Answer:
7
Step-by-step explanation:
2n + 4n = 6n, adding like terms
6n = 42
6n/6 = 42/6
n = 7
Answer: 7
Step-by-step explanation:
4x7= 28 and 2x7=14
14+28= 42
If f(x) = 2x2 + bx + c, find the value of "c" that makes the vertex of the given graph the same as the vertex of f(x).
A.) 24
B.) 56
C.) 75
D.) 90
Well it was a lucky guess but the answer is 75
The value of c that makes the vertex the same is 75.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The vertex of the function f(x) = 2x² + bx + c has an x-coordinate given by
-b/2a, where a = 2 is the coefficient of the x² term.
The x-coordinate of the vertex is x = -b/4.
To find the y-coordinate of the vertex, we can substitute this value of x into the function f(x) and simplify:
f(-b/4)
= 2(-b/4)² + b(-b/4) + c
= b²/8 - b²/4 + c
= -b²/8 + c
We want the vertex of the new function to be the same as the vertex of f(x), so the x-coordinate of the vertex should still be -b/4.
This means that the new function must have the form
g(x) = 2x² + bx + d, where d is a constant.
We want the y-coordinate of the vertex of g(x) to be the same as the y-coordinate of the vertex of f(x), which is -b^2/8 + c.
Therefore, we must have:
g(-b/4) = -b²/8 + c
Substituting the form of g(x) and simplifying:
2(-b/4)² + b(-b/4) + d = -b²/8 + c
Simplifying further:
-b²/8 + d = -b²/8 + c
d = c
This shows that the value of d (the constant term in the new function g(x)) must be the same as the value of c (the constant term in the original function f(x)) in order for the vertex of the new function to be the same as the vertex of f(x).
Therefore,
The value of c is 75.
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Find the surface area of the rectangular prism with l=15m, w=16m and h=4. im confused pls help me
Answer:
surface area= 728
please give me brainliest!! :)
Step-by-step explanation:
A = 2 ( w*l + h*l + h*w )
2 · ( 16 · 15 + 4 · 15 + 4 · 16 ) = 728
2.457 x 10^5 in standard form.
Answer:
245700
Step-by-step explanation:
2.457×10^5
Which means that the decimal point will be moved to the right side 5 times
Which means that
2.457×10^5
=245700
Or
It can also be written as 2.457×100000
It will give
245700
Answer:
245700
Step-by-step explanation:
2.457 × 10⁵
2.457 × 100000
245700
Both Allison and Jennifer jogged on sunday. when asked about their distances, Allison said, " i ran 2 7/8 miles this morning and 3 3/8 miles this afternoon. So, i ran a total of about 6 miles, " and Jennifer said, "i ran 3 1/10 miles this morning and 3 3/10 miles this evening. i ran a total of 6 4/10 miles."How do their answers differ? explain why they are both correct.
Answer:
1. Their answers differ because of approximation
2. See Explanation Below
Step-by-step explanation:
Given
Allison
[tex]Morning: 2\frac{7}{8} miles[/tex]
[tex]Afternoon: 3\frac{3}{8} miles[/tex]
Total: About 6 miles
Jennifer
[tex]Morning: 3\frac{1}{10} miles[/tex]
[tex]Afternoon: 3\frac{3}{10} miles[/tex]
Total: [tex]6\frac{4}{10} miles[/tex]
Required
How their answers differWhy they are both correctHow their answers differ
To understand how their answers differ; first we need to calculate the actual miles they both ran.
Total = Distance covered in the morning + Distance covered in the evening
For Allison
Total Distance = [tex]2\frac{7}{8} + 3\frac{3}{8}[/tex]
Convert mixed fractions to improper fractions
Total Distance = [tex]\frac{23}{8} + \frac{27}{8}[/tex]
Take LCM and add
Total Distance = [tex]\frac{23 + 27}{8}[/tex]
Total Distance = [tex]\frac{50}{8}[/tex]
Total Distance = 6.25 miles
For Jennifer
Total Distance = [tex]3\frac{1}{10} + 3\frac{3}{10}[/tex]
Convert mixed fractions to improper fractions
Total Distance = [tex]\frac{31}{10} + \frac{33}{10}[/tex]
Take LCM and add
Total Distance = [tex]\frac{31 + 33}{10}[/tex]
Total Distance = [tex]\frac{64}{10}[/tex]
Convert to improper fraction
Total Distance = [tex]6\frac{4}{10} miles[/tex]
From the calculation above, the total distance ran by Allison is 6.25 miles and she said she ran about 6 miles; This means that she approximated the total distance she covered.
Also from the calculation above, the total distance ran by Jennifer is [tex]6\frac{4}{10} miles[/tex] and she said she ran [tex]6\frac{4}{10} miles[/tex]; This means that she gave the actual distance she ran.
Hence, their answers differ because of approximation
Why they are both correct?
As mentioned above, the difference in their answer is approximation.
Approximation is rightly allowed in measurements as long as one is giving the right approximated value.
For Allison; the approximation of 6.25 miles is 6 miles;
For Jennifer; she gave the actual distance she ran ([tex]6\frac{4}{10} miles[/tex])
Base on this, we can conclude that both are correct
Which is the product of 56 and 5/9
The answer would be 31.1111
Answer:
32.77
Step-by-step explanation:
In a research study, one third of the volunteers received drug A, one third received drug B, and one third received a placebo. Out of all the volunteers, 15% received drug A and got better, 9% received drug B and got better, and 10% received the placebo and got better. What is the conditional probability of a volunteer getting better if they were given the placebo? please help! 100 pts
it is 10% because 10 percent got better in the experiment
If angle 2 measures 155 degrees in the image below, what is the measurement of angle 1?
x
Angle 1 and angle 2 are supplementary angle. Then the measure of the angle 1 is 25°.
What is a Supplementary angle?Two angles are said to be supplementary angles if their sum is 180 degrees.
If angle 2 measures 155 degrees in the image below.
Angle 1 and angle 2 are supplementary angle.
∠1 + ∠2 = 180°
∠1 + 155° = 180°
∠1 = 25°
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HELP ASAP!! K12 / KEYSTONE QUESTION! I WILL GIVE BRAINLIEST!! HELP!
1. Find the balance point for the points 0.4, 1.4, and 1.8.
2. Which measure of center is indicated by the center of balance, the median, the mean, or the mode?
3. Define what is meant by “measure of center.”
If you don't know the answer then please don't answer, this is appreciated!
Answer:
A) mean = 1.2
B) median
C) The measures of center use data points to approximate a middle value or average of a given data set
Step-by-step explanation:
The “balance” process was developed to provide another way in which the mean characterizes the “center” of a distribution.
The mean is the balance point of the data set when the data are shown as dots on a dot plot (or pennies on a ruler).
A) The balance point for the points 0.4, 1.4, and 1.8. Will be
(0.4 + 1.4 + 1.8)/3 = 3.6/3 = 1.2
B) The median is the measure of center that is indicated by the center of balance
The median is the value in the center of the data. Half of the values are less than the median and half of the values are more than the median. It is probably the best measure of center to use in a skewed distribution.
C) A measure of central (measure of center tendency) is a value that describe a set of data by identifying the central position of the data set. The three measures of central tendency are the mean, median and mode.
The dot plot shows the number of raffle tickets bought by each person.
Number of Raffle Tickets Bought
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 0 dots, 2 has 4 dots, 3 has 6 dots, 4 has 3 dots, 5 has 5 dots.
Where is the peak of the dot plot?
A. 1
B. 3
C. 5
D. 6
The peak of the dot plot with the given data set is: B. 3
What is a Dot Plot?A dot plot is a graphical tool used to represent data set that do not have ranges.Each dot represents a data point.The peak of a dot plot is where you have the more frequency of a data point.Therefore, the peak of the dot plot with the given data set is: B. 3
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find 5/6 of 12
show how you got the answer
Answer:
10
Step-by-step explanation:
First divide by six to see how much a sixth is then multiply by five
12/6 = 2
2 x 5 = 10
Answer: 10
Step-by-step explanation:
5/6 of 12
Of in mathematics is multiplication
Meaning
5/6×12
Multiply, you have
=60/6
=10
Use the number line to show 2\3 divided by 1\12.
What is the quotient?
Step-by-step explanation:
[tex] \frac{2}{3} \div \frac{1}{12} \\ \\ = \frac{2}{3} \times \frac{12}{1} \\ \\ = \frac{2}{1} \times \frac{4}{1} \\ \\ = 8[/tex]
The quotient of the division is 8. It is shown on a number line.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
The given expression is 2/3 ÷ 1/12.
Simplify the expression as follows:
2/3 ÷ 1/12
=2/3 × 12
= 2 ×4
= 8
Hence, the quotient of the division is 8. It is shown on a number line.
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WILL AWARD BRAINLIEST If the least value the variable k can be is 12, which of the following inequalities best shows all the possible values of k? (3 points) k < 12 k > 12 k ≤ 12 k ≥ 12
Answer:
D
Step-by-step explanation:
If the least it can be is 12, that means that with will have to be equal to 12
so mark out a and b
It also said the least, this means it can not be less than it.
Put these two together and you get D) k is greater than or equal to 12
Use the figure to complete the statements,
Triangle 1 is the image of triangle 2 reflected over the
Triangle 2 is the image of triangle 3 reflected over the
Reflecting triangle 4 over the y-axis results in triangle
then, x-axis
then, 3
Triangle 1 is the image of triangle 2 reflected over the y-axis
Triangle 2 is the image of triangle 3 reflected over the x-axis.
Reflecting triangle 4 over the y-axis results in triangle 3.
What is the triangle?A triangle is a three-sided polygon It is one of the most fundamental geometric forms.
Triangle 1 is on the opposite side of triangle 2. When the triangles are bisected, they contact the y-axis.
Triangle 2 is to the left of triangle 3. Triangle 3 is to the right of triangle 2. When the triangles are bisected, they contact the x-axis.
You may build the same form by "mirroring" triangle 4 across the y-axis, then rotating it 90 degrees and placing it at the same distance from the y-axis.
Hence, triangle 1 is the y-axis reflected image of triangle 2, triangle 2 is the x-axis reflected image of triangle 3, and triangle 3 is formed by reflecting triangle 4 over the y-axis.
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Can you solve the following puzzle
Cost of 1 icecream is Rs.1
Cost of 1 cake is Rs.5
Cost of 100 biscuits is Rs.5
Now you should spend exactly Rs.100 and you should get exactly 100 items
You should have all items.
Spend Rs. 100 to get 100 items, including ice cream, cakes, and biscuits.
To solve the puzzle, you can buy:
20 ice creams for Rs. 20
4 cakes for Rs. 20
100 biscuits for Rs. 5
This way, you will spend exactly Rs. 100 and get exactly 100 items.
Can someone help me with number 6 answer is not B I’m not sure what is I need help plzzzzz
Answer:
Its D
Step-by-step explanation:
2. A 12 V battery produces a current of 6 amps. What is the resistance
3. Silver has a resistance of 0.0198 ohms. What voltage would produce a current of 250 anps?
Add Text Here!
4. What is the current produced by a potential dillerence of 120 volts through a resistance of 0.8 ohms?
r=v/i
120volts/.8 amps =.026 amps
5. What resistance would produce a current of 120 amps liom a 6 V ballery"?
Answer:
1) The resistance is 2 ohms.
2) The voltage is 4.95 V.
3) The current is 150 amps.
4) The resistance is 0.05 ohms.
Step-by-step explanation:
Using formula, [tex]\text{Resistance}=\frac{\text{Voltage}}{\text{Current}}[/tex]
1) A 12 V battery produces a current of 6 amps. What is the resistance ?
Voltage - 12 V and Current - 6 amps
[tex]\text{Resistance}=\frac{12}{6}[/tex]
[tex]\text{Resistance}=2[/tex]
The resistance is 2 ohms.
2) Silver has a resistance of 0.0198 ohms. What voltage would produce a current of 250 amps?
Resistance - 0.0198 ohms and Current - 250 amps
[tex]0.0198=\frac{\text{Voltage}}{250}[/tex]
[tex]\text{Voltage}=0.0198\times 250[/tex]
[tex]\text{Voltage}=4.95[/tex]
The voltage is 4.95 V.
3) What is the current produced by a potential dillerence of 120 volts through a resistance of 0.8 ohms?
Resistance - 0.8 ohms and Voltage - 120 V
[tex]0.8=\frac{120}{\text{Current}}[/tex]
[tex]\text{Current}=\frac{120}{0.8}[/tex]
[tex]\text{Current}=150[/tex]
The current is 150 amps.
4) What resistance would produce a current of 120 amps liom a 6 V battery"?
Voltage - 6 V and Current - 120 amps
[tex]\text{Resistance}=\frac{6}{120}[/tex]
[tex]\text{Resistance}=0.05[/tex]
The resistance is 0.05 ohms.
150A is produced by a potential difference of 120 volts through a resistance of 0.8 ohms
Given the formula:
E = IR;
where E is the voltage in Volts, I is the current in Ampere and R is the resistance in Ohms.
a) E = 12V, I = 6A, hence:
12 = 6R
R = 2 Ohms
b) R = 0.0198 Ohm, I = 250A, hence:
E = IR = 0.0198 * 250 = 4.95 V
c) E = 120V, R = 0.8 Ohm
120 = 0.8I
I = 150A
d) I = 120A, E = 6V
E= IR
6 = 120R
R = 0.05 Ohm
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Use the table to work out the values of a, b, c, and d.
y= 32 +1
-2
–5
-1
ъ
1
с
d
2
a=
b =
c=
d =
1
The question involves using the quadratic formula where a=1, b=0.0211, and c=-0.0211 to find the two possible values for d.
Explanation:To solve for the values of a, b, c, and d using the given information, we can identify the quadratic formula, which is expressed as:
x = (-b ± √(b² - 4ac)) / (2a)
Given that a = 1, b = 0.0211, and c = -0.0211, we can substitute these into the formula to find the value for x, which could represent d in this case:
x = -0.0211 ± √(0.0211² - 4(1)(-0.0211)) / 2(1)
This simplifies to:
x = -0.0211 ± √(0.00044421 + 0.0844) / 2
From this, we can calculate the two possible values for d.
Which expression is equivalent to log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction?
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
Step-by-step explanation:
Here we need to simplify a logarithmic expression and find which expression is equivalent to it . Let's find out:
We have ,
log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction) or ,
⇒ [tex]Log_1_2(\frac{\frac{1}{2} }{8w} )[/tex]
We know that : [tex]Log(\frac{a}{b} )=Log(a)-Log(b)[/tex]
⇒ [tex]Log_1_2(\frac{1}{2}) - Log_1_2(8w)[/tex]
We know that : [tex]Log(ab) = Log(a)+Log(b)[/tex]
⇒ [tex]Log_1_2(\frac{1}{2}) -( Log_1_2(8)+Log_1_2(w))[/tex]
Therefore , correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
The expression that could be considered equivalent to logSubscript 12 Baseline (StartFraction one-half Over 8 w EndFraction would be:
B). log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w) or [tex]Log_{12}(\frac{1}{2}) - (Log_{12}(8) + Log_{12}(w))[/tex]
Given that,
[tex]Log_{12} (\frac{1/2}{8w} )[/tex]
Using the expression,
[tex]Log({\frac{a}{b}) = Log (a) - Log(b)[/tex]
We get,
[tex]Log_{12} (\frac{1/2}{8w} )[/tex]
[tex]= Log_{12}(\frac{1}{2}) - Log_{12} (8w)[/tex]
Using expression [tex]Log(ab) = Log(a) + Log(b)[/tex]
∵ [tex]Log_{12}(\frac{1}{2}) - (Log_{12}(8) + Log_{12}(w))[/tex]
Thus, option B is the correct answer.
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is 26/7 a rational number
Answer:
Yes.
Step-by-step explanation:
26/7 is a rational number since it can be represented in the form p/q where q is not equal to 0.
Answer:
Step-by-step explanation:
No it is not, 26/7 is 3.714285714285714... which is going on. This makes it irrational. If it had an end or if it were repeating, it'd be a rational number.
In which of the expressions below will x = 12.5? Select all
that apply.
A) 4x
--- = 5
10
B) 6.5 + x = 19
C) 88–12 = 96
D) 2x : 5=5
E) 2(x + 4) = 37
The answer is D
2x / 5 = 5
5 x 5 = 25
2x = 25
25/2
x= 12.5
x-3y=16 4x-y=19
Substitution / Will mark brainliest ASAP
Answer:
Step-by-step explanation:
Add these 2 equations. 5x-4y=35
X-4y=7
x-y=7/-4
Find the area of a semicircle with a diameter of 20inches. Use 22/7 as an approximation for pi
Answer:
2200/7 ≈ 314.2857143
Step-by-step explanation:
The formula for the area of a circle is πr²
Since the diameter is 20, the radius is going to be 10 inches
Now just plug that in and get π(10²) which equals 100π
Now multiply 100 with (22/7) and that gives you 2200/7
Answer:
157 1/7 inches
Step-by-step explanation:
I used the formula, A = pi x r squared then divided by 2, since a semicircle is half of a normal circle.
(22/7 x 10 squared divide by 2)
The probability of a hurricane being within 100 miles of a location in two days is 40%.
likely or unlikely
Answer: Unlikely
Step-by-step explanation:
We know that,
When the probability of an event is
100% , then it is known as certain.0% , then it is known as uncertain.<50% then , it is unlikely to happen.>50% then it is likely to happen.Given : The probability of a hurricane being within 100 miles of a location in two days is 40%.
Event : " Hurricane being within 100 miles of a location in two days "
Clearly, 40% < 50%.
Therefore , it unlikely to happen a hurricane being within 100 miles of a location in two days.
Yea Answer: unlikely
Step-by-step explanation:
Rewrite x - 2y = 8 using function notation.
A) x - 2f(x) = 8
B) f(x) = -x + 8
C) f(x) = 2x + 8
D) f(x) = 1 2 x - 4
Answer:
a) x-2f(x)=8
Step-by-step explanation:
PLEASE ANSWER!
Bianca filled 2 same-sized jars with flavored popcorn as a gift. She wants to glue a piece of ribbon around the edge of each lid.
The radius of each jar lid is 4 centimeters. Approximately what is the total length of ribbon she will need for the two jar lids? (Use 3.14 for pi.)
Answer:
51 centimeters
Step-by-step explanation:
first you square the radius, and multiply by pi or 3.14 :)
Which expressions are equivalent to this expression?
30x2 − 5x − 10
5x(6x − x − 2)
5(2x − 1)(3x + 2)
-5(-6x2 + x + 2)
3x(2x − 1) + 2(2x − 1)
5(2x + 1)(3x − 2)
(10x − 5)(3x − 5)
The required factors of the given quadratic polynomial is
[tex]5(3x-2)(2x+1)[/tex]
Quadratic Polynomial:
The general form of the quadratic polynomial is
[tex]ax^2+bx+c[/tex]
we can factorize the quadratic polynomial into linear factors
How to factorize quadratic polynomial?We have given quadratic polynomial is
[tex]30x^2-5x-10[/tex]
take 5 as common
[tex]5(6x^2-x-2)[/tex]
Factorize the quadratic into linear factors now
[tex]5(6x^2-4x+3x-2)[/tex]
[tex]5(2x(3x-2)+1(3x-2))[/tex]
[tex]5(3x-2)(2x+1)[/tex]
This is the conclusion to the answer.
Hence the correct answer is (E).
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Answer:
you're welcome
We
A father and his son can clean the house together in 7 hours. When the son
works alone, it takes him an hour longer to clean than it takes his dad alone.
Find how long it takes the son to clean alone.
Answer:
3 hours
Step-by-step explanation:
Calculate the area of a rectangle with a base of 15 inches and an altitude of 7 inches
The two sets of data below show the number of bubbles blown in fifty trials using two different bubble solutions.
A box plot titled Bubbles Created with Solution 1. The number line goes from 80 to 116. The whiskers range from 80 to 114, and the box ranges from 100 to 112. A line divides the box at 110.
Bubbles Created with Solution 1
A box plot titled Bubbles Created with Solution 2. The number line goes from 72 to 110. The whiskers range from 72 to 110, and the box ranges from 74 to 80. A line divides the box at 76.
Bubbles Created with Solution 2
Which best describes the measure of center that can be used to most accurately compare the two data sets?
the mean, because it increases the influence of outliers
the mean, because it decreases the influence of outliers
the median, because it increases the influence of outliers
the median, because it decreases the influence of outliers
Answer:
D. the median, because it decreases the influence of outliers
Step-by-step explanation:
Answer:
d :)
Step-by-step explanation:
what is 2ft/24inch scaled up by a factor of 10?
Answer:
240 inches.
Step-by-step explanation:
To scale up a measurement by a factor of 10, you need to multiply it by 10.
In this case, you want to scale up 2 feet to a larger measurement: 2 feet = 2 x 12 inches = 24 inches
Now, to scale it up by a factor of 10:24 inches x 10 = 240 inches
So, when you scale up 2 feet by a factor of 10, you get 240 inches.
i need to feed the children in my basement, mark me brainliest pls