Answer:
Step-by-step explanation:
The hypotenuses(x) of the triangle whose legs are 12 cm and 16 cm is 20 cm.
As we know that in a right angled triangle there are base, perpendicular and hypotenuse. a hypotenuse is the longest side of a right triangle. In other words, the side opposite to the right angle is called the hypotenuse.
Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
By Pythagoras theorem, hypotenuse (x) = √(a² + b²)
= √(16² + 12²)
= 20 cm
If the y-intercept is 4, the point version would be written as:
( , )
If the y-intercept is 4, the point version would be written as (0,4).
What is a point?
In classical geometry, a point may be a primitive notion that models a particular location in area, and has no length, width, or thickness. In trendy arithmetic, a point refers additional typically to a part of some set referred to as an area.
Main body:
As the y-intercept is 4 , so x intercept is 0 according to which the point becomes (0,4)
as x =0 and y = 4.
hence , the point version would be written as (0,4).
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Write a proof, that AJKN ALMN (15 points)
K
N
M
I
write the slope-intercept form of the equation of each line give the slope and y-intercept
13) y= 3/5 x +2
14) y= x + 2
Use the graph of g(x) to complete the table.
Which system of equations can be used to determine the values of A and B?
The system of equations that should be used is the second one:
-15 = 5A
10 = -2A + B
Which system of equations can be used?Here we have the following equation:
[tex]\frac{-15x + 10}{(5x - 2)^2} = \frac{A}{5x - 2} + \frac{B}{(5x - 2)^2}[/tex]
If we multiply and divide the first therm in the right side by (5x - 2) we will get:
[tex]\frac{-15x + 10}{(5x - 2)^2} = \frac{A*(5x - 2)}{(5x - 2)^2} + \frac{B}{(5x - 2)^2}[/tex]
The numerators must be equal, then we can write:
-15x + 10 = A*(5x - 2) + B
-15x + 10 = A*5x - 2A + B
Then we can write two equations, one that has x as a factor and other that does not, these are:
-15 = 5A
10 = -2A + B
That is the system of equations.
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Answer:
B.
Step-by-step explanation:
took unit test
2x^2+8x-1=0
Solve by completing the square
Answer:
x=-4/3
Step-by-step explanation:
we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the :
we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the availability bias
When faced with an instant choice requirement, the availability heuristic enables people to make decisions fast. When you are trying to decide, a lot of connected incidents or circumstances could pop into your head right away. You can conclude that some events are more common or likely than others as a result.
You tend to overestimate the possibility and likelihood of similar situations happening in the future and give this information more weight. When you're attempting to decide or pass judgement on the world around you, this can be useful. Would you argue, for instance, that words in the English language that start with the letter t or with the letter k are more numerous?
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(2.4 times 10 cubed ) timez 9.5 times 10 to the power of 5
Answer: 2280000000
Step-by-step explanation: Yes, I know it is a long number, but 10 cubed = 10 x 10 x 10, which simplified, would be 100 x 10, which is 1000. So, now you do 2.4 x 1000 to get 2400. Now you take that and multiply that by 9.5. Then, you do 10 to the 5th power, which is 100000. Now, you connect it all together, to get 2280000000. Hopefully, I did it right, if not I am sorry :/
Washington Plastic Products pays Nancy Bell a $1710 monthly salary plus a 14% commission on merchandise she sells each month. Assume Nancy's sales were
$59,400 for last month.
Calculate the following amounts:
1: Amount of Commission
2: Gross pay
To calculate the amount of commission that Nancy Bell earned last month, we can use the following formula:
Commission = Sales * Commission Rate
In this case, the sales are $59,400 and the commission rate is 14%, so the commission is:
Commission = $59,400 * 14% = $8,356
To calculate Nancy's gross pay, we can add her salary to her commission:
Gross Pay = Salary + Commission
Gross Pay = $1,710 + $8,356 = $10,066
Therefore, Nancy earned $8,356 in commission and her gross pay was $10,066.
Find the end behavior of the function:
f(x) = 2^-xsin3x
Answer:
The end behavior of the function f(x) = 2^-xsin3x is that it approaches 0 as x approaches positive infinity and approaches infinity as x approaches negative infinity.
Step-by-step explanation:
The end behavior of a function refers to how the function behaves as the input values approach positive infinity or negative infinity.For example, consider the function f(x) = 2^-xsin3x as x approaches positive infinity and negative infinity; its behavior is that it begins to oscillate between 1, -1/2, and 0. The end behavior of the function f(x) = 2^-xsin3x is that it approaches infinity as x approaches positive infinity.The same is true for the function g(x), where the end behavior is to oscillate between 1, -1/2, and 0 with respect to negative infinity.Frank has white and blue bulbs with the ratio of 3:5. It has 45 white bulbs. He wants to change the ratio of white and blue bulb to 1:3. He will keep the same total number of bulbs. How many MORE blue bulbs will there be now?
Using the concept of ratios, there is 15 more blue balls
What are RatioThe ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
The ratio of white to blue balls is 3:5
The number of white bulbs is 45
let's calculate the number of blue balls to determine the total number of balls.
3 + 5 = 8;
(3 / 8) * x = 45
3x = 45 * 8
3x = 360
x = 360 / 3
x = 120
The total number of balls is 120.
The number of blue balls ;
5/8 * 120 = 75
To change ratio to 1 : 3 in respect to white and blue balls;
1 + 3 = 4
The number of blue balls can be calculated as;
3 /4 * 120 = 90
The number of blue balls now is 90 balls
There will be 90 - 75 = 15 balls
There's 15 more blue balls
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Amadou and his children went into a grocery store and he bought $9 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. He bought 4 times as many apples as bananas. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Amadou bought.
Determine three ways to have 4 times as many apples as bananas
Answer:
To have 4 times as many apples as bananas, Amadou could have bought 4 apples for every 1 banana, or 8 apples for every 2 bananas, or 16 apples for every 4 bananas.
4 apples : 1 banana
8 apples : 2 bananas
16 apples : 4 bananas
We can use the fact that the total cost of the apples and bananas was $9 to determine the number of apples and bananas that Amadou bought. Since each apple costs $1, Amadou bought 9 apples if he bought no bananas, or 7 apples if he bought 2 bananas, or 5 apples if he bought 4 bananas.
9 apples : 0 bananas
7 apples : 2 bananas
5 apples : 4 bananas
Therefore, the possible combinations of apples and bananas that Amadou could have bought are 9 apples and 0 bananas, 7 apples and 2 bananas, or 5 apples and 4 bananas.
Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 333 marbles into a marble jar. When the jar has 100100100 or more marbles, the students have a party. Right now, the jar has 242424 marbles.
Therefore, in order for them to enjoy a party, they must be rewarded a minimum of 26 extra times.
Define equation.The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced. An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.
Here,
Given: Given: To reward her students for good behavior, Mrs. Morton fills a marble jar with three marbles.
if there are 24 marbles in the jar. When r denotes the quantity of additional rewards for the class, then the necessary equation is 24 + 3r 100.
If we can figure it out, we'll obtain the minimum number of marbles the jar holds—24.
In order to solve the problem, take 24 away from both sides.
=> 3r ≥100 -24
=> 3r ≥76
=> r ≥76/3
=> r ≥ 25.33
=> r≈ 26
Therefore, in order for them to enjoy a party, they must be rewarded a minimum of 26 extra times.
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What is the order from least to greatest of the following: 0.6, −0.3, 3.3, and −3.5?
3.3, 0.6, −0.3, −3.5
0.6, −0.3, −3.5, 3.3
−0.3, 3.3, 0.6, −3.5
−3.5, −0.3, 0.6, 3.3
Answer:
−3.5, −0.3, 0.6, 3.3
Step-by-step explanation:
This is because negative numbers are less than positive numbers, and numbers with a smaller absolute value are less than numbers with a larger absolute value. Therefore, the smallest number in the given list is −3.5, followed by −0.3, 0.6, and finally 3.3. When we put the numbers in this order, we get the correct order from least to greatest.
suppose we wish to test the null hypothesis that there is no association between student year in school and student opinion. under the null hypothesis, what is the expected number of strongly opposed juniors?
Under the null hypothesis, the expected number of strongly opposed juniors is 50.
The term null hypothesis refers the typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Here we have given that suppose we wish to test the null hypothesis that there is no association between student year in school and student opinion.
And we need to find under the null hypothesis, what is the expected number of strongly opposed juniors.
Here let us consider there are 100 students.
Then according to the given statement, there is no association between student year in school and student opinion.
Which refers that half of them are supported and half of them are opposed.
Therefore, the expected value is 50.
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Find the area of these shapes!
Answer:
1) 35.07
2) 123.6
3)3.9
4) 102.83
5)97.5
6)6.93
Find the midrange for the data items in the given frequency distribution.
Score, x 29 30 31
Frequency, 2 3 4
The midrange for the data items in the given frequency distribution is 30.5.
What is the midrange for the data items in the given frequency distribution.?Generally, To find the midrange for the data items in the given frequency distribution, we need to calculate the midpoint of each score range. The midpoint of a range is calculated by taking the average of the lower and upper bounds of the range.
For the first score range (29-30), the lower bound is 29 and the upper bound is 30, so the midpoint is (29 + 30) / 2 = 29.5.
For the second score range (30-31), the lower bound is 30 and the upper bound is 31, so the midpoint is (30 + 31) / 2 = 30.5.
Therefore, the midrange for the data items in the given frequency distribution is 30.5.
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Evaluate.
(a - 2b)^2 when a = -4 and b = -1/2
25
9
-9
-25
What is the measure to the nearest hundredth of each angle of a regular polygon having seven sides?
Answer:
The measure of each interior angle of a regular polygon with 7 sides is about 128.6.
Step-by-step explanation:
hope this helps
What are vertical and adjacent angles? How do you find the measure of an unknown angle using these relationships? Give an example and show your work.
Vertical angles are two angles that are opposite each other and share a common vertex. Adjacent angles are two angles that share a common side and vertex.
To find the measure of an unknown angle using these relationships, you can use the vertical angle theorem which states that if two angles are vertical, then they have equal measure. For example, if angle A and angle B are vertical angles, then angle A = angle B.
Example:
Given: Angle A = 40°
Find the measure of angle B
Solution:
Since angle A and angle B are vertical angles, then angle A = angle B
Therefore, the measure of angle B = 40°
What is an angle?An angle is created when two straight lines or rays intersect at the same point. The point where all points converge is known as an angle's vertex. The Latin word angulus, which meaning "corner," is where the term "angle" comes from.
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Find the Rate of Change
Answer:
c 5
Step-by-step explanation:
2=10
1=5
5+5=10
hope this helps by now
Answer:
Blue: 1/5
Step-by-step explanation:
To find the rate of change you use your slope formula which is y2-y1 over x2-x1.
You'd set your equation and you'd get 4-2 over 20-10. You solve and you get 2/10 and because it isn't one of the answer choices you have to simplify it. To simplify it you find the common number they both share and they both share 2 so you divide both by 2. 2 divided by 2 is 1 and 10 divide by 2 is 5. So then the rate of change or slope is 1/5.
for a binomial random variable x, it can only takes on two possible values, 0 or 1. group of answer choices true false
for a binomial random variable x, it can only takes on two possible values, 0 or 1 is True
A binomial random variable is a discrete random variable, which means that it can only take on certain values, in this case 0 or 1. This means that the answer to the question is true. A binomial random variable is the sum of two independent Bernoulli random variables, where each Bernoulli random variable has a probability of success equal to the probability of success for the binomial random variable. This means that the binomial random variable is a summation of two Bernoulli random variables, and can only take on values of 0 or 1.
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(a) whenever hoffman rolls a first ball of a frame, the probability of making a strike is 0.5. find the probability that hoffman rolls a perfect game. (round your answers to six decimal places.)
There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5. The probability of Hoffman rolling a perfect game is 0.000779.
The probability of Hoffman rolling a perfect game is the sum of the probabilities of him rolling a strike in each of the 10 frames.
There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5.
To calculate the probability of Hoffman rolling a perfect game, we must multiply 0.5 by 10, which is equal to 0.5. This gives us a probability of 0.000779 or 0.000779 rounded to six decimal places.
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IN PHOTO⬇️
PLEASE HELP!!!
original equations: S(p) = -200 + 50p and D(p) = 1060 - 55p
please find the equilibrium price and quantity of the two equations. I think I already set up the equation for the equilibrium price here, though no guarantee that I did it right.
Qd = 1060 - 55p = Qs = -200 + 50p
The equilibrium price is 12 and the equilibrium quantity is 400.
How to find the equilibrium price and quantity?It should be noted that on order to fund equilibrium price and quantity, we've to equate the quantity supplied and demanded. This will be:
Qd = 1060 - 55p
Qs = -200 + 50p
Qd = Qs
1060 - 55p = -200 + 50p
Collect like terms
-55p - 50p = -200 - 1060
-105p = -1260
Divide
p = 1260 / 105
p = 12
The equilibrium price is 12
Equilibrium quantity = -200 + 50p
= -200 + 50(12)
= -200 + 600
= 400
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What is this number in standard form? (8×100)+(4×1)+(6×1/100)+(3×1/1,000)
25points
pls helpppppppppppp
Answer:
804.063 is the answer
Step-by-step explanation:
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Is all squares are not parallelogram True or false?
all squares are parallelogram but all parallelogram are not squares
A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1420 downloads of the song, for a total download size of 5436 MB. How many downloads of the high-quality version were there?
Answer: 890 downloads the high-quality version
Step-by-step explanation:
Let x be the number of downloads of the high-quality version
1420-x be the number of downloads of the standard version
So, we have the equation
4.5x + 2.7(1420-x) = 5436
4.5x + 3834 - 2.7x = 5436
1.8x + 3834 = 5436
Subtract 3834 on both sides
1.8x = 1602
x = 890
A wagon is being pulled by a 300-pound force that makes a 30° angle with the ground. what are the horizontal and vertical components of the force vector? a. the horizontal is 150 pounds, and the vertical is 260 pounds.b. the horizontal is 260 pounds, and the vertical is 150 pounds. c. the horizontal is 346 pounds, and the vertical is 600 pounds.d. the horizontal is 600 pounds, and the vertical is 346 pounds.
Answer: B
Step-by-step explanation: TRUST
The horizontal component of the force vector is 260 pounds, and the vertical component is 150 pounds. (Option B).
How to Solve for the Component of the Force Vector?To find the horizontal and vertical components of the force vector, we can use trigonometry. The horizontal component is the force acting in the direction parallel to the ground (x-axis), and the vertical component is the force acting in the direction perpendicular to the ground (y-axis).
Given that the force is 300 pounds and makes a 30° angle with the ground, we can calculate the components as follows:
Horizontal component (F_horizontal) = Force * cos(angle)
Vertical component (F_vertical) = Force * sin(angle)
Inserting in the values:
Horizontal component (F_horizontal) = 300 pounds * cos(30°)
Vertical component (F_vertical) = 300 pounds * sin(30°)
Now, let's calculate:
Horizontal component (F_horizontal) = 300 pounds * 0.866 (rounded to 3 decimal places, cos(30°) ≈ 0.866)
F_horizontal ≈ 259.8 pounds
Vertical component (F_vertical) = 300 pounds * 0.5 (rounded to 3 decimal places, sin(30°) ≈ 0.5)
F_vertical ≈ 150 pounds
Therefore, the required components of the force vector are approximately 260 pounds and 150 pounds.
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the model shows that 1 3/5 ÷ 4/5 =2 what would happen if you divide by 2/5 instead of 4/5
What would happen is the result would increase by a factor of 2. The result of dividing the fractions will be 4.
Division of fractionsFrom the question, we are to determine what would happen if we divide by 2/5 instead of 4/5
That is,
We are to carry out the division operation
1 3/5 ÷ 2/5
Evaluating
1 3/5 ÷ 2/5
8/5 ÷ 2/5
8/5 × 5/2
= 8/2
= 4
The answer increased by a factor of 2.
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