let length be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]
[tex]\\ \sf\longmapsto x=4(28)[/tex]
[tex]\\ \sf\longmapsto x=112[/tex]
Step-by-step explanation:
there is something wrong with your problem description.
the offered answer options do not fit to the solution as it is described.
2/8th of a rope is 28 meters long. how long is the whole rope ?
as the other answer said : 2/8 = 1/4
and 1/4th of the rope x = 28 m
1/4 × x = 28
x (the length of the whole rope) = 4×28 = 112 meters
but - maybe the original problem said that 7/8th (and not 2/8th) of a rope is 28 m.
7/8 × x = 28
1/8 × x = 4
x = 32 m
then A (32) would be the right answer !
[tex]\large\mathfrak{{\pmb{\underline{\orange{Question }}{\orange{:}}}}}[/tex]
Tick (✔) the correct option:
2 : 3
5 : 7
11 : 13
17 : 19
23 : ?
(a) 25 (b) 27 (c) 29 (d) 31
(Explanation is a must.)
Answer:
29
Step-by-step explanation:
As it is a list of prime number, the sequence continues with 29 being the next prime number after 23.
Answer:
c) 29
Step-by-step explanation:
they are the prime no. in sequences so, the nex one prime no. is 29 ,
so the answer will be 29
hope it's helpful to you ☺️
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation below.
[tex]3x^{3x-2}=81[/tex]
To solve the given exponential equation, solve the linear equation [tex]3x-2=[/tex]
Answer:
[tex]ıf \: {3x}^{3x - 2} = 81[/tex]
Step-by-step explanation:
use logarithmic function
[tex] log_{3x}(81) = 3x - 2[/tex]
Answer:
4 and x=2
Step-by-step explanation:
:}
9(5x + 1) ÷ 3y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (ill give brainiest and if there is any troll answers I will report and take this down )
Answer
3y(5x+1)
Step-by-step explanation:
9*(5x+1)/3y
3(5x+1)y
Answer:
Step-by-step explanation:
sum: 5x + 1
factor: 3 which divides into 9 evenly
quotient: the answer to division: 9(5x + 1)/(3y) = 3(5x +1)/y
coefficent: this depends on what you have been told. In my day, there were two kinds of coefficents
numerical: 5 and 3
literal: x and y
Will give brainliest answer
Answer:
Yes lolololololololololololololololol
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{1}{2}*10^{8t}=73 \\\\10^{8t}=146 \\\\8t=log_{10}(146)\\\\t=\dfrac{log_{10}(146)}{8} \\\\\\t=0,27054410...\approx{0.27}[/tex]
I will mark as brainliest:)
Answer:
Cube C
Step-by-step explanation:
[tex]{ \sf{because \: it \: is \: identical}}[/tex]
what is the inverse of y=3x+3?
Answer:
The inverse is x/3 -1
Step-by-step explanation:
y = 3x+3
To find the inverse, exchange x and y
x = 3y+3
Solve for y
x-3 =3y+3-3
x-3 = 3y
Divide by 3
x/3 - 3/3 = 3y/3
x/3 -1 = y
The inverse is x/3 -1
_____, as a defense mechanism, is the unconscious act of keeping threatening or disturbingthoughts, feelings, or impulses out of consciousness.
a. Sublimation
b. Projection
c. Reaction formation
d. Repression
Find the slope of the line containing the points (7,5) and (2, 4).
Answer:
1/5
Step-by-step explanation:
the two points are(7,5) and (2,4)
let,(x1,y1)=(7,5) and (x2,y2)=(2,4)
slope (m)=y2-y1/x2-x1
=4-5/2-7
=-1/-5
=1/5(minus ,minus are cut)
Complete the square to evaluate the definite integral
∫dx/x^2-2x+5
Bounds:1-3
[tex]\displaystyle \int_1^3 \frac{\mathrm dx}{x^2-2x+5}[/tex]
Follow the instruction and complete the square in the denominator:
x ² - 2x + 5 = (x ² - 2x + 1) + 4 = (x - 1)² + 4
Then the integral is
[tex]\displaystyle \int_{x=1}^{x=3} \frac{\mathrm dx}{(x-1)^2+4}[/tex]
Substitute y = x - 1 and dy = dx :
[tex]\displaystyle \int_{y+1=1}^{y+1=3} \frac{\mathrm dy}{y^2+4} = \int_{y=0}^{y=2}\frac{\mathrm dy}{y^2+4}[/tex]
Substitute y = 2 tan(z) and dy = 2 sec²(z) dz :
[tex]\displaystyle \int_{2\tan(z)=0}^{2\tan(z)=2}\frac{2\sec^2(z)}{(2\tan(z))^2+4}\,\mathrm dz = \frac12 \int_{z=0}^{z=\pi/4} \frac{\sec^2(z)}{\tan^2(z)+1}\,\mathrm dz \\\\ = \frac12 \int_{z=0}^{z=\pi/4} \frac{\sec^2(z)}{\sec^2(z)}\,\mathrm dz \\\\ = \frac12 \int_{z=0}^{z=\pi/4} \mathrm dz = \frac12 z\bigg|_{z=0}^{z=\pi/4} = \frac12 \left(\frac\pi4-0\right) = \boxed{\frac\pi8}[/tex]
work out missing angle following polygons
Answer:
x = 150°
Step-by-step explanation:
Interior angle of a hexagon = 120° and interior angle of a square = 90°
so remaining angle, 360-120-90 = 150°
determine whether the lines are parallel or not with proper reasons.
Answer:
Parallel
Step-by-step explanation:
Because of interior alternate angles
Angle ARS and Angle BRS are Interior alternate angles in this case ..
What is 9,000,000 + 8,000 + 90,000,000 + 100 + 2 + 90,000 + 90 in standard form?
Answer:
9×10^7 + 9×10^6 + 9×10^4 + 8×10^3 + 1 ×10^2 + 9×10 + 2
please mark this answer as brainlist
Select all the correct answers.
Consider functions fand g.
f(x) = 4(x – 3)2 + 6
g(x) = -2(x + 1)2 + 4
Which statements are true about the relationship between the functions?
The vertex of function gis 4 units to the left of the vertex of function f.
The vertex of function gis 2 units below the vertex of function f.
Function gopens in the same direction as function f.
Function gopens in the opposite direction of function f.
The vertex of function gis 2 units above the vertex of function fi
vertex of function gis 4 units to the right of the vertex of function f.
Answer:
Step-by-step explanation:
f(x) = 4(x-3)² + 6
Up-opening parabola with vertex (3, 6)
g(x) = -2(x+1)² + 4
Down-opening parabola with vertex (-1,4)
A. True
B. True
C. False
D. True
E. False
F. False
The correct statements are:
"The vertex of function g is 4 units to the left of the vertex of function f.""The vertex of function g is 2 units below the vertex of function f.""Function gopens in the opposite direction of function f."Which statements are true about te functions?Here we have the two quadratic functions:
f(x) = 4*(x - 3)^2 + 6g(x) = -2*(x + 1)^2 + 4The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:
f(3) = 0 + 6 = 6
So the vertex is (3, 6)
For g(x) we can see that the vertex is at x = -1, and:
g(-1) = 0 + 4
So the vertex is at (-1, 4)
Also, you can see that for g(x) and f(x) the leading coefficients are of different sign. Meaning that f(x) opens upwards and g(x) opens downwards.
Now that we know the two vertices, we can see that the correct options are:
"The vertex of function g is 4 units to the left of the vertex of function f."
"The vertex of function gis 2 units below the vertex of function f."
"Function gopens in the opposite direction of function f."
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
Assume the population of regulation basketball weights are normally distributed with a mean of 22 and a standard deviation of 1 ounce. If a sample of 100 regulation basketballs is taken, what is the probability that its sample mean will be greater than 22.2 ounces
Answer: 0.0228
Step-by-step explanation:
please check photo explanation
The probability that the sample mean will be greater than 22.2 ounces will be equal to 0.0228
What is probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given values in the question,
[tex]\mu_x[/tex] = 22
σ(x) = σ/√n
= 1/√100
σ(x) = 0.1
P(x>22.2) = 1- P(x<22.2)
= 1- P(x × μ(x))/ σ(x) < (22.2 - 22)/0.1
1 - P (z < 2.00)
1- 0.9772
= 0.0228
To know more about probability:
https://brainly.com/question/11234923
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give ABCD is a trapizod , Ab = 13, CD= 14, BC = 15, and AD = 20 what is the area
Step-by-step explanation:
A=140sq. units
Step-by-step explanation:
ABCD
A=13
B=15
C=14
D=20
C=14×14
=196sqr.units
To convert a measurement in centimeters to meters, you simply move the decimal point
Answer:
there are 100 cm in every meter which means that dividing will convert ot to meters. you can make the conversion quick and easy by simply moving the decimal point in your measurement 2places or place values to left
Step-by-step explanation:
hope it will help you
13.) Jessica earns 5 points for every assignment she completes, plus 15 points just for being in class on a given day. How many assignments does she need to complete to earn 65 points? First, write the equation that fits this model. Let z be the amount of assignments completed. *
Answer:
10
5z+15=65
Step-by-step explanation:
5z+15=65
5(10)+15=65
1
2
3
4
Which value of a in the exponential function below would cause the function
f(x)
=a
Tln wilt ml
4
o
Answer:
Step-by-step explanation: sajkdkdksskkcfd
Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R(P) = - 8p^2 + 24,000p. What unit
price should be established for the dryer to maximize revenue? What is the maximum revenue?
The unit price that should be established to maximize revenue is $|
(Simplify your answer.)
Here we have a problem of maximization and quadratic equations.
The unit prize that maximizes the revenue is $1,500, and the maximum revenue is $18,000.
We know that the revenue equation is:
R(P) = - 8p^2 + 24,000p
Where the variable p is the price.
Now we want to find the value of p that maximizes the revenue.
To do it, we can see that the revenue equation is a quadratic equation with a negative leading coefficient.
This means that the arms of the graph will go downwards, then the maximum point of the graph will be at the vertex.
Remember that for an equation like:
y = a*x^2 + b*x+ c
The x-value of the vertex is at:
x = -b/(2*a)
Then for the equation:
R(P) = - 8p^2 + 24,000p
The vertex is at:
p = -(24,000)/(2*-8) = 1,500
The value of p that maximizes the revenue is p = $1,500
To get the maximum revenue, we need to evaluate the revenue equation in that p value.
R(1,500) = - 8*(1,500)^2 + 24,000*1,500 = 18,000
And the revenue equation is in dollars, then the maximum revenue is 18,000 dollars.
If you want to learn more, you can read:
https://brainly.com/question/18269297
p = 1500 $ the unit price
R(p) = 18000000 $ maximum revenue
We will use two different procedures to calculate the maximum revenue.
That is equivalent to solve the problem and after that to test the solution
The first one is:
R(p) = - 8*p² + 24000*p
we realize that R(p) is a quadratic function ( a parabola) of the form:
y = a*x² + b*x + c ( c = 0 in this case)
We also know that as the coefficient of p² is negative the parabola opens downwards then the vertex is a maximum value for R(p), and the x coordinate of p is:
x = p = - b/2*a then by substitution
p = - ( 24000)/ 2 ( - 8)
p = 1500 $ and for that value of p
R(p) = - 8 ( 1500)² + 24000* (1500) = - 18000000 + 36000000
R(p) = 18000000 $
The second procedure is solving with the help of derivatives.
R(p) = - 8*p² + 24000*p
Tacking derivatives on both sides of the equation we get:
R´(p) = -16p + 24000
If R´(p) = 0 then -16p + 24000 = 0
p = 24000/ 16 p = 1500
if we check for the second derivative
R´´(p) = -16 -16 < 0 therefore there is a maximum value for R(p) when p = 1500, and that value is:
By substitution in R(p)
R(p) = -8 *(1500)² + 24000* 1500
R(p) = - 18000000 + 36000000
R(p) = 18000000 $
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
Answer:
A, C, and F
Step-by-step explanation:
The solution is, A and D are the correct statements.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
to know which are the following statements are true:
We know that when f(x) is divided by (x - h) then f(h) is the remainder.
In option A f(-7) is the remainder which gives the value 8.
So, option A is correct.
Here the value x = 7 does not satisfy the function.
When we put x = 7 in the function it is coming 99
So, option B and C are wrong.
On putting x = -7 in the function we are getting 8
So options D is correct
Again, the value of f(7) is 99.
So, (x - 7) when divides the given function, 8 is not the remainder.
So, option E is wrong.
Hence, The solution is, A and D are the correct statements.
Find more about "Division of functions" here:
brainly.com/question/25289437
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A number has ........... number of factors but ........... number of multiple.
A number has fixed number of factors but infinite number of multiples
Ex:-
Take a number 12
It has factors 1,2,3,4,6,12
It is fixed.
But
It has multiples 12,24,36,48,60...
It is infinite
What 2/3 as a percentage
Answer:
66 2/3 %
Step-by-step explanation:
2/3
Take 2 and divide by 3
.666666(repeating)
Multiply by 100
66.6666(repeating)%
But .6666666(repeating) is 2/3
66 2/3 %
Answer:
[tex] 66.66\%[/tex]
Step-by-step explanation:
[tex] \frac{2}{3} \times 100\% \\ \frac{200}{3} \% \\ 66.66\%[/tex]
What is the slope of the line that passes through the points listed in the table?
x | y
4 | 7
5 | 3
A. 4
B. 3
C. -3
D. -4
Answer:
D. -4
Step-by-step explanation:
the slope formula is
m=(y2-y1)/(x2-x1)
(x2,y2) = (4,7)
(x1, y1) = (5,3)
So (7-3)/(4-5) = 4/-1 = -4
Answer:
-4
Step-by-step explanation:
I say so
Click on the picture for the answer
Answer:
the answer is 1/14
hope this helps you
9514 1404 393
Answer:
(a) 1/14
Step-by-step explanation:
Fractions are multiplied by multiplying numerators and denominators. They are reduced by cancelling common factors. When a product has an even number of minus signs, it is positive.
[tex]\left(-\dfrac{3}{7}\right)\cdot\left(-\dfrac{1}{6}\right)=\dfrac{(-3)(-1)}{7\cdot6}=\dfrac{3}{7\cdot2\cdot3}=\dfrac{1}{7\cdot2}=\boxed{\dfrac{1}{14}}[/tex]
Can someone help solve this?
Answer:
The function is positive when x>1
-7/3+1/2w= -9/5
What is w?
Answer:
w = 124/15 = 8 4/15
Step-by-step explanation:
[tex]-\frac{7}{3}+\frac{1}{2}w=-\frac{9}{5}\\\\\frac{1}{2}w=\frac{62}{15}\\\\w=\frac{124}{15}=8\frac{4}{15}[/tex]
the mode of 3,5,1,2,4,6,0,2,2,3 is
giving out brainliest
find coordinate of a point on x axis which is at a distance of 5 units from (5,4)
Step-by-step explanation:
Hi there!
Please see attached picture for your answer.
Hope it helps!
A(3, 7), B(5, 7), C(3-7), D(5, -7)
what is the area ?
Answer:
28 square units.
Step-by-step explanation:
This is a rectangle with sides (7 - (-7) and (5 - 3)
= 14 by 2
= 28 unit^2.
Can some help with the answer please it’s very much needed and apprIeciated
Answer:
A
Step-by-step explanation:
The degree of the Polynomial is 3
