The distance in metres between the towns in real life is 1600000 meters
How to determine the distance in real life?The scale ratio is given as:
Scale = 1 cm : 200000 m
The map distance of 8cm implies that:
8 cm : Real = 1 cm: 200000 m
Express as fraction
Real/8 = 200000 m/1
Multiply both sides by 8
Real = 1600000 m
Hence, the distance in metres between the towns in real life is 1600000 meters
Read more about scale ratios at:
https://brainly.com/question/12416132
#SPJ1
All of the following are equivalent, except.
Answer: B.
Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.
3. Find f(5)+j(-2) if f(x)=12-3x and j(x)=x² + 4x - 1.
HELP ME PLEASEEEE
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
Read more about function expressions at:
https://brainly.com/question/13136492
#SPJ1
The dimensions of a right rectangular prism are 1.5 cm,0.5 cm and 2. 25 cm.
What is the volume of the prism?
BRAINLIEST if correct + small explanation
What figure is a dilation of Figure A by a factor of 12?
A quadrilateral labeled figure A. The sides are labeled 2 inches, 4 inches, 1 inch, and 5 inches, clockwise about the figure.
Note that the images are not necessarily drawn to scale.
A.A quadrilateral. The sides are labeled 1 inch, 3 inches, 0.5 inch, and 4 inches, clockwise about the figure.
B.A quadrilateral. The sides are labeled 4 inches, 8 inches, 2 inches, and 10 inches, clockwise about the figure.
C.A quadrilateral. The sides are labeled 3 inches, 5 inches, 2 inches, and 6 inches, clockwise about the figure.
D.A quadrilateral. The sides are labeled 1 inch, 2 inches, 0.5 inch, and 2.5 inches, clockwise about the figure.
The dilation factor for the question should be 1/2 as per options
So
dilated lengths are
2(1/2)=1in4/2=2in1/2=0.5in5/2=2.5inOption D
Answer:
D
Step-by-step explanation:
Figure A is dilated by a scale factor of 1/2.
Hence, new dimensions will be :
⇒ 1/2 × 2 = 1 inch
⇒ 1/2 × 4 = 2 inches
⇒ 1/2 × 1 = 0.5 inch
⇒ 1/2 × 5 = 2.5 inches
Option D has the right dimensions
David’s mom recorded the amount of time David spent on homework.
Which measure of central tendency should David’s mom use if she wanted to argue that David did not spend enough time on homework?
The measure of central tendency that David's mum can use to argue is the mean.
What is the Mean of a Data?The mean of a data is the average of the data points in the data distribution. The mean is a measure of central tendency.
If David really spent enough time on homework, the average of the time he uses will give David's mum the mean time spent by David, which she can use for her argument.
Thus, David's mum can use the mean as a measure of central tendency.
Learn more about the mean of a data on:
https://brainly.com/question/11015069
#SPJ1
Answer:
mode
Step-by-step explanation:
What is the value of the underline digit?
119.65
Amelie solves the following system of equations.
Which values of x and y satisfy this system of equations?
The values of x and y that satisfy this system of equations are 10 and 5 respectively
Simultaneous equationGiven the system of equations
x + y = 20
3x - 3y = 30
_____________________
x + y = 20
x - y = 10
Add the equations
2x = 20 + 10
2x = 30
x = 30/2
x = 15
Substitute
x -y = 10
15 - y = 10
y = 5
Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively
Learn more on simultaneous equation here: https://brainly.com/question/16863577
#SPJ1
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?
A. 0.75x = 0.8(x + 10)
B. 0.75(x + 10) + 0.8x = 101
C. 0.75x + 0.8x + 10 = 101
D. 0.75x + 0.8(x + 10) = 101
Jared attempted ____ shots.
Zach attempted ____ shots.
Answer: the other person is correct
A teacher has a large container of blue, red, and green beads. she reports to the students that the proportion of blue beads in the container is 0.30. the students feel the proportion of blue beads is lower than 0.30. a student randomly selects 60 beads and finds that 12 of the beads are blue. the p-value for the test of the hypotheses, h0:p=0.30 and ha:p<0.30, is 0.045. what is the correct interpretation of this value?
The interpretation of this value is that the null hypothesis is that the proportion of blue beads in the container is 0.30 and the alternative hypothesis is 0.045.
What is a null hypothesis?It should be noted that the null hypothesis simply means a statical theory that suggests that there's no relationship between the variables given in the data set.
From the information given, it was stated that the proportion of blue beads in the container is 0.30. Here, the interpretation of this value is that the null hypothesis is that the proportion of blue beads in the container is 0.30 and the alternative hypothesis is 0.045.
Learn more about hypothesis on:
brainly.com/question/11555274
#SPJ1
Can someone please answer this math?
The volume of the cylinder will be 621.72m³.
How to calculate the volume?Thw volume of a cylinder will be:
= πr²h
= 3.14 × 3² × 22
= 621.72 m³
The volume of the cone will be:
= 1/3πr²h
= 1/3 × 3.14 × 2² × 12
= 25.12m³
Learn more about volume on:
brainly.com/question/1972490
#SPJ1
Evaluate -6y - 5 for y = 1/2
Answer:
15
Step-by-step explanation:
-6y-5
Substitute 1/2 for y.
-6y-5
-6(1/2)-5
-3(-5)
15
the attachment below is the question
Answer: 2
Step-by-step explanation:
We need to find y when x=1, which is 2.
What is the name of the red dot located on the curve of the parabola below?
O A. Center
B. Focus
C. Vertex
D. Directrix
C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.
find the value of x in 4^2x / 4^x = 64
Answer:
sorry I don't know
Step-by-step explanation:
sorry
1.Mary has ( 20xy - 10x²) sweets. She wants to divide the sweets each friend will get in term s of x and y
a) if X=6 and Y=4, how many sweets:
i) Will she give to each friend?
Answer:
X will get 20 sweets and Y will get 30 sweets.
Step-by-step explanation:
Substitute for x and y in in the equation.
20(6)(4) - 10(6)(6)
480-360
=120
Mary has 120 sweets.
Then divide 120 by 6 and 4
120/6= 20 sweets and 120/4 =30 sweets
What is the probability you spin something larger than 10
The probability you spin something larger than 10 will be 1 / 2.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.The probability will be calculated as:-
Total numbers = 8
Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4
Probability = 4 / 8 = 1 / 2
Therefore the probability you spin something larger than 10 will be 1 / 2.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ4
Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
Sam opened a stationery store in his neighborhood. His annual profit grew by $5,000 per year in the first 2 years. Then for 2 years, his annual profit was constant at $10,000 each year. Then his annual profit grew by $10,000 per year for the next 3 years.
Which graph models the piecewise function for the given situation?
Please find attached the image of the graph that models the function.
What is a graph?A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis. On this graph, the number of years is on the y-axis and the profit is on the x-axis.
Profit in year 1 = $500 Profit in year 2 = $5000 + $5000 = $10,000Profit in year 3 and 4 = 10,000Profit in year 5 = 10,000 + 10,000 = $20,000Profit in year 6 = 20,000 + 10,000 = $30,000Profit in year 7 = 30,000 + 10,000 = $40,000To learn more about graphs, please check: https://brainly.com/question/21527145
#SPJ1
Answer: other dude is correct
Step-by-step explanation:
The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334
3
3
4
inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 514
5
1
4
inches apart on the map. The scale on the map is 12
1
2
inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box.
Answer:
282.7miles
Step-by-step explanation:
334+514=848inch
12inch=4miles
848inch=x
[tex]x = \frac{818 \times 4}{12} = 282.7[/tex]
Total distances in miles
334+514848inchesNow 12 in =4mi
3in=1mi
Total miles
848/3282.7mi[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Answer:
the answer to the questions is 140
Central angle
2(40)=80°So measure of arc BC is 80°
Use inscribed angle theorem
The measure of arc from A to B that doesn't pass through C is
180-mBC180-80100°Can someone please help me? I put the answer at 47.1 but it says it's wrong.
Answer:
47.14 cm
Step-by-step explanation:
Circumference :
π x diameterπ x 1515π15 x 22/7330/747.14 cm (approximately)In LMN, the measure of N=90°, ML = 17, LN = 8, and NM=15. what is the ratio that represents the secant M?
Answer:
To be clear, do u want the angle of M?
Answer:
secM = [tex]\frac{17}{15}[/tex]
Step-by-step explanation:
secM = [tex]\frac{1}{cosM}[/tex]
cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{15}{17}[/tex] , then
secM = [tex]\frac{1}{\frac{15}{17} }[/tex] = [tex]\frac{17}{15}[/tex]
Please answer !!!!!!!
The measure of all the angles is given below:
angle 1= 30
angle 2= 150
angle 3= 30
angle 4= 150
angle 5= 30
angle 6= 150
angle 7= 30
angle 8= 73.5
What is angle?
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
As,
angle 1= 30 (Vertically opposite angle)
angle 7= 30 (corresponding angle)
angle 4+30= 180 (linear pair)
angle 4= 150
angle 4= angle 2= 150 (Vertically opposite angle)
angle 2= angle 6= 150 (corresponding angle)
angle 1= angle 5= 30 (corresponding angle)
angle (2x+3)= angle 4 (corresponding angle)
2x+3= 150
x= 73.5
Lean more about angle here:
https://brainly.com/question/13954458
#SPJ1
Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece.
How long will each piece of rope be?
Enter your answers in the boxes.
Shorter piece:
ft
Longer piece:
ft
Answer:
Shorter = 4ft.
Longer = 10ft.
Step-by-step explanation:
Shorter = x
Longer = 3x - 2
Piece of rope = 18
(3x - 2) + x = 18
4x - 2 = 18
4x = 16
x = 4 (shorter piece)
Longer piece
3x - 2
3(4) - 2
12 - 2 = 10
Write the two equations that represent this information
Answer:
where is the information?
Step-by-step explanation:
awnser this pls im in a bad mood
Answer:
I think its 1/6 and if I'm wrong I'm very sorry but I think its 1/6
Step-by-step explanation:
Answer:
it's [tex]7* \frac{1}{6} =\frac{7}{6}[/tex]
Step-by-step explanation:
Yeah same, have a great day I guess i don't know I'm not in the mood
37, 42, 48, 51, 52, 53, 54, 54, 55
What are the roots of the equation 9x^2-6x+2=0 in simplest a+bi form?
Answer:
Step-by-step explanation:
20 POINTS + BRAINLY Complete the table.
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
Interval Frequency
50-54 2
55-59
60-64
65-69
70-74
The frequency of the data set that matches with the interval stated are:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
What is a Frequency?Frequency is the number of times a data point or a set of points within an interval appears often in a data set.
The corresponding frequency to each of the interval given for the data would be as follows:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
Learn more about the frequency of a data on:
https://brainly.com/question/15422753
#SPJ1