Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
Which temperature is closest to room temperature?
a) 35°F b) 65°F c) 120°F d) 200°F
Answer:
b) 65f
Step-by-step explanation:
Answer:
b. 65° F
Step-by-step explanation:
option B is correct answer
Please help quickly I don’t understand
Which statement describes whether a right triangle can be formed using one side length from each of these squares?
Area = 64 in
Area = 225 in
Area = 289 in
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of
the largest square
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the
largest square
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area
of the largest square.
Save and Exit
Set
Answer:
Step-by-step explanation:
The area of the given squares are
Area = 64 in
Area = 225 in
Area = 289 in
The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.
For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,
8² + 15² = 17²
289 = 289
Therefore, the correct statement is
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square
Answer:
B
Step-by-step explanation:
I got this right in edge 2020. Hope this helped! ;)
The simple interest on a principal amount, P, borrowed for Tyears at R% annual interest is given by the following
formula.
P.R.T
100
Which of the following describes the relationship between the variables of the simple interest formula?
OP depends on Rand T
OR depends on Pand T
I depends on P, R, and T
O R depends on /
Answer:
I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Step-by-step explanation:
We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :
Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]
So,[tex]I \propto P[/tex]
[tex]I \propto T[/tex]
[tex]I \propto R[/tex]
So, I depends on P , T and R
So, Option C is true .
Hence I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Answer:
I depends on P, R, and T
Step-by-step explanation:
pls help i give brainliest and 5 stars
Answer:
r = 9 m
Step-by-step explanation:
The volume of a sphere is defined as:
[tex]V = \frac43 \pi r^3\\[/tex]
if this is equal to 972π, then r³ = 972 * 3/4
so r = ∛729 = 9
Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
Mr. Cho made a two-way table to describe members of his family. Which could describe the row and column headings for Mr. Cho’s table? whether the relative was born in Korea; whether the relative speaks Korean whether the relative was born in Korea; what their favorite Korean meal is what city in Korea is their favorite; whether the relative speaks Korean what city in Korea is their favorite; what their favorite Korean meal is
Answer:
A is correct
Step-by-step explanation:
The person above me is correct that why it have 4.7 rating
whether the relative was born in Korea; or whether the relative speaks Korean could describe the row and column headings for Mr. Cho’s table.
What is a two-way frequency table?A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Given, Mr. Cho made a two-way table to describe members of his family.
Items in the row are aligned from left to right, even as columns are aligned from pinnacle to bottom. A row is a horizontal alignment of information, even as a column is vertical. Data in a row carries records that describe an unmarried entity, even as information in a column describes a subject of records all entities possess.
Since Mr. Cho wants to describe his family in a proper way
Thus, he needs to Represent in such a form that every quality can be expressed evenly.
Therefore, whether the relative was born in Korea; or whether the relative speaks Korean could describe the row and column headings for Mr. Cho’s table.
Learn more about two-way frequency tables here:
https://brainly.com/question/29766382
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I WILL GIVE BRAINLIEST AND THANKS
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Which cylinder has the greatest volume?
1.a cylinder with a height of 9 cm and a radius of 9 cm
2.a cylinder with a height of 12 cm and a radius of 6
3.a cylinder with a height of 6 cm and a radius of 12
cm
4.a cylinder with a height of 15 cm and a radius of 3
Answer:
3
Step-by-step explanation:
because the raidus of 12 and 6 cancel
Complete the equation of the line through (-8,-2)and (-4,6)
use exact number
y=................
Answer: y=2x+14
Step:
substitute into y=mx+b
m= slope
b = y-int.
Answer this, please!! Its urgent
Answer:
Hello dear,
5.102 ×10⁸km
300000000
2.4×10⁵
149600000000m
Hope it will help you
please thank
Which of the following properties is represented by (x + y)(2 + z) = 2(x +y) + z(x + y)?
Associative Property of Multiplication
Commutative Property of Multiplication
Distributive Property
Associative Property of Addition
The final statement is: The property of distribution is used in the given expression.
What is a distributive property in math?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)
Clearly 2 and z get distributed over (x+y)
We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
Thus this is the distributive property of multiplication.
Hence, Distributive property is the correct option.
Learn more about distributive property here:
https://brainly.com/question/5637942
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Joshua is using a garden hose to fill a swimming pool with water. The graph below shows
the amount of water in the pool over time. Use the drop-down menus to explain the slope of
the graph.
For the first option the numbers are 90,10,5,18,2
Answer:
minutes needed to add each gallon of water in the pool
Step-by-step explanation:
The X-axis is the time and the Y-axis is the gallons. Y is the one being influenced by X. So, the amount of gallons in the pool is being influenced by the amount of time.
please solve
thanks
Answer:
1) 250°, 2) 44°
Step-by-step explanation:
1) See attached
If we add a line ⊥ to both AB and DE, we can find x as a sum of 2 internal angles of right triangles and 180°
∠D internal = 360°-312°=48°
x=180°+(90°-62°)+(90°-48°)= 180°+28°+42°= 250°
x=250°
2)
∠ADC= ∠ABC= 180°- ∠ADE= 180°- 110°= 70°
∠DBC= ∠ABC- ∠ABD= 70°-26°= 44°
∠DBC= 44°
Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.
Answer: the answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = -2/3
3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much.
A girl has 20 marbles
10 are red, 7 are blue, and 3 are green
If she picks 5 marbles, without replacing them, what are the chances all 5 are red?
10/20 * 9/19 * 8/18 *7/17 * 6/16
1/2 * 9/19 * 4/9 * 7/17 * 3/8
1/2 * 1/19 * 3/2
1/76
pls help this is due before 11:59
Answer:
B
Step-by-step explanation:
232/4= 58
343/7= 49
58-49= 9
pleaseeee help!!
x =
a.) 4
b.) 9
c.) 16
Answer:
x =16
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos 60 = 8/x
Switch the x and the cos 60
x = 8/cos 60
x =8 / (1/2)
x =16
Can someone help me with this?
Answer:
0.25 seconds
Step-by-step explanation:
First let's expand the function h:
[tex]h = -16(t- 1/4)^2 + 49[/tex]
[tex]h = -16(t^2 - t/2 + 1/16) + 49[/tex]
[tex]h = -16t^2 + 8t - 1 + 49[/tex]
[tex]h = -16t^2 + 8t + 48[/tex]
To find when the marshmallow reaches the maximum height, we can use the formula to find the vertex of the quadratic function, and the x-coordinate of the vertex is when we have the maximum height:
[tex]x_{vertex} = -b/2a[/tex]
In our equation, b = 8 and a = -16, so:
[tex]t_{vertex} = -8 / (-32) = 0.25\ seconds[/tex]
wiil mark bianleast
Which figure is a translation of the gray shape?
Figure A.
Figure B.
Figure C.
Figure D.
Which points are on the graph of f(x)=(1/3)^x?
Select each correct answer
1. (-1, -1/3)
2. (3, 27)
3. (-2, 9)
4. (0, 1)
Answer:
(0,1)
Step-by-step explanation:
Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =
Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Answer:
A=16 & B=2
Second part is B
Step-by-step explanation:
;)
1. For each event state whether you think it is impossible,
very unlikely, unlikely, evens, likely, very likely or
certain.
a) Pick a club card from an ordinary pack of cards
b) Pick the ace of spades from an ordinary pack of cards
c) Tossing a coin and it landing on heads
d) I roll a dice and get a 7
e) Somebody you know is left handed
2. Give two examples of events with the following
probabilities.
a) Impossible
b) Unlikely
c) Certain
d) Likely
e) Very likely
Answer:
a) Pick a club card from an ordinary pack of cards
VERY LIKELY
b) Pick the ace of spades from an ordinary pack of cards
VERY UNLIKELY
c) Tossing a coin and it landing on heads
LIKELY
d) I roll a dice and get a 7
IMPOSSIBLE
e) Somebody you know is left-handed
LIKELY
a) Impossible
In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
b) Unlikely
The chance of snow in June in Florida
c) Certain
“Head or Tail' is a certain event connected with tossing a coin
d) Likely
The sharp knife will cut his finger
e) Very likely
Since it is sunny and hot, it is I will go to the pool today.
Answer:
a) Pick a club card from an ordinary pack of cards
VERY LIKELY
b) Pick the ace of spades from an ordinary pack of cards
VERY UNLIKELY
c) Tossing a coin and it landing on heads
LIKELY
d) I roll a dice and get a 7
IMPOSSIBLE
e) Somebody you know is left-handed
LIKELY
a) Impossible
In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.
b) Unlikely
The chance of snow in June in Florida
c) Certain
“Head or Tail' is a certain event connected with tossing a coin
d) Likely
The sharp knife will cut his finger
e) Very likely
Since it is sunny and hot, it is I will go to the pool today.
help if you can I'm struggling with this i only get half of it right
Answer:
Does order matter? No.
There are 4 items. He will choose 3.
This is a combination because order does not matter. (I need the options for the blank part)
The completed formula is 4C3=4×3×2=24
The probability that Simon will choose the 3 coins that equal $0.40 is 5/6. (Enter your answer as a reduced fraction using / for the fraction bar.
What is the volume, in terms of π, for a cylindrical
container with a radius of 3.25 centimeters and a
height of 10 centimeters? (use the formula V
= I1r2 h)
Answer:
[tex]105.625\pi cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]
Answer in terms of [tex]\pi[/tex]
[tex]105.625\pi cm^3[/tex]
Select the polynomial that is a perfect square trinomial. 9x2 + 9x + 1 36b2 − 24b + 8 16x2 + 24x + 9 4a2 − 10a + 25
Answer:
16x² + 24x + 9
Step-by-step explanation:
16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth’s statement?
Answer:
D)She may not be correct because means cannot be determined from Box plots.
Step-by-step explanation:
Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,
Box plot tells us about :
1) Mininmum value
2) 25th Percentile value
3)Median
4) 75th Percentile value
5)Maximum value
6) Interquartile Range
Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.
So,Option D is true
She may not be correct because means cannot be determined from Box plots.
Answer:
She may not be correct because means cannot be determined from the box plots
Step-by-step explanation:
Use Cavalieri’s principle to compare the volume of the cone and triangular pyramid.
A) cone has a larger volume
B) triangular prism has a larger volume
C) triangular prism has one-third the volume
D) cone and triangular prism have equal volumes
Answer:
D
Step-by-step explanation:
factor the expression. x^2+11x+28
Answer:(x+4)(x+7)
Step-by-step explanation:
The middle number is 11 and the last number is 28.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 11
Multiply together to get 28
Can you think of the two numbers?
Try 4 and 7:
4+7 = 11
4*7 = 28
Fill in the blanks in
(x+_)(x+_)
with 4 and 7 to get...
(x+4)(x+7)
3
gathered at
There were 632
animals
the river. A herd of
187 elephants and
266 zebras left the
river area. How
many animals were
still at the river?
Answer:
179
Step-by-step explanation:
The total number of animals in the river was 632.
A herd of 187 elephants and 266 zebras left the river area.
Adding them up, the total number of animals that left the river area is:
187 + 266 = 453
Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:
632 - 453 = 179
What is a salesperson's commission on a $1000 sale if the commission rate is 20%?
