Answer:
√ 65
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Exact Form:
√ 65
Decimal Form:
8.06225774 …
You spin a spinner and pick a card. How many outcomes are possible
Answer:
20
Step-by-step explanation:
5 outcomes from spinner, 4 from cards.
5x4=20
The solution is, the total number of possible outcomes 30.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
Explanation:
Given:
To find:
The number of possible outcomes
The first event(flipping a coin) has 2 possible outcomes = Head or Tail
The second event(picking a card) has 5 possible outcomes = P, Q, R, S, T
The third event (spinning the spinner) has 3 possible outcomes = 1, 2, 3
So the total number of possible outcomes = 2 * 5 * 3 = 30
Hence, The solution is, the total number of possible outcomes 30.
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samantha recieved $500 as a graduation present and decided to invest it in an account that is compounded continuously. how much will be in the account at the end of 5 years if the interest rate is 3%
Answer:
$2,226.20
Step-by-step explanation:
\(a_{5}\) = 500e^5(0.03)
Evaluate the following expression. "5 less than 15"
A. -10
B. 8
C. 20
D. 10
Answer: 10
Step-by-step explanation: 5 less than 15 is 10 because 15 - 5 is 10. If it was 15 less from 5, only then it would be -10.
Answer:
5 less than 15 is Option D, 10. This is because using mathematical symbols, it says 15-5 which equals to 10.
need help with 1-4 i don't really understand them and if you can give me work as well that would be great thank you
Answer:
Mm pues la verdad si quisiera responderte pero no le entiendo a eso desde cuarto así que bye
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the object will fall in 6 seconds?
The total distance the object will fall in 6 seconds is 176 feet.
How to calculate the distance?From the information, the distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third.
In this case, the arithmetic sequence will be represented by:
= a + (n - 1)d.
where a = first term = 16
n = number of terms = 6
d = common difference = 48 - 16 = 32
The 6th term will be:
= a + (n - 1)d.
= 16 + (6 - 1)32
= 16 + (5 × 32)
= 16 + 160
= 176
The distance is 176 feet.
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An architect created a scale model of a building that was to be built. Using a scale factor how tall will the actual building be
If the scale model is 7 ft tall and 3 ft wide and if the actual building is 45 ft wide, the actual building is 105 ft tall. So , correct option is C.
To find the height of the actual building using the scale factor, we need to use the ratio of the corresponding measurements in the scale model and the actual building.
The scale model is 7 ft tall and 3 ft wide, so the ratio of height to width in the scale model is:
7/3
We can use this ratio to find the corresponding height of the actual building, given its width.
Let x be the height of the actual building. Then, using the scale factor, we have:
7/3 = x/45
Cross-multiplying, we get:
3x = 7 × 45
Simplifying, we get:
3x = 315
Dividing by 3, we get:
x = 105
Therefore, the height of the actual building using the scale factor is 105 feet. Correct option is C.
In summary, we used the ratio of corresponding measurements in the scale model and actual building to set up and solve an equation to find the height of the actual building.
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Complete question is:
An architect created a scale model of a building that was to be built. If the scale model is 7 ft tall and 3 ft wide. And if the actual building is 45 ft wide.
Using a scale factor, how tall will the actual building be?
a) 15 ft
b) 60 ft
c) 105 ft
d) 135 ft
Tasha plants seeds in clay pots. She has 40 seeds to plant. She plants 6 seeds in each pot. How many seeds does Tasha have left over?
she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four
Step-by-step explanation:
Answer:4
Step-by-step explanation:6x6=36+4=40
What scale is being used if an image of a book on a website is 1.5 inches wide and in real life the book is 9 inches wide?
Answer:
6
Step-by-step explanation:
Divide 9 by 1.5 to find the scale factor:
9/1.5
= 6
So, the scale factor from the website to real life is 6
Given a focal length of a mirror and an object distance, you determine that s' < 0. from this you can conclude that:_________
The image seen in the compact mirror is not of the same size as seen in the plane mirror. This compact mirror is concave on one side and convex on the other side.
The size of the image as compared to the object is related to the magnification. The size of an object’s image is larger (or smaller) than the object itself by its magnification, The level of magnification is proportional to the ratio of and An image that appears to be double the size of the actual object would have magnification
The radius of curvature of a mirror is twice its focal length.
All distances measured to the right of the origin (along the positive x-axis) are taken as positive while those measured to the left of the origin (along the negative x-axis) are taken as negative.
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Find the value of x in each case:
Answer:
x = 36
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.
i. Determination of y
2x + y = 180 (angle on a straight line)
Rearrange
y = 180 – 2x
ii. Determination of z.
z + 4x = 180 (angle on a straight line)
Rearrange
z = 180 – 4x
iii. Determination of x
x + y + z = 180 (sum of angles in a triangle)
But:
y = 180 – 2x
z = 180 – 4x
Therefore,
x + y + z = 180
x + 180 – 2x + 180 – 4x = 180
Collect like terms
x – 2x – 4x = 180 – 180 –180
– 5x = – 180
Divide both side by – 5
x = – 180 / – 5
x = 36
Therefore, the value of x is 36.
Identify each special polar graph and write its equation. T/2 (a) 192 This graph is a circle , with equation | 2 sin(e) 1 2 3 4 10 5 6 7 8 This graph is a rose curver , with equation 8 sin 3(0) 0 N 2 । 3 । 4 5 6 । 7 8 This graph is a rose curve , with equation 9 cos 2(0) 1 2 3 4 5 This graph is a lemniscate - , with equation 36 cos 2 (O) |
The special polar graph and equation are A. Circle - r = 1, B. Rose curve - r = 2sin(3θ), C. Rose curve - r = 3cos(2θ), and D. Lemniscate - \(r^2\) = 36cos(2θ).
The special polar graphs mentioned can be identified and their equations can be determined as follows:
(a) The graph is a circle. The equation of a circle in polar coordinates is given by r = a, where 'a' represents the radius of the circle. In this case, the equation is r = 1.
(b) The graph is a rose curve. The equation of a rose curve with 'n' petals is given by r = a * sin(nθ), where 'a' represents the amplitude. In this case, the equation is r = 2sin(3θ).
(c) The graph is a rose curve. Similar to the previous case, this graph is also a rose curve. The equation is r = 3cos(2θ).
(d) The graph is a lemniscate. The equation of a lemniscate is given by \(r^2 = a^2\) * cos(2θ), where 'a' represents the scale factor. In this case, the equation is \(r^2\) = 36cos(2θ).
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Easy Problem just need to make sure I got it right
Answer:
a
Step-by-step explanation:
We first require the fraction of English to Total
Total = 84 + 38 + 18 + 47 + 69 = 256 , then
\(\frac{69}{256}\) × 100% ≈ 27% ( nearest whole number )
How many kilometres is 6.5cm
Answer:
0.000065 km
Step-by-step explanation:
To get from cm to km you need to divide 6.5 by 0.000001 which equals 0.000065km
5. Find the area of the composite figure *
Answer:
187.5 ft²
Step-by-step explanation:
15 x 15 = 225
1/2(5 x 15) = 37.5
225 - 37.5 = 187.5
Answer:
the area is 187.5
Step-by-step explanation:
First we must split this figure into two, now we have a triangle on top of a rectangle (we know this is a rectangle because the length is longer than the width)
to find the area of a rectangle we must use the equation l*w=A so
15*10=150
Now that we have the area of the rectangle we must find the area of the triangle
We can see one side is longer, this shows us that the triangle is 5 units tall and 15 units long
the formula to find the area of a right triangle is ab/2=A
5*15/2=A
75/2=A
37.5=A
now we have both areas we add them together
37.5+150=187.5
187.5 is your answer
HELP ASAP ILL GIVE BRAINIEST!
What is the median of the data set represented by the dot plot?
Answer:
the median is 36
Step-by-step explanation:
31, 34 , 34 , 35 37, 38 ,38 39
1. 2. 3. 4. 5. 6. 7. 8
(i put the numbers below because i like umm doing this weird technique where i count it)
since theres no median there then you have to add 35 and 37 then divide by 2
Suppose Zoe worked overtime at her job during a recent pay period, which is considered beyond 40 hours. Let the function P(t)=36t+960 represent the gross pay in dollars for Zoe as a function of the number of overtime hours worked, t. What do the slope and y-intercept of P(t) represent in this situation? Select the two correct answers.
The slope represents Zoe earning $36 for each hour worked in the first 40 hours of the pay period.
The y-intercept represents Zoe has a gross pay of $36 when she works 0 hours for the pay period.
The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
The slope represents Zoe earning $36 for each hour of overtime.
The y-intercept represents Zoe has $960 of gross pay when she works a total of exactly 40 hours for the pay period.
Answer: The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
The slope represents Zoe earning $36 for each hour of overtime.
Step-by-step explanation:
Given: The function P(t)=36t+960 represent the gross pay in dollars for Zoe as a function of the number of overtime hours worked, t.
For y-intercept , put t= 0 , we get
P(0)=0+960=960
As per situation, The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
Slope is the scaler multiple of independent variablein linear equation[like m in y=mx+c] which is t here .
So, slope = 36
And The slope represents Zoe earning $36 for each hour of overtime.
Answer:
The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
The slope represents Zoe earning $36 for each hour of overtime.
Step-by-step explanation:
did i do this right?
Answer:
yes
Step-by-step explanation:
Use algebraic of equations to predict the solution type to the system of equations. Include all of your work for full credit. \(f(x) = \left\{ x+y=-4 y=2x-1\right.\)
The solution to the given simultaneous equations are;
x = 5/3 and y = 7/3
How to solve simultaneous equations?We are given the two simultaneous equations as;
x + y = 4
y = 2x -1
Rearranging the second equation to have all the variables on one side gives; 2x - y = 1
Thus, we have the equations;
x + y = 4 ------(1)
2x - y = 1 -----(2)
Add eq 1 to eq 2 to get;
3x = 5
divide both sides by 3 using division property of equality to get;
x = 5/3
Put 5/3 for x in eq 1 to get;
⁵/₃ + y = 4
y = 4 - ⁵/₃
y = ⁷/₃
Thus, those are the solutions to the simultaneous equations.
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HELP ASAP PLS 20 POINTS WILL GIVE BRAINLIEST
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the equation of
y=x3
with the given transformations?
vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down
Answer:
The parent function is y = x³.
After a vertical stretch by a factor of 3, obtain
y = 3x³
After a horizontal shift 4 unit to the right, obtain
y = 3(x - 4)³
After a vertical shift 3 units down, obtain
y = 3(x - 4)³ - 3
Answer: y = 3(x - 4)³ - 3
y = 3(x - 4)³ - 3 is the equation of y=x³ with the given transformations
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
The given equation is y=x³
A translation of a graph is its rigid movement, vertically or horizontally.
From given we have,
There is a vertical stretch of 3 units, hence the function is multiplied by 3.
There is a horizontal shift of 4 units to the right, hence x -> x - 4.
There is a vertical shift of 3 units down, hence 3 is subtracted from the function.
The required equation is given by y = 3(x - 4)³ - 3.
Hence y = 3(x - 4)³ - 3 is the equation of y=x³ with the given transformations
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GEOMETRY PLEASE HELPP
Answer:
what do you need help on?
Which expressions
are
equivalent to 6 · 6 · 6 · 6 · 6?
Choose 2 answers:
Answer:
B and C
Step-by-step explanation:
My original answer got deleted because it was incomplete, so...
6 * 6 * 6 * 6 * 6 = 7776
A.) (6²)³ = 46656
B.) 2⁵ * 3⁵ = 7776
C.) 6⁶/6¹ = 7776
D.) 3² * 2³ = 72
Expression \(2^5.3^5\) and \(\frac{6^6}{6^1}\) are equivalent to 6.6.6.6.6. Option B and C are correct.
Expression Equivalent to 6.6.6.6.6. to be determine.
It is defined as solutions to mathematical problems.
Here, 6.6.6.6.6 = 6^5
For option a)
\((6^2)3 = 6^6 \neq 6^5\)
For option b)
\(2^5.3^5=(2.3)^5=6^5\)
For option c)
\(\frac{6^6}{6^1}=6^5\)
For option d)
\(3^2.2^3 \neq 6^5\\\)
Thus, expression \(2^5.3^5\) and \(\frac{6^6}{6^1}\) are equivalent to 6.6.6.6.6. Option B and C are correct.
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Mai is making friendship bracelets. Each bracelet is made from 24.3 cm of string. If she has 170.1 cm of string, how many bracelets can she make?
Answer:
7 bracelets
Step-by-step explanation:
to find the answer to the question you need to divide the total amount of string by the amount of string needed for each bracelet.
170.1/24.3=7
Which of the following statements is true according to the measurements in the diagram? Image not set to scale.
Answer:
4th option
Step-by-step explanation:
The two triangles are not similar as their measurements are different
hope this helps
plz mark as brainliest!!!!!!
The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
Here, we have,
given that,
from the given diagram, we get,
triangle ABC => AB = 8
BC = 4
CA = 10
and, for triangle DCE =>
DE = 20
CD = 10
CE = 25
so, we get,
the three sides of the two triangles are not proportional with each other.
so, we have,
ΔABC and ΔEDC are not similar with each other.
we get,
The two triangles are not similar as their measurements are different.
Hence, The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
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WALKING Germaine walks at the rate of 10 feet every five seconds while Nolan walks at the rate of 15 feet every five seconds. If Germaine has a head start of 25 feet, after how many seconds will they be at the same spot?
Answer:
25
Step-by-step explanation:
Nolan gains 5 feet every 5 seconds.
therefore he moves 1 foot (faster) each second.
it will take 25 seconds.
data collected showes that the more you water the larger your plant will grow if you use the following equation y=1/2×+2 how tall will a plant be at 25 weeks if x is the number of weeks waterd andby represents rhe height of the plant
SOMEONE PLEASE HELP DONT SKIP NO ONE EVERY HELPS ME AND MY GRADE DEPENDS ON THIS PLSSSSS
how many colors of ink are used to print full-color pictures? four plus black six plus black three plus black one plus black two plus black
When it comes to printing full-color pictures, it usually involves using the CMYK color model which stands for cyan, magenta, yellow, and black.
These colors are combined in different amounts to create a wide range of colors and shades. Therefore, the answer to your question is three plus black. The colors cyan, magenta, and yellow are combined to produce a wide range of colors, while the black is added to enhance contrast and to create darker tones.
This combination of colors provides a more accurate and vibrant representation of the original picture. It is important to note that there are other color models used for printing such as RGB (red, green, and blue) which is used for digital displays, but for printing purposes, CMYK is the most common.
In conclusion, full-color pictures are printed using three colors (cyan, magenta, and yellow) plus black to enhance contrast and create darker tones. This combination of colors provides a more accurate and vibrant representation of the original picture.
This model consists of four ink colors: cyan (C), magenta (M), yellow (Y), and key (black, K). These four inks are combined in various proportions to produce a wide range of colors in the final print. Therefore, the correct answer would be four colors (CMYK), including black.
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A shower stall is in the shape of a rectangular prism. The area of the base of the shower is 2.5 square yards. The volume of the shower is 7.5 cubic yards.
What is the height of the shower in yards?
A. 5yd
B. 10yd
C. 6yd
D. 3yd
Answer:
3 yards or option D.
Step-by-step explanation:
We can use the formula for the volume of a rectangular prism, which is:
Volume = length x width x height
We are given that the volume of the shower is 7.5 cubic yards, and the area of the base is 2.5 square yards. We can use the area of the base to find the length and width of the shower, since the base is a rectangle.
Area of base = length x width
2.5 = length x width
We are not given the length or width, but we can solve for one of them in terms of the other:
length = 2.5/width
Now we can substitute this expression for length into the formula for volume:
Volume = length x width x height
7.5 = (2.5/width) x width x height
Simplifying, we can cancel out the width terms:
7.5 = 2.5 x height
Dividing both sides by 2.5, we get:
3 = height
find y if x=2 : a. y=7-(x) b. y= x to the power of 2 minus 1. c. y= x+14 cubed
Answer:
Step-by-step explanation:
A
y = 7 - x
y = 7 - 2
y = 5
B
y = x^2 - 1
y = (2)^2 - 1
y = 2*2 - 1
y = 4 - 1
y = 3
C
y = x + 14
I'm going to assume that you mean (x + 14)^3
y = (x + 14)^3
y = (2 + 14)^3
y = 16^3
y = 4096
If you really do mean what it says, then
y = 2 + 14^3
y = 2744 + 2
y = 2746
Someone help pleaseeee
Step-by-step explanation:
come on, now, this is one of the (if not THE) most important formula you need to remember for the rest of your life :
a² + b² = c²
with c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.
so, in our case, we have then
x² = 5² + 12² = 25 + 144 = 169
x = sqrt(169) = 13
Please can I have help on this?
Answer:
9 :)
Step-by-step explanation:its 9