To determine the actual distance of a 4 cm road on a map with a 1:20000 scale, multiply the map measurement by the scale factor to get 80000 cm, then convert it to meters to obtain an actual distance of 800 meters.
Explanation:To work out the actual distance of a road on a map that has a scale of 1:20000, you need to convert the map length to the actual length. If the road measures 4 cm on the map, you would use the following steps:
Determine the scale ratio, which is 1 cm on the map represents 20000 cm in reality.Multiply the map distance by the scale factor. In this case:Therefore, the actual distance of the road is 800 meters.
Archie went to an arcade to play video games he paid $2 for every 11 tokens he bought he spent a total of $16 on tokens which equation can be used to determine t the number of tokens Fred bought
insert the greater than, less than, or equal sign to make each statement true. a. 45/45_1 b. 1_6/3 c. 2/7_ 1 d. 64/23_1
Answer:
[tex]\frac{45}{45}=1[/tex]
[tex]1<\frac{6}{3}[/tex]
[tex]\frac{2}{7}<1[/tex]
[tex]\frac{64}{23}>1[/tex]
Step-by-step explanation:
Given the statements
we have to insert the greater than, less than, or equal sign to make each statement true.
[tex]\text{Statement 1: }\frac{45}{45}?1[/tex]
[tex]\frac{45}{45}...1[/tex]
[tex]1...1[/tex]
which are equal
∴ [tex]1=1[/tex]
[tex]\text{Statement 2: }1?\frac{6}{3}[/tex]
[tex]1...\frac{6}{3}[/tex]
[tex]1...2[/tex]
2 is greater than 1
∴ [tex]1<2[/tex]
[tex]\text{Statement 3: }\frac{2}{7}?1[/tex]
[tex]\frac{2}{7}...1[/tex]
[tex]0.286...1[/tex]
1 is greater than 0.286
∴ [tex]0.286<1[/tex]
[tex]\text{Statement 4: }\frac{64}{23}?1[/tex]
[tex]\frac{64}{23}...1[/tex]
[tex]2.783...1[/tex]
2.783 is greater than 1
∴ [tex]2.783>1[/tex]
Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y
What is the y-intercept of the continuous function in the table?
The y-intercept of a function is where the graph crosses the y-axis, represented by 'b' in the equation y = mx + b. If a table doesn't show x as zero, one can use the line of best fit by inserting the median x and y values and the slope into the formula b = y - mx to calculate the y-intercept.
Explanation:The y-intercept of a continuous function can be understood as the point where the function's graph crosses the y-axis. It is typically represented by the variable b in the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. In the context of the problem provided, if the student is examining a table of values representing a linear relationship, they should look for the value of y when x equals zero to determine the y-intercept directly.
However, if the data does not include an x-value of zero, they could use the line of best fit to calculate the y-intercept by plugging the median x and y values, along with the determined slope, into the formula b = y - mx, where y and x are the medians. For example, if given a slope (m) of 0.09, sum of median x values as 1264, and sum of median y values as 219.5, the y-intercept (b) would be calculated as b = 219.5 - 0.09(1264), which simplifies to approximately 35.25.
This calculation would be necessary if the student is working with data that does not directly provide a scenario where x = 0, such as exam scores or years in a dataset stating from year 1. It's important to note that in some real-world applications, a y-intercept may not be meaningful if the x-value cannot be zero, like in the case of time-based data where the year 0 does not exist.
The y-intercept of the continuous function is (-2). This means that the graph of the function intersects the y-axis at the point (0,-2).
The y-intercept of a continuous function represents the point where the graph of the function intersects the y-axis. In other words, it is the value of y when x is equal to zero.
Looking at the given points:
(0,-6), (-2, 0), (-6, 0), (0,-2), and 0
We can determine the y-intercepts by identifying the points where x is equal to zero.
Let's go through the points one by one:
1. (0,-6): This point does not have a y-intercept because the x-coordinate is not zero.
2. (-2, 0): This point also does not have a y-intercept because the x-coordinate is not zero.
3. (-6, 0): Again, this point does not have a y-intercept because the x-coordinate is not zero.
4. (0,-2): Finally, this point does have a y-intercept because the x-coordinate is zero. Therefore, the y-intercept is -2.
5. 0: This is not a point, but simply the value of zero. It does not have a y-intercept because it does not represent a point on the graph.
To summarize, the y-intercept of the continuous function is (-2). This means that the graph of the function intersects the y-axis at the point (0,-2).
PLEASE HELP!!!
The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the polynomial function C(h) = −0.09h2 + 3.5h + 8. What is the concentration of the antibiotic after 3 hours in parts per million to the nearest hundredths?
A) 17.69
B) 18.77
C) 38.69
D) 42.34
Ben has Type 180 word in can type 30 words per minute. Millie has Type 60 words and can type 50 word per minute. How many minutes will it take Millie to catch up with Ben?
The third grade class is going on a field trip by bus to the museum. The bus leaves the school at 9: 45 am. The bus ride takes 47 minutes. At what time does the bus arrive at museum
Answer:
at 10:32
Step-by-step explanation:
I hope this will help you
Subtract 1/4 w + 4 from 1/2 w +3
A: 1/4 w + 7
B: 1/4 w -1
C: -1/4 w +1
D: -1/4 w +7
if Anne's age is represented by the variable (a) then.... Epress Jenny's age in terms of (a) if Jenny is 3 years less than 1/2 of Anne's age.
Express Fraz's age in terms of (a) if Fraz is twice the sum of Anne's age and 7
Jenny's age in terms of Anne's age is j = (1/2)a - 3 and Fraz's age in terms of Anne's age is f = 2(a + 7).
Explanation:To express Jenny's age in terms of Anne's age (a), we can use the information given that Jenny is 3 years less than 1/2 of Anne's age. Therefore, Jenny's age (j) can be expressed as:
j = (1/2)a - 3
To express Fraz's age in terms of Anne's age (a), we can use the information given that Fraz is twice the sum of Anne's age and 7. Therefore, Fraz's age (f) can be expressed as:
f = 2(a + 7)
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Can anyone explain this to me??
Scientists determined that Antarctica’s average winter temperature was -34.44 The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature
Find the distance (-2,-6), (2,-2)
Mr. Hines was arranging desks into rows for his classroom . Mr. Hines has 20 desks in his class. Draw an array to show how Mr. Hines classroom would look if he put 5 desks in each row
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones then the last and the increase is the same number in each case. Robbie and Cameron's combined total number of scones is three sevenths of the total of Louis, Tom and Charlie. How many scones does each boy buy?
write 27% percent as a fraction in its simplist form
What is the area of this figure? Enter your answer in the box.
Answer:
35
Step-by-step explanation:
Fabric comes in rolls that are 60 inches wide. Draw a diagram of how you can cut the fabric from a roll that is 10 feet long. Tell me the dimensions.
To cut fabric from a roll that is 10 feet long and 60 inches wide, you can create strips that are 10 feet long and 60 inches wide or cut pieces that are 10 feet long and less than 60 inches wide.
Explanation:To cut fabric from a roll that is 10 feet long and 60 inches wide, you can create strips that are 10 feet long and 60 inches wide, or you can cut pieces that are 10 feet long and less than 60 inches wide.
For example, you can divide the 60-inch width into two 30-inch wide pieces.
Dimensions: Strips: 10 feet long x 60 inches wide Pieces: 10 feet long x 30 inches wide
algebra question
1/8m = 6 to find m
Which of the following describes a ratio of actual events to the number of trials in an experiment? Select all that apply. HELP ME!!
prediction
experimental probability
theoretical probability
relative frequency
trial
uniform probability model
Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches. What is a good estimate of the volume of this cone?
The good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches therefore,
The radius of the wooden cone r = 1.9 inches
The height of the wooden cone h = 15 inches
We know the volume of a cone is given by:
[tex]\rm V = \pi r^2 \frac{h}{3}[/tex]
Put the values of the r and h, we get:
[tex]\rm V = \pi( 1.9^2) \frac{15}{3}[/tex]
V = 3.61×5×π
V = 56.70 cubic inches
Thus, the good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.
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What is the solution of the system use a graph.
Y=2x+1
Y=-3x-1
Can anybody graph this and show me a picture ?
PLEASE HELP = simplify 3/4(-10+2/5)
Answer:-7.2
Step-by-step explanation: -10+2/5 = -9.6 than -9.6 x 3/4 = 7.2
look at the number below
75，74，72，69，65，...
describe the pattern
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Mrs. Darnell is going to visit her cousins in Mexico over her summer vacation. She will be gone for one month and fifteen days. She leaves on June 19th. When does she return?
A. July 19
B. July 20
C. August 3
D. August 4
Please help!
5xy-6x2+1/2*3y
what is the correct way to classify a triangle with angles that measure 52 degeers, 68 and 60 degrees?
hey does anyone know this
the volume of a cone is 27 pi cm cubed
and the radius is 3 cm
what is the height of the cone
What is the measure of angle x? m∠x
State whether the y-values are increasing ,decreasing,or neither as x increases for problem y=1.5x
Sand is stored in a shed that is 3 m long, 2 m wide, and 2 m tall. Which is the correct unit of measurement to use to figure out how much sand will fill the shed? A. m3 B. m C. m2