1.2 x 10^19 x 5.88 x 10^12
This is scientific Notation I need this urgent please give good explanation
Answers
9514 1404 393
Answer:
7.056 × 10^31
Step-by-step explanation:
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
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[tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]
As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.
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Additional comments
This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.
If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.
Related Questions
Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.
Answers
9514 1404 393
Answer:
40
Step-by-step explanation:
The "initial value" is the value when x=0.
[tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]
The initial value is 40.
Integers help me with this question
Answers
9514 1404 393
Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
Which points are on the graph of the function rule f(x) = 10 - 4x
Answers
Explanation:
Write the equation and show work please
Answers
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answers
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?
Answers
Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
use the following picture to classify the following statements as true or false
Answers
BC ≈ EF
BAC ≈ EDF
ABC ≈ DEF by ASA
AC ≈ DF
Not True:
ABC ≈ FDE
ABC ≈ DEF by AAS
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B: [tex]y=-5x-6[/tex]
»»————- ★ ————-««
Here’s why:
Recall that the slope intercept form of a equation for a line is:⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]
⸻⸻⸻⸻
We are given the information of:
The slope, which is -5.The y-intercept, which is (0, -6).⸻⸻⸻⸻
[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]
⸻⸻⸻⸻
Option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09
Answers
Answer:
b. $0.02[tex]/in^3[/tex]
Step-by-step explanation:
Given
[tex]r =1in[/tex]
[tex]h = 10in[/tex]
[tex]Cost_{1pk} =\$3[/tex]
[tex]Cost_{2pk} =\$5[/tex]
Required
The difference in the price per [tex]in^3[/tex]
First, calculate the volume (V) of the cylinder
[tex]V = \pi r^2h[/tex]
[tex]V = 3.14 *1^2 * 10[/tex]
[tex]V = 31.4[/tex]
The unit cost of 1 pack is:
[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]
[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]
The unit cost of 2 packs is:
[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]
The difference (d) is:
[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]
[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]
Take LCM
[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]
[tex]d = \frac{\$1}{62.8in^3}[/tex]
[tex]d = \$0.0159/in^3[/tex]
Approximate
[tex]d = \$0.02/in^3[/tex]
Answer:
b)
Step-by-step explanation:
had it on my quiz also give other dude brainliest.
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answers
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.
Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?
Answers
Solution :
Given :
Equation :
y = 6.3333 x + 53.0298
Here, x = number of hours studied
y = the exam score
a). To predict the exam score, we have to replace x in the least square regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (2) + 53.0298
= 65.6964
Thus he predicted exam score is 65.6964
b). The slope is the co-efficient of x in the least squares regression line :
Slope = 6.3333
The slope represents the average increase in y as x increases by 1.
The exam score increases on average by 6.3333 points per hour studied.
c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :
y = 6.3333 x + 53.0298
y = 6.3333 (0) + 53.0298
= 53.0298
d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (5) + 53.0298
y = 84.6963
Thus the average exam score of a student who studied 5 hours is 84.6963
Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.
Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes
Answers
Answer:
7 hours and 15 minutes
6 hours hours and 45 minutes
5 hours and 12 minutes
6 hours and 10 minutes
Step-by-step explanation:
MON: 7 1/4 hours
= 7 hours and 1/4 hours
1/4 hours = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
7 1/4 hours = 7 hours and 15 minutes
TUE: 6 3/4 hours
= 6 hours and 3/4 hours
3/4 hours = 3/4 × 60 minutes
= 180/4 minutes
= 45 minutes
6 3/4 = 6 hours hours and 45 minutes
WED: 5 1/5 hours
= 5 hours and 1/5 hours
1/5 hours = 1/5 × 60 minutes
= 60/5 minutes
= 12 minutes
5 1/5 hours = 5 hours and 12 minutes
THU: 6 1/10 hours
= 6 hours and 1/10 hours
1/10 hours = 1/10 × 60 minutes
= 60/10 minutes
= 6 minutes
6 1/10 hours = 6 hours and 10 minutes
HELP ASAP 35 POINTS
Answers
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
A basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 52 baskets and 11 more 2-pointers than foul shots. How many shots of each kind were made?
Answers
Answer:
The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Step-by-step explanation:
Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:
19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112
9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97
7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94
Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Please help!!! Urgent ….
Answers
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.
Answers
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.
[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]
We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.
[tex] \large \boxed{y = mx + b}[/tex]
The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.
[tex] \large{y = - \frac{7}{6} x + b}[/tex]
Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:
[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]
Answer
y = -7x/6Hope this helps and let me know if you have any doubts! Good luck on your assignment!
which will result in a perfect square trimonial
Answers
Answer:
No choices listed.
Step-by-step explanation:
Please check my function,
Tell my function right or not, And if not please tell me how to correct
Answers
Answer:
yes, i think it is correct :)
Step-by-step explanation:
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answers
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answers
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
Answers
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answers
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
hope that helps
Complete the input-output table for the function y = 3x.
Input-Output table
Answers
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answers
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
Help me solve this please !
Answers
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
If f (x)
6x – 6 , find f (-1)
Answers
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
please, this is the last time I'm asking, just help me with the Volume.
Answers
Answer: 4374
Step-by-step explanation:
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
Answers
lmk if this helped :)
During which period did humans first appear on Earth?
Quaternary
Neogene
Paleogene
Cenozoic
Answers
Answer:
According to Science, Quaternary.Step-by-step explanation:
I took the quiz.
But really, the Earth is not that old. just a couple thousand years old.
There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.
Hope this helps and have a great day!
:)
Answer:
A. Quaternary
Step-by-step explanation:
Determine whether the triangles are similar. If so, write a similarity
statement.
Answers
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
9514 1404 393
Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
