[tex]3.15*10^{12}[/tex] would be 3.15 trillion in scientific notation. When putting a number into scientific notation, move the decimal point until you have a number between 1 and 10.
To convert 3.15 trillion to scientific notation, express it as 3.15 × 10¹². This involves moving the decimal point 12 places to the left. Scientific notation helps manage very large or very small numbers efficiently.
To convert the number 3.15 trillion to scientific notation, follow these steps:
First, recognize that a trillion is equal to 1,000,000,000,000 or 10¹².Next, express 3.15 trillion as a numerical value: 3,150,000,000,000.To write this in scientific notation, move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, 3.15 becomes 3.15.Count the number of places the decimal point has moved. Here, it moves 12 places to the left.Thus, 3.15 trillion in scientific notation is written as 3.15 × 10¹².Scientific notation is particularly useful in fields where dealing with extremely large or small numbers, such as astronomy and other sciences, is common.
PLEASE HELP PEOPLE MAKE IT LOOK LIKE THEY ARE ANSWERING IT THEN THEY QUIT PLEASE HELP
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
[tex]$f(x)=x^{2}+15[/tex] and [tex]f(x)=64[/tex]
To find the solutions when f(x) = 64.
Both are equations of f(x), so equate the given equations, we get
[tex]x^2+15=64[/tex]
Subtract 15 from both sides of the equation.
[tex]x^2+15-15=64-15[/tex]
[tex]x^2=49[/tex]
49 can be written as 7².
[tex]x^2=7^2[/tex]
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
12. What is the rule for the translation
below?
K
of ditt
5
.
4
3
2
1
got
Answer:
(-5)
( 1 )
Step-by-step explanation:
the image is 1 units upper than object and 5 units behind the object therefore
x=-5
y=1
What is the y-intercept (b value) of a line that is PERPENDICULAR to the line y = -x- 2and through
the point (-3,-7)
Answer:
The y -intercept is the point (0, -4).
Step-by-step explanation:
The slope of the perpendicular line = -1/m
= -1/-1 = 1.
So it is y = x + b.
To find b we substitute the point (-3, -7):
-7 = -3 + b
b = -7 + 3 = -4.
The y -intercept is the point (0, -4).
96 divided by 18 in fraction form
16/3. You can use a calculator and divide 96/18, then convert to a fraction by using the math button.
Answer:
16/3
Step-by-step explanation:
Divide the numerator and the denominator by 6
A cylindrical water tank has a radius of 5 feet and a height of 10 feet. The volume of water in the tank is 565.2 cubic feet.
What percent of the tanks volume is filled with water?
About 71.96% of the cylindrical water tank, with a radius of 5 feet and a height of 10 feet, is filled with water when it contains 565.2 cubic feet of water.
To determine what percent of the tank's volume is filled with water, we must first calculate the total volume of the cylindrical tank using the formula for the volume of a cylinder: V = (pi)r²h. Here, the radius r is 5 feet, and the height h is 10 feet.
The total volume V of the tank is:
V = (pi)(5 feet)²(10 feet) = 3.14159 times 25 times 10 = 785.398 cubic feet
Now, since the volume of water in the tank is given as 565.2 cubic feet, we can calculate the percent of the tank's volume that is filled with water by dividing the volume of water by the total volume of the tank and then multiplying by 100 to convert to a percentage. So the calculation becomes:
Percent filled = ([tex]\frac{565.2}{785.398}[/tex]) times 100
Percent filled approx 71.96%
Therefore, about 71.96% of the tank's volume is filled with water.
The sum of two numbers is 14. The larger number minus three times the lesser number is -2. What is the lesser number?
A) 10
B) 12
C) 4
D) 3
Answer:
c) 4
Step-by-step explanation:
The sum of two numbers is 14. The larger number minus three times the lesser number is -2
To solve this question, we need to write the statement mathematically;
Let the two numbers be x and y
"The sum of two numbers is 14" can be mathematically written as x+y = 14
and
"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2
x + y = 14 ------------------(1)
x - 3y= -2 -------------------(2)
Subtract equation (2) from equation (1)
[x - x = 0 y - (-3y)=4y 14-(-2)=16]
4y = 16
To get the value of y divide both-side of the equation by 4
4y/4 = 16/4
y = 4
Substitute y=4 into equation (1)
x + y =14
x +4 =14
Subtract 4 from both-side of the equation
x + 4 -4 = 10]-4
x = 10
x=10 and y =4
Therefore the lesser number is 4
Find the solution of the system of equations.
-8x+5y=43
-8x+4y=36
Answer:
[tex]x=-1\\y=7[/tex]
Step-by-step explanation:
Given equations:
[tex]-8x+5y=43[/tex] Equation:1
[tex]-8x+4y=36[/tex] Equation:2
As the coefficients of 'x' are same which will eliminate the terms of 'x':
Subtracting Equation:2 From Equation:1
[tex]-8x+5y-(-8x+4y)=43-36\\\\-8x+5y+8x-4y=7\\\\5y-4y=7\\\\y=7[/tex]
Putting value of 'y' in either equation:1 or 2
Putting y=7 in equation:2
[tex]-8x+4y=36[/tex]
[tex]-8x+4(7)=36\\\\-8x+28=36[/tex]
Subtracting '28' from both side:
[tex]-8x+28-28=36-28\\\\-8x=8\\[/tex]
Changing the sides:
[tex]8x=-8[/tex]
[tex]x=\frac{-8}{8} \\\\x=-1[/tex]
The values are :
[tex]x=-1\\y=7[/tex]
A line passes through the points (-1,-5) and (4,5). The point (a, 1) is also on the line
Answer:
(2, 1) is the point.
D. 2
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth.
a = 4, b = 4, c =
Answer:
Answer is 5
Step-by-step explanation:
if you have any doubts see the image
The Pythagorean Theorem was used on a right triangle with sides of length 4 to find that the hypotenuse has a length approximately equal to 5.7.
Explanation:Here, your task is to apply the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, both a and b are given as 4. We can therefore calculate c as follows:
First, square the lengths of both a and b: 4^2 + 4^2 = 16 + 16Combine like terms: 16 + 16 = 32Find the square root of the sum to find c: sqrt(32) is approximately 5.7 (to the nearest tenth).Learn more about Pythagorean Theorem here:https://brainly.com/question/19649203
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A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?
Answer:
by 2
Step-by-step explanation:
Answer: 2 seconds
Step-by-step explanation:
A computer company is testing a new booster to increase program load times. The box plots show the number of seconds it takes to load a program with and without the booster. Using these plots, how much did the median change?
-b+3y-6b+2y simplify the expression
Answer:
5b+5y
Step-by-step explanation:
Dan has 4 groups of 10 and 3 left over.
Three less than 11 times a number
is the same as the number
decreased by 13. Find the
number.
Answer: x = -1
Calculation/Explanation:
11x-3 = x-13
11x-3 -x = x-13 -x
10x-3 = -13
10x-3 +3 = -13 +3
10x = -10
10x /10 = -10/10
x = -1
Natasha bought paintbrushes and paint for a total of $71 to paint a fence. The brushes cost $3.50 per brush and the paint cost $50. How much did each paint brush cost?
Natasha paid $4 per paintbrush
Natasha paid $17.50 per paintbrush
Natasha paid $6 per paintbrush
Natasha paid $21 per paintbrush
Answer:
Step-by-step explanation:
Cost of paint brushes= Total cost - cost of paint
= 71 - 50 = $21
No.ofpaint brushes =21/3.50 = 21*10/3.5*10
= 210/35 = 6
Answer:
Natasha paid $6 per paintbrush
Step-by-step explanation:
Cost for paint brusheswe can make use of variables
p = paint
b = brushes
bought paintbrushes and paint for a total of $71. . The brushes cost $3.50 per brush and the paint cost $50
we can create an equation from the information
3.5b + 50p = 71
since 1 paint is bought
3.5 b + 50 (1) = 71
3.5b = 71 - 50
3.5b = 21
b = 21/3.5
b = 6
paintbrush costs $ 6HELP! What is the value of X in the following parallelogram? WILL GIVE BRAINLIEST!
Answer:
x = 2
Step-by-step explanation:
Step 1: Set 3x - 2 equal to 5x - 6 to get x
3x - 2 = 5x - 6
Step 2: Solve for x
3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x
4 / 2 = 2x / 2
2 = x
Answer: x = 2
Answer:
2
Step-by-step explanation:
5x-6=3x-2
5x-3x=-2+6
2x=4
x=2
Which lines are perpendicular to the line y – 1 = One-third(x+2)? Check all that apply.
Answer:
Lines that have a slope of -3
Step-by-step explanation:
Take the negative reciprocal of 1/3 and all lines that have that as the slope are perpendicular
Answer:
1. y + 2 = –3(x – 4)
3. y = -3x – 5/3
5. 3x + y = 7
Step-by-step explanation:
because yes
6. The population of a town is 680 000 correct to the nearest 10 000. Write down
(a) The least possible population of the town.
(b) The greatest possible population of the town.
Answer:
a) 675 000
b) 685 000
Step-by-step explanation:
The population of a town is 680 000 correct to the nearest 10 000.
a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000
The lower bound is:
680 000-5000=675,000
Therefore the least possible population of the town is 675 000
b) We repeat the same process to find the upper bound
680 000+5000=685,000
Marcy would not reveal her equation, but she said that she could multiply the left side by 4 and the right side by 8 and still maintain its balance. mr. kim verified she was correct . What is Marcys equation
Answer:
4x=8y
Step-by-step explanation:
Ok so a number multiplied by 4 equal a number multiplied by 8.
Both numbers can't have the same variable because if they had the same varable that means they are the same number which in that case means Marcy is wrong but we know she is right because Mr.Kim said so.
let's plug in numbers. If they had the same variable it would be:-4x=8x
let x=2, 4(2)=8(2)
8=16 not true
if the variables were not the same:-4x=8y
let x=4
let y=2 4(4)=8(2)
16=16 true
Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) EA DE = CB AC B) DE EA = CB AC C) DE EA = AC CB D) EA DE = AC CB
Answer:
[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex]
Step-by-step explanation:
If ant two given triangles are SIMILAR, then they have equal corresponding angles and their corresponding sides are PROPORTIONAL.
For example: if Δ ABC ≈ Δ PQR, then
∠A = ∠P , ∠B = ∠Q and ∠C = ∠R
and [tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}[/tex]
Now, here given: Δ ADE ≈ Δ ABC
Then by the SIMILAR postulate their corresponding angles are equal and their corresponding sides are Proportional.
[tex]\implies \frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}[/tex] ............. (1)
Consider from above:
[tex]\frac{DE}{BC} = \frac{AE}{AC}\\\implies \frac{DE}{AE} = \frac{BC}{AC}[/tex] ............. (2)
Here, the given options are:
[tex]A) \frac{EA }{DE} =\frac{CB}{AC}[/tex] FALSE
[tex]B) \frac{DE }{EA} =\frac{CB}{AC}[/tex] TRUE (from 2)
[tex]C) \frac{DE }{EA} =\frac{AC}{CB}[/tex] FALSE
[tex]C) \frac{EA}{DE} =\frac{AC}{CB}[/tex] FALSE
Answer:
b
Step-by-step explanation:
took test
tell whether the angles are complementary or supplementary. Then find the value of x.
Factor this expression plz ...
14r - 8
Answer:
2 ( 7r - 4 )
Step-by-step explanation:
14r - 8
To factor this expression, you must pull the factor 2 outside the expression by basically reversing the distributive property:
14r - 8 = 2 ( 7r - 4 )
Two players are playing the following combinatorial game.
• On each turn they put a chess knight on a board 9 × 9 so that it is not attacked by previously placed knights.
• The take turns and the player that cannot make a move loses.
Determine who has a winning strategy.
Answer:
The player that placed the knight after the first person at the start of the game. There in his turn whatever role the knight played he both had opportunity to space each knight strategically and use the knight to protect whatever wins the game.
Step-by-step explanation:
Maths is 81/80 =1
If the vertex of a parabola is (-9,1), what is the axis of symmetry?
Answer:
The axis of symmetry is -9
Step-by-step explanation: The AOS will always be the x value of your vertex.
Needs to be graphed and solved please help
Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!
Step-by-step explanation: hope i helped please mark brainliest!
Sarah has 2 apples bob eats 1 how much does sarah have after bob ate one
Answer:
sarah has 1 apple left
z varies directly as x². If z=8 when x=2, find z when x=7
Answer:
98
Step-by-step explaination:
For this question, it is a direct variation. Hence, the equation would be formed accordingly, and the constant k would also be used.
z varies directly as x²
z= kx² where k is the constant
z = 8
x = 2
Putting the figures in the equation, we have
8=2²(k)
8= 4k
Dividing both sides by 4, we have
k = 8/4
k = 2
Solving for z now, we substitute k with 2. And x with 7
z=kx²
z = 2(7²)
z= 2(49)
z= 98
If it were indirect variation, the constant would have been 1/k. We also have other types of variation, Indirect variation, partial variation and joint variation.
F
2. What is the leading coefficient of the polynomial? - 7x2+ 3x -10
re
Answer:
The leading coefficient is -7
Step-by-step explanation:
The leading coefficient is the number in front of the highest power variable. In this case, the highest variable is x^2 and in front of it is -7. Therefore, the leading coefficient is -7
Answer: The leading coefficient is -7
A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Answer:
27719
Step-by-step explanation:
The population after 14 years, to the nearest whole number is 27,719.
Given that,
A town has a population of 14000 and grows at 5% every year.And, the time period is 14 yearsThe calculation is as follows:
[tex]= 14,000 \times (1.05)^14[/tex]
= 27,719
Learn more: brainly.com/question/16911495
Write the ratios for sin M, and tan M
sin M =
Answer:
see explanation
Step-by-step explanation:
sin M = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KL}{ML}[/tex] = [tex]\frac{2\sqrt{11} }{12}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]
tan M = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{2\sqrt{11} }{10}[/tex] = [tex]\frac{\sqrt{11} }{5}[/tex]
Help Please and please explain
Answer:
i believe the answer is c
Step-by-step explanation: