Answer:
D)
Step-by-step explanation:
to solve this problem we need to know slope and one point
parallell lines have the same slope
we know the slope is 3/4 and the point is (-4,10)
plug the known data into the slope-intercept form of a line: y = mx + b
10 = 3/4(-4) + b
10 = -3 + b
b = 13
answer: y = 3/4x + 13
Find the length of an arc of a circle with a 8-cm radius associated with a central angle of 240 degrees. Give your answer in exact and approximate form to the nearest hundredth.
Answer:
l = 1920 cm
Step-by-step explanation:
Given that,
The radius of circle, r = 8 cm
The central angle is 240 degrees
We need to find the length of the arc. We know that,
\(l=r\theta\)
Where
l is the length of the arc
So,
\(l=8\times 240\)
\(\implies l=1920\ cm\)
so, the length of the arc is equal to 1920 cm.
simplify:
\(\frac{sin^{2}(\frac{\pi }{2}-x) }{csc^{2}x-1 }\)
The value οf the expressiοn is \(-cot^2x\).
What is trigοnοmetry?Trigοnοmetry deals in a right angled triangle by giving the ratiο οf variοus sides οf the right angled triangle.
What is equation?An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.
\(\frac{sin^2(\frac{\pi }{2}-x) }{cos^2-1} \\= \frac{cos^2x}{cos^2-1} \\=\frac{cos^2x}{cos^2x-sin^2x-cos^2x} \\=\frac{cos^2x}{-sin^2x} =-cot^2x\)
Hence, the value of the expression is \(-cot^2x\).
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This time the florist is making bouquets with daisies and carnations. She has 35 daisies and 42 carnations. She wants to put an equal amount of each kind of flower in the bouquets. What is the greatest number of bouquets the florist can make
Answer:
7 flowers
Step-by-step explanation:divide 7 from each and you'll gat your answer
Write an integer for the situation: a loss of 14 pounds
Answer:
-14
Step-by-step explanation:
A gain is usually a positive number, and a loss is usually a negative number.
Answer: -14
Answer:
-14
Step-by-step explanation:
this is a negative number
A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Find the margin of error for the 94% confidence interval. (Assume that the population of students is large relative to the sample size. Round your solution to 4 decimal places)
Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean is:
\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
The margin of error of this interval is:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
The critical value of z for 94% confidence level is, z = 1.88.
Compute the margin of error for the 94% confidence interval as follows:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
\(=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154\)
Thus, the margin of error for the 94% confidence interval is 0.6154.
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
one gallon of gasoline in Buffalo New York cost $2.29 and Toronado Canada one liter of gasoline cost 91 cents there are 3.8 liters in one gallon how much does one gallon of gas cost in tornado round your answer to the nearest cent is the cost of gas crater in Buffalo or tonado how much GREATER
marian has a savings account with $21,390 if she earns $4,100 per month, what is the maximum she can spend on a house?
The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Step-by-step explanation:
In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.
We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.
Solve the problem:Marian earns $4,100.00 per month
Suppose Marian wants to save for x months, then the maximum amount that she can spend on the house is:
4100 * x + 21390
Draw the conclusion:The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Hope this helps!
Compute the probability of X successes using the binomial formula. Round your answers to three decimal places as needed. n=8, p=0.39, X=3
The probability of getting exactly 3 successes in 8 trials, with a success probability of 0.39, is 0.019 or 1.9%.
How is Probability calculated?The chance of X successes in n separate trials, where each trial has a probability of success of p, is calculated using the binomial formula. The likelihood of 3 successes in 8 tries, with a success probability of 0.39, may be calculated using this method. This is the binomial formula:
P(X = k) is equal to (n pick k) * p * k * (1-p) (n-k)
Where (n pick k) denotes the variety of ways to select k successes from n trials, n is the number of trials, k is the number of successes, p is the probability of success, and so on.
We can enter the values provided in the formula using the following:
P(X = 3) = (8 pick 3) (8 choose 3) * (0.39)^3 * (1-0.39)^(8-3) (8-3)
P(X = 3) = (8! / (3! * (8-3)!)) * (0.39)^3 * (0.61)^5
P(X = 3) = (56) * (0.039304) * (0.088848) (0.088848)
P(X = 3) = 0.019
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All help is needed. Thanks :)
Answer:
Step-by-step explanation:
i
I NEED HELP 30 POINT!!
Answer:
35
Step-by-step explanation:
You can easily graph this in desmos for a visual understanding.
The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.
to divide fractions invert the second fraction and multiply
True
Flase
Answer:
TrueStep-by-step explanation:
Example of dividing fraction:Givens: 1/2 and 3/61/2 ÷ 3/6= 1/2 × 6/3= 6/6= 1\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)
A dealership sells cars and motorcycles there are a total of 140 vehicles on the lot and they have a total of 370 wheels how many cars and motorcycles are at the dealership?
Answer:
Below in bold.
Step-by-step explanation:
As we all know a car has 4 wheels and a motorcycle has 2 so we can write 2 equations:
x + y = 140 where x = number of cars and y = number of cycles.
4x + 2y = 370.............A
Multiply first equation by 2:-
2x + 2y = 280.............B
Subtract equation B from A:
2x = 90
x = 45.
So there are 45 cars and 140 - 45 = 95 motorcycles.
what is 6(3+4) in distributive property
Answer:
There is no variable so it would just be 42
Step-by-step explanation:
3+4*6
Answer:
so the answer is 42
Step-by-step explanation:
(3+4) = 7 x 6= 42
distributive property is multiplication over addition
In 2019, the minimum wage in Arizona is $11 per hour. The total cost of renting a one-bedroom apartment in one city is $1410 per month. Without considering any other living expenses or deductions, could a person working 40 hours a week at the minimum wage cover the $1410 per month?
1.Yes, they have $495.20 more than they need.
2.No, the total earned is $495.20.
3.Yes, they have $1905.20 more than they need.
4.No, $1905.20 is not enough.
Answer:
1
Step-by-step explanation:
40 x 11 = 440
440 x 4 = 1760
Drag each statement to show whether it is true, based on
the graph
Answer:
see attached
Step-by-step explanation:
The independent variable is the one displayed on the horizontal axis: pounds. The dependent variable is the one shown on the vertical axis: cost.
Then the ordered pair shown represents ...
(pound, cost) = (0.65, 2.20)
That is, the cost of 0.65 pounds is $2.20. The cost per pound is found by dividing cost by pounds:
price per pound = $2.20/0.65 lb
__
There is no information shown regarding the weight or cost of a bag of almonds.
The categorization is shown in the attachment.
unit 8 homework 4 anwser 10
Answer:what is this
Step-by-step explanation:
Lemar is completing a proof of the law of sines. His first step is shown.
The first step shows that h = zsin(X). Next, we can do the same with angle Z to get:
\(sin(Z)=\frac{h}{x}\Rightarrow h=xsin(Z)\)now that we have that h = zsin(X) and h = xsin(Z), we can equate both expressions to get:
\(\begin{gathered} zsin(X)=xsin(Z) \\ \Rightarrow\frac{z}{sin(Z)}=\frac{x}{sin(X)} \end{gathered}\)One number is six more than the other. Their sum is 42. Find the numbers
Answer:
18 & 24
Step-by-step explanation:
18+24=42
24 is six more than 18
Can someone please help me?
I will give brainliest
We can find the QS side that is missing by using the proportions (C) QS/SR = PO/OR.
What do we mean by proportions?A proportion is an equation that equalizes two ratios.You could, for instance, write the ratio as follows: 1: 3 in the case of 1 boy and 3 girls (for every one boy there are 3 girls)The proportion formula is used to determine whether two ratios or fractions are equal.We can find the missing value by dividing the given values.The proportion formula can also be written as a: B::C:D = a/b = c/d, where a and d are the extreme terms and b and c are the mean terms.So, a proportion that is used to determine the QS's missing side
(A) QS/OR = PO/SR
Not possible, and the bases in the denominator have the wrong base positions.(B) PR/PO = QS/QR
Not possible because the order of the lines does not allow for the measurement of line length. QS/SR = PO/OR.(C) QS/SR = PO/OR
Given that the sides and base are both perfectly positioned within the fractions, this ratio can be used to determine the length of line QS.Therefore, we can find the QS side that is missing by using the proportions (C) QS/SR = PO/OR.
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Drag each coordinate pair to the correct location on the figure. Not all coordinate pairs will be used.
The ratios of the line segments are given below.
Determine the coordinates of point B and point D.
(1,2) (-4,6) (5,0)
(-2,-6)
AB: BC = 2:1
AC: CD H 3:2
(-1,0)
(-6,10)
(-1,-4)
B
(-3,4)
The coordinate pairs to the correct location are:
B: (-4, 6)
D: (-1, 0)
What is coordinate pair?A coordinate pair, also known as an ordered pair, is a pair of numbers used to locate a point on a two-dimensional plane. The two numbers in the pair represent the horizontal and vertical distances from the origin (0, 0) on the plane, and are written in the form (x, y), where x is the horizontal coordinate and y is the vertical coordinate.
AC: Δx = -3 - (-6) = 3
Δy = 10 - 4 = 6
AB:BC = 2:1
B: x = -6 + (2/3 × 3) = -4
y = 10 - (2/3 × 6) = 6
so, B: (-4, 6)
AC:CD = 3:2
AC: Δx = 3, Δy = 6
So, CD: Δx = 3 × 2/3 = 2
Δy = 6 × 2/3 = 4
D: x = -3 + 2 = - 1
y = 4 - 4 = 0
Thus, D: (-1, 0).
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A restaurant offers two types of pizza
dough: sourdough and whole wheat.
The chefs can make three types of
pizza crust: thin, thick, or deep dish.
What is the probability that the next
customer will order a whole wheat
pizza with thick crust?
Answer:
1/6 or 16.6%
Step-by-step explanation:
There are 6 possible combinations, one of which being whole wheat with thick crust. Therefore there is a 1/6 chance.
Help!
Find the exact value of tan A in simplest radical form.
Which of the following could be true if x < 45 A. x = 44 B. x = 45 C. x = 46 D. x > 45
Answer:
A
Step-by-step explanation:
< means "less than". The number must be smaller than 45 to be true.
Answer:
X=44
Step-by-step explanation:
Hops this helps
Please find the area of the unshaded portion in the diagram above
Answer:
148 cm²Step-by-step explanation:
find the two areas and remove the shaded one
18 * 10 - 8 * 4 (remember pemdas)
180 - 32 =
148 cm²
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
How do you find the length of a missing side when you have 2 similar angles?
Consider the sequence whose first five terms are shown below.
8, 6, 4, 2, 0
Which function, with the domain of n = {1, 2, 3, 4, 5} defines this sequence?
A. f (n) = -2n + 10
B. f (n) = n -2
C. f (n) = -10n + 2
D. f (n) = -n + 9
Answer:
f (n) = -2n + 10
Step-by-step explanation:
I completed the sample work
The required function is \(f(n)=-2n+10\). So, the correct option is A.
Given:
The first five terms are \(8, 6, 4, 2, 0\). The domain of the function is \(n=\{1,2,3,4,5\}\).To find:
The function that defines the given sequence.
Explanation:
The given sequence is an arithmetic sequence because the difference between the consecutive terms is constant.
First-term \(= 8\)
The common difference is:
\(6-8=-2\)
The function for \(n\)th term is:
\(f(n)=a+(n-1)d\)
Where \(a\) is the first term and \(d\) is a common difference.
Substitute \(a=,d=-2\).
\(f(n)=8+(n-1)(-2)\)
\(f(n)=8-2n+2\)
\(f(n)=-2n+10\)
Therefore, the correct option is A.
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Morgan like and newton are 24 miles apart on a map the two cities are 3 inches apart what is the map scale
Answer:
8 mi per in.
Step-by-step explanation:
Divide 24 mi by 3 in. to get base number of 1 in. per x mi
24/3 = 8
8 mi per in.
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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