Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
18.
Find the common difference of the arithmetic sequence.
–2, [tex]-1\frac{4}{5}[/tex], [tex]-1\frac{3}{5}[/tex], [tex]-1\frac{2}{5}[/tex], . . .
A. [tex]-\frac{1}{5}[/tex]
B. -5
C. 5
D. [tex]\frac{1}{5}[/tex]
Answer:
1/5 or 0.2
Step-by-step explanation:
Answer:
The common difference is or 0.2
Step-by-step explanation:
Given:
Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,
First term = a₁ = -2
Second term = a₂ =
Third term = a₃ =
Fourth term = a₄ =
To Find:
Common Difference = d = ?
Solution:
Formula for Common Difference d ,
∴
The common difference is or 0.2
Miranna teaches gymnastics lessons at summer
camp. She is paid $12.50 per hour.
If Miranna were offered a raise of 100% of her hourly
rate, how much would she be paid?
PLEASE HELP! It’s super important!
Answer:
2. a. - 1b.[tex] - \frac{2}{3} [/tex]3. a. 4b. 6Step-by-step explanation:
[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]
[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]
= -1 (Ans)
[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]
Since,
[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]
Hence,
[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]
[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]
[tex] = - \frac{2}{3} (ans)[/tex]
[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]
[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]
= 10 - 2 × 3
= 10 - 6
= 4 (Ans)
[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]
[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]
[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]
= 70 - 64
= 6 (Ans)
NEED HELP ASAP! DUE IN 3 MINUTES!!!
an electrician charges a $25 fee for a repair plus $15 per hour. Write an equation to model the total cost Y of a repair that takes X hours
In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of change in the number of ducks? Round your answer to the nearest whole percent.
Answer:
60 percent
Step-by-step explanation:
number of ducks in morning=80
ducks in after noon=135
for percentage
80/135=0.5925=0.60
0.60*100=60 percent
Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.
Answer:
the quotient of a number y and negative three point six is less than six point five.
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
What is the value of X? ______ degrees.
Answer:
48 degrees
Step-by-step explanation:
180-85-47=x
x=48
The outcome of the first event does affect the outcome of the second, so that the probability is changed
Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
What is the range of an exponential parent function with base 2?
Answer: I believe its c
Step-by-step explanation:
f(x) is (0,+inf)
what is the value of x and y?
Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.
Step-by-step explanation:
Please help and NO LINKS I WILL REPORT YOU IF ITS A LINK
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.
What is the first error she made in computing the variance?
A.) Emi failed to find the difference of 89 - 78 correctly.
B.) Emi divided by N - 1 instead of N.
C.) Emi evaluated (46 - 78)2 as -(32)2.
D.) Emi forgot to take the square root of -135.6.
Answer: Choice C) Emi evaluated (46-78)^2 as -(32)^2
Explanation:
The "46-78" is inside the parenthesis, so the result must also stay in the parenthesis. This means (46-78)^2 would become (-32)^2. The negative must be inside the parenthesis as well. Squaring the "-32" leads to a positive result, so every item being added is positive after the squaring operations are applied.
Kevin and Clark each bought a new book for $50. Kevin sold his book to the used bookstore for 25% less than the original price. Clark sold her book to the used bookstore for 40% less than the original price. How much more money, in dollars, did Kevin receive for his book than Clark received for her book?
Answer:
i think kevin made $7.50 more than clark
Step-by-step explanation:
25% of 50 is 12.5. 50-12.5= 37.5
40% of 50 is 20. 50-20=30
The temperature drops to a rate of five degrees per hour. Be d the number of degrees that lowers the temperature. Be the number of hours you spend. What is the dependent variable?
Answer:
d, the number of degrees that the temperature was lowered by
Step-by-step explanation:
The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.
Enter the correct answer in the box.
Solve this system of equations.
y=2x-5
y=-2x+3
x=
y=
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
2, -1
Step-by-step explanation:
Help me with these two answers please
Answer:
Step-by-step explanation:
the center is at (0, -2)
radius = [tex]\sqrt{64}[/tex] = 8
A graph of a line has an x-intercept of 4
and a y-intercept of 6. Which equation
represents the line?
A 3x - 2y = 8
B 2x - 3y = -10
C 3x + 2y = 12
D 2x + 3y = 26
thank you!:)
What is the area and perimeter of the equilateral triangle? Round your final answer to the nearest tenth of a square unit.
Answer:
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4. 2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
Answer:
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4. 2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
Drag each scenario to the correct location on the table. Classify the scenarios based on whether they are observational studies, experiments, or surveys. Scenario A: Twenty employees of a company are randomly selected and asked if they would like the company to revise the existing dress code. Scenario B: Analysts at an energy research institute compare the frequency of power outages caused by snowfall in different states over the past decade. Scenario C: To determine and compare the accuracies of pedometer X and pedometer Y, researchers randomly ask consumers to use one of the two pedometers and then analyze the results. Scenario D: At a coffee shop, ten customers are randomly selected each day and asked how many times in a week they visit the shop.
Answer:
have a nice day loves <3
Step-by-step explanation:
picture below
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
A parabola is represented by the equation y = x + 6x - 17.
The x-intercepts of the parabola are
and
The y-intercept of the parabola is
(if necessary, round your answers to the nearest hundredth.)
Answer:
x:(−3+26−−√,0)≈(2.09901951359278,0),(−26−−√−3,0)≈(−8.09901951359278,0).
y:(0,-17)
Step-by-step explanation:
find the focus, axis of symmetry, eccentricity, latus rectum, length of the latus rectum, vertex, directrix, focal parameter, x-intercepts, and y-intercepts of the parabola y=x2+6x−17.
find the volume of the composite figure
lets do this step by step.
First: we need to break this into to prisms.
Next lets say the dimensions:
4 x 2 x 1 and 2 x 2 x 1
now we multiply them and then add them
8 + 4 = 12
volume = 12 cubic units.
Determine the value of x in the figure below:
A
43.23
B
.02
C
48.95
D
31.95
Answer:answer is D
Step-by-step explanation:
what 1 +1x5-5x9 i really need to know this by the next second
Answer: -39
Step-by-step explanation:
Hope this helps.
Find the volume of the cylinder.
Answer:
Step-by-step explanation:
V=πr^2h is the equation for volume of a cylinder.
the radius is half of 50 so 50/2=25.
then 75 is the height so you plug the vaules in
V=(3.14)((25)^2)(75)
then multiply and you get 147187.5 rounded to the nearest whole number that is 147188
hope this helps :)
which line is parallel
Answer:
3x - y = -7
Step-by-step explanation:
put into slope-intercept form the equation becomes y = 3x + 7
parallel lines have the same slope, in this case the slope is 3
Find the missing factor
2x ^ 2 + 5x - 3 = (2x - 1)
Answer:
(x-3)
Step-by-step explanation:
2x²+5x-3=x² +x−6x−3 =x(2x+1)-3(2x+1) =(2x+1)(x-3)
The required missing factor is (x - 3).
Given the equation, 2[tex]x^2[/tex] + 5x - 3 = (2x - 1).
To find the missing factor in the equation 2x^2 + 5x - 3 = (2x - 1), to factorize the quadratic equation on the left side and compare it to the given factor (2x - 1).
The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.
To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to
2[tex]x^2[/tex] + 5x - 3.
To determine the values of a, b, c, and d, we can use the FOIL method (First, Outer, Inner, Last). FOIL involves multiplying the first terms, the outer terms, the inner terms, and the last terms of the two binomials.
Factorize the quadratic equation:
2[tex]x^2[/tex] + 5x - 3
(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 5x - 3
Expanding the left side using FOIL:
(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 6x - x - 3
Combining like terms on the right side:
(2x - 1)(cx + d) = 2x( x - 3) -1 (x - 3)
Combining like terms on the right side:
(2x - 1)(cx + d) = (2x - 1)(x - 3)
By comparing the coefficients of the terms on both sides of the equation, determine the missing factor. Observe that the coefficient of x^2 is 2 on both sides, and the coefficient of x is -1 on both sides.
Therefore, the missing factor is (x - 3).
Hence, the complete factorization of the quadratic equation
2[tex]x^2[/tex] + 5x - 3 = (2x - 1)(x - 3).
Learn more about factoring quadratic equations click here:
https://brainly.com/question/30398551
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Find the surface area and volume of the prism 5ft 4ft 3ft
Surface Area: 94 ft
Volume: 60 ft
I'm really confused about this question
Answer:
A. 10 ft
Step-by-step explanation:
Since dimensions of the wall are similar to the dimensions of the window.
Therefore, lengths and widths of wall and window would be in proportion.
So,
[tex] \frac{h}{2} = \frac{24.5}{4.9} \\ \\ h = \frac{24.5 \times 2}{4.9} \\ \\ h = \frac{49}{4.9} \\ \\ h = \frac{490}{49} \\ \\ h = 10 \: ft[/tex]
help as soon as possible
Answer: A. 117,600 people.
Answer:
Its 119,318
Step-by-step example:
subtract 100 from 12 you get 88 then do 88% of 119,318, you get 104,999.84. Round 104,999.84 up and you get 105,000.
Mikhaila had 9 meters of ribbon. She cut it into pieces that were each
1/3 meter long with no ribbon left over. What was the total number of
1/3 meter pieces she made?
Answer:
klfajndxjfasisfcbweauorfochwszhfshsfqsahfwhnlsljfjlashegfchdhefgwsdgrvefdcgbvdqjejjsjjjdkdkk112132w434
Step-by-step explanation:
5uwsuhsrhudhusfhushzoihflishhghwslhkfwdilhtfhwhshfhhwajzhfshadzkhfcshfuhu3eyryyaurjfsdajsfjfjdgagdgsgafdfzdUDSIUIYAYIODQALHPOEPOWIAYISDHAZAHDCGUQEIUSD8RFHGSHXARAGIUROIHTNDAUFCISBQ3AYHQWEID
Answer:
3 meter
Step-by-step explanation: it ez