Answer:
[tex]\boxed{a*b = 1.60 * 10^2}[/tex]
[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]
[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]
Step-by-step explanation:
a = [tex]3.47 * 10^{-6}[/tex]
b = [tex]4.61 * 10^7[/tex]
c = [tex]5.52*10^7[/tex]
Finding a*b:
a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])
= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])
When bases are same, powers are to be added
= 15.997 * [tex]10^{-6+7}[/tex]
= 15.997 * [tex]10^1[/tex]
= 159.97
Rounding it off
=> 1.60 * 10²
Finding a/b:
=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]
Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> 0.753 * [tex]10^{-6-7}[/tex]
=> [tex]7.53*10^{-1}*10^{-13}[/tex]
=> [tex]7.53 * 10^{-1-13}[/tex]
=> 7.53 * 10⁻¹⁴
Finding c/a:
=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]
=> 1.59 * [tex]10^{7+6}[/tex]
=> 1.59 * 10¹³
Answer:
a × b = 1.60 × 10^2
a/b = 7.52 × 10^-14
c/a = 1.59 × 10^13
Step-by-step explanation:
a = 3.47 × 10^-6
b = 4.61 × 10^7
c = 5.52 × 10^7
Solve a × b
(3.47 × 10^-6) × (4.61 × 10^7)
When bases are same in multiplication, we add the exponents.
15.9967 × 10^1
Decimal point is after first non-zero digit. Round to hundredths.
1.60 × 10^2
Solve a/b
(3.47 × 10^-6)/(4.61 × 10^7)
When bases are same in division, subtract the exponents.
3.47/4.61 × 10^-14
0.75271149674 × 10^-14
Decimal point is after first non-zero digit. Round to hundredths.
7.52 × 10^-14
Solve c/a
(5.52 × 10^7)/(3.47 × 10^-6)
When bases are same in division, subtract the exponents.
5.52/3.47 × 10^13
1.59077809798 × 10^13
Round to hundredths.
1.59 × 10^13
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
A lion can eat a sheep in 2 hours, a wolf can eat a sheep in 3 hours, and a dog can eat the sheep in 6 hours. How long would it take a lion, a wolf, and a dog all together to eat the poor sheep?
Answer:
1 hour
Step-by-step explanation:
The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.
The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.
The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.
Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.
So working together, it will take them 1 hour to eat 1 sheep.
Answer:
1 hour
Step-by-step explanation:
1/2 + 1/3 + 1/6 = 1
What happens when the multiplicity of a real root is odd?
Answer:
A: the graph will cross the x-axis
Answer:
A: the graph will cross the x-axis
Step-by-step explanation:
Suppose that 24 inches of wire costs 72 cents. At the same rate, how much (in cents) will 38 inches of wire cost?
Answer:
114
Step-by-step explanation:
if,
24inches=72cents
38inches=?
we cross multiplication,
38times72=2736 divide with 24=114
The answer is114
Answer:
114............
Step-by-step explanation:
bob has to pack 192 boxes. this morning, he packed 84 boxes in 3 1/2 hours. if bob continues at the same rate, how long will it take him to pack the remaining boxes?
Answer:
4.5 hours
Step-by-step explanation:
Total number of boxes = 192
84 boxes = 3.5 hours
Remaining boxes = (192 - 84) = 108 boxes
84 boxes = 3.5 hours
1 box = (3.5 ÷ 8) hours
108 boxes = 3.5 × 108/84
108 boxes = 4.5 hours (Answer)
Answer:
4.5 hours! The person above me is is correct.
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
2. x = -16 y = -10.5
3. x = 4
4. x = 3 y = 2/9 or 0.2222222222222...
Step-by-step explanation:
2.
in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12
+8y and -8y could delete each other, then y will be gone.
-5x + 6y = 1x = x because -5 + 6 = 1
so then you could got x = (-4) + (-12) which means x = -16
if x = -16 that will then means
(-5) x (-16) + 8y = -4
80 + 8y = -4
8y = -4 - 80
8y = -84
y = -10.5
3.
This question has already given you that y = -5
that means, 3x + 6 × (-5) = -18
3x + -30 = -18
3x = -18 - (-30)
3x = 12
x = 4
4.
Like the 2. qestion, you first plus the 2 equation together,
+9y + -9y = 0
-7x + 4x = -3x
-19 + 10 = -9
than means
-3x = -9
x = 3
then put the x = 3 in one of the equation.
4 x 3 - 9y = 10
12 - 9y = 10
-9y = 10 - 12
-9y = -2
-7 x 3 + 9y = -19
-21 + 9y = -19
9y = -19 + 21
9y = 2
y = 2/9 or 0.2222222222...
Wish this could help you!
Answer:
Step-by-step explanation:
FIRST ,
ADD BOTH EQUATIONS
THEREFORE X=-16 , Y =-21/2
SECOND,
SUBSTITUTE Y=-5 IN EQN.1
THEREFORE X= 4 , Y=-5
THIRD ,
ADD BOTH EQUATIONS
THEREFORE X= 3 , Y= 2/9
MARK ME AS BRAINLIEST PLS...........................................
is the square root of 34 rational or irrational
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
Read more about rational number at
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Here are the shopping times in minutes) of a sample of 19 shoppers at a local grocery store.
45, 22, 34, 30, 28, 27, 33, 35, 40, 26, 41, 29, 42, 44, 25, 46, 32, 38, 36
Draw the histogram for these data.
Frequency
Х
6
?
6-
5-
4
3
0
0
0
0
0
0-
22-26
37-41
42-46
27-31 32-36
Times (in minutes)
Answer:
22-26: frequency = 3
27-31: frequency = 4
32-36: frequency = 5
37-41: frequency = 3
42-46: frequency = 4
Point Q is located at (-4, 6). Point R is located at (8, 6) What is the distance from point Q to point R?
Answer:
12 units
Step-by-step explanation:
Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change. Thus, the distance between the two points is merely the horizontal distance, 12 units.
Please Help the question is below!!!
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
What is the length of the short leg in the 30-60-90 triangle shown below?
Answer:
it is D. 5
Step-by-step explanation:
The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A
Answer:
[tex]\boxed{Shortest\ Leg = 5}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg
=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg (Tan 60 = √3)
=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]
=> Shortest Leg = 5
Tim wants to build a rectangular fence around his yard. He has feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
how many feet of fencing does he have?
\
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is 4sqrt(2) units. How many square units are in the area of the triangle?
Answer:
8sqrt(2)
Step-by-step explanation:
An isosceles is a triangle with 2 45 degree angles and one 90 degree angle.
if the hypotenuse side=4sqrt(2) than that means the other 2 sides have to be just 4 units.
the formula for a triangle is than (base×height)÷2
4×4sqrt(2)=16sqrt(2)
(16sqrt(2))/2=8sqrt(2)
Answer:
19.595 units²
Step-by-step explanation:
Find length of other sides:
An isosceles triangle has 2 sides equal. It has two 45 degrees angles and one 90 degrees angle. We can use Pythagorean theorem.
[tex](4\sqrt{2} )^2 =a^2 +a^2[/tex]
[tex]32 =2a^2[/tex]
[tex]16=a^2[/tex]
[tex]4=a[/tex]
The 2 equal sides measure 4 units.
Find area:
base × height × 1/2
The height can be found by Pythagorean theorem.
height² = 4² + 4sqrt(2)²
height² = 16 + 32
height² = 48
height = 6.928
base is given
4sqrt(2) × 6.928 × 1/2
= 19.595343
(SAT Prep) Find the value of x.
Answer: 40 degrees
Step-by-step explanation:
Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)
Please help and explain!! I really don't get this
Suppose Tom has 18 coins totaling $3.00. If he has only dimes and quarters how many of each type does he have
Answer:
8 dimes and 10 quarters
Step-by-step explanation:
Answer:
8 quarters and 10 dimes
Step-by-step explanation:
8 quarters = $2 + 10 dimes = $1 = 18 coins and $3
What is the slope of the line shown on the graph? A)3 B)1/3 C)−3 D)−1/3
Answer:
1/3
Step-by-step explanation:
The slope of the line is found by
m = (y2-y1)/(x2-x1)
we have two point ( 0,0) and ( 3,1)
= ( 1-0)/( 3-0)
= 1/3
please help me immediately
Step-by-step explanation:
[tex]diameter \: = \sqrt{ { 24}^{2} + {7}^{2} } = 25 [/tex]
[tex]shaded \: area \: = circle - tringle[/tex]
[tex]shaded \: area = ( \frac{\pi}{4} \times {25}^{2} ) - ( \frac{1}{2} \times 7 \times 24)[/tex]
[tex]shaded \: area \: = (490.6) - (84) = 406.6 \: = 407 \: {cm}^{2} [/tex]
What is the solution to the equation 32x − 1 = 243? Question 18 options: A) x = 2 B) x = 3 C) x = 4 D) x = −2
Answer:
x = 4
Step-by-step explanation:
To solve this equation, first you want to write the whole thing out.
32x - 1 = 243
Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:
32x = 244
Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.
x = 4
Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!
I hope this helped and good luck with your math!
I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.
Answer:
x=3
Step-by-step explanation:
Which statement is true of triangles P and Q? Triangle P has side lengths of 6, 8, 10 and angle measures of 53.1 degrees, 90 degrees, 36.9 degrees. Triangle Q has side lengths of 18, 24, 30 and angle measures of 53.1 degrees, 90 degrees, 36.9 degrees.
Answer:
Triangle P and Triangle Q are mathematically similar shapes (?).
Step-by-step explanation:
Hi, so the question asks which statement is true, given the following information, but you haven't written what statements we can choose from.
After reading the information, we can see that Triangle Q is the same shape as Triangle P but just larger.
I'm assuming that one of the statements given is about Triangle P and Triangle Q being mathematically similar shapes?
If you need to show your working out, here it is:
18 ÷ 6 = 3
24 ÷ 8 = 3
30 ÷ 10 = 3
All the angles are the same.
This means that the length scale factor is +3 from Triangle P to Triangle Q, the area scale factor is +9 (because 3 x 3 = 9) from Triangle P to Triangle Q, and that the two shapes are mathematically similar.
*DISCLAIMER* The majority of question askers on Brainly seem to be from the US, and I'm not, so the way I work things out / the mathematical terms I use might be different. Sorry!
Hope this helped anyway!
Bluey :)
Answer:
It's c
Step-by-step explanation:
already did this
kindly help me with this
evaluate the integral
[tex] \gamma \binom{2}{1} \frac{2x}{{x}^{2} + 1} dx[/tex]
Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
Answer:
.06x
Step-by-step explanation:
So 20 percent of x has to first be represented. So would do .2x. So then we have to find 30% of that number. So we multiply .2x*.3 and we get 0.06x.
I believe this is correct but tell me if I'm wrong
Answer:
0.06x
Step-by-step explanation:
.2x*.3=0.06x
f(x) = 3x + 21; solve for f(3) and f(7)
Answer:
Step-by-step explanation:
Given that f(x) = 3x + 21
Plug in 3 for x
F(3)= 3(3) +21
F(3) = 9+21
f(3) = 30
Plug in 7 for x
F(7)= 3(7) +21
F(7) = 21+21
f(7) = 42
Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)
Answer:
q .no d
Step-by-step explanation:
64p^3+125
4p^3+ 5^3
(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)
(4p+5) (16p- 20p+ 25)
Answer:
The answer is
(4p + 5)( 16p² - 20p + 25)Step-by-step explanation:
64p³ + 125
Write the number in exponential form of 3
That's
4³p³ + 5³
Multiply the terms
That's
(4p)³ + 5³
Using the formula
a³ + b³ = ( a + b)(a² - ab + b²)Factor the expression
That's
( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]
Solve the terms in the bracket
We have the final answer as
(4p + 5)( 16p² - 20p + 25)Hope this helps you
(will give brainliest) Find the area of the shaded regions.
Answer:
84.78cm^2
Step-by-step explanation:
first we do pi*r^2.
3.14*6^2=113.04
Then, because we know that 1/4 of the circle is missing, just multiply 113.04 by .75.
113.04*.75=84.78cm^2
Answer:
84.78cm^2
Step-by-step explanation:
lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second
Answer:
A) 2 m/s
Step-by-step explanation:
The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...
(4 m)/(2 s) = 2 m/s
The average rate of change of height is 2 meters per second.
Answer: 2m/sec
Step-by-step explanation: From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m. It took 2 seconds to reach that height.
The average is found by dividing 4m/2sec
The result is 4m/sec
The slope is the rate of change for temperature. If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive. If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative. What is the slope of your equation?
Answer:
add pic
Step-by-step explanation:
Answer:
m=6.5
Step-by-step explanation:
thats what you type in
The coefficients of the first three terms in the expansion of (x – y) 4 are PLESE HELP! a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
the answer is C
Step-by-step explanation
I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6
The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.
The coefficient is defined as the number present former to any variable is called a coefficient.
Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6
Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Learn more about coefficients here:
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Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
find the length of the missing sides
Answer:
x = 4√3
y = 8√3
Step-by-step explanation:
This is a special 30° 60° 90° right triangle
In this special triangle if the side length that sees 30° is represented by x and the side length that sees 90° is represented by 2x and the side length that sees 60° x√3
Here, the side length that sees 60° is given as 12
12 = x√3 and x = 4√3 therefore y is 8√3