Answer:
To find the length of AB using the segment addition postulate , we need to add the lengths of segments AC and CB.
AC + CB = AB
Substituting the given lengths:
2x-3 + 24 = 5x+6
Simplifying and solving for x:
21 = 3x
x = 7
Now that we know x, we can substitute it back into the expression for AB:
AB = 2x-3 + 24 = 2(7)-3 + 24 = 14-3+24 = 35
Therefore, the length of AB is 35.
Step-by-step explanation:
How to figure out this math problem 6+5(m+1)=
Answer:
5m + 11
Step-by-step explanation:
6+5(m+1)
6 + 5m + 5
5m + 11
Watch help video
The point A is plotted on the coordinate grid below. Plot the point A', the reflection
of A over the x-axis.
Click on the graph to plot a point. Click a point to delete it.
5
3
N
A
T
3
2
1
2
A
3
5
Answer:
The answer is point A' (3, -2).
I don't know how to do.
Please help me with this
An example of a function that models a linear relationship between two quantities, x and y is y = mx + b
How to explain the functionWe need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:
y = mx + b
In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.
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Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.
Box A measures 1.2 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 1.6 feet wide.
The wrapping paper costs $6.79 per 80 square feet.
What is the cost of wrapping both boxes?
Enter your answer in the box.
The cost of wrapping both boxes would be = $1.13
How to o calculate the area of rectangular prisms?Surface Area of a rectangular prism = 2 (lh +wh + lw )
For box A;where length = 0.6
width = 1
height =1.2
The surface area of Box A
= 2( 0.6×1.2+1×1.2+0.6×1)
= 2( 2.52)
= 5.04ft²
For box B ;where length = 0.5
width = 1.6
height =1.6
Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)
= 2(4.16)
= 8.32ft²
The total area of the boxes = 5.04+8.32 = 13.36
But 6.79 = 80 ft²
X = 13.36ft²
make X the subject of formula;
X = 13.36×6.79/80
X = 90.7144/80
X= $1.13
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Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
5. A soccer ball has a circumference of 70 centimeters at widest polne. What the volume and total surface area of the soccer boll
According to our question we have :-
\(\begin{gathered} 2\pi r=70 \\ r=\frac{70}{2\pi}=\frac{35}{\pi} \end{gathered}\)Now volume of the ball will be:-
\(\begin{gathered} V=\frac{4}{3}\pi\times r^3 \\ =\frac{4}{3}\times\pi\times\frac{35}{\pi}\times\frac{35}{\pi}\times\frac{35}{\pi} \\ =\frac{4}{3}\times\frac{35}{\square}\times\frac{35\times7}{22}\times\frac{35\times7}{22} \\ =5787.5 \end{gathered}\)So volume of ball ia 5787.5 cubic centimeter
Now surface area of ball will be :-
\(\begin{gathered} A=6\pi\times r^2^{} \\ =6\times\pi\times\frac{35}{\pi}\times\frac{35}{\pi} \\ =6\times35\times\frac{35\times7}{22} \\ =2338.6 \end{gathered}\)So surface area of ball is 2338.6 centimeter square
Benson asked a group of 9th, 10th, 11th, and 12th graders the
number of hours they work per week in the summer. The means of
each group are provided below:
9th: 14.2 hours
10th: 18.8 hours
11th: 21.2 hours
12th: 24.9 hours
Which conclusion can be made from this data?
Answer:
YlThe higher the grader the more hours they can work.
Step-by-step explanation:
We can see that the higher the grader the more hours they can work ; which could mean less academic work if the work defined is that with which to earn money but if the work defined is academic it means more hours of academic work
Mr. Harris has 54.8 acres of land. Mr. Fitz has 0.35 times as many acres as Mr. Harris has. How many acres of land does Mr. Fitz have?
Answer: 19.8 acres
Step-by-step explanation:
multiply 54.8 by .35 to get 19.18
Which statement is true regarding the functions on the graph?
f(2) = g(2)
f(0) = g(0)
f(2) = g(0)
f(0) = g(2)
The true regarding the functions on the graph is f(2) = g(2)
How to determine the true statement?The graph that completes the question is added as an attachment
From the attached graph, we can see that both lines intersect at:
x = 2
This means that:
f(2) = g(2)
Hence, the true regarding the functions on the graph is f(2) = g(2)
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Work out (4.32 x 10-5) = (7.5 x 10-8)
Give your answer in standard form.
Answer:
0=15-21.5
Step-by-step explanation:
21.5=15
0=15-21.5
Find the present value that will grow to $1000 if the annual interest rate is 5.5% compounded quarterly for 10 years
Answer:
1708.14 rounded
Step-by-step explanation:
Y= a•b^x
5.5% = 0.055
1+0.055=1.055
Y= 1000•1.055^10
Y= 1708.14
Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?
Answer:
Hello! Answer below! :)
Step-by-step explanation:
**Least to greatest** => \(1/10 < 3/10 < 0.9\)
Look at the picture below!
By: RobloxYt
If the sides of a triangle have the following lengths, find a range possible values for x
CD = x-4, DE = 3x + 21, CE = 6x - 13
Answer:
9.5 < x < 15
Step-by-step explanation:
The possible values of x for the given problem lies in (-infinity, -1.33) ∪ (9.5, 15).
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
Given that,
The sides of the triangle are as follows,
CD = x - 4, DE = 3x + 21 and CE = 6x - 13.
There can be three cases for the given problem.
Case 1,
The longest side of the triangle is CE = 6x - 13.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
6x - 13 < x - 4 + 3x + 21
=> 6x - 13 < 4x + 17
=> 6x - 4x < 17 + 13
=> 2x < 30
=> x < 15
Case 2,
The longest side of the triangle is DE = 3x + 21.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
3x + 21 < 6x - 13 + x - 4
=> 3x + 21 < 7x - 17
=> 7x - 3x > 21 + 17
=> x > 38/4
=> x > 9.5
Case 3,
The longest side of the triangle is CD = x - 4.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
x - 4 < 3x + 21 + 6x - 13
=> x - 4 < 9x + 8
=> x - 9x > 8 + 4
=> x < -1.33
Thus, the range of the values of x is intersection of x < 15, x > 9.5 and x < -1.33, which is equivalent to (-infinity, -1.33) ∪ (9.5, 15).
Hence, the range of possible values of x lies in the interval (-infinity, -1.33) ∪ (9.5, 15).
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A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Please only answer if u actually know pls!
At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.
To find the total revenue at each price, we can multiply the price by the corresponding quantity.
Price Quantity Total Revenue
$6 0 $0
$5 1 $5
$4 2 $8
$3 3 $9
$2 4 $8
$1 5 $5
To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.
In this case, the highest total revenue is $9, which occurs when the price is $3.
At a price of $3, the company will sell 3 units (as indicated in the Quantity column).
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Simplify the following expression: 7(2x+ 6y)
Answer:
7(2x+ 6y) = 14x + 42y
Step-by-step explanation:
give brainllest plz
Find the output, y, when the input, x, is -9.
y =
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
What function is shown on the graph
The function shown on the graph is a sine function.
In the question, we are asked to identify the function that has been shown in the graph.
A trigonometric function called sin x, where x is the angle under discussion, stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, it is the ratio of the hypotenuse to the side opposite the angle under examination, and its value changes as the angle changes. In the study of physics, sound and light waves are represented by the sine function.
Since sin x is defined for any x in (-∞, ∞) the domain of the sine function is all real integers. As the value of sin x does not exceed this, its range is [-1, 1], in contrast. The sine function's graph resembles an oscillating wave between -1 and 1. Additionally, sin x has a period of 2π since its value repeats every 2π radians. The domain and range of sine function can also be observed via its graph.
The graph shown in the figure satisfies all the conditions of being a sine graph.
Thus, the function shown on the graph is a sine function
.
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Help Please Math is so stressful
Answer:
A=-6
Step-by-step explanation:
Answer:
B, D, and E
Step-by-step explanation:
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-4,8)
(-6,-2)
(4,5)
The coordinates of the fourth vertex is (1,-8).
Find the coordinates of the fourth vertex?As three of a parallelogram's vertices, we were given:
(3,-2), (-1,-4), (5,-6). (5,-6).
We see that (3,-2) and (-1,-4) form a diagonal after charting the points as in the attachment.
The midpoint formula determines what point on this diagonal is in the middle.
Keep in mind that both diagonals' midpoints are identical.
Specify the coordinates of the fourth point (x,y).
As a result of once more applying the midpoint formula to (3, -2), we get:
x=1 and y=-8
The fourth point's locational details are as follows:
(1,-8).
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The complete question is,
A good can be produced for a total cost of 600 or 850 when making 100 units and 150 units, respectively. Discover an equation for TC in terms of Q, the number of generated units, presuming that the total cost function is linear.
Divide.
.-3.52
-1.6
What is the quotient?
Enter your answer in the box.
Answer:
2.2
Step-by-step explanation:
i took the test in k12 and it was correct :3
the result is approximately 2.2. To divide -3.52 by -1.6, follow these steps.
1. **Divide the absolute values:** Divide the absolute values of the numbers: 3.52 divided by 1.6, which is approximately 2.2.
2. **Determine the sign:** The signs of the original numbers are both negative, which means the result will be positive.
So, the result is approximately 2.2.
In mathematical terms, this can be written as:
\(\[\frac{-3.52}{-1.6} = 2.2\]\)
Remember, division is the process of finding out how many times one number (the divisor) fits into another number (the dividend), and the result is called the quotient.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Expand and simplify x(x-3)(x+5)
Answer:
x^3+2x^2-15x
Step-by-step explanation:
Ohk there various methods and steps which can be followed,but let's simplify
In the first method,
Lets put off the brackets hence we will multiply,simplify the equations in the brackets,which would be as followed:
x(x-3)(x+5)
Let's Start with solving the bracket equation,which would be-
(x-3)(x+5)=x(x+5)-3(x+5)=x^2+5x-3x-15
=x^2+2x-15
While multiplying the above equation we got with `x',we get:
x(x^2+2x-15)=x^3+2x^2-15x(Hence solved)
Or/otherway/otherwise:
x(x-3)(x+5)=[x(x-3)](x+5)=(x^2-3x)(x+5)
=x^2(x+5)-3x(x+5)=x^3+5x^2-3x^2-15x
=x^3+2x^2-15x(Solved)
Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
Step-by-step explanation:
Choose the three equivalent forms of 6.375.
six and three eighths, 6.375%, fifty one eighths
six and three seventy fifths, 6.375%, thirty seven sixths
six and three seventy fifths, 637.5%, thirty seven sixths
six and three eighths, 637.5%, fifty one eighths
The three equivalent forms of 6.375 are six and three eighths, fifty one eights and 6.375
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
six and three eighths = 6 + (3/8) = 6.375
fifty one eights = 51/8 = 6.375
637.5% = 637.5/100 = 6.375
The three equivalent forms of 6.375 are six and three eighths, fifty one eights and 6.375
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a skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $68 A season ski pass costs $350. The skier would have to rent skies with either passes by $30per day. How many days would the skier have to go skiing in order to make the season pass less expensive than daily passes?
Answer:
5 days
Step-by-step explanation:
Price of seasons pass deal: $380
No pass:
1 day: $98
2 days: $166
3 days: $234
4 days: $302
5 days: $400