Answer:
Yes
Step-by-step explanation:
we move the decimal point 4 times to the right
1st time
32.2
2nd time
322
3rd time
3220
4th time
32,200
Answer:
No
Step-by-step explanation:
3.22 x 10 = 32.2
32.3 to the fourth power = 107.50
107.50 < 32,200
Therefore it is not equal to 32,200
A game is played with a spinner on a circle, like the minute hand on a clock. the circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50, and so on. the player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. if 100 players are selected randomly, how many players are expected to get between 42 and 72 seconds to solve the puzzle?
Answer:
This is marked evenly from 0 to 100
This means that the total number of possible outcomes is:
D = 101
and the set of possible outcomes is:
O = {0, 1, 2, 3, ..., 100}
Now, the probability to geting between 42 and 72 seconds is equal to the quotient between the number of outcomes between 42 and 72, and the total possible outcomes.
The number of outcomes between 42 and 72 is:
72 - 42 = 30
Then the probability is:
P = 30/101 = 0.297
Then, out of the 100 players, we can expect that:
0.297*100 = 29.7 ≈ 30
(we rounded to the next whole number)
30 of them get between 42 and 72 seconds.
What is the solution for 5x-9 is less than or equal to 21
Answer:
Step-by-step explanation:
5x - 9 <= 21
5x <=30
x <= 6
Find the equivalent expression by drawing a line from the left column to the right
Answer/Step-by-step explanation:
[tex] 2(3x - 1) = 2*3x 2*-1 = 6x - 2 [/tex]
[tex] (x*y)2 = (xy)2 = 2xy [/tex]
[tex] 2(2x - 3) = 2*2x 2*-3 = 4x - 6 [/tex]
[tex] 3x + 4x + 2 = (3x + 4x) + 2 = 7x + 2 [/tex]
[tex] 7x - 7 = 7(x) - 7(1) = 7(x - 1) [/tex]
[tex] x(6 + 9) = x(15) = 15x [/tex]
[tex] 2 + 9x + 1 + 3x = (9x + 3x) + (2 + 1) = 12x + 3 [/tex]
[tex] 4(x + 2) + x = 4x + 8 + x = 4x + x + 8 = 5x + 8 [/tex]
What is the area of the following figure: A) 30 cm 2 B) 36 cm 2 C) 18 cm 2 D) 15 cm 2
Answer:
15 cm^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
A = 1/2 ( 10) * 3
= 1/2 (30)
= 15
Answer:
D) 15cm^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
A = 1/2 ( 10) * 3
= 1/2 (30)
= 15
Numbers 1-6 please and thank you This is really hard and I really really need help. I appreciate all the help I can get.
Area of prism = base area × altitude
1. (2x²-10)(x+4)
= 3x³-2x - 40
2. Base area = 2πr
Volume = (2πr)(r²+ 5r)
=2πr³ + 10πr²
3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)
Volume= 3(x-4)(x+3)(⅓)
=(x-4)(x+3)= x² - x -12
4. Base circumference= 10π
Base radius = 10π/(2π) = 5
Base area = πr² = 25π
Volume = 25π(3x²-2x)
=125πx²-50πx
5. Volume = 3π√50
=15π√2
6. Base diameter = 16
Base radius = 16/2 = 8
Base area = 2πr = 16π
Volume = 16π(23a²)
=368πa²
A train moves at a speed of 90 km/hr. How far will it travel in 36 minutes?
Answer:
(90/60)*36 = 54 km
Step-by-step explanation:
11,9,7,5,3,1,
B) Common Difference:
Recursive Function:
D) Explicit
Function:
Answer:
The terms 11, 9, 7, 5, 3, 1 have a common difference of -2 therefore, the correct option defining the relationship between the terms is
B) Common difference
Step-by-step explanation:
The common difference between a series of numbers is found by subtracting a number from the next number following and a common difference exists when the difference between successive adjacent number pairs is the same
A sequence that has a common difference is an arithmetic sequence or arithmetic projection.
The given sequence, 11, 9, 7, 5, 3, 1, is an arithmetic sequence.
44 pounds is equivalent to_____^a0 kilograms.
Answer:
19.504
Step-by-step explanation:
divide the mass value by 2.205
hey guys i need help again with this plzz help me
Answer: A) -4
================================================
Explanation:
The 3^0 in the denominator is equal to 1. Any nonzero number raised to an exponent of 0 is always 1. So this equation x^0 = 1 is true when x is nonzero.
This allows us to simplify to the equation 3^x = 1/81
Note how 81 = 3^4. Taking the reciprocal of 81 means the exponent goes from positive to negative. So 3^(-4) = 1/81. The rule is x^(-k) = 1/( x^k ). We could use logarithms to solve 3^x = 1/81.
1. If one zero of the quadratic polynomial kx² + 3x + k is 2 then the value of k is *
Answer:
Step-by-step explanation:
Given one zero of the quadratic polynomial kx² + 3x + k is 2,
Substitute x = 2 in the polyomial , we get
k(2)²+3×2+k = 0
=> 4k + 6 + k = 0
5k+6 = 0
5k= -6
k= -6/5
Therefore,
Value of k = -6/5
A bag contains twelve marbles, which includes seven red marbles and five blue marbles. Roja reaches into the bag and pulls out four marbles. a) How many different sets of four marbles can be pulled from this bag? b) How many of these sets contain two red marbles and two blue marbles? c) How many of these sets contain all red marbles? d) How many of these sets contain all red marbles or all blue marbles?
Answer:
a) 495
b) 210
c) 35
d) 40
Step-by-step explanation:
Given a total of 12 marbles.
n = 12
Number of red marbles = 7
Number of blue marbles = 5
a) Number of different sets of 4 marbles that can be made from this bag ?
This is a simple combination problem.
where n = 12 and r = 4.
So, answer will be:
[tex]_{12}C_4[/tex]
Formula:
[tex]_{n}C_r = \dfrac{n!}{(n-r)!r!}[/tex]
[tex]_{12}C_4 = \dfrac{12!}{(8)!4!} = \dfrac{12\times 11\times 10\times 9}{4 \times 3\times 2} =\bold{495}[/tex]
b) Two red and two blue marbles:
The answer will be:
[tex]_{7}C_2 \times _{5}C_2 = \dfrac{7\times 6}{2} \times \dfrac{5\times 4}{2} =\bold{210}[/tex]
c) all red marbles.(4 chosen out of 7 red and 0 chosen out of 5 blue marbles)
[tex]_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} =\bold{35}[/tex]
d) all red or all blue.(all red marbles plus all blue marbles)
All red marbles:
[tex]_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} \times 1=\bold{35}[/tex]
All blue marbles:
[tex]_{7}C_0 \times _{5}C_4 = 1 \times \dfrac{5\times 4\times 3\times 2}{4\times 3\times 2} =\bold{5}[/tex]
So, answer is 40.
Type the correct answer in each box
the value of x is ____ and the value of y is ____ . HELP ME PLEASE
Here,
x+50°+70°= 180° [°.°Angle sum of triangle]
↪x= 180°-120°
↪x=60°
.°. x = 60°
Now,
Let z be the unknown angle of the second triangle
z+60°+50°=180° [°.° Angle sum of triangle ]
↪z=180°-110°
↪z=70°
. ° . z=70°
Then,
z+x+y= 180°
↪70°+60°+y=180°
↪y=180°-130°
↪y=50°
.°.y = 50°
Answer:
x = 60°, y = 50°
Step-by-step explanation
We know: the angles measures in a triangle add up to 180°.
(look at the picture)
z + 50 + 60 = 180
z + 110 = 180 subtract 110 from both sides
z = 70°
x + 50 + 70 = 180
x + 120 = 180 subtract 120 from both sides
x = 60°
Angles x, y, and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 subtract 130 from both sides
y = 50°
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? need to know right now ASAP!! –270 cents per week –90 cents per week –87 cents per week –30 cents per week
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
It decreased by 30 cents per week.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The average rate of change is calculated as:
the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)
Rate of change = [tex]\frac{-60 -10 -20}{3}[/tex].
(-60 + -10 + -20 = -90). So, to simplify it:
[tex]\frac{-90}{3}[/tex] = -30
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Incase you are confused:
Since the average rate of change is negative, this means that the stock price has decreased.
answer it answer it it
Answer:
answer it answer it it
answer it answer it it
Answer:
the answer is answer i hope u have a great day
(if u apricate me giive me a brainly by pressing the crown and giving me a heart) THANKS!!!
Step-by-step explanation:
The area of a rectangle is 90 ft2. If the rectangle is 9 feet long, what is its width?
Answer:
10
Step-by-step explanation:
just divide 90 by 0 and u will get the answer
Answer:
10ft
Step-by-step explanation:
To find the area of a rectangle, it is width✖️height.
Because the area and the height is given,
Area: 90ft^2
Height: 9ft.
to find the width, you need to divide 90/9=10
So, the width is 10ft.
To check just in case, you can multiply 10 ✖️9=90
Hope this helped, have a nice day!
Wo commondities A and B cost 070 and D80 respe
with 26 kg of B and the mixture issold at 085 per kg: calo
The weight (in kg) of 50 contenstants at a competition is
65 66 67 66 64 66 65 63 65 68
64 62 66 64 67 65 64 66 65 67
65 67 66 64 65 64 66 65 64 65
66 65 64 65 63 63 67 65 63 64
66 64 68 65 63 65 64 67 66 64
a. construct a frequency table for the discrete data
b. calculate, correct to 2 decimal places, the
mean,
ii. standard deviation of the data
Answer:
b) 65.08
ii) 0.75
Step-by-step explanation:
x(Kg): 62 63 64 65 66 67 68
Frequency(f): 1 5 11 15 10 6 2
xf: 62 315 704 975 660 402 136
b) mean(X) = ∑xf/N = 3254/50 = 65.08
c) x - X : -3.08 -2.08 -1.08 -0.08 0.92 1.92 2.92
(x - X)²: 9.49 4.33 1.17 0.0064 0.85 3.69 8.53
ii) Standard deviation(S.D.): √(∑(x - X)²/N = √(28.0664)/50 = √0.5613
∴ S.D.= 0.75
find the equation of the line of gradient 3 which passes through the point (0, 2).
Answer:
The answer is y = 3x + 2Step-by-step explanation:
To find the equation of the line given a point and the gradient, the formula to use is
y - y1 = m(x - x1)
where
m is the gradient and
( x1 , y1) is the point
From the question
The point is (0 , 2)
The gradient is 3
Substitute the values into the above formula
That's
y - 2 = 3( x - 0)
y - 2 = 3x
The final answer is
y = 3x + 2Hope this helps you
Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and by degree. A.Third degree polynomial B.Fourth degree trinomial C.Second degree trinomial D.Sixth degree polynomial
Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)
Answer:
C) 6x³ - 24x² + 9x + 30
Step-by-step explanation:
(3x - 6)(2x² - 4x - 5)
3x • 2x² = 6x³
3x • -4x = -12x²
3x • -5 = -15x
-6 • 2x² = -12x²
-6 • -4x = 24x
-6 • -5 = 30
Combine terms.
6x³ - 12x² - 15x - 12x² + 24x + 30
Combine like terms.
6x³ - 24x² + 9x + 30
Learn with another example:
https://brainly.com/question/28001380
please help on this too
Answer:
The correct option is;
Multiplication Property of Equality
Step-by-step explanation:
The multiplication property of equality states that the product of both sides of an equation by a given number maintains the equality of the sides of the equation
For example, two containers hold the same volume of water, if the volume of water in each of the containers is doubled, they will still hold the same volume on each side.
For the given question, we have;
TR = UI then 3·RT = 3·UI
We have the same value of the multiplier on both sides of the equation therefore, the value of the result of the multiplication will also be the same on both sides of the equation.
Answer:
multiplication property of equality
Step-by-step explanation:
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
Both sides were multiplied by 3 which still makes them equal
2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle
School
How many students at Hamilton Middle School have red hair?
Answer:
14 students
Step-by-step explanation:
We can set up a percentage proportion to find 2% of 700.
[tex]\frac{x}{700} = \frac{2}{100}[/tex], and we can use the cross products property to find the value of x.
[tex]700\cdot2=1400\\\\1400\div100=14[/tex]
Hope this helped!
Answer:
14 students
Step-by-step explanation:
If two percent of Hamilton Middle School students have red hair, it means that the number of students who have red hair is given by (0.02) * (700) =14 students.
What the answer question
Answer:
Surface area = 373.66Step-by-step explanation:[tex]T.S.A = \pi r(r+l)\\l = 10mm\\r = 7mm\\\\T.S.A = 3.14 \times 7(7 + 10)\\= 21.98(17)\\T.S.A = 373.66\\\\T.S.A = 373.66[/tex]
A gear ratio is the ratio of the teeth on the rear sprocket. If a bike has 36 teeth on the front and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer: the ratio of the bike is 3
Step-by-step explanation:
its simply easy all you have to do is divide 36/12
Hey There!!
The answer to this is: (3:1) 36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1).
Hope It Helped!~ ♡
ItsNobody~ ☆
a. Give Tommy your estimate of 0.27 probability in ratio form.
Answer:
0.27 expressed in ratio form is 27:100
Step-by-step explanation:
Before we give Tommy the estimate of 0.27 probability in ratio form, we shall need to turn 0.27 to fraction
Mathematically, that would be 27/100
Now expressing this in ratio form, we will have 27:100
What value of x is in the solution set of –5x – 15 > 10 + 20x? –2 –1 0 1
Answer:
-2
Step-by-step explanation:
5x – 15 > 10 + 20x
Subtract 5x from each side
5x – 15-5x > 10 + 20x-5x
-15 > 10+15x
Subtract 10 from each side
-15-10 >15x
-25 > 15x
Divide each side by 15
-25/15 > x
-5/3 > x
X must be less than -1 2/3
The only value that is less than -1 2/3 is -2
Answer:
x< -5/3x is less than -5/3 , so answer = -2Step-by-step explanation:
[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]
HELP I WILL NAME YOU BRAINLIEST!! Given: Circumscribed polygon ACEG B, H, F, D -points of tangency AB=5, CD=4, DE=3, FG=2 Find: Perimeter of ACEG
Answer:
perimeter = 28
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
AH = AB = 5
GH = GF = 2
EF = ED = 3
CB = CD = 4
Sum the 8 parts for perimeter of polygon ACEG
perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28
What is the rule for the transformation below?
=================================================
Explanation:
The translation notation T(-5, 3) looks like an ordered pair point, but it is not. Instead, it is a rule to tell you how to shift any point left/right and up/down. The first number is the left/right shifting as its done along the x axis. The negative value means we shift left, so we shift 5 units to the left. The positive 3 in the y coordinate place means we shift 3 units up.
We see this shifting happen when we go from
A = (-1, -1) to A ' = (-6, 2) B = (2, 3) to B ' = (-3, 6)C = (5, -3) to C ' = (0, 0)The translation notation T(-5, 3) is the same as writing [tex](x,y) \to (x-5, y+3)[/tex] which may be a more descriptive notation to use, and it would avoid confusion with ordered pair point notation.
Each company’s monthly billing policy has an initial operating fee and charge per text message. Sprint charges $29.95 monthly plus .15 cents per text, AT&T charges $4.95 monthly plus .39 cents per text. Create equations for the two cell phone plans.
Answer:
For Sprint
Cell phone plan would be;
$29.95 + $0.15n
For At & t
we have;
$4.95 + $0.39n
Step-by-step explanation:
Okay , here in this question, we are interested in creating equations for the cell phone plans.
Let’s start with Sprint
Sprint charges $29.95 monthly and $0.15 per text message.
Let the number of text messages sent be n
So the value of the cell phone plan will be;
$29.95 + $0.15(n) = $(29.95 + 0.15n)
For the At& t
Let the number of texts sent per month be n
The monthly plan is thus;
$4.95 + $0.39n
5000 x 10 x 10 x 50
Answer:
5000 x 10 x 10 x 50 = 25000000
Step-by-step explanation:
you can just use a calculator....
Answer:
25000000
Step-by-step explanation:
Number17) Find length of CD.
Answer:
2.4
Step-by-step explanation:
similar triangles
Therefore
4/CD = 5/3
CD= 12/5
A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long will it take to fill the pool to a depth of 20cm?
Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be = [tex]\pi r^{2}h[/tex]
Where r= radius of the pool = 115/2 = 57.5cm
h = depth of the pool =20 cm
The volume of the pool will be [tex]\pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}[/tex]
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm
