pam drives her hybrid 243 mi in city driving on 4.5 gal of gas. at this rate, how many gallons of gas are required to drive 621 mi?
11.5 gallons of gas will be required for 621 miles.
Let us assume the gas required for 621 miles be x. The rate of gas utilization for 243 miles = 243/4.5
The rate of gas utilization for 621 miles = 621/x. The gas consumed will be equal in both the cases, hence, equating the two equations.
243 ÷ 4.5 = 621 ÷ x
x = (621 × 4.5) ÷ 243
Performing multiplication on Right Hand Side of the equation
x = 2794.5 ÷ 243
Performing division on Right Hand Side of the equation
x = 11.5 gallons
Hence, 11.5 gallons of gas is required.
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What is the equation of the line that passes through the point (-3,1) and has a
slope of 4/3? Show your work
HELP ASAP PLEASE!!!!!!!!!!!!!
HELP AND SHOW UR WOrk Which of the expressions below has a product that is greater than 75? Select all that apply. A) 8.92 × 8 B) 9.55 × 8 C) 12.8 × 6 D) 12.1 × 6)
which answers is correct
A B C D
Answer:
B and C
Step-by-step explanation:
Find all the products.
A) 8.92 × 8 = 71.36
B) 9.55 × 8 = 76.4
C) 12.8 × 6 = 76.8
D) 12.1 × 6 = 72.6
Answers:
9.55x8= 76.4
12.8x6=76.8
Wrong:
8.92x8
12.1x6
Hope this helped you.
consider the relationship below given pi/2<0
sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.
In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.
When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.
The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.
In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.
Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.
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A student plans to enroll at the university and plans to continue there until earning a PhD degree (a total time of 9 years). If the tuition for the first 4 years will be $7,200 per year and it increases by 5% per year for the next 5 years, what is the present worth of the tuition cost at an interest rate of 8% per year?
The present worth of the tuition cost for a student planning to enroll at the university for 9 years, with the first 4 years costing $7,200 per year and a 5% annual increase for the next 5 years, can be calculated at an interest rate of 8% per year. The present worth is $23,455.297.
To calculate the present worth of the tuition cost, we need to consider the time value of money, which accounts for the fact that money in the future is worth less than money in the present. We can use the concept of present value to determine the worth of future cash flows in today's dollars.
For the first 4 years, the tuition cost is constant at $7,200 per year. To find the present value of these cash flows, we can use the formula for the present value of a fixed cash flow series. Applying this formula, we find that the present value of the first 4 years' tuition cost is
\(7,200 + 7,200/(1+0.08) + 7,200/(1+0.08)^2 + 7,200/(1+0.08)^3.\)
For the next 5 years, the tuition cost increases by 5% per year. We can use the concept of future value to calculate the value of these cash flows in the last year of the 9-year period. Applying the formula for future value, we find that the tuition cost in the last year is \($7,200*(1+0.05)^5.\)
Finally, we can sum up the present value of the first 4 years' tuition cost and the future value of the tuition cost in the last year to obtain the total present worth of the tuition cost for the 9-year period.
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Please explain the utilization of Thematic Analysis in a
Qualitative Descriptive Study Design.
Thematic analysis is an analytical approach that examines text-based data to recognize patterns of meaning across qualitative data sets.
Qualitative Descriptive Study Design refers to an exploratory qualitative research design that has the goal of describing a phenomenon as it is experienced by the participants involved. The goal of this approach is to give a detailed and holistic depiction of the experience of the participants involved. The use of Thematic Analysis in Qualitative Descriptive Study Design helps to establish a better understanding of the research context by extracting themes and categories.Main Ans:Thematic analysis is a common qualitative research method that is applied in Qualitative Descriptive Study Design to establish patterns and insights on how particular ideas manifest in different contexts. It involves analyzing qualitative data, such as interviews, focus groups, and observations, to identify and interpret patterns in the data. In a Qualitative Descriptive Study Design, researchers identify themes and patterns through an iterative process that involves reading through the data, assigning codes, and identifying categories. The themes are then interpreted, and conclusions are drawn from the study. 100 Words:Thematic Analysis is a qualitative research technique that is used in Qualitative Descriptive Study Design to recognize patterns of meaning across qualitative data sets. The method enables researchers to gain a better understanding of the research context by extracting themes and categories from the data. Thematic Analysis is an iterative process that involves reading through the data, assigning codes, and identifying categories. In a Qualitative Descriptive Study Design, researchers utilize the themes identified to establish a better understanding of the phenomenon under investigation. The approach aims to provide a holistic depiction of the experience of the participants involved. The conclusions drawn from the study assist in establishing an in-depth understanding of the research context.
By utilizing Thematic Analysis in Qualitative Descriptive Study Design, researchers are able to gain a better understanding of the participants' experience, which contributes to the establishment of a comprehensive research context. The outcomes of the research study assist in drawing conclusions that contribute to the understanding of the research area.
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I really need help on these 3 problems however helps me I just want to say god bless u and thanks for taking your time to answer my question #24, #28, # 29
Answer: how nice of you :) may god bless you too however You didn’t send the questions
An enclosure at a zoo contains giraffes and ostriches. All together the zookeeper counts 70 heads and 200 legs. How many of each animal are there?
By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
A mathematical statement known as an equation is made up of two expressions joined by the equal sign.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the number of the variable x is 7.
So, calculate as follows:
Let g represent giraffes and o represent ostriches.
g + o = 70 ...(1)
4*g + 2*o = 200 ...(2)
g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:
4*g + 2*o = 200
4*(70-o) + 2*o = 200
280 - 4o + 2o = 200
-2o = 200 - 280
2o = 80
o = 80/2
o = 40
Ostriches are 40 then giraffes will be:
70 - 40 = 30
Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
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➤ Solve the inequalities.
T -3 is less than or equal to 2
-3 is less than 2
< is the symbol
ms eisner pays 888 for 6 nights in a hotel how much does ms eisner pay per night
Answer:
148$ per night.
Step-by-step explanation:
888 divided by 6 = 148.
The Answer is 148
888/6=148
Simplify 12 to the 16th power over 12 to the 4th power. 1212 124 112 14
Greetings from Brasil...
Here's our problem:
\(\large{\frac{12^{16}}{12^{4}}}\)
From potentiation properties:
Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ
division of power of the same base: I repeat the base and subtract the exponents
Bringing to our problem
12¹⁶ ÷ 12⁴
12¹⁶⁻⁴
12¹²Answer:
\(12^{12}\)
Step-by-step explanation:
The distance between two towns on a map varies directly with the actual distance between the towns.
Seven and a half inches on the map represents 150 miles. What is the actual distance represented
by 11 inches on the map?
Answer: 220 miles
Step-by-step explanation:
(150 miles)/(7.5 inches) = 20 miles/inch
(20 miles/inch)*(11 inches) = 220 miles
BRAINLIEST.... PLS ASAP
Question on the image please help
Answer: 0.195
Step-by-step explanation:
Which of the following expressions does not represent “half of three times a quantity b”?
A. 2/3b
B. 0.5(3b)
C. 3/2b
D. 1.5b
Capital Cars rents a compact car for 3
days for $132. How much does it cost
to rent the car for 1 day?
Answer: $44
Step-by-step explanation:
Ashley is making trail mix.The ratio of peanuts to raisins in one portion is 5:9. Create a ratio table to find out how many peanuts and raisins you will need if you make 7 portions and 12 portions
The number of peanuts and raisins for 7 portions is 35 and 63 respectively.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of peanuts to raisins in one portion is 5:9.
Number of peanuts and raisins you will need if you make 7 portions and 12 portions.
Now, 5×7 : 9×7
35:63
Here, 5×12 : 9×12
60 : 108
Therefore, the number of peanuts and raisins for 7 portions is 35 and 63 respectively.
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Jane and her friends are going on a hiking trip. Jane wants to make snack packs
to take on the trip. She has 24 apples and 36 small bags of trail mix. Each snack
pack must have the same number of apples and the same number of bags of
Answer:
Answer: 4 apples and 6 bags of trail mix per pack
Step-by-step explanation:
HELP PLEASEE EMERGENCY
I WILL GIVE BRAINIEST
Answer:
The answer is 2
Step-by-step explanation:
-3+1/-1+0 = -2/-1 = 2 .
Good luck .
Ok as you can see for the x row, the number increase by 1.
For the y row, it increase by 2.
So your slope will be 1/2 and it’s positive sine both x and y is positive.
What is the value of x?
X
89°
G
X+43°
F
X+32°
E
The value of x for the given circle G for the given measures of angles is 98.
Given a circle with center G.
The circle has been divided in to various sectors by drawing lines from G to E, F and D.
The measures of central angles formed at these secrtors is also given.
We have to find the value of x.
∠DGF = 89°
∠EFG = x + 32°
∠EGD = x + 43°
Since all these angles form the total angle of the circle at the center, the sum of these angles is 360°.
89 + x + 32 + x + 43 = 360
2x + 164 = 360
2x = 196
x = 98
Hence the value of x is 98.
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Help asap!! Will give brainlist
The combined area of dark pieces is 253.5 in².
First, Area of 5 light pieces
= length x width
= 3 3/4 x 39
= 15/4 x 39
= 146.25 in²
Now, Area of board
= L x W
= 29 x 39
= 1131 in²
Thus, the combined area of dark pieces
= 1131 - 146.25 x 6
= 253.5 in²
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QUICKLY! ILL GIVE BRAINLEST AND THANKS!!
The number of kilometer, k, an airplane flew is shown in the table, where the time, t, is hours after take off. Choose the most appropriate scale for graphing this data set.
Answer:
t one because changing for t is approximately 1
and for kilometers is better you choose 1000
hello can anyone help me
Answer:
Its a
Step-by-step explanation:
since its moving 2 units to the right its only moving in the x direction so you just add 2 to each value of x
Emmy just got her hair cut, colored, and styled for $70. She wants to leave the stylist
a tip of 20%. How much is the tip?
Answer:
20% of 70 is 14
Step-by-step explanation:
l
The temperature in London was -1º C. The next day it fell by a further 4ºC. What was the new temperature?
Answer:
-5
Step-by-step explanation:
Given:
-1°c
Fell further 4°c (Fell Further mean negative so -4)
Solve:
-4 + -1 = -5
additional reference geometry such as user-created reference planes must reference the default top, left and right planes. True or false?
Additional reference geometry such as user-created reference planes can be created to reference other planes besides the default top, left and right planes. The given statement is false
Additional reference geometry is a useful tool in CAD software that allows users to create reference planes, axes, and points to assist in the creation of complex models. While the default top, left and right planes are often used as a starting point for reference geometry, users are not limited to these planes. In fact, users can create reference geometry that references any existing plane, axis, or point within the model. This allows for greater flexibility and precision when creating complex models.
In conclusion, it is false that additional reference geometry must reference the default top, left, and right planes. Users can create reference geometry that references any existing plane, axis, or point within the model for greater flexibility and precision.
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What is the constant in the expression 7x + 3
Answer:
3
Step-by-step explanation:
In expressions, there are 4 items to look at :
1. Terms
2. Coefficients
3. Like Terms
4. Constant Terms
Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.
This would mean numbers without a variable, look at the expression below :
7x + 3
Since 3 doesn't have a variable, therefore 3 is a constant term.
A _____ measures the dispersion around the expected value.
A. standard deviation
B. mean
C. coefficient of variation
D. chi square
The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.
Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.
A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.
On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.
The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.
The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.
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there are 6 pizzas to be divided for a baseball team wich has 15 players how much of each pizza will each player receive
Answer:
0.4 or 2/5
Step-by-step explanation: