Answer:
x = 4.5
Step-by-step explanation:
thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:
4/9 = 2/x
cross-multiply:
4x = 18
x = 4.5
what is the standard deviation and variance of 10, 10, 10, 10, 13, 20, 23, 32, 32, 32, 32, 47, 50, 53, 60, 60, 63, 72, 72, 72, 72, 80, 82, 91, 93, 99. show solution
Answer:
bro/sis through this solution u can solve ur values
Step-by-step explanation:
To calculate the variance, you first subtract the mean from each number and then square the results to find the squared differences. You then find the average of those squared differences. The result is the variance. The standard deviation is a measure of how spread out the numbers in a distribution are.
I hope this will help you
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)
Answer:
Part A: x = y+45
Part B: 40 125-45 = 80, 80÷2 = 40
Part C: Yes, because 80+45 adds up to 125.
Hope this helps! :)
What is the solution to the system of equations
Answer:
(8,-9)
Step-by-step explanation:
solve the equation for x
x=13/5-3/5y
7x+8y=-16
substitute the given value of x into the equation 7x+8y= -16
7(13/5-3/5y)+8y= -16
solve the equation for y
7(13/5-3/5)+8y= -16
y= -9
substitute the given value of y into the equation x=13/5-3/5y
x=13/5-3/5x(-9)
solve for x
x=8
the ordered pair is (8,-9)
Answer:
The solution to this system of equations is x = 8, and y = -9
Step-by-step explanation:
Firstly we need to use the first equation to represent "x" in terms of "y", so we do the following...
[tex]5x + 3y = 13\\5x = 13 - 3y\\x = \frac{13}{5} - \frac{3}{5}y[/tex]
Now we take the second equation and replace "x" with an equal value in terms of "y" which we know from the previous equation, and just solve for "y".
[tex]7x + 8y = -16\\7(\frac{13}{5} -\frac{3}{5} y) + 8y = -16\\\\18\frac{1}{5} - 4\frac{1}{5} y + 8y = -16\\\\3\frac{4}{5}y = -34\frac{1}{5} \\\\y = -34\frac{1}{5} / 3\frac{4}{5} \\y = -9[/tex]
After we found the value of "y" we can find the value of "x" by using any of the two equations, we just have put "-9" instead of "y". For example...
[tex]5x + 3y = 13\\5x + 3(-9) = 13\\5x - 27 = 13\\5x = 13 + 27\\5x = 40\\x = 40 / 5\\x = 8[/tex]
Now we know that the solution to this system of equations is x = 8, and y = -9
1hr left on this test so confused
Which statement is true regarding the functions on the
graph?
Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)
f(-3)=g(-4) 123456789012345
Does it have a solution?
Answer:
It does since lets say X and Y equal 10 it works
Step-by-step explanation:
What are the challenges of similar triangles?
Answer:
There are two types of similar triangle problems; these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Subtract both sides by 130°. Hence; By Angle-Angle (AA) rule, ΔPQR~ΔXYZ.
Step-by-step explanation:
-1/2(-3/2x + 6x + 1) - 3x what is the equivalent expression
Answer:
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the three terms inside parentheses by -(1/2):
(3/4)x - 3x - (1/2) - 3x, or
(3/4)x - 6x - 1/2
The first two terms can be combined, to obtain:
(-5 1/4)x - 1/2, or (-21/4)x - 1/2
4. Change 5 hours to minutes.
300 minutes
ОО
30 minutes
3000 minutes
ОО
3 minutes
Answer:
[tex]{ \tt{1 \: hour = 60 \: minutes}} \\ { \tt{5 \: hours = (5 \times 60) \: minutes}} \\ = 300 \: { \bf{minutes}}[/tex]
Cedric sends text messages at a constant rate of 5 messages per 1 hour. What equation would be used to represent this situation?
Answer:
...........................I would be I don't know
What is the slope of the line 3x -9y =4?
Answer:
1/3
Step-by-step explanation:
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
Here,
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
[tex] \\ [/tex]
Find the common ratio of the geometric sequence -13, 117, -1053,...
Answer:
-9
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous number:
117/-13
= -9
So, the common ratio is -9.
4+2(x–4)=–7(x+7)
....Whats the answer? NEEDED ASAP
Answer:
-5
Step-by-step explanation:
4+2(x-4) = -7(x+7)
First, work out parenthesis: 4+ 2x-8 = -7x -49
Combine like terms: 2x-4= -7x-49
now isolate x by first adding 49 to each side: 2x+45= -7x
Then subtract 2x from each side: 45= -9x
Last, divide both sides by -9:
x= -5
Answer:
The answer is negative five or -5.
Step-by-step explanation:
First, you need to distribute your equation and at the end, the -4 should be just 2x - 8.
Second, subtract the numbers 4 and -8, which will equal to -4.
Third, rearrange your terms. Those terms would be -4 + 2x, so it should be 2x - 4.
Fourth, distribute again but with -7(x + 7) and you should get -7x - 49.
Fifth, add four to both sides of your equation. It should be like 2x - 4 + 4 = -7x - 49 + 4.
Sixth, add the numbers for the both sides. Therefore, you have 2x = -7x - 45.
Seventh, add 7x to both sides of the equation. You add it to 2x and -7x - 45 + 7x.
Eighth, simplify by combining like terms which you get 9x = -45.
Ninth, divide both of the sides of your equation by the same term. Your number to use when diving is 9.
Tenth, simplify but cancel terms that are both the numerator and denominator. Then you divide the numbers and get -5.
is this an expression or an equation? 4a + 3b-6cx9
Answer:
Expression
Step-by-step explanation:
Given expression :
4a+3b-6cx9
So this is expression not equation because equation consist zero on the righ side
Example: ax+b=0 (This is equation )
And
ax+b (This is expression)
The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years
Answer:
The half-life of the substance is of 1600 years.
Step-by-step explanation:
Amount of the substance:
The amount of the substance after t years is given by the following equation:
[tex]C(t) = A(0.999567)^t[/tex]
In which A is the initial amount.
Find the half-life:
This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So
[tex]C(t) = A(0.999567)^t[/tex]
[tex]0.5A = A(0.999567)^t[/tex]
[tex](0.999567)^t = 0.5[/tex]
[tex]\log{(0.999567)^t} = \log{0.5}[/tex]
[tex]t\log{0.999567} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]
[tex]t = 1600[/tex]
The half-life of the substance is of 1600 years.
Factor this trinomial completely. 2x2 + 6x + 4 O
A. 2(x-2)(x + 1)
B. 2(x + 2)(x+1)
c. 2(x + 2)(x-1)
D. 2(x-2)(x - 1)
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 6x + 4[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]
Taking the factor [tex](x+2)[/tex] as common,
[tex] = 2(x + 2)(x + 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
find the area of the triangle
Brainliest, 26 points
Jenna picked x amount of oranges. Josh picked twice as many oranges as Jenna, less 3. How many more oranges did Josh pick than Jenna?
3x -3
2x -3
x - 3
3x
Answer:
x - 3
Step-by-step explanation:
Jenna picked x.
Josh picked 2x - 3.
The difference is:
2x - 3 - x
which simplifies to
x - 3
Answer: x - 3
help asap please, will mark brainliest
Answer:
24 cm
Step-by-step explanation:
Answer:
24cm
Step-by-step explanation:
V= 4/3πr³
or, r³= 3/4π ×V= 3/4π× 18432π= 13824
or, r= (13824)^1/3= 24cm
pls help pls help pls help pls help
Answer:
The difference is 3 for 4-7, and 39 for 52-91. So basically its a change of 3 for every 4-7 I think this is what you ask for. Let me explain and show results and then pick what you need.
Step-by-step explanation:
So, we know 4 to 7 is 3.
52 to 91 is 39.
So one is a change in 3. the other is a change is 39.
However, could these be the same, just bigger?
Lets divide the 52 to 91 with a change of 39 by 4 to 7 with a change of 3:
52/4 to 91/7 with a change of 39/3 =
13 to 13 with a change of 13.
So this tells us that the 52 to 91 with a chang eof 3 is 13 times bigger than 4 to 7 with a change of 3.
Hope this helps!
Slope intercept, only need help on number 3. HELP NEEDED ASAP, NO LINKS
Answer:
2) slope=2
y intervept=2
3) slope=1/2
y intercept=-6
4)slope=2
y intercept=4
If y=-0.8 when x=2 find the y when x=3
Eight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?
Answer:
y=80
Step-by-step explanation:
when solve y-intercept let x=0
y= -16(0)2+64(0)+80
y=0+0+80
y=80
(0;80)
Anybody know the answer ?
Answer:
The final speed after collision of the first ball that weighs 4 kg will be 8.5 m/s.
Step-by-step explanation:
M1 = 4
M2 = 2
V1 = 8
V2 = 6
V2f = 5
V1f = ?
Rep. Situation with Momentum formula:
M1*V1+M2*V2 = M1*V1f+M2*V2f
Rearrange:
((M1*V1+M2*V2)-M2*V2f) / M1 = V1f
Calculate:
((44) - 10) / 4 = V1f
V1f = 8.5
factorise fully p^3 + p^2
Answer:
[tex]\huge\boxed{p^3+p^2=p^2(p+1)}[/tex]
Step-by-step explanation:
[tex]p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)[/tex]
Used:
[tex]a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac[/tex]
Pls help 28 pts and brainliest
Answer:
43 units^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
The bottom rectangle is 3 by 11 for an area of 33
The top rectangle is 2 by 5 for an area of 10
Add the areas together
33+10 = 43
Learn with an example
A line that includes the point (1, 2) has a slope of 9. What is its equation in slope-intercept
form?
Answer:
y = 9x + (-7) should be the answer
Factor the expression x^2 +3x-10
Answer:
(x+5)(x-2)
Step-by-step explanation:
x^2 +3x-10
What two numbers multiply to -10 and add to 3
5*-2 = -10
5+-2 = 3
(x+5)(x-2)
Help pls pls pls pls
Answer:
(C).
[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]
ha Dilruba Hai song Kisne gaya hai