Answer:
[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]
Answer:
The equation of a perpendicular line to
y =( -1/3 )x+b (b is a normal number)
Step-by-step explanation:
1.Use the slope-intercept form to find the slope.
Tap for more steps...
m = 3
2. the perpendicular line to y=3x+3
must have a slope that is the negative reciprocal of the original slope.
thus,
m perpendicular = −1/3
What is the initial value of the sequence?
1
2
3
8
Answer:
2
Step-by-step explanation:
The initial value is the y value of the first term shown ( when x=1)
y = 2 when x=1
The initial value is 2
Answer:
What is the initial value of the sequence?
1 2 <<<CORRECT 3 8
Step-by-step explanation:
Edge 2021
A company distributes candies in bags labeled 23.6 ounces. The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces . Assuming that the standard deviation is 3.2. At 0.05 level of significance , test the claim that the bags contain more than 23.6 ounces . what is your conclusion about the claim.
Answer:
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
Step-by-step explanation:
A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:
At the null hypothesis, we test if the mean is of 23.6, that is:
[tex]H_0: \mu = 23.6[/tex]
At the alternative hypothesis, we test if the mean is of more than 23.6, that is:
[tex]H_1: \mu > 23.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
23.6 is tested at the null hypothesis:
This means that [tex]\mu = 23.6[/tex]
The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.
This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]
[tex]z = 0.97[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.
Looking at the z-table, z = 0.97 has a p-value of 0.834.
1 - 0.834 = 0.166
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
Answer:
[tex]Expected = 0.09375[/tex]
Step-by-step explanation:
Given
[tex]Balls = 4[/tex]
[tex]n = 4[/tex] --- selection
Required
The expected distinct colored balls
The probability of selecting one of the 4 balls is:
[tex]P = \frac{1}{4}[/tex]
The probability of selecting different balls in each selection is:
[tex]Pr = (\frac{1}{4})^n[/tex]
Substitute 4 for n
[tex]Pr = (\frac{1}{4})^4[/tex]
[tex]Pr = \frac{1}{256}[/tex]
The number of arrangement of the 4 balls is:
[tex]Arrangement = 4![/tex]
So, we have:
[tex]Arrangement = 4*3*2*1[/tex]
[tex]Arrangement = 24[/tex]
The expected number of distinct color is:
[tex]Expected = Arrangement * Pr[/tex]
[tex]Expected = 24 * \frac{1}{256}[/tex]
[tex]Expected = \frac{3}{32}[/tex]
[tex]Expected = 0.09375[/tex]
Solve the equation sin(x° − 20°) = cos(42°) for x, where 0 < x < 90. A. 22 B. 28 C. 62 D. 68
[tex] \sin(x - 20°) = \cos(42°) [/tex]
[tex] \sin(x - 20°) = \sin(90° - 42°) [/tex]
[tex] \sin(x - 20°) = \sin 48°[/tex]
[tex]x - 20° = 48°[/tex]
[tex]x = 48° + 20°[/tex]
[tex]x = 68°[/tex]
______________________________■ HOPE IT HELPS YOU DEAR!!!______________________________Answer:68
Step-by-step explanation:
PLEASE HELP IM TRYING TO FINISH THIS BY NEXT MONDAY AND IVE BEEN STUCK ON THIS
Answer:
Step-by-step explanation:
Choice A is the only one that is applicable.
Answer:
A. F(x) has 1 relative minimum and maximum.
Step-by-step explanation:
[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]
As x and F(x) tend to positive and negative infinity:
[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]
❎So, B and C are excluded.
Roots of the polynomial:
[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]
❎, D is also excluded.
✔, A
Mark all the relative minimum points in the graph.
Please help I don't understand what to do.
Answer:
Step-by-step explanation:
The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).
find the measure of the indicated angle to the nearest degree
Answer:
missing angle= 44°
Step-by-step explanation
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
x is opposite of 19 and 41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°
5+a2+ab-9c if a=5 b=4c=0
5+a2+ab-9c
let's just substitute a with 5, b with 4 and c with 0
5+5*2+5*4-9*0
= 5+10+20+0
= 35
write a linear equation in standard form for the line that goes through(2.-3) and (4 -2)
Answer:
y =1/2x -4
Step-by-step explanation:
x1 y1 x2 y2
2 -3 4 -2
(Y2-Y1) (-2)-(-3)= 1 ΔY 1
(X2-X1) (4)-(2)= 2 ΔX 2
slope= 1/2
B= -4
Y =0.5X -4
NEED ASAP PLZZZ HELP
Answer:
the 1 one will be the answer
Find the values of the unknown angles marked with letters. please help me- it is about alternate angles
100 points!!!
a ?
b ?
c ?
d ?
Answer:
Step-by-step explanation:
Find either c or d first. Those are easy and everything will fall into place after those 2 are found.
c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.
d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.
a and c are same side interior, so they are also supplementary. That means that a = 115°.
b and d are also same side interior, so they are also supplementary. That means that b = 70°.
15= 3-4a what is the value of a in the equation
Answer:
5
Step-by-step explanation:
when 13 is subtracted from 5 we get 8
again when 8=2m
8/2=m
4=m
.
can i please get some help on this one ASAP!
Answer:
This is a 4th degree polynomial!
Step-by-step explanation:
Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.
Hope this helps, good luck! :)
Adrian, Ben and Charlie share some sweets in the ratio 6:3:8
Charlie got 22 more sweets than Adrian.Work out the total amount of sweets.
Answer:
187 sweets
Step-by-step explanation:
8 units - 6 units = 2 units
2 units = 22 sweets
1 unit = 22 sweets ÷ 2
= 11 sweets
Total amount of sweets = 11 sweets × (6 units + 3 units + 8 units) = 11 sweets × 17 = 187 sweets
Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.
Answer:
The sum of the arithmetic series is 2717.
Step-by-step explanation:
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:
[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]
In conclusion, the sum of the arithmetic series is 2717.
Take the number you are given, double the difference between your number and 5, add four, divide by 2. If the first number is 12, what will be the value of the third number.
A) -3
B) -2
C) 2
D) 3
E) 7
Answer:
3
Step-by-step explanation:
Here's the rundown of values:
12=9
9=6
6=3
3rd value=3
*The values are created through going through the numerical process.
Which equation represents an exponential function with an initial value of 500?
f(x) = 100(5)x
f(x) = 100(x)5
f(x) = 500(2)x
f(x) = 500(x)2
Answer:
y = 500 * (2)^x is an exponential function
Step-by-step explanation:
An exponential function is of the form
y = a b^x where a is the initial value and b is the growth/decay factor
y = 500 * (2)^x is an exponential function
The correct equation that represents an exponential function with an initial value of 500 is:
f(x) = 500(2)x
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
We are given that the initial value of the exponential function is 500. The initial value refers to the value of the function when x is equal to zero. Therefore, the value of f(0) is 500.
Out of the four given options, only option (c) represents an exponential function with an initial value of 500, since f(0) is equal to 500 when x is equal to zero:
f(x) = 500(2)^x
Option (a) represents an exponential function with an initial value of 100 and a base of 5.
Option (b) represents a power function, not an exponential function.
Option (d) represents an exponential function with an initial value of 0 and a base of x^2, which can take any value including negative values, thus it doesn't satisfy the conditions of a valid exponential function.
Learn more about logarithmic functions here:
https://brainly.com/question/3181916
#SPJ7
Please Help Me With This Geometry Problem
Answer:
Remember that the area of a square of sidelength L is:
A = L^2
And the area of a circle of diameter D is:
A = pi*(D/2)^2
If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:
Notice that the diameter of the circle will be equal to the diagonal of the square.
And the diagonal of a square of side length L is:
d = √(2)*L
knowing that the side length of our square is 6 inches, the diameter of the circle will be:
D = √2*6in
Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.
The area of the circle is:
A = pi*(√2*6in/2)^2 = (pi/2)*36in^2
The area of the square is:
A' = (6in)^2 = 36in^2
The difference is:
A - A' = (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2
And there are 4 of these segments, then the area of every single one is one-fourth of that:
a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2
The area of each segment is:
a = (pi/2 - 1)*9 in^2
if we replace pi by 3.14, the exact area will be:
a = (3.14/2 - 1)*9in^2 = 5.13 in^2
Convert the angle 0 = 310° to radians. Express your answer exactly.
Answer:
5.425
Step-by-step explanation:
310° = 310° × π ÷ 180°
= 310° × 3.142 ÷ 180°
= 310° × 0.0175
= 5.425
Answer:
[tex]\frac{31\pi }{18}[/tex]Step-by-step explanation:
i got it right on khan[tex]\frac{31\pi }{18}[/tex]
please help have a lot of math to do
Answer:
The surface area of the rectangular prism is 814[tex]in^{2}[/tex]
Step-by-step explanation:
In order to find the surface area for a rectangular prism you have to solve using the following formula
A=2(wl+hl+hw)
Hope this helps!
Help me please.No spammmers.
Answer:
C
Step-by-step explanation:
cot =cos/sin =a/b
cos=a/b*sin
(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)
=(1-a/b)/(a+a/b)
=(b-a)/(a+b)
Calculate the mass of 245 mL of benzene if the density of benzene is 0.8765 g/mL.
Answer: 214.7425g
Step-by-step explanation:
Total benzene = 245mL
Density of benzene = 0.8765g/mL
Which means there is 0.8765g benzene per mL
Mass = 245×0.8765
= 214.7425g
Therefore there is 214.7425g of mass in 245mL benzene
Must click thanks and mark brainliest
If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.
Given the following data:
Density of benzene = 0.8765 g/mL Volume of benzene = 245 mLTo find the mass of benzene:
Density is mass all over the volume of a substance or an object.
Mathematically, the density of a substance is given by the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Making mass the subject of formula, we have;
[tex]Mass = Density[/tex] × [tex]Volume[/tex]
[tex]Mass = 0.8765[/tex] × [tex]245[/tex]
Mass = 214.74 grams.
Therefore, the mass of benzene is 214.74 grams.
Read more: https://brainly.com/question/18320053
What would -4|5+-3| be
Answer:
-8
Step-by-step explanation:
Find the sum of the second multiple of 9 and the fifth multiple of 6.
Answer:
48
Step-by-step explanation:
9,18
6,12,18,24,30
18 + 30 = 48
Is -626 an integer ? If yes, why.
Answer:
No
Step-by-step explanation:
Because intergerss are there positive opposite and its negative
Answer and Step-by-step explanation:
-626 is an integer because it is a whole number, not a fraction.
Integers can be both positive and negative numbers. What can't be an integer are fractions and decimals.
#teamtrees #PAW (Plant And Water)
I hope this helps!
At the laundromat, Carol used to pay $1.50 per load, but the company has increased the price per load by 20%. Estimate the amount Carol will pay to was 6 loads of laundry.
Answer:
$10.80 (about $11)
Brainliest, please!
Step-by-step explanation:
20% = 0.2
+20% = x 1.2
1.5 x 1.2 = 1.8
1.8 x 6 = 10.8
Angle Terminology with Equations
Aug 03, 8:18:32 AM
?
ZA and ZB are complementary angles. If m2A = (2x – 10)° and m
B = (x - 2), then find the measure of ZA.
EN O
Answer:
Submit Answer
attempt 1 out of 2
Pls help
If both are complementary then their sum will be 90°
[tex]\\ \sf\longmapsto m<A+m<B=90[/tex]
[tex]\\ \sf\longmapsto 2x-10+x-2=90[/tex]
[tex]\\ \sf\longmapsto 2x+x-10-2=90[/tex]
[tex]\\ \sf\longmapsto 3x-12=90[/tex]
[tex]\\ \sf\longmapsto 3x=90+12[/tex]
[tex]\\ \sf\longmapsto 3x=102[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{102}{3}[/tex]
[tex]\\ \sf\longmapsto x=34[/tex]
Now
[tex]\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58[/tex]
PLESE HELP YOU WILL GET ALOT OF POINTS
Answer:
It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...
Step-by-step explanation:
By x the just mean what number,... so,...
what number + 6 = 7,
6 + what number = 7,
2 + what number + 5 = 7,
1 + what number = 7,
what number + 4 + what number = 7,
So that is what it mean,... hope it helps, alot LOL,... and,... Chow
help please help asap :)
Answer:
4x^3
Step-by-step explanation:
20 x^5 + 28 x^4 + 12x^3
4*5*x^5 + 4*7*x^4 + 4*3*x^3
Factor out 4x^3
4x^3 ( 5x^2 + 7x +3)
You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
