Answer:-2
Step-by-step explanation:
It’s not -6b because that is showing that it’s getting subtracted
Hope I helped
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Question 3
What is the slope of the line
Answer:
where's figure heheeeeee
one number is 10 more than another. their product is -25
Answer: resource - trust me bro
Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20
4500 tennis balls will be used during the tournament in a ratio of 1:2 white to yellow.
Answer: 1500 white tennis balls and 3000 yellow tennis balls
Step-by-step explanation:
The tournament will use a total of 3000 yellow tennis balls and 1500 white tennis balls. This is because the ratio of white to yellow tennis balls is 1:2, which means that for every one white ball, two yellow balls will be used. To determine the number of yellow balls, we can divide the total number of balls by the sum of the ratio terms which is 1+2=3. Then, we multiply the result by the second term in the ratio which is 2/3. This gives us:
4500 / 3 = 1500 (white balls)
4500 * (2/3) = 3000 (yellow balls)
Therefore, there will be 1500 white tennis balls and 3000 yellow tennis balls used during the tournament.
Answer:
1500 white to 3000 yellow
Step-by-step explanation:
1500:3000
How does the graph of f(x) = 3(4)*t + relate to its parent function?A. The parent function has been translated to the right.B. The parent function has been compressed.C. The parent function has been stretched.D. The parent function has been translated up..
As per given by the question,
There are given that the function,
\(f(x)=3(4)^{x-5}+\frac{2}{3}\)Now,
We have to find the graph of given function relate to its parent function.
Then,
Let parent function is;
\(g(x)=4^x\)According to the question,
The graph shift 5 unit towards right, because there are given that,
\(g(x)=g(x-5)\)Now,
Stretch vertically 3 times by using the rule of transformation.
That means, there are already given tha;
\(f(x)=3(4)^{x-5}\)Now,
Again, according to the question,
Shift the graph 2/3 unit upward, because there are also mentioned ,
\(f(x)=f(x)+\frac{2}{3}\)So,
With the help of these three transformation rule, we can find the option.
Hence, the option A, C, and D is correct.
WILL GIVE BRAINLIEST 20 POINTS
Congruent?
If so, what property?
Answer:
No, not congruent
Step-by-step explanation:
Triangles cannot be considered congruent based on the fact that all 3 angles are congruent
Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Is 2x - 3 = -7 x + 2 > y a true or false statement?
Nataliah can read 160 words per minute. Let w represent the total number of words
Nataliah reads, and let m represent the number of minutes she spends reading. Create a
table and a graph to show how many words Nataliah will read from 1 to 5 minutes. Don't
forget to label your axes.
Please review the analysis for the dependent and independent variables. Equation: The total probability for the number w=160 m on the chart is 160 m.
What is the probability ?Equation w=160 m.w (words) equals 160 words in the first minute and 320 words in the next two minutes. 800 words in five minutes, 480 words in three minutes, and 640 words in four minutes. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B).
The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. A probability is a number that expresses the possibility or likelihood that a specific event will take place.
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Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x≤ 2 0 if x>2. (piecewise)
A graph of the given piecewise-defined function is shown in the image below.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.
In conclusion, this piecewise-defined function has a removable discontinuity.
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Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x=16
Step-by-step explanation:
Process in photo.......
A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are: 13 million from the office building, 9 million from the theater, and 4 million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are .17, .27, .45, and .11, respectively. Let x be the random variable that represents the contractor's profits in millions of dollars. Write the probability distribution of x. Find the mean and standard deviation of x.
Answer:
Probability distribution:
x (million) P(x)
13 0.17
9 0.27
4 0.45
0 0.11
Mean: 6.44
Standard deviation: 4.04
Explanation:
The probability distribution is a table that shows the profits earned and its respective probabilities, so:
x (million) P(x)
13 0.17
9 0.27
4 0.45
0 0.11
Then, the mean can be calculated as the sum of each profit multiplied by its respective probability. Therefore, the mean E(x) is equal to:
E(x) = 13(0.17) + 9(0.27) + 4(0.45) + 0(0.11)
E(x) = 2.21 + 2.43 + 1.8 + 0
E(x) = 6.44
Finally, to calculate the standard deviation, we first need to find the differences between each value and the mean, and then find the square of these values, so:
x x - E(x) (x - E(x))²
13 13 - 6.44 = 6.56 (6.56)² = 43.03
9 9 - 6.44 = 2.56 (2.56)² = 6.55
4 4 - 6.44 = -2.44 (-2.44)² = 5.95
0 0 - 6.44 = -6.44 (-6.44)² = 41.47
Then, the standard deviation will be the square root of the sum of the values in the last column multiply by each probability:
\(\begin{gathered} s=\sqrt[]{43.03(0.17)+6.55(0.27)+5.95(0.45)+41.47(0.11)} \\ s=\sqrt[]{16.3264} \\ s=4.04 \end{gathered}\)Therefore, the answers are:
Probability distribution:
x (million) P(x)
13 0.17
9 0.27
4 0.45
0 0.11
Mean: 6.44
Standard deviation: 4.04
You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand. You started with five cubic feet of sand. What equation models the amount of sand after minutes?
Answer:
10% of the remaining sand You had 5 ft of sand So y=5(.10(x))Answer:
the RIGHT answer is y = 5 x 0.90^x
Step-by-step explanation:
ten percent has already been blown away, so you only include the percentage of what hasn't been blown away in the equation. (also i just did the assignment and got 100% so you can trust this).
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
How would you correctly simplify this rational expression, 4x-8/x^2 +4x-12?
The simplified form of the given expression, 4x-8/x^2 + 4x -12, is 4/x+6
Simplifying an expressionFrom the question, we are to simplify the given rational expression.
From the given information,
The given rational expression is
4x-8/x^2 + 4x -12
First, we will write the given expression properly
The given expression properly written is
4x-8/x² +4x-12
Now, we will factor both the numerator and the denominator of the expression
Factoring the numerator
4x - 8
4(x -2)
Factoring the denominator
x² + 4x -12
x² + 6x - 2x -12
x(x +6) -2(x + 6)
(x -2)(x +6)
Thus,
The expression becomes
4(x -2)/(x - 2)(x + 6)
Dividing, we get
4/x+6
The simplified expression is 4/x+6
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Given: F3 = 5 k + 515 g F4 = 945k - 713 g ; find F20
9514 1404 393
Answer:
F20 = 15985k -20361g
Step-by-step explanation:
If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...
d = F4 -F3 = (945k -713g) -(5k +515g)
d = 940k -1228g
Then the 20th term is ...
F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)
F20 = 15985k -20361g
Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)
\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)
well, not quite.
what is the estimated sum of 4 5/12 + 3 8/14
A.7
B.7 1/2
C.8
D.9
The estimated sum of 7 83/84 is 8 to the nearest whole number.
Addition of mixed fractions:Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.
Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.
Using the first process:
= 4 5/12 + 3 8/14
The whole number are 4 and 3, adding those two together, we have:
= 7 (5/12 + 8/14)
The L.C.M of 12 and 14 is 84.
= 7( (7×5)+ (6*8) ) /84
= 7 (35+ 48/84)
= 7 (83/84)
To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.
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* You see a pair of jeans on sale for 10% off the regular price of $50. You have a credit card with a 1396 interest rate. If you buy the jeans today with the credit card and pay them off after two months, are you paying more or less than the regular $50 price for them? Please explain your decision and SHOW your calculations.
z > 34. Which of the following statements is the best way to describe the value of z? (3 points) The value of z is less than 34. The value of z is more than 34. The value of z has a maximum of 34. The value of z has a minimum of 34.
Answer:
ans: value of z is greater than 34
Step-by-step explanation:
draw the number line as shown in picture
125x ^ 3 - 27 = 0
Solve this by grouping
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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A company borrows $68,000 for 8 years at a simple interest rate of 15.5%. Find the interest paid on the loan and the total amount paid.
The interest paid on the loan and the total amount paid are $84,320 and $152,320 respectively.
It is given in the question that:-
Money borrowed by the company (Principal) = $68,000
Time period for which the money is borrowed = 8 years
Simple Interest rate = 15.5 %
We have to find the interest paid on the loan and the total amount paid.
We know that,
Simple interest = (Principal * Interest * Rate)/100
Hence, we can write,
Simple interest = (68000 * 15.5 * 8)/100 = $84,320
Also, we know that,
Amount = Principal + Interest
Hence, we can write
Amount = 68,000 + 84,320 = $152,320
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plss help me for branleist
Answer: x=67
Step-by-step explanation:
All of the angles add up to 180 for a triangle
38 + 75 + x = 180 >combine like terms (the numbers)
113 + x = 180 >subtract 113 from both sides
x=67
Answer:
x = 67°Step-by-step explanation:
We know that,
\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)
\( \large \sf \: → x +38° + 75° = 180°\)
\( \large \sf \: → x + 113 = 180°\)
\( \large \sf→ x = 180°- 113°\)
\( \boxed{\large \bf→ x = 67° }\)
A picture of a bridge in the country of Croatia is shown below
Which type of angle best describes /_ACB?
A. acute
B. right
C. obtuse
D. straight
Use the drawing tools to form the correct answer on the number line
Graph the solution set to this inequality.
-2(x + 6) > -4x
Answer:
Step-by-step explanation:
Answer:
x > 6 with an open point
Hope this helps!
Step-by-step explanation:
-2 ( x + 6 ) > -4x
-2x - 12 > -4x
-(-4x) - 2x > -(-12)
4x - 2x > 12
2x > 12
x > 6
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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on Thursday 263 people went to the concert, on Friday 118 people went to the concert. how many more people went to the concert on Thursday than Friday
Please help me with this ,
Answer:
(a) -2.3°/min
(b) -2.9°/min
Step-by-step explanation:
The average rate of change is the ratio of the difference in R values to the difference in the corresponding t values.
(a) m = (157.6 -226.6)/(30 -0) = -69/30 = -2.3 . . . degrees per minute
__
(b) m = (61.6 -119.6)/(70 -50) = -58/20 = -2.9 . . . degrees per minute
In each of the following scenarios, determine whether the data is paired or not paired.
Part A: Compare pre- (beginning of semester) and post-test (end of semester) scores of students.
Part B: Assess gender-related salary gap by comparing salaries of randomly sampled men and women.
Part C: Compare artery thicknesses at the beginning of a study and after 2 years of taking Vitamin E for the same group of patients.
Part D: Assess effectiveness of a diet regimen by comparing the before and after weights of subjects.
Part (A) = Paired, Part (B) = Not Paired, Part (C) = Paired, Part (D) = Paired
Part A:
Compare pre- (beginning of the semester) and post-test (end of the semester) scores of students
Paired, as a subject are the same in both.
Score
A score is a group of 20 (often used in combination with a cardinal number, i.e. fourscore to mean 80), but also often used as an indefinite number.
Part B:
Assess the gender-related salary gap by comparing the salaries of randomly sampled men and women.
Not paired.
Sample
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample. The possible values and the likelihood of each are determined by the random variable's probability distribution.
Part C:
Compare artery thicknesses at the beginning of a study and after 2 years of taking Vitamin E for the same group of patients.
Paired, as a subject are the same in both.
Vitamin E
Vitamin E is a fat-soluble vitamin with several forms, but alpha-tocopherol is the only one used by the human body.
Part D:
Assess the effectiveness of a diet regimen by comparing the before and after weights of subjects.
Paired, as a subject are the same in both.
Weight
The weight of an object refers to the force of gravity that is acting on the object. Furthermore, its calculation is mass times the acceleration of gravity, w = mg. The SI unit of weight is the newton because weight is a force.
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Compare artery thicknesses at the beginning of a study and after 2 years of taking Vitamin E for the same group of patients.
Paired, as a subject are the same in both.
Vitamin E
Vitamin E is a fat-soluble vitamin with several forms, but alpha-tocopherol is the only one used by the human body.