Answer:
D
Step-by-step explanation:
since
cos(2x) = 1 - 2×sin²(x)
and for x near 0, sin(x) is very similar to x.
f(x)=-2x^2+x-5 find f(5)
f(5) = -50
Hope it helps you...
Two vectors m and n are defined by 3i+4j and n=2i-j. find the angle between m and n
Answer:
[tex]{ \tt{m.n = |m| |n| \cos( \theta) }} \\ { \tt{ (3 \times 2) + (4 \times - 1) = (5)( \sqrt{5}) \cos( \theta) }} \\ { \tt{ \cos( \theta) = \frac{0.4}{ \sqrt{5} } }} \\ \theta = 79.7 \degree[/tex]
factor the polynomial
-x5+36x3-22x2-147x-90
Answer:
-(x+6)(x+1)^2(x-3)(x-5)
Step-by-step explanation:
Ayúdenme con esta multiplicación de polinomio por favor
(2×+3y)(-4ײy-2×y²)
Answer: welcome to brainly
Step-by-step explanation:
Hello there! My name is agenthammerx, a Master Answerer and Engagement Team Member here on Brainly. I am here to welcome you to the site! Thank you for taking initiative to check out Brainly and for posting your first question! The Brainly Community welcomes you. If you have any questions regarding anything about the site, please don’t hesitate to reach out to me! I will try my best to help you and answer your question or check out our help center at https://faq.brainly.com/
Consider the following data representing the price of refrigerators (in dollars).14051405, 11211121, 13391339, 10961096, 12991299, 14011401, 11381138, 11491149, 12231223, 10711071, 13991399, 14001400, 12421242, 13181318, 11011101, 10651065, 14281428, 12251225, 13501350, 13581358, 13121312Copy DataPrice of Refrigerators (in Dollars)Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency1049–1118 1119–1188 1189–1258 1259–1328 1329–1398 1399–1468 Step 2 of 7 : Determine the frequency of the fifth class.
Answer:
3
Step-by-step explanation:
Given the data:
1405, 1121, 1339, 1096, 1299, 1401, 1138, 1149, 1223, 1071, 1399, 1400, 1242, 1318, 1101, 1065, 1428, 1225, 1350, 1358, 1312
Using the intervals:
Class interval ___ Frequency
1049–1118 ________ 4
1119–1188 ________ 3
1189–1258 ________3
1259–1328 _______ 3
1329–1398 _______ 3
1399–1468 _______ 5
From the table ; the fifth class is the interval :
1329 - 1398 and it has a frequency of 3
According to this map of railroads in 1890, what part of country were most
railways concentrated?
Answer:
In 1890, America's railroad linked mainly through the north and south rarely in the west if at all.
A number is multiplied by 5 and the answer when divided by 3 gives 1315 . what is the number ?
Answer:
5×789/3
Step-by-step explanation:
According to the question you could simplify the above numbers .
Answer:
789
Step-by-step explanation:
let the number=x
[tex]\frac{5x}{3}=1315\\5x=1315 \times 3=3945\\x=\frac{3945}{5}=789[/tex]
If mZACB = 180°, and m2DCB = 1350,
then mZDCA = [? ]°
Answer:
m<DCA=45°
Step-by-step explanation:
m<DCA=m<ACB-m<DCB
m<DCA=180°-135°
m<DCA=45°
The perimeter of a collage basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions? HELP MEEEEE
Answer:
width = 17 m ; length = 31 m
Step-by-step explanation:
w = width
l = length
perimeter of a rectangle = (length + width) * 2
l = 14 + w
(14 + w + w) * 2 = 96
(14 + 2w) * 2 = 96
28 + 4w = 96
4w = 68
w = 17 m
l = 14 + 17 = 31 m
Which system of linear inequalities has the point (3, -2) in its solution set?
Answer:
None of the given system of linear inequalities
Step-by-step explanation:
Given
[tex](x,y) =(3,-2)[/tex]
Required
The line inequalities with the above solution
The first set of linear inequalities, we have:
[tex]y < -3[/tex]
[tex]y \ge \frac{2}{3}x - 4[/tex]
[tex]y < -3[/tex] implies that the values of y is -4,-5.....
While [tex](x,y) =(3,-2)[/tex] implies that y = -2
Hence, the first set is wrong
The second set of linear inequalities, we have:
[tex]y > - 2[/tex]
[tex]y \ge \frac{2}{3}x - 4[/tex]
[tex]y > - 2[/tex] implies that the values of y is -1,0.....
While [tex](x,y) =(3,-2)[/tex] implies that y = -2
Hence, the second set is wrong
The system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.
What are systems of linear inequalities?A system of linear inequalities is known to be a composition of linear inequalities that can be found in the same variables.
The graph that is showing y > -3; y ≥ 2/3x - 4
-2 > -3 is true
y ≥ 2/3x - 4
-2 ≥ -2 is true
Therefore, y > -3; y ≥ 2/3x - 4 has the point (3, -2) in its solution set.
Learn more about linear inequalities from
https://brainly.com/question/12649320
on monday, sammy the storekeeper decided the increase the price of avocados by 20%. on tuesday he increases this price by another 25%. what percent of the original avocados after both increases? on Wednesday, sammy decides to return the avocados to their original price. by what percent must he decrease the tuesday price?
Answer:
I think 55%
Step-by-step explanation:
Answer:
Increases = 50%On Wednesday, sammy must decrease 50% to return to original priceStep-by-step explanation:
price on monday go to: 100% + 20% = 120% = 1,2 x first price
price on tuesday go to: 125% of 120% = 1,25 x 1,2 = 1,5 x first price
Increases = 50%
on Wednesday, sammy must decrease 50% (of price after second increases) to return to original price
For example for understanding:
If original price is $100
firs increase: new price: $100 + $20 = $120
second increase: new new price: $120 + $30 = $150
final price - original price = $150 - $100 = $50
And icreases/original = $50/$100 =0,5 = 50%
For return to orignial price, sammy must have to reduce 50% the price of avocados in wednesday
For f(x) = 4x2 + 13x + 10, find all values of a for which f(a) = 7.
The solution set is ???
i keep getting -2, -1/5 ... but it’s telling me it’s wrong. help!.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Answer:
0.84
Step-by-step explanation:
4x2+13a+10=7
13a=7-10-8
13a=-11
a=-11:13
a=0.84
Need the answer plz.
Need answers please offering 30 points
Answer:
yefeihuerijohiftv3ugrhoerfujfy
Step-by-step explanation:
One 8.3 ounce can of Red Bull contains energy in two forms: 27 grams of sugar and 80 milligrams of caffeine. One 23.5 ounce can of Jolt Cola contains 94 grams of sugar and 280 milligrams of caffeine. Determine the number of cans of each drink that when combined will contain 457 grams sugar and 1360 milligrams caffeine. We need cans of Red Bull, and cans of Jolt.
oliver walks 5/8 of a mile in 1/6 of an hour. What is his unit rate in miles per hour?
Answer:
3.75 miles per hour
Step-by-step explanation:
(5/8)/(1/6)=3.75 mph, or you could do 5/8 x 6, since 1/6 x 6 equals one hour
Answer:
3 3/4 miles per hour
Step-by-step explanation:
Take the miles and divide by the hours
5/8 ÷ 1/6
Copy dot flip
5/8 * 6/1
Rewriting
5/1 * 6/8
5/1 * 3/4
15/4
3 3/4
Mr. Mason’s class is going on a field trip. There are 27 students. There will be 1 adult for every 9 students. Mr. Mason wants to know how many adults (n) are needed for the field trip. Which of the following equations should he use?
A. 9n + 27
B. 27 – 9n
C. 9n = 27 - 1
D. 9n = 27
Answer:
D. 9n = 27
Step-by-step explanation:
If we need one adult for every 9 students, we can represent that as 9n:
if n is the number of adults.
Because we have 27 students, the equation 9n = 27 works.
A better way of formatting the equation is:
n = 27/9
Because it directly shows what the number of adults is, but with some reformatting, it is clearly the same equation.
Find the time required for an investment to double in value if invested in an account paying 3% compounded quarterly.
Answer: [tex]6.12\ \text{years}[/tex]
Step-by-step explanation:
Given
Rate of interest is [tex]r=3\%[/tex] compounded quarterly
So, annually it is [tex]r=12\%[/tex]
Suppose [tex]P[/tex] is the Principal and A is the amount after certain time period.
Amount in Compound interest is given by
[tex]\Rightarrow A=P[1+r\%]^t[/tex]
for given conditions
[tex]\Rightarrow 2P=P[1+0.12]^t\\\Rightarrow 2=(1.12)^t\\\\\Rightarrow t=\dfrac{\ln (2)}{\ln (1.12)}\\\\\Rightarrow t=6.116\approx 6.12\ \text{years}[/tex]
It take [tex]6.12\ \text{years}[/tex] to double the invested amount.
The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) +6
Answer:
Graph the same exact curve, but move every y value up 6.
Step-by-step explanation:
A transformation to the y-values is outside of the argument of the function. i.e., outside of the parentheses.
1,547,489 which digit is in the thousandsths place
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Starting from right to left...
9 is in the ones place
8 is in the tenths place
4 is in the hundreds place
7 is in the thousands place.
I hope this helps!
Suppose 180 randomly selected people are surveyed to determine whether or not they plan on voting to reelect the current president. Of the 180 surveyed, 36 reported they will not vote to reelect the current president. Identify the values needed to calculate a confidence interval for the proportion that will not vote to reelect the current president at the 99% confidence level. Then find the confidence interval.
Answer:
(0.123 ; 0.277)
Step-by-step explanation:
Given :
Sample size, n = 180
x = 36
Proportion, p = x / n = 36/180 = 0.2
Confidence interval for sample proportion :
Confidence interval :
p ± Zcritical * √p(1 - p) / n
Zcritical at 99% = 2.576
0.2 ± 2.576 * √0.2(1 - 0.2) / 180
0.2 ± 2.576 * 0.0298142
0.2 ± 0.0768013792
(0.123 ; 0.277)
Sketch a graph of f (x) = −1
Answer:
Step-by-step explanation:
f(x) = -1 is actually the same as y = -1. Find y = -1 on the y axis and then draw a horizontal line through this point. The resulting graph is that called for here.
A girl has 9 skirts, 8 blouses, and 7 pairs of shoes. How many different skirt-blouse-shoe outfits can
she wear? (Assume that each item matches all the others, so she is willing to wear any combination.)
Answer:
She could wear 7 different outfits
Im new to this app!
And im looking for help!!
Please help ASAP!!!
Please!!!!
y=-4x²-8x+1
а<0 so we will be looking for maximum
х=-b/2a=8/-8=-1
у=4+8+1=13
Maximum point (-1;13)
Find the value of a for which there is no term independent of x in the ezlxpansion of
[tex](1 + ax {}^{2} )( \frac{2}{x} - 3x) {}^{6} [/tex]
"no terms independent of x" basically means there is no constant term, or the coefficient of x ⁰ is zero.
Recall the binomial theorem:
[tex]\displaystyle (a+b)^n=\sum_{k=0}^n\binom nk a^{n-k}b^k[/tex]
So we have
[tex]\displaystyle \left(1+ax^2\right)\left(\frac2x-3x\right)^6 = \left(1+ax^2\right) \sum_{k=0}^6 \binom 6k \left(\frac2x\right)^{6-k}(-3x)^k[/tex]
[tex]\displaystyle \left(1+ax^2\right)\left(\frac2x-3x\right)^6 = \left(1+ax^2\right) \sum_{k=0}^6 2^{6-k}(-3)^k\binom 6k x^{2k-6}[/tex]
[tex]\displaystyle \left(1+ax^2\right)\left(\frac2x-3x\right)^6 = \sum_{k=0}^6 2^{6-k}(-3)^k\binom 6k x^{2k-6}+a\sum_{k=0}^6 2^{6-k}(-3)^k\binom 6k x^{2k-4}[/tex]
The first sum contributes a x ⁰ term for 2k - 6 = 0, or k = 3, while the second sum contributes a x ⁰ term for 2k - 4 = 0, or k = 2. The coefficient of the sum of these terms must be zero:
[tex]2^{6-3}(-3)^3\dbinom 63 + a\times2^{6-2}(-3)^2\dbinom 62 = 0[/tex]
which reduces to
2160a - 4320 = 0
2160a = 4320
a = 2
A line has a slope of 9 and passes through the point (2, 8). What is its equation in slope-intercept form? Explain?
Answer:
y = 9x-10
Step-by-step explanation:
Slope-Intercept form is y = mx + b where m is the slope and b is the y intercept.
plug in what we are given
8 = 9(2) + b
solve for the y intercept (b)
8=18+b
8-18 = b
-10 = b
plug the slope (m) and y intercept (b) into our formula
y = 9x - 10
A rectangular room is 6 meters longer than it is wide, and its perimeter is 28
meters. Find the dimension of the room.
Answer: width = 4 and length = 10
Step-by-step explanation:
Width = w and length = w + 6
2(w) + 2 (w + 6) = 28
2w + 2w + 12 = 28
4w = 28 - 12
W = 16/4
W = 4 (width)
Length = w + 6
4 + 6 = 10
a rice cooker was sold for $60 after a discount of 60% waht was the usual price of the rice cooker plz simple for class 5 pleeease
Answer:
$150
Step-by-step explanation:
discount=60%
let the price=x
(100-60)% of x=$60
40% of x=60
x=60×(100/40)=150
Of 240 stamps that Harry and his sister collected, Harry collected 3 times as many as his sister. How many did each collected.
Answer:
Harry collected 180 stamps
Harry's sister collected 60 stamps
Step-by-step explanation:
Let X be the number of stamps that Harry's sister colleted.
The number of stamps Harry colleted is 3 time as many as his sister's
⇒ 3*X + X = 240
⇒ X = 60
⇒ 240 - 60= 180
Answer:
180 for harry and 60 for his sister
Step-by-step explanation:
In order to estimate the average time spent per student on the computer terminals at a local university, data were collected for a sample of 81 business students over a one-week period. Assume the population standard deviation is 1.8 hours. If the sample mean is 9 hours, then the 95% confidence interval is
Answer:
(8.608, 9.392)
Step-by-step explanation:
We have the following information
Population standard deviation = 1.8
Sample mean = 9 hours
Sample n = 81
C I = 95%
So level of significance
Alpha = 1-0.95
= 0.05
Z critical at 0.05/2
Z(0.025) = 1.96
The 95% c.i =
9+-(1.96)(1.8/√81)
9+-(1.96)(0.2)
(9-0.392)(9+0.392)
(8.608, 9.392)
This is the confidence interval at 95%.
I hope you find my solution useful. Good luck!!!
