Answer:
x = -123/14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
250 = 4(1 - 7x)
Step 2: Solve for x
Divide both sides by 4: 125/2 = 1 - 7xSubtract 1 on both sides: 123/2 = -7xDivide -7 on both sides: -123/14 = xRewrite: x = -123/14Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 250 = 4(1 - 7(-123/14))(Parenthesis) Multiply: 250 = 4(1 + 123/2)(Parenthesis) Add: 250 = 4(125/2)Multiply: 250 = 250Here we see that 250 does indeed equal 250.
∴ x = -123/14 is the solution to the equation.
Write each fraction as a decimal
3 15/44
What is the period of y= sec X?
Given:
The given function is
[tex]y=\sec x[/tex]
To find:
The period of given function.
Solution:
General sec function is defined as
[tex]y=A\sec (Bx+C)+D[/tex]
Where, A is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is vertical shift.
We have,
[tex]y=\sec x[/tex]
Here, B=1. So,
[tex]Period=\dfrac{2\pi}{1}[/tex]
[tex]Period=2\pi[/tex]
Therefore, the period of given function is 2π.
The value of period of function y = sec x is, 2π.
The given function is,
y = sec x
Since, We know that,
General form of equation for sec x is,
y = A sec (Bx + C) + D
Where, A is amplitude, 2π/B is period and D is vertical shift.
Here, function is,
y = sec x
Hence, B = 1,
So, Period = 2π/B
= 2π/1
= 2π
Thus, The value of period of function y = sec x is, 2π.
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I will give brainiest to whoever answers correctly !!
Replace x with 10.
The exponent is now 0.1(10) = 1
Now you have 5000(1.181)^1
1.181^1 = 1.181
So now 5000 x 1.181 = 5,905
The answer is 5,905
Find the Volume of the Grain Silo shown below that has a diameter of 20ft and a height of 40ft. Round your answer to the nearest hundredth . The top shape is a hemisphere and the bottom is a cylinder .
9514 1404 393
Answer:
14,660.77 ft^3
Step-by-step explanation:
The volume of a hemisphere-topped cylinder is given by the formula ...
V = πr^2(2/3r +h)
where r is the radius and h is the height of the cylindrical section. Of course, the radius is half the diameter, so this silo has a volume of ...
V = π(10 ft)^2(20/3 +40 ft) = 14,660.77 ft^3
__
Additional comment
The volume is 14,653.33 ft^3 if you use 3.14 for π.
Answer:14,660,77ft
Step-by-step explanation:
The graph of the function f(x) = (x + 2)(x - 4) is shown.
Answer:
What is the y-intercept of the quadratic function
f(x) = (x - 6)(x - 2)?
(0,12)
Bananas sell for $0.44 pounds. How much will 6 pounds of bananas cost.
Answer:
$2.64
Step-by-step explanation:
0.44 times 6.
Answer:
2.64
Step-by-step explanation:
6*0.44=2.64
i hope it will help you
How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2
Answer:
First always the positive is greater than the negative
Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2
1/2=0.5
21/2=10.5
11/2=5.5
Then from lowest to greatest
-1/2,1/2,2,11/2,21/2
I hope you understand
There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?
Answer: 60$
Step-by-step explanation:
because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60
A company is allowed to interview candidates until two qualified candidates are found. But budget constraints dictate that no more than 10 candidates can be interviewed. List the sample space.
Answer:
Kindly check attached picture for sample space design
45 ways
Step-by-step explanation:
Number of qualified candidates to be chosen = 2
Number of candidates to be interviewed = 10
Combination formula :
nCr = n! / (n-r)! r!
10C2 = 10! ÷ (10 - 2)!2!
10C2 = 10*9 / 2 * 1
10C2 = 90/2
10C2 = 45 different samples
Our sample space will contain 45 different samples
Please help fast!!!!
Answer:
BGHjf, it skf skoad 78, then mutli 0867, then you'll get your answer!! 657.
Step-by-step explanation:
Is 3/9 more less or equal to 5/8
Answer:
less
Step-by-step explanation:
Answer:
3/9 is less that 5/8
Step-by-step explanation:
To answer this question we can simply infer which is greater by using simple knowledge.
We know that 1/9 and 1/8 are both relatively small parts of a whole.
Now we know that 1/8 is greater than 1/9
If we think about it 5/8 is bound to be greater than 3/9 because the parts of a whole when you are dealing with 8ths are greater than when you are dealing with 9ths and since there are more 8ths than 9ths in the comparison as in (3 < 9) then we should already know that:
5/8 is greater than 3/9
Sam's Fruit Cellar earns a $0.40 profit for each apple that it sells and a $0.40 profit for each banana that it sells. Which expression(s) show(s) Sam's total
profits from selling apples (a) and bananas (b)? Select all that apply.
*00.40(ab)
*0 0.80(a + b)
*0.80(ab)
*0.40a+ 0.40b
*0.40(a + b)
*0.40+ a +0.40 + b
Answer:
0.40a+ 0.40b 0.40(a + b)Step-by-step explanation:
If a apples sold then profit is:
0.40aIf b bananas sold then profit is:
0.40bTotal profit is the sum of the profits:
0.40a + 0.40bCorrect options are D and E ( or 4 and 5)
I will give brainiest to whoever answers correctly !!
Answer:
14.0
Step-by-step explanation:
14.096 rounded to the nearest tenth
HELP IOLL MARK U BRAINLIEST I SWEAR
Answer:
You aren't posting pictures
Step-by-step explanation:
Last year, a stereo system sold for $450. This year, it sold for $382.50. What is the percent of change from last year to this year?
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+
X
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Answer:
15% decrease
382.50-450 divided by 450 times 100
what is the best approximation for the circumference of a circle with a daimeter of 300 ft use 3.14 approximation pi
Answer: 942
Step-by-step explanation:
so your d is 300 so your r = 300/2= 150
a=3.14*r*r= 3.14*150*150= 70650
c= 3.14*d= 3.14*300= 942
-4b + 8c + 12 - 8b - 2c + 6. what is the value of the expression when b=2 and c= -3? Enter your answer.
Answer:
The answer is negative 24.
Step-by-step explanation:
(−4)(2)+(8)(−3)+12−(8)(2)+(−2)(−3)+6
=−24
I hope this helps you with your question
Use the theorem part 1
Answer:
(a)
Step-by-step explanation:
The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.
Answer:
a) Base Angle TheoremStep-by-step explanation:
The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
Can someone please explain how I apply SOHCAHTOA properly to this?
Answer:
e
Step-by-step explanation:
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
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Step-by-step explanation:
Find the missing length.
C =
✓ [?]
C
7
9
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:
c = √130
Step-by-step explanation:
Using Pythagorean theorem, c² = a² + b².
Where,
a = 9
b = 7
c = hypotenuse = ??
Thus:
c² = 9² + 7²
c² = 130
c = √130
The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
A. How many different lunches are possible.
B. What is the probability that the lunch special of the day is ham on rye with tea?
Please Help With Both Answers - I Will Give BRAINLIEST, and 50 points.
Total combinations are found by multiplying the quantities of each part by each other.
3 kinds of meat x 2 types of bread x 3 types of drinks
A) total combinations = 3 x 2 x 3 = 18
B) there are 18 different combinations, ham in rye with tea is 1 combination.
The probability would be 1/18
Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7
(a) Relative to their peers who also took the tests, who performed better on his test? Explain.
(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?
(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?
Answer:
a) Due to the higher z-score, Ronald performed better relative to his peers on the test.
b) Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.
c) 95% of the population fall between graded of 4.868 and 31.132 on the ACT.
95% of the population fall between graded of 304 and 696 on the SAT.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
(a) Relative to their peers who also took the tests, who performed better on his test? Explain.
We have to find whoever has the higher z-score.
Ronald:
Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. So the z-score is found when [tex]X = 700, \mu = 500, \sigma = 100[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 500}{100}[/tex]
[tex]Z = 2[/tex]
Rubin:
Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7. So the z-score is found when [tex]X = 31, \mu = 18, \sigma = 6.7[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{31 - 18}{6.7}[/tex]
[tex]Z = 1.94[/tex]
Due to the higher z-score, Ronald performed better relative to his peers on the test.
(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?
They have to be in the 100 - 1 = 99th percentile, that is, they need a z-score with a pvalue of at least 0.99. So we need to find for them X when Z = 2.325.
Ronald:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.325 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = 232.5[/tex]
[tex]X = 732.5[/tex]
Rubin:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.325 = \frac{X - 18}{6.7}[/tex]
[tex]X - 18 = 15.58[/tex]
[tex]X = 33.58[/tex]
Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.
(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?
They fall between the 100 - (95/2) = 2.5th percentile and the 100 + (95/2) = 97.5th percentile, that is, they fall between X when Z = -1.96 and X when Z = 1.96.
ACT:
Lower bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - 18}{6.7}[/tex]
[tex]X - 18 = -1.96*6.7[/tex]
[tex]X = 4.868[/tex]
Upper bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 18}{6.7}[/tex]
[tex]X - 18 = 1.96*6.7[/tex]
[tex]X = 31.132[/tex]
95% of the population fall between graded of 4.868 and 31.132 on the ACT.
SAT:
Lower bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = -196[/tex]
[tex]X = 304[/tex]
Upper bound:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 500}{100}[/tex]
[tex]X - 500 = 196[/tex]
[tex]X = 696[/tex]
95% of the population fall between graded of 304 and 696 on the SAT.
What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km
The area of figure will be;
⇒ 105.56 km²
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is shown.
Now,
The area of figure is find as;
Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)
= 84 + 3.14 × 4 + 9
= 93 + 12.56
= 105.56 km²
Thus, The area of figure will be;
⇒ 105.56 km²
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using partial quotients 5,166 divide by 42
Answer: 123
Step-by-step explanation:
11/20
A box contains 5 red marbles, 6 white marbles, and 4 blue marbles. Find
P(red or blue)
Answer: 3/5
Step-by-step explanation:
Probability is the number of favorable outcomes divided by the total number of outcomes. In this case, there are 5+4+6, or 15, possible outcomes, because there is one selection from 15 marbles. Therefore, the probability of choosing a blue marble is 4/15, and the probability of choosing a red marble is 5/15. Add these together to get the probability of choosing a red or blue marble:
(4/15)+(5/15)=9/15
9/15 simplifies to 3/5.
Sam found a wrecked car that could she could fix. She bought the car for
65% of the original price of $7200. What did she pay for the car? SHOW YOUR WORK
$11,076.92
$4,680
$2,520
$468
=======================================================
Work Shown:
x% = x/100
65% = 65/100 = 0.65
So 65% in decimal form is 0.65
We use this to find the amount Sam paid for the car
65% of 7200 = 0.65*7200 = 4,680 dollars
--------------
Here's an alternative way to show your work
part/whole = percent/100
x/7200 = 65/100
x/7200 = 0.65
x = 0.65*7200
x = 4680
Ultimately we end up with 0.65*7200 and that's how we lead to the same answer as before. You could cross multiply like so
x/7200 = 65/100
x*100 = 7200*65
100x = 468000
x = 468000/100
x = 4680
So there are many paths to the same answer.
Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
The height of 6 pictures placed end to end on a bulletin board is 57 centimeters. All of the pictures are the same height . How tall is each picture ?
Answer:
9.5cm
Step-by-step explanation:
57 divided by 6=9.5
Answer:
9.5
Step-by-step explanation:
Divide 57 by 6 and you will get 9.5