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Related Questions
Is the number written in scientific notation? If not, explain.
a. 0.15 x 104
b. 7.06 x 10−8
c. 3.3 x 10012
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The second example (7.06 x 10^-8) is correctly written in scientific notation, but the first (0.15 x 10^4) and third (3.3 x 100^12) examples are not. In scientific notation, the decimal part of the number should be between 1 and 10 and the exponent of 10 should be an integer.
Explanation:The topic is scientific notation. The number is expressed in scientific notation if it has the form a × 10^n, where 1 ≤ |a| < 10 and n is an integer.
Let's see if the given numbers are in scientific notation:
0.15 x 10^4 - No, this is not in scientific notation. The decimal part of the number, 0.15, is not between 1 and 10.7.06 x 10^−8 - Yes, this is correctly written in scientific notation. The decimal part of the number, 7.06, is between 1 and 10 and the power of 10 is an integer.3.3 x 100^12 - No, this is not in scientific notation. The power of 10 is supposed to be a straight integer, not another exponential number.Learn more about Scientific Notation here:https://brainly.com/question/16936662
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option b ( 7.06 x 10⁻⁸)
a. 0.15 x 104
No, this number is not written in proper scientific notation.
In scientific notation, the coefficient must be a number between 1 and 10.
So, 0.15 can be expressed as 1.5 by moving the decimal point one place to the right.
Hence, it should be written as 1.5 x 103.
b. 7.06 x 10-8
Yes, this number is written in proper scientific notation.
The coefficient, 7.06, is correctly between 1 and 10.
c. 3.3 x 10012
No, this number is not written correctly due to the format of the exponent.
The correct form should be 3.3 x 1012.
So, the corrected scientific notation is 3.3 x 1012.
Solve for x.
2x = 15 + x
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The solution to the equation is x = 15.
We have,
To solve the equation 2x = 15 + x, we want to isolate the variable x on one side of the equation.
First, we can simplify the equation by subtracting x from both sides:
2x - x = 15 + x - x
This simplifies to:
x = 15
Thus,
The solution to the equation is x = 15.
Learn more about equations here:
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Circle Y is shown. What is the area of the shaded part of the circle?
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This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:
[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]
Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:
[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]
r is the radius of the circle which in our case is 9 cm.
Thus, the area of the shaded region is:
[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]
[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2
Thus, Option D is the correct option.
Someone please help me
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I confused on how to solve these trigonometric ratios.
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Hey !!
8th question solved in the figure attached above ,
For 9th question's answer ,
cos 24° = 11/x = 0.913545
---> [ x=12.041 ] Ans.
.
In 10th question ,
sin 35° = x/4.1 = 0.573576
---> [x=2.352 m] Ans.
Hope it helps you :)
WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),
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please help me
how many perpendicular bisectors can be constructed for a line segment?
a.) 0
b.) 1
c.) 2
d.)infinitely many,
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what is the sum or difference 10y^10-14y^10
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[tex]10y^{10}-14y^{10}\\\\(10-14)y^{10}\\\\-4y^{10}[/tex]
Answer:
The required solution is [tex]-4y^{10}[/tex].
Step-by-step explanation:
The given expression is
[tex]10y^{10}-14y^{10}[/tex]
Take out the common factor [tex]y^{10}[/tex] from both terms.
[tex]y^{10}(10-14)[/tex]
[tex]y^{10}(-4)[/tex]
[tex]-4y^{10}[/tex]
Therefore the required solution is [tex]-4y^{10}[/tex].
What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?
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Answer:
Option B [tex]8.54\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]A(5,7)\\E(-3.4)[/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
For a given right triangle side a =490 feet and side b = 960 feet
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c²=a²+b²
c²=490²+960²
c²=1,161,700
c=1077.822
the value of the third side is c=1077.822 ft
The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000
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The first thing we need to do is convert 10 cents to dollars:
[tex]10cents( \frac{1dollar}{100cents} )=0.1dollar[/tex]. Now, we know that the the cost of materials is 30 dollars and the cost of labor is 0.1 dollars, so the total coast to produce [tex]x[/tex] hard drives will be: [tex]30+0.1=30.1x[/tex].
Now the only thing left is add the cost of equipment to complete our function:
[tex]f(x)=30.1x+10000[/tex]
We can conclude that the equation that could represent the cost function for making x hard drives is f(x)=30.1x+10,000
FOR THESE 3 QUESTION I WILL GIVE 40 POINTS BRAIN LEST AND 5 STAR RATEING
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2. C is decreasing
3. Sasha did not withdraw or deposit any money
how many numbers are between 1 and 3 ?
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The measure of an angle is 68°. what is the measure of a complementary angle?
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In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn
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A recipe cal for 2 1/2 cups of flour to make 2 dozen cookies.How many cups of flour would be required to bake 15 dozen cookies
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2 1/2 * 7 1/2 = 18 3/4 cups of flour
2 1/2 = 2.5 as a decimal
2.5 ÷ 2 = 1.25
So, it takes 1.25 (1 1/4) cups of flour for each dozen of cookies.
1.25 × 15 = 18.75
ANSWER:
18.75 (18 3/4) cups of flour would be required to bake 15 dozen cookies.
1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
A.) 2
B.) 9
C.) 18
D.) 36
2. If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
A.) 16
B.) 64
C.) 100
D.) 1,024
3. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
A.) 4
B.) 3
C.) -1
D.) 1,
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What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7?
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Gooday
Answer:
The ratio is [tex]\frac{27}{343}[/tex] or 27:343
Step-by-step explanation:
The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.
Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.
Let r' be the radius and h' be the height of the other cylinder.
Its volume is [tex]V'=\pi r'^{2} h'[/tex]
According to the given information, we have
[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]
Hence, we get
[tex]\frac{V}{V'}=\frac{\pi r^2h}{\pi r'^2h'}[/tex]
= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]
= [tex]\frac{27}{343}[/tex]
Therefore, the ratio is 27:343
Stacy fails 1/2 cup measuring cup seven times to have enough flour for cake recipe how much flour does the cake recipe call for
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7 times of 1/2 cup = 7/2
7 times of 1/2 cup = 3 1/2 cups.
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The recipe called for 3 1/2 cups of flour
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Find the measure of the supplement of the angle.
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So to find this one
180 - 37.6 = 142.4
m<B = 37.6
then
180 - 37.6 = 142.4
answer
A. 142.4
need help !!!Divide 5a^2 + 6a - 9 into 25a^4 + 19a^2 - a - 78.
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Maybe i have not understood "into".
[tex] \dfrac{25a^4+19a^2-a-78}{5a^2+6a-9} =5a^2-6a+20+ \dfrac{-175a+102}{5a^2+6a-9} [/tex]
A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team. 61 of the students are boys. There are 36 students on soccer teams, 19 are on the girls’ soccer team. There are 35 students on basketball teams, 18 are on the boys’ basketball team. How many boys are on the track team?
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18+17 =35
61-35= 26
26 boys are on the track team.
There are 17 boys on the soccer team, 18 on the basketball team, and by subtracting the 35 boys playing these sports from the total of 61 boys, we find that there are 26 boys on the track team.
To find out how many boys are on the track team, we can start with the total number of boys, which is 61, and subtract the number of boys in the other two teams. We know that there are 36 students on the soccer teams, and 19 of them are girls, which means that 36 - 19 = 17 boys are on the soccer team. Next, there are 35 students on the basketball teams, and 18 of them are boys; thus we have 35 - 18 = 17 girls on the basketball team.
Now, let's add up the number of boys on the soccer and basketball teams to find out how many boys are left for the track team. The equation is 17 (soccer) + 18 (basketball) = 35 boys who are playing sports other than track. Finally, to get the number of boys on the track team, we subtract this sum from the total number of boys: 61 (total boys) - 35 (boys in other sports) = 26. This means that there are 26 boys on the track team.
1000p for an answer please
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how Many decameters are in 13 hectometers
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Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer
23 centimeters =
a. 0.023 kilometers
b. 0.23 kilometers
c. 23 kilometers
0.5 centimeters =
a. 0.5 kilometers
b. 50 kilometers
c. 500 kilometers
9 centimeters =
a. 0.9 kilometers
b. 9 kilometers
c. 0.009,
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We make the following rule of three:
1 centimeter ----> 1 kilometer
23 centimeter -> x kilometer
We clear x:
x = (23/1) * (1)
x = 23 kilometers
0.5 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
0.5 centimeter -> x kilometer
We clear x:
x = (0.5 / 1) * (1)
x = 0.5 kilometers
9 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
9 centimeter -> x kilometer
We clear x:
x = (9/1) * (1)
x = 9 kilometers
Answer:
c. 23 kilometers
a. 0.5 kilometers
b. 9 kilometers
Answer:
Correct options are:
c
a
b
Step-by-step explanation:
The map scale is:
1 centimeter = 1 kilometer
23 centimeters=23 kilometers
Correct option is: c
0.5 centimeters=0.5 kilometers
Correct option is: a
9 centimeters=9 kilometers
Correct option is: b
Which of the following rational numbers is equal to 3.4? (line above the four)
A: 31/9
B. 32/9
C. 33/9
D. 34/9
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So, we can just divide all the numbers to figure it out.
31/9= 3.44444444
32/9=3.5555556
33/9= 3.66666777
34/9= 3.777778
The closest number to 3.4 is 31/9. "A" is the correct answer.
I hope this helps!
~kaikers
Answer:
I believe the answer is A, out of all numbers, it seems to be the closest to 3.4.
Step-by-step explanation:
How do I solve these trigonometric equations!!?
Find all solutions in the interval [0, 2π).
(sin x)(cos x) = 0
Find all solutions in the interval [0, 2π).
cos2x + 2 cos x + 1 = 0
Find all solutions to the equation.
cos2x + 2 cos x + 1 = 0
(I am not looking for easy answers to cheat, I just need help on how to solve them...Im a bit confused and my teacher is not avail),
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Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
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h= hight of triangle
b= base
l= lenght
b= breath
Answer:
B
Step-by-step explanation:
:)
Michelle, Jennifer, and Betty volunteered to make cupcakes for a school fundraiser. They've been asked to make 100 cupcakes. Michelle can make 6 cupcakes in an hour. Jennifer can make 18 cupcakes in two hours. Betty can make 24 cupcakes in two hours. How long will it take to make 100 cupcakes if they work together?
A. 3 19/27 Houurs
B. 2 2/9 Hours
C. 4 1/6 Hours
D. 1 23/27 Hours
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Final answer:
Michelle, Jennifer, and Betty have a combined rate of 27 cupcakes per hour. To make 100 cupcakes, it will take them 100 divided by 27, which equals 3 19/27 hours. The correct answer is A. 3 19/27 hours.
Explanation:
To determine how long it will take Michelle, Jennifer, and Betty to make 100 cupcakes together, we first need to find their individual rates of production.
Michelle makes 6 cupcakes per hour.
Jennifer makes 18 cupcakes in 2 hours, which is equivalent to 9 cupcakes per hour.
Betty makes 24 cupcakes in 2 hours, which is equivalent to 12 cupcakes per hour.
Adding these rates together gives us a combined rate of:
6 + 9 + 12 = 27 cupcakes per hour.
To find the time it takes to make 100 cupcakes, we divide the total number of cupcakes by the combined rate:
100 cupcakes ÷ 27 cupcakes/hour = 3 19/27 hours.
Therefore, the correct answer is A. 3 19/27 hours.
Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees?
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The number of months that she can withdraw $40 is 6 months.
How many times can she withdraw $40?
The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:
$150 = $390 - $40x
Where: x is the number of withdrawals
In order to determine the value of x, take the following steps
Combine similar terms: $390 - $150 = $40x
Add similar terms: $240 = $40x
Divide both sides of the equation by $40
x = 6
To learn more about division, please check: https://brainly.com/question/194007