From the question, we are asked to find which is great between 12.5 or |-13|
recall:
|-13|
The absolute value is the distance between a number and zero. The distance between -13 and 0 is 13.
The absolute symbol makes any number positive.
So, |-13| is the greater because |-13| = 13.
So, between 12.5 and |-13|, |-13| is greater since it is same as 13.
Find the inverse of:f (x) = 4x3 + 1
1. replace f(x) with y
[tex]y=4x^3+1[/tex]2. Replace every x with a y and replace every y with an x
[tex]x=4y^3+1[/tex]3. Solve for y:
[tex]\begin{gathered} 4y^3=x-1 \\ y^3=\frac{x-1}{4} \\ y=\sqrt[3]{\frac{x-1}{4}} \end{gathered}[/tex]4. Replace y with f−1(x):
[tex]f^{-1}(x)=\sqrt[3]{\frac{x-1}{4}}[/tex](40 points) need answer asap the x=38
Select the correct answer.
Which of the following represents a function?
A. The first graph
B. The second graph
C. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
D.
x -5 -1 9 8 -1
y 1 7 23 17 1
The relation that represents a function is given as follows:
B. The second graph.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
For a point in the standard format (x,y), we have that:
x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.In a graph, the equivalent to this is that there can be no vertically aligned points.
Then, for the options in this problem, we have that:
a does not represent a function, as the input -1 is mapped to two outputs, meaning that there are vertically aligned points.b represents a function, as each input value(-4, 9, 13 and -7) is mapped to only one output.c does not represent a function, as the input 3 is mapped to two outputs.d does not represent a function, as the input -1 is mapped to two outputs.More can be learned about relations and functions at https://brainly.com/question/12463448
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I need to find the value of x in this figure. I need to do it so that whatever x is, it can be substituted into the expressions
Remember: all the angles of a triangle = 180 degrees and other geometry stuff
please help :)
Answer:
x = 42
see below for the angle measures.
Step-by-step explanation:
The angle marked 2x - 9 is sort of outside the triangle. It is called an exterior angle. The other two angles are called remote interior angles. "Remote" means that they are away from the exterior angle. When you have this set up, the two remote angles added together EQUAL the exterior one.
x+5 + 28 = 2x - 9
x + 33 = 2x - 9
Subtract x.
33 = x - 9
Add 9.
42 = x
So x = 42° which if you put that back into the expressions you can find the measures of the one remote interior angle (the other we know is 28°) and the exterior angle.
remote int angle:
x+5
= 42 + 5
= 47°
Exterior angle:
2x - 9
= 2(42) - 9
= 84 - 9
= 75°
(You can also then find the completely unmarked angle which is 180°- 75° which is 105°)
Jenny love to plant flowers.she has $30 to spend on flower plant flats .find the number of flats she can buy of the cost $4.98 each
Answer:
6
Step-by-step explanation:
We can round $4.98 up to $5.
Then do $30 / $5 = 6
Go back and check if 6 works:
$4.98 × 6 = $29.88 which is less than $30.
So the answer is 6
What is 102 divided by 105?
Answer:
102 / 105 = 0.971428571
Step-by-step explanation:
i used a calculator c:
Us the given info to evaluate all six trig functions. If theta is a special angle so state.
I need help with question six
The angle in the fourth quadrant associated with trigonometric function is 314.415°. The exact values of the six trigonometric functions are listed below:
sin θ = - 5 / 7 cos θ = 2√6 / 7 tan θ = - 5 / 2√6 cot θ = - 2√6 / 5 sec θ = 7 / 2√6 csc θ = - 7 / 5What is the angle associated with a given trigonometric function?In this problem we find the exact form of a trigonometric function and the related quadrant on a Cartesian plane. By definition of the sine function and the features of the sine, the exact value has the following form and conditions:
y / √(x² + y²) = - 5 / 7, x > 0, y < 0
Then,
y = - 5, √(x² + y²) = 7
√[x² + (- 5)²] = 7
x² + 25 = 49
x² = 24
x = √24
x = 2√6
Then, the angle associated to the trigonometric function is:
θ = tan⁻¹ (y / x)
θ = tan⁻¹ (- 5 / 2√6)
θ ≈ 314.415°
And the five other trigonometric functions are:
cos θ = 2√6 / 7
tan θ = - 5 / 2√6
cot θ = - 2√6 / 5
sec θ = 7 / 2√6
csc θ = - 7 / 5
The angle associated with trigonometric function is 314.415°.
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Write the sentence as an equation.
279 is the same as 157 more than the quantity m times 398
Answer:
279=157+398m
Step-by-step explanation:
hope its right?
4. Mark's age, when doubled, is Peggy's age. Peggy is 6 years older than Chris. Chris is 6 years older than
Mark. How much older is Peggy than Mark?
Rob counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. Mini size Regular size Jumbo size 5 3 3 One prize Two prizes 3 4 5 Are the events "the box of cereal contains one prize" and "the box of cereal is regular size" independent? yes no
The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.
it usually takes davin 1 3/4 hours to get to his aunt's house . due to labor day traffic this year it took 3 1/5 hours .how much longer did it take this year
It took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.
What is unitary method?The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.
Given is Davin who needs 1 3/4 hours to get to his aunt's house. However, due to the labor day traffic this year it took him 3 1/5 years.
We have to find the difference between the time span Davin took to reach his aunt's house.
Time taken by Davin without the labor day traffic = T[N] = 1 3/4 = 7/4 hours
Time taken by Davin with the labor day traffic = T[L] = 3 1/5 = 16/5 hours
Difference in time spans = T[D] = T[L] - T[N]
T[D] = 16/5 - 7/4
T[D] = 3.2 - 1.75
T[D] = 1.45 = 1 + 0.45
T[D] = 1 [tex]\frac{3}{4}[/tex] hours
Davin took 1 [tex]\frac{3}{4}[/tex] hours more.
Therefore, it took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.
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Convert 450 liters into fluid ounces. Round your answer to the nearest whole number.
Answer:15216.31 Fluid Ounces
Step-by-step explanation:
Quadrilateral ABCD is dilated with center
( 0, 0 ), taling B to B' . Draw A' B' C' D' .
Answer:
See the picture below
Step-by-step explanation:
What is the value of the missing segment? there is a ? , 4., 5 and 10
Step-by-step explanation:
I assume the ? is the left leg of the left triangle.
the middle line (right leg of the smaller left triangle, and the left leg of the larger right triangle) bisects the top angle of the main large triangle (because the top angles left and right from the middle line are equal).
that means per the angle bisector theorem
5 / 4 = 10 / ?
5 = 10×4/? = 40/?
?×5 = 40
? = 40/5 = 8
6. Write the equation for the line: (Hint: there are two points given to you!) 1 (3-1) 4 Homework Packet 3,1-3143.pdf hit ng
. Write the equation for the line: (Hint: there are two points given to you!)
________________________
y= mx + b
the slope is m
or
(y - y1) = m (x - x1)
___________________
points (x,y)
point 1 (4, 4) x1 = 4; y1 = 4
point 2 (3 , -1) x2= 3; y2 = -1
The slope m = (y2- y1) / (x2 -x1)
m=(-1 - 4 )/( 3 - 4)
m= -5/-1 = 5
(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)
____________________
(y - 4) = 5 (x - 4)
y= 5x -20 +4
y= 5x - 16
The equation for the line is y= 5x - 16
__________________
Do you have any questions regarding the solution?
The perimeter of a rectangular garden is 252 feet. If the width of the garden is 53 feet , what is its length
The perimeter of a rectangle is given by:
[tex]P=2l+2w[/tex]Where:
P = perimeter = 252 ft
w = width = 5 ft
l = lenght
Then, substitute the values:
[tex]252=2l+2(53)[/tex]And solve for l:
[tex]\begin{gathered} 252=2l+106 \\ 252-106=2l+106-106 \\ 146=2l \\ \frac{146}{2}=\frac{2l}{2} \\ l=73 \end{gathered}[/tex]Answer: length = 73 ft
Which rule explains why these triangles are congruent?
Answer:
SAS Congruence Rule
A triangle is said to be congruent to each other if two sides and the included angle of one triangle is equal to the sides and included angle of the other triangle.
Answer: SAS (side side angle postulate.)
Step-by-step explanation:
can be used to prove triangles congruent.
sides and the corresponding angle of the other, then the triangles are congruent.
Using the distributive property, rewrite this equation and put the correct numbers in place of the blanks.
8 • 52 = (
•
) + (
•
The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)
Given,
The equation: 8 ( 5 + 2) = (__×___) + (___×__)
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Here,
8 (5 + 2)
Using distributive property open the brackets:
8 (5 + 2) = (8 × 5) + (8 × 2)
Now,
8 (5 + 2) = 40 + 16
That is,
8 (5 + 2) = 56
So,
The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)
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PLEASE HELPPPPPP!!!!!!
Which transformation represents a reflection over the y-axis?
Answer: B
Step-by-step explanation:
The preimage is "flipped" over the x axis to form the image.
Option A is a reflection over the line y=x.
Option C is a rotation of 180 degrees about the origin followed by a dilation.
Option D is a reflection over the x-axis.
Option E is also a reflection over the x-axis.
An economy size car can travel 32 miles for each gallon of gasoline. The function d(g) = 32g represents the distance traveled in miles, d(g), that the car can travel with g gallons of gasoline. Find d(30).
*Type in your answer.
d(30) = miles
The number of miles to drive for 30 gallons is 960 miles
How to determine the function value?From the question, the function definition is given as
d(g) = 32g
Where g represents the number of gallons and d represents the distance
The function value to calculate is given as
d(30)
This means that we calculate the number of miles to drive for 30 gallons
So, we have
d(30) = 32(30)
This gives
d(30) = 32 x 30
Evaluate the product
d(30) = 960
Hence, the function value is d(30) = 960
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WILL MARK BRAINLIEST FOR THE BEST AND MOST ANSWERED OUT REPLY
1. A recent election poll claims that Candidate A is projected to win the election with 53% of the vote. If a sample of 2436 voters is polled, determine if Candidate A can be guaranteed a win with 95% confidence.
Select an answer
a. yes
b. no
c. Not enough information
Explain why or why not using two sentences.
Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
So, candidate A has a projection of winning 53% votes.
A sample of 2436 voters is pulled, then:
2436/100 × 53 = 1,291 votesCan candidate A be guaranteed 95% votes which are:
2436/100 × 95 = 2,314 votesDifference: 2,314 - 1,291 = 1,023
Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
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There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub?
The amount of water left in the bathroom is 0.93 gallons
How to determine the amount of water left?From the question, the given parameters are:
Total amount of water in the bathroom = 7.2 gallonsAmount of eater drained out = 6.27 gallonsThe amount of water left is the difference between the total amount of water in the bathroom and the amount of eater drained out
This is represenetd as
Amount left = Total amount of water in the bathroom - Amount of eater drained out
Substitute the known values in the above equation
Amount left = 7.2 - 6.27
Evaluate
Amount left = 0.93
Hence, the amount left is 0.93 gallons
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The required measure of the volume of water left in the bathtub is 0.93 gallons.
As per the given data, There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub is to be determined.
Here,
According to the question, the water left after the 6.27 gallons of draining out can be evaluated by the arithmetic subtraction of the initial volume to the volume that drained out, that is,
The volume of water left in the tub = 7.2 - 6.27 = 0.93.
Thus, the required measure of the volume of water left in the bathtub is 0.93 gallons.
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How to factorize this?
[tex]5x {}^{3} - 9x { }^{2} - 17x - 3[/tex]
The expression when factorized is (5x + 1)(x + 1)(x - 3)
How to factorize the expression?From the question, the expression is given as
5x³ - 9x² - 17x - 3
Express 9x² as 5x² - 15x² + x²
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² - 17x - 3
Express -17x as x - 3x - 15x
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² + x - 3x - 15x - 3
Rearrange the terms
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² - 15x + x² + x - 3x - 15x - 3
Group the terms in 4's
5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x² - 15x) + (x² + x - 3x - 15x - 3)
Factorize each group
5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)
Factorize x² + x - 3x - 3
5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)
Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)
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Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.
we have
see the attached figure to better understand the problem
please wait a moment (to fill the table)
The largest y-value of the function is called thefunction.value of the
As the y-values of a function are the values that the function takes, the largest y-value of a function is called the maximum value of the function
Answer: maximum(10, 10) А (2, 4) Find point C so that that the ratio of length Ad to the length of CB is 3:1
ANSWER
[tex](8,8.5)[/tex]EXPLANATION
When a line segment is divided by ratio m:n, the coordinates of the point of division are given as:
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+my_1}{m+n})[/tex]where (x₁, y₁) and (x₂, y₂) are the coordinates of the ends of the line.
Therefore, we have that:
[tex]\begin{gathered} m=3;n=1 \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(10,10) \end{gathered}[/tex]Therefore, the coordinates of point C are:
[tex]\begin{gathered} (\frac{3\cdot10+1\cdot2}{3+1},\frac{3\cdot10+1\cdot4}{3+1}) \\ (\frac{30+2}{4},\frac{30+4}{4}) \\ (\frac{32}{4},\frac{34}{4}) \\ (8,8.5) \end{gathered}[/tex]Those are the coordinates of C.
WHATS THE ANSWER PLSZ HELP
Answer:
a. 0.8 = 0.5 + 0.3
b. 30.9 = 2.7 + 28.2
c. 15.4 = 3.1 + 2.4 + 9.9
d. 17.4 = 15.2 + 1.4 + 0.8
e. 42.5 = 39.2 + 2.5 + 0.8
f. 8 = 4 + 4
g. 35 = 23 + 8 + 4
h. 84 = 53 + 3 + 28
i. 121 = 11 + 17 + 93
j. 35 = 24 + 8 + 3
A girl scout troop hiked 6.8 miles southeast in 2 hours. What was the troop’s velocity?
Answer:
1.5 m/s
Step-by-step explanation:
Distance = 6.8×1609.344 = 10943.5392
time=2×60×60 = 7200
velocity= distance/time = 10943.5392/7200= 1.51 m/s
In Arizona, a minimum temperature of - 40.0°C was recorded at Hawley Lake in 1971. A maximum recorded temperature of 53.3°C was recorded at Lake Havasu City in 1994. Find the difference between these maximum and minimum temperatures.
Answer:
Your answer is 93.3.
Step-by-step explanation:
[tex]53-[/tex][tex](-40) = 93.3[/tex]
write a phrase for each expression
X - 6
The phrase of the expression x - 6 is 6 less than a number.
Expression:
The expression refer the sentence with a minimum of two numbers/variables and at least one math operation in it.
Given,
Here we have the expression x -6.
And we need to convert this expression in order to get the phrase form.
In order to get the phrase form, we have to translate the given expression into word.
While we looking into the given expression we have identified the following three terms.
They are, x , (-) and 6.
Here x represents the unknown number.
(-) represents that we have to less the unknown number by the given number.
And 6 is the given number.
So, the phrase for this situation is 6 less than a number.
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