The counterexample for "Two supplementary angles are not congruent." is
angle 100° and angle 80° are supplementary angels
angle 90° and angle 90° are supplementary angels
The instances show supplementary angles that are not congruent
What is counter examples?A specific situation that demonstrates that a statement is untrue is referred to as a counterexample.
Counterexamples provides instances that opposes the statement
In this case the two supplementary angles 100-and-80 and 90-and-90 are not congruent and hence a counterexample to the statement
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Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?
The number of points scored by Tyger will be 132 points.
What is the number of points?From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.
Therefore, the number of points scored by Tyger will be:
= Points scored by Captain + (Percentage × Captain point)
= 120 + (10% × 120)
= 120 + 12
= 132
Tyger scored 132 points.
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The number of points scored by Tyger will be 132 points.
What is the number of points?From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.
Therefore, the number of points scored by Tyger will be:
= Points scored by Captain + (Percentage × Captain point)
= 120 + (10% × 120)
= 120 + 12
= 132
Tyger scored 132 points.
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I’ll give you brainliest if you have the answer
Answer:
BGIA
Step-by-step explanation:
B = 0,4
G =-4,3
I = 4,0
A = 0,1
A ball is kicked with an initial velocity of 15 m/s in the horizontal direction and 18 m/s in the vertical direction. (Assume the ball is kicked from the ground.)
At what speed (in m/s) does the ball hit the ground?
For how long (in s) does the ball remain in the air?
What maximum height (in m) is attained by the ball?
A) The speed (in m/s) at which the ball hits the ground is; 23.43 m/s
B) The time (in s) that it takes the ball to remain in the air is; 3.67 s
C) The maximum height attained by the ball is; 16.51 m
How to solve projectile problems?
A) The motion of the ball on the vertical axis is basically uniformly accelerated motion, with acceleration g = 9.81 m/s² and initial vertical velocity v_y = 18 m/s, so the vertical position of the ball at time t is:
y(t) = v_y*t - ¹/₂gt²
The formula for time when the ball hits the ground is;
t = 2v_y/g
t = (2 * 18)/9.81
t = 3.67 s
Thus, vertical velocity at time t is given by the formula;
v_y(t) = v_y - gt
v_y(t) = 18 - (9.81 * 3.67)
v_y(t) = -18 m/s (which shows it is in the opposite direction because of the negative sign)
Thus, the speed at which the ball hits the ground is the resultant of the vertical and horizontal velocity at time t;
v = √(v_x² + v_yt²)
v = √(15² + 18²)
v = 23.43 m/s
b) From a above, the time that the ball remains in the air is the time it takes to hit the ground which is t = 3.67 s
c) The time to reach maximum height is half the time it takes to reach the ground. Thus;
t = 3.67/2 = 1.835 s
Thus maximum height is given by the formula;
y(t) = v_y*t - ¹/₂gt²
y(1.835) = 18(1.835) - ¹/₂(9.81)(1.835²)
y = 16.51 m
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Jaxon bought 10 2/3 pound of apples at the farmer’s Market. If the apples cost $1.80 per pound,how much did jaxon pay for the apples , in dollars and cents
The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.
Given,
The quantity of apple bought by Jaxon = 10 2/3 pounds
The cost of one pound of apple = $1.80
We have to find the total amount Jaxon should paid for the apples, in dollars and cents;
Here,
Total amount Jaxon should paid = Quantity of apple bought by Jaxon × Cost of one pound of apple
Total amount Jaxon should paid = 10 2/3 × 1.80
Total amount Jaxon should paid = 12 dollars
1 dollar is equal to 100 cents
Then,
12 dollars = 12 x 100 = 1200 cents.
Therefore,
The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.
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please help!!!! 50 points
The number of words per sentence in a certain book is normally distributed with a mean of 21 words and a standard deviation of 4 words.
Approximately what percent of sentences in the book are less than 13 words in length?
A. 2.5%
B. 5%
C. 47.5%
D. 87.5%
The answer will be:
B: 5 percent/ 5%
13 words in length will be 5%
Hope this helped
:)
What is tan 67 degrees
Previ
Question 3 Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length of the line segment shown
-8 -7 -6
O 100 units
025 units
O 10 units
4
08 units
31
2
1
--5433/-2 -10
-1
O
N ?
&
2
3
4
D
5
x↑
The length of the line segment with endpoints at (0, 3) and (-6, -5) is 10 units
What is an equation?An equation shows the relationship between two or more numbers and variables.
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The line segment have endpoints at (0, 3) and (-6, -5). Hence:
Length = √[(-5-3)² + (-6 - 0)²] = √(8² + 6²) = √100 = 10
The length of the line segment is 10 units
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Shown below is a "magic square"
Each column, row and diagonal has the same total.
Work out the missing fractions.
- 15
10
9
20
1
3
20
10
Answer:
123 423 21 34
Step-by-step explanation:
You are walking from home to a clothing store. You stop for a rest after 1/2 miles. The clothing store is actually 3/5 miles from home. How much farther do you have to walk?
Answer:
2/3 u need to walk to reach the clothing shop
A man has 25 coins in His pocket all of which are dimes and quarters. If the total value of his change is 475 cents, how many dimes and how many quarters does he have
Answer:
10 dimes15 quartersStep-by-step explanation:
You want to know the numbers of dimes and quarters that make 475 cents using 25 coins.
SetupLet q represent the number of quarters. Then 25-q is the number of dimes, and the total value of the coins is ...
25q +10(25-q) = 475
SolutionSimplifying the above equation gives ...
15q +250 = 475
15q = 225 . . . . . . . subtract 250
q = 15 . . . . . . . . . divide by 15; number of quarters
25 -q = 10 . . . . number of dimes
The man has 10 dimes and 15 quarters.
a number is decreased by 6 then multiplied by 4. the final number is greater than the original number solve the inequality
Answer:
n > 8
Step-by-step explanation:
Let's call the unknown number n. Set up the inequality: (n-6)×4>n
Distribute on the left side, subtract the n from the right to the left, and continue solving.
I need help finding S please help fast
Answer:
s = 89°
Step-by-step explanation:
Exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.
[tex] \therefore[/tex]
[tex] \rm \implies (v + 1) \degree + (v - 28) \degree = (v + 32) \degree \\ \\ \rm \implies 2v - 27 \degree = (v + 32) \degree \\ \\ \rm \implies 2v -v = 32 \degree + 27 \degree \\ \\ \rm \implies v = 59 \degree [/tex]
Sum of angles in a straight line is equal to 180°
[tex] \therefore[/tex]
[tex]\rm \implies v + 32 \degree + s = 180 \degree \\ \\ \rm \implies 59 \degree + 32 \degree + s = 180 \degree \\ \\ \rm \implies s + 91 \degree = 180 \degree \\ \\ \rm \implies s = 180 \degree - 91 \degree \\ \\ \rm \implies s = 89 \degree[/tex]
Similarity between concurrent and point of concurrency
Concurrent lines meet at the point of concurrency.
On Saturday, 120 hotel guests used the valet service, and 280 hotel guests did
not use the valet services. What percentage of the guests at this hotel used the
valet service on Saturday?
Answer: 42.86%
Step-by-step explanation: 120/280*100 = 42.86%
How do I solve this question
The partial fraction form of the given fraction [x+5/(x-7)(x-5)] is
[A/(x-7)+B/(x-5)].
What is decomposition to partial fractions?For a rational fraction to be partially decomposed or expanded in algebra, the fraction must be expressed as the product of a polynomial and one or more fractions with a simpler denominator.Partial fraction decomposition is the process of taking a rational expression and breaking it down into smaller rational expressions that we can combine or divide to recover the original rational expression.So, the fraction is:
x+5/(x-7)(x-5)We know that:
px + q/(x-a)(x-b), a≠b ⇒ A/(x-a) + B/(x-b)Use the same identity to get the partial fraction of the given fraction as follows:
x+5/(x-7)(x-5)A/(x-7) + B/(x-5)Therefore, the partial fraction form of the given fraction [x+5/(x-7)(x-5)] is [A/(x-7) + B/(x-5)].
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A submarine was 400 meters below sea level it then moved to 583 meters below sea level. How many meters did the submarine descend? how did you get the answer?
Answer:
Step-by-step explanation:
You subtract 583 from 400 (400-583)
Then you get 183
Apply Laws of Exponents to write an equivalent expression for the given expression
Step-by-step explanation:
e⁰ = 1
so, we have
(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)
FYI - depending on what your teacher wants to see as simplified answer, it could be also
1 / (fgh⁶)⁸
or
(1 / (fgh⁶))⁸
but normally it should be the first result form above
1 / (f⁸g⁸h⁴⁸)
-5ax6(2ax4 + 7x2)
what might be the answer to this?? (pleasee!! it’s for my semester final.)
The solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is -5ax⁶(2ax⁴ + 7x²). The solution of the expression will be done as,
E = -5ax⁶(2ax⁴ + 7x²)
E = -10a²x¹⁰-35ax⁸.
Therefore, the solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.
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Use the given information to find the number of degrees of freedom, the critical values χ2L and χ2R, and the confidence interval estimate of σ. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.
Nicotine in menthol cigarettes 95% confidence; n=23, s=0.25 mg.
The critical values of the chi statistic are; χ²R = 8.643 and χ²L = 42.796
The confidence interval estimate of σ is; 0.20 < σ < 0.45
How to find the critical value of Chi - Statistics?We are given the following data;
Sample size; n = 23
Degree of freedom; df = n - 1 = 23 - 1 = 22
Confidence level; α - level = 99%
Sample standard deviation; s = 0.25 mg
For χ²R;
The significance level is; 1 - (1 - 0.99)/2= 0.995
The degree of freedom is; df = 22
From critical value tables, we know that; χ²R = 8.643
For χ²L ;
The significance level is; (1 - 0.99)/2 = 0.005
The degree of freedom is; df = 22
From critical value tables, we know that; χ²L = 42.796
The confidence interval estimate of σ is;
s * √[(n-1)/χ²L] < σ < s * √[(n-1)/χ²R)]
Plugging in the relevant values gives;
0.28 * √(22/42.796) < σ < 0.28 * √(22/8.643)
0.2008 < σ < 0.4467
0.20 < σ < 0.45
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The monthly output at the Olek Carpet Mill is
Q(x) = 15,000 + 2x2 units, (40 ≤ x ≤ 60)
where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).
Q'(46) =
The instantaneous rate of change of monthly output with respect to the number of workers is equal to 184.
What is the instantaneous rate of change?The instantaneous rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity at a particular instant.
In Mathematics, the instantaneous rate of change can be calculated by taking the derivate of the function with respect to an independent variable. This ultimately implies that, the instantaneous rate of change is equivalent to the change in the derivative value at a particular instant.
Taking the derivate of the given function, we have:
Q(x) = 15,000 + 2x²
Q'(x) = d/dx(15,000) + d/dx(2x²)
Q'(x) = 0 + 2x(2)
Q'(x) = 4x.
At x = 46, we have:
Q'(x) = 4(46)
Q'(x) = 184.
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Complete Question:
The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 ≤ x ≤ 60), where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).
Q'(46) =
you have 9 squares and 3 circles what is the ratio
There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?
There are 6 circles and 9 squares.
Factors of 6: 1,2,3,6
Factors of 9: 1,3,9
Common factors: 1,3
GCF (greatest common factor): 3
6:9
Unsimplified ratio
÷3↓↓÷3
Reduce out GCF
2:3
Simplified ratio
Visual representation:
6
2
9
Answer:
Step-by-step explanation:
1. Nine squares to three circles. You can right it as a ratio by using a colon to seperate its ratio!
9 to 3= 9:3
2. If a ratio is not simplified, always simplify it like fractions.
9:3= 3:1
3. Answer: 3:1
Can you help me solve this problem?
The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:
0.1131 = 11.31%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given as follows:
p = 0.73, n = 80.
Hence the mean and the standard error are given as follows:
[tex]\mu = 0.73[/tex].[tex]s = \sqrt{\frac{0.73(0.27)}{80}} = 0.0496[/tex]The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (0.67 - 0.73)/0.0496
Z = -1.21
Z = -1.21 has a p-value of 0.1131.
Hence the probability is:
0.1131 = 11.31%.
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hamilton elementary had 1264 students in 2017. in 2018 the numbers of students increased to 1592 students what was the percent increase rounded to the nearest hundredth
Answer: 25.949%
Step-by-step explanation:
a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph. how long does the Air Force plane need to fly before the planes are 3510 miles apart?
The time the airforce plane needs to before the planes are 3510 miles apart is 8.32 hours.
What is time?Time is the duration of an event
How to find how long before the planes are 3510 m apart?Since a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph.
The distance flown by the jet is d = vt where
v = speed of jet = 410 mph and t = time of flight of jet planeSo, d = 410t
Also, the distance flown by the airplane is D = vt' where
v = speed of airplane = 160 mph and t' = time of flight of airforce plane = t + 3 (since it flies 3 hours later)So, D = 160t'
= 160(t + 3)
Since the total distance apart of the both jet and airplane is D' = d + D, we have
D' = 410t + 160(t + 3)
Given that D = 3510 miles, we have that
410t + 160(t + 3) = 3510
Soving for t, we have
410t + 160t + 480 = 3510
570t = 3510 - 480
570t = 3030
t = 3030/570
t = 5.32 hours
Since t' = t + 3, we have
t' = 5.32 + 3
= 8.32 hours
So, the airforce plane needs to fly for 8.32 hours.
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work out the size of angle x 24
Answer:
78°
Step-by-step explanation:
You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.
Base angleThe two base angles of an isosceles triangle are congruent. The sum of all angles is 180°, so we have ...
24° +2x = 180°
12° +x = 90° . . . . . . divide by 2
x = 78° . . . . . . . subtract 12°
The measure of angle x is 78°.
Graph a linear function with the given slope and y-intercept slope:3 y-intercept: 10
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
\What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = 3
y-intercept = 10
The equation of a line is given as y = mx + c
m = slope
c = y-intercept
Now,
m = 3
c = 10
So,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
Thus,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
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Which graph represents the solution set of - 4x - y ≤ - 6?
Answer:
Step-by-step explanation:
Which graph represents the solution set of - 4x - y ≤ - 6?
A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1,095 respondents, 631 said it was a good thing.
c. Find a 95% confidence interval for the proportion who believe immigration is a good thing.
A 95% confidence interval for the proportion who believe immigration is a good thing is; CI = (0.4173, 0.7173)
What is the Confidence Interval of Proportions?The formula for the confidence interval of proportions is;
CI = p ± z√(p(1 - p)/n)
where;
p is sample proportion
z is z-score at confidence level
n is sample size
We are given;
Number of success; x = 631
Sample size; n = 1095
Thus;
sample proportion; p = x/n = 631/1095 = 0.5763
The z-score at 95% confidence level is 1.96. Thus;
CI = 0.5673 ± 1.96√(0.5673(1 - 0.5673)/1095)
CI = 0.5673 ± 0.015
CI = (0.5673 - 0.15), (0.5673 + 0.15)
CI = (0.4173, 0.7173)
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Divide the monomial denominator by writing the fraction as the sun or difference of fractions.
Division of the monomial denominator by writing the fraction as the sum or difference of fractions is [tex]8x+8 - \frac{1}{x^{3}}[/tex].
What is a polynomial equation?
Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.
We have,
[tex]\frac{8x^{4} + 8x^{2} - 1}{x^{3}}[/tex]
Break down the polynomial and divide:
[tex]= \frac{8x^{4} }{x^{3} } + \frac{8x^{2}}{x^{3}} + \frac{-1}{x^{3}}[/tex]
Calculating each division we get
[tex]=8x+ 8x - \frac{1}{x^{3} }[/tex]
Therefore the final answer is
[tex]\frac{8x^{4} +8x^{3} −1}{x^{3}} = 8x+8 - \frac{1}{x^{3}}[/tex]
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The function a ( b relates the area of a trapezoid with a given height of 12 and one base length of 9 with the length of its other base.it takes as input the other base value and returns as output the area of the trapezoid
A (b)=12. B+9/2 which equation represents the inverse function b ( a which takes the trapezoids areas and put and returns as output the length of the other base
Answer:
B(a) = a/6 - 9
Step-by-step explanation:
The equation that represents the function B(a) as the length of the side parallel to the base is B(a) = a/6 - 9, as per the area of a trapezoid.
What is the area of a trapezoid?
If the length of two parallel sides of a trapezoid is 'a', 'b' and the height of that trapezoid is 'h', then the area of a trapezoid can be represented as
= [(a + b)h]/2
Given, the base of the trapezoid is 9 and the height of the trapezoid is 12.
Therefore, 'b' is the parallel side of the base.
The given function that represents the area of the trapezoid is:
A(b) = [12(b + 9)]/2
Let, A(b) = a.
Therefore, a = [12(b + 9)]/2
⇒ 2a = 12(b + 9)
⇒ a = 6(b + 9)
⇒ a = 6b + 54
⇒ 6b = a - 54
⇒ b = (a - 54)/6
⇒ b = a/6 - 9
If we assume the length of the side parallel to the base 'b' = B(a), therefore, the equation will be:
B(a) = a/6 - 9