Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
Help! What does x equal???
Answer:
x = 20/9
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 3.
and you should get this :P
Answer: X=20/9
beacause x eqauls to 4/3 times 53/3
Which angle corresponds to the angle?
9514 1404 393
Answer:
C
Step-by-step explanation:
Corresponding angles are listed in the same order in the mapping statement.
C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.
angle C' corresponds to angle C
As part of a survey of college students a researcher is interested is the variable, class standing. She records a '1' if the student is a freshman, a '2' if the students is a sophomore, a '3' if the student is a junior, and a '4' if the student is a senior. The variable, class standing is:________.
a. both categorical and quantitative
b. quantitative
c. categorical
d. none of the above
Answer:
c. categorical
Step-by-step explanation:
Categories of the record
1 2 3 4
Freshman Sophomore Junior Senior
This is simply a categorical arrangement of students in the college by the researcher who is interested in the variable, class standing. So option C is correct
Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?
x squared over 8 plus y squared over 4 equals 1
x squared over 16 plus y squared over 4 equals 1
x squared over 8 minus y squared over 4 equals 1
x squared over 16 minus y squared over 4 equals 1
Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
Michelle has starting balance on a gift card for $300. She buys several dresses at $40 a piece.After her purchase she has $140 left on her gift card.How many dresses did she buy?
Answer:
4!
Step-by-step explanation:
40 x 4 = 160
160+ 140 = 300
Answer:
4 dresses
Step-by-step explanation:
If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.
(hope this helps!)
One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. a) Andrew did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded
Answer:
[tex]Probability = \frac{1}{792}[/tex]
Step-by-step explanation:
Given
[tex]Questions = 12[/tex]
[tex]Selection = 5[/tex]
Required
Probability of grading the selected 5 by Andrew
First, we need to determine the total number of selections.
This is calculated as: [tex]^{12}C_{5}[/tex]
Solving further:
[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]
[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{95040}{120}[/tex]
[tex]^{12}C_{5} =792[/tex]
There is only 1 for Andrew's question selection.
So, the required probability is:
[tex]Probability = \frac{1}{792}[/tex]
What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1
Step-by-step explanation:
Tr+1 = nCr * a^(n-r) * b^r.
Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.
=> 1, 6, 15, 20, 15, 6, 1.
You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.
A bear has a mass of
126 kg. It is up in a
tree that is 2 m high.
How much potential
energy does the
bear have?
Answer:
2469.6 Joules
Step-by-step explanation:
help pls it’s due today
Answer:
first one is 3/12 and second one is8/ 12
True or False: The following table is proportional
Answer:
True
Step-by-Step
When the x was 2, the y was 11.
When the x was 4, the y was 19.
So for every two on the x side, the y side adds 8.
So yes, there's a pattern AKA, this a proportional table.
Hope this helped! :)
Anyone know how to solve these
Answer:
1: 64π
2: 49π and 153.86
Step-by-step explanation:
For the first one we know that it has a diameter of 16 which means it has a radius of 8 (half the diameter)
To find the area of a circle use the following formula
π*r² where r is the radius
This means that the first answer is π*8^2
which is 64π
For the second one it's the same deal but the radius is 7
so the answer is 49π
If m∠Y = 107° and m∠Z = 33°, what is m∠X?
(Start with the sum of the angles of a triangle
and work backwards.)
A. m∠X = 27° C. m∠X = 33°
B. m∠X = 40 D. m∠X = 120
Answer:
B would be the answer.
Step-by-step explanation:
Use what they said. All angles in a triangle would sum to 180 degrees.
So based on that, 107 + 33 + <x = 180
140 + <x = 180
<x would then be 40 degrees
A square has sides of 10cm. what is its area?
Answer:
100 cm²
Step-by-step explanation:
In a square
length of the sides (L) = 10 cm
Area of square (A) = L² = ( 10 ) ² = 100 cm²
Answer:
100cm^2
Step-by-step explanation:
10×10 is 100
so it's 100cm squared
simplify 5a+3a ???????
Answer:
8a
Step-by-step explanation:
group all similar terms
3a + 5a = 8a
what is the equation of the line passing through the points 2/5 19/20 and 1/3 and 11/12 is a slope intercept form
Answer:
y= (1/2)x+(3/4)
Step-by-step explanation:
Which is more, 5 meters or 4,996 millimeters?
Answer:
5 meters in milli is 5,000. 5,000 is more than 4996
Step-by-step explanation:
Answer:
5 meters
Step-by-step explanation:
one meter equals 1000 millimeters so obv 5 meters is bigger
3y−3x= 21 standard to slope intercept form
Answer:
y=x+7
Step-by-step explanation:
Which inequalaty Is shown in this grap
Answer:
C. y ≤ -2x - 2Step-by-step explanation:
Lets analyze the graph:
1. It is decreasing function as line goes down as x-value increases. It means the slope is negative. We have two same negatives: -22. Line is solid, so the inequality sign is either ≤ or ≥3. Shaded region is 'under' the line, it means the sign is ≤Based on above observations and the fact that all have same y-intercept of -2, we can say required inequality is:
y ≤ -2x - 2Correct option is C
A three member band decided they wanted new outfits shirts cost $15 each pants cost 36 each and shoes cost 49 each what is the total cost of the new outfits for all of the members
Answer: $300
Step-by-step explanation:
3 (15) + 3 (36) + 3 (49)
45 + 108 + 147
300
The total cost is $300
5. (06.01)
Evaluate the expression 5^3 - (13 – 8) x 2. (4 points)

Answer:
=21.2
Step-by-step explanation:
53/(13-8)*2
=53/5*2
=10.6*2
=21.2
Answer:
21.2 i got this correct on my test
Step-by-step explanation:
Jerritt has 5 friend . 2 have video game and the rest have dont have any. He gives Leonard 2 of his video game. Know Jerritt has 2 video game. How many of Leonard friend dont have video game?
Answer:
3
Step-by-step explanation:
hdvrgxgvsjvdthvdrggxjtevhrrvbh
Bacteria tend to grow very fast in a Petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is given by N(t)=-2°+92 +625, where !
represents the hours since 625 bacteria were introduced to the Petrì dish. Determine the maximum number
of hacteria that occur in the dish.
Answer:
6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /
represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t
of bacteria that occur in the dish.
Step-by-step explanation:
t= -92/-2(2) =23
N (23) power 2 +92(23) + 625 =1628
my hands are paining by typing
please make me as brainleist
one number is three times of the other and their arithmetic mean is 10 find them
Step-by-step explanation:
data
let the unknown numbers = x and y respectively
y is 3 × greater than x so, y = 3x
x+y/ 2 = 10
solution:
x + 3x= 10
4x=10
divide both sides by 4
x=4/10 or 2 1/2PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!
Answer:
NO
Step-by-step explanation:
The answer is no because the first column is 1 times 1 which is 1. The second column is 2 times 1 which is not 4. So this table is not proportional.
Please mark brainlliest if you want.
Please help this is due today
Show work please
Answer: ↓↓↓Btw sorry its not in order
Step-by-step explanation:
m∠62 and ∠g are vertical angles so they're congruent.
∠g = 62°
∠f and m∠62 are linear pairs so they're supplementary
∠f + 62 = 180
∠f = 118°
∠e is a right angle and is supplementary to a 90° angle
∠e = 90°
Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle
x + ∠e + m∠28 = 180°
x + 90 + 28 = 180
x + 118 = 180
x = 62°
∠h ≅ x
∠h ≅ 62
∠h = 62°
∠b and m∠28 are vertical angles so they're congruent.
∠b ≅ m∠28
∠b = 28°
∠b and ∠a are linear pairs so they are supplementary.
∠a + ∠b = 180
∠a + 28 = 180
∠a = 152°
∠c and ∠a are corresponding angles so they're congruent.
∠c ≅ ∠a
∠c ≅ 152
∠c = 152°
∠c and ∠j are vertical angles so they're congruent.
∠j ≅ ∠c
∠j ≅ 152
∠j = 152°
The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.
z ≅ y
z ≅ 152
z = 152°
Z has a bisector meaning the two angles that formed because of the bisector are congruent.
∠d and the other angle add up to 152°. They're equal.
∠d = 152 ÷ 2
∠d = 76°
Hope I helped!
What is the image of (6,-7) after a reflection over the line y=x
find the value of x in the figure
Answer:
25°
Step-by-step explanation:
from the triangle on the left, angles BAD and BDA are equal
angles in a triangle add up to 180°
so 180 - 80 = 100 /2 = 50°
now the straight line ADC angle is 180°
so 180° - 50° = 130 ° for angle BDC
the angle for x is the same as angle DBC
for the triangle on the right angles must add up to 180°
180 - 130 = 2x
50 = 2x
25° =x
Answer:
50
Step-by-step explanation:
let a,b
a=b being base angles.of isoceles triangle
80+a+b=180 sum of angles of triangle
80+a+a=180
2a=100
a=50
80+a+x=180 being sum of angles of triangle
50+a=100
x=50
Which of the expressions below has the value found farthest to the left on a
number line?
A. 7-10
B. -7 - 10
C. 10 - (-7)
D. 10 - 7
Answer:
-7 - 10
Step-by-step explanation:
The values found farthest to the left of a numbwr line are negative values, with positive values located to the right and 0 being the midpoint.
Thus positive values increase towards the right of the number line while negative values on the other hand reduces as we move farther to the left of the number line.
Hence , from the options given, - 7 - 10 gives a total of - 17 is the lowest negative value given in the option.
PLEASE ANSWER QUICK! WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
AB=99
ABC=1391
BAC=992
ACB=3301
what is the domain of g
Answer:
We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.
Thus, the domain of g is: -7 ≤ x ≤ 4
Step-by-step explanation:
We know that the domain of a function is the set of inputs or argument values for which the function is defined.
From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.
It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.
Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.
Thus, the domain of g is: -7 ≤ x ≤ 4