Brent bought 6 potted plants for his co-workers. Each plant cost $7.91. How much money did he spend on his co-workers?
Answer:
Brent spent $47.46 on his co-workers
Step-by-step explanation:
7.91 times 6
need help fast!!!!!!!!!! :)
Step-by-step explanation:
with what that would help me
Suppose a friend tells you about an annuity that pays 6% annual interest, compounded semi-annually. You invest in the
annuity contributing $10,000 semiannually for 6 years. What is the value of the annuity after your last investment?
The value of the annuity after the last investment is $141,920.
You are looking for the future value of an annuity.
Future value of annuity = Annuity x Future value interest factor of annuity
Because this annuity is compounded semi-annually, you need to convert the figures to a semi-annual basis:
Number of periods = 6 years x 2 = 12 semi annual periods
Interest = 6% / 2 = 3% per semi annum
Future value of annuity = Annuity x Future value interest factor of annuity 3%, 12 periods
= 10,000 x 14.1920
= $141,920
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Answer: 141900
Step-by-step explanation:
The ratio of boys to girls is 4:5 if there are 20 boys in the class find the number of girls. Show workings
Answer:
25 girls
Step-by-step explanation:
We Know
The ratio of boys to girls is 4:5. For every 4 boys, there are 5 girls.
To get from 4 to 20, we multiply by 5.
We Take
5 x 5 = 25 girls
So, there are 25 girls in class.
Answer: 25 girls are in the class
Step-by-step explanation: You can set up the ratio 4:5 as a fraction, \(\frac{4}{5}\) to find your answer. You are given the fact that 20 boys are in the class so now you can solve 2 ways.
Option 1 - Set up the equation algebraically as \(\frac{20}{x}\), where x = number of girls and set that equal to \(\frac{4}{5}\). This way allows you to see that the fraction must have the same ratio as 4:5. You can see that 4 x 5 = 20, so the multiple factor is 5. The variable x must equal 5 x 5, so x = 25.
Option 2 - Multiply the amount of boys given to you by the reciprocal of the ratio. Instead of using \(\frac{4}{5}\), you have to use \(\frac{5}{4}\) because there are more girls than boys in the class. This allows you to finish the problem by multiplying 20 x \(\frac{5}{4}\) to get the result of \(\frac{100}{4}\), which you may know simplifies into 25.
Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of I100 items is drawn from this population. What is the standard error of the mean?
The standard error of the mean is 0.75
How to determine the standard error of the mean?From the question, we have the following parameters that can be used in our computation:
Mean weight of 180 pounds Standard deviation of 25 pounds.Sample size of 1100Using the above as a guide, we have the following:
Standard Error = Standard deviation/Square root of sample size
Substitute the known values in the above equation, so, we have the following representation
Standard Error = 25/√1100
Evaluate
Standard Error = 0.75
Hence, the standard error is 0.75
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
find the sum of the first 50 odd numbers
why do we use sampling with replacement instead of sampling without replacement? incorporate the definion of sampling with replacement.
Sampling with replacement is a type of sampling technique in which the same unit can be selected multiple times from the sample population.
This type of sampling is used when the size of the sample population is very large and it is not possible to select a unique unit from the population. The formula for sampling with replacement is nCr, where n is the population size and r is the sample size. For example, if the population size is 10 and the sample size is 3, then the total number of combinations would be 10C3 = 120. This means that 120 possible samples can be selected from the population, with each unit having an equal probability of being selected. Sampling with replacement is often used in statistical analysis to generate a representative sample of the population.
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what is the electron domain charge cloud geometry of brf5
The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).
\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.
In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.
Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
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Maria finished with 160 percent of her original amount. If she finished with 7200, what was Maria's original amount
On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
the equation will be
1.8x=7200
x=7200/1.8
x=4000
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Find the number of outcomes in the complement of the given event. out of 301 apartments in a complex, 138 are available for rental.
The number of outcomes in the complement of the event is 163
How to find the number of outcomes in the complement of the event?The statement is given as:
Out of 301 apartments in a complex, 138 are available for rental.
This means that
Apartments = 301
Rental = 138
The complement is calculated as:
Complement = Apartment - Rental
So, we have
Complement = 301 - 138
Evaluate
Complement = 163
Hence, the number of outcomes in the complement of the event is 163
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A business venture can result in the following outcomes (with their corresponding chance of occuring in parentheses): highly successful (10%), successful (25%), break even (25%), disappointing (20%), and highly disappointing (unknown). if these are the only outcomes possible for the business venture, what is the chance that the business venture will be considered highly disappointing?
Based on the given information, the chance of the business venture being considered highly disappointing is unknown.
The probabilities for all the outcomes are provided except for the probability of the business venture being highly disappointing. Without knowing the specific probability assigned to the highly disappointing outcome, it is not possible to calculate the chance or provide an exact value.
It is important to note that the term "unknown" suggests that the probability for the highly disappointing outcome has not been provided or determined. It could be the case that the probability was not included in the given information or that it is simply not available. Without this specific probability, it is not possible to calculate the overall chance of the business venture being highly disappointing.
In summary, the chance or probability of the business venture being highly disappointing cannot be determined without the specific probability assigned to that outcome.
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Find the sum of the finite sequence: 4, 2, 0, -2, - 4.
A12
B0
C1
D4.
Answer:
b.) 0
Step-by-step explanation:
i just took the test
Answer:
Step-by-step explanation:
Please help school is ending soon!
Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.
Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches
Answer:
Adjacent = 9.75 inches.
Step-by-step explanation:
Given the following data;
Hypothenus = 12 inches
Opposite = 7 inches
To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;
Hypothenus² = opposite² + adjacent²
Substituting into the formula, we have;
12² = 7² + adjacent²
144 = 49 + adjacent²
Adjacent² = 144 - 49
Adjacent² = 95
Taking the square root of both sides, we have;
Adjacent = 9.75 inches.
Therefore, the other leg is 9.75 inches.
Find the centroid of the region in the first quadrant bounded by the given curves. y = x4, x = y4
The given bounded region is the set
\(R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}\)
assuming the curves are \(y=x^4\) and \(x=y^4\implies y=x^{1/4}\) (since \(x>0\) in the first quadrant).
The coordinates of the centroid are \((\bar x, \bar y)\) where \(\bar x\) and \(\bar y\) are the average values of \(x\) and \(y\), respectively, over the region \(R\). These are given by the ratios
\(\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}\)
Compute the area of \(R\).
\(\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35\)
Integrate \(x\) and \(y\) over \(R\).
\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}\)
\(\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}\)
Then the centroid's coordinates are
\(\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463\)
\(\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}\)
The pair of polygons is similar. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
In similarity polygons, the corresponding sides are in same proportion.
\(\dfrac{RP}{VZ} = \dfrac{MP}{WZ}\\\\\dfrac{3x-1}{4} =\dfrac{8x -1}{12}\\\\\\Cross \ multiply,\\\\12*(3x -1) = 4*(8x - 1)\)
12*3x - 12*1 = 4 *8x - 4*1 {Distributive property}
36x - 12 = 32x - 4
Add 12 to both sides,
36x = 32x - 4 + 12
36x = 32x + 8
Subtract 32x from both sides,
36x -32x = 8
4x = 8
Divide both sides by 4,
x = 8 ÷ 4
x = 2
Anna spent 1 hour 25 minutes less than Joey reading last week. Joey spent 45 minutes less than Pete. Pete spent 3 hours reading. How long did Anna spend reading?
Answer:
Anna spent 50 minutes reading
Step-by-step explanation:
Pete spent 180 minutes reading. Since Joey spent 45 minutes less than Pete, you can do 180-45=135. So, Joey spent 135 minutes reading. Using this, we know that Anna spent 85 minutes less than Joey. So we can do 135-85=50 minutes.
Hope this helps!
SOMEONE PLEASE TRY AND HELP ME ASAPPPP‼️‼️‼️ WHO’S GOOD AT MATHS⁉️
I NEED AN EXPERT PLEASEEEE‼️‼️‼️
HELP PLEASE‼️
Hmmmm
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For which value of m is start fraction 4 over 16 end fraction equals start fraction m over 24 end fraction a proportion?
A. m = 6
B. m = 8
C. m = 12
D. m = 14
I think its C
Express 2.099×104 in normal notation
The number 2.099×\(10^4\) can be expressed in normal notation as 20,990.
To express the number 2.099×\(10^4\) in normal notation, we need to move the decimal point to the right by the exponent value of 10^4, which is 4. By doing so, we obtain the value of 20,990.
Here's the step-by-step calculation:
Start with the given number: 2.099×\(10^4\).
To move the decimal point to the right, we increase the value by a factor of 10 for each position we move.
Since the exponent is 4, we move the decimal point four positions to the right.
After moving the decimal point, we have the value 20,990.
Thus, the number 2.099×\(10^4\) is expressed in normal notation as 20,990.
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1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
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Create a proportional ratio
to the given ratio
1/8 = ?
Proportional ratio to the ratio 1/8 = 2/16 or 4/32 or 3/24 and so on.
What is proportional ?
A proportionality is a ratio which thus examines two numbers. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. Proportions are denoted by the symbols "::" or "=".
According to Question
As long as you multiply or divide by the same number to both the numerator and denominator you will get a proportional ratio
Therefore:
When we Multiple 2 to numerator and denominator
we get 2/16.
When we Multiple 3 to numerator and denominator
we get 3/24.
When we Multiple 4 to numerator and denominator
we get 4/64/.
AND So on
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answer please help please
Answer:
89*
Step-by-step explanation:
To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).
To find that angle (let's call it x), we have to use an equation.
Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.
x + 53 + 36 = 180
x + 89 = 180
x = 91
Now to find m<1, we need to use the supplementary angles theorem.
Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.
x + m<1 = 180
91 + m<1 = 180
m<1 = 89
Hence, m<1 is 89*!
Hope this helped! <3
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Which can you use to find the solution set for 2|1-x|+1≥3?
A) 1-x≥-1 AND 1-x≤1
B)1-x≤-1 OR 1-x≥1
C) 1-x≤-1 AND 1-x≥1
D) 1-x≥-1 OR 1-x≤1
Answer:
B)1-x≤-1 OR 1-x≥1
\(S=\{x\in\mathbb{R}| x\le 0\quad \text{or}\quad x\ge 2 \}\)
Step-by-step explanation:
\(2|1-x|+1\geq 3\)
\(2|1-x|\geq 2\)
\(|1-x|\geq 1\)
Once we have an absolute value inequality, remember that:
For a > 0
\(\boxed{\text{If } |x|\leq a \Longleftrightarrow -a\leq x \leq a}\)
\(\boxed{\text{If } |x|\geq a \Longleftrightarrow x\leq -a \text{ or } x\geq a }\)
Therefore,
\(1-x\le -1\quad \text{or}\quad 1-x\ge 1\)
Solving
\(1-x\le -1 \Longleftrightarrow x\geq 2\)
\(1-x\ge 1 \Longleftrightarrow x\leq 0\)
We have
\(x\geq 2 \quad \cup \quad x \leq 0\)
\((-\infty, 0] \cup [2, \infty)\)
\(S=\{x\in\mathbb{R}| x\le 0\quad \text{or}\quad x\ge 2 \}\)
Which type of cable is uses a two-number designator consisting of core and cladding measurements?
Fiber optic type of cable is uses a two-number designator consisting of core and cladding measurements.
What does fiber optics serve?
Fiber optics are used for long-distance and high-performance data networking. It is often used in other telecommunications services as well, including internet, television, and telephones.What methods are used to deploy fiber optics?
Installing fiber optic cable indoors or outdoors can be done using a variety of installation methods. Outdoor cable can be buried or placed in between poles. It may also be blasted or dragged into an innerduct or conduit.Can fiber optics compete with the internet?
When compared to normal cable internet and DSL, fiber optic internet is about 20 and 80 times faster. Fiber is the best choice for the majority of internet users because it only costs $10 to $20 more each month.Learn more about fiber optics
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You buy 3. 18 pounds of oranges 1. 35 pounds of grapes and 1. 72 pounds of apples what is your total bill
Answer:
5
Step-by-step explanation:
Oranges: 3.46 $
Grapes: 1.36 $
Apple: They didn't leave you with the cost of the apple so I don't know
Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.
Brainlist maybe? :)
is 12 - 3z + 6z2 and 6(z - 2) equivalent
Answer:
\(\mathbb{ ANSWER }\)
NOPE
Post 3 things you Notice or 3 things you Wonder about this image
I wonder why they teeth look like that and them
a two-dimensional form that occupies an area is called a(n)
A two-dimensional form that occupies an area is called a shape.
Shapes can be various types such as rectangles, circles, triangles, and many others, and they are defined by their properties such as sides, angles, and vertices. They are defined by their boundaries or edges and exist within a plane. These forms have dimensions of length and width, but not depth. Shapes play a fundamental role in geometry and are studied extensively in mathematics and art. They can be simple or complex, symmetrical or asymmetrical, and are used to represent objects, patterns, or designs. Whether in the natural world or man-made creations, shapes are integral to our understanding and appreciation of visual compositions.
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