Answer:
The given relation is presented as follows;
[tex]\dfrac{1}{a} + \dfrac{1}{b} +\dfrac{1}{c} = \dfrac{1}{a + b + c}[/tex]
Where 'a', 'b', and 'c' are member of real numbers, we have;
a⁹, b⁹, and c⁹ are also member of real numbers
When a⁹ = x, b⁹ = y, and c⁹ = z
By the above relationship, we have;
[tex]\dfrac{1}{x} + \dfrac{1}{y} +\dfrac{1}{z} = \dfrac{1}{x + y + z}[/tex]
Substituting x = a⁹, y = b⁹, and z = c⁹, we get;
[tex]\dfrac{1}{a^9} + \dfrac{1}{b^9} +\dfrac{1}{c^9} = \dfrac{1}{a^9 + b^9 + c^9}[/tex]
Step-by-step explanation:
Form a linear equation in two variables for each of the following :
a) Pak Osman bought x oranges and y apples with a total amount of RM50. He sold an orange and an apple for RM0.60 and RM0.70 respectively. After he sold all the fruits, he earned a profit of RM10.
b) The sum of numbers x and y is five times the difference between the two numbers. The value of x is greater than the value of y.
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
!!!!!!!!!!!!!! Please read question correctly before answering
Answer:
19
Step-by-step explanation:
Conditional probability formula: A|B (A given B)= (A∩B)/B
So cold drink | large (cold drink given large)= (Cold∩Large)/Large
cold∩large= 5
large= 22+5= 27
5/27=.185185185
which i guess rounds to 19%
What is the exact area of shaded region of the circle? Show all work.
Answer:
[tex]A=\frac{513\pi}{8}[/tex]
Step-by-step explanation:
1.Approach
To solve this problem, find the total area of the circle. Then multiply the total area by the fraction of the circle that is shaded.
2.Find the area of the circle
The formula to find the area of a circle is the following,
[tex]A=(\pi)(r^2)[/tex]
Where ([tex]r[/tex]) represents the radius of the circle, that is the distance from the center of the circle to the circumference of the circle (the outer edge). ([tex]\pi[/tex]) represents the numerical value (3.1415..).
Substitute the given values into the formula and solve for the area.
[tex]A=(\pi)(r^2)\\\\A=(\pi)(9^2)\\\\A=(\pi)(81)[/tex]
3.Find the percent of the circle that is shaded
There are a total of (360) degrees in a circle. It is given that (75) degrees are not shaded. To find the fraction of a circle that is shaded, subtract (75) form (360). Then put this value over (360) and simplify.
[tex]360 - 75 = 285[/tex]
Now put this number over (360) to find the fraction of the circle that is shaded.
[tex]\frac{285}{360}[/tex]
[tex]=\frac{19}{24}[/tex]
4.Find the area of the shaded region
Now multiply the total area by the fraction that the shaded region occupies.
[tex](81)(\pi)*(\frac{19}{24})\\\\=\frac{(81)(19)(\pi)}{24}\\\\=\frac{513(\pi)}{8}[/tex]
Help please
9. Is 23.32 = 65? Explain.
Type here
TS
Answer:
No, because 2^3 × 3^2 is equivalent to 72 which is a much smaller number than 6^5 which is equal to 7,776.
Step-by-step explanation:
2^3 × 3^2 = 6^5 ??
Use PEMDAS:
(2 × 2 × 2) × (3 × 3) = 6 × 6 × 6 × 6 × 6
(4 × 2) × 9 = 36 × 6 × 6 × 6
8 × 9 = 216 × 6 × 6
72 = 1,296 × 6
72 = 7,776
Step-by-step explanation:
no because they just added they exponents together. 6^5 is like saying 6 multiplied by itself 5 different times. same with the other numbers. if you switch the exponents around and multiply at different times it's like multiplying different numbers, because 2^3 is multiplying 2 by itself 3 individual times. if you move the exponent to the 6, you are multiplying a completely different number by its own self, so the two different methods cannot be congruent.
(I'm sorry I hope that made sense)
also you can just check with the calculator, this is just an explanation on why it will show up like that on the calculator
Need Help ASAP! Timed Assignment!
Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
Part A)
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Mike and his friends bought five cheese wafers and 15 chocolate wafers.
Step-by-step explanation:
Let cheese wafers be represented by x and let chocolate wafers be represented by y.
Part A)
They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:
[tex]2x+1y=25[/tex]
Or, simply:
[tex]2x+y=25[/tex]
They also purchased a total of 20 packets of wafers. Hence:
[tex]x+y=20[/tex]
Our system of equation is:
[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]
Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.
Part B)
Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:
[tex]-x-y=-20[/tex]
Add it to the first equation:
[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]
Simplify:
[tex]x=5[/tex]
So, five cheese wafers were bought.
Using the second equation again, we can see that:
[tex](5)+y=20\Rightarrow y=15[/tex]
So, 15 chocolate wafers were bought.
Notes:
If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:
[tex]y=20-x[/tex]
Substitute this into the first:
[tex]2x+(20-x)=25[/tex]
Simplify:
[tex]x=5[/tex]
And we will acquire the same answer:
[tex]y=20-(5)=15[/tex]
Which expression is a trinomial of degree 1?
Answer:
A
Step-by-step explanation:
Answer:
"C"
trinomial means three parts, degree 1 means highest exponent is 1
x & y are of degree 1 and there are three parts
Step-by-step explanation:
Round your answer to the nearest hundredth.
А
(20
?
B
С
3
( need answers plz )
Answer:
8.24243226
Step-by-step explanation:
Same as the previous one I answered.
Tan = Opposite/ Adjacent
Adjacent = Opposite / Tan(20)
PLEASE ANSWER ASAP IM TAKING FINALS
sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
Answer:
A) 47.17
B) 10.2 feet
Step-by-step explanation:
dont forget to switch the calculator to degrees when doing this
For A)
arcsin(11/15)=angle of elevation
47.17=angle of elevation
For B)
tan(47.17)=11/x
11/tan(47.17)=x
10.2=x
read comments for other stuff that i forgot to put in here
Angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].
What is angle of elevation?" Angle of elevation is defined as the angle between horizontal plane and the observation line of sight."
Formula used
[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]
Pythagoras theorem
[tex](Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}[/tex]
According to the question,
Length of the ladder ' hypotenuse'= 15 foot
Height to reach a point ' perpendicular' = 11feet
'[tex]\alpha[/tex]' represents the angle of elevation
[tex]'x'[/tex] represents the base of the house
Substitute the value to get the value of angle of elevation we have,
[tex]sin\alpha = \frac{11}{15}[/tex]
⇒ [tex]\alpha = sin^{-1} (0.7333)[/tex]
⇒[tex]\alpha = 47.14[/tex] degrees
Substitute the value in the formula to get the value of base we have,
[tex](15)^{2}= (11)^{2} +x^{2}[/tex]
⇒[tex]x^{2} = 225 - 121[/tex]
⇒[tex]x^{2} = 104[/tex]
⇒[tex]x=\sqrt{104}[/tex]
⇒[tex]x= 2\sqrt{26}[/tex] foot
Hence, angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].
Learn more about angle of elevation here
https://brainly.com/question/21137209
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A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it
Answer:
7.5 grams
Step-by-step explanation:
The percent of gum Arabic is 100 -30 -40 = 30 %
30% of 25 g =
.30 * 25
7.5 grams
Answer:
[tex]7.5gm[/tex]
Step-by-step explanation:
Solution:
[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]
Question 2 of 25
If you apply the changes below to the absolute value parent function, f(x) = [XI,
what is the equation of the new function?
• Shift 4 units to the right.
• Shift 6 units up.
Answer:
[tex]g(x) = |x-4|+6[/tex]
Step-by-step explanation:
shift 4 to the right --> x-4
shift 6 up --> +6
Write 1.547x10^3 as an ordinary number
Answer:
1547
Step-by-step explanation:
10^3 is 1000 1.547 x 1000 = 1547.
Pls follow and mark answer as brainliest
a triangle has coordinates a(-1,-2) b(-4,-2) and c(-4,-5) what are the coordinates of a' the image of point a under a dilation with a scale factor of 3?
9514 1404 393
Answer:
(-3, -6)
Step-by-step explanation:
The scale factor multiplies each coordinate.
A' = 3A = 3(-1, -2) = (-3, -6)
The image of A is ...
A'(-3, -6)
Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7. What is the measure of ∠R in △PQR? Round to the nearest degree. 26° 42° 45° 64°
Answer:
<R = 26degrees
Step-by-step explanation:
Making <R as the reference angle
Adjacent side = 12.7
Hypotenuse = 14.1
Cos <R = adj/hyp
Cos <R = 12.7/14.1
Cos <R = 0.9007
<R = arccos(0.9007)
<R =25.7
<R = 26degrees
Answer:
A. 26°
Step-by-step explanation:
I took it on EDG
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?
1 gallon
=
1 gallon=
4 quarts
4 quarts
1 quart
=
1 quart=
2 pints
2 pints
1 pint
=
1 pint=
2 cups
2 cups
1 cup
=
1 cup=
8 fluid ounces
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
Answer:
24 servngs
Step-by-step explanation:
3 cups makes 9 servings.
The rate of servings to cups is 9 servings to 3 cups which is a unit rate of 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 * 4 quarts = 8 cups
3 serviongs/cup * 8 cups = 24 servings
Answer: 24 servings
HELP ASAP!!! I WILL GIVE YOU A brainliest and a 5 star if you give me the correct answer for my homework!!!!! DO NOT WING IT TO GET POINTS FROM ME
Question 1
A bag contains 1 red, 2 blue, 4 orange, and 3 purple marbles. A marble is drawn and not replaced. Then another marble is drawn.
Part A: What is P (purple, then orange)?
Question 2: Use the photo that I attach!!!
Answer:
Question 1
probability of a red marble in the first draw = 1/10
probability of a orange marble in the second draw = 4/9
probability of getting red in first and orange in second (without replacement) = 1/10 * 4/9 = 2/45,
Question 2
6 outcomes
1/6
Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of possible values
for t, the total time of the drive in hours?
A
1.79
B
1.72 < t < 1.85
с
1.72
1.75 < t < 1.82
Answer:
1.72 ≤ t ≤ 1.85
Step-by-step explanation:
Given :
Distance = 100 miles ;
Speed = 56 miles per hour, to the nearest 2 miles per hour
Hence, the speed range is :
(56 - 2) mph ; (56 + 2) mph
Range of possible Time taken, t :
Distance / speed ;
100 / 58 ≤ t ≤ 100 / 54
1.72 ≤ t ≤ 1.85
PLEASE HELP ASAP!
a. 4
b. 8
c. 16
d. 24
which one????
Answer:
A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z
Can You Help Me Out Please
Answer:
x = -3
Step-by-step explanation:
3^x = 1/27
Rewriting
1/27 as 1/3^3 = 3^-3
3^x = 3^-3
Since the bases are the same, the exponents are the same
x = -3
Answer:
Step-by-step explanation:
4/81x
What is the solution to the system of equations graphed?
Answer:
D. (1, 5)
Step-by-step explanation:
the solution to the system of equations is the point of lines intersect => (1, 5)
write the equation of a line with that passes through given point and gas the given slope. Answer in general form
Step-by-step explanation:
c) since m = undefined => the equation is
x = -2
d) the equation is
y-2= -1/7 (x+7)
=> y = -1/7 x -1+2
<=> y = -1/7 x + 1
SOMEONE PLS HELP ME!!!
The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.
The axis of symmetry for this graph is x = -1.
Hope this helps!! :)
The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and the width of the rectangle. *
Answer:
+ 5 = length 2x + 2(x + 5) = 38
. Solve for the missing side in the right triangle below.
x = √29
Step-by-step explanation:
By the Pythagorean theorem,
A² + B² = C²
14² + x² = 15²
x² = 15² - 14²
x² = 29
x = √29
Step-by-step explanation:
A^2+B^2=C^2
14^2+x^2=15^2
196 + X^2=225
X^2=225-196
x^2=29
X=√29
1. The elevation of Death Valley, California, is -282 feet. The elevation
of Tallahassee, Florida, is 203 feet. The elevation of Westmorland,
California, is -157 feet.
a. Compare the elevations of Death Valley and Tallahassee using < or
>
b. compare the elevations of Death valley and westmorland.
PLSS ANSWER A AND B AND WHEN U DO SAY answer to “a” is....
answer to “b” is...
tysm !!!
Answer:
(a) Death Valley < Tallahassee
Death Valley is 485m below Tallahassee
(b) Death Valley < Westmorland
Death Valley is 125m lower than Westmorland
Step-by-step explanation:
It is a topic of direction numbers
(a) -282 - (- 157) = -125
the minus sign shows "below"
(b) -282 - 203 = -485
the minus sign shows "below"
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
What is the slope of the line that is parallel to the given line and passes through the given point?
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
-1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
y + 4 = -1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
-9/2
Step-by-step explanation:
Good lcuk for anyone who needs this<3
The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Equation of a line in point-slope form?The equation of a line in point-slope form is expressed as:
y - y0 = m(x - x0)
m is the slope
(x0, y0) is any point on the line
Using the coordinate points (2, 2) and (-2, -4)
Determine the slope
Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2
Using the point (2, 2), the equation of the line in point slope for is expressed as:
[tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Learn more on equation of a line here: https://brainly.com/question/18831322
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The diagram shows the length and width of a cell phone, and the length of a larger
version of the same brand of cell phone.
2.6 in.
5.4 in.
6.21 in.
The lengths and widths of the two cell phones are proportional. What is the width,
in inches, of the larger version of the cell phone?
A
1.15
B
2.26
С
c
2.99
D
3.41
what is the answer to 11/5 divided by 2/5
Answer:
The Correct Answer is [tex]\frac{11}{2}[/tex] (11/2)
Decimals Form: 5.5
Answer:
5 1/2 or 5.5
Step-by-step explanation:
11/5 ÷ 2/5
11/5 × 5/2 = 11/2 = 5 1/2
What is the length of PR?
40°
Ο.
110
X
110
R
Ο Α. 11
Ο Β. 13
C. 81
Ο D. 9
Answer:
it's 9
Step-by-step explanation:
hope this helps <3
Find the angles P, Q, R and S. P =3x , Q =x , R = 4x , S =2x
Answer:
Q=36°, P=108°, R=144°, S=72°.
Step-by-step explanation:
angle on a quadilateral is equal to 360°
so 3x+x+4x+2x =360°
10x=360°
x=26°