Answer: x = 13/2
Step-by-step explanation:
Distribute: 4(x - 2) = 18
4x - 8 = 18
Add 8 to both sides
4x - 8 + 8 = 18 + 8
Simplify:
4x = 26
Divide both sides of the equation by the same term
4x = 26
4x/4 and 26/4
Cancel term that are both in the numerator and denominator
Divide the numbers
X = 13/2
Which is a member of the solution set of -5 < x ≤ -1?
Answer:
-1
Step-by-step explanation:
Put these two numbers on a number line with the correct circles. Now choose from any of the between numbers.
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
The p-value is [tex]p-value = 0.0039854[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1100
The population proportion is p = 0.50
The sample proportion is [tex]\^ p = 0.54[/tex]
The null hypothesis is [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]H_a : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]
=> [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]
=> [tex]z = 2.6533[/tex]
Generally from the z-table the probability of 2.6533 for a right tailed test is
[tex]p-value = 0.0039854[/tex]
After 5.5 hours, Allie had traveled 264 miles. If she travels at a constant speed, how far will she have traveled in 6 hours?
Answer:
288 Miles
Step-by-step explanation:
Solve for x (speed)
5.5x = 264
Divide by 5.5
x = 48
y = 48x
Subsitute 6 hours in for x
y = 48(6)
y = 288
Answer: Allie went 288 miles in 6 hours.
Step-by-step explanation:
First, you must find out how many miles Allie travled in one hour
= 264/5.5
= 48
Next, multiply the quotient by the number of hours to get the answer.
= 48 x 6
= 288
g÷2+ 19 > 15
what is g?
Answer: g > -8
Step-by-step explanation:
sadmep
compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket how much did he save by buying eggs at the supermarket instead of the local store
Answer:
8
Step-by-step explanation:
i'm a 12 year old girl and i get it so you have to think about the local store would be half witch would be 4 so the answer is 8Which of the following are like terms
Answer:
i would say a but i could be wrong
Step-by-step explanation:
Find the value of the expression:
70–a2 for a=–25; 1; 10
Simple answer.
You will have to replace a, with the given numbers.
For the 1st one)
70-25² since a=25. 70-625=-55
2nd)
70-1²=70-1=69
3d)
70-10²=70-100=-30
Hope this helped.
Kim's rectangle measures 4ft by 6ft. What are the dimensions of a rectangle that is similar to Kim's rectangle?
Answer: 24ft by 36
Step-by-step explanation:
It is asking which dimension of a rectangle is similar. 24 divided by 6 is 4 and if you do the same to 6 then 36 divided by 6 is also 6 which makes it similar
Round the decimal to a place of the underlined digit 5.657
Answer:
5.6
Step-by-step explanation:
Rosanne makes 1 1/2 liters of strawberry lemonade. She pours 1/4 of a liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does rosanne’s brother drink?
Answer:
1/2 liters
Step-by-step explanation:
Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
Hence the quantity of lemonade that Rosanne brother drinks is 1/2 liters
Answer:
1/2 liters
Step-by-step explanation: Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
Explain how to find 5 - 7 by using counters . (Show your work)
Answer:
-3
Step-by-step explanation:
We have to find the difference:
We start with 5 yellow counters
Since we have to subtract more yellow counters than we have (5 instead of 8), we add 3 zero-pairs:
We subtract the 8 yellow counters:
We are left with 3 red counters, which means the result is -3
suppose the retail price of an automobile is $28,000 in 1998 and that it increase at 3% per year. a) write a equation exponential function y=a(1 +r) b) use the model to predict the retail of the automobile in 2016
Answer:
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Answer:
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Step-by-step explanation:
-2/3 - (-1 1/3)
A. -1 2/3
B. -2/3
C. -1/3
D. 2/3
Answer is 2/3
Hope this helps
whats 2+2 will offer nothing
Answer:
4
Step-by-step explanation:
A local little league has a total of 60 players, of whom 20% are left-handed. How many left-handed players are there?
Answer:
There are 12 left-handed players in the league
Step-by-step explanation:
To find the value of the percentage of a given number, change the percentage at first to decimal by divide it by 100, then multiply the decimal by the number.Ex: 5% of 50 ⇒ 5% = [tex]\frac{5}{100}[/tex] = 0.05 ⇒ 5% × 50 = 0.05 × 50 = 2.5Let us solve the problem
∵ A local little league has a total of 60 players
∵ 20% of them are left-handed
→ Find 20% of 60
∴ The number of left-handed players = 20% × 60
→ Change 20% to a decimal
∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20
∴ The number of left-handed players = 0.20 × 60
∴ The number of left-handed players = 12
∴ There are 12 left-handed players in the league
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
The length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
Given that a hydrogen atom has about 1.04 × 10⁻¹⁰ meters diameter, whereas a protein molecule has an overall length of 2 × 10³ times the diameter of a hydrogen atom.
We need to find the length of the protein molecule, in meters and in scientific notation.
We must multiply the diameter of a hydrogen atom by the specified factor (2 × 10³), in order to determine the length of the protein molecule in meters.
Let's compute the amount:
Length of protein molecule = Diameter of a hydrogen atom × 2 × 10³
Diameter of a hydrogen atom = 1.04 × 10⁻¹⁰ meters
Length of protein molecule = 1.04 × 10⁻¹⁰ meters × 2 × 10³
To multiply numbers in scientific notation, we add the exponents and multiply the coefficients:
Length of protein molecule = 2.08 × 10⁻⁷ meters
So, the length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
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The length of the protein molecule, in meters and written in scientific notation, is approximately 2.08 × 10^(-7) meters.
To calculate the length of the protein molecule in meters, we'll start with the given diameter of a hydrogen atom and multiply it by the scaling factor of 2000. Let's perform the calculations:
Diameter of a hydrogen atom = 1.04 × 10^(-10) meters
Length of the protein molecule = 2000 × (Diameter of a hydrogen atom)
Multiplying the diameter by the scaling factor:
Length of the protein molecule = 2000 × (1.04 × 10^(-10))
When multiplying numbers written in scientific notation, we can multiply the coefficients and add the exponents:
Length of the protein molecule = 2000 × 1.04 × 10^(-10)
Calculating the coefficient:
2000 × 1.04 = 2080
Calculating the exponent:
10^(-10)
Putting the coefficient and exponent together:
Length of the protein molecule = 2080 × 10^(-10)
Writing it in scientific notation:
Length of the protein molecule = 2.08 × 10^(-7)
for such more question on length
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Joe can drive 194 miles in 4 hours. At the same
rate, how far can he drive in 6 hours.
Answer:
Lets take the miles for 6 hours to be x.
Using cross-multiplication, this problem can be solved.
194 4
x 6
1164 = 4x
x = 291
Therefore, Joe drives 291 miles in 6 hours.
If f(x) = 3a|4x - 4| - ax, where a is some constant, find f '(1). (4 points)
Select one:
a. 0
b. not enough information
c. e
d. 1
Annswer girl
Step-by-step explanation:
just trying to get answers
HELP ME PLS T^T
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).
that's the answer. good luck
Step-by-step explanation:
Hope it helps man .................
Millie Moo the cow can produce 14
gallons of milk in 3 days. How many gallons
of milk does Millie produce each day?
Round to the nearest hundredth if
necessary.
Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g
Answer:
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Step-by-step explanation:
Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:
1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.
2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.
3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex] [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]
4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex] [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]
5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.
6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex] [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]
7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
I’LL MARK BRAINLEST! :)
Answer:
9.1
Step-by-step explanation:
I think this because it is 9 boxes away from the other points, plus it sloped a bit...
Answer:
9.1
Step-by-step explanation:
Distance=[tex]\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }[/tex]
=[tex]\sqrt{(4-3)^{2} +(-5-4)^{2} }[/tex]
=[tex]\sqrt{(1)^{2}+(-9)^{2} }[/tex]
=[tex]\sqrt{1+81}[/tex]
=[tex]\sqrt{82}[/tex]
≈9.1
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9 how many numbers are possible?
Answer:
0-9 gives you 10 possibilites.
10x10x10x10x10=100,000
Step-by-step explanation:
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9, there are 10 possibilities
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that lottery game called Quinto is played by choosing five numbers each, from 0 through 9
Therefore, we are asked to find the number of possibilities.
10 x 10 x 10 x 10 x 10
=100,000
Thus, there are 100,000 number
This means that from 0 through 9 there are 10 possibilities.
Hence, A lottery game called Quinto is played by choosing five numbers each, from 0 through 9, there are 10 possibilities
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Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly
Answer:
Piecewise functions are functions that behave differently in different regions of the domain.
One example that you may see in your city is the case of the street illumination, such that can be modeled as:
x = time
Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:
f(x) = 0 if x1 < x < x0
f(x) = 1 if x0 ≤ x ≤ x1
Where f(x) represents the intensity of the light at the time x.
Between x1 and x0, the lights are not working, so the illumination that they provide is zero.
Between x0 and x1 the lights are turned on, so the illumination is 1.
Another example can be the accurate description of the velocity of a car as a function of time.
For some pieces, the car will be stopped (maybe in a red light)
For some pieces, the car will be moving slow (maybe there is a lot of traffic)
For some pieces, the car will be moving fast or accelerating (in an empty street).
So we can define this motion as a piecewise function that obviously will depend on how the car moves.
Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
Answer:
Step-by-step explanation: Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
(2fg)7 simplify the expression
Answer:
14 f g
Step-by-step explanation:
Multiply 7 by 2 .
Solve this equation: –3(x – 14) + 9x = 6x + 42
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has a unique solution.
Solving this equation results in the statement 6 = 0. Because this is a false statement, the equation has infinitely many solutions.
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Solving this equation results in the statement 6 = 0. Because this is a true statement, the equation has no solution.
Answer:
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Step-by-step explanation:
Solve for x: x + 4 = 10 *
Your answer
Answer:
6
Step-by-step explanation:
A way to answer these questions like I usually do is to subtract the result by the number you already know, like this; 10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!
Hope this helps!
Answer:
x = 6
Step-by-step explanation:
x + 4 = 10
=> x = 10 - 4
=> x = 6
Help me !!!
!!!
!!
!!
!!
Answer:
one hundred and sixty.Thank you ☺️
Answer:
One Hundred Sixty
Step-by-step explanation: