The ratio of distance travelled by walking to distance travelled by bus is 1 : 6.
What is ratio?When two quantities of the same units are compared, the ratio is what shows how much of one quantity is included in the other.
Total no. of Feet in a Mile = 5280
Distance Gary walked to the bus stop = 220 feet
Distance travelled by bus = 1/4 mile = (1 / 4)*5280 = 1320 feet
Ratio of distance walking to distance by bus = 220 / 1320 = 1 : 6
Hence, the ratio of distance travelled by walking to distance travelled by bus is 1 : 6.
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17. If13=xy-5 and y = 6, what is the value of x? (A) 0 (B) 3 (C) 6 (D) 8
Answer:
Option B: 3
Step-by-step explanation:
#1: Substitute in 6 for [tex]y[/tex] and 3 for [tex]x[/tex]: [tex]13=(3)(6)-5[/tex]
#2: Multiply 3 and 6: [tex]13=18-5[/tex]
#3: Evaluate the equation: [tex]13=18-5[/tex] → [tex]13=13[/tex]
#4: Check if the solution is equal: [tex]13=13[/tex] ✓
[tex]x[/tex] is equal to 3 (Option B).
The citizens of a state may only register to vote after proving to have submitted their census survey.
The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.
What is census survey?In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.
The purpose of census survey are-
We obtain this information by posing questions to members of the household regarding the occupants of the home, apartment, mobile home, or group housing.The census helps our communities decide where to build everything from homes to hospitals, from schools to supermarkets, and it provides information about who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.It aids in predicting the nation's economic needs, such as those for electricity, housing, food, etc. figuring out the country's population size, standard of life, and number of unemployed people.To know more about census, here
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The complete question is-
The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)
Solve this system of equations: y = x2 – 3x 12 y = –2x 14 1.isolate one variable in the system of equations, if needed. y = x2 – 3x 12 y = –2x 14 2.use substitution to create a one-variable equation. –2x 14 = x2 – 3x 12 3.solve to determine the unknown variable in the equation. what are the values of x? {–2, 1} {–2, 4} {–1, 2} {–1, 4}
Answer:
our answer is X=2 or X= -1
Answer: C. {-1,2}
Correct on Edge 2023
Solve the following quadratic by
completing the square.
f(x) = x² + 2x - 12
+√[]
x = [?] +
Answer:
{x = -1 + √13 , x = -1 - √13}
Step-by-step explanation:
Completing the square:
f(x) = x² + 2x - 12
= x² + 2x + 1 - 1 - 12
= (x² + 2x + 1) - 1 - 12
= (x + 1)² - 13
Solving:
f(x) = 0
⇔ (x + 1)² - 13 = 0
⇔ (x + 1)² = 13
⇔ x + 1 = √13 or x + 1 = -√13
⇔ x = -1 + √13 or x = -1 - √13
If Avogadro's number of pennies is divided equally among the 246 million men, women, and children in the United States, how many dollars would each receive
USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].
What is the US dollar?The US dollar is the official currency of the United States and a number of other countries. The Coinage Act of 1792 established the United States dollar on equal footing with the Spanish silver dollar, divided it into 100 cents, and authorized the minting of coins denominated in dollars and cents.To find how many dollars would each receive:
Avogadro's number of pennies is divided equally among 261 million people.
Avogadro's number is [tex]6.022[/tex] × [tex]10^{23}[/tex].
To find the number of pennies each person will receive, we divide [tex]6.022[/tex] × [tex]10^{23}[/tex] by 261 million.
Pennies per person = [tex]\frac{6.022 * 10^{23} }{261 million} = \frac{6.022 * 10^{23} }{261 * 10^{6} } = 2.31 * 10^{15}[/tex]
This is equal to the number of cents each person receives.
To convert pennies into dollars, 1 USD = 100 pennies, divide [tex]2.31 * 10^{15}[/tex] by [tex]100[/tex].
USD per person = [tex]\frac{2.31 * 10^{15} }{100} = $2.31 * 10^{13}[/tex]
Therefore, USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].
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The question you are looking for is here:
If Avogadro's number of pennies is divided equally among the 261 million men, women, and children in the United States, how many dollars would each receive?
chegg find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative f(x)
The derivative and domain of the function f(x) = x²-2x³ is :[tex](-\infty, \infty)[/tex].
What is derivative of the function (differentiation)?The slope of a function's graph or, more precisely, the slope of the tangent line at a point can be used to interpret a function's derivative.
Its computation actually stems from the slope formula for a straight line, with the exception that curves require the employment of a limiting procedure.
Calculation for the derivative:
Step 1: Use the definition of the derivative. Remember that f(x+h) means plug (x+h) into everywhere there is an "x" in f(x).
[tex]\begin{aligned}f^{\prime}(x) &=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \\&=\lim _{h \rightarrow 0} \frac{(x+h)^{2}-2(x+h)^{3}-\left(x^{2}-2 x^{3}\right)}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(x^{2}+2 h x+h^{2}\right)-2(x+h)(x+h)^{2}-x^{2}+2 x^{3}}{h} \quad \text { cancel } x^{2}\end{aligned}[/tex]
[tex]\begin{aligned}&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2(x+h)\left(x^{2}+2 h x+h^{2}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2\left(x^{3}+2 h x^{2}+h^{2} x+h x^{2}+2 h^{2} x+h^{3}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-2 x^{3}-4 h x^{2}-2 h^{2} x-2 h x^{2}-4 h^{2} x-2 h^{3}+2 x^{3}}{h}\end{aligned}[/tex]
[tex]=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-6 h x^{2}-6 h^{2} x-2 h^{3}}{h}[/tex]
Step 2: Cancel out a factor of h from each term in the numerator with the h in the denominator. Then direct substitute h=0.
[tex]\begin{aligned}&=\lim _{h \rightarrow 0}\left(2 x+h-6 x^{2}-6 h x-2 h^{2}\right) \\&=2 x+0-6 x^{2}-6(0) x-2(0)^{2} \\&=2 x-6 x^{2}\end{aligned}[/tex]
f and f' are polynomials, so their domains are all real numbers.
Therefore, for f(x) = x²-2x³ domain of f and f' :[tex](-\infty, \infty)[/tex].
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The complete question is -
Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative f(x) = x²-2x³.
4 2/7 - 2 1/3 =
4,5 - 2 5/8 =
5 2/8 - 15% =
Thanks for answer!
The simplified form of the expressions: 4 2/7 - 2 1/3, 4.5 - 2 5/8 and 5 2/8 - 15% are 41/21, 15/8 and 51/10 respectively.
What are the simplified form of the expression?1) 4 2/7 - 2 1/3
First we convert the mixed fraction 4 2/7 and 2 1/3 into an improper fraction.
4 2/7 = (7×4 + 2 )/7 = 30/7
2 1/3 = (3×2 + 1 )/3 = 7/3
Hence,
30/7 - 7/3
( 30×3 - 7×7 )/21
( 90 - 49 )/21
41/21
2) 4.5 - 2 5/8
First we convert both 4.5 and 2 5/8 into an improper fraction.
4.5 = 4 5/10 = (4×10 + 5)/10 = 45/10 = 9/2
2 5/8 = (2×8 + 5 )/8 = 21/8
Hence,
9/2 - 21/8
(9×8 - 21×2 )/16
(72 - 42 )/16
30/16
15/8
3) 5 2/8 - 15%
First we convert both 5 2/8 and 15% into an improper and proper fraction respectively.
5 2/8 = (5×8 + 2)/8 = 42/8 = 21/4
15% = 15/100 = 3/20
Hence
21/4 - 3/20
(21×20 - 3×4 )/80
(420 - 12 )/80
408/80
51/10
Therefore, the simplified form of the expressions: 4 2/7 - 2 1/3, 4.5 - 2 5/8 and 5 2/8 - 15% are 41/21, 15/8 and 51/10 respectively.
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PLEASE HELP GEOMETRY
answer both parts
1) vertical angles theorem
2) transitive property of congruence
What is the solution of…
Answer:
x/2>5
x>5*2
x>10.....equation 1
3x≥9
x≥9/3
x≥3.....equation 2
so by combining of the two equation we get
x>10 because it is the intersection of the. . two equations.
The answer will the Third
Help me with this question please
Answer:
x- axis , quadrant 2 , quadrant 3
Step-by-step explanation:
(9.5, 0 ) ← is located on the x- axis
(- 4, 7 ) ← is located in Quadrant II
(- 1, - 8 ) ← is located in Quadrant III
Find the diameter that represents the 49th percentile
Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.
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.Using a calculator, the mean and the standard deviation for the diameters are given as follows:
[tex]\mu = 1.524, \sigma = 0.1226[/tex]
The 49th percentile is X when Z = -0.025, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.025 = \frac{X - 1.524}{0.1226}[/tex]
X - 1.524 = -0.025 x 0.1226
X = 1.52.
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Question 20
Points 3
The height of a lighthouse is 98 meters and the distance between the top of the lighthouse and boat is 125 meters. Find the distance
between the bottom of the lighthouse and the boat.
O 125 m
O 77.6 m
The distance between the bottom of the lighthouse and the boat is 77.6m.
What is the distance between the bottom of the lighthouse and the boat?
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
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A set of golf clubs and bag cost $225. The clubs cost $60 more than the bag. How much do the clubs cost?
Answer:
$142.5
Step-by-step explanation:
225-60=165
165/2=82.5
82.5+60=142.5
How much wood is needed to replace the entire roof of this gazebo that is in the
shape of a right pyramid on top of a regular octagon? (Note: The roof's base does
not require wood.)
Joanna has six beads that she wants to assemble into a bracelet. Two of the beads have the same color, and the other four all have different colors. How many different ways can Joanna assemble her bracelet
Joanna can assemble her bracelet in 30 ways.
How to find the number of ways in which the bracelet can be assembled?It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.
The rest 4 are of different colors.
Six beads can be arranged in a circle in 6!/6 ways.
This means that the six beads can be arranged in 5! ways.
Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.
5!/2 = 5*4*3*2*1/2
= 60
Now, we know that two beads are of the same color. Therefore, we must divide this by two again.
Therefore, we get:
60/2 = 30
The six beads can be arranged in 30 ways to make the bracelet.
Therefore, we have found that Joanna can assemble her bracelet in 30 ways.
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given that
5x : 8 = 7 : 2
calculate the value of x
give your answer in its simplest form
Answer: x=5.6 or 5 3/5
Step-by-step explanation:
Cross multiplication is when you have two fractions (ratios) that are equivalent and you can multiply the numerator of the first one by the denominator of the second one, and the denominator of the first one by the numerator of the first one. The answers to these two are equivalent.
So, 5x/8 = 7/2
10x=56
x=5.6
x= 5 3/5
Two cans each hold 750ml by how many ml is their total volume less than 1.8 liters
If two cans hold 750ml ,then their voLume is 0.3 liters less than 1.8 liters.
Given volume of two cans being 750 ml each.
We are required to calculate the quantity in liters of how much the volume of two cans less than 1.8 liters.
Volume is the quantity of substance a container can hold in its capacity.
So volume of cone means quantity of liquid cone can hold if fully filled.
Volume of first cone=750 ml
Volume of second cone=750 ml
Total volume=750+750
=1500 ml
1 liter= 1000 ml
so 1500 ml will be equal to 1500/1000
=1.5 liter
We are required to do comparison with 1.8 liters.
Difference =1.8-1.5
=0.3 liters.
Hence two cans have 0.3 liters less than 1.8 liters.
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Find unknown angle
kº
68°
kº
Answer:
k = 56
Step-by-step explanation:
2k + 68 = 180
2k = 112
112 ÷ 2 = 56
k = 56
write an equation for the graph of a linear function that has slope -1/3 and a y intercept -3
Answer: y=-(1)/(3)x-3
Please mark brainiest
what is trigonometric ratios
Answer:
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle
Answer:
In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
Hi
How are you?
Kya kar rahi hoo?
The sampling distribution used when making inferences about a single population variance is?
We use the chi-square distribution when making inferences about a single population variance.
Short Description of Chi-Square Distribution
The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.
Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:
S² = ∑(Yₓ - Y') / (n-1)
The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.
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Suppose you vote in an election for a slate of candidates from a particular party.The percentage of votes the party wins in a district determines how many seats in a district the party will gain at the national legislature. These districts are best characterized as
These districts are best characterized as Proportional Representation districts.
What is Proportional Representation?
There are numerous types of proportional representation systems, but they all have two things in common. They start by using districts with multiple members.
Proportional Representation, abbreviated as PR, uses significantly bigger districts that elect multiple members at once, such as five or ten, rather than electing one member of the legislature in each local district. Second, the percentage of votes a party receives in these districts with several members determines which candidates gain the seats.
The Proportional Representation system of America overcomes the wide ranging drawbacks of single-district voting system like not representing the large number of voters, discrimination against third parties, etc.
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P(x) · Q(x) = R(x); if P(x) = x + 1 and R(x) = 2x³ + 2x²- 3x-3, what is Q(x)?
A. 2x² - 3
B. 2x² - 2
C. 2x² + 2
D. 2x² + 3
Answer: A
Step-by-step explanation:
[tex]P(x) Q(x)=R(x)\\\\(x+1)Q(x)=2x^3 + 2x^2 - 3x-3\\\\Q(x)=\frac{2x^3 + 2x^2 - 3x-3}{x+1}\\\\Q(x)=\frac{2x^2 (x+1)-3(x+1)}{x+1}\\\\Q(x)=2x^2 - 3[/tex]
what’s ten times ten
The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assistants. What is another way of writing this compound inequality?
x ≤ 8.00 and x < 9.50
x ≤ 8.00 or x < 9.50
x ≥ 8.00 and x < 9.50
x ≥ 8.00 or x < 9.50
Answer:
The 3rd answer down
Step-by-step explanation:
If I broke apart the initial answer, I would see that x is equal to or greater than 8 and x is less than 9.5
help me with this pls asap
Answer:
your picture is blank if you can fix it i will be glad to help you
Step-by-step explanation:
Answer:
First option
Step-by-step explanation:
The line corresponds to the f(x).
Hope this helps
Meredith found the following partial containers of detergent in the basement: 12 quart, 114 gallons, and 34 gallon. how many quarts of detergent did meredith find in all?
Quarts of detergent 1208
First, we convert each unit to its pint equivalent.
1 gallon =eight US Pint
114 gallons =114 X eight =912 Pint
34 gallon =34 X 8 =272 Pint
further, 1 quart =2 Pint
12 quart = 12 X 2 Pint =24 Pint
including the three values
912+272+24=1208 Pint
therefore, Meredith will want 1,208 Pint boxes.
The unitary technique is a way of solving trouble by way of first finding the fee of a single unit, and then finding the essential value with the aid of multiplying the unmarried unit price.
The system of the unitary technique is to locate the fee of an unmarried unit after which multiply the fee of a single unit to a wide variety of devices to get the vital fee.
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Which of the following is equal to the fraction below ?
(answers are in the picture)
Anabelle collected data on the favorite superhero of the students in her class. The table shows the relative frequencies of rows for the data collected: Favorite Superhero Superman Spiderman Batman Wonder Woman Row totals Boys 0.21 0.25 0.06 0.11 0.63 Girls 0.25 0.02 0.03 0.07 0.37 Column totals 0.46 0.27 0.09 0.18 1 Based on the data, which superhero is most likely to be the favorite
Considering the proportions given in the table, the superhero is most likely to be the favorite is Superman.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Looking at the table, the proportions associated with each superhero is given as follows:
Superman: 0.46.Spiderman: 0.27.Batman: 0.09.Wonder woman: 0.18.As it has the highest proportion, the superhero is most likely to be the favorite is Superman.
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How many non-square numbers lie between the 215to the power of 2 and 216 to the power of 2
There are 430 non square numbers that lie between [tex]215^{2}[/tex] and [tex]216^{2}[/tex].
Given two numbers [tex]215^{2}[/tex] and [tex]216^{2}[/tex] and we are require to find non square numbers that lie between them.
Numbers can be consecutive numbers or non consecutive numbers. In our question we will find the consecutive numbers.
Square numbers are those numbers whos square is in a proper number means decimal should not be there.
First number=[tex]215^{2}[/tex]
Second number=[tex]216^{2}[/tex]
First we have to find the exact value of numbers by finding the square of these numbers.
First number=215*215=46225
Second number=216*216=46656
Numbers that lie between them=(46656-46225)-1
=431-1
=430
Hence 430 numbers lie between [tex]215^{2}[/tex] and [tex]216^{2}[/tex].
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