Answer:
27/4
Step-by-step explanation:
Multiply both sides by 9/(-4).
9/−4 * −4/9 f = 9/−4 * −3
f = 27/4
what's a rational number between 13 and 21
Answer:
21
Step-by-step explanation:
Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2
Find the product of the following
1. (2x - 5)(2x + 5)
2. (5b - 6y)(5b + 6y)
3. (4k + 7)(4k - 7)
4. (y - 5)(y + 5)
5. (3x - 2)(3x + 2)
6. (13x + 2x^3)(13x - 2x^3)
7. (2a + 1)(2a - 1)
8. (9y^2 + 8)(9y^2 - 8)
Step-by-step explanation:
hey, hope this helps. :)
Answer:
The solution is 6-->4-->9-->7-->1
Step-by-step explanation:
Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
√ 20x^8
Which graph shows a dilation?
Answer:
Step-by-step explanation:
Sorry but im struggling with this too :(
Part A
What are the possible outcomes of rolling a six-sided die?
Answer:
the possible outcomes are :
one (1)two (2)three (3)four (4)five (5)six (6)What is the slope of the line that passes through the points (3, 4) and (0, -2)
Answer:
The slope is :
4-(-2)/0-3
4+2/-3
6/-3
-2
-2 is the slope
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
What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers
Answer:
perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)
Step-by-step explanation:
Or use the formula P = 4a = 4(3) = 12 (cm)
Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer:
Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and
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
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
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:
:))
7. Which equation can be used to find V, the
volume of the triangular prism in cubic feet?
6
17
10
Answer:
V = 1/3 x base x height
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).
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.
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PLEASEEE HELP I WILL GIVE YOU BRAINIEST!!!!!
What is 1.23625 rounded to the nearest cent?
Answer:
1.24
Step-by-step explanation:
2. The angles of a pentagon are 6x, (2x + 20°),(3x - 20%), 2x and 14x. Find x. Please answer please please
Answer:
x=20
Step-by-step explanation:
a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers
Answer:
I'm pretty sure this is the answer....
The speakers are $56.
Sorry if i'm wrong. :')
Step-by-step explanation:
Answer:
You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?
First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.
Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:
0.350 x $160 = $56.00.
So for this sale, you'll save $56.00 on this item.
This means, the cost of the item to you is
$160 - $56.00 = $104.00.
Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).
Now what's 65.000% of the total cost?
0.650 x $160 = $104.00.
Just like the result above, the sale price on the item is $104.00
PLEASEEE HELP PLS ASAPPP GIVING BRAINLIEST!!!!
Answer:
50 is the answer brainliest?
Step-by-step explanation:
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
3) Emma has a loyalty card good for a 10% discount at her local pharmacy.
What would her total in dollars and cents be, after the discount and
before tax, if the total cost of all the items she wants to buy is $32.40?
Answer:
The price of the items before the discount was $36.
Step-by-step explanation:
Since Emma has a loyalty card good for a 10% discount at her local pharmacy, to determine what her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $ 32.40, the following calculation must be made:
100 - 10 = 90
90 = 32.40
100 = X
100 x 32.40 / 90 = X
3240/90 = X
36 = X
Therefore, the price of the items before the discount was $ 36.
hi can anyone help me with this
Answer:
i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)
The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02
Answer:
A. $0.89
Step-by-step explanation:
To find the constant of proportionality, find the cost of one pound of potatoes
3.56/4
= 0.89
So, the constant of proportionality is $0.89
The correct answer is A. $0.89
Please help .. would be appreciated
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
Which graph represents an exponential function?
PLEASE HELP!!! I GIVE 15 POINTS!
Flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet. What is the probability that a carpet that is 7 feet by 14 feet contains no flaws?
Probability =
Enter your answer in terms of e.
Answer:
The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.
Step-by-step explanation:
Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:
7 x 14 = 98
1/260 = 0.003
98 = 100
0.003 = X
0.003 x 100/98 = X
0.0039 = X
100 - 0.0039 = 99.996
Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.
find the area of the kite
Answer:
396
Step-by-step explanation:
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
8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
free throws he attempts. Josh makes 80% of his free throws. Suppose we take
separate random samples of 50 free throws each from Daren and Josh, and
record the proportion of free throws that are made by each. Which of the
following best describes the sampling distribution of PD - Pj?
Answer:
B) Approximately normal, with mean -0.05 and standard deviation 0.083
Step-by-step explanation:
The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.
The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
What is the distribution of population proportion?For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity, and n = size of sample drawn.Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
Here, we're specified that:
For proportion of correct free throw attempts by Daren:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_D = 75\% = 0.75[/tex]Let the population proportion be represented by variable [tex]p_D[/tex]For proportion of correct free throw attempts by Josh:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_J = 80\% = 0.8[/tex]Let the population proportion be represented by variable [tex]p_J[/tex]And therefore, we have:
[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]
And therefore, we get:
[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).
Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:
[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]
Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
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