Answer:
2.Ellipse
Step-by-step explanation:
The given equation represents an ellipse.
Standard form of ellipse is given as:
[tex] \frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\
\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\[/tex]
Numa caixa ha 8 bolas verdes ,5 bolas vermelhas e 2 bolas azuis. Tira se ao acaso uma bola da caixa. Calcula a probabilidade da bola saida ser: verde ; vermelho; azul : verde ou azul; nao verde
Responda:
P (verde) = 8/15
P (vermelho) = 1/3
P (azul)). 2/15
P (verde ou azul) = 2/3
P (não verde) = 7/15
Explicação passo a passo:
Dado o seguinte:
Número de bolas verdes = 8
Número de bolas vermelhas = 5
Número de bolas azuis = 2
N (verde) = 8
N (vermelho) = 5
N (azul) = 2
Portanto, número total de bolas;
N (total) = 8 + 5 + 2 = 15
Probabilidade = número de resultados requeridos / Total de resultados possíveis
1.) Probabilidade de escolher uma bola verde:
P (verde) = número de bolas verdes / número total de bolas
P (verde) = 8/15
2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas
P (vermelho) = 5/15 = 1/3
3) Probabilidade de pegar uma bola azul:
P (azul) = número de bolas azuis / número total de bolas
P (azul) = 2/15
4) probabilidade de verde ou azul:
P (verde ou azul) = P (verde) + p (azul)
P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3
P (não verde) = 1 - P (verde)
P (não verde) = 1-8/15
P (não verde) = 7/15
Jon has 5 pairs of socks in his suitcase. What type of number is given here? 1. Whole, integer, rational, real 2. Integer, rational, real 3. Natural, whole, integer, rational, real 4. Rational, real
Answer: 3. Natural, whole, integer, rational, real
Answer:
Answer 3: Natural, whole, integer, rational, real
Step-by-step explanation:
Which fraction is not equivalent to 7/8
Answer:
C. 15/16
Step-by-step explanation:
A. Divide by 3
B. Divide by 5
C. Can't divide by anything.
D. Divide by 4
Answer:
C
Step-by-step explanation:
21/24 = 7/8
35/40 = 7/8
7/8 ≠ 15/16
14/16 ≠ 15/16
28/32 = 7/8
Which of these tables represents a non-linear function? A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.
Answer:
Option C.
Step-by-step explanation:
In a linear function, the change in y-values with respect to x-values is constant.
We need to find table from the given tables which represents a non-linear function.
In option A, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option B, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option C, x is increasing by 1 unit but y is not decreasing by same units. So, rate of change is not constant.
In option D, x is increasing by 1 unit and y is increasing by 1 unit. So, rate of change is constant.
Only in option C, the rate of change is not constant. So, it represents a non-linear function.
Therefore, the correct option is C.
Answer:
The Correct Answer would be C
Step-by-step explanation:
Expand. If necessary, combine like terms. (x+5)(x−5)
Answer:
x²−25
Step-by-step explanation:
CLT:
Apply the formula (a-b)(a+b) = a^2*b^2. Substitute 'x' for 'a' and y for 'b'.
(x+5)(x−5)
=(x+5)(x+−5)
=(x)(x)+(x)(−5)+(5)(x)+(5)(−5)
=x²−5x+5x−25
=x²−25
Thats a lot of x's
Hope this helps!
If it does please give me a 'thanks'
Answer:
[tex]x^{2} -25[/tex]
Step-by-step explanation:
[tex](x+5)(x-5)[/tex]
[tex](x*x)(x*-5)(5*x)(5*-5)[/tex] multiply the insides by their opposites
[tex]x^{2}-5x+5x-25[/tex] this can also be shown as [tex]x^{2}+5x-5x-25[/tex]
[tex]x^{2} -25[/tex] the [tex]5x[/tex] and [tex]-5x[/tex] cancle each other out
You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of data. Create an equation for the situation above.
Answer:
B(x) = 2x + 3
Step-by-step explanation:
Given:
Amount used = 3 GB (constant term)
Additional amount for each stream = 2 GB (slope)
Total bandwidth used for x streams
B(x) = 2x + 3
Help someone please!! Ty
Answer:
Option (B)
Step-by-step explanation:
Let the five distinct positive integers are a, b, c, d, e.
Average of these five integers is 20.
[tex]\frac{a+b+c+d+e}{5}=20[/tex]
a + b + c + d + e = 100
If these integers are in the increasing order,
Median of these integers 'c' = 12
If the sum of d and e is the largest then the sum of a and b will be the smallest.
Therefore, the smallest positive integers a and b will be,
a = 1 and b = 2
1 + 2 + 12 + d + e = 100
15 + d + e = 100
d + e = 100 - 15
d + e = 85
Since d will be greater than the median c,
d > c
d > 12
For the largest value of integer 'e', value of 'd' will be minimum.
The least value of d will be = 13
Then, 13 + e = 85
e = 85 - 13
e = 72
{a, b, c, d, e} = {1, 2, 12, 13, 72}
Therefore, the largest possible number is this set will be 72.
Option (B) will be the answer.
A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °
Answer:
[tex]m\angle 1 =105^\circ\\m\angle 2 =75^\circ[/tex]
Step-by-step explanation:
The diagram is drawn and attached below.
From the diagram
[tex]m\angle 2 =75^\circ $ (Alternate Angles)[/tex]
[tex]m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ[/tex]
Answer:
m<2: 75
m<1: 105
Step-by-step explanation: On edge 2021
Hope this helps!
Please help
Determine the dependence between the quantities for the given graph.
Package Delivery
Charges
Total Cost ($)
→X
Weight of the Package
(in pounds)
Answer:
The total cost depends on the weight of the pacakge
A jar holds 80 fluids ounces of juice. The label says the jar has 10 servings. How many fluid ounces are needed for 80 servings?
Answer:
640 fl oz
Step-by-step explanation:
80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.
So you would multioply 80 by 8 to find the amount of juice needed for 80 servings. 80*8= 640
Which of the following has 4 congruent sides? Mark all the correct
answers.
[mark all correct answers]
a. Square
b. Rectangle
C. Rhombus
d. Parallelogram
Answer:
A and C
Step-by-step explanation:
The shapes that have 4 congruent sides are squares and rhombi.
Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. ( 2X + 15=37 - 2) Write an equation showing how old Ryan is. Solve it fi you can and show your work. 10X - 8 = 9X + 8 solve and show your work
Answer:
1) 10
2) 16
Step-by-step explanation:
1) 2x+15=37-2
2x+15=35
2x=35-15
2x=20
2 2
x=10
2)10x-8=9x+8
10x-9x=8+8
x=16
Hope this helps ❤
what is the value of n
Answer:
c. 38
Step-by-step explanation:
A line is perpendicular to y = {2/3x + 2/3}
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = - x + [?]
Answer: y = (-3x/2) + 1
Step-by-step explanation:
From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.
Hence the equation will be
y = (-3x/2) + c
As this line passes through (-2,4), putting these values in this equation gives c = 1.
Hence the answer is y = (-3x/2) + 1
Help me plz figure this out.
Answer:
B
Step-by-step explanation:
YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
can some one help me in this please
Step-by-step explanation:
The least number is 11
N = 11
99 x n = 99 x 11 = 1089
Which is a perfect square
Una persona adeuda $15.000.000 que ya incluye intereses y debe pagarlos dentro de 8 meses. Si hace un pago de $3.000.000 dentro de 2 meses. ¿Cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual?
Answer:
$15,000,000
Step-by-step explanation:
Fórmula de intereses = P × R × T
P = $15,000,000
R = 30% anual = 0.3
T = 8 meses = 8/12 = 0.6667
Intereses = $15,000,000 × 0.3 × 0.6667
Intereses = $3,000,000
Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000
= $18,000,000
Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual
= $18,000,000 - $3,000,000
= $15,000,000
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The radicals should be negatives of each other
Step-by-step explanation:
When we get solutions that are radicals, they have to be in the form
a+ sqrt(b) and a- sqrt(b)
His answer is a + sqrt(b) and -a - sqrt(b)
The variables a and b vary inversely. Use the given values for a and b to write an equation relating a and
b.
a=2; b=5
Answer:
xy=10
Step-by-step explanation:
Vary inversely means x and y have a constant product. The graph is not a straight line. We find the product from the given set of values a=2, b=5 to get ab=10. Therefore xy=10 is the equation.
Can someone please help me I really need help please help me thank you
Answer:
The initial value of the computer
Explanation:
The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.
Please answer it now in two minutes
Answer:
44
Step-by-step explanation:
Tan v=opp/adj 18s/19s=0.947
v=44 degrees (approximately)
angle T=180 - (90+44)
angle T= 46
help me I need this answer asap pls :(
State a simplified algebraic expression that has exactly 3 different variables, exactly 4 terms, and has a degree of 7. Each term must contain at least two variables.PLZ ANSWER ASAP
Answer:
[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]
Step-by-step explanation:
It is required that the algebraic expression has exactly 3 different variables
Let our variables be x, y and z.Since it must have a degree of 7, the highest power in the expression will be 7.
Therefore, an example of such an algebraic expression will be:
[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]
I need help with my homework help me please
Answer:
a. 17
b. 50
c. 9
Step-by-step explanation:
Simply replace the variables with the given numbers:
3(5) + 2
15 + 2
17
2(5)²
2(25)
50
(5 - 2)²
3²
9
Answer:
a) 17
b) 50
c) 9
Step-by-step explanation:
x = 5; y = 2
a) 3x + y
b) 2x^2
c) (x - y)^2
a) 3x + y = 3(5) + 2 = 15 + 2 = 17
b) 2x^2 = 2(5^2) = 2(25) = 50
c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9
Please Help!! And Fast!! Will give Brainliest to the Best Answers (75 points) --- The historical society hired an artist to restore a stained glass window panel. After studying the original drawings, the artist knows that panel ABCD is square. He also knows that FG is a perpendicular bisector of BC and BC ≅ BE. However, in order to restore the panel to match its original specifications, he needs to know the measure of ∠BED. Given: ABCD is a square FG ⊥ BC BC ≅ BE Step 1: Draw EC on the diagram. Use the given information to explain how you know △EGC ≅ △EGB. Add the appropriate notation to the diagram. (5 points) Step 2: Building on the information from Step 1, use the spaces below to prove that m∠BEC = 60°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Statements Reasons 1. △EGC ≅ △EGB 1. Given 2. EB ≅ EC 3. Given 4. EB ≅ EC ≅ BC 5. m∠BEC = 60° Step 3: Next, use the spaces below to prove the measure of ∠ECD = 30°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° Prove: m∠ECD = 30° Statements Reasons 1. △BEC is equilateral 2. m∠GCE = 60° 3. ABCD is a square 4. Substitution Step 4: Find m∠BED. Show your work and explain your reasoning. Add the appropriate notation to the diagram. (6 points; 4 points for showing work and explaining reasoning; 1 point for final answer; 1 point for diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° △ECD is isosceles Find: m∠BED
Answer:
see the first attachment for the diagramsee the second attachmentsee the third attachmentm∠BED = 135°Step-by-step explanation:
1. We have added marks to the diagram indicating that FG is a perpendicular bisector of BC. These hash marks and angle indicator are shown in the first attachment.
__
2. The proof that ∆BCE is equilateral, so all its angles are 60°, is shown in the second attachment.
__
3. The proof that m∠ECD = 30° is shown in the second attachment.
__
4. We know △ECD is isosceles because CE ≅ CD. Since the angle at C is 30°, the base angles at D and E are (180° -30°)/2 = 75°.
The angle of interest, ∠BED, is the sum of angles DEC (75°) and CDB (60°). Hence, ...
m∠BED = 75° +60° = 135°
m∠BED = 135°
Stu Dent received scores of 85, 78, and 81 on his first 3 exams in Algebra 1. What is the lowest score does Stu has to get on his 4th exam, so his test average would be at least an 84?
Answer:
92
Step-by-step explanation:
Given
Scores: 85, 78, 81
Required
Determine the least score in 4th subject is average must be at least 84
To solve this, we'll make use of Mean formula.
Mean = Sum of observations/Number of observations
We have that; Average = 84
Number of subjects = 4
Let the 4th subject be represented by F;
So, the sum of the four Subjects is:
Sum = 85 + 78 + 81 + F
Sum = 244 + F
Substitute these values in the above formula.
84 = ¼(244 + F)
Multiply both sides by 4
4 * 84 = 4 * ¼(244 + F)
336 = 244 + F
Subtract 244 from both sides
336 - 244 = 244 - 244 + F
92 = F
F = 92
To have an average of at least 84, Su's score must be atleast 92
Please help, tysm if you do :)
The length of a rectangle is 2 cm less than three times the width. The perimeter of the rectangle is 92 cm. Find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
The answer is B. 12,34 cm .....:)
Helppp!!!! please!!!
Answer:
[tex]245[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
If Every side is 7cm, that means that every side is congruent to the other.
So,
[tex]7[/tex]×
There are basically 5 squares, counting the one in the middle.
So, we will multiply 49 by 5.
[tex]5[/tex]×[tex]49[/tex]=[tex]245[/tex] [tex]cm^{2}[/tex]
Hence, your answer will be [tex]245[/tex] [tex]cm^{2}[/tex]