Answer:
D
Step-by-step explanation:
(3x³ - 10x² + 13x) - (5x³ + 4x² - 9x)
3x³ - 10x² + 13x - 5x³ - 4x² + 9x Change all terms after the subtraction sign to
the opposite sign (definition of Subtraction)
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x) Group like terms together
-2x³ - 14x² + 22x
Select All equivalent expressions to 4( x + 2)
Answer:
3x 3-x and 3+x
Triangle in space with vertices P= (1, 0, 0), Q = (0,1,0), R=(0, 0, 2), find angle at P P=
Answer:
71.6°
Step-by-step explanation:
The angle can be found from the dot product of PQ and PR.
PQ·PR = |PQ|×|PR|×cos(α)
where α is the angle between the two segments.
cos(α) = (Q -P)·(R -P)/(|Q -P|×|R -P|)
= ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)
= (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10
α = arccos(1/√10) ≈ 71.6°
The angle at P is about 71.6°.
_____
Additional comment
The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.
a*3a^(2) help quickly
Lashonda finished a race in 5 minutes. How many seconds is this
Answer:
300 seconds
Step-by-step explanation:
There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.
5 x 60 = 300
-hope it helps
Answer:
360 sec
Step-by-step explanation:
this is because 60sec is one mintute
so 60x5= 360
plz help me to answer
For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x
Do the same thing for 10ft
No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
Step-by-step explanation:
The Pythagorean theorem is:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the hypotenuse.
The two wires in the sketch are the hypotenuse so we just use the formula
let the wires=x
So:
[tex] {x}^{2} = {12}^{2} + {6}^{2} [/tex]
[tex] {x}^{2} = 144 + 36[/tex]
[tex] {x}^{2} = 180[/tex]
[tex]x = \sqrt{180} [/tex]
[tex]x = 13.42[/tex] feet
Find the total area of the shape shown below in square feet. Enter only the number.
16 feet
5 feet
12 feet
9 feet
7 feet
7 feet
The solution is
Answer:
129, because you split the shape into two find the area of them separately and then add them up
pls help me, pls pls plss help
Answer:
1. given
2. inscribed circle theorem
3. substitution
4. definition of congruent angles
Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
Find the arc length for arcs of circles as follows:
radius: 12 inches
central angle: radians
- - -
Answer:
≈ 11.78 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{\frac{\pi }{4} }{2\pi }[/tex] ( cancel 2π on numerator/ denominator )
= 15 × [tex]\frac{\pi }{4}[/tex]
= [tex]\frac{15\pi }{4}[/tex]
≈ 11.78 in ( to 2 dec. places )
are the following expressions equivalent 5(2z+3) and (5x2)+(z+3)
Answer: yes they are
Step-by-step explanation:
Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How long will it take her account to reach a balance of $2000 if there are no other deposits or withdrawals.
It will take 29 years to reach $725 to $2000 compounded twice in a month.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded twice each month is,
A = P(1 +(r/24)/100)²⁴ⁿ.
Given, A = 2000, P = 725, r = 3.5.
∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.
(1 + (3.5/24)/100)²⁴ⁿ = 2.76.
(1.00146)²⁴ⁿ = 2.76.
24n = [tex]log_{1.00146}2.76[/tex].
24n = 695.87.
n = 29 years.
learn more about compound interest here :
https://brainly.com/question/14295570
#SPJ2
A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cereal contain more than 368 grams of cereal? Test hypothesis at the 5% significance level, outline all steps involved. (9mks)
Using the t-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.
At the null hypothesis, it is tested if the average box of cereal does not contain more than 368 grams, that is:
[tex]H_0: \mu \leq 368[/tex]
At the alternative hypothesis, it is tested if it contains, that is:
[tex]H_1: \mu > 368[/tex]
We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.In this problem, the values of the parameters are: [tex]\overline{x} = 372.5, \mu = 368, s = 15, n = 25[/tex].
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}[/tex]
[tex]t = 1.5[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, with 25 -1 = 24 df, is of [tex]t^{\ast} = 1.71[/tex].
Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.
You can learn more about the use of the t-distribution to test an hypothesis at https://brainly.com/question/13873630
[(-4 2/7) x (-18)] x (-3 8/9) x (-1)
Answer:
300
Step-by-step explanation:
[(-4 2/7) x (-18)] x (-3 8/9) x (-1)
= [-30/7 x -18] x -35/9 x -1
= 540/7 x -35/9 x -1
= -300 x -1
= 300
Answer:
check if the question I used is right or not
expand and simplify
5(3y+2)+5(5y+2)
Answer:
Step-by-step explanation:
15y + 10 + 25y + 10
Answer:
Solution here,
Step-by-step explanation:
For simplify
First multiply the terms inside the brackets with the term outside the bracket i.e 5.
5(3y+2)+5(5y+2)
15y+10+25y+10
35y+20
What is m∠JNK? Enter your answer in the box.
*NOT a question, I had trouble with this on my test and couldn't find anyone that had asked, so here is the correct answer. Merry Christmas everyone! :-)
Answer:
Merry Christmas too!!
Step-by-step explanation:
Stay safe lovelots
#LEARN WITH BRAINLY
Samuel buys office supplies for his home buissness
Answer:
What supplies?
Step-by-step explanation:
Birdseed costs $0.57 a pound and sunflower seeds cost $0.87 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.81 per pound. How many pounds of each type of seed should she use?
Step-by-step explanation:
x = pounds birdseed
y = pounds sunflower seeds
x + y = 30
0.57x + 0.87y = 30×0.81
with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.
from the first equation we get
x = 30 - y
and we use that in the second equation :
0.57×(30-y) + 0.87y = 30×0.81 = $24.30
17.1 - 0.57y + 0.87y = 24.3
0.3y = 7.2
y = 24
x = 30 - y = 30 - 24 = 6
she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.
f(x) = x – 3
g(x) = x^2 + 1
Find:
f(g(x)) =
PLEASE HELP WILL MARK BRAINLIEST!!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf{f(x) = x - 3}[/tex][tex] \sf f(g(x)) = g(x) - 3[/tex][tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex][tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]you can further simplify to get ~
[tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]Is (-2,-6) a solution of y < 7+ + 8?
Answer:
rthrthrt
Step-by-step explanation:
I need help with this!!!!
Answer:
246b
Step-by-step explanation: i did this
2x +6y = 2
х= 8 - Зу
What is X and Y?
Answer:
no solutions exist
Step-by-step explanation:
We can solve this by using system of equations and using substitution.
2(8-3y)+6y=2 Substitute x=8-3y into the first equation.
16-6y+6y=2 Distribute.
16=2 Simplify.
16 does not equal 2, so there are no solutions.
At the candy store, one pound of candy Cost $6.49. How much would it cost if Joey bought .79 pounds of candy ?
Answer:
5.12
Step-by-step explanation:
1 lb .79 lbs
------------ = -----------
6.49 x dollars
Using cross products
1x = 6.49 * .79
x =5.12 dollars
Use the graph to find the distance between point A and Point E.
Answer:
7
Step-by-step explanation:
can’t figure it out, need help
Answer: 74+39=113. So the answer is 113
Determine the value of the unknown
0 - e = 5
how do I do this word problem?
Answer:
5 weeks
Step-by-step explanation:
John deposits $5 per week and has $10, so his equation is 5x + 10.
Jasmine's equation is 3x + 20.
Make them equal to each other and solve for x:
5x + 10 = 3x + 20
Subtract 10 from each side
5x = 3x + 10
Subtract 3x from each side
2x = 10
Divide each side by 2
x = 5
Answer:
5 weeks
Step-by-step explanation:
John:$10,$15,$20,$25,$30,$35
Jasmine:$20,$23,$26,$29,$32,$35
5 weeks
Approximately what portion of the circle is shaded blue?
A. 2/5
B. 2/3
C. 1/3
Please help me with these proof questions!
Answer:
The answers can be seen in the photo
Please help me find the height of 302 after some seconds?
Step-by-step explanation:
Since the initial velocity of the object is 170 ft/s, the expression for h is given by
[tex]h = -16t^2 + 170t[/tex]
In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as
[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]
This is a quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a = 16, b = -170 and c = 302. Using these values, we get
[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]
[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]
[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]
[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]
This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).
Answer:
Step-by-step explanation: