Answer: Your computer will be worth $1,171.12
Step-by-step explanation:
\(a_n = 1500(0.94)^4\\a_n=\boxed{1171.12}\)
Henry's dog gets 38,6 grams of protein in each meal. How much protein does the dog get in 8 meals?
Answer: 308.8
Step-by-step explanation: 38.6* 8 = 308.8
A brick has a mass of 18.3 kg and a volume of 890 cm3.
Evaluate the density of the brick in g/cm3 rounded to 3 significant figures.
1 g/cm3
Answer
Calculate Volume ... the length and mass measurements all had 3 significant figures.
Step-by-step explanation:
G O O G L E
Item 2
Question 1
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
vertical, and x is 81
Step-by-step explanation:
The angles are across first each other, which means they are the same angle. From there, set x+3 equal to 84 (x+4=84). From there solve to get x
Round 521 to the nearest 100.
Answer:
500, because the 2 in the tens place is less than 5, meaning you round down.
An inflatable ball can be modeled as a hollow sphere. Jace measures the outer diameter of the ball to be 50 cm. If the material that makes up the ball has a thickness of 1 cm, find the total volume of material that makes up the ball. Round your answer to the nearest hundredth if necessary. (Note: diagram is not drawn to scale.)
we have that
The volume of a sphere is given by the formula
\(V=\frac{4}{3}*pi*r^3\)The interior diameter is equal to
D=50-2(1)=48 cm
r=48/2=24 cm
The volume is equal to the volume of the sphere with the outer diameter minus the volume of the sphere with the interior diameter
so
\(\begin{gathered} V=\frac{4}{3}*pi*[25^3-24^3] \\ V=7,544.01\text{ cm}^3 \end{gathered}\)The volume is 7,544.01 cm3HELP NOW!!!! thx :DDDD
Answer:
the second one
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
3 parts ginger ale to 2 parts raspberry juice
A rectangular container is 6 cm wide and 9 cm long, and contains water to a depth of 7 cm. An object is placed in
the water and the water rises 3,5 cm. What is the volume of the object?
Answer:
189 cm³
Step-by-step explanation:
Volume of the object equals the volume of water increased. To find the volume of the water that increased, subtract the volume of water after increasing from the volume of water before increasing.
Volume of the rectangular container before water rise:l = 9 cm ; w = 6 cm ; h = 7 cm
\(\boxed{\text{\bf Volume of rectangular prism = l*w*h}}\)
V₁ = 9 * 6 * 7
= 378 cm³
Volume of the container after water rise:l = 9 cm ; w = 6 cm ; h = 7 + 3.5 = 10.5 cm
V₂ = 9 * 6 * 10.5
= 567 cm³
Volume of the water that increased = V₂ - V₁
= 567 - 378
= 189 cm³
Volume of the object = 189 cm³
another way to find 4x2x5
Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.
What is multiplication?Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".
Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,
So,
4x2x5 = 40
So, in another method,
Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,
8x5 = 40
Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.
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The question is incomplete solved for:
Find the another method to solve 4x2x5
3 ( Q - 7 ) = 21
Q = ?
Answer:
Step-by-step explanation:
use distributive prop.
3 times q =3Q
3 Times -7 =-21
3Q-21=21
ADD 21 to both sides
3q=42
q=14 .
The parallel shown below has an area of 40 units^2. 5
Answer:
b = 8
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = base × height
Here A = 40 and h = 5 , then
base × 5 = 40 ( divide both sides by 5 )
base b = 8
Let's see
Area=Base×HeightSo
\(\\ \rm\rightarrowtail 5b=40\)
\(\\ \rm\rightarrowtail b=40/5\)
\(\\ \rm\rightarrowtail b=8units\)
Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804
Complete Question:
Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.
Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?
Answer:
1/6400 or 0.0000015625
Step-by-step explanation:
Given
Area Codes = 200 to 999 (inclusive)
Required
Determine the probability that back to back calls have area code 804
[First, we need to calculate the totality of area codes]
Total Area Codes = 999 - 200 + 1
Total Area Codes = 800
The probability of each code is 1/800
So, the probability of having back to back code of 804 is:
Probability = 1/800 * 1/800
Probability = (1/800)²
Probability = 1/640000
Hence, the required probability is 1/640000 or 0.0000015625
Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______
Answer it please
how to do it and the answers are above
i hope this help you
if you don't understand, please comment ✔️✔️✔️
Answer:
1h 54 mins
Step-by-step explanation:
What is asked? : time did they spend in BOTH ways
What are given? : time they go and back
Write the mathematical sentece :
\(( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = \)
Solution and answer : (24) + (90) = 114 mins
= 114 mins - 60 mins
= 1h 54 mins
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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please help (quickly) (you get 20 points(
The missing side of the right triangle has a length of 5 units.
Using the Pythagorean Theorem, we can find the length of the missing side of the right triangle. Recall that the Pythagorean Theorem states that for any right triangle, the sum of the squares of the lengths of the legs (the shorter sides) is equal to the square of the length of the hypotenuse (the longer side):
a² + b² = c²
where a and b are the lengths of the legs and c is the length of the hypotenuse.
In this triangle, we know that one leg has a length of 12 and the hypotenuse has a length of 13. Let's use a as the length of the other leg we're trying to find. Plugging these values into the Pythagorean Theorem, we get:
12² + a² = 13²
Simplifying and solving for a, we get:
a² = 13² - 12² a² = 169 - 144 a² = 25 a = 5
Therefore, the missing side of the right triangle has a length of 5 units.
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how to find the missing angle when given two sides of a right triangle?
Answer:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
m=-3/2
b=3
equation f(x) = -3/2x +3
Proportional
negative slope
Step-by-step explanation:
Set theory Need answers quick
Answer:
4. {2,4,6,8}
5. [(-2, -1), (1, 8)}
9. {0, 2}
Step-by-step explanation:
The intersection of the given sets is the set that contains elements common to all of the given the sets.
Which is the way to express 10+12 as the product of the GCF and another sum?
Answer:
The answer is pretty simple it's 12+10
Step-by-step explanation:
The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 24.2 \ gallons \ per \ year\)
The sample size is n = 101
The sample mean is \(\= x = 23.5 \ gallons\ per\ year\)
The standard deviation is \(\sigma = 3.2 \ gallons\)
The null hypothesis is \(H_o : \mu = 24.2\)
The alternative hypothesis is \(H_a : \mu \ne 24.2\)
Generally the test statistics is mathematically represented as
\(z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }\)
=> \(z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }\)
=> \(z = -2.198\)
From the z table the area under the normal curve to the left corresponding to -2.198 is
\(P(Z < -2.198 ) = 0.013975\)
Gnerally the p-value is mathematically represented as
\(p-value = 0.013975 * 2\)
=> \(p-value = 0.02795\)
From the value obtained we have that \(p-value \ < \ \alpha\) hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Using the Rejection Regions for a z-test method
Generally from the z table the critical value of \(\frac{\alpha }{2}\) is
\(z_{critical} = \pm 1.96\)
Not we are using \(\frac{\alpha }{2}\) because it is a two - tailed test
Now comparing the critical value and the test statistics we see that the
region covered by the test statistics (i.e \(2.198 < z < -2.198\)) is greater than the region covered by the critical value (i.e \(1.96 < z < -1.96\))
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
For what value of A is the function, (x), continuous at x=0?
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1
(iii) h(0) = 1/7
The value of λ must be 7, for h(x) to be continuous at x = 0.
The given function is,
h(x) = 1/7, when x = 0
= 1 - 2 cos 2x, when x < π/2
= 1 + 2 cos 2x, when x > π/2
= x cos x/sin λx, when x < 0
Now,
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1
(iii) h(0) = 1/7
Since the function is continuous at x = 0, so
\(\lim_{x \to 0}\) h(x) = h(0)
\(\lim_{x \to 0}\) x cos x/sin λx = 1/7
\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7
1/λ = 1/7
λ = 7
Hence the value of λ must be 7.
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I need to find the missing side given the area
Answer:
4
Step-by-step explanation:
The formula to the area of a triangle is 1/2(base) * height. Since it is asking to find the height and you are given the base, you need to solve:
1/2(6) * x = 12
multiply: 3x = 12
divide: x = 4
Marianna just completed her findings in her investigation of the importance
of sunlight in the growth of plants. She has to submit a report of no less than
4,900 words in 15 pages. She can only use two types of font for her report.
The normal font size allows 300 words per page while the smaller italic font
allows 350 words per page. What is the maximum number of pages in her
report that can be set using the normal font size?
Please I need help!!!!!
Answer:
17 pages
Step-by-step explanation:
if not that then 15 since it says "less than 4,900 words in 15 pages"
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer.
Part B: Write a function to represent the data. Show your work.
Part C: Determine the average rate of change between station 2 and station 4. Show your work.
Answer:
She will need a time of 1024 units to complete the 10th station.
Step-by-step explanation:
A. As the quotient between consecutive terms is the same, the data is a geometric sequence.
B. The recursive formula is:
C. She will need a time of 1024 units to complete the 10th station.
In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.
If the quotient between consecutive terms is the same, the sequence is geometric.
Item a:
When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.
Last year the Debate club had 17 members. This year there are 33 members in the club. Estimate the percent change in the number of club members.
We can estimate that the percent change in the number of club members from last year to this year is approximately 94.1%. This represents an almost doubling of the club membership.
What is the percent change?
Percentage change is a way to describe the difference between an old value and a new value, expressed as a ratio and then multiplied by 100.
To estimate the percent change in the number of club members, we can use the percent change formula:
percent change = (new value - old value) / old value x 100%
where the "old value" is the number of club members last year and the "new value" is the number of club members this year.
Plugging in the numbers we have:
percent change = (33 - 17) / 17 x 100%
percent change = 16 / 17 x 100%
percent change ≈ 94.1%
Therefore, we can estimate that the percent change in the number of club members from last year to this year is approximately 94.1%. This represents an almost doubling of the club membership.
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Find the volume of each solid. Round to the nearest tenth if necessary.. PLEASE HELP I WILL MAKE YOU BRAINLIEST IF YOU ANSWER THE CORRECT ANSWER AND GIVE A DESCRIPTION!!!
Answer:
half of 20 is 1010
Step-by-step explanation:
half of 20 is 1010 is your new radius so10^2 = 100100 x 3.14 = 314Now we multiply by the height:314 x 11 = 3,454 cm^3
Zach had surgery, which was his third claim of the year. He had a bill of $5000. Considering the prior visits, what is Zach’s portion of this bill and what is the responsibility of the insurance carrier?
Zach is supposed to pay $1000 for this surgery. The other $4000 is to be covered by his insurance.
Responsibility of insurance carriers:-
A primary function of an insurance agent is that of a communicator, counselor, and facilitator. The insurance agent can provide the best products and services for the prospective customer's various needs, such as life, property, health, and burglary insurance. When purchasing an insurance product, let the insurance agent know ahead of time how much money they have set aside for insurance coverage. In turn, the insurance agent will assist their clients in obtaining the lowest or best insurance product costs.
:- The insurance agent has a variety of responsibilities in the insurance industry, as noted below:
1) An insurance agent assists customers in promoting and selling insurance products and services.
2) Providing consumers with solid financial advice and personal service
3) Desires to work with individuals and their families and businesses.
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HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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PLEASE HELP WILL GIVE BRAINLIEST
The value of n that satisfies the given polynomial expression is 10
Simplifying a polynomial expressionFrom the question, we are to determine determine the corresponding value of n in the simplified expression.
The given expression is
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
First, we will simplify this expression
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)
(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)
Simplify further
(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)
(12x⁵ + (6 - 2n)x³ - 52nx² - 26)
By comparison with (12x⁵ - 14x³ - 520x² - 26)
(6 - 2n)x³ = - 14x³
and
- 52nx² = - 520x²
Solve (6 - 2n)x³ = - 14x³ for n
(6 - 2n)x³ = - 14x³
6 - 2n = - 14
6 + 14 = 2n
20 = 2n
n = 20/2
n = 10
Similarly,
Solve - 52nx² = - 520x² for n
52n = 520
n = 520/52
n = 10
Hence, the value of n is 10
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Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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