Answer:
Step-by-step explanation:
64 - 16= 48
\(\sqrt{48}\)
\(\sqrt{3*16}\)
4\(\sqrt{3}\)
9(2n+1) help please brooooooo
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a strawberry? (Please simplify your answer) 3 3 5 5 1/6 1/6 1/5
Answer:
\(Probability = \frac{1}{6}\)
Step-by-step explanation:
Given
Grape = 15
Cherry = 7
Lemon = 3
Strawberry = 5
Total = 30
Required
Determine the probability of picking a strawberry
The probability of drawing a strawberry is calculated by dividing the number of strawberry by the total number of fruits as follows;
\(Probability = \frac{Strawberry}{Total}\)
Substitute 5 for Strawberry and 30 for Total
\(Probability = \frac{5}{30}\)
Divide the numerator and denominator by 5
\(Probability = \frac{1}{6}\)
Hence, the required probability is \(\frac{1}{6}\)
i really need help!!!!!
there are like 5 questions.
Answer:
3
Step-by-step explanation:
The answer is three because u need to simply the fractions
Rewrite the following equation in exponential form.
log525 = 2
The first 5 is really small
Answer:
5² = 25
Step-by-step explanation:
log5 25 = 2
log(b) (x) = (y)
make b^(y) = (x)
5² = 25
I hope this helps!
There are 7 1/5 groups of 2/5 in 3 do you agree with this statement show reasoning
The statement made by Diego is correct.
In order to determine the number of groups of 5/6 that are in 1, 1 would be divided by 5/6.
1 ÷ 5/6
= 1 x 6/5 = 6/5
6/5 is called an improper fraction because the numerator is greater than the denominator.
6/5 can also be rewritten as a mixed fraction. If it is rewritten as a mixed fraction, it becomes 1 1/5.
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Given question is incomplete , the complete question is given below:
Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? Explain or show your reasoning.
Jamal has 44 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 192 square meters. List each set of possible dimensions (length and width) of the field
The two sets of possible dimensions for the rectangular plot of land are:
11 m x 22 m
8 m x 28 m
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be A
Now , the length of the rectangle be L
Let the width of the rectangle be W
Let's assume that the length of the rectangular plot of land is L meters and the width is W meters. Since Jamal has only 44 meters of fencing available, the perimeter of the enclosure will be 44 meters:
Perimeter = 2L + W = 44
W = 44 - 2L
The area of the rectangular plot of land is given as 192 square meters
Area = L x W = L x (44 - 2L) = 192
2L² - 44L + 192 = 0
Solving for L using the quadratic formula, we get:
L = (44 ± √(44² - 4 x 2 x 192)) / (2 x 2)
L = (44 ± √(1600)) / 4
L = (44 ± 40) / 4
So, the possible values of L are 11 and 8
If L = 11, then W = 44 - 2L = 22, and the dimensions of the rectangular plot of land are 11 m x 22 m
If L = 8, then W = 44 - 2L = 28, and the dimensions of the rectangular plot of land are 8 m x 28 m
Hence , the two sets of possible dimensions for the rectangular plot of land are 11 m x 22 m and 8 m x 28 m
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A delivery truck manager takes a sample of 25 delivery trucks and calculates the sample mean and sample standard deviation for the cost of operation. A 95% confidence interval for the population mean cost is constructed and found to be $253 to $320. He reasons that this interval contains the mean operating cost for the entire fleet of delivery trucks since the sample mean is contained in this interval.
Required:
a. Do you agree with his reasoning?
b. How would you interpret this confidence interval?
c. Is this an appropriate use of a confidence interval?
d. Concerning your answers to parts a through c, what assumptions did you make (if any)? Does the Central Limit Theorem apply? Why or why not?
e. How does this apply or could apply to your profession?
Answer:
a) No.
b) Lies between 253 and 320.
c) No.
d) Central limit theorem is not applicable here.
e) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision
Step-by-step explanation:
1) No I do not agree, it's just because the mean should be always within the confidence interval. in this case, the above statement doesn't satisfy the condition.
2)The true mean values at 95% confidence interval lies between 253 and 320.
3) No, because this is only used for the difference in mean. If there is a difference then the mean is different.
4) Central limit theorem is not applicable here. Since the sample size is very small, it better to use t distribution rather which indicated normal data.
in case the sample size is greater than 30, we can then apply the central limit theorem.
5) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision.
Find the 7th term of the geometric sequence
7, 24.5, 85.75, ...
Answer:
12,867.859375
Step-by-step explanation:
24.5/7 = 3.5
Geometric sequence
A_n = 7 * (3.5)^(n - 1)
A_7 = 7 * (3.5)^(7 - 1)
A_7 = 12,867.859375
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5660 and his stock in Company B was worth $2500. The stock in Company A has increased 5% since last year and the stock in Company B has increased 9%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary)
Using proportions, it is found that the total percentage increase in the investor's stock account was of 6.2%.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The values of the stocks of Company A and Company B, after the increase are given, respectively, by:
Company A: 5660 x 1.05 = $5,943.Company B: 2500 x 1.09 = $2,725.The total values are given as follows:
Before the increase: 5660 + 2500 = 8160.After the increase: 5943 + 2725 = 8668.The percent increase is given by the increase divided by the initial value and multiplied by 100%, hence:
P = (8668 - 8160)/8160 x 100% = 6.2%.
The total percentage increase in the investor's stock account was of 6.2%.
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Does each equation represent exponential decay or exponential growth?
Drag and drop the choices into the boxes to correctly complete the table.
Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the table.
A = (0.97)t
y=3.7(0.2)t
y= 9/11(4)t
P=7/9(5/4)t
V=0.8(9)t
P=0.9(8.3)t
g(x) = 2.1(x)
Solving the provided question, we can say that Not exponential growth or decay (no exponent) G(x)=1.3(x)
What is exponential growth?The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially.
The base of the exponentiation is the strongest indicator of whether an equation exhibits an exponential growth or decline.
It will be an exponential growth if the base is greater than 1.
It will be an exponential decay if the base is less than 1.
There won't be any exponential growth or decay if the function's exponent is zero.
Therefore: Decay exponential (base less than 1:
W = 9/8(3/5)t
f(t) = (3/4)t
L = 4.2(0.6)t
Exponential Growth (base larger than 1:
L = 0.25(12)t
W = 0.5(2.1)t
f(t) = 2/3(6)t
Not exponential growth or decay (no exponent):
G(x)=1.3(x)
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Which graph represents the function fx) =|x–4?
The image below shows the graph f(x) = |x| – 4
Hope this helps! :)
In certain deep parts of oceans, the pressure of sea water,P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation P=14+ 4d/9
If a scientific team uses special equipment to measure the pressure under water and find it to be 306 pounds per square foot, at what depth is the team making their measurements?
It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.
The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.
Substituting P = 306 in the equation, we get:
306 = 14 + 4d/9
Multiplying both sides by 9, we get:
2754 = 126 + 4d
Subtracting 126 from both sides, we get:
2628 = 4d
Dividing both sides by 4, we get:
d = 657 feet
The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.
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Gwyn earned $36 walking 4 dogs one time each. She divides to find that she earned $9 per walk. Which equations can she use to check her calculation? Check all that apply. 9 + 9 + 9 + 9 = 36 9 × 4 = 36 9 × 9 = 81 36 – 9 – 9 – 9 – 9 = 0 36 – 9 = 27
Answer: 9+9+9+9=36, 9×4=36, and 36-9-9-9-9=0.
Step-by-step explanation: please give brainliest
Prove the identity.cot x (sec^2x-1)= tan x
Using one of the Pythagorean Identities, we can replace sec²x with 1 + tan²x. The equation above becomes:
\(cot\text{ }x(1+tan^2x-1)=tan\text{ }x\)Applying Algebra, we can add the terms 1 and -1 in the parenthesis. The equation becomes:
\(cot\text{ }x(tan^2x)=tan\text{ }x\)Applying the reciprocal of cot x, we can replace cot x with 1/tan x.
\((\frac{1}{tanx})(tan^2x)=tanx\)Divide tan²x by tan x and the quotient is:
\(tan\text{ }x=tan\text{ }x\)As we can see above, the left side of the equation has been proven to be equal to its right side. Hence, the trigonometric equation is an identity.
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 84 square inches. Solve for the dimensions (length and width) of the poster.
Step-by-step explanation:
w = width
2w + 2 = Length
Area = W x L = 84 = w (2w+2)
84 = 2w^2 + 2w
0 = 2w^2 + 2w - 84 Use Quadratic Formula
a = 2 b=2 c = -84
to find
W = 6 then L = 14 inches
6 divided by 0.528 long division (answer QUICKLY)
Answer: 11.36
Step-by-step explanation:
↓ Please look in the screenshot below...
Yo! Can someone help me with this?
Answer:
w=39 degrees and r=51 degrees
Step-by-step explanation:
The sum of the angles in a triangle should equal 180 degrees. Knowing this we take (38+103) - 180 = 39. Since opposite angles are always congruent, we can conclude that w is also 39 degrees. Thus we take (39+90)-180 = 51 degrees. (We know that one side is 90 degrees because it has a right angle)
Hope that helps! :)
if the risk-free rate is 5 percent and the risk premium is 7 percent. what is the required return?
Re-write the quadratic function below in Standard Form
y=2(x+2)(x−4)
Answer:
Standard form:
y=2x^2-4x-16
The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
A. 14 cm
B. 49 cm
C. 60 cm
D. 7 cm
Answer:
the answer is 14
Step-by-step explanation:
\(1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14\)
hope this helped
The sum of the bases of a trapezoid using height is 20 cm is 14 cm.
Thus, option (A) is correct.
The formula to calculate the area of a trapezoid is given by:
Area = 1/2 x height x sum of bases
Given that the area is 140 cm² and the height is 20 cm.
Now, rearrange the formula to solve for the sum of the bases:
Sum of bases = (2 x Area) / (height)
Substitute the given values:
Sum of bases = (2 x 140) / (20)
= 14
So, the sum of the bases is 14 cm.
Thus, option (A) is correct.
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Which of the lines shown above has a negative slope?
(1)A
(2)B
(3)C
(4)D
(5)E
Rotation - Question 5
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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45 x 6 = 6 x 45 what multiplication property
Answer:
commutative property of multiplication
Step-by-step explanation:
doesnt matter 2*1 or 1*2 you will get the same answer
28+16x^4 i need it factored completely
Answer:
\(4(x^4+7)\)
Step-by-step explanation:
Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
A car travels 120 miles from A to B at 30 miles per hour but returns the same distance at 40 miles per hour. The average speed for the round trip is closest to?
The average speed formula is given by:
\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)
Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.
Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).
For the journey from A to B:
\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours
For the return journey from B to A:
\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours
The total time for the round trip is the sum of the individual times:
\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours
Now, we can calculate the average speed:
\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.
Therefore, the average speed for the round trip is closest to 34.29 miles per hour.
Find the coordinates that will make this equation true? PLEASE HELP!!!
Answer:
2.4 makes it true!
I love you
yea yea yea yea yea
Step-by-step explanation:
An apple costs 12p
I
An orange costs 20p
Write down an expression for the
cost in pence of buying x apples
and y oranges
Answer:
the cost of an apple is 12p i.e. 12x
And, the cost of an orange is 20p i.e. 20y
Step-by-step explanation:
Let us assume the apple be x
And, the orange be y
Now the cost of an apple is 12p i.e. 12x
And, the cost of an orange is 20p i.e. 20y
So the above represents an expression
Find RS. Explain your reasoning.
6x + 5 9x - 4
RS=
The value of line RS is 23
How to determine the valueFrom the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.
Note that the sides of a square are equal to each other.
The relationship is represented as;
Line PS = Line PQ = Line QR = Line RS
We have that;
Line PS = 6x - 5Line RS = 9x - 4Substitute the expressions
6x - 5 = 9x - 4
Now, collect like terms
6x - 9x = - 4 - 5
Subtract the like terms
-3x = -9
Make 'x' the subject of formula
-3x/-3 = -9/-3
x = 3
Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23
Hence, the value is 23
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Pls answer ASAP!! Triangle ABC is shown.