The value of x, the length of the diagonal, to the nearest whole number is 5
To get the value of x from the given diagram, we will use the cosine rule as shown:
c² = a² + b² - 2ab cos Ф
From the given diagram;
a = 6
b = 4
Ф = 55 degrees
Substitute into the formula
c² = 6² + 4² - 2(4)(6)cos 55
c² = 36 + 16 - 48cos55
c² = 52 - 27.53
c² = 24.4
c = 4.94
c = 5 (to the nearest while number).
The value of x, the length of the diagonal, to the nearest whole number is 5
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Answer
A, x=16
Step-by-step explanation: edg 2022
Ten students from a school appear in one or more subjects for an inter school quiz competition as shown in the table given below. General Knowledge Math Science Acel Barek Carlin Acton Bay Acton Anael Max Anael Max Kai Kai Carl Anael Dario Dario Carlin Barek Let G represents the set of students appearing for General Knowledge, M represents the set of students appearing for Math, and S represents the set of students appearing for Science. Find G n M and G u S .
The computation shows that:
G n M = Anael and Max
G u S = Acel, Action, Anael, Max, Carl, Dario, Catlin, Kai, and Barek.
How to illustrate the information?From the information, ten students from a school appear in one or more subjects for an inter school quiz competition as shown in the table.
The subjects include general Knowledge Math Science.
Therefore, G represents the set of students appearing for General Knowledge, M represents the set of students appearing for Math, and S represents the set of students appearing for Science. The intersection is illustrated above.
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If you had six candy bars and you gave 12 people an equal piece, how much would
each person receive?
Answer:1/2 a candy bar
Step-by-step explanation:6 / 12 = 1/2
A horse owner needs to replace four sections of a coral for the horses. The first section
needs 26 yards of fencing, the second needs 10 3/5, the third, 10 1/5 yards, and the fourth,
8 3/10 yards. How many yards are needed to repair four sections of the fencing?
10
Answer:
55 1/10 yd
Step-by-step explanation:
26 + 10 + 3/5 + 10 + 1/5 + 8 + 3/10 =
= 54 + 4/5 + 3/10 =
= 54 + (8 + 3)/10 =
= 54 + 11/10 =
= 54 + 10/10 + 1/10 =
= 54 + 1 + 1/10 =
= 55 1/10
Answer:
55\(\frac{1}{10}\)
Step-by-step explanation:
Convert all the mixed numbers to fractions with a common denominator (10) then add them up:
26 + 53/5 + 51/5 + 83/10 =
26 + 106/10 + 102/10 + 83/10 =
26 + 291/10 =
26 + 29\(\frac{1}{10}\) = 55\(\frac{1}{10}\)
Which is the correct answers? (more than one)
Note: (if you give me a silly or absurd answer I will report you)
B True because both graphs approaches x=0 but never touches it
E True if you just graph it out you can see that graph of g is going down and the graph of x is going up
A false because neither of the equations have a y intercept they have asymptote of x=0
C false because it is also a reflection across the x axis
D incorrect is because they both have domain {0<x<♾}
Hope this helped!
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
An Annual is not an example of an agreement.
Determine the mean, median,mode,and range of the following data set. Show all of your work. Round to two decimal places as needed. 5,2,1,13,9,8,7,12
Which graph represents the solution set of the compound inequality below?
x+3<= (4x-12) < 20
OH
4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12
6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14
A graph that represents the solution set of the compound inequality is: graph D.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Next, we would solve the given compound inequality by making x the subject of formula as follows;
x + 3 < 1/2(4x - 12) < 20
Multiplying all through by 2, we have the following:
2x + 6 < 4x - 12 < 40
Next, we would solve the compound inequality in parts:
2x + 6 < 4x - 12
4x - 2x < 12 + 6
2x < 18
x < 18/2
x < 9.
4x - 12 < 40
4x < 40 + 12
4x < 52
x < 52/4
x < 13.
In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).
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The sum of 2 times p and 2 is 48. What is p?
Answer:
p = 23
Step-by-step explanation:
2p + 2 = 48
-2 -2
2p = 46
/2 /2
p = 23
Hope this helps and I hope u have an Amazing day!!
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?
Answer:
3/8
Step-by-step explanation:
hope it helps :)
Which sequence of transformations proves that shape I is similar to shape II?
The sequence of transformations that proves that the shapes are similar is given as follows:
B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5
How to obtain the transformations?First, we have that the orientation of the figure, hence it was reflected.
The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.
The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:
3/2 = 1.5.
Hence option B is the correct option for this problem.
Missing InformationThe missing parts of the problem are given by the image presented at the end of the answer.
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I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
We know that sum of angles of a triangle are equal to 180⁰
Therefore
29⁰+68⁰+x⁰=180⁰
97⁰+x⁰=180⁰
x⁰=180-97=83⁰
Hence x=83⁰
Also Side Note: x⁰=y⁰=83⁰(reason=vertically opposite angles)
I hope it helped you
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9200 with a standard deviation of 0.0050, within what interval will 99 percent of the sample means fall? (Round your answers to 4 decimal places.)
Confidence interval in which 99% of sample mean will fall is
0.9200 ± 0.00186
What is confidence interval?A confidence interval is the mean of an estimate minus the variability of that estimate. This is the range of values within which the estimate will fall within a certain level of confidence when the test is repeated.
Given,
Number of fuels n = 48
Mean μ = 0.9200
standard deviation s = 0.0050
Confidence = 99%
Z - value = 2.576
Confidence interval = μ ± zs/√n
CI = 0.9200 ± 2.576 × 0.0050/√48
CI = 0.9200 ± 2.576 × 0.0050/6.9282
CI = 0.9200 ± 0.01288/6.9282
CI = 0.9200 ± 0.00186
Hence, (0.9200 ± 0.00186) is the confidence interval within which 99% of sample mean will fall.
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Stacy worked 6 hours each day for 6 days she earned a total of $234 how much did Stacy earn per hour?
Answer:
Yes, the correct answer is $6.50..
Step-by-step explanation:
Stacy earns $6.5 per hour.
What is multiplication?Multiplication is the process of adding a number up to a given number.
Given that Stacy worked 6 hours each day for 6 days
The total number of hours Stacy worked is 6×6=36 hours
Therefore, Stacy earned $234 for 36 hours
$234 = 36 hours
$234/36 = 1 hour
$6.5 = 1 hour
Hence, Stacy earns $6.5 per hour.
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Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
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Dividing fractions word problems, please help I need it........
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
y=-0.024x^2+0.0791x+4.873
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
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Using a Table of Values to Find a Solution to a System
a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.
x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6
b) Give the solution for the equation:
Answer:
This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.
f(x) = 2.5x -10.5 g(x) = 64(0.5)^x
when x= 2... when x= 2...
f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2
f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16
when x= 3... when x= 3...
f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3
f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8
when x= 4... when x = 4...
f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4
f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4
when x= 5... when x= 5...
f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5
f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2
when x= 6... when x = 6...
f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6
f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1
Is c2−6c+9 a perfect square?
Answer:
yes it's a perfect square
(-28)-(3) i dont itjhggh
Hey there! I'm happy to help!
We have the number -28 and we are subtracting 3 from it. This means we are going even further into the negatives, so it is -31.
Have a wonderful day! :D
Answer:
- 31
Step-by-step explanation:
= (-28)-(3)
= - 31
classify the following differential equation s given in both standard and differential form. Q5 only
A table is being sold for 67% off the regular price the sale price is $536 what is the regular price
Answer:
Step-by-step explanation:
Use a simple Equation
Price = Number x Price
So Price = 536.
Since it was 67% off we multiple the price of the original by .67.
So
536 = .67x
Solve for x = 536/.67 = 800
The original Price is $800.
check by multiplying by the sale %.
f(x) = 16xsquare + 36 = 0 quadratic formula
Answer:
x= -3/2
Step-by-step explanation:
16x^2+36=0
4(4x^2+9)=0
4x^2+9=0
4x^2=-9
x^2= -9/4
x= -3/2
30x43x54545454545455454x82409284x098908098x8908089808x56678909876543-32131273138x1000 =
Answer:
7,036,363,636,363,635,660,000
Step-by-step explanation:
this one hert my head
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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in one hour Dele walks 8km. how long will it take her to walk 14km at the same rate
Answer:
it will take her 2 hours and 45 minutes
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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The Cougar volleyball team won 3/4 of their games this year and 2/3 of their games last year. They play 24 games each year. How many more games did they win this year than last year?
Answer:
2 games
Step-by-step explanation:
First, find how many that won this year by multiplying 24 by 3/4
24(3/4)
= 18
Find how many they won last year by multiplying 24 by 2/3
24(2/3)
= 16
Find the difference:
18 - 16
= 2
So, they won 2 more games this year than last year
Answer:
2 more games
Step-by-step explanation:
this year
24/4 = 6
6*2 = 18
last year
24/3 = 8
8*2 = 16
18-16=2
A vial holds 2 milliliters of pixie dust.
How many vials can we fill with 13 milliliters of pixie dust?
Include fractions of vials, if applicable.
Hi your answer would be 6 1/2 vials of pixie dust!
Select the correct answer.
Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount?
A.12%
B.25%
C.50%
D.60%
Answer:
b 25%
Step-by-step explanation: