Answer:
\(355 + \frac{12}{100 } \times 355 \\ = 397.6\)
Answer:
397.60
Step-by-step explanation:
Old value Increased by New value
100 12 112
355 12 x
Let the unknown new value be x.
So, we can make an expression like this.
100 ⇒ 112
355 ⇒ x
Use cross multiplication and find the value of x.
100x = 112 × 355
100x = 39760
Divide both sides by 100.
x = 397.60
Therefore,
355 increased by 12% = 397.60
6 sin =5 solve to the nearest 0.1
Step-by-step explanation:
sin Φ = 5/6 = .8333
Arcsin ( sin Φ) = arcsin (.8333)
Φ = 56.4 degrees
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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if 1/2gallon of paint cover 1/6 of a wall then how much paint is needed for the entire wall?
Answer:
0.5 gallons paints 1/6of the wall..
0.5+0.5+0.5+0.5+0.5+0.5=> 3 gallons paint the wall
let p be a point chosen uniformly at random in the interior of the unit square with vertices at (0, 0),(1, 0),(1, 1), and (0, 1). the probability that the slope of the line determined by p and the point 5 8 , 3 8 is greater than or equal to 1 2 can be written as m n , where m and n are relatively prime positive integers. find m n
The probability that the slope of the line determined by p and the point (5/8, 3/8) is greater than or equal to 1/2 is 5/8.
Let the coordinates of point p be (x,y). Then, the slope of the line determined by p and the point (5/8, 3/8) is:
(slope) = (y - 3/8)/(x - 5/8)For the slope to be greater than or equal to 1/2, we must have:
(y - 3/8)/(x - 5/8) >= 1/2Solving for y, we get:
y >= (x/2) + 7/16Graphing this inequality on the unit square, we see that the region satisfying this inequality is a trapezoid with vertices (5/8,3/8), (1,1/2), (1,1), and (3/4,1).
The area of this trapezoid is (1/2)*((5/8 - 3/4) + (1 - 5/8) + (1 - 1/2) + (3/8 - 3/16)) = 5/16.
The area of the unit square is 1, so the probability we seek is 5/16.
Hence, the answer is 5/16 written as a fraction in its simplest form, which is 5/16.
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Pls Help will mark brainlyist I put 100 points here
1. All numbered streets runs parallel to each other. Both 6th and 7th Streets are intersected by Pirate Ave. as shown:
(a) Suppose a car is traveling east on 6th Street and turns onto Pirate Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.
(b) Suppose a car is traveling southwest on Pirate Avenue and turns left onto7th Street. What is the measure of the angle created by the car's turning? Explain your answer.
(c) Suppose a car is traveling northeast on Pirate Avenue and turns right onto 7th Street. What is the measure of the angle created by the car's turning? Explain your answer.
Answer:
Below
Step-by-step explanation:
a)) the turn + the 45° angle are supplementary...they form a straight line ...which is 180 ° 180 - 45 = 135°
b) 45° due to corresponding angles of parallel lines crossed by a transversal
c) 135° alternating external angles or vertical angles or supplementary angles
explain why the statement x < 3 or > 5 cannot be written 5 < x < 3
Answer:
This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.
Step-by-step explanation:
x < 3 or x > 5
This means, x is less than 3, but greater than 5.
Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.
2x^2+2=3x help i need a full eplaination
Answer:
3 ± i sqrt( 7)
-------------------------------
4
Step-by-step explanation:
2x^2+2=3x
Subtract 3x from each side
2x^2 -3x+2=0
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
-------------------------------
2a
a =2 b = -3 c =2
-(-3) ± sqrt( (-3)^2 -4*2*2)
-------------------------------
2*2
3 ± sqrt( 9 - 16)
-------------------------------
4
3 ± sqrt( -7)
-------------------------------
4
sqrt(-7) = sqrt(-1) sqrt(7) = i sqrt(7)
3 ± i sqrt( 7)
-------------------------------
4
Identify a fraction that is greater. than five-eighths and less than thirteen-eighths. Write the fraction using three different forms.
One of the fractions is 7/8 and can be written as
decimal notation of 0.875, percent representation at 87.5%, and fraction form = 7/8 How to find the fractionInformation made available in the question includes
a fraction that is greater. than five-eighths and less than thirteen-eighthsMathematically this is written as
assuming the number is x
five-eighth = 5/8thirteen-eighths = 13/85/5 < x < 13/8
For fractions greater than five eighths but lesser than thirteen eighths is seven eighths (7/8) within the two.
This fraction can be expressed in three unique forms which include:
decimal notation of 0.875,
percent representation at 87.5%, and
fraction form = 7/8
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Complete the inequality to represent the following: 13 times a number x
is less than or equal to 200.
The value for the Inequality 13x ≤ 200 is x ≤ 15.384.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
13 times a number x is less than or equal to 200.
Now, Writing the Inequality Mathematically
13x ≤ 200
x ≤ 200 / 13
x ≤ 15.384
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What are all the factors of 54?
To find the factors of a number, we can look for factors to divide it by subsequently.
It is easier to start with lower factors.
Let's start by "2".
Since "54" is even, it is divisable by "2":
\(\frac{54}{2}=27\)So "2" is one of the factors.
Now, we have got 27. It is not even anymore, but it is divisable by "3":
\(\frac{27}{3}=9\)So "3" is another factor.
Now we have got "9" and it is also divisable by "3":
\(\frac{9}{3}=3\)So there is another "3" factor.
And since we have got now another "3", we know it is divisable by "3":
\(\frac{3}{3}=1\)Now we have got to "1", so we found all the prime factors:
\(54=2\cdot3\cdot3\cdot3\)Now,, we need to combine them to find all possible combinations.
We will start from low to high.
"1" is always a factor.
There is "2" there, so it is also a factor.
Then we have "3" as another factor.
There is no need to combine "1" with another factor, so we will start b combining 2 and 3:
\(2\cdot3=6\)So, "6" is another factor.
We can combine 3 with 3:
\(3\cdot3=9\)"9" is another factor.
Now we start combining three of them:
\(\begin{gathered} 2\cdot3\cdot3=6\cdot3=18 \\ 3\cdot3\cdot3=9\cdot3=27 \end{gathered}\)So, "18" and "27" are factors.
And now we combine 4 of them, but this is get us back to "54" which is the last factor.
So, the factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
Answer:
Step-by-step explanation:
1 × 54 = 54, (1, 54) is a pair factor of 54.
2 × 27 = 54, (2, 27) is a pair factor of 54
3 × 18 = 54, (3, 18) is a pair factor of 54
6 × 9 = 54, (6, 9) is a pair factor of 54
Therefore, the positive pair factors are (1, 54), (2, 27),(3, 18) and (6, 9).
If 1=3. 2=3. 3=5. 4=4. 5=4. Then, 6=?
Question: If 1=3. 2=3. 3=5. 4=4. 5=4. Then, 6=?
Answer: Like wise, If 1=3.2=3 3=5 4=4 5=4 Than 6=3
Because of six. Six split in two is 3 therefore 6=3
More: 7=5, 8=5, 9=4, 10=3
Hope this helps~~~
the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10
Step-by-step explanation:
Answer:
There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:
A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.
A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.
A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.
A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.
There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.
please help!! i need someone to write me an equation for this please!
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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_+89=(6+5) what is the answer
Answer:
-78
Step-by-step explanation:
_+89 = 11 (6+5 is 11), now, lets say the blank is x
x + 89 = 11 (subtract 89)
x = -78
Use the information given below to find tan(a + B)
cos a = 3/5, with a in quadrant IV
tan B = 4/3, with B in quadrant I I I
Give the exact answer, not a decimal approximation.
tan(a + B) = ?
let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said
\(\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill\)
\(\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}\)
\(3x {}^{2} + 3 x\)
3х^2 + 3x
Answer:
3x ( x + 1 )
Step-by-step explanation:
3x^2 + 3x
factor out x
x ( 3x + 3)
factor out 3
3x ( x + 1)
3x * ( x + 1 )
Emmanuel brews a full pot of coffee every morning. The pot makes 12 cups
of coffee in 4 minutes. How many cups of coffee does it make per minute?
O 3 minutes/cup
O 333 cups/minute
О O
3 cups/minute
O .333 minutes/cup
do not count the
individual
oranges.
count them as
groups.
Answer:
A. 5
B. 100
C. 300
Create a scenario that leads to an inequality of the form ax + b > c
Answer:
Johnny wants to buy a game but he doesn't have enough money. He needs to have at most $60 to buy his game. He has $5 in his piggy bank and gets $11 for every hour for working. Write an inequality where x represents his hours.
11x + 5 ≤ 60
Not that good but its better than nothing.
Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late
Complete question :
Formulate the hypothesis that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.)
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
(c) Calculate the test statistic. (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
Answers:
H0: μ1 − μ2 = 0
H1: μ1 − μ2 ≠ 0
Test statistic = - 0.314
Pvalue = 0.7550
Step-by-step explanation:
Mean, xbar = Σx / n
Standard deviation, s = √(Σ(x-xbar) / n-1)
Company A :
Sample size, n = 25
Mean, x1 = 50.6
Standard deviation, s1 = 26.57
Company B :
Mean, x2 = 52.82
Sample size, n2 = 20
Standard deviation, s2 = 20.02
Mean, xbar = Σx / n
Standard deviation, s = √(Σ(x-xbar) / n-1)
Company A :
Sample size, n = 25
Mean, x1 = 50.6
Standard deviation, s1 = 26.57
Company B :
Mean, x2 = 52.85
Sample size, n2 = 20
Standard deviation, s2 = 20.02
The hypothesis :
H0: μ1 − μ2 = 0
H1: μ1 − μ2 ≠ 0
The test statistic :
Test statistic:
t = (x1 - x2)/[√(s²p(1/n1 + 1/n2 )]
Pooled variance = s²p
s²p = ((n1-1)*s1² + (n2-1)*s2² )/(n1+n2-2)
s²p = (24*26.57^2) + (19*20.02^2) / 43
s²p = 571. 125
√(s²p(1/n1 + 1/n2) ;
√572.125(1/25 + 1/20) = 7.169
x1 - x2 ; 50.6 - 52.85 = - 2.25
Test statistic = - 2.25 / 7.169
Test statistic = - 0.314
Using the Pvalue from t score calculator :
Pvalue(-0.314, 43) = 0.755
Pvalue > α ; We fail to reject the Null
4. Consider the following information about a group of 143 FCC students:GenderRight-handedLeft-handedTotalFemale631578Male511465Total11429143If one person is randomly selected from the group, what is the probability that this student is female or left-handed?
First, let find the probability that is a female student.
The total of students is 143.
The total of female students is 78.
The P(female) =78/143 = 6/11
Now, let's find the probability that is left-handed.
The total of left-handed students is 29.
The P(left-handed) = 29/143
Now, the probability that the student is female or left-handed.
The "or" rule of probability tells us that when we have an "or", its means that we add the probabilities.
So P(female or left-handed) = P(female) + P(left-handed)
Replace the values.
P(female or left-handed) = 6/11 + 29/143 -174/1573 = 0.63
A picture frame has a perimeter of 100 cm. It’s width is 4 cm less than twice its length. What is the width of the picture
frame?
18 cm
32 cm
48 cm
50 cm
Find the area of this triangle.
Answer:
6\(cm^{2}\)
Step-by-step explanation:
0.5bh=0.5*3*4=6
Can you answer them all
Just tell me the questions in the comments and I'll answer, but I would love brainliest.
Here's how to make ramen though.
INGREDIENTS:
2 large eggs
1 tablespoon olive oil
4 cloves garlic, minced
1 tablespoon freshly grated ginger
4 cups reduced sodium chicken broth
4 ounces shiitake mushrooms
1 tablespoon reduced sodium soy sauce
3 (5.6-ounce) packages refrigerated Yaki-Soba, seasoning sauce packets discarded*
3 cups baby spinach
8 slices Narutomaki, optional*
1 carrot, grated
2 tablespoons chopped chives
DIRECTIONS:
Place eggs in a large saucepan and cover with cold water by 1 inch. Bring to a boil and cook for 1 minute. Cover eggs with a tight-fitting lid and remove from heat; set aside for 8-10 minutes. Drain well and let cool before peeling and halving.
Heat olive oil in a large stockpot or Dutch oven over medium heat. Add garlic and ginger, and cook, stirring frequently, until fragrant, about 1-2 minutes.
Whisk in chicken broth, mushrooms, soy sauce and 3 cups water.
Bring to a boil; reduce heat and simmer until mushrooms have softened, about 10 minutes. Stir in Yaki-Soba until loosened and cooked through, about 2-3 minutes.
Stir in spinach, Narutomaki, carrot and chives until the spinach begins to wilt, about 2 minutes.
Serve immediately, garnished with eggs.
F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
I’ll give you 15 points if you know the answers to this question
It would be B)no.
Hope This Helps!
Help please look at the picture
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=8\\ r=12 \end{cases}\implies V=\cfrac{\pi (12)^2 (8)}{3} \\\\\\ V=384\pi \implies \stackrel{using~\pi =3.14 }{V=1206}~cm^3\)
To solve a(b + c) = d for a in 1 step:
Answer:
a = \(\frac{d}{b+c}\)
Step-by-step explanation:
a(b + c) = d
isolate a by dividing both sides by b + c
a = \(\frac{d}{b+c}\)
Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joyner" is in the data set. Using a linear search, what is the minimum number of names we might have to check?
Answer:
1
Step-by-step explanation:
David Joyner might be the first name, so you may only have to check 1 name.