore = (x - mean) / standard deviation
Where, x = score
-3 = (x - 48) / 8
-3 * 8 = x - 48
-24 = x - 48
-24 + 48 = x
24 = x
Score = 24
TERCER TRIMESTRE SEGUNDO GRADO
DEL 7 DE JUNIO AL 18 DE JUNIO
4- Calcular la media, la mediana y la moda de la siguiente serie de numeros: 5, 3, 6, 5, 4, 5, 2, 8, 6,5,4,8,3,4,5,4,8,2
5.4.
Answer:
MEDIA: 4.8
MEDIANA: 5
MODA: 5
espero que te ayude :)
Huilan is 11 years older than Thomas. The sum of their ages is 67 . What is Thomas's age?
Answer:
Thomas is 28.
Step-by-step explanation:
Let Huilan’s age be “x + 11”
Let Thomas’s age be “x”
x + x + 11 = 67
2x + 11 = 67
2x = 56
x = 28 years
x + 11 = 39 years
Thomas is 28.
Party trays which cost $14.00 to make not including labor are sold for $35.00 if two people work 8 hour shifts making the trays at $7.00 per hour how many trays must be sold to cover all costs including labor?
Simplify the expression using the order of operations. 3(7 + 4) – 8.2
[tex]3(7 + 4) - 8.2 \\ 3 \times 11 - 8.2 \\ 33 - 8.2 \\ \\ = 24.8[/tex]
Step By Step Explanation:
Calculate: Add the numbersMultiply: Multiply the numbersCalculate: Subtract the numbersAlternate Forms:
124/5 24 4/5☆彡HannaAnswer:
[tex]3(7 + 4)-8.2[/tex]
[tex]3*11-8.2[/tex]
[tex]33-8.2[/tex]
[tex]24.8[/tex]
--------------------------hope it helps...have a great day!!COMPARE METALS TO NONMETAL WHICH STATMEMENT IS TURE
A,BOTH METALS AND NONMETALS ARE SHINY
B,BOTH METALS AND NONMETALS CONDUCT HEAT AND ELECTRICITY
C,NONMETALS CONDUCT HEAT AND ELECTRICITY BUT METALS DO NOT
D,METALS HAVA A SHINY LUSTER BUT NONMETALS DO NOT
Answer:
OPTION D IS THE ONLY LEGIT OPTION.
Metals have a shiny Lustre but Non metals do Not!
Answer:
D
Step-by-step explanation:
A: false. Some of the non-metals are gasses. They can hardly be classified as shinny.
Some of the metals, though solid, are not exactly shinny either.
B: Most metals conduct heat and electricity to some degree. Non metals don't.
C: The exact opposite is true.
D: I think this is the expected answer.
Find the slope of a line perpendicular to the line 3x – 2y = 5.
Answer:
2/3
Step-by-step explanation:
to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format
The slope intercept form of a liner equation is:
Y = mx + b
Where m is slope and b is the y - intercept value.
solving the equation in the problem for y produces :
3x - 3x + 2y = -3x - 5
0 + 2y = 3x - 5
2y = - 3x - 5
2y = -3x - 5
2 2
y = - 3 x - 5
2. 2
Therefore the slope of this line is m = - 3
2
the slope of perpendicular line is the negative inverse of the slope of the line we are given,or
- 1
m
so for our problem the slope of a perpendicular line is - - 2 = 2
3. 3
Hey, everyone. This is from canvas, the picture I included was my grade. I believe this is called Box and Whiskers, I'm not sure as it's been a while since I have done math.I just want to confirm that the end of the box is the 75th percentile.
Answer:
Yes
Step-by-step explanation:
This is called Box and Whiskers or box plot.
The box in the middle contains 50% of data and the right end of the box is 75th percentile, you are correct.
25% of data is distributed to the left and 25% of data to the right of the box that is in the middle.
Given the equation 5 + x - 12 = x- 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x -4, 0, 5 to prove your solution to the equation 5 + x - 12 F x - 7. In your final answer, include all
of your calculations.
Answer:
Step-by-step explanation:
5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)
x - 7 = x - 7 (notice its the same on both sides of equal sign. Add 7 to both sides)
x = x
solution is all real numbers
Part B
5 - 4 - 12 = -4 - 7
-11 = -11
5 + 0 - 12 = 0 - 7
-7 = -7
5 + 5 - 12 = 5 - 7
-2 = -2
What is (f⋅g)(x) ?
f(x)=x2−2x
g(x)=4x+1
Enter your answer in the box.
(f⋅g)(x)=
Answer:
[tex](f-g)(x) =x^2 -6x -1[/tex]
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
[tex]f(x) - g(x) = (x^2 - 2x) - (4x + 1)[/tex]
[tex]= x^2 -2x -4x -1\\=x^2 -6x -1[/tex]
Xavier drew 10 cards at random from a deck of numbered cards. The deck is composed of 3 sets of cards numbered 1 through 10 and three cards numbered 50. He recorded the numbers he drew: find the mean, meadian and mode of the data.
Answer:
Mean - 9 mode - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 50 median- 6
Step-by-step explanation:
1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?
Answer:
220.5 in³
Step-by-step explanation:
Volume = L×W×H
Volume = 10.5 in × 7 in × 3 in
Volume = 220.5 in³
Answer:
220.5CM ^3
Step-by-step explanation:
vOLUME = L*W*H
= 10.5*7*3
=220.5
Select the correct answer.
What is the approximate value of the correlation coefficient for the given graph
Answer:
x = -5
Step-by-step explanation:
the answer is -5 sussy baka
This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.
Side note: The r value and slope are both negative, but they aren't equal to one another.
800 is 1/10 of-----------?
NEED HELP DUE IN 2 MINUTESS!!!!
Answer:
17.83 in
Step-by-step explanation:
2 x 3.14
= 6.28
112 ÷ 6.28= 17.8343949
Whole number is 17.83 in
HELPPPPPP PLEASEEEEE ILL GIVE BRAINLIEST AND POINTS!!
(you dont need to answer them all but at least help me with a couple)
1) Explain Uganda’s ABC program in the fight against HIV/AIDS
2) Why has the Ugandan government pushed Abstinence as a means of combating the spread of HIV/AIDS?
3) What risks are involved with the use of condoms in combating the spread of HIV/AIDS?
4) On a separate piece of paper, construct a population pyramid to illustrate the current age groups infected by HIV/AIDS in Uganda.
If x=6 find the value of x
-
2
Answer:
[tex]36[/tex]
Step-by-step explanation:
[tex] {x}^{2} [/tex]
[tex] = {6}^{2} [/tex]
[tex]= (6 \times 6)[/tex]
[tex]= 36[/tex]
Hope it is helpful...Answer:
x/2=3
Step-by-step explanation:
x=6
x/2=?
6/2=3
Therefore,x=3.
2b(to the power of 2)= 2.83
Step-by-step explanation:
2b²=2.83
b²=1.415
b=1.18953