Step-by-step explanation:
Problem #1
alright, so it would be 7 1/4-6 3/8=7/8
we can check by adding:
6 3/8+7/8=7 1/4.
Problem #2
we can do the same for this one!
8 1/4-7 3/8=7/8
to check:
7/8+7 3/8=8 1/4
Mark congruent angles. Write down the ratios.
Answer:
ratio=AC/FD=AB/ED=BC/FE
Step-by-step explanation:
Where would (2,-4) go on the coordinate plane?
Answer:
in the 4th quadrant
√4x²-20x+25=5-2x
HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root
Answer:
The equal is valid for x≤ 5/2
Step-by-step explanation:
sqrt(4x²-20x+25)=5-2x
Square both sides
(sqrt(4x²-20x+25))^2=(5-2x)^2
Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2
(4x²-20x+25)=25-20x+4x^2
The left side is equal to the right side
We need to check for extraneous solutions
The break point is 5-2x =0
5 =2x
x =5/2
Check x < 5/2
Let x=0
sqrt(4x²-20x+25)=5-2x
sqrt(25)=5
True
Check x=5/2
sqrt(4x²-20x+25)=5-2x
sqrt(4(25/4)-20*5/2+25)=5-2(5/2)
sqrt(25-50+25)=5-5
0=0
True
Check x>5/2
Let x=10
sqrt(4x²-20x+25)=5-2x
sqrt(4*100-20*10+25)=5-2*10
sqrt(400-200+25)=5-20
sqrt(225) = -15
15 does not equal -15
False
The equal is valid for x≤ 5/2
help!
Write an equation for the line on the graph below:
Answer:
y = 3
Step-by-step explanation:
If you find the values of all the points of the line, it has y as 3.
Feel free to mark this as brainliest :D
Find the exact value
Sin(300-45)
Answer:
sin ( 300 - 45 )
Step-by-step explanation:
sin (300 - 45 )
= - 0. 965
= - 0. 97
WRITE THE SOLUTION TO THE FOLLOWING SYSTEMS
HURRY ILL GIVE BRAINLIEST!!!!!!!
Answer:
1) (2,4)
2) (5,-2)
Step-by-step explanation:
those are the points at which the lines cross making them the solutions to the equations
The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the value of the car, to the nearest cent, after 15 years.
Answer:
equation: 14506.226(0.870)^x
answer: 1796.15
Step-by-step explanation:
Plugging in the tables into your calcuator
a= 14506.226
b= .870
y=ab^x
y= 14506.226(0.870)^x
= 1796.15
The equation of the exponential regression is [tex]\rm y = 14100 \ e^{-0.087x}[/tex]. And the value of a car after 15 years is $ 3,823.53.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars.
The exponential regression equation will be given as
[tex]\rm y = A_o e^{kx}[/tex]
Where A₀ is the coefficient of exponential regression and k is the constant.
For x = 0, the value of y will be $ 14100. Then we have
[tex]\rm 14100= A_o e^{k*0}\\\\ A_o \ \ \ \ = 14100[/tex]
Then the equation will be
[tex]\rm y = 14100 \ e^{kx}[/tex]
For x = 1, the value of y will be $12,929. Then we have
[tex]\rm 12929= 14100 e^{k*1}\\\\ e^k \ \ \ \ = 0.91695[/tex]
Taking ln both sides, then we have
[tex]\begin{aligned} \rm ln\ e^k &= ln \ 0.91695\\\\\rm k*ln \ e &= -0.087\\\\\rm k &= -0.087 \end{aligned}[/tex]
Then the equation will be
[tex]\rm y = 14100 \ e^{-0.087x}[/tex]
Then after 15, the value of a car will be
[tex]\rm y = 14100 \ e^{-0.087*15}\\\\\rm y = 14100 * 0.2712\\\\\rm y = 3823.53[/tex]
More about the exponent link is given below.
https://brainly.com/question/5497425
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
What is the cost when the tow plans cost the same?
Answer:
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
What does the following translation rule mean? (x+3, y-5) *
O
Move left 5 and up 3
Plot the point (3,-5)
Move upside down 3 and a little to the left 5
Move right 3 and down 5
==========================================================
Explanation:
The x+3 means "move right 3". We add 3 to whatever the x coordinate is.
For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.
Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).
----------------
Extra info:
We can write the translation rule as [tex](x,y) \to (x+3, y-5)[/tex]
With this notation, we can then say something like this for example
[tex](x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)\\\\[/tex]
Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".
PLEASE ANSWER THIS
PLEASE URGENT WORK
I M CRYING
Answer:
b=69(alternate angle)
b=37(alternate angle)
determine the solutions to 12x^2 + 10x + 2 = 0 by factoring
Answer:
[tex]x = - \frac{1}{3} , - \frac{1}{2} [/tex]
Step-by-step explanation:
2(6x²+5x+1)=0
2(3x+1) (2x+1)=0
either: 3x+1=0 —> 3x=–1 —> x= –1/3
or: 2x+1=0 —> 2x=–1 —> x = – 1/2
What does growth mean in math
How far will a skier travel in 2 1/2 minutes? Explain how you figured it out
1 minute= 60 seconds
3600 meters 60 seconds would be 1440 traveled
and 1440 + 1440 + 720= 3600
Hope this helps :)
cotx= is also equal to
[tex] \huge\frak{Answer:-}[/tex]
[tex] \rm{cot \: x = cos \: x \: sin \: x}[/tex]
_____________[tex]\huge \mathtt \purple{Answer:-}[/tex]
[tex] \sf \red{cot \: x \: = \: cos \: x \: sin \: x}[/tex]
____________Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.
How to get the area of the trapezoid
Answer:
50
Step-by-step explanation:
The formula for the area of a trapezoid is a+b/2h. a is the top of the trapezoid (5). b is the bottom of the trapezoid(15). h is the height of the trapezoid(5). First you add 5 and 15 together to get 20. Then you divide by 2 to get 10. Now you do 10 x 5 to get 50 as your answer. 5+15/2 = 10(5) = 50
Jordan’s Cat Fern is a finicky eater. Jordan is trying to determine which of two brands of canned cat food Fern prefers.
Answer:
There is significant difference in difference in the amount of food ferns eat ; and the preferred is TAB-a-cat.
(0.216, 5.984)
Step-by-step explanation:
This is a 2 sample t test test problem :
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
x1 = 85.2 ; x2 = 82.1 ; n1 = 31 ; n2 = 30 ; s1 = 3.45 ; s2 = 4.62
The test statistic :
T = (x1 - x2) / √(s1²/n1 + s2²/n2)
T = (85.2 - 82.1) / √(3.45²/31 + 4.62²/30)
T = 3.1 / 1.0466
T = 2.96
Using the Pvalue from Tstatistic calculator :
df = smaller n - 1 = 30 - 1 = 29
Pvalue(2.96, 29) = 0.006075
α = 0.05
Pvalue < α ; We reject the Null and conclude that there is significant difference in difference in the amount of food ferns eat.
99% Confidence interval :
The test statistic :
(x1 - x2) ± Tcritical *√(s1²/n1 + s2²/n2)
Tcritical at 99% = Tcritical(0.01, 29) = 2.756
(85.2 - 82.1) / 2.756*√(3.45²/31 + 4.62²/30)
3.1 ± 2.8844296
Lower boundary = (3.1 - 2.8844296) = 0.216
Upper boundary = (3.1 + 2.8844296) = 5.984
(0.216, 5.984)
Since interval does not contain 0, then, we reject the Null.
Stephen, Gavin and Jim share
some sweets in the ratio 3:1:2.
Stephen gets 24 sweets. How many
sweets are there altogether?
Answer:
There are 48 sweets altogether.
Step-by-step explanation:
Ratio: 3:1:2
Stephen: 24 sweets
24/3 = 8
Fill in ratio.
24:8:16
24 + 8 + 16 = 48
Answer:
48 sweets
Step-by-step explanation:
Stephen : Gavin : Jim
3 : 1 : 2
We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).
If Stephen gets 24 sweets, this means
3 parts = 24
So to find 1 part, divide 24 by 3.
1 part = 8 sweets
Now we can find the total by multiplying this by 6.
6 parts = 8 x 6 = 48 sweets.
Professor Stats has 40 students in her statistics class. 24 of the students are male. If she randomly selects 6 of her students at random, without replacement, the probability of selecting 4 men in the sample is
Answer:
the answer is 332
Step-by-step explanation:
quizlet
I need help with all of these ASAP thank you so much
Answer:
C
Step-by-step explanation:
Functions meet the vertical line test:
a vertical line will intersect the graph at most at one point
C doesn't pass the vertical line test and is therefor not a function
Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected. (a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. true false
Answer:
True
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.
A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.
Fill in the missing monomials: 49y4x6= (_______)2
Answer:
7y²x³
Step-by-step explanation:
when taking an exponent to an exponent multiply them
(7y²x³)² = 49y⁴x⁶
Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4
Answer:
A.5+4<9+1
B. 5+4<10+0
C. 5+4>5-4
D. 5+4=15-4
Step-by-step explanation:
A. 9<10
B. 9<10
C. 9>1
D9=9
Answer:
A=10>5+4
B=10>5+4
C=1<5+4
D=11>5+4
Step-by-step explanation:
FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS
Answer:
c.153 degrees
Step-by-step explanation:
hope it helps
Linear pairs are supplementary
m<ABD+27=180m<ABD=180-27m<ABD=153°Can someone please help?
Answer:
It is closer to 7,000 than 8,000
What is the diameter
Answer:
From J to K is the diameter
Find the sum and Express it in simplest form. (u^3+3u^2+3) + (-6u^3-8u^2)
Answer:
-5u^3 - 5u^2 + 3.
Step-by-step explanation:
(u^3 + 3u^2 + 3) + (-6u^3 - 8u^2)
= u^3 + 3u^2 + 3 - 6u^3 - 8u^2
= u^3 - 6u^3 + 3u^2 - 8u^2 + 3
= -5u^3 - 5u^2 + 3.
Three (3) people share a car for a period of one year and the mean number of kilometres
traveled by each person is 152 per month
How many kilometres will be travelled in a year?
Answer:
456
Step-by-step explanation:
It is shared by 3 people so it will be multiplied by 3.
Answer:
5472
Step-by-step explanation:
If the mean between three people is 152 kilometers per month, the distance travelled in a month is 152 * 3 = 456.
Then we multiply 456 by 12 to get the number of km travelled in a year.
456 * 12 = 5472
Leah asked for one and 1/2 pounds of fish at the grocery store which value is equivalent to 1 1/2
Answer:
3/2
Step-by-step explanation:
make into a improper fraction
Find the volume of the cylinder?
Answer:
1520.53
Step-by-step explanation:
Hope it helps u
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