Answer 0.0000001356
Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point
8 places to the left.
How can I determine perpendicular lines
Answer:
Step-by-step explanation:
Lines are considered to be perpendicular if the angle between at the point they intersect is 90°, or a right angle.
If you have the equations of two lines, you can determine if they are perpendicular by looking at their slope. For the slope-intercept form of a line,
[tex]y = mx + b[/tex]
[tex]m[/tex] is the slope of the line.
Two lines are considered perpendicular, if the slope of one line is [tex]m[/tex], and the slope of the other line is [tex]\frac{1}{-m}[/tex].
For example, if a line had a slope of 4, say [tex]y = 4x + 2[/tex], then a line that would be perpendicular to this line would have a slope of [tex]\frac{-1}{4}[/tex], say [tex]y = \frac{-1}{4} + 7[/tex].
please help, will give brainlist.
Trevor is using pieces of wood that are 8.3 feet long to frame a garage. He has a total of 149.4 feet of wood. 8.3x= 149.4
How many 8.3 foot long pieces of wood does Trevor have
A. 19 pieces
B. 18 pieces
C. 17 pieces
D. 20 pieces
Answer:
18
Step-by-step explanation:
18 x 8.3 = 149.4
Answer:
B:18 as you divide the 149.4 by 8.3
Step-by-step explanation:
Please help ASAP! If you could as well explain your answer or show how you found the answer that would be great!!! Find the monthly payment needed to amortize principal and interest for the fixed-rate mortgage. Use either the regular monthly payment formula or the given table.Loan Amount $43,500 Interest Rate 2.4% Term 5 years
Find the mean, median, and mode of each set of values.
1.) Customers per day: 98 87 79 82 101 99 97 97 102 91 93
Answer:
Mean = 93.3 ( to nearest tenth).
Median = 97.
Mode = 97.
Step-by-step explanation:
Arrange the data in ascending order:
79 82 87 91 93 97 97 98 99 101 102
There are 11 numbers.
The Median is the center value (= the 6th number) = 97.
The mode = highest occurring value = 97.
The mean = sum / 11 = 93.3.
For any triangle ABC note down the sine and cos theorems ( sinA/a= sinB/b etc..)
prove that ,
plzzz help meeee....
Answer:
Step-by-step explanation:
Law of sines is:
(sin A) / a = (sin B) / b = (sin C) / c
Law of cosines is:
c² = a² + b² − 2ab cos C
Note that a, b, and c are interchangeable, so long as the angle in the cosine corresponds to the side on the left of the equation (for example, angle C is opposite of side c).
Also, angles of a triangle add up to 180° or π.
(i) sin(B−C) / sin(B+C)
Since A+B+C = π, B+C = π−A:
sin(B−C) / sin(π−A)
Using angle shift property:
sin(B−C) / sin A
Using angle sum/difference identity:
(sin B cos C − cos B sin C) / sin A
Distribute:
(sin B cos C) / sin A − (cos B sin C) / sin A
From law of sines, sin B / sin A = b / a, and sin C / sin A = c / a.
(b/a) cos C − (c/a) cos B
From law of cosines:
c² = a² + b² − 2ab cos C
(c/a)² = 1 + (b/a)² − 2(b/a) cos C
2(b/a) cos C = 1 + (b/a)² − (c/a)²
(b/a) cos C = ½ + ½ (b/a)² − ½ (c/a)²
Similarly:
b² = a² + c² − 2ac cos B
(b/a)² = 1 + (c/a)² − 2(c/a) cos B
2(c/a) cos B = 1 + (c/a)² − (b/a)²
(c/a) cos B = ½ + ½ (c/a)² − ½ (b/a)²
Substituting:
[ ½ + ½ (b/a)² − ½ (c/a)² ] − [ ½ + ½ (c/a)² − ½ (b/a)² ]
½ + ½ (b/a)² − ½ (c/a)² − ½ − ½ (c/a)² + ½ (b/a)²
(b/a)² − (c/a)²
(b² − c²) / a²
(ii) a (cos B + cos C)
a cos B + a cos C
From law of cosines, we know:
b² = a² + c² − 2ac cos B
2ac cos B = a² + c² − b²
a cos B = 1/(2c) (a² + c² − b²)
Similarly:
c² = a² + b² − 2ab cos C
2ab cos C = a² + b² − c²
a cos C = 1/(2b) (a² + b² − c²)
Substituting:
1/(2c) (a² + c² − b²) + 1/(2b) (a² + b² − c²)
Common denominator:
1/(2bc) (a²b + bc² − b³) + 1/(2bc) (a²c + b²c − c³)
1/(2bc) (a²b + bc² − b³ + a²c + b²c − c³)
Rearrange:
1/(2bc) [a²b + a²c + bc² + b²c − (b³ + c³)]
Factor (use sum of cubes):
1/(2bc) [a² (b + c) + bc (b + c) − (b + c)(b² − bc + c²)]
(b + c)/(2bc) [a² + bc − (b² − bc + c²)]
(b + c)/(2bc) (a² + bc − b² + bc − c²)
(b + c)/(2bc) (2bc + a² − b² − c²)
Distribute:
(b + c)/(2bc) (2bc) + (b + c)/(2bc) (a² − b² − c²)
(b + c) + (b + c)/(2bc) (a² − b² − c²)
From law of cosines, we know:
a² = b² + c² − 2bc cos A
2bc cos A = b² + c² − a²
cos A = (b² + c² − a²) / (2bc)
-cos A = (a² − b² − c²) / (2bc)
Substituting:
(b + c) + (b + c)(-cos A)
(b + c)(1 − cos A)
From half angle formula, we can rewrite this as:
2(b + c) sin²(A/2)
(iii) (b + c) cos A + (a + c) cos B + (a + b) cos C
From law of cosines, we know:
cos A = (b² + c² − a²) / (2bc)
cos B = (a² + c² − b²) / (2ac)
cos C = (a² + b² − c²) / (2ab)
Substituting:
(b + c) (b² + c² − a²) / (2bc) + (a + c) (a² + c² − b²) / (2ac) + (a + b) (a² + b² − c²) / (2ab)
Common denominator:
(ab + ac) (b² + c² − a²) / (2abc) + (ab + bc) (a² + c² − b²) / (2abc) + (ac + bc) (a² + b² − c²) / (2abc)
[(ab + ac) (b² + c² − a²) + (ab + bc) (a² + c² − b²) + (ac + bc) (a² + b² − c²)] / (2abc)
We have to distribute, which is messy. To keep things neat, let's do this one at a time. First, let's look at the a² terms.
-a² (ab + ac) + a² (ab + bc) + a² (ac + bc)
a² (-ab − ac + ab + bc + ac + bc)
2a²bc
Repeating for the b² terms:
b² (ab + ac) − b² (ab + bc) + b² (ac + bc)
b² (ab + ac − ab − bc + ac + bc)
2ab²c
And the c² terms:
c² (ab + ac) + c² (ab + bc) − c² (ac + bc)
c² (ab + ac + ab + bc − ac − bc)
2abc²
Substituting:
(2a²bc + 2ab²c + 2abc²) / (2abc)
2abc (a + b + c) / (2abc)
a + b + c
The Johnson arrived at the restaurant at 5:30 they left at 7:15 how long did it take them to eat dinner.
Answer: 1 hour and 45 min
Step-by-step explanation:
From 5:30 to 6 is 30 min
From 6 to 7 is 1 hour
And finally from 7 to 7:15 if 15 min
If we add all of the times up, we get 1 hour and 45 min, so it took them an hour and 45 min to eat dinner
Is -16/8 an integer
Answer:
-16/8 or -16÷8 equals -2 which is a whole number
an integer is a whole number that is positive ,negative or zero
Examples of integers: 1, 2, -5, -18, 20
Not Integers: 0.2, 9.15, 2/3
Final answer:
The division of -16 by 8 results in -2, which is an integer because it has no decimal component. Therefore, -16/8 is an integer.
Explanation:
The question is whether -16/8 is an integer. To determine this, we simply perform the division: -16 divided by 8 equals -2. Since -2 has no decimal component, it is indeed an integer. Integers are whole numbers that can be positive, negative, or zero, but do not include fractions or decimals. Examples of integers include -8, -6, -2, 0, 4, and 12. In this case, -16/8 simplifies precisely to -2, which is an integer.
what 120.4÷602 fluently divide whole numbers and decimals
To divide 120.4 by 602, place the decimal point in the quotient above the decimal point in the dividend. Divide the whole numbers and then bring down the next digit.
The result is 0.2 (rounded to one decimal place).
To divide 120.4 by 602, follow these steps:
Therefore, 120.4 divided by 602 is equal to 0.2 (rounded to one decimal place).
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Which expression and value of six less than the quotient of a number and two increased by ten when n=8
Answer:
The expression is [tex]\frac{n}{2}-6+10[/tex]
For n=8 the value of the expression is 8
Step-by-step explanation:
Let
n -----> the number
we know that
"six less than" means we're subtracting 6:
- 6
"The quotient" means division. "Of a number and 2" Usually the numerator is listed first:
n/2
"increased by ten" means we're adding 10:
+10
substitute
[tex]\frac{n}{2}-6+10[/tex]
For n=8
substitute the value of n in the expression
[tex]\frac{8}{2}-6+10[/tex]
[tex]4-6+10=8[/tex]
Answer:
Expression would be [tex]\frac{n}{2}-6+10[/tex]
Value would be 8.
Step-by-step explanation:
Here, n represents the unknown number,
∵ The quotient of n and 2 = [tex]\frac{n}{2}[/tex]
6 less than [tex]\frac{n}{2}[/tex] = [tex]\frac{n}{2}-6[/tex]
[tex]\frac{n}{2}-6[/tex] increased by 10 = [tex]\frac{n}{2}-6+10[/tex]
Thus, the required expression would be,
[tex]\frac{n}{2}-6+10[/tex]
When n = 8,
[tex]\frac{8}{2}-6+10=4-6+10=8[/tex]
A 445-foot fence encloses a pasture. What is the length of each side of the pasture?
Answer:
111.25 ft.
Step-by-step explanation:
What is the answer to 5/6-3/4 ?
Answer:
9/4
Step-by-step explanation:
What is the solution of |x|=19
A
19
B
-19
C
19 and -19
D
none of these
Answer:
A19
Step-by-step explanation:
Below are the graphs of the functions y = 2x and y = 3x. What is the same about both lines?
They each have the same steepness.
They are parallel.
They start at the origin.
They rise upward to the right.
Answer:
Step-by-step explanation:
They start at the origin.because : when x = 0 y= 2(0) =0 and y=3(0)=0
Answer:
they rise upward to the right and they start from the origin
Step-by-step explanation:
i have the same question and that's right
trust me bro
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of StartFraction one-third EndFraction.? y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3) y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3) y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2) y – 3 = y minus 3 equals StartFraction one-third EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)
Answer:
y - 2 = [tex]\frac{1}{3}[/tex](x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2), thus
y - 2 = [tex]\frac{1}{3}[/tex](x - 3) ← in point- slope form
We want to find the equation of a line in the point-slope form, such that we know the slope and a point on the line.
The line will be: y - 2 = (1/3)*(x - 3)
Let's see how to find that line:
We know that our line has a slope equal to 1/3, and that it passes through the point (3, 2).
First, a general line in the point-slope form is:
y - y₁ = a*(x - x₁)
Where a is the slope and (x₁, y₁) is the point on the line.
Then, by using that general form and the given information, we can see that our line is:
y - 2 = (1/3)*(x - 3)
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There are 24 students in Mr. Bonogofsky's marh class. 5/8 of these students earned an A on the geometric unit assessment. How many students earned an A?
Answer:
15 students
Step-by-step explanation:
5 DIVIDED by 8
You then multiply by 24
The method i just explained is known as cross multiplication
By multiplying the total number of students (24) by the fraction (5/8), we find that 15 students earned an A on their geometric unit assessment in Mr. Bonogofsky's class.
Explanation:In Mr. Bonogofsky's math class, there are 24 students. If 5/8 of the students earned an A on the geometric unit assessment, we would need to multiply the total number of students by 5/8 to determine how many got an A.
Here's how to do it: 5/8 * 24 = 15
So, 15 students in Mr. Bonogofsky's class earned an A on the geometric unit assessment.
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Which of the following expressions has the greatest value?
A. | -14 |
B. | -8 |
C. | 3 |
D. | 12 |
The expression with the greatest value among the options is |-14|, which equals 14. This is because absolute value operation gives always a positive result and ignores the negative sign in front of the number.
Explanation:This is a question about absolute value, which is a mathematical operation that measures distance from zero on the number line. Regardless of direction, an absolute value always yields a positive result. In the absolute value operation | -14 |, the negative sign is disregarded and the result is 14. Similarly, | -8 | equals 8, | 3 | equals 3, and | 12 | equals 12. Thus, the greatest value among these options is | -14 |, which equals 14.
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how is -6.1 wrote in fraction form
Answer:
-6 1/10
Step-by-step explanation:
The diameter of a white blood cell under magnification appears to be 0.3 centimeters. What is the diameter of the white blood cell in millimeters?
Answer:
I think the answer is 0.03
Answer:
The diameter of the white blood cell in millimeters is 3 mm.
Step-by-step explanation:
Given : The diameter of a white blood cell under magnification appears to be 0.3 centimeters.
To find : What is the diameter of the white blood cell in millimeters?
Solution :
The diameter of a white blood cell is 0.3 centimeter.
Conversion of centimeter into millimeters,
[tex]1\ cm=10\ mm[/tex]
So, 0.3 cm into mm is
[tex]0.3\ cm=10\times 0.3\ mm[/tex]
[tex]0.3\ cm=10\times \frac{3}{10}\ mm[/tex]
[tex]0.3\ cm=3\ mm[/tex]
Therefore, the diameter of the white blood cell in millimeters is 3 mm.
Simplify the expression by combining like terms.
4b + 9b + 5b-6=
4b + 9b + 5b-6
do 4b+9b first
4b+9b=13b
13b+5b=18b
Answer:
18b-6 or -6+18b
Johnny wants to sell his car that he paid $7,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Johnny can sell his car for today?
Answer:
7000 - 24x = y(the amount he can sell the car for)
Step-by-step explanation:
Answer:
7000 - 24x
Step-by-step explanation:
Johnny bought a car for $7000 about 2 years ago.
He wants to sell his car now.
The monthly depreciation amount = $x
2 years = 2 x 12 = 24 months.
The amount of depreciation for 2 years = 24x.
The expression that shows how much money he can get now by selling the car = Amount paid 2 years ago - depreciation for 2 years
= 7000 - 24x
Therefore, the answer is 7000 - 24x
How many solutions are there to the equation below?
6x + 15 = 6(x - 3)
O A. O
O B. Infinitely many
O c. 1
Answer:
0
Step-by-step explanation:
6x +15 = 6(x - 3)
6x +15 = 6x - 18( put the like terms together)
6x - 6x = - 18 - 15
0x = - 33
X = - 33/0
Which is 0
Answer:
answer is 0 or 1
Step-by-step explanation:
Which expression is equivalent to -
60x20, 24
30x10 12?
The expression is simplified by dividing each term and exponent separately. After simplification, the expression becomes [tex]\(2x^{10}y^{12}\)[/tex], corresponding to option b.
To simplify the given expression [tex]\(\frac{60x^{20}y^{24}}{30x^{10}y^{12}}\)[/tex], we can simplify the numerator and denominator separately, then divide.
First, let's simplify the numerator:
[tex]\[ \text{Numerator: } 60x^{20}y^{24} \][/tex]
Now, let's simplify the denominator:
[tex]\[ \text{Denominator: } 30x^{10}y^{12} \][/tex]
Now, we divide the simplified numerator by the simplified denominator:
[tex]\[ \frac{60x^{20}y^{24}}{30x^{10}y^{12}} = \frac{60}{30} \times \frac{x^{20}}{x^{10}} \times \frac{y^{24}}{y^{12}} \\\[ = 2 \times x^{20-10} \times y^{24-12} \\\[ = 2 \times x^{10} \times y^{12} \][/tex]
[tex]\[ = 2x^{10}y^{12} \][/tex]
So, the expression equivalent to [tex]\( \frac{60x^{20}y^{24}}{30x^{10}y^{12}} \)[/tex] is:
b. [tex]\( 2x^{10}y^{12} \)[/tex]
The probable question may be:
Which expression is equivalent to 60x^(20)y^(24)/30x^(10)y^(12)?
a. 2x^2y^2
b. 2x^(10)y^(12)
c. 30x^2y^2
d. 30x^(10)y^(12)
Is 257 divisibil by 6
Step-by-step explanation:
6 is divisible by 2 and 3 (6 = 2 · 3).
257 is not divisible by 2 and 3 (257 is a prime number).
Therefore 257 is't divisible by 6.
Final answer:
257 is not divisible by 6 because it is not even.
A number must be even and the sum of its digits divisible by 3 to be divisible by 6.
Explanation:
To determine if 257 is divisible by 6, we need to check if it satisfies the criteria for divisibility by 6.
A number is divisible by 6 if it is divisible by both 2 and 3.
For divisibility by 2, the number must be even, which means it should end in 0, 2, 4, 6, or 8. For divisibility by 3, the sum of the digits of the number must be divisible by 3.Examining 257, we see that it ends with a 7, which is not an even number.
So it does not meet the criterion for divisibility by 2.
Therefore, 257 is not divisible by 6.
How to solve
10x=4x+66
Answer:
x = 11
Step-by-step explanation:
10x = 4x + 66
10x - 4x = 66
6x = 66
x = 66/6
x= 11
Answer:
x=11
Step-by-step explanation:
10(11)=4(11)+66
110=44+66
110=110
CAN EXPLAIN FURTHER
WOULD GREATLY APPRECIATE BRAINLIEST ANSWER
3.5x-81=360
Please help this is due tomorrow
Answer:
Step-by-step explanation:
so what your gonna do is you are going to add 81 to 360 and then sum it up. after you are going to divide it by 3.5.
This might be wrong but there is always a point where you have to try :)
Answer:
This is how you could anwser
283.5 or 283 1/2
What is (5+3)+7=5+(3+7) is it Associative, Identity, Commutative or Substitution?
Answer:
Associative
Step-by-step explanation:
The associative property of addition states that you can add numbers however they are grouped inside parentheses.
It doesn't matter where you put the parentheses. You will always get the same answer.
For example,
[tex]\begin{array}{rcl}(5 + 3) + 7 & = & 5 + (3 + 7)\\8 + 7& = & 5 + 10\\15 & = & 15\\\end{array}[/tex]
which aet of processes must occur to form soil
Answer:
Step-by-step explanation:
To form soil, the two processes which must occur are erosion and weathering, so the correct answer here is B. Soil formation is a continuous process, but also one which takes a long time. It can sometimes more than five hundred years for 1cm of soil to form.
The formation of soil is a complex process that involves various physical, chemical, and biological processes acting over long periods of time.
Some of the key processes involved in soil formation include:
1. Weathering: Weathering is the breakdown of rocks and minerals into smaller particles due to exposure to physical, chemical, and biological agents such as water, wind, temperature fluctuations, plant roots, and microorganisms.
2. Erosion and Transportation: Once rocks and minerals are weathered, the resulting particles are transported by agents such as water, wind, ice, and gravity. Erosion refers to the movement of soil particles from one place to another, while transportation involves the movement of these particles over long distances.
3. Deposition: Deposition occurs when transported soil particles settle out of suspension and accumulate in a new location. Deposition can occur in various environments, such as river deltas, floodplains, glacial moraines, and coastal areas.
4. Organic Matter Accumulation: Organic matter, derived from decaying plant and animal remains, accumulates on the soil surface or mixes with mineral particles. Organic matter plays a crucial role in soil fertility, structure, and nutrient cycling.
Help me out here!!! Wasn’t here for this lesson
Answer:
(-1, -1.5)
Step-by-step explanation:
A coordinate is a point (a single place) on a graph. Coordinates can be recorded as (#, #).
The first number is the one on the x-axis (left/right) and the second number is the one on the y-axis (up/down). (x, y) The middle point, where the x-axis and y-axis meet is called the origin, and is at (0,0).
The point that marks the campground is at -1 on the x-axis and -1.5 on the y axis.
Because the y-axis has two lines for every whole number, the line in between is the halfway mark and counts as a 0.5 increment.
solve this problem please
x/3+6-2x=-6
Answer:
36/5
Step-by-step explanation:
x/3 + 6 -2x = -6
multiply the whole equation by 3 to get rid of the denominator of the first x term.
x+18-6x = -18
move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case
x+18-6x-18=-18-18
x-6x = -36
simplify
-5x = -36
divide both sides by -5 to isolate x
x = -36/-5
=36/5
Solve 2(x + 5) + 4(x – 9) = -14. Show each step of your work.
Answer:X = 2
Step-by-step explanation:
Apply the distributive property.
2x+2⋅5+4(x−9)=−142x+2⋅5+4(x-9)=-14
Multiply 22 by 55.
2x+10+4(x−9)=−142x+10+4(x-9)=-14
Apply the distributive property.
2x+10+4x+4⋅−9=−142x+10+4x+4⋅-9=-14
Multiply 44 by −9-9.
2x+10+4x−36=−142x+10+4x-36=-14
Simplify by adding terms.
6x−26=−146x-26=-14
Move all terms not containing xx to the right side of the equation.
Add 2626 to both sides of the equation.
6x=−14+266x=-14+26
Add −14-14 and 2626.
6x=126x=12
Divide each term by 66 and simplify.
Divide each term in 6x=126x=12 by 66.
6x6=1266x6=126
Cancel the common factor of 66.
x=126x=126
Divide 1212 by 66.
x=2