Answer:
5 * 10^2 times greater
Step-by-step explanation:
Here , we want to know how many times bigger is a certain number relative to another
What we have to do here is to make a division
We will have to divide (3 * 10^7) by (6 * 10^4)
That is;
(3 * 10^7) / (6 * 10^4) = 0.5 * 10^7/10^4
= 0.5 * 10^3 = 5 * 10^2
Please help, due soon. Find the length of each arc. Use exact answer
Answer:
C
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{285}{360}[/tex]
= 2π × 18 × [tex]\frac{19}{24}[/tex]
= 36π × [tex]\frac{19}{24}[/tex] ( cancel 36 and 24 by 12 )
= 3π × [tex]\frac{19}{2}[/tex]
= [tex]\frac{57\pi }{2}[/tex] → C
Use the quadratic formula to solve for x.
6x²-3x=1
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If we know the quadratic formula, the quadratic formula is
x = [-b ± √(b²- 4ac)] / 2a
Gosh! So overwhelming! But let's look at the composition of a quadratic equation:
ax² + bx + c = 0
And we have 6x² - 3x = 1. So, what do we do? We need to put this quadratic equation into an easy form to find the value of a, b, and c to plug in to the equation.
We can just minus one on both sides to get this:
6x² - 3x - 1 = 0
Is it in the form of ax² + bx + c? Yes! a = 6, b = -3, and c = -1. Now, all we have to do is plug it into the quadratic formula.
x = [-b ± √(b²- 4ac)] / 2a
x = [-(-3) ± √((-3)²- 4(6)(-1))] / 2(6)
[3 ± √(9- 4(6)(-1))] / 12
[3 ± √(9 + 24)] / 12
[3 ± √(33)] / 12
At this point, we should just use a calculator, and recognize we have two answers because of the plus-or-minus sign! (or this sign: ±)
[3 ± √(33)] / 12
1) [3 + √(33)] / 12 = 0.73 approximately
2) [3 - √(33)] / 12 = -0.23 approximately
So, x=0.73 and x= -0.23.
Si el recíproco del m% de p se divide por el recíproco del m% de q resulta: A) pq/100 B)pq C)1/pq D)p/q E)q/p
Answer:
E) q / p
Step-by-step explanation:
Spanish
m% de p = pf / 100
m% de q = mq / 100
El recíproco se obtiene haciendo que el numerador sea el denominador y el denominador el numerador.
El recíproco de m% de p = 100 / mp
El recíproco de m% de q = 100 / mq
Divisor
100 / mp / 100 / mq
= 100 / mp * mq / 100
= mq / mp
= q / p
English
If the reciprocal of m% of p is divided by the reciprocal of m% of q, the result is: A) pq / 100 B) pq C) 1 / pq D) p / q E) q / p
m% of p= mp/100
m% of q= mq/100
The reciprocal is obtained by making the numerator the denominator and the denominator the numerator
The reciprocal of m% of p= 100/mp
The reciprocal of m% of q= 100/mq
Dividing
100/mp/ 100/mq
=100/mp* mq/100
= mq/mp
= q/p
Consider the function f(x)=2x√3. For what value of x does f(x)=10?
Answer: 34.64
Step-by-step explanation: you multiply 10 and 2 and that gives you 20 and then u square root 20 and 3 and you get your answer.
Plz solve this question
7). 1/(√7-√11)
= 1×(√7+√11)/(√7-√11)(√7+√11)
= √7+√11 / (√7)² - (√11)²
= √7 + √11 / 7 - 11
= √7 + √11 / (-4)
EXPLAINATION:
to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.
For example - in the first question we multiplied 1 and √7 - √11 by √7 + √11 .
Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her checkbook as an $8.50 deposit. Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions. Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.
Answer:
Part A
The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while
The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add
Part B
The absolute value of a number is never negative.
|-8.50| = 8.50
Step-by-step explanation:
Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.
The firsts transaction says:
She wrote a check for $8.50 to rent a video game.
Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.
Mathematically this means, -$8.50
The second transaction states that:
She mistakenly recorded it in her checkbook as an $8.50 deposit.
Mathematically, a deposit means a positive action, where money is added to the money in her bank account.
Hence,
+$8.50
Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.
In mathematics it is important to note that:
The absolute value of a number is never negative.
Hence,
Debt of $8.50 = -8.50
Deposit of $8.50 = +8.50
Hence,
|-8.50| = 8.50
(6, - 3, 1) and (8,9,-11) find the angle between the vector
Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.
Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:
[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:
[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]
[tex]\theta \approx 84.813^{\circ}[/tex]
The angle between the two vectors is 84.813°.
Calculate the volume of the shaded space. Round to the nearest tenth, if necessary.
Answer:
Volume of the shaded space = 4480.0 yd³
Step-by-step explanation:
Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside
Volume of cuboid = Length × Width × Height
= 28 × 12 × 20
= 6720 yd³
Volume of pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}(28\times 12)(20)[/tex]
= 2240 yd³
Volume of the shaded space = 6720 - 2240
= 4480.0 yd³
The rectangle ABCD is reflected across the y-axis. What are the
coordinates of the vertex A'?
!!!!!!!PLEASE HELP I DNT UNDERSTAND!!!!!! WILL GIVE BRAINLYIEST
Answer:
11. 8/30
Step-by-step explanation:
add all the marbles
you get 30 marbles
then the probability of yellow being taken out is 8
3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with
Answer:
x = total pencils = 400 pencils
Step-by-step explanation:
Let
x = total pencils
Pencils sold in the morning = 3/5x
Remaining pencil = x - 3/5x
= 5x-3x/5
= 2/5x
Pencils sold in the afternoon = 1/4 of the remainder
= 1/4 * 2/5x
= 2/20x
= 1/10x
Pencils sold in the afternoon = 1/10x
3/5x + 200 = 1/10x
3/5x - 1/10x = 200
(6x-x)/10 = 200
5/10x = 200
1/2x = 200
x = 200 ÷ 1/2
= 200 × 2/1
x = 400 pencils
x = total pencils = 400 pencils
The model below has an area of 16 square units which expression represents the side length of the model in units /64 /4 /16 /8
Answer:
4
Step-by-step explanation:
the area of a square = length²
16 = length²
find the square root of both sides of the equation
length = 4
If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?
Answer:
42
Step-by-step explanation:
We know that 10x + 6y = 7, and so
6(10x + 6y) = 6(7) = 42
a. The product of p and 48
How would I write this as an algebraic expression
Answer:
p * 48
Step-by-step explanation:
Lets break this down into something simpler
"The product"
answer to a multiplication problem
"of"
to multiply
"p"
an unknown value
"48"
factor
can someone please help asap
Answer:
I'd have to say, C: 13
Step-by-step explanation:
Answer:
C. 13 meters
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]c^{2} = 12^{2} + 5^{2}[/tex]
12 x 12 = 144
5 x 5 = 25
[tex]c^{2} = 144 + 25[/tex]
[tex]c^{2} = 169[/tex]
[tex]\sqrt{c^{2} } = \sqrt{169}[/tex]
c = [tex]\sqrt{169}[/tex]
169 ÷ 13 = 13
1 [tex]\sqrt{13 m}[/tex]
Please let me know if this helps!
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
A square shaped patio has an area of 256 ft 2 what are the dimensions of the patio
Step-by-step explanation:
√256
it's a 16in x16in patio
all four sides are 16
PLEASE NEED HELP FAST!!
Buying one item at regular price and buying a second identical item for 50% off is the same as buying both items for 25% off.
If the regular price of an item is x dollars, which equation illustrates this relationship?
O A x+0.5x = 2(0.25.x)
B. X-0.5.x = 2(0.25.x)
O C. 1-0.5x = 2(0.75.8)
D. X+0.5.x = 2(0.75.x)
Answer:
b
Step-by-step explanation:
Answer:
ok
Step-by-step explanation
part b
answer choices for number one:
x<4
x>4
x<0
x<-4
answer choices for number two:
x<-3
x>-3
x<9
x>9
Answer:
Question 1. x>4
Question 2. x<9
A parallelogram has four angles that are the same measure. Is it a square?
Choose Yes or No to tell if the answer and explanation is correct.
Yes. Only squares have four angles that are the same measure.
Yes. It could be a square if all sides are also the same measure.
No. If the sides are not the same length, it is not a square.
No. The figure is a rhombus.
Answer:
Yes
Step-by-step explanation:
Yes. It could be a square if all sides are also the same measure.
A parallelogram will be a square when all four sides are of equal in length and all four angles are same.
A parallelogram is a quadrilateral with opposite sides parallel . A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.A square is a parallelogram when all four sides of parallelogram are same and all four angles are equal to 90 degree.Learn more:
https://brainly.com/question/16702162
What is the total surface area of the square
pyramid whose net is shown?
please help!
Answer:
Total surface area of this pyramid =665.6 in^2
I need help I will give brainliest.
Answer:
C
Step-by-step explanation:
plzzzz help right now
Hello and Good day,
This question is relating to probability and it can come in percentages and fractions. I will follow directions as the problem states and provide both.
1. There is a 1/20 or 5% chance that the dart would land on section 20.
2. There is a 10/20 or 50% chance that the dart would land on an odd number.
There are 10 odd numbers present on the dart board.
3. 4/20 or 20%
There are 4 numbers greater than 16.
4. 0/20 or 0%
This is because there are no 25's on the dart board
5. 17/20 or 85%
This is because there are 17 numbers that aren't 4, 5, or 6.
6. 7/20 or 35%
There are 7 numbers less than 8.
7. 20/20 or 100% chance
8. 19/20 or 95% chance
I honestly was to lazy to right the rest in complete sentences, but i hope you find this well. Have a great day.
Thank you for your support,
-Oceanbreeze24
What is the volume of the composite object below?
Answer:
Step-by-step explanation:
I am not gonna give the exact answer but remember how to find the volume of the certain object first figure out what kind of object then figure out the formula..
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marbles, and 2 purple marble.
What is the complement to the probability that she will draw a purple marble?
Answer:
2/17
Step-by-step explanation:
6+6+3+2=17
There are two purple marbles
A bag contains 96 marbles, some red and some green. The ratio of red marbles to green ones is
2:4. How many green marbles are there?
which property would be used to first simplify the expression 2 (x+5y+1)-4(3x-y-2)
a. distributive
b. identity
c. inverse
d. commutative
Answer:
Distributive
Step-by-step explanation:
Answer:
This should be distributive
Math question Plz Help
Answer:
-1/3x + 5
Step-by-step explanation:
The slope-intercept is y = mx + b
The m is the slope and b is the y-intercept.
The equation is:
y = -1/3x + 5
A Ferries wheel had a radius of 58 feet. What is the distance a passenger will travel one time around the Ferries wheel?
Answer:
364.42 ft.
Step-by-step explanation:
For step 1 we should multiply pi by r and 2.
π x r x 2
For step 2 we should multiply pi by 58 and 2.
π x 58 x 2
In result, we should end up with 364.424748 ft. or for short 364.42 ft.
I hope I helped you... Have a great and nice day! :D
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
B. 10, 2, -6, -14, ...
Step-by-step explanation:
substitute each sequence from the options into the function f(n) = -8n + 18
Answer:
B.
Step-by-step explanation:
find the first, second, and third term using the equation and check them with the options
f(1) = -8(1) + 18 = -8 + 18 = 10
f(2) = -8(2) + 18 = -16 + 18 = 2
f(3) = -8(3) + 18 = -24 + 18 = -6
which sequence has 10, 2, -6, ...? B.