Answer: 25 cm
Step-by-step explanation:
What is the median of this data set?
22, 37, 49, 15, 12
Answer:
the answer is 22
Step-by-step explanation:
12,15,22,37,49
since 22 is in the middle its the median (make sure you put the #'s from least to greatest)
Answer:
22
Step-by-step explanation:
22, 37, 49, 15, 12
First put the data set from least to greatest.
12, 15, 22, 37, 49
The median is the middle number of the data. In this case, the median is 22.
Hope this helps!
Can someone help please?
Answer:
A
Step-by-step explanation:
From left to right of the graph, we can observe that the generally the points are going down. This means that the trend line drawn will have a negative slope.
In the slope-intercept form, which is the form the given equations are in, we have y= mx +c, where m is the slope and c is the y-intercept.
We are only interested in the slope in this case, since no actual values are given. Thus, let's focus on the coefficients of x to determine whether the slope is positive or negative.
Option A: Slope= -⅔ (negative)
Option B: Slope= 3 (positive)
Since we have a negative slope, option A would be the best answer.
The attached image shows 2 graphs. The graph in blue shows the shape of a graph with negative slope, while the graph in red has a positive slope.
Complete the equation describing how x and y are related.
X | Y
0 | -1
1 | -1.5
2 | -2
3 | -2.5
4 | -3
5 | -3.5
Y= [?]x + [?]
Someone help me please
Answer:30 degress
3 angles in a triangle equal 180-120=60 60÷2=30
Step-by-step explanation:
I’ve tried everything and yet don’t understand this
Snow reaches at a 15 inches after 16 hours. and 8 inches melt in next 6 hours.
According to the statement
we have a given that there was 1 inch snow on the ground before the snowstorm starts.
then snow fell at constant rate of 3 inches every 2 hours until the snow level reaches at 12 inch had fallen
It means after that there was 13 inch snow on the ground.
and in 1 hour only 1.5 inches snow increases
and if snow takes 2 hours to increase at 3 inches then
it takes 10 hours to reach at 12 inches.
So, snow falls for 10 hours to increase at 12 inches.
And then the snow falls at constant rate of 1 inch per hour for 2 hours.
It means now snow reaches at a 15 inches after 16 hours.
Then sun melt the snow at a 4 inches per 3 hours and sun came for 6 hours then
it means now the level of snow reduced and came at the 7 inches.
because sun reduced 8 inches snow in 6 hours.
So, this is the data collected by a person.
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if you buy a computer game for $54, you have a $5 mail-in rebate, and you pay 8% sales tax, how much does your game cost?
Answer:53.32
Step-by-step explanation:
$54 retail price
sales tax 8%
$54x8%= 4.32
sales tax is $4.32
$54+$4.32= $58.32
total with tax is $58.32
$58.32-$5= 53.32
I WILL GIVE BRAINLY A dairy farmer wants to mix a 60% protein supplement and a standard 20% protein ration to make 1400 pounds of a high-grade 40% protein ration. How many pounds of each should he use?
The number of pounds of 60% protein and 20% protein supplement used is 700 and 700 pounds respectively.
Simultaneous equationlet
Pounds of 60% protein used = xPounds of 20% protein used = yx + y = 1400
0.60x + 0.20y = 1400×0.40
0.60x + 0.20y = 560
From (1)
x + y = 1400
x = 1400 - y
Substitute into (2)
0.60x + 0.20y = 560
0.60(1400 - y) + 0.20y = 560
840 - 0.60y + 0.20y = 560
- 0.60y + 0.20y = 560 - 840
-0.40y = -280
y = -280/-0.40
y = 700 pounds
Recall,
x + y = 1400
x + 700 = 1400
x = 1400 - 700
x = 700 pounds
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A lab received and produce a sample of plutonium which has a half life of 138 days suppose you have an initial sample of 52 g which equation can be used to calculate the remaining amount of the sample “t” days after being processed by the lab
The remaining amount of the sample after 't' days would be 51. 74g
How to determine the amountWe have the formula for amount to be;
A = Ao × (1/2)^ t/t^1/2
Where
t1/2 = half -life = 138 days
t = 1
Ao = 52g
A = Amount after decay
Substitute into formula
A = 52 × (1/2) ^ 1/138
A = 52 ×
[tex] { \frac{1}{2} }^{0.00724} [/tex]
A = 52 × 0. 9950
A= 51. 74 g
Thus, the remaining amount of the sample after 't' days would be 51. 74g
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Identify the solutions to the quadratic equation 6x^2+x-1=0
Answer:
1/3 and -1/2
Step-by-step explanation:
You can use the factoring method to identify the solutions of x
6x^2+x-1
2 numbers have to multiply to 6 and subtract to 1 because x is the same as 1x
So, you get 3x and 2x
since you know that -1x1 is -1 you will get
(3x-1)(2x+1)=0
Now, since (3x-1) and (2x+1) multiply to get 0, if either (3x-1) or (2x+1) is 0 the statement will be valid
3(1/3)-1=0
2(-1/2)+1=0
So, your answers are 1/3 and -1/2
If the hypotenuse has a length 7√2, then both legs have a length
Of what
Answer:
7
Step-by-step explanation:
this is probably a 45-45-90 triangle if its both legs
I dont know how to do this
Answer:
Option C = 78,125Step-by-step explanation:
First prime factorize 135,
135 = 5×3×3×3
Now prime factorize 128,
128=2×2×2×2×2×2×2 = 2^7
the highest prime factor of 135 is 5,
Let 5 be x
the highest power of the lowest prime factor of 128 which is the power 2 is 7
Let 7 be y
According to the question x^y = 5^7
= 78,125Need some help with trigonometry
Answer:
e) B. 45°
f) A. 30°
Step-by-step explanation:
e) sec theta = 1/ cos theta
the value of cos theta is 1/√2 at 45°
so , sec 45° = √2 and theta = 45°
f) cot theta = 1/ tan theta
the value of tan theta is 1/ √3 at 30°
so, cot 30° = √3 , theta = 30°
The answers are :
e) B
f) A
For part (e), convert into terms of cosθ.
secθ = 1/cosθcosθ = 1/√2θ = cos⁻¹ (1/√2)θ = 45°For part (f), convert into terms of tanθ.
cotθ = 1/tanθcotθ = 1/√3θ = cot⁻¹ (1/√3)θ = 30°Theresa needs twice as many feet of wood as samuel how many pieces of wood does teresa need?
Using addition or multiplication, Teresa has twice a number of wood as Samuel.
According to the question,
Teresa needs twice as many feet of wood as Samuel in order to find the number of pieces of wood Teresa need only if we add the number Teresa has by itself or multiply it by 2.
Hence, we need to do only multiply it by 2
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Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the
resulting statements true.
(a) B __ A (b)C __ A (c) B __ C (d) ∅ __ B (e) C __C
Answer:
Answer
Step-by-step explanation:
(a) B ⊄ A (b) C ⊂ A (c) B ⊄ C (d) ∅ ⊂ B (empty set is an element of any set)
(e) C ⊂ C (reflexitivity).
Draw the graph of the linear equation 2x – y + 1 = 0. From the graph find the values of h and k if the graph passes through the point (h,4) and (1/2 , k)
Answer + Step-by-step explanation:
2x – y + 1 = 0
We know that the graph of a linear equation is a line.
So ,in order to draw it we need to find two points A and B of the line
Afterward, we join A and B to get the graph.
2x – y + 1 = 0
If x = 0 → y = 1 ⇒ A(0 , 1) lie on the line AB (the graph)
If x = 1 → y = 3 ⇒ B(1 , 3) lie on the line AB
Now ,all we have to do is plotting A and B
on the coordinates plane ,then connecting then with a line.
According to the graph (check the attached image) :
If (h,4) ∈ line AB ⇒ h = 3/2
If (1/2 , k) ∈ line AB ⇒ k = 2
The table shows your height on a water slide at various time intervals
1. Find the average rate of change in a riders height between 1 and 3 seconds
2. Find the average rate of change in a riders height between 0 and 5 seconds
3. What is another word for rate of change in this situation?
Time(s) Height (ft)
0 120
1 90
2 60
3 30
4 0
5 0
1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s
2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s
3. Another word for rate of change in this situation is speed
What is speed?Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:
Speed = distance / time
With the above idea, we can obtain the answers to the question given above.
1. How to determine the rate of change between 1 and 3 secondsChange in height = 30 - 90 = -60 ftChange in time = 3 - 1 = 2 sRate of change =?Rate = Change in height / change in time
Rate = -60 / 2
Rate = -30 ft/s
2. How to determine the rate of change between 0 and 5 secondsChange in height = 0 - 120 = -120 ftChange in time = 5 - 0 = 5 sRate of change =?Rate = Change in height / change in time
Rate = -120 / 5
Rate = -24 ft/s
3. what is another word for rate of change?From the definition of speed given above, we can say that: another word for rate of change is speed
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Determine the coordinates of the point p on the line y=-x+6 such that p is equidistant from the points a(10,-10) and o(0,0) (that is, so that pa=po). express your answer as an ordered pair (a,b).
Solution,
Let P = ( x, -x + 6) = (x, 6 - x)
We want to solve this
( Distance from P to (0,0) )^2 = (Distance from P to (10, -10) )^2
x^2 + (6 - x)^2 = [ ( x - 10)^2 + ( 6 - x + 10)^2
x^2 + x^2 - 12x + 36 = x^2 - 20x + 100 + x^2 - 32x + 256 simplify
-12x + 36 = -52x + 356
40x = 320
x = 8
And y = -(8) + 6 = -2
So...P = ( 8, -2)
In mathematics, an equation is an equation that expresses two equations by joining them with an equal sign =. Equations in other languages and the word their relatives can have slightly different meanings; for example, in French, an equation is defined as containing one or more variables, but in English, it is an equal sign.
A well-formed expression consisting of two combined equations is an equation, and a variable makes the equation true. The variable for which the equation must be solved is also called the unknown, and the value of the unknown that satisfies the equation is called the solution of the equation. There are two types of equations: identities and constraint equations. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables
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Find the smallest number by which the following numbers should be multiplied to obtain a perfect cube. (a) 3087 (b) 2560
Check each number's prime factorization, then add any factors necessary to make each one a cube.
(a) 3
[tex]3087 = 3^2 \times 7^3 \implies \boxed{3}\times3087 = (3\times7)^3 \implies 9261=21^3[/tex]
(b) 25
[tex]2560 = 2^9\times5^1 \implies \boxed{5^2}\times2560 = \left(2^3\times5\right)^3 \implies 64000 = 40^3[/tex]
Writing equivalent ratios and ordered pairs Gallons 1 2 3 Quarts 4 8 12 which ordered pairs represents the equivalent ratios in the table? (1,2) (1,4) (2,8) (4,1) (3,12)
Step-by-step explanation:
gallons to quarts have the ratio 1:4.
there are 4 quarts in a gallon (hence the name of quarts by the way).
so, the question is really, which order pair have also a 1:4 ratio between x and y ?
(1, 4)
(2, 8)
(3, 12)
the (4, 1) would represent a 4:1 ratio.
and as you know, 4/1 is different to 1/4.
a ratio is nothing else than a fraction. just the "whole" is different.
the pure fraction 1/4 means that the whole is 4/4, has 4 times 1/4.
a ratio 1:4 (you can also write as 1/4) means that the whole has 5 (1+4) parts.
other than that they are compared and calculated with the same way as normal fractions.
Find the difference. write your answer as a fraction in simplest form. 5/8-(-7/8)
Answer:
1 1/2
Step-by-step explanation:
When you are subtracting a negative number is is the same as adding a positive. So the problem is really 5/8 + 7/8, since the denominators are the same, just add the numerators to get 12/8 divide the top and bottom by 4 to get 3/2 or 1 1/2, if I divide 3 by 2.
Check all that apply
X^2+7x-8
Answer:
x = -8, 1.
Step-by-step explanation:
x^2 + 7x - 8 = 0
(x + 8)(x - 1) = 0
x = -8, 1.
Answer:
-8 and 1
Step-by-step explanation:
Quadratic expression.
A quadratic expression is an expression with 2 as the highest power of the unknown.
Solving the question:
[tex]x {}^{2} + 7x - 8 \\ x {}^{2} + 8x - x - 8 \\ x(x + 8) - 1(x + 8) \\ (x - 1)(x + 8) \\ x = 1 \: or \: x = - 8[/tex]
Which sequence of transformations produces A’B’C’ from ABC?
On a coordinate plane, triangle A B C has points (3, negative 1), (4, negative 4), (1, negative 2). Triangle A prime B prime C prime has points (negative 2, 3), (1, 4), (negative 1, 1).
a translation up 3 and then a 90º counterclockwise rotation about the origin
a 90º counterclockwise rotation about the origin and then a translation up 3
a reflection over the x-axis and then a translation left 2 and down 1
a translation left 5 and down 2 and then a reflection over the x-axis
Answer:
The first chose is correct
Step-by-step explanation:
You can see in the first picture that graphed both of the triangles and then I followed the directions. It is very, very helpful if you have tracing paper. You can trace the original and then translate it three up. For the 90 rotation, put a small + on the origin of your tracing paper, then move the tracing paper one one turn on the plus sign. That would be 90 degrees.
What is piaget's term for cognitive development between the ages of about 2 and 6?
Please help thank you
no links
1) in 1992, the average was credit card debt for an
american family was $3275. in 2006, the
average credit card debt for a family was $8900.
find the average rate of change of credit card
debt with respect to time.
a) 390.80
yr
b) 401.79
yr
c) 412.68
yr
d) 423.575
yr
e) 434.46
yr
The average rate of change of credit card is $ 401.79 /year.
What is Average Rate?A single rate that is a weighted average of the different rates that are applicable to property in various locations.An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).Solution
The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625
The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14
average rate of change of credit card debt with respect to time = [tex]\frac{difference of credit card debt}{difference of years}[/tex]
average rate = [tex]\frac{5625}{14}[/tex] = $ 401.79 / year
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A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress.
A weather balloon is 529 meters above the ground. Weather stations A and B are on the ground to form a triangle. A horizontal line is drawn at the top of the triangle to form angle v on the left and angle w on the right. The angle formed with A is x and the angle formed with B is y. A vertical line is drawn from the weather balloon to the ground to form a right angle and split the distance between A and B into 2 parts. The distance from A to the vertical line is 229 meters, and the distance between the vertical line and point B is 347 meters.
Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply.
x > y
v > x
w = y
y < v
v = w
x < w
A, C, D are correct. In this question the options that are correct are
x > yw = y y < vHow to solve for the correct statements in the questionWe have first with legs height to be =529 m and 229 m;
second with legs height =529 m and 347 m.
Then tan x = 529/229
tan y = 529/347
We can see that tanx > tany
Hence x> y
We have alternate angles in the question. This makes x=v, y=w
For D
x > y while x = v
This tells us that v>y
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Answer:
acd
Step-by-step explanation:
BRAINLIEST TO PERSON WHO HELPS
Mrs. Lindy is purchasing notebooks for her students. She spends $52 on n notebooks. Each notebook costs $3.25
Select the equation that matches this situation.
Answer:
B. 52= 3.25n
Step-by-step explanation:
Unit price multiplied by quantity equals total. So, each notebook cost $3.25 and she buys 'n' notebooks.
She totally spends $52.
In conclusion, 3.25 (unit price × n [quantity]) = 52.
And that is.. 52 = 3.25n.
<3
Answer:
B
Step-by-step explanation:
Let's think about what does the given info mean.
Because of n notebooks, she spent $52
One notebook is $3.25.
So 3.25n = 52
Take it this way if you don't understand
Let's say I spent 4$ on two (2) pens
What's the value of one pen?
We want to find the value of one pen and then multiply it by 2, to get 4$
So we normally would do 4/2
However, to set up an equation, we would create
v (value of one pen) x 2 (pens) = 4$ (cost)
v = 4$/2 = 2$
Shawnice Smith
Agrade
Addition Word Problems
Directions: Solve the following addition word problems.
MATH
1. 100 students participated in a sports card show in the school gym. Brad brought his
entire collection of 2,000 cards to show his friends. He had 700 football cards and 400
basketball cards. If the rest of his cards were baseball cards, how many baseball cards
did he bring with him?
What number is the height changing by each minute
The height is changing by 0.5 each minute
How to determine the number?The question implies that we calculate the slope of the table
From the table of values, we have the following points
(0, 150) and (1, 150.5)
The slope is then calculated as:
m = (y2 - y1)/(x2 -x1)
This gives
m = (150.5 - 150)/(1 - 0)
Evaluate
m = 0.5
Hence, the height is changing by 0.5 each minute
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Question 4 of 18
in a group of 60 students, the probability that at most 40 of them like to swim
is 67%. what is the probability that at least 41 of them like to swim?
a. 28%
b. 33%
c. 74%
d. 44%
submit
Answer b. The probability that at least 41 of them like to swim is 33%.
Solution:
The probability of an event is always 1 or 100%
The probability of at most 40 of them like to swim is 67% = 0.67
The probability of at most 40 not swimming = 1 - 0.67 = 0.33
Hence the probability of at least 41 people swimming is 33%.
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.Learn more about Probability brainly.com/question/24756209
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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ()=−2+10+9.5 h ( x ) = − x 2 + 10 x + 9.5 , where x is the number of feet away from the sprinkler head (along the ground) the spray is.
Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.
How to determine the maximum height?For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -10/2(-1)
Xmax = 5.
Thus, the maximum height on the vertical axis is given by:
h(x) = -x² + 10x + 9.5
h(5) = -(5)² + 10(5) + 9.5
h(5) = -25 + 50 + 9.5
h(5) = 34.5 feet.
Therefore, the spray reaches a maximum height of 84.5 feet at a horizontal distance of 5 feet away from the sprinkler head.
Also, the spray reaches all the way to the ground at about:
Maximum distance = √34.5 + 5
Maximum distance = 10.87 feet.
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Complete Question:
An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.
1. The irrigation system is positioned____ feet above the ground to start.
2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.
3. The spray reaches all the way to the ground at about_____ feet away