Answer:
6 is the the distance between the points
The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.
Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.
Let the distance between two points be C.
Tio determined the distance between two points [tex](x_1, y_1)[/tex] and ([tex]x_2,y_2[/tex]) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}
Putting the given coordinate in the above formula.
C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6
The required distance between points is 6 units.
Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
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The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
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A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.
Answer:
The answer is 19,75 people / km2
Step-by-step explanation:
Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city
The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.
The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is
79 / 4 = 19,75 people per kilometer square.
I hope this answer helps.
work out
3/17 x 17/21
write the answer in its lowest form
3 × 17 over 17 × 21 with the first as numerator and second one as denominator
We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7
The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
From the question,
We are to evaluate 3/17 x 17/21
First, we will write the expression properly
The expression can be written as
[tex]\frac{3}{17} \times \frac{17}{21}[/tex]
The expression can be evaluated as shown below
[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes
[tex]\frac{3 \times 17}{17 \times 21}[/tex]
Simplifying, we get
[tex]\frac{3}{21}[/tex]
Further simplification gives
[tex]\frac{1}{7}[/tex]
Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
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Write an equation to solve for the value of x. What is the value of x in the figure shown?
Answer:12
Step-by-step explanation:37=3x+1
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
please help! i do not understand
Answer:
90%
Step-by-step explanation:
Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
6 radians is the same as____
Round to the nearest hundredth of a degree.
Answer:
343.77
Step-by-step explanation:
1 radian is about 57.2958 degrees
so 57 times 6 is about 343.77
Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?
Answer:
3
Step-by-step explanation:
From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:
60*5%= 3
According to this, Hunter answered correctly 3 problems on the final exam.
Positive ÷ positive = ?
Answer:
positive
Step-by-step explanation:
Mean temperature: 78°
Standard deviation: 5°
Washington, DC
July 4: 1952 - 2011
Average Daily Temperature
Check all of the temperatures that are within one
standard deviation of the mean
o 72°
74°
799
84
Number of Years
C) ONO
DONE
Average Temperature
Answer:
74 and 79
Step-by-step explanation:
one standard deviation= 5°
range of one standard deviation: (78-5) to (78+5)
73° to 83°
The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
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Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3
Answer:
C) 104 units^3
Step-by-step explanation:
The formula for volume in a rectangular prism is V=lwh
There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.
smallest: V=(2)(2)(4) = 16
Medium: (2)(2)(6) = 24
Largest: (2)(2)(16) = 64
Add it together: 16+24+64= 104
Your answer is 104 units^3
:)
a line passes through (2,-6) and had a slope of 5/2. Write an equation in slope-intercept form for this line.
Answer:
work is shown and pictured
The family size bottle of shampoo holds 10 fluid ounces (fl. oz.) of sunscreen. The regular bottle holds 70% percent less. How many fluid ounces does the regular bottle of shampoo hold?
Answer: 3 fluid ounces
Step-by-step explanation:
The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.
To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces
= 7/10 × 10
= 7 fluid ounces.
Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:
= 10 ounces - 7 ounces
= 3 ounces.
The regular bottle of shampoo holds 3 fluid ounces.
PLZ HELP WILL MARK BRAINLIEST!
You put $200 in a savings account. The account earns 9% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $___
after 5 years.
b. What is the balance after 5 years?
The balance is $____
after 5 years.
Answer:
Interest earned is $90
balance is $290
Step-by-step explanation:
Horace takes a taxi uptown, and the fare is $12.78. He wants to give the driver a 10% tip.
If Horace gives the driver a $20 bill, how much change should he ask for?
Answer:
$5.94
Step-by-step explanation:
12.78 + 10% (1.28) = 14.06
20.00 - 14.06 = 5.94
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
5/24
1/6
1/4
5/12
Answer:
Step-by-step explanation:
jan
m
m
jun
july
5/12
Probability month starts with the letter J or M is 5/12
Probability based problem:Computation:
Number of total month = 12
Number of month starts with the letter J or M = 5
Probability = Number of desired output ÷ Number of total output
Probability month starts with the letter J or M is = 5 / 12
So, Option 'D' is the correct answer to the following question.
Find out more information about 'Probability'.
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Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
Find the largest number.
16.3, 15.7, 16.9, 15.8
The largest number is
.
if you have seen my questions before i have 4 questions i dont know soo might as well ask someone
Answer:
15.8 I think.........
Answer:
Mark me brain list pls pls pls pls pls pls
Step-by-step explanation:
16.9
Carlos bought 80 feet of wire for $17.60. He needs 30 more feet. If the unit price is the same, how much will he pay for the extra 30 feet of wire?
Answer:
Carlos bought 80 feet of wire for $17.60.
Then the price for 1 feet of wire is 17.6/80 = 0.22
=> 30 feet of wire would cost: 30 x 0.22 = 6.6
Hope this helps!
:)
Pretty easy question in physics but no one answers them in that subject so I put it here
Answer:
Wind and biofuel
Step-by-step explanation:
The other are all nonrenewable.
Hope this helps. Also will you friend me so I know if you need any more help I can help you.
For every bracelet she sells, she gives her business partner $4. If Latrece sells 18 bracelets for a total of $207, how much money will Latrece keep from each bracelet sold?
Answer:
Latrece gets to keep 135.
Step-by-step explanation:
so you would multiply 18 by 4 to get 72. Then you would subtract 207 by 72 to get 135
Answer:
7.50
Step-by-step explanation:
For 18 bracelets
She will give per partner
18*4 =72
She will keep all but 72 dollars
207 - 72 =135
She wants to know how much per bracelet so divide by the number of bracelets
135 / 18 =7.5
Find five rational numbers between 3/7 and 2/3
PLEASE HELP...... I NEED TO SUBMIT THIS NOW....
Answer:
First, you get both of them with same denominator:
3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.
The solution is that you can raise the denominator 2 times:
9/21 and 14/21 => 18/42 and 28/42
Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.
Which equation could be used to calculate the sum of the geometric series?
One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction
Answer:
A
Step-by-step explanation:
edge 2020
Answer:
its A
Step-by-step explanation:
The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean
weight of the class is 68kg, what is the ratio of females to males in the class?
Answer:
1:2
Step-by-step explanation:
Let's say there are x males and y females in the class.
The sum of all male weights will be 72x, and the sum of all female weights will be 60y.
If we get a class mean weight, we have:
(72x + 60y) / (x+y) = 68
72x + 60y = 68x + 68y
4x = 8y
y / x = 4/8 = 1/2
So the ratio of females to males is the class is 1:2
The radius of a circle is 2 centimeters. What is the circles circumference?
Answer: 4π cm or 12.56 cm
Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.
Since the radius is 2 centimeters, we can
plug in 2 centimeters for r in the formula.
So we have (2)(π)(2 cm) which is equal to 4π cm.
So the circumference of this circle is 4π cm.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (4)(3.14) which is equal to 12.56.
So the circumference of the circle is
approximately equal to 12.56 cm.
