Answer:
(10+4/2, 6+9/2)
(7, 7.5)
The Midpoint is (7, 7.5)
Step-by-step explanation:
I just added the x values and divided them by 2 and then the same for the y values.
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(X1,X2) divided by two and (Y1,Y2) also divided by two.
so you get
10+4/2 and 6+9/2
Add it all up you get
14/2 and 15/2
divide it:
(7,7.5)
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50.
Answer:
No, she is not correct. Because this is a proportional relationship.
Step-by-step explanation:
Proportional relationships are relationships having equal ratios.
here, Mandy's conclusion is incorrect because the relationship is proportional, and it has a uniform ratio of 5.
column 1 column 2 column 2/column1
'x' 'y'
1 5 5
2 10 5
5 25 5
10 50 5
As we clearly see that ratio of column 2 and column 1 is same for every row, therefore we can conclude that the given relation in the relation is proportional.
Thus, the given relation is proportional.
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can someone please help meee
Answer:
-3/5
Step-by-step explanation:
put down the 5,0 and 0,3 then simply start at the 5,0 and count up how many boxes it takes to get to the three then count left how many boxes it takes to get to 0 so...3/5. then look at the line. its going down which means it is negative. so the slope is -3/5
Answer:
y is 3 and x is
Step-by-step explanation:
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form?
Answer:
Slope is 3/4
Step-by-step explanation:
Gradient means slope. So, to find the slope without using the formula, look at two points then count up until you're in line with the other point, then count right until you reach the other point. Remember it must be written as rise/run.
I hope this explanation makes sense!
The points I will use is (0,-2) and (4,1).
Slope is 3/4.
Hope this helps!
If not, I am sorry.
If the inequality contains < symbol, then graph the equation using a _______________ line.
Answer:
broken line
Step-by-step explanation:
for the graph of an inequality with < or > use a broken line
-----------------------------------
for the graph of an inequality with ≤ or ≥ use a solid line
give the center and radius of the circle defined by the following equation (x - 1)^2 + y^2 = 5
the general equation of a circle is given by (x-a)^2+(y-b)^2=r^2
where (a,b) are the coordinates of the center.
from the given equation then (1,0) will be the center of the circle. and for the radius of the cirlce equate r^2 with 5...r^2=5 therfore r=
[tex] \sqrt{5} [/tex]
.
When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population.
What is the significance of 160,000 in the function?
the maximum population of the city
the expected population in 5 years
the initial population at the time of the estimation
the amount of increase in the population in 5 years
The significance of 160,000 in the function is the initial population at the time of the estimation.
The correct option is (C)
What is data?A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.
Given:
As per the table attached below:
F(x) signify the total population when the time was x hour.
So, 160,000 in the function signifies that the population at starting i.e., initial point.
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TIMED!! pls
What are the zeros of the quadratic function f(x) = 2x^2 + 16x - 9?
35 points! Which of the following polynomials has an even degree and a positive leading coefficient?
Answer:
1
Even degree: the start and the end of the graph goes either both up or down (1 and 4)
positive leading coefficient: right side of the graph is going up (1 and 2)
Find the lengths of sides marked with variables (x, y, w, z). Show all work
Answer:
1) 19.07 m, 2) 80.10 ft, 3) 56.79 mStep-by-step explanation:
Use trigonometry to solve for unknowns.
1) Use sinesine = opposite leg / hypotenusesin 27° = x/42x = 42 sin 27°x = 19.07 m (rounded)2) Use tangenttangent = opposite leg / adjacent legtan 23° = 34/xx = 34 / tan 23°x = 80.10 ft3) Use cosinecosine = adjacent leg / hypotenusecos 48° = 38/xx = 38 / cos 48° x = 56.79 m (rounded)#1
sin27=x/42x=42sin27x=19.07m#2
tan23=34/xx=34/tan23x=80.1ft#3
cos48=38/xx=38/cos48x=56.79mA shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation
to estimate the number of packages that would need to be randomly selected to find a package that was not
delivered on time. The student assigns the digits to the outcomes.Beginning at line 1, and starting each new trial right after the previou
trial, carry out 5 trials of this simulation.
Based on the 5 trials, what is the average number of packages the
led to be selected in order to find a package
that was not delivered on time?
The average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.
What is simple random sampling?With simple random sampling, each component of the population has an equal chance of being selected for the sample.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A shipping company claims that 95% of packages are delivered on time.
From the table:
00- 04 is the package not delivered on time.
05-99 - package delivered on time.
The first simulation's third number, 31, 64, 04, is where you can locate an item that wasn't delivered on time.
The second simulation's second number, 34, 02, is the location of a late-delivered delivery.
The third simulation is equal to 96,00 - the second number, which is the location of a late package.
The second number where to find a shipment not delivered on time in the fourth simulation is 31,04
Where to find a box that wasn't delivered on time in the fifth simulation: 98, 01, second number
The average number = (3 + 2 + 2 + 2 + 2)/5
= 11/5
= 2.2
Thus, the average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.
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If a cubic foot of stone weighs 150 lbs and a cubic foot of iron weighs 480 lbs, what fraction of the second weight is the first weight. 50 pts.
Answer:
[tex] \frac{150}{480} = \frac{15}{48} = \frac{5}{16} [/tex]
The weight of a cubic foot of stone is 5/16 the weight of a cubic foot of iron.
Pls give me answer
Initially, a box contains three white and five red balls. Balls
are drawn at random from the box. Whenever a red ball is drawn, it is placed
back into the box together with one extra red ball. Whenever a white ball is
drawn, it is placed back into the box together with two extra white balls. What
is the probability that the first three balls are drawn out of the box alternated
in colour?
Using it's concept, it is found that the probability that the first three balls are drawn out of the box alternated in colour is of 0.1541 = 15.41%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering the situation described, the ways that alternate colored balls can be taken, and their probabilities, are given as follows:
R(5/8) - W(3/9) - R(5/11).W(3/8) - R(5/10) - W(5/11).Hence the probability is given by:
[tex]p = \frac{5}{11} \times \frac{3}{9} \times \frac{5}{11} + \frac{3}{8} \times \frac{5}{10} \times \frac{5}{11} = 0.0689 + 0.0852 = 0.1541[/tex]
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How do you use the additive inverse to evaluate an expression that uses subtraction ?
To use the additive inverse to evaluate an expression that uses subtraction, change the sign of the number to positive
What is additive inverse?Additive inverse is simply changing the sign of a number and then adding it to the original number to get an answer that is equal to 0.
The additive inverse of a number is another number
The additive inverse of number 3 is - 3
For an expression that uses subtraction, to use the additive inverse, change the sign of the number to positive
Thus, to use the additive inverse to evaluate an expression that uses subtraction, change the sign of the number to positive
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7. Holly plays pool on Sundays. She pays $6.50 for admission and $3.50 for
each round she plays. Which expression can be used to determine how
much she pays if she plays x rounds of pool?
Answer:
3.50x+6.50=y
Step-by-step explanation:
A TV's regular price is $349. It is on
clearance for 30% off, and a customer uses
a 15% off coupon after that. What is the
final cost of the TV before sales tax?
Answer:
rounded is $207.66
Step-by-step explanation:
you start by doing 349(0.30) which would be 104.7
349-104.7=244.3
next you do 244.3(.15)=36.645
244.3-36.645= $207.655
Decide whether each number is written in standard notation or scientific notation.
Number
Type of notation
3000
Select ...
Select ...
4.2 × 104
Select ...
Select ...
1.05 × 10–7
Select ...
Select ...
0.0013
Select ...
Select ...
6,500,000
Select ...
Select ...
6.2 × 1019
Select
The answers are as follows:
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
Concept: Standard notation is a way of writing a number so it is easier to read. It is often used for very large or very small numbers.
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
In the given questions,
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
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Please help! The formula for the volume of a cylinder is:
Answer:
A
Step-by-step explanation:
isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r
Answer:
r =sqrt(V/ ( pi h) )
Step-by-step explanation:
V = pi r^2 h
We want to solve for r
Divide each side by pi h
V/ ( pi h) = pi r^2 h/ ( pi h)
V/ ( pi h) = r^2
Now take the square root of each side
sqrt(V/ ( pi h) )= sqrt( r^2)
sqrt(V/ ( pi h) )=r
Use the numbers below to answer the following
question.
6^1, 3^2, 2^3, 1^7
Which shows the numbers ordered from least to
greatest?
Definition:
[tex]a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^4=a\cdot a\cdot a\cdot a\\\vdots\\a^n=\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]
also
[tex]a^1=a\\\\a^0=1[/tex]
[tex]6^1=6\\\\3^2=3\cdot3=9\\\\2^3=2\cdot2\cdot2=8\\\\1^7=1[/tex]
therefore
[tex]\huge\boxed{1^7 < 6^1 < 2^3 < 3^2}[/tex]A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has an area
of 135 square units.
Part A
•
Write an equation to model the above scenario. Use the model to find the length of the original rectangle?
Part B
What is the perimeter of the expanded rectangle?
Answer:
The perimeter is 48
Step-by-step explanation:
If the width is W
AT first , Length is 10 +w
According to the question,
[tex](w+8) (10+w+4) = 135\\(w+8) (w+14) = 135\\\\w^{2} + 14w + 8w + 112- 135 = 0\\\\ w^{2} + 22w - 23 = 0\\(w+23) (w-1) = 0\\\\w+ 23 = 0 w-1=0\\\\w= -13 or w = 1[/tex]
Expended width will be w +8 = 1+8 = 9
Length is 10+w+4 = 15
So the perimeter is
= i2 x (9+15)
= 2x 24
= 48
The Solution to the problem of the rectangle is given below
For Part A:
equation model: (14 + w) * (w +8) = 132Length = 15For Part B
Perimeter = 46Meaning of Perimeter
The perimeter of any shape can be defined as the total sum of the sides of the shape.
AnalysisFor Part A
equation model= (14 + w) * (w +8) = 135
14w + 112 + 8w + [tex]w^{2}[/tex] = 135
[tex]w^{2}[/tex] + 22w - 23 = 0
solving the quadratic equation
w = -23 or 1
Because we are dealing with a physical quantity we will make use of the value 1
lenght of original rectangle = 10 + 1 = 11
Part B
Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)
Perimeter = 48
In conclusion, The Solution to the problem of the rectangle is given above.
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what is the volume of a cone if the height is 18 and the radius is 4
Answer:
V = 302
Step-by-step explanation:
Here, we have Radius(r)=4and Height(h)=18(Given)
l^2=r^2+h^2
l^2=42+182
l^2=340
l=18
Volume= πr2h/3
= 3.14159⋅42⋅18/3
= 302
Answer:
301.59289
Step-by-step explanation:
radius(r) = 4
height (h) = 18
we know,
volume of cone =
[tex]\pi \: {r \:}^{2} \frac{h}{3} [/tex]
[tex] \frac{22}{7} \: \times {4}^{2} \: \frac{18}{3} [/tex]
=301.59289
HELPPPPP ITS URGENTTTTT
click on the photo
Answer:
x=67.4
Step-by-step explanation:
well sin30:1/2
So y is not 30 since 5/13 doesn’t equal 1/2
So it’s either the the third or fourth option
And x>y
So option 4 is correct
The function h(x) is a transformation of the square root parent function,
f(x)=√x. What function is h(x)?
-5
5
-5-
h(x)
f(x)
K
I
5
The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
What is Transformations?Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
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Question 6 (Yes/No Worth 1 points)
(02.01 LC)
Is the following relation a function?
I need this to be solved please and thank you
Answer:
30
Step-by-step explanation:
Area of a triangle = (base length × height)/2
Given base length = 5 and given height = 12
So area = (5×12)/2
==> multiply 12 and 5
Area = (60)/2
==> divide 60 by 2
Area = 30
Step-by-step explanation:
please mark me as brainlest
identify the slope and y-intercept of the function y=5x-10
Answer:
slope = 5 , y- intercept = - 10
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x - 10 ← is in slope- intercept form
with slope m = 5 and y- intercept c = - 10
The slope and y intercept of the function y = 5x - 10 is 5 and -10 respectively.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Equation of a line in slope intercept form is,
y = mx + b,
where m is the slope of the line and b is the y intercept,
y intercept is the y coordinate of the point where it touches the Y axis.
Given equation is y = 5x - 10.
Comparing with slope intercept form,
m = 5 and b = -10
Hence the slope of the line is 5 and y intercept is -10.
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Question 10 of 10
Which of the following are necessary when proving that the diagonals of a
rectangle are congruent? Check all that apply.
A. Corresponding parts of similar triangles are similar.
B. Corresponding parts of congruent triangles are congruent.
C. Opposite sides are congruent.
D. Opposite sides are perpendicular.
What needs to be corrected in this construction of a line parallel to line AB passing through C?
A and B endpoints of line segment is intersected at point D with a transversal. D as center, arc 1 is drawn above intersecting transversal at point E, and at point F on the segment. E as center, arc 2 is drawn intersecting the transversal at point C.
A.
The first arc should pass through C.
B.
The first arc should be centered at C.
C.
The second arc should be centered at C.
D.
The second arc should cross the first arc.
E.
The second arc should be centered at F.
The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.
Why should the second arc be centered at C?The second arc should be centered at C because as it crosses passing through Line C, it is seen that it was not touching or intersecting AB and so one can say that it is parallel to it.
Looking at the other lines, we will see that they are all touching AB and are not running parallel to it.
Hence, The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.
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The length of a rectangle plus its width is 25
cm. The area is 150 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.
factorise 3 squared+ 5x +12
factorise 3 squared+ 5x +12
(Giving 75 points, Please do not answer if you do not know. Wrong answers will result in me reporting them.)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.
OQ+QP= ?
Fill in what you know and solve for OQ
OQ= 11
Answer: Answers attached in an image.
Step-by-step explanation: Work is attached on the image.
Answer:
OQ = 11
Step-by-step explanation:
Segment Addition Postulate
If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC
Given:
OP = 17QP = 6Q is the point on the line segment OP, so:
⇒ OQ + QP = OP
Substitute the given values of OP and QP to find OQ:
⇒ OQ + 6 = 17
⇒ OQ + 6 - 6 = 17 - 6
⇒ OQ = 11