The number will be less than 1 because when adding the exponents, 11 (negative 14) result the negative 3, and a number in scientific notation with a negative exponent is less than 1.
Thus the option 4 is the correct option.
What is the exponent power with base 10?
To write the big number in short form, we write them in the positive power of 10.
To write the very small number, we write them in the negative power of 10.
Given information-
The number whose value Bethany wants to estimate is,
[tex](4.296\times10^{11})(1.8614\times10^{-14})[/tex]
Here the power of the 10 is 11 and -14 for the two number.
First solve the number without the multiple of 10 or the power of 10 is zero as,
[tex](4.296\times1.8614)(10^{11}\times10^{-14})\\8\times(10^{11}\times10^{-14})[/tex]
The power of the two numbers with same base is added in the multiplication. thus,
[tex]8\times(10^{11-14})[/tex]
Solve it further,
[tex]8\times(10^{-3})[/tex]
Thus,
The number will be less than 1 because when adding the exponents, 11 (negative 14) result the negative 3, and a number in scientific notation with a negative exponent is less than 1.
Thus the option 4 is the correct option.
Learn more about the exponents with base 10 here;
https://brainly.com/question/18324331
Answer:
D
Step-by-step explanation:
can i please get help? they’re asking what is the slope of the line
3.44 is what percent of 8.6?
The number 3.44 is 40% per cent of the number 8.6.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number 3.44 is some percentage of the number 8.6. The percentage of the number will be calculated as:-
x% of 8.66 = 3.44
( x / 100 ) x 8.66 = 3.44
x = ( 3.44 x 100 ) / 8.66
x = 40%
Therefore, the number 3.44 is 40% per cent of the number 8.6.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ6
You can ride your bike around your block 6 times and the whole neighborhood 5 times in 16 minutes. You can ride your bike around your block 3 times and the whole neighborhood 10 times in 23 minutes. How long does it take you to ride around the neighborhood?
help me please ... :))
Answer:
See attached graphic
Step-by-step explanation:
Explained in attachment.
can someone help me with this please!
Answer:
Point Q is at -4
Step-by-step explanation:
what will be the nearest integer to
77.386
The nearest integer to 77.386 is 77
Hope this answer helps you
Answer:
THE NEAREST INTEGER TO 77.386 IS 77
Step-by-step explanation:
HOPE THIS HELPS
Find the value of X.
#4. Find the value of x and use it to find the length of
CE, BD, and BE
Find BD.
Answer:
x = 812 = BD23 = BE13 = CEStep-by-step explanation:
We know that:
BD = 2x - 4DE = 2x - 3 - 2BE = 3x - 1CE = 2x - 3Solution:
(2x - 4) + (2x - 3 - 2) = 3x - 1=> 2x - 4 + 2x - 3 - 2 = 3x - 1=> 4x - 9 = 3x - 1=> 4x - 3x = 9 - 1=> x = 8=> 2x - 4 = BD=> 2(8) - 4 = BD=> 16 - 4 = BD=> 12 = BD=> 3x - 1 = BE=> 3(8) - 1 = BE=> 24 - 1 = BE => 23 = BE=> 2x - 3 = CE=> 2(8) - 3 = CE=> 16 - 3 = CE=> 13 = CEHence, the answers are:
x = 812 = BD23 = BE13 = CEIf t(n) = 15 - 2.5n, how do I find t1,t2,t3,and tn+1? I also have to express tn+1-tn in its simplest form.
Answer:
Just substitute, and the simplified form is 1
Step-by-step explanation:
Substitute the values needed into the original equation. For example, if n=1
t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.
tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.
In your own words what would the steps be to solve by elimination.
Answer:
Enter the equations.
Multiply each equation by a number to get the lowest common multiple for one of the variables.
Add or subtract the two equations to eliminate that variable .
Substitute that variable into one of the equations and solve for the other variable.
The answer I need a lot of helpppppppp
Answer:
h = d/60 - 1/3 = d-20/60
Step-by-step explanation
To simply put it let's say if you are able to make this trip by car without stopping. Nonstop drive: 501 miles or 806 km Driving time: 7 hours, 42 minutes.
A man walking his dog along a Straight road spots a friend a mile away. They wave at one another and the dog sprints to greet her. As soon as the dog arrives it turns around and runs straight back to its master. Then turns around again and runs back to the girl, who is, of course, nearer now. The dog continues running backs and forth until the two meet. Given that each person walks at a steady 3 mph, and the dog runs a steady 9 mph, what is the total distance the dog runs?
The distance the dog runs is given by the time it takes the man and the
girl to meet multiplied by the speed of the dog.
Correct response:
The total distance the dog runs is 1.5 milesHow to find the distance ran by the dogGiven parameters;
Initial distance of the friend away = 1 mile
Speed of the man = 3 mph
Speed of the girl = 3 mph
Speed of the dug = 9 mph
Required:
The total distance the dog runs
Solution:
[tex]Time = \mathbf{\dfrac{Distance}{Speed}}[/tex]
The time it takes the man and the girl to meet, t, is given as follows;
[tex]t = \dfrac{1 \ mile}{3 \ mph + 3 \ mph} = \mathbf{\dfrac{1}{6} \, hours}[/tex]
Therefore;
[tex]The \ total \ distance \ dog \ runs, \ d = 9 \ mph \times \dfrac{1}{6} \, hours = \underline{ 1.5 \, miles}[/tex]Learn more about velocity and speed here:
https://brainly.com/question/4130932
Which equation would best help solve the following problem? Hideki throws a baseball ball upward with an initial velocity of 12 m/s. When he throws the ball, it is 2 m above the ground. How long will it take the ball to hit the ground? - 16t2 + 12+ + 2 = 0 -4.91? + 12+ + 2 = 0 2 -4.912 + 12t = 2 0 4.912 + 12t +2 = 0
For this case we have the following kinematic equation that models the problem:
h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
Rewriting we have:
h (t) = -4.9 * t ^ 2 + 12 * t + 2
When the ball hits the ground we have:
-4.9 * t ^ 2 + 12 * t + 2 = 0
Solving the polynomial we have:
t1 = -0.16
t2 = 2.61
We ignore the negative root because it is time.
Answer: It will take the ball to hit the ground about:
t = 2.61 sec
help please and add an explanation thank youuu
Can someone please help me with geometry? Thank you.
Answer:
X=10
Step-by-step explanation:
explanation is in the image above
hope this helps please mark me brainiest
Need it now! Correct answer step by step gets brainliest!
In the given figure, ray AZ bisects ∠BAD and ∠DCB. Prove the following and state reasons:
(a) ΔBAC is congruent to ΔDAC.
(b) AB=AD
(c) CD=CB
Answer:
a.)In ∆BAC AND ∆DAC
ANGLE DAC = ANGLE BAC(GIVEN)
ANGLE DCA = ANGLE BCA (Given)
AD IS A COMMON SIDE
SO, ∆BAC congruence ∆DAC (A.S.A)
b.)Yes AB=AD (C.P.C.T.)
c.)Yes CD=CB(C.P.C.T.)
Hope that helps
For the given sequence: -4, -1, 2, 5...
Find the 25th term.
Answer:
68
Step-by-step explanation:
[tex]a_n=a_1+(n-1)d\\\\a_{25}=-4+(25-1)(3)\\\\a_{25}=-4+(24)(3)\\\\a_{25}=-4+72\\\\a_{25}=68[/tex]
Therefore, the 25th term of the arithmetic sequence is 68
In the figure shown, what is the measure of the indicated angle? °
Kaylee read a report that said the probability that a randomly selected American is left-handed is 14%. She was
curious how many left-handed students to expect in a class of 25 students.
She simulated 40 classes of 25 students where each student selected had a 0.14 probability of being left-
handed.
SAL
Kaylee counted how many left-handed students were in each simulated class. Here are her results:
As
INT
COM
OOOOOOOOOOO
As
M
0 1 2 3 4 5 6 7 8
number of left-handed students
Col
MY
Use her results to estimate the probability that there are fewer than 3 left-handed students in a class of 25
students,
Answer:
5/25
Step-by-step explanation:
khan academy
Answer:
5/25
Step-by-step explanation:
How can I create equivalent expressions using the distributive property?
THIS IS MY FINAL EXAM TO GO TO THE 7TH GRADE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equivalent expressions are expressions that have the same value. Writing equivalent expressions can make them easier to work with and solve.
Sometimes when you are writing equivalent expressions, you will need to use the distributive property. Multiply a number outside of parentheses by each number inside the parentheses.
Look at the steps for 3(2+4t).
3(2+4t) Multiply 3 by each addend.
3(2)+3(4t) To multiply 3 and 4t, multiply 3 and 4. The variable stays the same. So, 3(4t)=12t.
6+12t
So, 3(2+4t) and 6+12t are equivalent expressions.
Step-by-step explanation:
solve each problem:
given: mfind: ak, al, kl
The City Basketball League includes high schools from within the city limits. The table shows the number of players of two different heights who play different positions.
Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
Enter your answers as simplified fractions.
A. Russell is 5'9". What is the probability he is a forward?
B. Peter is 6'2". What is the probability he is a guard?
Answer:
A. Probability of Russell = 12/37 or 32.4% (Rounding to the next tenth)
B. Probability of Peter = 5/74 or 6.8% (Rounding to the next tenth)
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
2. Russell is 5'9". What is the probability he is a forward?
Probability = Number of forwards under 6 feet/Total number of players
Probability = 120/370
Probability = 12/37 or 32.4% (Rounding to the next tenth)
3. Peter is 6'2". What is the probability he is a guard?
Probability = Number of guards over 6 feet/Total number of players
Probability = 25/370
Probability = 5/74 or 6.8% (Rounding to the next tenth)
Hope this helps you!!!!! :D
Can you solve this? The subject is about solving equations using addition and subtraction.
Answer:
$5.25
Step-by-step explanation:
add all the prices up and subtract it from $15
bumper cars : 1.75
giant slide : 1.75 - .50 = 1.25
ferris wheel : 1.25 + 1.50 = 2.75
roller coaster : 2.75 + 1.25 = 4.00
1.75 + 1.25 + 2.75 + 4.00 = 9.75
15 - 9.75 = 5.25
(3x +20)
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°)
Help pls
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
(3x + 20) + (3x + 20) + (5x) + (5x) = 36016x + 40 = 36016x = 320x = 20x = 20°
-Chetan K
Type the missing number in this sequence: 1, 5, 5, 25, 125, .....
Answer:
3,125
Step-by-step explanation:
1. This sequence is similar to the Fibonacci sequence, where you add the two terms to get the next term and so on. (e.g. 1, 1, 2, 3, 5, 8, 13)
2. However, this differs from the Fibonacci sequence because instead of adding, we're multiplying. 1 x 5 = 5, 5 x 5 = 25, 5 x 25 = 125. Given this sequence, we have to multiply 25 by 125 next, and the product of that expression is 3,125!
write a system of linear inequalities represented by the graph.
Answer:
Inequality 1: y ≤ 5x + 1 Inequality 2: y > x -2
Explanation:
the first line is intersecting the y-axis at 1
coordinates = ( 0 , 1 ) , ( -1 , -4 )
slope of the first line = (y2-y1)/(x2-x1)
= (-4-1 )/(-1-0)
= -5/-1
= 5
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y ≤ 5x + 1 .........as equals to and greater than
the second line is intersecting the y axis at -2
coordinates = ( 2 , 0 ) , ( 0 , -2 )
slope of second line = (y2-y1)/(x2-x1)
= (-2-0)/(0-2)
= 1
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y > x -2 ..........as dotted represents not equals to.
graph a function and identify it domain and range. t(x)=-3.5x+80
Answer:
Step-by-step explanation:
SOLVE THIS PROBLEM ASAP
Answer:
2.5
Step-by-step explanation:
Start by plugging in the given values into the equation:
v=u+at
v=3+(-2)(1/4)
Now we simplify and solve
v=3-1/2
v=2 1/2
v=2.5
The length of the west wall of fencing is 2x + 1 and the length of the North wall fencing is 2(2 x -1) write the full expression for the length of the fencing and simplyfying the two terms.
Answer:
2x+1^2(2x-1)
Step-by-step explanation:
Brainliest if this helps
What is the domain of the relation?
Answer:
-4 ≤ x ≤ 6
Step-by-step explanation:
left-most point is at (-4,-4) and right-most point is at (6,4)
domain is only concerned with the x-values
so the domain is between -4 and 6, inclusive
