Answer:
6.472
Step-by-step explanation:
Answer:
x = 2 ± 2√5 Exact solution
x = {-2.472, 6.472} Decimal approximation
Step-by-step explanation:
x² - 4x + 4 = 20
Subtract 4 from both sides
x² - 4x = 16
Complete the square using half the x coefficient, (-4/2 = -2), as the complete the square term
(x - 2)² = (-2)² + 16
(x - 2)² = 20
Take the square root of both sides
x - 2 = ±√20
x - 2 = ±2√5
Add 2 to both sides
x = 2 ± 2√5 Exact solution
x = {-2.472, 6.472} Decimal approximation
---------------------
Note this could also be solved using the quadratic formula
Given the function f(x) = | -2x + 4 |. Complete the table.
x f(x)
6 Blank 1
-1 Blank 2
Blank 3
4
Blank 4
14
The table representing the given absolute function should be completed as follows;
x f(x)
6 8
-1 6
4 4
9 14
How to complete the table of this absolute function?Based on the information provided, we have the following absolute function:
f(x) = |-2x + 4|
When x = 6, the value of the absolute function is given by;
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
When x = -1, the value of the absolute function is given by;
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = -6.
When the value of the absolute function y = 4 is given by;
4 = |-2x + 4|
±4 = -2x + 4
2x = 4 ± 4
2x = 8
x = 4 or 0.
When the value of the absolute function y = 14 is given by;
14 = |-2x + 4|
±14 = -2x + 4
2x = 4 ± 14
2x = 18
x = 9 or 5.
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3.5 x 4 + 11 x 2.2 = 38.2 i used a calculator already but i need to show i how got the answer i dont know if i can give the brain thing
Step-by-step explanation: To solve this equation, you'll need to use the order of operations to determine the correct sequence of steps to follow. The order of operations is a set of rules that specifies the order in which calculations should be performed in a math problem. It helps to prevent ambiguity and ensures that all calculations are performed consistently.Here is the order of operations:Perform any calculations inside parentheses or brackets first.Perform all multiplications and divisions, working from left to right.Perform all additions and subtractions, working from left to right.Using this order, we can solve the equation as follows:3.5 x 4 + 11 x 2.2 = 14 + 11 x 2.2
3.5 x 4 + 11 x 2.2 = 14 + 24.2
3.5 x 4 + 11 x 2.2 = 38.2Therefore, the solution to the equation is 38.2.
Using BODMAS,
B-Bracket
O-Of
D-Division
M-Multiplication
A-Addition
S-Subtraction
Multiplication comes first before addition, so
3.5×4=17
+
11×2.2=24.2
17+24.2=41.2
Help Me !!! ASAP!!!!
Answer:
#7 is 40
#8 is 50
#9 is 90
#10 is 180
#11 is 140
#12 is 130
#13 is 220
Sorry I have to go
Step-by-step explanation:
A certain map shows two roads. Road A is 1 1/5 miles long but is 1 4/5 inches on the map. What is the unit rate for inches per mile on the map. If road B is 2 miles long, how long is road B on the map ?
The length of the map would be 3 inches.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: length of the road as 6/5 miles and on the map 9/5 inches and thus 1 mile = 1.5 inches and therefore the length of the 2 mile road on the map is 2×1.5=3 inches
Hence, The length of the map would be 3 inches.
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Shauna says that 2x2 + x - 12 is the same as (x+4)(x-3). Is
she correct? Are the two expressions equal? Explain your
answer.
Answer:
Shauna is incorrect, because (x + 4)(x - 3) is NOT equivalent to 2x² + x - 12
Step-by-step explanation:
Check if she is correct by expanding (x + 4)(x - 3), with FOIL:
(x + 4)(x - 3)
x² - 3x + 4x - 12
x² + x - 12
So, Shauna is incorrect, because the two expressions are not equal.
(x + 4)(x - 3) is equivalent to x² + x - 12, NOT 2x² + x - 12.
Answer:
No she's wrongTwo equations are unequal.Explained belowStep-by-step explanation:
[tex] \sf \rightarrowtail \: (x + 4)(x - 3) \\ \sf \rightarrowtail \: x(x - 3) + 4(x - 3) \\ \sf \rightarrowtail \: {x}^{2} - 3x + 4x - 12 \\ \sf \rightarrowtail \: {x}^{2} + x - 12 \cancel{ = } {2x}^{2} + x - 12[/tex]
The temperature is -3 degrees celcius and 6:00 and rises 12 degress celcius by midday what is the temperature at midday
Answer:
9°C
Step-by-step explanation:
Given that :
Temperature at 6:00 = - 3°C
The change in temperature by midday = temperature rise of 12°C
The temperature at midday is :
Temperature at 6:00 + change in temperature
-3°C + 12°C
= 9°C
find the zeros of -16x^2 +24+16 and show your work
Step-by-step explanation:
This both answer can be
A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs. Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages
The proportion and percentage is as follows;
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
What is the difference between proportions and percentages?A percentage represents a ratio or fraction with a denominator that is always 100 as opposed to a proportion, which asserts the equivalent of two ratios or fractions.
Given
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & & \\ 5-6 & 50 & & \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
To estimate the total frequency:
Total = sum f
Total = 29 + 53 + 50 + 22 + 1
Total = 155
The proportion (p) exists calculated by:
[tex]$p = \frac{f}{\text { Total }}[/tex]
The percentage (P) exists calculated by:
P = p × 100 %
For interval 7 - 8, we have:
p = 53 / 155 = 0.34
P = 0.34 × 100 % = 34 %
For interval 5 - 6, we have:
p = 50 / 155 = 0.32
P = 0.32 × 100 % = 32 %
So, the complete table is:
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
The complete question is:
A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs.
Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages.
Score Interval f Proportion Percentage
9â10 29 0.19 19%
7â8 53
5â6 50
3â4 22 0.14 14%
1â2 1 0.01 1%
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NO LINKS PLEASE!!!
I need help with this.
9514 1404 393
Answer:
result = 0 + 2 - 4
Step-by-step explanation:
The leftmost arrow starts at 0 and goes 2 units in the + direction. The right arrow starts from there and goes 4 units in the - direction.
The left arrow represents adding 2 units to 0. The right arrow represents adding -4 units to +2, or subtracting 4 units from +2. The equation could be written as ...
result = 0 +2 -4
result = 0 +2 +(-4)
__
Additional comment
There are additional ways to write this in consideration of the fact that +2 = -(-2). The 0 doesn't need to be part of the equation. It is put here to indicate the fact that we start from 0. Without it, the "starting from 0" is implied.
find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)
The probability of point being in between B and C is 0.167
A probability definition is what?Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
What are examples and probability?The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.
Distance between B and C= 4 units
Total distance=24
Probability that point lie between B and C = 4/24 =1/6
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Draw a tape diagram to represent the following
equation:
3x + 15 = 90
Answer:
25
Step-by-step explanation:
Subtract 15 from both sides then divide by 3.
Answer:
3x + 15 = 90
3x = 90 - 15
3x = 75
x = 25
if a:b is 2:5 and b:c is 3:4, find a:b:c
Answer:
just keep in mind am not sure if the answer 6:15:20
Step-by-step explanation:
now we have ab= 2 : 5
and bc= 3 : 4
so b is the common one between them so multiply both of the b together which will give u 15 so now we have b = 15
to get a multiply 2 by 3 to get 6 so a = 6
to get c multiply 4 by 5 to get 20 so c = 20
now I hope that its correct and that u understood
What are my financial goals? What major purchases should I save for?
It depends on your personal financial situation and goals. Generally, it is important to save for major purchases such as a house, car, and vacations, as well as setting aside money for retirement. Additionally, you may want to consider investing in stocks, bonds, or mutual funds to achieve your long-term financial goals.
On a soccer team, 40% of the goals are
scored by the star player on the team. If 70 goals
are scored all season, then how many are scored
by the rest of the team?
[tex]40 \div 100 \times 70 \\ 4 \times 7 = 28 \\ 70 - 28 = 42[/tex]
Step-by-step explanation:
First find 40% of 70, which is 28
Then subtract the 28 from 70 to find the goals scored by the rest of the team
Which set only contains numbers that make the inequality true?
x + 19 < 28
A. {3, 4, 5, 6}
B. {7, 8, 9, 10}
C. {10, 11, 12, 13}
D. {12, 13, 14, 15}
Answer:
A
Step-by-step explanation:
3 + 19 = 22
4 + 19 = 23
5 + 19 = 24
6 + 19 = 25
All sums are less than 28
Answer:
A)
Step-by-step explanation:
x < 9
all numbers less than 9 make the inequality true
What is the length of the missing leg (in meters)
Answer:
12 meters
Step-by-step explanation:
hdhwhehhehhdhshheheheheueueje
Select all that are equivalent to sin∠GFH
A. Sin∠GEJ
B. Sin∠EGJ
C. Cos∠FGH
D. Cos∠GEJ
E. Cos∠GFH
F. Tan∠GEJ
All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.
Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
From the image, we get JE and HF are parallel.
So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.
⇒sin(∠GFH) = sin(∠GEJ).
From triangle GFH, ∠GFH + ∠FGH = 90.
⇒sin(∠GFH) = cos(∠FGH).
Again ∠FGH = ∠EGJ.
⇒sin(∠GFH) = cos(∠EGJ)
All that is equivalent to sin∠GFH is cos(∠EGJ).
Thus, the correct answer is D.
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f(x)=(x^2-x)/(x+1)
pls show work
Answer:
x - 2 + 2/(x + 1)
Step-by-step explanation:
These are really hard to type out and get the spacing right, so see the attached printout from a website that does carefully show steps in a polynomial division problem.
The website is:
https://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/?numer=x%5E2-x&denom=x%2B1
A cylinder has a height of 14 millimeters. Its volume is 17,584 cubic millimeters. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
help me
Answer:
V = πr2h (Volume of a cylinder is the area of a circle times its height). V = 8167.14. π = 3.14. h = 9.
Step-by-step explanation:
2. Gravetter/Wallnau/Forzano, Essentials - Chapter 4 - End-of-chapter question 2
What is the range for the following set of scores? (You may have more than one answer. )
6, 12, 9, 17, 11, 4, 14
The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.
In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.
It is calculated by subtracting the minimum value from the maximum value among the data set.
range = maximum value - minimum value
Plug in the necessary values and solve for the range.
range = 17 - 4
range = 13
Therefore, the range for the following set of scores is 13.
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Voxguxihxjcib iBuick oh oh big ugxjgxkhc
HCRJCMMJNHNSG
Have a good day- look at this image <3
Task #2: Jack makes $32 when he sells 4 pumpkins. How many pumpkins will he have to sell to make $48? If Jack finds that he has $120 at the end of the day, how many pumpkins did he sell?
Answer:
1. 6
2. 15
Step-by-step explanation:
4 pumpkins: $32
=> 1 pumpkin = 32 : 4 = $8
- He will have to sell 48 : 8 = 6 pumpkins to make $48
- He sold: 120 : 8 = 15 pumpkins that day
PLEASE HELP ME WITH THIS QUESTION, ILL BRAINLIEST YOU
Step-by-step explanation:
I think it would be 56 because its alternate exterior angles
Answer:
x= 28 deg
Step-by-step explanation:
pretty sure it's 180-56 = 124
124/2 = 62
90-62 = 28
both triangles on the right and left side are isosceles so you can find the sum of them and divide by 2 to find the individual ones
the angle is complementary so you can subtract it by 90
A 2.2 GB game is being downloaded onto your laptop. when you have downloaded half a gigabyte you notice that your computer has been downloading at a rate of .01GB/min.
Answer:
it takes 110 minutes
Step-by-step explanation:
Answer:
it takes approximately 110 minutes
please help thxssssssssssssssssssssssssssss
Answer:
The visiting team took more shots than the home team.
Step-by-step explanation:
How do you simplify 3 Way ratios?
To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.
To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.
The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.
For example reduce the ratio 225: 125: 25
The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.
If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.
Now divide each number by 5 and see what we get.
225/5: 125/5: 25/5
45: 25: 5
When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.
Now divide each number by 5 again and get a final ratio of 9: 5: 5.
45/5: 25/5: 5/5
9: 5: 1
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Find the volume of the cone. Round your answer to the nearest tenth.
Answer: 56.6
Step-by-step explanation:
You find the volume by V=1/3hπr² , it becomes 56.55 . you round that to the nearest ten then it leads you to 56.6
7•e^.1t =47 express the solution as a logarithmic in base e
Answer:
The value of t is 19.04
Step-by-step explanation:
[tex]7e^{0.1t} = 47\\[/tex]
[tex]e^{0.1t} = \frac{47}{7}[/tex]
take log both sides :
[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]
What is the value of aaa when we rewrite 6^{x}6 x 6, start superscript, x, end superscript as ax4 ?
The equation can be rewritten as: [tex]ax^4 = (log(6))(2^4)[/tex]
Therefore, [tex]a = log(6) \ and\ x=2[/tex]
What is logarithm?A logarithm is a mathematical function that describes the relationship between a number and its exponent. It is the inverse operation of exponentiation. Logarithms are typically written as log base b, where b is the base of the logarithm and is a positive number.
The logarithm of a number x to base b is denoted as [tex]logb(x)[/tex] and it is the exponent to which we need to raise the base b in order to get the number x.
For example, if we are given [tex]log10(100) = 2[/tex], this means that [tex]10^2 = 100[/tex].
The equation [tex]6^x * 6 * 6[/tex] can be rewritten as [tex]6^x * 6^2[/tex].
To convert 6^x to ax form, we need to take the logarithm of both sides of the equation:
[tex]log(6^x) = log(6^2)[/tex]
And we can simplify the equation as:
[tex]xlog(6) = 2log(6)[/tex]
So, the value of a is log(6) and the value of x is 2.
Therefore, the equation can be rewritten as:
[tex]ax^4 = (log(6))(2^4)[/tex]
Therefore, [tex]a = log(6)\ and\ x=2[/tex]
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Kias mom is having triplets. Each baby could either be male or female. Which outcome would be included in the compound event "more than one female"
Answer:
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
Step-by-step explanation:
Given - Kias mom is having triplets. Each baby could either be male or female.
To find - Which outcome would be included in the compound event "more than one female"
Solution -
The sample space outcomes are -
{MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
Now,
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF