Answer:= The exponent is 12
Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:
[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)
Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
Learn more about scientific notation here:
https://brainly.com/question/3112062
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
Step-by-step explanation:
Answer:
cosA = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{9}{41}[/tex]
The angle of elevation of the top of a building from the foot of a tower is 70° and the angle of elevation of the top of the tower from the foot of the building is 40°. Find the height of the building if the tower is 50 m tall.
The height of the building located at a distance from the tower is approximately 163.716 meters.
How to determine the height of a building
After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.
Now we proceed to calculate the height of the building:
[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]
h ≈ 163.716 m
The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]
To learn more on trigonometric relationships, we kindly invite to check this verified question: https://brainly.com/question/6904750
Find the following measures and angle measures.
Answer:
Step-by-step explanation:
Amy has 5.26 more pounds of apples than Shelly. Shelly has 4.87 pounds of apples. How many pounds of apples does Amy have?
Answer:
According to my calculation it came like this.Hope the picture will help you.
!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!
Answer:
1.77
Step-by-step explanation:
.................
i don’t understand how to solve this, can you help me. I tried dividing by 3 but it’s not right.
Answer:
Hello Camila Sofia Pazos Motta, you have to divide by pi, not 3.
Step-by-step explanation:
What is the formula for area of a triangle?
Answer:
bh/2
Meaning :
base times height, halfed
Answer:
Step-by-step explanation:
A = hb/2 or 1/2×hb
Where h is the vertical height and b is the base length.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
19.5 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
14^2 + b^2 = 24^2
196 + b^2 = 576
Now we subtract!!
576 - 196 = b^2
380 = b^2
Now we find the square root!!
[tex]\sqrt{380}[/tex] = 19.5 :)
Have an amazing day!!
Please rate and mark brainliest!!
What is the length of the hypotenuse in the right
triangle?
O 2,593 cm
O 60 cm
14,225 cm
O 65 cm
Answer:
sqrt(2593)
Step-by-step explanation:
17^2+48^2 = 2593^2
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?
Which rule best describes the pattern?
3, 9, 27, 81, ___, ____, ___
A. Add by 6
B. Add by 6, add by 18
C. Divide by 3
D. Multiply by 3
Answer:
D. Multiply by 3
Step-by-step explanation:
Given:
A sequence 3,9,27,81,__,__,__To find:
PatternNotice that if you keep multiplying by 3:
3*3 = 99*3 = 2727*3 = 81Then you will get exact sequence as given, so next 3 missing terms have to be:
81*3 = 243243*3 = 729729*3 = 2187Hence, the pattern for this sequence is to multiply by 3.
Note
This given sequence is called Geometric Sequence, a sequence with common ratio.Common Ratio can be found by dividing next term with previous term. (I.e. 9/3 = 3 so a common ratio for this sequence is 3)By multiplying previous term with a common ratio, you get the next term.8 piglets are evenly sharing 5 liters of milk.
How many liters of milk should each piglet get?
Choose 1 answer:
A. 1 3/8 liters of milk
B. 13/8 liters of milk
C. 5/8 liters of milk
D. 8/5 liters of milk
Answer:
C.
Step-by-step explanation:
5 liters divided by 8.
5 divided by 8 = 5/8
Answer: 5/8 liter
Help!! ASAP!!
Teri has scored 73%, 84% and 71% on her first three tests. What percent would she
have to score on the fourth test to have an overall average of 82%?
Answer:
100
Step-by-step explanation:
You have to find the current average-
73+84+71=228
228/3=76.
228+?=328?
(328=82x4)
328-228=100
Darnell has 3 pies. He gives each of his five friends 3/8 of a pie.How much pie does Darnell have left?
Answer:
1 1/8Step-by-step explanation:
Darnell gives his friends
5*3/8 = 15/8 = 1 7/8 pieRemaining pie
3 - 1 7/8 = 1 1/8Answer:
[tex]\huge\boxed{\bf{Leftover\:Daniel\:pie = 1\frac{1}{8}pie}}[/tex]
Step-by-step explanation:
Given:-
Daniel have 3piesgive to five friend [tex]\frac{3}{8}[/tex]of a pieTo find: -
Leftover Daniel pie?Ans:-
The first step is to find a lot of cakes that will be given to five of Daniel's friends
[tex]\sf \to 5*\frac{3}{8} = \frac{5*3}{8} = \frac{15}{8}pie[/tex]Finally we determine the rest of Daniel's pie
[tex]\sf \to 3 - \frac{15}{8} = \frac{24}{8} - \frac{15}{8} = \frac{9}{8}pie[/tex]Therefore leftover Daniel pie is = [tex]\frac{9}{8}[/tex]pie or [tex]1\frac{1}{8}[/tex]pie
[tex]\:[/tex]
[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]
How would we add -3 + (-9) on the number line?
Answer:
-12
Step-by-step explanation:
1. Create an Equation
-3-9
2. Solve
-3-9 <=== subtract -3 and -9 together to get your answer
-12
3. Check
-12+3 <=== create this equation or this one ===> -12+9 to check if we calculated correctly
-12+3= -9 -12+9= -3
this shows the answer is corrrect
Write an equation for a line that contains the point (0,4) that is parallel to the
equation below.
y= -7x+1
Step 1: Find the Slope
Parallel lines have the same slope, therefore the slope of our new line is also -7.
Step 2: Find the Y-Intercept
Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
Slope = -7
Point = (0, 4)
4 = -7(0) + b
b = 4
Step 3: Form the Equation of the Line
Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.
Slope-Intercept Form: y = mx + b
m = -7
b = 4
Equation of the New Line: y = -7x + 4
Answer: y = -7x + 4
Hope this helps!
Answer:
y = -7x + 4
Step-by-step explanation:
Given
point = (0, 4)parallel to y = -7x + 1Solving
Slope of new line is also -7y - 4 = -7(x - 0)y - 4 = -7xy = -7x + 4[tex]\frac{2x^{2} -50}{x^{2} +7x+10}[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]
[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]
[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]
[tex] \frac{2(x - 5)}{x + 2} [/tex]
Thirteen people are entered in a race. If there are no ties, in how many ways can the first three places be awarded?
Answer:
666.888.000.333
Step-by-step explanation:
yeah I said what I said
bye
The triangles are similar.
What is the value of x?
Enter your answer in the box.
Answer:
x=4
Step-by-step explanation:
3x+8 = 20
subtract 8 both sides
3x=12
divide 3 both sides
x=4
(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
#a
H(0)
It refers to y value on graph when x is 0
So here it refers to y intercept
y intercept (0,5)Hence
H(0)=5#b
Observe the graph
y intercept is not 0 so it's not true
#3
Domain is set of x values in graph
[0,oo)#4
Range is set of y values on graph
[5,50]Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 18 questions he thought he got wrong.
It turns out that Colin got 3 questions right that he thought he got wrong.
Colin also got a total score of 27 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answer:
65.2%
Step-by-step explanation:
Explanation is in photo.~Hope this helps~
If m2=n , then the square root of
Answer:
m = ± [tex]\sqrt{n}[/tex]
Step-by-step explanation:
m² = n ( take square root of both sides )
m = ± [tex]\sqrt{n}[/tex]
Find the component form and magnitude of vector RS.
R=(8,-8) S=(4,7)
Thank you!
[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]
Type the expression that
results from the following
series of steps:
Start with n, subtract 5,
multiply by 4, then add 7.
Answer:
I think it is (n - 5) x 4 - 7, but I am not sure.
Find the volume of the sphere in terms of π.
A) 972 π cm3
B) 7776 π cm3
C) 36 π cm3
D) 24 π cm3
Answer:
A) 972π cm³
Step-by-step explanation:
d = 18 cm
r = d/2 = 9 cm
V = (4/3)πr³
V = (4/3)π(9 cm)³
V = (4/3)π(729 cm³)
V = 972π cm³
Convert 1 gallon to fluid ounces. 1 gal = ______ fl oz (Just put the number answer.) *
Answer:
153.722 fl oz
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Answer:
First option
Step-by-step explanation:
Given the following question:
[tex]x+3=5[/tex]
To find the answer we need to subtract three on both sides, since we are given a positive three ( + 3) instead of a negative three (- 3) If the equation was " x - 3 = 5 " we would then add three on both sides but in this case we have a positive three.
[tex]x+3=5[/tex]
[tex]3-3=0[/tex]
[tex]5-3=2[/tex]
[tex]x=2[/tex]
Which means your answer is the first option or "subtract 3 from both sides."
Hope this helps.
The manager of a sporting goods store ordered 256 packages of football cards. There are 24 cards in each package how many cards did the manager order?
Answer:
6144
Step-by-step explanation:
The answer is 6144 because if you do 256×24 you will get 6144
Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]
find the measure of angle 8
Answer:
99 degrees.
Step-by-step explanation:
m < 8 = 99 (corresponding angles are congruent).