The ratio of cell A's length to cell B's length is [tex]2\times10^{15} :1[/tex]
In mathematics, a ratio is a comparison of two or more numbers, indicating their magnitude relative to each other. A ratio compares two quantities by division. The dividend or divisor is called the antecedent and the divisor or divisor is called the sequence.Scientific notation is a form of representing very large or very small numbers in a simpler form.It is given that length of cell A is [tex]2\times10^7m[/tex] which is in scientific notation and length of cell B is 0.00000001 m which is in standard form.
On converting length of B in scientific notation , we get
[tex]0.00000001 =1.0\times10^{-8}m[/tex]
The ratio of length A to length B is given by
[tex]\frac{2\times10^7}{1.0\times10^{-8}} =\frac{2\times10^{15}}{1}[/tex]
which can be written as [tex]2\times10^{15} :1[/tex]
Yes, finding ratios is easier when numbers are represented in scientific notation. This is because scientific notation is a mathematical methodology used to describe very large or very small numbers in a compact and simple form, raised to powers of ten.
Hence , it is easier to calculate or solve mathematical operations using numbers in scientific notation.
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How to find the size of angle x
Answer:
x = 50°
Step-by-step explanation:
draw a line through B parallel to the 2 given parallel lines , then
the upper angle at B and 150° are same- side interior angles and sum to 180°
upper angle = 180° - 150° = 30°
the lower angle at B and 160° are same- side interior angles and sum to 180°
lower angle = 180° - 160° = 20°
Then
x = upper angle + lower angle = 30° + 20° = 50°
A 2.36 cm3 sample of an unknown metal weighs 18.5 g. what is the sample's density?
The density of the sample is 796.61 kg/m^3.
According to teh given question.
The weight of the metal is 18.5g
The volume of the sample is 2.36 cm^3 or 0.00000236
Since, we know that
Weight = mass × acceleration due to gravity
⇒ 18.5g = mass of the metal × 9.8
⇒ 18.5g/1000 = mass of the metal × 9.8
⇒ mass of the metal = 0.00188kg
Therefore,
the density of the sample
= 0.00188/0.00000236
= 796.61 kg/m^3
Hence, the density of the sample is 796.61 kg/m^3.
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after finishing her shift, a waitress wrote 2.5 under “hours worked” on her time card. How long did she work?
Answer:
if it says 2.5 that mean 2 hours and 5 minutes
Answer:
Two hours and 30minutes
Step-by-step explanation:
A recent survey by the American Automobile Association showed that a family of 2 adults and 2 children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the data are normally distributed,find the nearest hundredth, the Z-scores for each of the following vacation expense amounts. If the data are normally distributed, find the
percentage of families who spent:
a. Less than $167 per day.
b. Less than $367 per day.
c. More than $247 per day.
d. More than $350 per day.
e. Less than $67 per day.
f. Between $200 and $300 per day.
g. Between $360 and $400 per day.
h. More than the median.
i. Less than the mean.
Using the normal distribution, the percentages are given as follows:
a. 9.18%.
b. 97.72%.
c. 50%.
d. 4.27%.
e. 0.13%.
f. 59.29%.
g. 2.46%.
h. 50%.
i. 50%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 247, \sigma = 60[/tex]
For item a, the proportion is the p-value of Z when X = 167, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (167 - 247)/60
Z = -1.33.
Z = -1.33 has a p-value of 0.0918.
Hence the percentage is of 9.18%.
For item b, the proportion is the p-value of Z when X = 367, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (367 - 247)/60
Z = 2.
Z = 2 has a p-value of 0.9772.
Hence the percentage is of 97.72%.
For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (247 - 247)/60
Z = 0.
Z = 0 has a p-value of 0.5.
1 - 0.5 = 0.5.
Hence the percentage is of 50%.
For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (350 - 247)/60
Z = 1.72
Z = 1.72 has a p-value of 0.9573.
1 - 0.9573 = 0.0427.
Hence the percentage is of 4.27%.
For item e, the proportion is the p-value of Z when X = 67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (67 - 247)/60
Z = -3.
Z = -3 has a p-value of 0.0013.
Hence the percentage is of 0.13%.
For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:
X = 300:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (300 - 247)/60
Z = 0.88.
Z = 0.88 has a p-value of 0.8106.
X = 200:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (200 - 247)/60
Z = -0.78.
Z = -0.78 has a p-value of 0.2177.
0.8106 - 0.2177 = 0.5929.
Hence the percentage is of 59.29%.
For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:
X = 400:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (400 - 247)/60
Z = 2.55.
Z = 2.55 has a p-value of 0.9946.
X = 360:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (360 - 247)/60
Z = 1.88.
Z = 1.88 has a p-value of 0.97.
0.9946 - 0.97 = 0.0246.
Hence the percentage is of 2.46%.
For items h and i, the distribution is symmetric and the mean and the median are equal, hence both percentages are 50%.
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HELP ASAP!! I'm rlly confused
Answer:
0=4
2=16
10=64
15=94
Step-by-step explanation:
hfufugihigfhydydtsyeurur
0.5 to the 11 power simplify
Amanda buys 2 nachos and 3 drinks from the concession stand for $12.50. Julio purchases 2 candy bars and 1 drink for $5.50. Ben buys 1 nacho and 1 candy bar for $5.00. Write a system of equations and solve it to determine the cost of each item.
Answer: 12.50= 2x + 3y,
5.50= 2x+y,
5=x+Y
Step-by-step explanation: Use a graphing calculator bro
It takes Evan 9 minutes to complete each word search. How many word searches can Evan complete in 126 minutes?
Answer:
14 word searches
Step-by-step explanation:
126÷9=14
Step-by-step explanation:
126÷9= 14
This is becuse u want to see how many times 9 can go into 126
to check u can do 9×14 and the answer will be 126
A teacher can spend as much as $140.00 to take students to a movie. A movie
theater charges a $15.00 group fee and $7.25 per ticket.
о Set uр аn Едиation:
How many students can
teacher
the
take to the movie?
Answer:
17 students
Step-by-step explanation:
140-15=125
125/7.25=17.2....
rounded to 17
Topic #2: Distance & Midpoint
9. Find ST if S(-3, 10) and T(-2, 3).
Answer:
ST = 7.07 units
Step-by-step explanation:
Find the common ratio for this geometric sequence.
0.25, 1.25, 6.25, 31.25, ...
A.
0.20
B.
1
C.
–5
D.
5
Answer:
D) 5
====================
Given GP: 0.25, 1.25, 6.25, 31.25, ...To findThe common ratio of this GPSolutionThe common ratio is the constant factor between consecutive terms, that is:
r = 31.25/6.25 = 6.25/1.25 = 1.25/0.25 = 5Correct choice is D.
Does the figure above appear to have rotational symmetry?if yes, select the angles of rotation less than 360°
What is 0.57 as a fraction?
*57 REPEATING*
*IN THE SIMPLEST FORM*
WHOEVER GETS IT RIGHT GETS 5 STARS AND THE BRAIN COWN THING
Answer:
19/33
Step-by-step explanation:
57 repeating = 0.57
1. x = 0.57
2. mutiply each side by 10² = 100
100x = 57.57...
3. subtract
x = 0.57 from 100x = 57.57...
and get 99x = 57.
4. solve for x
x = 57/99
5. find the GCF of 57 and 99
57 ÷ 3 = 19
---- --- ----
99 ÷ 3 = 33
6. x = 19/33
Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control conditions can be attributed to age or personality differences in research participants?.
The technique that most clearly minimizes the likelihood that any outcome differences between the experimental and control groups is e. random assignment.
What is random assignment?A methodology used to divide research participants into two groups—the treatment group, also known as the experimental group, and the control group—by randomization is known as random assignment, also known as random placement.
Every research volunteer has an equal chance of being assigned to any of the groups thanks to this randomization mechanism.
In studies, random assignment is a method used to divide participants into different research groups with similar characteristics so that the groups are equal at the start of the investigation.
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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control groups can be attributed to age or personality differences in research participants?
a. the double-blind procedure
b. statistical measurement
c. replication
d. operational definitions
e. random assignment
Which of the following expressions is equivalent to 32x − 3?
the quantity 9 to the power of x end quantity over 27
the quantity 6 to the power of x end quantity over 9
the quantity 2 to the power of x end quantity over 3
the quantity 1 to the power of x end quantity over 9
The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.
Equivalent expressionIt follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;
3^(2x -3)
= 3^(2x) × 3-³
= (3²)^x × 1/3³
= 9^(x) × 1/27
= 9^(x)/27.
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The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.
How to use Law of Indices?Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.
Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³
Now, according to laws of indices;
3^(2x) = (3²)ˣ
Thus, we now have;
= ((3²)ˣ)/3³
= 9ˣ/3³
= 9ˣ/27
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PLS HELP
SHOW WORK
------------------------------
The equation is d + 3h = $13
The cost of each hamburger is $3.5
Solving an EquationFrom the question, we are to write and solve the equation for the problem.
From the given information,
Danie purchases one hot dog $2.50
and
3 hamburgers
and
He spent $13 total
Let d represent hot dog
and
h represent hamburger
Then,
d = $2.50
We can write that
d + 3h = $13
$2.50 + 3h = $13
3h = $13 - $2.50
3h = $10.5
h = $10.5/3
h = $3.5
Hence, the cost of each hamburger is $3.5
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find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−8, 0, 0) and q(−2, 0, 0).
The plane is defined by the equation, x = -3.
What do we mean by equations?A mathematical statement made up of 2 expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value for the variable x as x = 7 after solving this equation.To find the equation:
The distance from p(-9, 0, 0) seems to be:
d = sqrt((x+9)² + y² + z²)The separation from q(3,0,0) would be:
d = sqrt((x-3)² + y² + z²)Let's make them the same size as follows;
sqrt((x+9)² + y² + z² ) = sqrt((x-3)² + y² + z² )Square both sides before simplifying:
(x+9)² + y² + z² = (x-3)² + y² + z² x² + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y² + z² 18x + 81 = - 6x + 9 24x + 81 = 9 24x = -72 x = -3Therefore, the plane is defined by the equation, x = -3.
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The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)
Slope please help algreab 1
Answer:
1/2x-2
Step-by-step explanation:
sise over run and then graph on desmos
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )
m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 1 )
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
Can someone help me with this
Answer:
LM + MN=LN
Therefore (2x-16)+(x-9)=11
2x-16+x-9=11
2x+x-16-9=11
3x-25=11
3x=11+25
3x=36
x=36/3
x=12
Therefore MN=(12-9)=3
MN=3
Which statement about the product is true?
5.643 x 4.6
O The product is irrational.
The product is neither rational nor irrational.
O The nature of the product cannot be determined.
O The product is rational.
Answer:
Product is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
the product is rational
leila is buying a dinosaur model. the price of the model is x dollars, and she also has to pay a 7%7\%7%7, percent tax.
This problem is associated with linear equations. The total price will be 1.07x dollars.
What is a linear equation?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.
Given,
Leila is buying a replica of a dinosaur.
The model is priced at x dollars, plus she must pay a 7% tax.
7% is shown in decimal form.
= 0.07
Tax price = 0.07 times the model's cost
= 0.07x
Total cost Leila pays for the model by adding the tax price to the model's cost.
Combining the values in the aforementioned
Leila pays the model a total of 0.07x + x.
= 1.07 in currency
As a result, Leila pays a total of 1.07 for the model.
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Solve the inequality for x and identify the graph for its solution |x+3|>2
Answer:
Inequality Form:
x<−5 or x>−1
Interval Notation:
(−∞,−5)∪(−1,∞)
Step-by-step explanation:
The ratio of cars to trucks in a parking lot is 5 cars to 3 trucks. there are 30 cars in the parking lot. how many trucks are in the parking lot
If the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18
Given,
The ratio of cars to truck in the parking lot = 5:3
Total number of cars in the parking lot =30
Then, the equation will be
5x=30
x=6
Then, the number of tucks in the parking lot =3x
3×6=18
Hence, if the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18
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1. Jacob wants to buy chocolate spread. There are 8-oz container of
chocolate spread for $0.56 or a 32-oz container of chocolate
spread for $2.56. Which one is a better buy? (Which one has a lower
unit rate?) (5 points).
The
container has a lower unit rate.
Answer: 8oz container has a lower unit rate
Step-by-step explanation:
8 oz = 0.56
32 oz = 2.56
Question: how much is each container per oz
8oz:0.56/8 = 0.07 per oz
32 oz:2.56/32 = 0.08 per oz
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
-1 - 17x
Step-by-step explanation:
Firstly you arrange the like terms as follows:
(17 - 18) (- 12x - 5x)
Then you work it out:
17 - 18 = -1
-12x - 5x = -17x
After you combine the answers:
-1 -17x
Finally you get:
-1 - 17x
1. ¿Cuál o cuáles son los interceptos con el eje x , de la función
2.Especifica una ecuación cuadrática para las siguiente raíz:
3.Las soluciones de la ecuación
4.Usa la discriminante para determinar la naturaleza de las raíces de las ecuaciones.
5.Plantea una ecuación cuadrática para la parábola
Utilizando la formula de Bhaskara obtenemos los interceptos del eje x que son en x = 0.
La cuadratica con las dadas raices es:
f(x) = x^2 + 64
¿Como encontrar los interceptos con el eje x?
Primero tenemos la función cuadratica:
f(x) = 2x^2 - 6x + (9/2)
Primero, debemos encontrar las soluciones a la ecuación:
2x^2 - 6x + (9/2) = 0
Esto nos dara los interceptos con el eje x.
Usando la formula de Bhaskara obtendremos:
x = ( 6 ± √( (-6)^2 - 4*(9/2)*2 )/(2*2)
x = (6 ± 0)/4
Entonces tenemos dos interceptos del eje x en el mismo punto, que es x = 6/4 = 3/2
2) Ahora nos dan dos raices, que son x = 8 y x = -8
Recordar que si nos dan dos raices a y b, entonces una cuadratica con esa raices será:
f(x) = A*(x - a)*(x - b)
Donde A es el coeficiente lider de la cuadratica. En este caso no nos dan un valor de A, por lo que asumimos es 1.
Entonces esta cuadratica será:
f(x) =(x - 8)*(x + 8)
Expandiendo:
f(x) = x^2 + 64
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On a number line, point A is located at 9 and point B is located at -5. What is AB?
Answer:
14
Step-by-step explanation:
Im pretty sure its 14
so point A is at -5 which is here
-5 -4 -3. -2. -1. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9
A
and point B is located here
-5 -4 -3. -2. -1. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9
A B
the distance would be:
-5+5= 0 ( the bold numbers are the ones you add together)
then
0+9=9
so 5+9= 14
On one day at a local minigolf course, there were 365 customers who paid a total of $3,100. If the cost for a child is $8 per game and the cost for an adult is $11 per
game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
11x + 8y = 365
x+y = 3100
O11x+8y=3100
x+y = 365
O8x + 11y = 365
x+y=3100
O 8x + 11y = 3100
x+y = 365
The equations for modelling the scenario is 8x + 11y = 3100
x + y = 365 (option d)
Given,
Total number of customers at a local mini golf house = 365
Total amount paid by a customer = 3100
The cost for a child per game is = $8
The cost for an adult per game is = $11
So,
First equation will be:
x represents the number of children
y represents the number of adults
x + y = 365
Second equation is :
x represents the number of children
y represents the number of adults
Total amount paid by a customer = 3100
The cost for a child per game is = $8
The cost for an adult per game is = $11
8x + 11y = 3100
The equation of the given statement:
8x + 11y = 3100
x + y = 365
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Answer:
option D
Step-by-step explanation: the answer d
ANSWER ASAP I NEED HELP
Type the correct answer in the box. Use numerals instead of words.
In the figure, angle B measures 44°º, angle A measures 62°, and angle E measures 50°.
Complete the equation to solve for f, the measurement of angle F.
f=180°-50°-
Answer:
56
Step-by-step explanation:
Answer:
the answer is
f = 180°-50°74°
HELP 50 PTS AND BRAINLY!!!
Answer:
The sum will be close to 1/2
Step-by-step explanation:
1/4+2/7=15/28
The common denominator of 1/4 and 2/7 is 28.
1/4 -> 7/28
2/7 -> 8/28
7/28+8/28=15/28
turn that into a decimal and it will round to 0.5257
1/2=0.5
so the answer will be closer to 1/2
Answer:The sum would be close to 1/2
Step-by-step explanation: