Step-by-step explanation:
This is a law of sines problem.
Law of sines states that
A / sin (a) = B(sin b) = C (sin c)
5 / sin (60) = 9 / sin (x)
Simplifying this equation gives us sin (x) = (9 * sin (60)) / 5. Now we take the arc sin of both sides, to get that x = arc sin ((9 * sin (60)) / 5). Plugging this into a calculator gives us..... no solutions
I think thats the right solution as I plugged it into a law of sines calculator as well.
What is the solution for 6x=24?
Answer:
x = 4
Step-by-step explanation:
6 x 4 = 24
pls mark brainliest:))
Answer:
=4
Step-by-step explanation:
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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The perimeter of a triangular playground is 55 feet. The lengths of two sides are 9 feet and 26 feet. How long is the third side?
Answer:
20 feet
Step-by-step explanation:
9+26=35
55-35=20
The third side is 20 feet
The following figures are not drawn to scale but AB and CD are straight lines. Find x
Answer:
x = 45
Step-by-step explanation:
The sum of the angles is 360 degrees
90+x+x+ 4x = 360
Combine like terms
90 +6x = 360
Subtract 90 from each side
6x = 360-90
6x = 270
Divide by 6
6x/6 = 270/6
x = 45
Answer:
x = 45°
Step-by-step explanation:
We know that sum of all angle is 360 ° .
∠KL + ∠LM + ∠MN + ∠KN = 360°
90 ° + x + x + 4x = 360°combine like terms
90° + 6 x = 360°subtract 90° from both side
90° - 90° + 6x = 360° - 90°simplify
6x = 270°divide both side by 6
6x / 6 = 270°/6calculate
x = 45°Sunn Company manufactures a single product that sells for $120 per unit and whose variable costs are $per unitThe company's annual fixed costs are $529.200
Sunn Comp sells a product for $120 per unit, with a variable cost of $84 per unit, according to the information provided.
As a result, the company generates a contribution margin of $36 per unit ($120 - $84).
What is unit?
A unit is a recognized quantity that is used in measuring.
For instance, when you say, "I traveled 50 meters," you are expressing the distance in numbers, i.e., 50, and the unit is meter.
5 kg of veggies; the unit used here is kg (kilogram).
Sunn Comp is a business that focuses on producing just one kind of goods.
The variable cost of this good is $84 per unit, but it sells for $120.
So, the company's units each have a contribution margin of $36.
In order for the business to turn a profit and pay its fixed annual costs of $529200, it must sell a particular number of units.
Divide the fixed costs by the contribution margin per unit to find the break-even threshold.
To break even and pay its fixed costs, Sunn Comp needs to sell at least units of its product.
For Sunn Comp, being aware of the break-even point is crucial.
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The complete question is:
Sunn Company manufactures a single product that sells for $120 per unit and whose variable costs are $84 per unit. The company's annual fixed costs are $529,200. (1) Prepare a contribution margin income statement at the break-even point. (2) If the company's fixed costs increase by $132,000, what amount of sales (in dollars) is needed to break even? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Prepare a contribution margin income statement at the break-even point. SUNN COMPANY Contribution Margin Income Statement (at Break-Even) Percentage Amount of sales Required 1 Required 2 Prepare a contribution margin income statement at the break-even point. SUNN COMPANY Contribution Margin Income Statement (at Break-Even) Percentage Amount of sales Contribution margin Fixed costs Income Sales < Required 1 Required 2 > Variable costs Complete this question by entering your answers in the tabs below. Required 1 Required 2 If the company's fixed costs increase by $132,000, what amount of sales (in dollars) is needed to break even? Break-Even Point in Dollars Numerator: 1 Denominator: = Break-Even Point in Dollars / Break-even point in dollars S < Required 1 Required 2
Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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the null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero T/F
True. The null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero.
Therefore, the null hypothesis always states that the mean difference between the matched or paired samples is zero.Sign Test for Comparing Two Matched SamplesThe sign test is used to compare two related or matched samples to determine if they are significantly different from one another. It is based on the idea that the difference between two related samples should be zero. The null hypothesis of the sign test states that the mean difference between the two matched or paired samples is zero, meaning that there is no difference between the two samples.
The alternative hypothesis is that the mean difference between the two samples is not zero, indicating that there is a significant difference between the two samples. The sign test is used to determine if the two samples are significantly different from one another.
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Write the first four terms of the sequence whose general term is given.
an = 3n+2
Answer:
5,8,11,14.
Step-by-step explanation:
The general term of the sequence is given by :
\(a_n=3n+2\)
We need to find the first four terms of the sequence.
Put n = 1
\(a_1=3(1)+2=5\)
Put n = 2
\(a_2=3(2)+2=8\)
Pu n = 3
\(a_3=3(3)+2=11\)
Put n = 4
\(a_4=3(4)+2=14\)
Hence, the first four terms of the sequence are 5,8,11,14.
Ivan rocks 2 1/8 miles to his aunts house he has already walked 3/4 miles how much further does he have to go explain how you solved
school children shared oranges as follows .Jonas got 1/3 of the total and the remaining were shared between Mary and Rejoice in the ratio 3:2. if Rejoice got 24 oranges How many did Jonas get
The appropriate choice of ratio will be given by
Jonas got 30 oranges
What is ratio?
Ratio determines the comparision among many quantities with the same unit.
Here,
Let Mary got 3x oranges and Rejoice got 2x oranges
By the Problem,
\(2x = 24\)
\(x = \frac{24}{2}\)
\(x = 12\)
Number of oranges Mary got = \(12 \times 3\)
= \(36\)
Number of oranges shared between Mary and Rejoice = \(24 + 36\)
= \(60\)
Fraction of oranges shared between Mary and Rejoice = \(1 - \frac{1}{3}\)
= \(\frac{3 - 1}{3}\)
= \(\frac{2}{3}\)
Total number of oranges = \(\frac{60}{\frac{2}{3} }\)
= \(60 \times \frac{3}{2}\)
= \(90\)
Number of oranges Jonas got = \(90 \times \frac{1}{3}\)
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x>10 which answer would work as a solution to this inequality
Answer:
x>10= x11
Step-by-step explanation:
x>10 and 10 or above could be the answer
find the measure of
PLEASE HELP ASAPP !!!!!!!!!!!!!!!!!!!!!
The value of m for the quadratic equation, 2x² - 28x + 7m = 0 to have one solution is 14.
How to solve quadratic equation?She said the quadratic equation 2x² - 28x + 7m = 0 has only one solution for some value of m.
Therefore, the exact value of m which give the quadratic equation exactly one solution can be calculated as follows:
Therefore, a quadratic equation has one solution when the discriminant is zero.
Hence,
b² = 4ac
a = 2
b = -28
c = 7m
Therefore,
(-28)² = 4 (2)(7m)
784 = 56m
divide both sides by 56
m = 784 / 56
m = 14
Therefore,
m = 14
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When Louis Brandeis graduated from Harvard Law School, he immediately established a
reputation in Boston as an attorney who would accept cases
Later appointed
How many glasses can be filled from a 6-pint pitcher if each glass holds one seventh of a pint?
Answer:
\( = 6 \div \frac{1}{7} \\ = 6 \times \frac{7}{1} \\ = 42 \: glasses\)
Answer:
same thing as the person show u
Step-by-step explanation:
i do flvs ok du and that is the right anser
3. CHOCOLATE CHIP BROWNIE 1. Find the conversion factor to scale the Brownie recipe below for 4 servings and 80 servings using the formula: Desired yield - Original yield = Conversion Factor 2. Multiply each ingredient by the conversion factor. 3. When required, change ingredient measurements to use the best equivalent. For example, change 3 teaspoons to 1 tablespoon. 4. Ensure all new measurements are in whole numbers or fractions. INGREDIENT YIELD = 8 SERVINGS YIELD = 4 SERVINGS Conversion Factor = YIELD = 80 SERVINGS Conversion Factor = 1 1/2 Cup 1 tsp 1/4 tsp 1/2 tsp 1/8 tsp Flour Baking Powder Salt Cinnamon Nutmeg Egg Sugar 1 1/2 Cup
1. Conversion factor (k)=desired yield ÷ original yield
4 servings (k₄)
\(k_4=\frac{4}{8}=\frac{1}{2}\)80 servings (k₈₀)
\(k_{80}=\frac{80}{8}=10\)2. Once you have the convertion factors you have to multiply each ingredient by the corresponding k to get the correct amounts for the desired servings.
I'll start with all ingredients for 4 servings:
k₄=1/2
Flour
1 1/2 cups= 3/2 cups
\(\frac{3}{2}\cdot k_4=\frac{3}{2}\cdot\frac{1}{2}=\frac{3}{4}\)For 4 servings you need 3/4 cups of flour
Baking powder
1 tbs * k₄=1 * 1/2= 1/2 tbs
For 4 servings you need 1/2 tbs baking powder
Salt
1/4tsp*k₄=1/4*1/2=1/8 tsp salt
Cinnamon
1/2 tsp * k₄= 1/2*1/2= 1/4 tsp cinnamon
Nutmeg
1/8 tst * k₄= 1/8*1/2= 1/16 tsp nutmeg
Egg
1 egg * k₄= 1 * 1/2= 1/2 Egg
Sugar
1/2cup *k₄= 1/2*1/2= 1/4 cup sugar
Buttermilk
1/2cup * k₄= 1/2*1/2= 1/4cup buttermilk
Vegetable Oil
1/4cup * k₄= 1/4*1/2= 1/8 cup vegetable oil
Vanilla
1/2tsp * k₄= 1/2*1/2= 1/4 tsp vanilla
Chocolate chips
3/4 cup * k₄= 3/4*1/2= 3/8 cup chocolate chips
I also have to show my work so pls help me.
Answer:
100=15.50p-7.00
6 people
(p can be any variable)
Step-by-step explanation:
100 is the amount of money Ms. Hernandez will spend, 7 is the amount she will have to spend on parking, and 15.50 is the cost per person to go to the zoo.
How to solve the equation
100=15.50p-7 You would first have to isolate the variable, add 7 to both sides107=15.50p You would then divide each side by 15.50 to completely isolate p6.9032258=p Since you cannot have a fraction of a person, the total amount of people that can go to the zoo, including Ms. Hernandez is 6
solve this 2×7÷5×3+27-0
what is the equivalent to five and two tenths
Answer:
5 2/10 or 520%
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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You participate in a dance-a-thon fundraiser. After your parents pledge $15.50 and your neighbor pledges $8.75, you have $66.55. Write an equation to find how much money you had before your parents and neighbor pledged.
Answer:
15.50p+8.75n=66.55
Step-by-step explanation:
p=parents
n = neighbors
A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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Yoshi is driving across the United States. If Yoshi's map is 20 inches across, and the United States is 3,000 miles across, what is the scale of the map?
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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What questions do you still have about what we’ve learned
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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About 217,000 high school students took the AP Statistics exam in 2017. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). For one of the problems, a random sample of 30 student papers yielded a mean score of x =1.267 and a standard deviation of 1.230. a. Find and interpret the standard error of the mean. b. Construct and interpret a 90% confidence interval to estimate the true mean score on this question.
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).
Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.
Here,
\(\bar x\) =1.267, s=1.23, n=30
The standard error is Se= 1.23/√30
= 0.2246
Item a:
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
Item b:
Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.
\(\bar x\pm tS_c\)
\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479
\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861
Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
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solve the equation by completing the square (x+2)(x-3)=(x-3)
Please help i need it quickly too please