Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
What is the rate of change of the following equation?
y = X-3
help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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how much would it cost for a 9 hour repair
Answer:
It would cost as much as it would say it costs
Step-by-step explanation:
it will cost as much as it will
Expand and fully simplify 3(x + 1) + 2(3x + 4)
Answer:
\(\Large\boxed{\sf{9x+11}}\)Step-by-step explanation:
Given:
Isolate the term of x from one side of the equation.
Use the distributive property.
DISTRIBUTIVE PROPERTY:
\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)
Each term within the parentheses can be multiplied by a factor outside the parentheses.
3(x+1)
3*x=3x
3*1=3
Rewrite the expression down.
3x+3
3x+3+2(3x+4)
Multiply expand.
2(3x+4)
2*3x=6x
2*4=8
6x+8
3x+3+6x+8
Combine like terms.
3x+6x+3+8
Add the numbers from left to right.
3+8=11
3x+6x+11
Add.
Solutions:
3x+6x=9x
\(\Longrightarrow: \boxed{\sf{9x+11}}\)
Therefore, the final answer is 9x+11.I hope this helps. Let me know if you have any questions.
can someone answer this? round from the nearest hundredth too!
Answer:
3 i think
Step-by-step explanation:
The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb
Answer:
The probability is 0.0011 to 4 d.p
Step-by-step explanation:
Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45
q is weighing less than = 1-p = 1 - 0.45 = 0.55
So the probability of more than 12 weigh 65 lb
That means 13, 14 or 15 weigh more than 65 lb
We can use Bernoulli approximation of Binomial distribution to get this;
That would be ;
15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0
= 0.001107024147 Which is approximately 0.0011 to 4 decimal place
ted directions. 1. how many ways can six of the letters of the word algorithm be selected and written in a row if the first letter must be a.
There are 4,320 ways to select six of the letters of the word algorithm and write them in a row if the first letter must be "a".
There are 7 letters in the word "algorithm", and we need to select 6 of them and arrange them in a row such that the first letter is "a". We can first choose the remaining 5 letters from the remaining 6 letters (excluding "a") in 6 choose 5 ways
⁶C₅ = 6!/5! = 6
Once we have chosen the 5 letters, we can arrange the 6 selected letters (including "a") in a row in 6! ways. Therefore, the total number of ways to select 6 letters and arrange them in a row with the first letter being "a" is
⁶C₅ × 6! = 6 × 720 = 4,320
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In the diagram,the sum of the values of x and z is 116.What is the value, in degrees, of y?
Answer:
the value of y equal to 122
Answer:the sum of y is equal to 122
Danny and Ariana are buying a commercial building for their new business. The assessed value of the building is $500,000 and the market value is $457,350. They will put a down payment of 20%.
a. What will the property taxes be on the assessed value of the building if the taxes are 2.415%?
b. What will their monthly payment be if they take a 30-year mortgage at a 4.55%?
c. How much interest will they pay on the 30-yr mortgage for the life of the loan?
d. What will be the range for their closing costs?
e. If they take a balloon mortgage instead at a 3.5%, what is the monthly payment, before paying off the balloon?
For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term.
a. Property Taxes:
The assessed value of the building is $500,000, and the property tax rate is 2.415%. To calculate the property taxes, we multiply the assessed value by the tax rate:
Property taxes = Assessed value * Tax rate
Property taxes = $500,000 * 2.415% (convert percentage to decimal)
Property taxes = $500,000 * 0.02415
Property taxes = $12,075
Therefore, the property taxes on the assessed value of the building will be $12,075.
b. Monthly Mortgage Payment:
To calculate the monthly mortgage payment, we need to consider the loan amount, interest rate, and loan term. The down payment is 20%, so the loan amount will be 80% of the market value of the building:
Loan amount = Market value * (1 - Down payment percentage)
Loan amount = $457,350 * (1 - 20%) (convert percentage to decimal)
Loan amount = $457,350 * 0.8
Loan amount = $365,880
We can now use this loan amount, along with the mortgage interest rate and loan term, to calculate the monthly payment using the formula for a fixed-rate mortgage:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
The monthly interest rate is the annual interest rate divided by 12, and the total number of months is the loan term multiplied by 12.
Annual interest rate = 4.55% (convert percentage to decimal)
Monthly interest rate = 4.55% / 12
Loan term = 30 years
Total number of months = 30 * 12
Now, let's calculate the monthly payment:
Monthly payment = ($365,880 * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
c. Total Interest Paid:
To calculate the total interest paid over the life of the loan, we multiply the monthly payment by the total number of months and subtract the loan amount:
Total interest paid = (Monthly payment * Total number of months) - Loan amount
d. Closing Costs:
The closing costs can vary, but a common range is between 2% and 5% of the purchase price. To calculate the range for closing costs, we'll use these percentages:
Minimum closing costs = Purchase price * 2%
Maximum closing costs = Purchase price * 5%
e. Balloon Mortgage Payment:
For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term. To calculate the monthly payment for the balloon mortgage, we'll use the loan amount, interest rate, and loan term:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
Now, let's calculate the monthly payment for the balloon mortgage.
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Stacy is eating lunch at a restaurant with her mom and dad. she orders a bowl of miso soup for $2.79, seaweed salad for $3.59, and pork dumplings for $4.99. her paren ts both decide to order the same items as stacy. how much money does the meal cost for the entire family?
We need to use simple multiplication to solve the problem. The total cost for the entire family is $34.11
It is said that Stacy orders a miso soup for $2.79, a seaweed salad for $3.59 and pork dumplings for $4.99. It is given that both Stacy's mom and dad order the same thing, we need to find the total cost of the meal that they had. We can say that the each item was ordered thrice the quantity, so we need to multiply each price with 3 and add the prices to get the final cost.
total cost= 2.79x3 +3.59x3+4.99x3=34.11
Therefore the total cost of the meal is $34.11
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find m so that 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13
The value of m = 4 satisfies the equation 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13.
What are exponents?Exponents are a type of mathematical notation used to describe repeated multiplication of a single integer. Exponents are sometimes referred to as powers or indexes. The exponent, which denotes how many times the base number should be multiplied by itself, is represented as a superscript to the right of the base number.
From the given statement the algebraic expression is:
\(9^{(2m)} / 9^{(-5)} = 9^{13}\)
Using the rule of exponents:
\(9^{(2m + 5)} = 9^{13}\)
2m + 5 = 13
2m = 8
m = 4
Hence, m = 4 is the value that satisfies the equation 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13.
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Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places
The difference in the proportion of males and the proportion of females that smoke is 0.08
Missing informationIn a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
How to determine the proportion difference?The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
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Please help with this math qs!!
Step-by-step explanation:
Find the radius: 6 ÷ 2 = 3m
Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m
Area = pi x 3cm x 3cm = 28.27m2
Calculate the circumference and area of given triangle.
Formula applied:Circumference of circle = 2πr
Area of circle = πr²
Solution:Radius,r = diameter/2 => 6/2 = 3 m
( i ) As we know that formula of circumference,
Circumference of circle = 2πr
\( \bf \: \star \: putting \: the \: values\)
\( \implies \: 2 \times 3.14 \times 3\)
\( \implies \: 6.28 \times 3\)
\( \implies \: 18.84 \: m\)
(ii) As we know,
Area of circle = πr²
\( \bf \star \: putting \: the \: values\)
\( \implies \: 3.14 \times {(3)}^{2} \)
\( \implies \: 3.14 \times 9\)
\( \implies \: 28.26 \: m {}^{2} \)
You scored 12, 8, 15, and 21 points during your first four basketball games. Find your mean score per game
Given:
You scored 12, 8, 15, and 21 points during your first four basketball games.
To find"
The mean score per game.
Solution:
We have,
Observations =12, 8, 15, and 21 points
Number of observations = 4
We know that,
\(\text{Mean}=\dfrac{\text{Sum of the observations}}{\text{Number of observations}}\)
The mean score per game is
\(\text{Mean}=\dfrac{12+8+15+21}{4}\)
\(\text{Mean}=\dfrac{56}{4}\)
\(\text{Mean}=14\)
Therefore, the mean score per game is 14 points.
the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of
The 28th percentile for the number of chocolate chips in the bag is 1192.206.
To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.
Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583
The formula for finding X (the number of items in a given percentile) is:
X = M + Z(S.D.)
Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.
So for the 28th percentile,
X = 1261 + (-0.583)(118)
X = 1261 - 68.79 = 1192.206
Hence the 28th percentile is 1192.206
Question:the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. determine the 28th percentile
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hey again can u help me with this
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
\(slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2\)
Step 2 : equation of the line :
\(( y - y_1) = m (x- x_1)\)
\((y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1\)
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives indicated that the mean time per week is 13 hours, with a standard deviation of 2.5 hours. The estimate of the mean viewing time should be within 30 minutes. The 98% level of confidence is to be used. (Use z Distribution Table.) How many executives should be surveyed? (Round the z-score to 2 decimal places and final answer to the next whole number.)
Since we need to round the final answer to the next whole number, the required sample size is 544 executives.
To determine the required sample size for the survey, we will use the formula for sample size calculation with a known standard deviation and a desired margin of error:
n = (Z * σ / E)^2
where:
n = required sample size
Z = z-score corresponding to the desired confidence level (98%)
σ = population standard deviation (2.5 hours)
E = margin of error (0.5 hours, which is 30 minutes)
First, we need to find the z-score corresponding to a 98% confidence level. Using the z Distribution Table, we find that the z-score is approximately 2.33.
Now, we can plug in the values into the formula:
n = (2.33 * 2.5 / 0.5)^2
n = (11.65 / 0.5)^2
n = 23.3^2
n ≈ 543.29
Since we need to round the final answer to the next whole number, the required sample size is 544 executives.
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Angela took a general aptitude test and scored in the 95 th percentile for aptitude in accounting. (a) What percentage of the scores were at or below her score? × % (b) What percentage were above? x %
The given problem states that Angela took a general aptitude test and scored in the 95th percentile for aptitude in accounting.
To find:(a) What percentage of the scores were at or below her score? × %(b) What percentage were above? x %
(a) The percentage of the scores that were at or below her score is 95%.(b) The percentage of the scores that were above her score is 5%.Therefore, the main answer is as follows:(a) 95%(b) 5%
Angela took a general aptitude test and scored in the 95th percentile for aptitude in accounting. (a) What percentage of the scores were at or below her score? × %(b) What percentage were above? x %The percentile score of Angela in accounting is 95, which means Angela is in the top 5% of the students who have taken the test.The percentile score determines the number of students who have scored below the candidate.
For example, if a candidate is in the 90th percentile, it means that 90% of the students who have taken the test have scored below the candidate, and the candidate is in the top 10% of the students. Therefore, to find out what percentage of students have scored below the Angela, we can subtract 95 from 100. So, 100 – 95 = 5. Therefore, 5% of the students have scored below Angela.
Hence, the answer to the first question is 95%.Similarly, to calculate what percentage of the students have scored above Angela, we need to take the value of the percentile score (i.e., 95) and subtract it from 100. So, 100 – 95 = 5. Therefore, 5% of the students have scored above Angela.
Thus, Angela's percentile score in accounting is 95, which means that she has scored better than 95% of the students who have taken the test. Further, 5% of the students have scored better than her.
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Kelly divided of 5/7 a liter of plant fertilizer evenly among some smaller bottles. She put 1/5 of a liter into each bottle. How many smaller bottles did Kelly fill? Pls help
Answer:
3 bottles
Step-by-step explanation:
Given that :
Total liters of fertilizer = 5/7 litres
Amount put into each smaller bottle = 1/5 liters
Number of small bottles filled :
Total liters of fertilizer ÷ amount put into smaller bottles
5/7 litres ÷ 1/5 litres
5 /7 * 5 /1
= 25 / 7
= 3.57
Hence, 3 bootles was filled
Simplify:
-75 sq rt over sq rt of 25
Answer:
\( \frac{ \sqrt{ - 75} }{ \sqrt{25} } \\ \\ \frac{ - 5625}{625} \\ \\ - 9\)
what is the period of the function
Answer:
The period of function.........
Step-by-step explanation:
The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.
If f(x) = x^2 is translated 3 units to the right to form g(x), which of the following equations best represents the new graph? g(x) = x^2 - 3 g(x) = (x - 3)^2 g(x) = x^2 + 3 g(x) = (x + 3)^2
Answer:g(x) = (x + 3)^2
Step-by-step explanation:
It is translated 3 units to the right so it is the only one that makes sense!
<!> Brainliest is appreciated! <!>
A
B
C
D
19.86 m
23.78 m
16.31 m
39.42 m
The measure of the side 'x' is 16.31 m. The correct option is C.
Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.
Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.
The value of x will be calculated as,
sin65° = x / 18
x = 18 x sin65°
x = 16.31 m
Hence, the correct option is C.
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Mark’s mother is planning to invest $25,000 into each of two savings accounts to save money to remodel her restaurant. • Bank 1 offers an interest rate of 5. 25%. • Bank 2 offers an interest rate of 8. 5%. Both accounts pay simple interest. Marks's mother will leave the money in each account for exactly 3 years. What is the sum of the interest the two accounts will earn at the end of 3 years?
\(~~~~~~ \stackrel{\textit{\LARGE Bank 1}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 5.25\%\to \frac{5.25}{100}\dotfill &0.0525\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (25000)(0.0525)(3) \implies I = 3937.5 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \stackrel{\textit{\LARGE Bank 2}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (25000)(0.085)(3) \implies I = 6375 \\\\[-0.35em] ~\dotfill\\\\ 3937.5~~ + ~~6375\implies \text{\LARGE 10312.5}\)
Please help with this
Answer:
the value of ST is 2 of its x is 2
Describe a normally distributed phenomena using standard nomenclature.
In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
A normally distributed phenomenon using standard nomenclature can be described as follows:
A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).
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What are five sets of integers that has a mean of -10.
Can you please explain how to get the answer also. :)
The five sets of integers that has a mean of -10 will be 10, -15, -2, -12, and -11.
How to calculate the value?It should be noted that mean simply means average. Therefore, the numbers that will give a mean of -10 will be:
-10, -15, -2, -12, and -11.
Therefore, the mean will be:
= ( - 10 + -15 + -2 + -12 + -11) / 5
= -50 / 5
= -10
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Hilbert axioms changed Euclids geometry by
Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms
What was Hilbert's Axiom?These were the sets of axioms that were proposed by the man David Hilbert in the 1899. They are a set of 20 assumptions that he made. He made these assumptions as a treatment to the geometry of Euclid.
These helped to create a form of formalistic foundation in the field of mathematics. They are regarded as his axiom of completeness.
Hilbert’s axioms are divided into 5 distinct groups. He named the first two of his axioms to be the axioms of incidence and the axioms of completeness. His third axiom is what he called the axiom of congruence for line segments. The forth and the fifth are the axioms of congruence for angles respectively.
Hence we can conclude by saying that Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms.
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complete question
Hilbert’s axiom’s changed Euclid’s geometry by _____.
1 disproving Euclid’s postulates
2 utilizing 3-dimensional geometry instead of 2-dimensional geometry
3 describing the relationships of shapes
4 identifying and explaining the concept of undefined terms
Due to a late summer drought, the change in water level (in feet) in the pond behind Eastview is falling
every day. The Science Club made a graph of the water level over time.
They found the y-intercept to be (0,26). They determined the x-intercept to be (52,0).
Thoroughly explain the meaning of the x-intercept. (Use a full sentence that includes the values of that
intercept.)
Answer:
The x-intercept represents when the water level of the Eastview pond. This shows that the Eastview pond's water level reached 0 at 52 (days/years/hours/minutes... etc).
Find the median of the set of data this box-and-whisker plot represents.
10
11
12
13
14
15
16
17
18
19
20
16
17
18
15
Answer:
18 I think
Step-by-step explanation:
The median of the set of data this box-and-whisker plot represents is 16.
The lowest values is given by the minimum which is 1.
What is Box and whisker plot?A box and whisker plot or diagram (also known as a boxplot) is a graph that summarises a collection of data. The form of the boxplot indicates how the data is distributed as well as any outliers. Because you can draw more than one boxplot per graph, it's a good way to compare different sets of data.
From the Given Box and Whisker plot we have the following information
Minimum = 12
Lower Quartile = 15
Median = 16
Upper Quartile = 18
Maximum = 20
Thus, the lowest values is given by the minimum which is 1.
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