Answers
Answer:
5. $16.8 6.$16.7 7. 4 costumes 8. no because the slope isn't one 9. 28.8
Step-by-step explanation:
For number 5 you would divide the 90 miles by the two gallons of gasoline used which gives you 45. Your car is using one gallon of gas every 45 miles.
If your trip is going to be 270 miles long then you would divide the 270 by 45 to see how many gallons you would use. You would end up using 6 gallons.
Finally you would multiply the 6 by $2.80 to get $16.80
You would spend $16.80
Related Questions
Evaluate the equation
83.49 = 3.3x
How did you get your answer?
Answers
Answer:
x = 25.3
Step-by-step explanation:
83.49 = 3.3x
divide both sides by 3.3
x = 25.3
x = 2.53
What is the x-intercept of the line 4x - 3y = 16?
What is the x-intercept of the line 10x - 5y = 40?
What is the x-intercept of the line y = -3x - 9?
Answers
Answer:
1.
\((x , y) = (4 ,\: 0)\)
2.
\((4,0) = (x,y)\)
3.
\((x,y) = ( - 3,0)\)
I hope it helps :)
Given f(x + h)-f(x) = 4xh + 4h + 2h2.find the slope of the tangent line at x = 4. OA) 22 OB) 16 OC) 8 OD) 20
Answers
For f(x + h) - f(x) = 4xh + 4h + 2h², the slope of the tangent line at x = 4 is 20. The correct answer is option OD) 20.
To find the slope of the tangent line at x = 4, we can use the definition of the derivative.
The given equation can be rewritten as:
f(x + h) - f(x) = 4xh + 4h + 2h².
Let's rewrite it in a form that resembles the definition of the derivative:
(f(x + h) - f(x)) / h = (4xh + 4h + 2h²) / h.
Canceling out the common factor of h in the numerator and denominator, we have:
(f(x + h) - f(x)) / h = 4x + 4 + 2h.
Now, let's take the limit as h approaches 0 on both sides of the equation:
lim(h->0) [(f(x + h) - f(x)) / h] = lim(h->0) (4x + 4 + 2h).
The left side of the equation is the definition of the derivative of f(x) with respect to x. So, we have:
f'(x) = 4x + 4.
To find the slope of the tangent line at x = 4, we substitute x = 4 into the derivative:
f'(4) = 4(4) + 4 = 16 + 4 = 20.
Therefore, the slope of the tangent line at x = 4 is 20.
The correct answer is OD) 20.
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please help with number 9!!!
Answers
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
a grocery store stocks 1-gallon cartons of skim milk, 1% milk, 2% milk, and whole milk. a customer is asked to buy 10 gallons of milk. the customer needs to buy at least one carton of each type of milk. how many different ways can the kinds of milk to buy be selected?
Answers
Applying combinatorics with repetition, and the condition of at least one type of milk, the customer has 84 different ways to buy 10 cartons of milk. Below I describe the steps for the calculation.
Algoritmo combinatoricsCartonsOfMilk// define variablesDefinir n,fr,r,fn,fnr,CRnr Como Real
fr <- 1
fn <- 1
fnr <- 1
n <- 4 // types of milk
r <- 6 // combinatorial elements (with repetition)
// Factorial of r (fr= r!)Para f<-r Hasta 1 Con Paso -1 Hacer
fr <- fr*f
FinPara
// Factorial of n-1 (fn= (n-1)!)Para f<-n-1 Hasta 1 Con Paso -1 Hacer
fn <- fn*f
FinPara
// Factorial of n+r-1 (fnr= (n+r-1)!)Para f<-n+r-1 Hasta 1 Con Paso -1 Hacer
fnr <- fnr*f
FinPara
// applying the combinatorics with repetition formula (CRnr = (n+r-1)! / r! (n-1)!)CRnr <- fnr/(fr*fn)
// Displaying resultsEscribir '**************'
Escribir 'n+r-1! = ',fnr
Escribir 'r! = ',fr
Escribir '(n-1)! = ',fn
Escribir 'CRnr = ',CRnr
FinAlgoritmo
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100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answers
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
Identify the features of cross-tabulation. (Check all that apply.)
-It is easy to create an endless variety of cross-tabulation tables.
-It gives research analysts a strong tool to summarize survey data.
Answers
The features of cross-tabulation include its versatility in creating a wide range of tables and its effectiveness as a tool for summarizing survey data.
Cross-tabulation, also known as contingency table analysis or crosstab, is a statistical technique used to analyze the relationship between two or more categorical variables.
It involves organizing data into a table format to display the frequency distribution of variables across different categories.
One feature of cross-tabulation is that it allows for the creation of a variety of tables based on the specific research question or objective.
Researchers can choose different variables to cross-tabulate and arrange the categories in various ways, providing flexibility in examining relationships and patterns within the data.
This versatility allows for the exploration of different hypotheses and the identification of significant associations between variables.
Another feature of cross-tabulation is its effectiveness as a tool for summarizing survey data.
By organizing data into a table format, cross-tabulation provides a clear and concise summary of the relationships between variables.
It allows research analysts to compare the frequencies and proportions of different categories across variables, making it easier to identify patterns, trends, and associations within the data.
This summary information is valuable for gaining insights, drawing conclusions, and making informed decisions based on the survey results.
In conclusion, cross-tabulation offers the advantages of versatility in creating a wide range of tables and providing research analysts with a powerful tool to summarize survey data effectively.
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helppppppp A construction company takes 1/4 hours to remove 1/4 metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form. i need this urgentlyyyyyy
Answers
The unit rate in metric tons per hour is 1 metric ton per hour.
The unit rate will be calculated by simply performing the division of amount of dirt by amount of time.
Keep the values in formula to find the value of the unit rate in metric tons per hour.
Unit rate = 1/4÷1/4
Performing division on Right Hand Side of the equation to find the value of the unit rate in metric tons per hour.
Unit rate = 1 metric ton per hour
Thus, the unit rate to remove dirt from construction site is 1 metric ton per hour.
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Employees at a large company can earn monthly bonuses. The distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3. Let z represent the standard normal distribution. If x represents the mean number of monthly bonuses earned last year for a random sample of 40 employees, which of the following calculations will give the approximate probability that x is less than 2 ?
a. P [ z < (2-2.3 / (1.3/√40)) ]
b. P (z < 2)
c. P [z < (2.3-2 / 1.3) ]
d. P [z < (2-2.3 / 1.3) ]
e. P [z < (2.3 -2 / (1.3/√40)) ]
Answers
The correct calculation to find the probability that x is less than 2 is:
d. P [z < (2 - 2.3 / (1.3/√40))]
We know that the distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3.
Since we have a sample of size 40, we can use the central limit theorem to approximate the distribution of the sample mean x with a normal distribution with mean 2.3 and standard deviation 1.3/√40.
To find the probability that x is less than 2, we need to find the z-score corresponding to x = 2, given the distribution of x. We can do this using the formula:
z = (x - μ) / σ
where μ is the mean of the distribution of x (which is 2.3) and σ is the standard deviation of the distribution of x (which is 1.3/√40).
Plugging in the values, we get:
z = (2 - 2.3) / (1.3/√40)
z = -1.63
So, the probability that x is less than 2 is equal to the probability that z is less than -1.63, which is given by the standard normal distribution table as:
P [z < -1.63]
Therefore, the correct calculation to find the probability that x is less than 2 is:
d. P [z < (2 - 2.3 / (1.3/√40))]
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Please help I will give brainilest! And the answers are:
A) Commutative Property of Multiplication,
B) Distributive Property,
C) Associative Property of Addition,
D) Associative Property of Multiplication.
Answers
Answer:
A: Commutative Property of Multiplication
Step-by-step explanation:
Answer:
i will happen to say the answer is A
Step-by-step explanation:
A) Commutative Property of Multiplication
Pablo sold liters of soda at a baseball game. How much is this in milliliters ?
Answers
Answer:
See below
Step-by-step explanation:
# liters x 1000 = ml sold
ABCD is a parallelogram,
Calculate the size of angle x.
You must give
reasons for your answer
Answers
Step-by-step explanation:
let point that BD intersects extended A be Z
angle BDA = 180 - 56 - 78 = 46 deg (supplementary angle in //ogram)
angle AZD = 180 - 98 = 82 deg (angles on a straight line/supplementary angles on straight line)
therefore,
angle x = 180 - 82 - 46 = 52 deg (sum angles of triangle)
A quadratic equation has zeros at -6 and 2. Find standard form
Answers
The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.
To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form
(y - x₁)(y - x₂) = 0
where y is the variable in the quadratic equation.
Substituting the given values of the zeros, we get
(y - (-6))(y - 2) = 0
Simplifying this expression, we get
(y + 6)(y - 2) = 0
Expanding this expression, we get
y² - 2y + 6y - 12 = 0
Simplifying this expression further, we get
y² + 4y - 12 = 0
So the quadratic equation with zeros at -6 and 2 is
y² + 4y - 12 = 0
This is the standard form of a quadratic equation, which is
ax² + bx + c = 0
where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.
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in the klein model, two open chords are interpreted to be "perpendicular" if and only if they are perpendicular in the usual euclidean sense.True or False
Answers
The given statement "In the Klein model, two open chords are interpreted to be 'perpendicular' if and only if they are perpendicular in the usual Euclidean sense" is False because in the Klein model of hyperbolic geometry, perpendicularity is not preserved in the same way as in Euclidean geometry.
In the Klein model, angles and perpendicularity are defined by geodesics, which are curves that minimize distance on the hyperbolic plane. Geodesics in the Klein model are represented by straight lines.
Therefore, two open chords in the Klein model can be interpreted as perpendicular if their corresponding geodesic lines intersect at a right angle on the hyperbolic plane, but this may not correspond to perpendicularity in the usual Euclidean sense. Hence, the given statement is false.
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a statistical method for identifying cost behavior is the:A. Scatter diagram methodB. High-low methodC. Composite methodD. CVP charting methodE. Least-squares regression method
Answers
The statistical method that is used for identifying the cost behavior is (e) Least Squares regression method .
The Least Squares Regression method is defined as a statistical technique that is used to determine the relationship between two variables, which are , "the cost" and its "corresponding activity level" .
This method also involves plotting data points on a scatter diagram and fitting a straight line to data points.
The line that best fits data is line that minimizes sum of squared vertical distances between the data points and the line, this is why it is called the Least Squares regression method.
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The given question is incomplete , the complete question is
A statistical method for identifying cost behavior is the:
(a) Scatter diagram method
(b) High low method
(c) Composite method
(d) CVP charting method
(e) Least Squares regression method
name the sampling method used in this data collection. a polling company wanted to study about hr personnel in tech companies. the pollster selects five tech companies and interviews all hr personnel in each of the 5 companies.
Answers
Cluster Sample is the sampling method used in this type of data collection.
Cluster sampling is a sampling technique used in statistics that divides the total population under consideration into externally homogeneous but internally heterogeneous groupings known as clusters. Each cluster essentially serves as a miniature representation of the overall population.
Using simple random sampling, some clusters are picked after the clusters have been identified, while the remaining clusters are left out of the study. A researcher must determine the right sampling strategy for each cluster after identifying the clusters.
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A home improvement store sells bags of sand, which are labeled as
weighing 35 pounds. The equipment used to package the sand produces bags
with a weight that is within 8 ounces of the labeled weight.
a. Write an absolute value equation to represent the maximum and minimum
weight for the bags of sand.
b. Solve the equation and interpret the result.
Answers
The maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively
Write an absolute value equation to represent the maximum and minimum weight for the bags of sand.Here, we have
Weight = 35 pounds
Labeled weight = within 8 ounces
Convert ounce to pounds
So, we have:
Labeled weight = within 0.5 pound
The equation is then represented as
|x - 35| = 0.5
Where x represents the labeled weight
b. Solve the equation and interpret the result.In (a), we have
|x - 35| = 0.5
Expand
x - 35 = 0.5 and x - 35 = -0.5
Add 35 to both sides
x = 36 and x = 35
Hence, the maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively
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if n 1 integers are chosen from the set {1, 2, 3, , 2n}, where n is a positive integer, must at least one of them be even?
Answers
Yes, One of them must be even and this is because Pigeonhole Principle.
What is Pigeonhole Principle?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.
From series {1,2......2n}, we need to select 'n+1' integers.
Even integers series from above series is {2,4,6..........2(n-1), 2n}
Odd integers series from above series is {1,3,5......2(n-2), 2n-1}
We can choose only n odd integers from the series. Therefore, if we choose n+1 integers, at least one of them must have to be even integer.
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If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?
Answers
Answer:
some people an fly high until good bye
Step-by-step explanation:
Answer:
The final balance would be $1,528.84
Step-by-step explanation:
The final balance would be $1,528.84 and the total compound interest would be $993.84
help asap if you can pls an thank u!!!!!!!
Answers
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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Triangle KNM is isosceles, where angle N is the vertex.
What is the measure of angle K?
Answers
Answer: B
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
23
Step-by-step explanation:
m∠A=cos⁻¹(35/38) = 22.91954215
round your answer to the nearest tenth.
23 degrees is the measure of the indicated angle in the triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right angled triangle.
The side lengths of triangle are 35 and 38.
We have to find the measure of the angle opposite to the right angle.
By using cosine function formula we calculate it.
CosA=Adjacent side/Hypotenuse
CosA=35/38
m∠A=cos⁻¹(35/38)
= 22.91954215
Hence, 23 degrees is the measure of the indicated angle.
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Simplify.
-3(2x - 2) + 4
pls and thank you
Answers
-6x+6+4
-6x+10
express the following quantities as ordinary decimal numbers:
The wavelength of light is 9 x 10-7m
Answers
_________________________________(5+w)(w+4)=_____________________________
Answers
The expression (5+w)(w+4) has a value ofw^2 + 9w + 200 when evaluated
Evaluating the expression (5+w)(w+4)From the question, we have the following parameters that can be used in our computation:
(5+w)(w+4)
The above statement is a product expression that multiplies the values of (5+w) and (w+4)
Also, there is no need to check if there are like terms in the expression or not
This is because we are multiplying the factors
So, we have
(5+w)(w+4) = w^2 + 5w + 4w + 20
Evaluate
(5+w)(w+4) = w^2 + 9w + 20
This means that the value of the expression is w^2 + 9w + 20
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Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answers
You divide the amount of wire by cost, and multiply that by 41
Answer:
1.61
Step-by-step explanation:
72/18 = 4cents per inch
4*41 = 161
1.61$
When I halve it,
the result is 24 less than 46.
what is the number?
Answers
Answer: 44
Step-by-step explanation:
46 - 24 = 22 (when halved so you need to multiply by 2)
22 * 2 = 44
Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements
Answers
Given statement solution is :- a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
Set A: {apple, banana}, Set B: {cat, dog}
Power set of A: {{}, {apple}, {banana}, {apple, banana}}
Power set of B: {{}, {cat}, {dog}, {cat, dog}}
Set A: {red, blue}, Set B: {circle, square}
Power set of A: {{}, {red}, {blue}, {red, blue}}
Power set of B: {{}, {circle}, {square}, {circle, square}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}
Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}
Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}
Set A: {red, blue, green}, Set B: {circle, square, triangle}
Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}
Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
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according to a survey of 1,166 adult college students, the mean number of alcoholic beverages consumed per week is 11, with a standard deviation of 5 beverages. what test statistic is calcuated for this scenario?
Answers
The scenario for test statistic is estimated z-score to make inferences about the population mean which is unknown.
x is the sample mean = 11
μ is the population mean = unknown
σ is the population standard deviation = 5
And n is the sample size= 1,166
Assuming a normal distribution for the number of alcoholic beverages consumed per week,
Use a z-test to calculate the test statistic.
The formula for the z-score is,
z = (x - μ) / (σ / √(n))
Since the population mean is unknown,
Not possible to calculate the exact z-score,
Calculate an estimated z-score using the sample mean,
z = (x - μ) / (σ / sqrt(n))
z = (11 - μ) / (5 / sqrt(1166))
z ≈ (11 - μ) / 0.146
Therefore, need to know the population mean μ for the z-score in the calculated test statistic.
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Which angle is formed by a secant and tangent line?ANGA) GSEB) EGSC) NGL
Answers
In the image line segment SE is the tangent. The secant line making an angle with tangent line SE is NS. So the angle is ∠GSE. So option B is the correct answer.
Tangent is a line which intersect with only a single point on the curve. The point where the line meets is the point of tangency. Tangent line is always perpendicular to the radius drawn to the point of tangency. Here the tangent line is SE, point of tangency is S.
Secant lines are the lines which passes through two points of a curve. A chord drawn to the circle is a secant line. Here there are two secant lines NS and NA. Here only NS makes an angle with the tangent line.
So the angle made by a tangent and secant line is ∠GSE.
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The image for the question is attached below.
