If g(x) = 3x − 4, what is the value of g−1(g(13))?
A. 17/3
B. 35
C. x+4/3
D. 13
please help
What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125
Answer:
x = 21∠1 = 120°Step-by-step explanation:
The two interior same-side angles are supplementary, so ...
... (5x +15)° +(3x -3)° = 180°
... 8x +12 = 180 . . . . . . . . . divide by °, collect terms
... 8x = 168 . . . . . . . . . . . . subtract 12
... x = 21 . . . . . . . . . . . . . . . divide by 8
Obtuse ∠1 has the same measure as its corresponding angle, (5x+15)°, so is ...
... ∠1 = (5·21 +15)° = 120°
Right trapezoid WXYZ is shown. What is the measure of angle WXY?
Answer: [tex]107^{\circ}[/tex]
Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]
And, [tex]\angle XWZ= 73^{\circ}[/tex]
Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}
Therefore,
[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]
⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]
⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]
Answer:
C. [tex]107^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.
We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.
Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:
[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]
Upon substituting the given measures of our trapezoid we will get,
[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]
[tex]m\angle WXY=107^{\circ}[/tex]
Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.
Graph each line y -7 = x + 4
To graph y - 7 = x + 4, rewrite the equation in slope-intercept form as y = x + 11. Plot the y-intercept at (0, 11), choose another value for x to find a second point, like (1, 12), and draw the line through these points to visualize the dependence of y on x.
Explanation:To graph the line given by the equation y - 7 = x + 4, we first need to write it in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, we add 7 to both sides of the equation to get y = x + 11. This tells us the slope of the line is 1 (since for every increase by 1 in x, y increases by 1) and the y-intercept is 11 (this is where the line crosses the y-axis).
We can then plot the y-intercept on the graph by putting a point at (0, 11). To find another point, we can choose any value for x and solve for y. For example, if we choose x = 1, then y = 1 + 11 = 12, so another point on the line is (1, 12). By plotting these two points and drawing a line through them, we create the graph of the equation.
For more accurate results, plotting more points using various x values and connecting them would be ideal. This graphical representation illustrates the dependence of y on x.
If an experiment consists of five outcomes with p(o1) = 0.10, p(o2) = 0.20, p(o3) = 0.30, p(o4) = 0.25, then p(o5) is
If I put $1500 into my savings account in earned $180 of an interest at 4% simple interest how long was my money in the bank
the difference between the measures of two complementary angles is 46. determine the measures of the two angles?
Final answer:
To determine the measures of two complementary angles with a 46-degree difference, you can set up an equation and solve for the angles, resulting in approximately 22.0 degrees and 68.0 degrees.
Explanation:
Complementary angles are two angles that add up to 90 degrees. If the difference between them is 46 degrees, we can set up an equation to find their measures:
Let one angle be x. The other angle would then be 90 - x.
Given that the difference between them is 46, we have the equation: 90 - x - x = 46.
Solving the equation, the angles are approximately 22.0 degrees and 68.0 degrees.
Find the value of x if C is the midpoint of AB, AC=4x+5, and AB=78
Given that AC = 4x+5, and C is the midpoint of AB, meaning AC = CB, then AB = 2*(4x+5). Given that AB = 78, we can solve the equation 8x + 10 = 78 to find x = 8.5.
Explanation:The subject matter of this question is geometry, specifically concerning line segments and midpoints. If C is the midpoint of AB, then segments AC and CB are equal. This is a fundamental characteristic of midpoints.
Since AC = 4x + 5 and CB = AC, it also means that CB = 4x + 5. This implies that the total length of AB (which is the sum of AC and CB) equals 2 * (4x + 5). Therefore, AB equals 8x + 10.
We are given that AB = 78. So, we can set up and solve the equation 8x + 10 = 78. Subtracting 10 from both sides of the equation gives us 8x = 68. Dividing each side by 8 gives us x = 8.5. Therefore, the value of x that satisfies the given conditions is 8.5.
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Aidan has a lemonade stand. He spent $4.55 on supplies to make lemonade and $8.45 on supplies to make cookies. At his lemonade stand, he sold 23 cups of lemonade for $0.50 each and 17 cookies for $0.50 each. What were Ayden's profits that day
Please help me with 18 and 19
Which phrase describes the variable expression y-5
A cone is 10 inches tall and has a radius of 3 inches. What is the cone’s volume?
94.25 is the cone’s volume according to the given information.
What is volume?Volume is a measurement of three-dimensional space that is inhabited. It is frequently expressed quantitatively utilizing SI-derived units, as well as several imperial or US-standard units. Volume and the of length are connected.
The space covered inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the material's potential.
Area of the base is πr² where r is the radius.
Area of the base = πr²
The volume of a cone is ⅓ πr²h where h is the height.
The volume of the cone = ⅓ πr²
The cone and circle will be treated in the same equation
So the volume is
= ⅓ π×9×10
=30 π
= 94.25 approximately.
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If an employer spends $30,000 for weight-lifting equipment for the company gym. The company charges $100 a year to each employee who wants to buy a gym pass. The pass is for an unlimited amount of uses. There are 50 employees that work for this company. How many years will it take to pay off the weight-lifting equipment if half of the employees buy the gym pass each year?
half of 50 is 25
25 *100 = 2500 a year
30,000 / 2500 = 12
it will take 12 years
Marvin reflected this trapezoid over a line, but only 2 of the vertices changed position. Which line could Marvin have used for the reflection?
if y=9 When x= -3 find x when y=6
Answer:
fawfafw
Step-by-step explanation:
awfafafawfa
What is the measure of angle Y?
Round your answer to the nearest degree
24
26
69
61
Answer:
I just took the test the answer is indeed 24
Step-by-step explanation:
Write 6.0126.012 as a mixed number in simplest form
If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c
A certain elevator can hold no more than 2500 pounds. Define a variable and write an inequality for this situation
Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.
Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.
The inequality representing the situation would be:
x≤2500
This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. the probabilities corresponding to the 14 possible values of x are summarized in the given table. find the probability of selecting exactly 4 girls..
Answer:
0.061
Step-by-step explanation:
Round 256 and 321 ( need to when rounding in the hundreds place do we not change the entire number?
PLEASE HELP ME!
At rugby practice, a group of 8 players stands in a circle and throws the ball from one person to the next. another player is trying to run faster than the ball moves around the circle as it is thrown from one player to the next. After 24 throws, the runner is right next to the ball. If the radius of the circle is 9yd, how many yards has the runner traveled? round your answer to the nearest tenth
Final answer:
The runner traveled approximately 45.1 yards around the circle during 24 throws at rugby practice.
Explanation:
The runner traveled approximately 45.1 yards.
To solve this, we can consider the circumference of the circle formed by the players, which is 2π times the radius. After 24 throws, the runner would have traveled a distance equivalent to 24 times the circumference of the circle.
So, the total distance the runner traveled would be 24 * (2π * 9) = 24 * 56.5487 = approximately 1357.2yd. Rounding to the nearest tenth, the runner traveled approximately 45.1 yards.
In a random sample of 55 newborn babies, what is the probability that 44% or fewer of the sample are boys. (use 3 decimal places). hint: you are asked to find p(p^^\^ < .44 ). to calculate this first find the z-score and then calculate the probability
what is the greatest common factor of 125, 50, 275
There are 34 animals in a farmyard. some are cows and some are chickens. in total there are 104 legs. how many chickens are there?
Using a system of equations, the number of chickens that are there is calculated as: 16.
How to find how many chickens are there using system of equations?Let's set up and solve the system of equations:
C + Ch = 34 (Total number of animals)
4C + 2Ch = 104 (Total number of legs)
Use a method like substitution or elimination to solve the system. Let's use elimination:
Multiply equation 1 by 2 to make the coefficients of 'Ch' in both equations the same:
2C + 2Ch = 68
Subtract equation 1 from equation 2:
(4C + 2Ch) - (2C + 2Ch) = 104 - 68
This simplifies to:
2C = 36
C = 18
Now that we know there are 18 cows, we can find the number of chickens using equation 1:
18 + Ch = 34
Subtract 18 from both sides:
Ch = 34 - 18
Ch = 16
So, there are 16 chickens on the farm.
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In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math
Can anybody help me please?
What is the value for ƒ(x) = 4²ˣ - 100 when x = 2 ?
Answer:
f(x)=156
Step-by-step explanation:
Which of the following is true for the relation f(x) = 3x2 + 5?
Only the inverse is a function.
Neither the equation nor its inverse is a function.
Only the equation is a function.
Both the equation and its inverse are functions.
Consider the graph of the quadratic function y = 2x2 – 4x + 2. How many zeros does the graph have?
The graph has:
One zero with multiplicity 2.
Step-by-step explanation:We are given a quadratic function in terms of the variable x as:
[tex]y=2x^2-4x+2[/tex]
The number of zeros of this function is equal to the number of points where the graph of this quadratic function intersects the x axis and the corresponding value of x is the root of this quadratic equation.
Hence, after plotting the graph of this quadratic function we observe that the graph meets the x-axis at just one point.
Hence, the number of zeros of the graph is:
One.