Using the distance formula, [tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\[/tex], what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?
Using the points given, plug them into the equation.
[tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\d = \sqrt{((4) - (-2))^2 + ((4) - (2)^2 } \\d=\sqrt{(4+2)^2 + (4-2)^2}\\d=\sqrt{(6)^2 + (2)^2} \\d=\sqrt{36+4} \\d=\sqrt{40} \\[/tex]
Plug this into a calculator and you get 6.32455532
Since you only need it up to the tenth (0.1), round up 6.32
Five or more, let it soar. Four or less, let it rest.
Since two is lower than four, we drop it.
Therefore, the distance between points (-2, 2) and (4, 4) is 6.3
Hope this helps ^w^
turn -2x+4y=0 into slope-intercept form
Serena had 5 pounds of dog food to divide among 8 dogs
at the animal shelter.
If Serena gives each dog the same amount of food, how
many pounds of food will each dog get?
Answer:
.625 pounds per dog
Step-by-step explanation:
divide 5÷8=.625 or 5/8
Answer:
5/8= 5/8 or .625
Step-by-step explanation:
1/8= .125, so 5/8= 6.25
Please answer this correctly without making mistakes
Answer:
45 miles and 110 feet
Step-by-step explanation:
1. Convert into feet (1 miles = 5280 feet)
2431 x 5280 = 12835680
2. Add
12835680 + 660 = 12836340
3. Divide
12836340 divided by 54 = 237710
4. Divide
237710 divided by 5280 = 45 r 110
Answer:
45 miles 110 feet
Step-by-step explanation:
Find the slope (or grade) of the treadmill shown.
The grade of the treadmill is___%
Answer:
grade=15%
Step-by-step explanation:
For 2 ft on x-axis it has elevated 0.3 ft on y-axis
m=0.3/2=0.15 ft
grade=m x 100
grade=15%
A truck is shipping jugs of water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper weighs 16 pounds. The truck can carry 2000 pounds of cargo altogether. How can I graph this?
Answer:
40w + 16p ≤ 2000
Step-by-step explanation:
let 'w' = jugs of water
let 'p' = cases of paper
the area of shading will include negative values which you can ignore because those values do not apply to this problem
If we assume the average number of teeth lost in the 5-9 group is 7 teeth and the average number of teeth lost in the 10 group is 12 teeth, what is the best estimate of the average (mean) and variance number of teeth lost per year
Answer:
Average = 7.83
Variance = 20.8339
Step-by-step explanation:
Since the average number of teeth lost in years 5-9 was 7 teeth this means that the average was 7 each year. Therefore, to estimate the average of teeth lost per year including all the years then we need to add the average each year and divide by the number of years being included like so...
7 + 7 + 7 + 7 + 7 + 12 = 47 teeth
47 teeth / 6 days = 7.83
Now that we have the mean we can find the variance.
[tex](7-7.83)^{2}[/tex] = 0.6889
[tex](12 - 7.83)^{2}[/tex] = 17.3889
0.6889 + 0.6889 + 0.6889 + 0.6889 + 0.6889 + 17.3889 = 20.8339
Find rhe equation of the graphed line.
a. y = -x -6
b. y = x + 6
c. y = x - 6
d. y = -x + 6
Answer:
c. y = x - 6
Step-by-step explanation:
This question wants you to find the equation in slope-intercept form, each is y=mx+b, where m is the slope and b is the y-intercept. The first thing to do is find the y-intercept, to do this find the value of y when x equals zero. The way to do this is to look the value of y on the y-axis. In this case, the y-intercept is -6. Then, find the slope; since you are given the graph you can count out the slope. To do this find out how much the y and x values change. On this graph, y increases 1 when x increases 1, so the slope is 1/1 or one 1. So the equation is y=1x-6, which simplifies to y=x-6.
Kelly saved 4/5% of her allowance. What is this percent expressed as a fraction and as a
decimal?
Fraction:
Decimal:
Determine any data values that are missing from the table, assuming that the data represent a linear
function.
х
1
2
3
y
6
10
а.
6
15
C. 16
d. 14
b.
Given:
Consider the data table:
x y
1 6
2 10
3 __
Data represent a linear function.
To find:
The missing value.
Solution:
Let the missing value be p.
Slope Formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Data represent a linear function. So, slope is always remains same.
[tex]\dfrac{10-6}{2-1}=\dfrac{p-10}{3-2}[/tex]
[tex]\dfrac{4}{1}=\dfrac{p-10}{1}[/tex]
[tex]4=p-10[/tex]
Adding 10 on both sides, we get
[tex]4+10=p[/tex]
[tex]14=p[/tex]
Therefore, the missing value is 14 and option d is correct.
Answer:
c.) 14
Step-by-step explanation:
yes.
find the 7th term of arithmetic progression whose first term is 102 and common difference is -3
Answer: ummm i think it's -1
Step-by-step explanation:
The probability that it will rain tomorrow is 0.1
for Every 3 people at the concert singing along. there are 5 people not singing along. if there are 180 more people not singing along. how many total people are at the concert
Answer:
288
Step-by-step explanation:
First Divide 180/5=36. So then do 3 times 36=108. (108=People Singing, 180=People not singing). So add 108+180 to get 288.
The total number of people who attend the concert is 288.
Given that, for every 3 people at the concert singing along, there are 5 people not singing along.
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.
Ratio of the number of people singing along at the concert to the number of people not singing along
= 3:5
Now, 3+5=8
The number of more people not singing along = 180
Let the total number of people be x
So, 5/8 × x=180
⇒ x=(180×8)/5
⇒ x=36×8
⇒ x=288
Therefore, the total number of people who attend the concert is 288.
To learn more about the ratio visit:
brainly.com/question/13419413.
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Lydia has drawn quadrilateral ABCD with diagonal AC . According to her measurements, m∠DAC=m∠BCA and m∠DCA=m∠BAC . Without taking additional measurements, Lydia claims △ABC≅△CDA according to the ASA triangle congruence criteria. Explain why Lydia is correct.
Answer:
Lydia is correct because the ASA criterion for triangle congruence states that if two triangles have two pairs of congruent angles and the common side of the angles in one triangle is congruent to the corresponding side in the other triangle, then the triangles are congruent which would prove her statement correct.
Step-by-step explanation:
Bianca ordered t-shirts for her tennis club from a website. Each shirt is $12.50 and Bianca has a coupon for $25 off her total order. What is the cost of Bianca a order is she buys 15 t-shirts
Answer:
$162.5
Step-by-step explanation:
12.50x15= 187.5
187.5-25= 162.5
there are 96000 males and 80000 females in a town. find ratio of males to the total population
Answer:
6:5
Step-by-step explanation:
GIven data
Number of males population= 96000
Number of females population= 80000
Required
The ratio of male to the female population
We can start by expressing the ratio as a fraction, we have
=96000/80000
Let us further reduce
=96/80
=6/5
Hence the ratio is 6:5
Mathematics worksheet
Answer:
Image attached since I can't type it out
(Btw forgive me for my horrible handwriting D: )
Reasoning:
#4 is a segment which is why it's written like that in the image.
#5 is an angle which is why there is the angle symbol before the PQR
#6 is a line which is why there is a line on top of BY
#7 is an angle which is why there is an angle symbol before LMN
Hope this helped! <3
Answer:
man i did this in like 4th grade. just learn it so it helps you in the future.
Step-by-step explanation:
2) A carpenter has a sheet of plywood that is 6.85 feet long. A 3.4-foot
piece is cut from one side and 2.5-foot piece is cut from the other side.
How many feet of plywood is left over?
Answer:
0.95? I hope it's correct
Dan invests £11000 into his bank account.
He receives 7.5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
£13,475
Step-by-step explanation:
A = P(1 + rt)
P = £11000
r = 0.075 (percent in decimal form)
t = 3 years
A = £11000(1 + (0.075)(3))
A = £11000(1 + (.225))
A = £11000(1.225)
A = £13,475
What is the solution set?
it takes 10.4 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 9 students and observed that they had a mean of 10.7 hours with a variance of 1.44. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
Test statistic (t) = 0.625
Step-by-step explanation:
Step(i):-
mean of the Population(μ) = 10.4 hours
Sample mean (x⁻) = 10.7 hours
Standard deviation of the sample( S) = 1.44
The level of significance (α= 0.1
Sample size 'n' = 9
Degrees of freedom = n-1 = 9-1 =8
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{10.7 -10.4}{\frac{1.44}{\sqrt{9} } } =0.625[/tex]
Anne has 5 pints of milk and is planning to make 6 cakes to sell in fundraising. Each cake will require 112 cups of milk. Does she have enough milk to make the 6 cakes? If so, how many cups of milk will be left, and if not, how many extra cups of milk would she need?
Yes she has enough milk; She will have 1 extra cup of milk.
No she does not have enough milk; She will need 1 more cup of milk.
Yes she has enough milk; She will have 112 extra cups of milk.
No she does not have enough milk; She will need 412 extra cups of milk.
Answer:
Option (1)
Step-by-step explanation:
Each cake requires cups of milk = [tex]1\frac{1}{2}[/tex] cups ≈ 1.5 cups
6 cakes will require milk = 6 × 1.5
= 9 cups
Anne has milk = 5 pints
∵ 1 pint = 2 cups
∴ 5 pints = 10 cups
Therefore, Anne has milk = 10 cups
Extra amount of milk Anne has = 10 - 9 = 1 cup
Hence, Answer is yes, she has enough milk. She will have 1 extra cup of milk.
Option 1 will be the answer.
Which of these numbers of simulations of an event would be most likely to
produce results that are closest to those predicted by probability theory?
A. 5
B. 15
C. 10
D. 20
What is the value of the expression when x=3?
4x - 4x + x*
Answer:
(4×3)-(4×3)+(4×4×4)
12-12+64
64
Answer: 3
Step-by-step explanation:
4(3) - 4(3) + 3
\/ \/
12 - 12 + 3
0 + 3 = 3
The angle between the generator and the central axis of a double-napped cone is 40°. A plane intersects the central axis at an angle between 40° and 90°. Which conic section is formed?
Answer:
Ellipse
Step-by-step explanation:
From the given information:
Suppose the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.
Then the conic section formed is an Ellipse.
The Conic Section that is formed from the intersection of the central axis at an angle between 40° and 90° will be An Ellipse.
How to transform a Plane?Let us consider that the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.
Thus, we can say that when the plane intersects the double-napped cone in such a manner that the angle between the vertex and the angle is greater than the vertex angle.
Then the resulting conic section formed is an Ellipse.
Read more about Plane Transformation;
brainly.com/question/4289712
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What property involves using opposites?
Group of answer choices
Identity Property
Distributive Property
Inverse Property
Commutative Property
Answer:
Inverse property
Step-by-step explanation:
please help me i really need help please
Answer:
(2,4)
Step-by-step explanation:
What is 5 1/4 divided by 7?
Answer:
3/4 or 0.75
Step-by-step explanation:
5 1/4= 21/4
21/4 divided by 7= 21/4 times 1/7= 21/28
21/28= 3/4
On a windy morning, a hot air balloon starts rising and flying away from the top of a
hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the
hill, can be modeled by the function: h(x) = -16x2 + 64x + 80.
What is the maximum height, in feet, that the balloon will reach?
Answer:
the death star 12^344444444
Step-by-step explanation:
Answer:
800?
Step-by-step explanation:
waka waka e e
What Is the area of the trlangle? Enter the answer in the box.
square units
Answer: right
Step-by-step explanation:
Select all of the options that are a subcategory of rhombus.
1) rectangle
2) trapezoid
3) kite
4) square
Answer:
The correct answers are 1 and 4. Rectangle and square.
Step-by-step explanation:
A rhombus is a four-sided geometric figure, which has the main characteristic that these four sides are equal to each other. They generally have a diamond shape, with four vertices pointing towards the four cardinal points.
The square, for its part, is a special type of rhombus, where not only its four sides are equal but also its angles, since they are four right angles.
