Power is often measured in joules of work per second
Point D is the midpoint of AB and point E is the midpoint of BC. Select all of the statements to the right that must be true.
Answer + Step-by-step explanation:
» ABC ≅ DBE
» DE // AC
(properties of the mid-segment of a triangle)
» Length of DE = 1/2 length of AC
(properties of the mid-segment of a triangle)
» ∠BDE = ∠DAC
(Corresponding angles)
vFind the mean and median of the data set. 3, 5, 6, 2, 10, 9, 7, 5, 11, 6, 4, 2, 5, 4
Step-by-step explanation:
2, 2, 3, 4, 5, 5, 5, 6, 6, 7, 9, 10
_
2+2+3+4+5+5+5+6+6+7+9+10 = 64 ÷ 12 = 5.3
_
Mean: 5.3
Median: 5
1. Write the point where the linear equation 3x + 4y = 12 cuts the x-axis.
Answer:
(4,0)
Step-by-step explanation:
The point where the line cuts the x-axis is called the x-intercept.
x-intercept is when y = 0.
So given y = 0,
3x+4(0) = 12
3x = 12
x = 12/3
x = 4
therefore the point is (4,0)
Laura worked 8 hours today. She spent
the time in meetings, on the phone,
and the rest of the time on the computer.
Make a circle graph to show how Laura
spent her work day.
Which equation can pair with x 2y = 5 to create an inconsistent system?
The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.
Hence:
x + 2y = 5.
2x + 4y = 3.
Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.
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Answer:
A
Step-by-step explanation:
Edge.
Sam borrowed $2,000,000 for a
period of four years. his interest
rate is 5%. how much interest will
sam pay in all?
helpp
The total amount Sam will pay in all will be $2,400,000
Simple interest
From the question, we are to determine the interest Sam pays in all
Using the simple interest formula,
I = PRT
From the given information,
P = $2,000,000
R = 5% = 0.05
T = 4
Putting the parameters into the formula,
I = $2000000 × 0.05 × 4
I = $400000
The interest Sam will pay is $400,000
The total amount Sam will pay in all will be $2,000,000 + $400,000
= $2,400,000
Hence, the total amount Sam will pay in all will be $2,400,000
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Answer:
Step-by-step explanation:400000
Bentley leans a 22-foot ladder against a wall so that it forms an angle of 74 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary
The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The Height on the wall till which the ladder reaches is 21.148 ft.
What is Sine (Sinθ)?The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The height of the wall can be found by using the trigonometry ratios, therefore, the height of the wall can be determined as,
Sin(74°) = (Height on the wall)/(Length of the wall)
Sin(74°) = (Height on the wall)/22 ft
(Height on the wall) = 21.148 ft
Hence, the Height on the wall till which the ladder reaches is 21.148 ft.
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Answer:
21.15
Step-by-step explanation:
What is the slope of the line with this equation y = 7x - 3 ? Explain.
Answer:
7
Step-by-step explanation:
y=mx+bm=pendiente
por lo tanto:
pendiente=7
Hii!
__________________________________________________________
Answer:
Slope = 7! ^^
Step-by-step explanation:
Note that the equation is given to us in slope intercept form.
The slope intercept formula is y=mx+c.
m denotes the slope
c denotes the y intercept.
/--------------\
The slope of the line that we are working with is 7.
Remember how I said that the slope of the line y=mx+c is m?
Similarly, the slope of the line y=7x-3 is 7! ^^
--
Hope that this helped! Best wishes.
--
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction A.The coefficient of the solution is 6.4, the difference of the original coefficients. B.The exponent of the solution is –12, the difference of the original exponents. C.The coefficient of the solution must be greater than or equal to one but less than 10. D.The quotient is 3.0 × 10-12 E.The solution is a very large number
The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are given below.
(9.6 x 10⁻⁸) and (3.2 x 10⁴)
Then the quotient of the expressions will be
⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)
⇒ (3 x 10⁻⁸) / (10⁴)
⇒ 3 x 10⁻⁸ x 10⁻⁴
⇒ 3 x 10⁻⁸⁻⁴
⇒ 3 x 10⁻¹²
Then the correct option is D.
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PLEASE HELP ME ASAP
Does the series converge or diverge? If it converges, what is the sum? Show your work
The series is a convergence series and the sum of the series is -8/3
The type of the seriesThe series is given as:
[tex]\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}[/tex]
The above series has the following properties:
First term; a = -4Common ratio, r = -1/2Start by calculating the absolute value of the common ratio
Absolute value = |-1/2|
This gives
Absolute value = 1/2
The above value is less than 1.
It means that the series converges.
The sum of the seriesThis is calculated using:
[tex]S_{\infty} = \frac{a}{1 -r}[/tex]
So, we have:
[tex]S_{\infty} = \frac{-4}{1 + \frac 12}[/tex]
Evaluate the sum
[tex]S_{\infty} = \frac{-4}{\frac 32}[/tex]
Evaluate the quotient
[tex]S_{\infty} = \frac{-8}{3}[/tex]
Hence, the sum of the series is -8/3
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What is the solution for x in the equation?
-2x+14+ 10x=34
OA. x = 6
OB. x = 5/2
OC. x = 1/8
OD. x = 2/5
Answer:
B. x = 5/2
Step-by-step explanation:
-2x+14+ 10x=34
-2x+10x=34-14
8x=20
x=20/8 =5/2
55. a rubber ball is dropped from a height of 60 feet. if it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.
The required total distance the ball travels, approximately, is 180 feet.
Let's denote the height of the first fall as a (initial height of 60 feet), and the distance covered during each rebound as r (two-thirds the distance of the previous fall).
The first fall distance (a) is 60 feet.
The first rebound distance (r) is (2/3) * 60 feet.
The total distance covered during the first fall and rebound cycle is:
60 + (2/3) * 60 = 60 + 40 = 100 feet.
Now, for the subsequent cycles, the ball will continue to fall and rebound in the same pattern:
Second fall distance = r * a
= (2/3) * 60
= 40 feet.
Second rebound distance = r*(2/3) * 60
= (2/3) * 40
= 80/3 feet.
The total distance covered during the second fall and rebound cycle is:
40 + (80/3) ≈ 66.67 feet.
The pattern will continue for the subsequent cycles.
To represent this as an infinite geometric series, we can write:
Total distance = [tex]a + (a * r) + (a * r^2) + (a * r^3) + ...[/tex]
Where:
a = 60 feet (height of the first fall)
r = 2/3 (rebound factor)
Using the formula for the sum of an infinite geometric series:
Total distance = a / (1 - r)
Total distance = 60 / (1 - 2/3)
Total distance = 60 / (1/3)
Total distance = 60 * 3
Total distance = 180 feet.
Therefore, the total distance the ball travels, approximately, is 180 feet.
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Part B
What is the area of the target that earns at least 30 points on a throw?
Select the correct from the drop-down menu.
the area is ____ square inches.
a) 16
b) 49
c) 121
d) 144
The area of the target which earns 30 points on a throw.
Solution:[tex]\huge\boxed{Formula: a= \pi{r}^{2}}[/tex]
[tex]4+3[/tex]
[tex]=7[/tex]
Let's solve
We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.
[tex]a={7}^{2}[/tex]
[tex]\large\boxed{a= 49 \pi\: {in}^{2}}[/tex]
Hence, the area of the target which earns 30 points on a throw is 49π square inches.
Answer= Option B
Add the polynomials.
(3x^2+5x−3)+(4x^2+2x)
7x^2+7x−3
7x^2+5x+5
3x^2+9x−1
x^2+5x−3
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=
Answer:
X=1 and Y=4
By counting eacht vetmrtical divided units
Are the equations 5x=24+2x and 3x=24 equivalent?
Answer:
Yes they are.
Step-by-step explanation:
By simply moving 2x from the LHS to the RHS we'll get it's equivalent to be 3x.
i.e 5x - 2x = 3x
Please help soon!!!!!!
Solving the exponential function, it is found that the times that will take to have the desired measures are given by:
a) 3.6 hours.
b) 38.51 hours.
c) 56.98 hours.
What is the exponential function for the amount of Carbon-10 after t hours?The function is given by:
[tex]A(t) = 140(0.5)^{\frac{t}{19.255}}[/tex]
Solving for t, we have that:
[tex](0.5)^{\frac{t}{19.255}} = \frac{A(t)}{140}[/tex]
[tex]\log{(0.5)^{\frac{t}{19.255}}} = \log{\frac{A(t)}{140}}[/tex]
[tex]\frac{t}{19.255} = \frac{\log{\frac{A(t)}{140}}}{\log{0.5}}[/tex]
[tex]t = 19.255\frac{\log{\frac{A(t)}{140}}}{\log{0.5}}[/tex]
In item A, we have that A(t) = 123, hence:
[tex]t = 19.255\frac{\log{\frac{123}{140}}}{\log{0.5}}[/tex]
t = 3.6 hours.
In item B, we have that A(t) = 35, hence:
[tex]t = 19.255\frac{\log{\frac{35}{140}}}{\log{0.5}}[/tex]
t = 38.51 hours.
In item C, we have that A(t) = 18, hence:
[tex]t = 19.255\frac{\log{\frac{18}{140}}}{\log{0.5}}[/tex]
t = 56.98 hours.
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Can * x ^ 2 + 25 be factored using a difference of two squares?
No it can't be factored , whenever there is addition between two squares , the expression can't be factored
There are 4 quarters, 5 nickels and 3 dimes in a jar. One coin is randomly drawn,
replaced and then another coin is drawn.
What is the probability of getting a quarter then a nickel?
5/36
9/12
9/144
1/5
Answer:
[tex]\displaystyle\frac{5}{36}[/tex]
Step-by-step explanation:
Probability is used to find how likely an outcome is to happen. Probability can be expressed as a fraction with the total outcomes as the denominator and the number of successful outcomes (what you want to happen) as the numerator.
Sample Size
The sample size is the number of possible outcomes. In this case, the sample size will be the total number of coins. To find the sample size we need to add together all of the coins.
4 + 5 + 3 = 12This means that the sample size is 12. For this type of probability, the sample size will serve as the denominator for each probability.
Replacement
In the question, it is stated that coins are replaced. This means that the sample size will not change at any point. So, the denominator will be the same for every probability.
Creating Probability Fractions
We are looking for the probability of getting a quarter and nickel, so we need to find the fractions that represent both situations.
First, let's find the quarter. As stated in the first paragraph, the number of successful outcomes is the numerator. There are 4 quarters, so 4 is the number of successful outcomes. Therefore, 4 will be the numerator. Then, 12 will be the denominator because 12 is the sample size.
[tex]\displaystyle\frac{4}{12}[/tex]Next, we need to find the probability of a nickel. Since there are 5 nickels, there are 5 successful outcomes. Then, the sample size is still 12 because there is replacement.
[tex]\displaystyle\frac{5}{12}[/tex]Complex Probability
Now we have the probability of both a quarter and nickel alone. However, this question asks about the probability of both, so this is an example of complex probability. To find complex probability, you have to multiply each probability together.
[tex]\displaystyle\frac{4}{12} *\frac{5}{12}=\frac{20}{144}[/tex]To reach the final answer we have to simplify the answer.
[tex]\displaystyle\frac{20}{144} =\frac{5}{36}[/tex]This means that the probability of pulling a quarter and then a nickel is 5/36.
Clare makes a pattern of shapes each shape in the pattern is 1 unit longer and 1 unit taller than the shape before it which picture could show the first three shapes in Clare pattern?
Answer:
triagle
Step-by-step explanation:
it is tringle because because this pattern other is tall and other is short it gona be isocelese triagle
What is the value of x.
Answer:
Step-by-step explanation:
x + x + 36 = 180
2x + 36 = 180
2x = 144
x = 72
Drag the expressions to show the order of their quotients from least to greatest
Answer:
by solving the divisions
Step-by-step explanation:
8/9 ÷ 7/11 = 8/9 × 11/7 = 88/63 = 1.4019/12 ÷ 3/10 = 19/12 × 10/3 =190/36 = 5.2819/12 ÷ 1/15 = 19/12 × 15 = 285/12 = 23.758/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.
now from the solutions you can get the least to greatest
1.40 , 2.96, 5.28 and 23.75
After getting answer in decimal form change it to fraction like how they set the question
I will give brainliest! 40 points!
ling wants to determine the average distance she travels each day in her car. she records the odometer reading, which measures the distance the car has traveled, each morning for a week.
day 1 2 3 4 5 6 7
odometer (mi) 10,150 10,211 10,424 10,769 10,884 11,155 11,477
what is the mean distance ling travels each day? show your work.
Answer:
221.16
Step-by-step explanation:
Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.
Answer:
189.57 miles per day.
Step-by-step explanation:
I took the test
A person standing close the the edge on the top of a 80 foot building throws a baseball vertically upward. the quadratic function h(t) = -8t^2 + 32t + 80 models the ball's height above the ground, h(t), in feet, t seconds after it was thrown.
How do I efficiently determine...
-- how many seconds it takes until the ball reaches max height
-- the maximum height
-- how many seconds it takes until the ball hits the ground
without graphing?
The number of seconds it takes until the ball reaches max height is 2 seconds and the maximum height is 112 feet, and the number of seconds it takes until the ball hits the ground will be 6.9 seconds.
What is a projectile motion?When a body is thrown in the air then the motion under the gravity is known as projectile motion.
A person standing close the the edge on the top of a 80 foot building throws a baseball vertically upward. the quadratic function
h(t) = -8t² + 32t + 80 models the ball's height above the ground, h(t), in feet, t seconds after it was thrown.
The number of second to reach at maximum height will be
We know that at maximum height, the rate will be zero. Then we have
h'(t) = 0
-16t + 32 = 0
t = 2 seconds
Then the maximum height will be
h(t) = -8(2)² + 32 x 2 + 80
h(t) = -32 + 64 +80
h(t) = -32 + 144
h(t) = 112 feet
Then the number of the seconds to reach at the ground will be
-8t² + 32t + 80 = -80
-8t² + 32t + 160 =0
t² - 4t - 20 = 0
Then t will be
[tex]\rm t = \dfrac{-(4) \pm \sqrt{(-4)^2 - 4 * 1 * -160}}{2*1}[/tex]
Then we have
t = 6.9 and -2.9
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I need help asap please? and this is for the math question? what is the missing angle?
Answer:
the missing angle or the exterior angle is 120
Step-by-step explanation:
180-60=120
Answer:
90 degrees.
Step-by-step explanation:
The square symbol at the unlabeled angle means 90 degrees. Also, a triangle's interior angles equal 180. We already have 30 and 60, so 30+60=90. Now, subtract this from 180. 180-90=90. The answer is 90 degrees.
Hope this helps!
What is the equation of a line with a slope of -3 and a y-intercept of 4?
A. y= 4x+3
B. y= 4x-3
C. y=-3x-4
D. y=-3x+4
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Step-by-step explanation:
We have,
Slope (m) = -3y-intercept (c) = 4We know that,
y = mx+c
y = -3x+4
Hence, option (D) is correct.
The regular price of a tennis racquet is $79.99 and the sale price is $64.99. Find the percent of discount to the nearest whole percent.
Step-by-step explanation:
$79.99 - $64.99 = $15
(79.99 - 64.99)/|79.99| =15
15/79.99 =
15 ÷ 79.99 =
15 ÷ 79.99 × 100/100 =
(15 × 100 ÷ 79.99)/100 =
(1,500 ÷ 79.99)/100
≈18.752344043005/100 =
18.752344043005% ≈18.75%;
State fundamental theorems
Answer:
Step-by-step explanation:
The graph of f(x) = 3.2x-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?
Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
__
To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
__
You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
hat is the slope of the linear relationship shown in this table of values?
x y
-4 11
2 -1
5 -7
By using any two of the points in the table, we will see that the slope is -2.
How to get the slope for the linear relationship?
A general linear relationship is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use the first two points on the table:
(-4, 11) and (2, -1), so the slope is:
[tex]a = \frac{11 - (-1)}{-4 - 2} = 12/-6 = -2[/tex]
Then the slope of the line is -2.
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