Answer:
I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!
Answer:
The answer is 7 square in
Step-by-step explanation:
Do this formula
V=Bh
105=15h
h=7 square in
A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose?
Answer:
Step-by-step explanation:
There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:
P = 2w + l; solving for l and filling in our length of fencing gives us:
l = 148 - 2w
The area then for this will be:
A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:
[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:
[tex]A=-2w^2+148w[/tex]
The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.
To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:
[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:
[tex]-2(w^2-74w)=0[/tex]
The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:
[tex]-2(w^2-74w+1369)=...[/tex]
But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:
[tex]-2(w^w-74w+1369)=-2738[/tex]
The left side can be simplified down to a perfect square binomial:
[tex]-2(w-37)^2=-2738[/tex]
Now we'll add over the -2738:
[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.
someone pls help I'm genuinely confused
I've literally been trying to figure out all three of these for like two hours now but I can't figure it out
Answer:
the area is 50
Step-by-step explanation:
Answer:
its 0.09637 but round it by urself . please like my answer and brainliest me hshsshhs
Which of these shows the complete factorization of 6x^2y^2-9xy-42
Answer:
3 • (2xy - 7) • (xy + 2)
Step-by-step explanation:
(((2•3x2) • y2) - 9xy) - 42
6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)
The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The given expression is
[tex]6x^2y^2-9xy-42[/tex]
= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]
The factorized form will be
= [tex]3 (2x^2y^2 - 3xy - 14)[/tex]
Learn more about factorization ;
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Can someone help me? Becks?
Answer:
Perimeter = 72
Step-by-step explanation:
Notice that the adjacent (next to) lengths by each corner are equal in length.
This occurs when the quadrilateral is circumscribed.
Since 4.2 is adjacent to the length which makes up the total side 20.
20 – 4.2 = 15.8.
And 15.8 + 4.2 = 20.
(7 + 9) + (9 + 4.2) + (4.2 + 15.8) + (15.8 + 7) =
(16) + (13.2) + (20) + (22.8) =
(16 + 20) + (13.2 + 22.8) =
36 + 36 =
72
Type your answer in the box.
The sample standard deviation of the data set 3, 4, 5, 6, and 7 is
final answer to 1 decimal place.)
Do you know the answ
Answer:
The standard deviation of the set is: 1.5
Step-by-step explanation:
The actual standard deviation is 1.58... but to 1 decimal place it's 1.5
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account
PLEASEEE HELP PLS ASAPPP GIVING BRAINLIEST!!!!
Answer:
50 is the answer brainliest?
Step-by-step explanation:
Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
√ 20x^8
A small bar of gold measures 20 mm by 250 mm by 2 mm. One cubic millimeter of gold weighs about
0.0005 ounces. Find the volume in cubic millimeters and the welght in ounces of this small bar of gold.
cubic millimeters and the weight of the bar is
The volume of the bar is
ounce(s).
Answer: 5 ounces
Step-by-step explanation:
volume is 20*250*2=10000 cubic mm
10,000*0.0005=5
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
To learn more about the probability visit:
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wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 2,000,000. 18) Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3.5% of the people in the area where a large wedding is to be held are pollotarian.
This means that [tex]p = 0.035[/tex]
300 guests
This means that [tex]n = 300[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.035[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]
What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?
This is 1 subtracted by the pvalue of Z when X = 0.05. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]
[tex]Z = 1.41[/tex]
[tex]Z = 1.41[/tex] has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:7.93%
Step-by-step explanation:
Help please will mark brainliest!!
Answer:
5,4 km
Step-by-step explanation:
we know the area and the width.
the formula of the area of a parallelogram is
A = length x width
if we substitute the values that we know, we have
23,1 = x * 4,3
to find x we have to divide the two members by 4,3
x = 23,3/4,3 = 5,4 km
53 POINTS!!!!!!!!!!!!!
Evaluate the polynomial for x=1
Answer:
2
Step-by-step explanation:
Hi there,
In order to solve this expression, you need to substitute x for 1.
You will end up with this expression:
3([tex]1^{2}[/tex]) - 2(1) + 1
Now, simplify the expression.
⇒ 3 - 2 + 1
⇒ 1 + 1
⇒ 2
Therefore, the answer when we evaluate the polynomial for x = 1 is 2.
200000*900000= what HELP PLEASE
I'll mark brainliest
Answer:
Step-by-step explanation:
1.8E11 is the correct answer
Answer:
200000*900000= 180000000000
Step-by-step explanation:
:))
Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
-8
Og+3
8
9+3
-8+g
3
+3
Answer:
[tex]\dfrac{-8}{x+3}[/tex]
Step-by-step explanation:
We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".
Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.
So, we can write it as follows :
[tex]\dfrac{-8}{x+3}[/tex]
Hence, this is the required solution.
Can someone help me please!
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
Distributing the minus sign in the given expression results in ...
6x +1 -3x -(-1)
6x +1 -3 +1 . . . . simplify
The two expressions that show the constant terms as +1 - 1 are erroneous. The two constant terms are +1 -(-1) or +1 +1.
The correct expressions are the 2nd, 3rd, and 5th ones (b, c, e).
Hauls Vegetable Market has the folloeing vegetables for sale.
Carrots cost 3.50$ per pound
Cucumbers cost 0.69$ per pound
Squash cost 2$ per pound
What will be the ckst for 2 1/2 pounds of carrots and 3/4 pound of squash cost
Answer:
The cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.
Step-by-step explanation:
Since Hauls Vegetable Market sells carrots that cost $ 3.50 per pound, cucumbers that cost $ 0.69 per pound, and squash that cost $ 2 per pound, to determine what will be the cost for 2 1/2 pounds of carrots and 3/4 pound. of squash the following calculation must be performed:
1/2 = 0.5
3/4 = 0.75
Carrots: 3.50 x 2.5 = 8.75
Squash: 2 x 0.75 = 1.50
8.75 + 1.50 = 10.25
Thus, the cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.
Hannah invested $96,000 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 % compounded quarterly. Evelyn invested $96,000 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Evelyn's money to double than for Hannah's money to double?
Answer:
.37 years
Step-by-step explanation:
I did this one in delta math
Plz help me the question is in the picture
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480
How long did it take Jason to reach his maximum height?
Answer:
5 seconds
Step-by-step explanation:
I did the same question a while ago.
Caroline misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 39?
Answer:
156
Step-by-step explanation:
39 * 4 = 156
Calculus helpppppppppppppppp
Answer:
[tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
FunctionsFunction NotationExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Algebra II
Logarithms and Natural LogsLogarithmic Property [Multiplying]: [tex]\displaystyle log(ab) = log(a) + log(b)[/tex]Logarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Calculus
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Logarithmic Derivative: [tex]\displaystyle \frac{d}{dx} [lnu] = \frac{u'}{u}[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = x\sqrt[3]{1 + x^2}[/tex]
Step 2: Rewrite
[Equality Property] ln both sides: [tex]\displaystyle lny = ln(x\sqrt[3]{1 + x^2})[/tex]Logarithmic Property [Multiplying]: [tex]\displaystyle lny = ln(x) + ln(\sqrt[3]{1 + x^2})[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle lny = ln(x) + ln \bigg[ (1 + x^2)^\bigg{\frac{1}{3}} \bigg][/tex]Logarithmic Property [Exponential]: [tex]\displaystyle lny = ln(x) + \frac{1}{3}ln(1 + x^2)[/tex]Step 3: Differentiate
ln Derivative [Implicit Differentiation]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx} \bigg[ ln(x) + \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Addition]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{d}{dx} \bigg[ \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{1}{3}\frac{d}{dx}[ln(1 + x^2)][/tex]ln Derivative [Chain Rule]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \frac{d}{dx}[(1 + x^2)][/tex]Rewrite [Derivative Property - Addition]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \bigg( \frac{d}{dx}[1] + \frac{d}{dx}[x^2] \bigg)[/tex]Basic Power Rule]: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot (2x^{2 - 1})[/tex]Simplify: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot 2x[/tex]Multiply: [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{2x}{3(1 + x^2)}[/tex][Multiplication Property of Equality] Isolate y': [tex]\displaystyle y' = y \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex]Substitute in y: [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex][Brackets] Add: [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{5x^2 + 3}{3x(1 + x^2)} \bigg][/tex]Multiply: [tex]\displaystyle y' = \frac{(5x^2 + 3)\sqrt[3]{1 + x^2}}{3(1 + x^2)}[/tex]Simplify [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Implicit Differentiation
Book: College Calculus 10e
PLEASE HELP:):):):):):):):)
Answer:
[tex]Area = 8[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]
[tex]Area = \frac{1}{2} *8 * 2[/tex]
[tex]Area = 8[/tex]
Hence, the area is 8 units square
I can't figure this out
9514 1404 393
Answer:
143 in²
Step-by-step explanation:
The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.
Then the total area is the sum of products of length and width:
A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²
A = 143 in²
The area of the irregular figure is 143 in².
An apartment complex stretched a string of decorative floats diagonally across a
rectangular pool. The width of the pool is 15 ft and the length of the pool is 20 ft.
What is the length of the a diagonal that the floats are stretched across ?
Answer:
25 feet
Step-by-step explanation:
Use the pythagorean theorem, where the width and length of the pool are the legs of the triangle.
Solve for c, the hypotenuse/diagonal
a² + b² = c²
15² + 20² = c²
225 + 400 = c²
625 = c²
25 = c
So, the length of the diagonal is 25 feet
"A driving instructor is investigating whether the time a driver spends in a driverâs education course improves their score on the driverâs test. The instructor randomly selected 10 drivers from a driverâs education course and recorded the number of hours each driver attended the driverâs education course and their corresponding score on the driverâs test. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?"
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference
Answer:
e. A matched pairs t-test for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.
Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .
When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.
2a^2 + 7 + 5b^3
when a = 2 and b= 3
Answer:
150
Step-by-step explanation:
2(2^2)+7+5(3^3)
2(4)+7+5(27)
8 + 7 + 135= 150
