Two or more expressions with an equal sign is Equation.-76(x-61)=x-89 is the equation for −76 times the difference between a number and 61 is equal to the number plus −89.
What is Equation?Two or more expressions with an equal sign is called as Equation.
The sentence −76 times the difference between a number and 61 is equal to the number plus −89. We have to express in the form of equation.
−76 times the difference between a number
Let the number be 'x', times means multiplication and difference is subtraction.
-76(x-61)
the number plus −89
x+(-89)
−76 times the difference between a number and 61 is equal to the number plus −89.
-76(x-61)=x+(-89)
-76(x-61)=x-89
Therefore -76(x-61)=x-89 is the required equation.
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which one is the correct answer?
Answer: D 28
Step-by-step explanation:
use the formuls x= -b/2a
the maximum is 28 and the minimum is 2
n recent years, shopping malls have become a favorite site for companies to test consumers’ responses to new products through interviews. These interviews, called “mall intercepts,” have largely replaced door-to-door interviewing because they are relatively quick and inexpensive. Research has shown that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. (a) Can consumers interviewed in this manner be considered a random sample of the population as a whole? Explain. (b) Is the sample a random sample of people who go to malls? Explain. (c) What about just for people who go to that mall? Explain. \
A. The consumers interviewed in this manner can be considered a random sample of the population as a whole.
B. The sample is a random sample of people who go to malls.
C. It should be noted that the sample applies for just for people who go to that mall.
How to illustrate the information?It should be noted that in a random sample, everyone has an equal chance of being selected.
In this case, the consumers interviewed in this manner can be considered a random sample of the population as a whole. Here, everyone had an equal chance of being picked.
In this case, the sample is a random sample of people who go to malls.
It should be noted that 95% of American households shop at malls at least once a year and that two-thirds shop at malls at least once every 2 weeks. This will give the random sample of the people.
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Select the correct numeral form of this number written in scientific notation.5.0 × 10 10
5,000,000,000
50,000,000,000
0.000 000 000 5
500,000,000,000
8. William gave the cashier $20, for 3 hamburgers. The cashier gave him back $4.70. Each hamburger cost the same amount. What was the cost of each hamburger in dollar and cents?
Please help me!!
PLS HELP I NEED THE EQUATION IN SLOPE INTERCEPT Or POINT SLOPE FORMAT
Answer: [tex]y=\frac{3}{4}x+5.8[/tex]
Step-by-step explanation:
We can think of this as a linear function with the slope being the 3/10 of a mile and the y intercept being the initial amount you can run.
So, using the information about 24 weeks, we get that:
[tex]13=\frac{3}{10}(24)+b\\\\b=5.8[/tex]
So, the equation is [tex]y=\frac{3}{4}x+5.8[/tex]
Can anyone answer this question please
Answer:
30/5
15/5
-15/5
-10/5
Step-by-step explanation:
what does 10x10x10+1-2+1 equal
Answer:
The answer is 1000
Step-by-step explanation:
10x10=100
100x10=1000
1000+1=1001
1001-2=999
999+1=1000
Answer:
1000
Step-by-step explanation:
10x10=100
100x10=1000
1000+1=1001
1001+1=1002
1002-2=1000.
therefore the answer is 1000
What is the rate of acceleration for a skateboarder going down a hill starting 10 m/s to 40 m/s in 15 seconds?
The rate of acceleration of the skateboarder is 2m/s²
What is acceleration ?Acceleration can be described as the speed of an object during a period of time
The formula is
v= u + at
v= 40m/s
u= 10m/s
time= 15 seconds
40 = 10 + 15a
40-10= 15a
30= 15a
a= 30/15
a= 2
Hence the rate of acceleration of the skateboarder is 2m/s²
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Solve the inequality.
|x + 1| < 27
[?] < x < [ ]
Answer:
|x + 1| < 27
-27 < x + 1 < 27
-28 < x < 26
Please answer I need this grade also I have more like these feel free to answer my other questions
Based on the graph of the function shown, we can logically deduce the following:
The domain of this graph is equal to (-1, 4).The range of this graph is equal to (-2, 3).The function which this graph represents is a discrete function.How to identify the range and domain of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.
By critically observing the graph of the discrete function shown, we can infer and logically deduce the following:
Domain = (-1, 4).Range = (-2, 3).In conclusion, the function which this graph represents is a discrete function because both the domain and range have discrete set of values, rather than intervals.
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Sarah only had $12.75 left after buying a new pair of shoes. Identify the dependent variable.
Answer:
the shoes
Step-by-step explanation:
the shoes never changed, and the amount money sarah has remaining will depend on the shoes.
What is 188.4÷60??? Thank you
Answer: 3.14
Step-by-step explanation:
Use the algorithm method.
3 . 1 4
6 0 | 1 8 8 . 4
1 8 0 .
8 . 4
6 . 0
2 . 4 0
2 . 4 0
2 Therefore, 188.4\div 60=3.14188.4÷60=3.14.
3.14
how would bivariate data be displayed?
The way that bivariate data would be displayed is through analysis of them visually by the use of scatterplots.
What format does bivariate data often take?A scatter plot is one that is typically used to show the bivariate data. Here, the y-axis is said to be plotted against the x-axis and this is one that is often done a grid of paper to show or depict the relationship between the provided data sets.
The act of Comparing the two sets of data or knowing a correlation between the two variables is the main goal of bivariate data.
Therefore, the use of scatterplot is the best way to graphically show bivariate data.
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$5.250 marked down 15%
what is the surface area of a cylinder with a height of 8 feet and a base of 6 feet
The surface area of a cylinder = 527.52 feet
A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.
The total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area:
total area = base area + lateral area ,
or
total area = 2πr² + (2πrh ),
or
total area = 2πr (r + h)
where h= Height
r= Radius
given that
height = 8 feet
base radius = 6 feet
Find the lateral surface area of a cylinder with a base radius of 6 feet and a height of 8 feet.
L.S.A.=2π(6)(8)=96π feet
for the total surface area of a cylinder is T.S.A.=2πrh+2πr².
T.S.A. = 96π + 2π (6²)
T.S.A. = 96π + 72π
T.S.A. =168π
where π= 3.14
T.S.A. = 168×3.14
T.S.A. = 527.52 feet
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If the New York is 3,000 miles from the Bay area, and a car you are road tripping in can travel
500 miles a day, how many days will it take to reach New York?
Answer:
Step-by-step explanation:
3,000 divided by the 500 is 6. It would take 6 days.
When you come across problems like this usually the best way to answer them is d (distance) divided by s (speed, miles per day, miles per hour, miles per second, etc.).
Helllllp
A construction crew has just built a new road. They worked for 6 weeks. They built the road at a rate of 7.68 kilometers per week. How many kilometers of road
did they build?
Answer:46.08
Step-by-step explanation the only thing you has to do was multiply your keyword was per I hope this helps
Ingrid earned a commission of $5,125 on sales of $88,000. What rate of commission was she paid? Round your answer to one decimal place.
Answer: 5.8%
Step-by-step explanation: .
Use the properties to rewrite logarithm expressions as a single logarithm
log subscript 4 7 plus space log subscript 4 10
The logarithm expression as a single logarithm is log 4 70.
Logarithm expression of Log 4 7 + log 4 10 = log 4 70.
Log 4 7 + log 4 10
The properties of logarithm is product rule.
Log 4 7 + log 4 10 = Log 4 7 * 10
= log 4 70
It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.
We can apply the quotient rule to find the differentiation of a function.
In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
Hence, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.
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help
show all steps please
Answer: h=9 inches
Step-by-step explanation:
[tex]7.\\a.\\\displaystyle\\A=\frac{1}{2}bh \\[/tex]
Multiply both parts of the equation by 2:
[tex]2A=bh[/tex]
Divide both parts of the equation by b (b≠0):
[tex]\displaystyle\\\frac{2A}{b} =h\\\\Thus,\\\\ h=\frac{2A}{b}[/tex]
[tex]\displaystyle\\b.\\\\A=54\ in.^2\ \ \ \ b=12\ in.\\\\h=\frac{2*54}{12} \\\\h=\frac{2*54}{2*6} \\\\h=\frac{54}{6} \\\\h=9 \ in.[/tex]
Can someone help with this question?✨
The equation of the line perpendicular to y = 2x + 2 and passes through (4, 3) is y = - 1 / 2 x + 5
How to find the equation of a line perpendicular to another ?The equation of the line is perpendicular to y = 2x + 2 and passing through the points (4, 3).
Perpendicular lines follows the principle below:
m₁ m₂ = -1
where
m₁ and m₂ are the slopes.Therefore,
2m₂ = -1
m₂ = - 1 / 2
Let's find the y-intercept of the line using (4, 3).
y = - 1 / 2 x + b
3 = - 1 / 2 (4) + b
3 = - 2 + b
b = 3 + 2
b = 5
Therefore, the equation of the line perpendicular to y = 2x + 2 and passes through (4, 3) is y = - 1 / 2 x + 5
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Order each set of numbers from least to greatest.
√200,14,41/3
Answer:
3/14,41,200√ least to greatest
The logarithm is used to define compressed scales, resulting in a decompression of the data.
True
False
The logarithm is used to define compressed scales, resulting in a decompression of the data is a true statement.
A logarithmic scale is a nonlinear scale often used when analyzing a large range of quantities. Instead of increasing in equal increments, each interval is increased by a factor of the base of the logarithm. Typically, a base ten and base e scale are used.
Data compression is the art of reducing the number of bits needed to store or transmit data. Compression can be either lossless or lossy. Losslessly compressed data can be decompressed to exactly its original value.
Information theory places hard limits on what can and cannot be compressed losslessly, and by how much:
There is no such thing as a "universal" compression algorithm that is guaranteed to compress any input, or even any input above a certain size. In particular, it is not possible to compress random data or compress recursively.
Given a model (probability distribution) of your input data, the best you can do is code symbols with probability p using log2 1/p bits. Efficient and optimal codes are known.
Data has a universal but uncomputable probability distribution. Specifically, any string x has probability (about) 2-|M| where M is the shortest possible description of x, and |M| is the length of M in bits, almost independent of the language in which M is written. However there is no general procedure for finding M or even estimating |M| in any language. There is no algorithm that tests for randomness or tells you whether a string can be compressed any further.
Thus , It is true to say that the logarithm is employed to establish compressed scales, leading to a decompression of the data.
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The probability that an event will happen is P(E)= 20/31 Find the probability that the event will not happen.
The probability that the event will not happen is
(Type an integer or a simplified fraction.)
[/tex]P(E)+P(E')=1 \\
P(E')=1-P(E)\\
where E and E' are opposite events
[tex]
P(E')=1-P(E) \\ P(E')=1- \frac{20}{31} \\ P(E')= \frac{31 - 20}{31} \\ P(E')= \frac{11}{31} \approx0.3548[/tex]
There are 10 girls and 20 boys in a class.
The class has a test.
The mean mark for all the class is 70
The mean mark for all the boys is 62
Work out the mean mark for the girls.
Answer:
the mean mark for girls is 86
Step-by-step explanation:
62x20+10xX=70*(10+20)
Kadeesha spends a winter day recording the temperature once every three hours for
science class. At 9 am, the temperature was -6.9°F. Between 9am and noon, the
temperature increased by 5.4°F. Between noon and 3pm, the temperature increased
by 7.2°F. Between 3pm and 6pm, the temperature dropped 15.5°F. What was the
temperature at 6pm?
By using basic arithematic operations we concluded that the temperature at 6 pm was - 9.8°F.
What are fundamental arithematic operations?Arithmetic operation is the study of numbers and the operations on numbers that are used in all other branches of mathematics. It primarily consists of basic operations like addition, subtraction, multiplication, and division.
The temperature at 09:00 am = -6.9°F.
The tempertaure increased by 5.4°F till noon
So, the final tempertaure at noon = - 6.9°F + 5.4°F
= - 1.5°F
Then, again the temperature increased by 7.2°F from noon till 3 pm.
So, the final tempertaure at 3 pm = - 1.5°F + 7.2°F
= 5.7°F
Then, again the temperature by dropped 15.5°F from 3 pm to 6 pm.
So, the final tempertaure at 6 pm = 5.7°F - 15.5°F
= - 9.8°F
Therefore the temperature at 6 pm was - 9.8°F.
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Rearrange the equation and solve for v, a, and t.
[tex]d=vt+\frac{1}{2}at^2[/tex]
Rearranging the equation to solve for the variables gives;
v = d - at^2/t
a = 2d - 2vt/t^2
How to solve for the variablesGiven the equation;
d = vt + 1/2 at^2
Let's solve for v
First, collect like terms
vt = d - 1/2 at^2
Now, divide both sides by the coefficient of v which is 't', we have;
vt/t = d - at^2/t
v =
[tex] \frac{d - a {t}^{2} }{t} [/tex]
Let's solve for a
d - vt = at^2/2
cross multiply
2( d - vt) = at^2
expand the bracket
2d - 2vt = at^2
divide both sides by the coefficient of a which is t^2, we have;
2d - 2vt /t^2 = a
a = 2d - 2vt/t^2
Thus, rearranging the equation to solve for the variables gives v = d - at^2/t and a = 2d - 2vt/t^2 respectively.
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12,983+z=21,137 can you please help me with the question!?
11. PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee
of $20 per night. This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the
number of nights spent camping. What is the value of f(5), which is the cost of 5 nights camping?
A. 80
B. 100
C. 104
D. 120
The cost of staying at Hillsborough State Park in Thonotosassa, Florida, for 5 nights is 104 dollars.
What is a function ?A function can be thought of as an output for the given set of inputs.
According to the given question PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee of $20 per night.
This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the number of nights spent camping.
∴ The cost of staying for 5 nights we can determine by putting x = 5 in f(x).
So, f(5) = 20(5) + 4.
f(5) = 100 + 4.
f(5) = 104 dollars.
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In Tacoma, the tax on a property assessed at $330,000 is $4,950. If the tax rates in San Francisco are proportional to Tacoma, how much would the tax be on a property assessed at $860,000?
The tax on a property in San Francisco with an assessed value of $860,000 will be $
In San Francisco, the tax on a property with a $860,000 assessed value is $12900.
In Tacoma, the tax on a property assessed at $330,000 is $4,950.
The tax rates are proportional to this city.
Now, to find the tax on a property assessed at $860,000.
So, we need to determine the tax rate of Tacoma first.
Tax Rate = Tax / Property assessed × 100.
[tex]Tax {~}rate = \frac{4950}{330000} \times 100[/tex]
Tax rate = 0.015 × 100
Tax rate = 1.5%
From the question, the tax rates are proportional.
Now, we apply the same tax rate as Tacoma in this city:
Tax = tax rate of property assessed.
Tax = 1.5% of $860,000
[tex]Tax=\frac{1.5}{100} \times 860000[/tex]
Tax = 1.5 × 8600
Tax = $12900
Therefore, the tax on property in San Francisco assessed at $860,000 is $12900.
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