Answer:
B. 25
Step-by-step explanation:
In order to find out the value of x + 2, you need to know what x is. Let's solve for it then sub it back in to evaluate the expression.
3(x+2)=5(x-8) distributes out to give you
3x + 6 = 5x - 40. Get like terms together on opposite sides of the equals sign:
46 = 2x and divide to get x = 23. Now that we know that x = 23, that means that x + 2 is the same as 23 + 2 which is 25.
The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
Answer: the answer is a
Answer:
a
Step-by-step explanation:
PLEASE CAN SOMEONE HELP ME ON THIS , IM NOT SURE WHATS SUPPOSE TO BE DONE OR WHAT TO DO. PLEASE HELP PLS
Answer:
[tex]x^{2/3}[/tex]
Step-by-step explanation:
When you have a power then a root like that, you have to divide the power by the root.
So, in this case, you have q square (x²) and a cubic root (³√).
So, you take your square (2) and divide it by the cube (3), to get a new power of 2/3.
Let's verify it with x = 2
[tex]\sqrt[3]{2^{2} } = \sqrt[3]{4} = 1.59\\\\\\2^{2/3} = 1.59[/tex]
So, both expressions equal the same thing, it means they're equivalent.
An engineer measured the slopes of the four straight sections of a roller coaster track listed in the table below. The steepness of each slope is equal to the absolute value of the slope.
I believe it is section 3 because it is the closest to 0.
A plane flying against the wind flew 270 miles in 3 hours. Flying with the wind, the plane traveled 260 miles in 2 hours. Find the rate of the plane in calm air and the rate of the wind. I want to know the answer for this pleasee
Answer:
The plane would have been going the amount as it supposed to g.
Step-by-step explanation:
The plane flying against the wind is going 90 mph and the plane flying with the wind is traveling at 130 mph. Your welcome
What are the domain and range of f(x) = (1/6)x + 2? domain: ; range: {y | y > 0} domain: ; range: {y | y > 2} domain: {x | x is a real number}; range: {y | y > 2} domain: {x | x is a real number}; range: {y | y > –2}
Final answer:
The domain of f(x) = (1/6)x + 2 is all real numbers and the range is y > 2.
Explanation:
The domain of the function f(x) = (1/6)x + 2 is {x | x is a real number} because there are no restrictions on the input values. The range of the function is {y | y > 2} because any value of x will give a y-value greater than 2. To find the range, you can consider that the slope of the function is positive, meaning that as x increases, y will also increase, but it will never go below 2.
How many of those 100 customers would likely want the store to stay open late.
Answer:
Step-by-step explanation:
find the percentage of the people who want the store open longer. of the 40 customers that were surveyed, 12 would want that. 12 divided by 40 is .30, so 30 percent of the customers want it open.
100 more customers are surveyed, so you take 30 percent of 100, which is 30. your answer is "B"
Determine which of the mapping diagrams represents a relation that is not a function.
I really need help with this, thank you
A function is a relation where each input is related to exactly one output. In mapping diagrams, if an 'x' value is associated with multiple 'y' values, the relation is not a function. Make sure to check the mapping to determine this.
Explanation:In mathematics, specifically in the area of functions and relations, a function is a type of relation where each input (or 'x' value) is related to exactly one output (or 'y' value). If a relation has an 'x' value that is associated with more than one 'y' value, we say that this relation is not a function. When examining mapping diagrams, you can tell if it's a function or not by checking this rule.
For example, if you have a mapping diagram where the number 1 (the 'x' value) is mapped to both 2 and 3 (the 'y' values), this would not be a function because one input is associated with more than one output. On the other hand, if you have a mapping where every 'x' value is mapped to one 'y' value, such as 1 to 2, 2 to 3 and 3 to 4, this is a function.
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Please help me out please
The purple area is the sum of the circle sector and the triangle:
[tex]A = A_s+A_t[/tex]
Let's compute them one at the time:
The sector is identified by an angle of 260°, because it is the remainder of a 100° angle.
We can build this simple proportion
[tex]\text{total area}\div\text{total angle}=\text{sector area}\div\text{sector angle}[/tex]
The area of the circle is [tex]\pi r^2[/tex], so we have
[tex]\pi 8.35^2\div 360= A_s\div 260[/tex]
Solving for the sector area, we have
[tex]A_s = \dfrac{\pi\cdot8.35^2\cdot260}{360} = \dfrac{8.35^2\cdot 13\pi}{18}[/tex]
The triangle is an isosceles triangle, because two of the sides are radii. This means that the height is also a bisector, so we can cut the triangle in two 90-50-40 triangles.
Using the law of sines, we can deduce that the height is
[tex]8.35\sin(40)[/tex]
And half the base is
[tex]8.35\sin(50)[/tex]
So, the area of the triangle is
[tex]A_t = 8.35^2\sin(40)\sin(50)[/tex]
So, the purple area is
[tex]A = A_s+A_t =\\\dfrac{8.35^2\cdot 13\pi}{18}+8.35^2\sin(40)\sin(50) = 8.35^2\left(\dfrac{13}{18}\pi+\sin(40)\sin(50)\right)\approx 192.5[/tex]
What is the rectangular form of r=6/costheta
Answer:
The line x=6.
Step-by-step explanation:
The usual translations between polar and rectangular coordinates are ...
x = r·cos(θ)y = r·sin(θ)If we multiply the given equation by cos(θ), we get ...
r·cos(θ) = 6
Using the above translation, this becomes ...
x = 6
As a contestant on a televised game show, Akash gets to spin the big prize wheel, which has a radius of 2 yards. What is the prize wheel's diameter?
Answer:
4 yards. The radius is half the diameter of the circle and the length of one point of the circle to the center of the circle.
Step-by-step explanation:
Final answer:
The diameter of a prize wheel with a radius of 2 yards is calculated by multiplying the radius by 2, resulting in a diameter of 4 yards.
Explanation:
Akash, a contestant on a game show, gets to spin a prize wheel with a radius of 2 yards. The diameter of a circle is twice the length of its radius. Therefore, to find the prize wheel's diameter, we simply need to multiply the radius by 2.
Calculating Diameter:
Diameter = 2 × Radius
Diameter = 2 × 2 yards
Diameter = 4 yards
The prize wheel's diameter is 4 yards.
Zack has two strings of equal length. One string is red the other is yellow. After cutting 2.5 meters of the red string and 3.8 M of the yellow string, the length of the red string is 1.5 times that of the yellow strain. Find the original length of the yellow string.
Answer:
6.4 m
Step-by-step explanation:
We have 2 expressions here. The first one is the fact that r = y. That's one of 2 equations. The second one involves whats' left after cutting off certain lengths of each color string. We cut 2.5 m from red, we cut 3.8 m from yellow. We know that what's left of red is 1.5 times the length of what's left of yellow. What's left of red is r - 2.5; what's left of yellow is y - 3.8. We know that r = 1.5y, so filling that in with our corresponding expressions gives us
r - 2.5 = 1.5(y - 3.8)
Distribute to get
r - 25 = 1.5y - 3.2
Now from the first expression, r = y, so fill in y for r to get an equation in one variable:
y - 2.5 = 1.5y - 3.2
Combine like terms:
-.5y = -3.2 and divide to get
y = 6.4
Check it to make sure it works. What's left of red should be 1.5 times the length of what's left of yellow and y = 6.4:
What's left of red: 6.4 - 2.5 = 3.9
What's left of yellow: 6.4 - 3.8 = 2.6
1.5 x 2.6 = 3.9, just like it should!
Identify the measure of arc UPR. PLEASE HELP!! I don't understand!!
Answer:
189°
Step-by-step explanation:
∠UPR = ∠UOP + ∠POQ + ∠QOR = 81° + 56° + 52° = 189°
How many solutions does the system of equations have? 2x + 3y = 6 y=-2/3x-1A. 0 B. 1 C. 2 D. infinite
Answer:
0
Because -2/3x-1=2-2/3x
-2/3x+2/3x=2+1
0=3
and that's wrong, so there is no solution.
ANSWER
A. 0
EXPLANATION
The first equation is
2x + 3y = 6
The second equation is
y=-2/3x-1
Let us rewrite the first equation in slope-intercept form.
3y =-2x+ 6
[tex]y = - \frac{2}{3} x + 2[/tex]
We can see that both equations has the same slope,
[tex] m = - \frac{2}{3} [/tex]
but different y-intercepts.
This implies that the two lines do not intersect because they are parallel.
Therefore the system has no solution.
HELP! AND PLS EXPLAIN!
Name the point. Write the result in the form a + bi.
Answer:
-7+6i
Step-by-step explanation:
On the Cartesian x-y plane, a point is located by giving the ordered pair of its coordinates. A point in this position on the x-y plane would have coordinates (-7, 6). That is, it is located 7 units to the left of the vertical axis, and 6 units above the horizontal axis.
The complex plane is similar in many ways, but each point represents a single number (not a pair of numbers). That single number has two parts: a real part and an imaginary part. The real part is measured by the real axis, a horizontal axis that looks very much like the x-axis of a Cartesian plane. The imaginary part is measured against the imaginary axis, a vertical axis that looks very much like the y-axis of a Cartesian plane.
Just as an ordered pair locates a point on the Cartesian plane, a complex number with a real part and an imaginary part locates a point on the complex plane. The imaginary part is identified by the "i" multiplier. (In some fields of study, notably Electrical Engineering, "j" is used instead of "i", because "i" has a different meaning.)
Here, your point is 7 units left of the imaginary axis, so has a real part of -7. It is 6 units above the real axis, so has an imaginary part of 6. When both parts are written together, the number is written -7+6i.
Comparing this form to a+bi, we find a=-7, b=6.
A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a black marble?
6/24
5/24
17/24
7/24
Answer:
D 7/24
Step-by-step explanation:
Because on the first choice, there is a total of 24 marbles
if theres 7 black marbles the chance of pulling a black marble is 7/24
Find the 18th term of the sequence 5, 8, 11, 14, 17...
Answer:
The answer would be 56.
Answer:
56 will be your answer
Step-by-step explanation:
20 23 26 29 32 35 38 41 44 47 50 53 56
Please mark Brainiest.
What is the measure of
Answer:
91
Step-by-step explanation:
The lines that are parallel are parallel and because of that 89+91=180 for two angles of the square on the same side.
I know it's a long question but the reward is great!
Please answer if you truly know how to help!! Thank you!!
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola.
The equation for this parabola is y = -x2 + 36.
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.
What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?
What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.
Is the linear function you created with your table positive or negative? Explain.
What are the solutions or solution to the system of equations created? Explain what it or they represent.
Again thank you if you can help me with this!!
Answer:
Step-by-step explanation:
Here y = -x^2 + 36.
We can choose x values pretty much at random and then calculate the associated y values:
x y = -x^2 + 36
---- --------------------
0 36
2 -2^2 + 36 = 32
-2 -4 + 36 = 32
3 -9 + 36 = 27
You did not share the equation of the slanted line. Let's assume that the equation of this line is y = mx + b. The first two points in the table above are (0, 36) and (2, 32). We could find the equation of this line as follows:
Slope: as we move from (0, 36) to (2, 32), x increases by 2 and y decreases by 4. Thus, the slope is m = rise / run = -4/2, or -2. Using info from the point (0, 36), we find the y-intercept of this straight line:
y = mx + b becomes 36 = m(0) + b, so b = 36, and the line is y = -2x + 36.
We need to find the points of intersection of y = -2x + 36 and y = -x^2 + 36. We can equate these equations to eliminate y: -2x + 36 = -x^2 + 36, or
-2x = -x^2. Equivalently, 2x - x^2 = 0, or (x)(2 - x) = 0. Then x = 0 and x = 2.
This says that the line and the parabola intersect in at least two places:
(0, 36) and (2, 32).
someone help please?
Two students are using estimation to determine reasonable solutions to the expression 89.1 x 9.3 Katie uses the 99 x 10. Amaya uses the expression 89 x 9.
A.Which is the best comparison of the estimates and the actual product?
B.Both estimates will be less than the original product.
C. Both estimates will be greater than the original product.
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.
D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.
Choice D), since Katie went way over the decimals, and Amaya went slightly under to the closest number
Answer:
Amaya's estimate is the closer one.
D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product
Step-by-step explanation:
The original expression is 89.1 x 9.3. Katie changed the 89.1 to 99 (difference of 9.9) and the 9.3 to 10 (difference of 0.7). On the other hand, Amaya changed the 89.1 to 89 (0.1 difference) and the 9.3 to 9 (0.3 difference).
Therefore the best comparison would be Amaya's estimate since her numbers are closer to the original expression.
Katie's estimate will be greater than the actual product because she rounded up the numbers and Amaya's estimate will be less than the actual product because she rounded down the numbers.
What is the value of pi to 10 decimal places
Answer:
3. 415926535
Step-by-step explanation:
How many milliliters are equal to 4 liters
Answer:
[tex]4,000 ml = 4 liters[/tex]
Hope this helps!
Find the measure of Angle A. Type the correct answer rounded to one decimal place.
Answer:
22.6°
Step-by-step explanation:
Since all three sides of the right triangle are given, you can use any of the trig ratios to find the angle. I choose to use the tangent.
tan(A) = BC/AC = 5/12
Then the inverse trig function tells you ...
A = arctan(5/12) = 22.6°
Check the picture below.
make sure your calculator is in Degree mode.
(Please dont ignore, need help) ❗️
Answer:
[tex]5.x=5x\\x^{2} =4, x=2\\x=2[/tex]
Step-by-step explanation:
hope its right
The prices of the 10 most popular truck tires at a tire store are shown here. What's the range of the prices?
$249.99, $239.99, $236.99, 223.99, 221.99
$219.99, $219.99, $212.49, $207.49, $201.49
A. $28.00
B. $48.00
C. $18.00
D. $48.50
The range of the given data is $48.50, i.e. option D.
What is range?The range is defined as a relation between a set of inputs having one output each.
We have,
The prices of the 10 most popular truck tires,
i.e.
$249.99, $239.99, $236.99, 223.99, 221.99, $219.99, $219.99, $212.49, $207.49, $201.49.
Now,
Arrange the given data in the ascending form,
i.e.
$201.49, $207.49, $212.49, $219.99, $219.99, $221.99, $223.99, $236.99, $239.99, $249.99.
Now,
We have,
The Greatest and the smallest number,
i.e.
Greatest number = $249.99
Smallest number = $201.49
So,
The range = Greatest number - Smallest number
i.e.
The range = $249.99 - $201.49 = $ 48.50
So,
The range of the given data is $48.50.
Hence, we can say that the range of the given data is $48.50, i.e. option D.
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Find the value in degrees 2x+6. X 96
Answer:
x = -0.04166666667
Step-by-step explanation:
2x + 8 * 96 = 0
2x * 96 = -8
x/2 * 96 = -8/2
x * 96 = -4
x = -4/96
x = -0.04166666667
Answer:
198
Explanation:
The way to solve this equation is by using the "X=96" from moving it to the x in the equation witch makes it "2(96) + 6" When the variable is after the letter like 2x it always means multiplying. So when you multiply 2(96) together you get 192, then you would add 6+192 which would equal 198. I hope I helped! :D
Please help me with this
Answer:
first name the triangles
triangle 1=triangleABC
triangle2=trianglePQR
therefore,SSS:sideAB of ABC=sidePQ of PQR
Find the value of x, rounded to the nearest tenth.
Answer:
x= 36.2
Step-by-step explanation:
Because that's a right triangle and the reference angle and adjacent side measures are given to us, we can use the trig ratio for cosine. Cosine relates the side adjacent to (next to...NOT ever the hypotenuse!) the angle to the hypotenuse. Therefore, our equation will look like this:
[tex]cos(28)=\frac{32}{x}[/tex]
Solving for x we have
[tex]x=\frac{32}{cos(28)}[/tex]
Perform that operation on your calculator in degree mode and you'll get that the length of the hypotenuse is 36.2. If for some reason, your math gave you the length of the hypotenuse and it was shorter than one of the other sides, you did something wrong. The hypotenuse will ALWAYS be the longest side in a right triangle.
Write the following integers in order from least to greatest. -2, -4, 0, -6, -5
The following integers from least to greatest are as follows:
0, -2, -4, -5, -6
Answer:
-6, -5, -4, -2, 0
Step-by-step explanation:
Find them on the number line and read them from left to right.
__
You can also enter the numbers into a spreadsheet and use the 'sort' function.
_____
The key understanding here seems to be that negative numbers with a larger magnitude are smaller or less than negative numbers with a smaller magnitude:
-6 is less than -5
And all negative numbers are less than zero or any positive numbers.
Factor completely. y2 - 12y + 32 A. (y + 4)(y + 8) B. (y - 4)(y - 8) C. (y + 18)(y + 2) D. (y - 18)(y - 2)
Ask: Which two numbers add up to -12 and multiply to 32?
-8 and -4
Rewrite the expression using the above
= (y - 4)(y - 8)
Answer:
The correct answer is option B.
Step-by-step explanation:
Given quadratic equation : [tex]y^2-12y+32[/tex]
Using middle term splitting theorem:
=[tex]y^2-12y+32[/tex]
=[tex]y^2-8y-4y+32[/tex]
=[tex]y(y-8)-4(y-8)[/tex]
=[tex](y-8)(y-4)[/tex]
y = 8, 4
The factors of given quadratic equation is (y-8)(y-4).
Randall recorded 8 songs on his most recent CD the total length of the CD is 49 minutes find a until rate to represent the average length per song on the CF Please help I don't understand
Answer:
6.125 minutes per song
Step-by-step explanation:
Unit rates are based on a single unit of something. Like price per 1 gallon of gas; price for 1 pound of bananas; miles driven per 1 gallon of gas, etc. What we are looking for in minutes per song.
Use a proportion to solve this with minutes on top and number of songs on the bottom. We know that 49 minutes = 8 songs, and we want to know how many minutes (x) per 1 song:
[tex]\frac{min}{song}:\frac{49}{8}= \frac{x}{1}[/tex]
Cross multiply to get
8x = 49 so
x = 6.125 minutes per song
The question asked was about finding the average length of songs on a CD. We calculated this by dividing the total length of the CD (49 minutes) by the total number of songs (8), which gives us an average song length of 6.125 minutes.
Explanation:The subject of the question is average, a fundamental concept in mathematics. In this particular question, we need to find out the average length of the songs on Randall's CD. We know that the total length of his CD is 49 minutes, and he has recorded 8 songs on it. Finding the average involves dividing the total by the number of units.
The steps to find the average length per song are as follows:
Add up the total amount - in this case, it's 49 minutes.Count the number of units - here, it's 8 songs.Divide the total (49 minutes) by the number of units (8 songs).Upon carrying out this calculation, we discover that the average length of each song is approximately 6.125 minutes.
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