Answer: 4697
Step-by-step explanation:
x + y = 11 ......... i
x² + y² = 325 ........ ii
From equation i
x + y = 11
Therefore, x = 11 - y....... iii
Put equation iii into equation ii
x² + y² = 325
(11 - y)² + y² = 325
(11 - y)(11 - y) + y² = 325
121 - 11y - 11y + y² + y² = 325
121 - 22y + 2y² = 325
121 - 325 - 22y + 2y² = 0
2y² - 22y -204 = 0
2y² - 34y + 12y - 204 = 0
2y(y - 17) + 12(y - 17) = 0
(y - 17) = 0
y = 0 + 17
y = 17
Since x + y = 11
x + 17 = 11
x = 11 - 17
x = -6
Therefore, x³ + y³
= (-6)³ + (17)³
= -216 + 4913
= 4697
Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2
Answer:
Output= 3 • Input - 2
Step-by-step explanation:
x | y
3 • x - 2
--------------
1 | 1
2 | 4
3 | 7
4 | 10
Answer: last option - output=3 · input - 2
Step-by-step explanation:
A right cylinder has a radius of 3 and a height of 12. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units
Answer:
[tex]A=72\pi\ units^2[/tex]
Step-by-step explanation:
Given that,
The radius of the cylinder, r = 3
Height of the cylinder, h = 12
We need to find the surface area of the cylinder. The formula for the surface area of a cylindrical object is given by :
[tex]A=2\pi rh\\\\=2\times \pi\times 3\times 12\\\\=72\pi\ units^2[/tex]
So, the surface area of the cylinder is equal to [tex]72\pi\ units^2[/tex].
i have no clue how to do this
Answer:
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there are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?
Please explain
Answer:
Step-by-step explanation:
there is a 4 to 7 ratio in the first situation.
so if there is (4*3) the it would be (7*3) so it would be 21 carnations
this gives 12+21 for a total of 33 flowers.
the ratio is 4/7 so you could also go (4/7)(12) and then add that to the original 12 in the boqouet in order to get the same answer. Hope this helps!
Can u give me the steps to this problem? What should I do first? Please please
Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a tail and spinning a 2?
F. 1/10
G. 1/9
H. 1/8
J. 3/20
The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For this case, the table is missing, the results recorded were:
Toss Spin Frequency
Head 1 2
Head 2 6
Head 3 7
Tail 1 7
Tail 2 5
Tail 3 13
That means total number of times experiment was done was: 2+6+7+7+5+13=40
Let we take E = event of tossing a tail and spinning a 2
Thus, from the table, we see that E occurred 5 times.
Thus, based on this, the experimental probability of occurrence of E is:
[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)
Learn more about probability here:
brainly.com/question/1210781
How many ways can three people be selected from a group of seven people if order
DOES matter?
Answer:
210 ways
Step-by-step explanation:
The is a permution problem.
Formula for permutations of r things taken from n things is
[tex]P(n,r) = \frac{n!}{(n - r)!}[/tex]
[tex]\frac{7!}{(7 - 3)!} = \frac{7!}{4!} = 7*6*5 = 210[/tex] ways
Which is equivalent to
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V2
Ο ΑΜΣ
2
OB. 120
2
2x
O
C.
al
OD
x+V2
2
OE V2
Write the equation of a circle that has a center of (-8, 0)
and a diameter of 8.
Answer:
(x+8)^2+y^2=16
Step-by-step explanation:
The equation for a circle in center-radius form is
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center and r is the radius.
We are given the diameter is 8 so the radius is 8/2=4.
We are also given (h,k) is (-8,0).
The equation for the circle is
(x--8)^2+(y-0)^2=4^2
(x+8)^2+y^2=16
As part of the global economy, the United States plays the role ot:
A. the country with the lowest standard of living,
B. the largest of the developing countries,
O c. the country most focused on agriculture.
D. the most economically powerful country.
Answer:
D: the most economical powerful country
Step-by-step explanation:
The USA is the most economical powerful country. In the Great Depression, it affected the whole world.
Given P(A) = 0.74, P(B) = 0.6 and P(ANB) = 0.494, find the value of
P(AB), rounding to the nearest thousandth, if necessary.
Step-by-step explanation: Since we have given, P(A) = 0.75 and P(A|B) =0.8 .
So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .
We have given P(B|A') = 0.6
P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.
P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.
=> P(A|B) = (∩)()=0.60.75
P
(
A
∩
B
)
P
(
B
)
=
0.6
0.75
= 0.8 .
Help please and thanks <33
Answer:
The 4th one (bottom)
Step-by-step explanation:
[tex]\frac{2}{3}x - 5 > 3\\\frac{2}{3}x > 3 + 5\\\frac{2}{3}x > 8\\x > 8 / \frac{2}{3} \\x > 12\\[/tex]
> sign means an open circle over 12, shaded/pointing to the right. The 4th option is your answer
1 point
Jill's great grandfather is 92 years old. Jill is 12 years old. Jill is
approximately what percent of her great-grandfather's age?
st
Answer:
I do not know
Step-by-step explanation:
Please help 5 points
Answer:
below
Step-by-step explanation:
Table One-
0 -0
1- .5
2- 1
3 - 1.5
Table Two-
0 - 0
1 - .25
2 - .50
3 - .75
I need help with this if you get it right I will mark you
9514 1404 393
Answer:
D 9/DF = 18/16
Step-by-step explanation:
Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.
For these isosceles triangles, the similarity statement could be written either of two ways:
ΔDEF ~ ΔABC or ΔDEF ~ ΔCBA
Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...
DF and AC (short sides)
DE and AB (long sides)
EF and BC (long sides)
For each (short side, long side) pair, we can write the proportion 4 ways:
DF/DE = AC/AB ⇒ DF/9 = 16/18DF/AC = DE/AB ⇒ DF/16 = 9/18DE/DF = AB/AC ⇒ 9/DF = 18/16 . . . . . matches choice DAC/DF = AB/DE ⇒ 16/DF = 18/9Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.
Review the graph of function g(x).
On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).
Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?
Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence
Answer:
Kadence Only
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the surface of the triangular prism
17m 17m 15m 16m 10m
Ms. Gonzalez had $70 to purchase school supplies for her class. She bought 29 glue sticks and 29 boxes of crayons. Each glue stick cost $1.29, and each box of crayons cost $0.79. How much money did Ms. Gonzalez have left after these purchases?
Please help
If m1 = 46°, what is m2?
A.
134°
B.
44°
C.
88°
D.
54°
Answer:
B. 44°
Step-by-step explanation:
That's it.
90° + 46° + 44° = 180°
Answer:
m2 = 44°.
Step-by-step explanation:
The sum of the measures of the angles of a triangle always equals 180°.
One of the angles is a right angle, so its measure is 90°.
Let n equal m2.
90+46+n=180
n=44
Therefore, m2 = 44°.
Can someone help finds the area of this figure
9514 1404 393
Answer:
49 cm^2
Step-by-step explanation:
The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.
Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2
Total area = 49 cm^2
What is the slope for the line that goes through the points?
(The answer should be a fraction (rise/run)
Answer: 2/1x
Step-by-step explanation:
you follow the graph from the y intercept to the next point
up 2 over 1
Answer:
2/1 or 2
Step-by-step explanation:
from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1
Two women share 60 eggs
it the ratio 1 to 2. How many eggs does each recieves?
Answer:
One woman receive 20 eggs
And the other receive 40 Egss
Explanation:
So the ratio is 1:2 so we gonna add them to get the total so 1+2=3
To find each amount divide each by the total so 1/3 and 2/3
To find the first amount
1/3×60=20
To find the other amount you can either subtract
60-20=40
or
2/3×60=40
One woman receive 20 eggs and the other receive 40 eggs.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
So the ratio is 1:2 so we have to add them to get the total.
So 1+2=3
In order to find each amount divide each by the total.
So 1/3 and 2/3
The first amount,
1/3 × 60 = 20
The other amount,
60-20=40
or
2/3 × 60 = 40
Thus, One woman receive 20 eggs and the other receive 40 eggs.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Answer the following questions by choosing whether the first situation is less, equally, or more likely to happen than the second.
PART A
The probability of a chance event is 0.32, is likely to happen when compared to 1/3
Answer:
probably g
Step-by-step explanation:
PLS HELPP
Find the surface area.
Answer:
To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw.
Step-by-step explanation:
l=12in
w=5in
h=3in
Area(all)=lw+lw+wh+wh+lh+lh
Area(all)=12×5+12×5+5×3+5×3+12×3+12×3
Area(all)=222 square inches
Look at the figure. If <1=<2 describe the relationship between lines a and b
A. The lines are transversals
B.the lines are parallel
C.the lines are perpendicular
D. The lines intersect
Without using a calculator, match each expression to the correct point.
b
牛
6
7
8
9
10
Point Expression
a
173
b
37
7.81
Please, I need help Try to explain if you can
Answer:
it the last choice
Step-by-step explanation:
you simply put the the x value and solove
Martin is playing a probability game with his friend. He places 9 blue marbles, 8 red marbles, and 3 white marbles in a
bag. What is the probability that Martin picks out a red marble, places it in his pocket, and picks out a second red
marble? Enter your answer as a fraction in the box provided.
8/8 6/8 so your going to take 2 from 8/8 so that would be 6/8
Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500
Answer:
D
Step-by-step explanation:
He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)
Can someone please help. This is stressful
Answer:
132
Step-by-step explanation:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]