Answer:
120
Step-by-step explanation:
What is the ratio for 3 rectangles and 4 ovals in its simplest form?
The ratios for the rectangles and the ovals is 4 : 3
Calculating the ratios for the rectangles and the ovalsFrom the question, we have the following parameters that can be used in our computation:
Rectangle = 4
Oval = 3
The ratio can be represented as
Ratio = Rectangle : Oval
When the given values are substituted in the above equation, we have the following equation
Rectangle : Oval = 4 : 3
The above ratio cannot be further simplified
This means that the ratio expression would remain as 4 : 3
Hence, the solution is 4 : 3
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geometry need help please
I need help please guys
The solution is :
After the row operation replaces the second row, the augmented matrix is : [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]
Here, we have,
The designated sum can replace either row. Consult your curriculum materials for the intent.
Here, we'll replace row 2 with the sum.
3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)
After the row operation replaces the second row, the augmented matrix is ... [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]
Hence, The solution is :
After the row operation replaces the second row, the augmented matrix is : [tex]\left[\begin{array}{ccc}-6 &3& -4 \\0&-3&11\end{array}\right][/tex]
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factorise fully
1) 3x² - 27y²
2) 2014² - 2013²
please help
Answer: 3x² - 27y² = (3x²) - (27)(y²) = 3(x² - 9y²) = 3(x - 3y)(x + 3y), and 2014² - 2013² = (2014 + 2013)(2014 - 2013) = (3127)(1) = 3127
Im not 100% sure of this answer cause I'm not that good at stuff like this but I still think this is right fr fr
Which of the following is not the solution of system of inqualities
(1,0) (8,0). (0,4). (3,0)
The points (1,0) (8,0). and. (3,0) are not the solution of system of inqualities
How to deterine which is not the solution of system of inqualitiesFrom the question, we have the following parameters that can be used in our computation:
The graph
Also, we have the following ordered pairs
(1,0) (8,0). (0,4). (3,0)
From the graph, we have the following ordered pairs in the shaded region
(0, 4)
Other points (1,0) (8,0). and. (3,0) are not in the shaded region
This means that (1,0) (8,0). and. (3,0) are not the solution of system of inqualities
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Based on the March expense statement, how much did Maria spend using her credit card?
A. $181.18
B. $117.57
C. $507.59
D. $25.28
Write the coordinates of the vertices after a dilation with a scale factor of 1 2 , centered at the origin.
The coordinates of the vertices after a dilation of the scale factor would be:
W' = (2.5, 5)V' = (0, -5)U' = (2.5, -5)How to dilate the vertices ?To perform a dilation with a scale factor of 1/2 centered at the origin, we multiply the coordinates of each vertex by the scale factor.
Given the vertices:
W = (5, 10)
V = (0, -10)
U = (5, -10)
After applying the dilation with a scale factor of 1/2, the new coordinates of the vertices would be:
W' = (5 * 1/2, 10 x 1/2) = (2.5, 5)
V' = (0 * 1/2, -10 x 1/2) = (0, -5)
U' = (5 * 1/2, -10 x 1/2) = (2.5, -5)
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Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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Please solve this question
The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.
We have,
The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
Now,
Given that the parabola passes through (-2, 4) and has a vertex (0, 8), we can substitute these values into the equation to find the value of 'a'.
Using the vertex (0, 8):
8 = a(0 - 0)² + 8
8 = a(0) + 8
8 = 8
Since the coefficient of the squared term is 'a', which remains unchanged, we can conclude that a = 1.
Therefore,
The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.
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A simple gable roof is to cover a span of 32 feet. If it is to have a 7:12 pitch, how tall will the ridgeline be above the house?
The ridgeline will be 18.67 feet above the house.
What will be the height of the ridgeline above the house?Generally, a height refers to the measurement of someone or something from head to foot or from base to top.
To find the height of the ridgeline, we will use the formula: Height = (Pitch / 12) * Span
Given data:
Pitch = 7
Span = 32 feet
Inputting the values, we have:
Height = (7 / 12) * 32
Height = 0.5833 * 32
Height = 18.6656
Height = 18.67 feet.
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What’s the constant term of the polynomial 2x^3-5x^2+8*x+3
The constant term of the polynomial 2x³-5x²+8x+3 is 3.
A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, which are combined using addition, subtraction, and multiplication, but not division by a variable.
The variables in a polynomial are typically denoted by x, y, or z, and the coefficients can be constants or other polynomials.
The constant term of a polynomial is the term that doesn't have any variable attached to it. In this case, the constant term is the one that only has a number, which is 3.
Therefore, the constant term of the polynomial 2x³-5x²+8x+3 is 3.
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Given: KBWN is a parallelogram with diagonals KW and BN intersecting at point H.
Prove:
An incomplete flowchart proof is shown.
By ASA congruency triangle KBH is congruent to triangle NWH.
Given that, KBWN is a parallelogram with diagonals KW and BN intersecting at point H.
From the given figure,
Consider ΔKBH and ΔNWH,
∠KHB=∠NHW (Vertically opposite angles)
∠HKB=∠HWN (Interior alternate angles parallelogram)
KH=HW (Diagonals bisect each other)
By ASA congruency ΔKBH ≅ ΔNWH
Therefore, by ASA congruency triangle KBH is congruent to triangle NWH.
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Please someone help me with this. Simplify. The expression in the picture no negative exponents should be added in the answer
A simplification of the given expression is 1/m¹⁶.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.
Mathematically, an exponent can be represented or modeled by this mathematical expression;
bⁿ
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.By applying the division and multiplication law of exponents for powers of the same base to the given algebraic expression, we would have the following simplified expression:
[tex](m^{\frac{4}{5}} \cdot m^{\frac{4}{5}} )^{-10}\\\\(m^{\frac{4}{5} +\frac{4}{5} } } )^{-10}\\\\(m^{\frac{8}{5} } )^{-10}\\\\(m^{\frac{8 \times -10}{5} } )\\\\(m^{\frac{-80}{5} } )\\\\m^{-16}[/tex]
1/m¹⁶
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You deposit $5000 in an account earning 3% interest compounded continuously. How much will you have in the
account in 15 years?
Answer:
$7841.56----------------------
Use the compound interest formula:
[tex]A = Pe^{rt}[/tex]Where:
A = final amount;P = initial deposit = $5000;r = annual interest rate = 3% = 0.03;t = time period in years = 15.Plugging in the values, we get:
[tex]A = 5000*e^{0.03*15}[/tex][tex]A = 7841.56[/tex]Find the greatest common factor of 21x^4 and 49x^3
The greatest common factor of two terms given as 21x⁴ and 49x³ is equal to 7x³.
To find the greatest common factor (GCF) of two terms, we need to find the highest factor that is common to both terms. In this case, we have 21x⁴ and 49x³.
To find the factors, we can break each term down into its prime factors:
21x⁴ = 3 * 7 * x * x * x * x
49x³ = 7 * 7 * x * x * x
The common factors are 7 and x³. To find the GCF, we multiply these common factors together:
GCF = 7 * x³
GCF = 7x³
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Can someone please answer and provide an explanation for these problems?
Answer:
50) Midpoint: (5.5, 0)
51) Midpoint: (6, -8)
Step-by-step explanation:
We can find the midpoint between two points using the midpoint formula, which is m = (x1 + x2) / 2, (y1 + y2) / 2, where
m is the midpoint,(x1, y1) are one point,and (x2, y2) are another point50) We can allow (10, 10) to be our (x1, y1) point and (1, -10) to be our (x2, y2) point:
x-coordinate of midpoint of (10, 10) and (1, -10):
(10 + 1) / 2
11 / 2
5.5
y-coordinate of midpoint of (10, 10) and (1, -10):
(10 + (-10)) / 2
(10 - 10) / 2
0 / 2
0
Thus, the midpoint of the line segment with the endpoints (10, 10) and (-1, 10) is (5.5, 0).
51) We can allow (3, -6) to be our (x1, y1) point and (9, -10) to be our (x2, y2) point:
x-coordinate of midpoint of (3, -6) and (9, -10):
(3 + 9) / 2
12 / 2
6
y-coordinate of midpoint of (3, -6) and (9, -10):
(-6 + -10) / 2
(-16) / 2
-8
Thus, the midpoint of the line segment with the endpoints (3, -6) and (9, -10) is (6, -8).
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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HELP PLEASE ASAP PHOTO INCLUDED
The volume of water that the pool can hold is 150.72 cubic centimeters.
How to find the volume of the pool?Remember that the volume of a cylinder of radius R and height H is:
V = pi*R²*H
Where pi = 3.14
For the pool we know that the height is H = 3ft, and the diameter is 8ft, then the radius is R = 8ft/2 = 4ft
Replacing that in the volume formula we will get:
V = 3.14*(4cm)²*3cm
V = 150.72 cubic centimeters.
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On a standardized exam, the scores are normally distributed with a mean of 300 and
a standard deviation of 40. Find the z-score of a person who scored 280 on the exam.
Answer:
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The z- score of a person who scored 280 on the exam can be found to be - 0. 5.
How to find the z - score ?A z-score indicates how many standard deviations an element is from the mean.
The formula is:
Z = ( X - μ ) / σ
The details here are:
X = 280, μ = 300, and σ = 40
The z - score is therefore :
Z = (280 - 300) / 40
= -20 / 40
= -0.5
In conclusion, the z - score of a person who scored 280 on the exam is -0.5. This means that their score is half a standard deviation below the mean.
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how many cubes that are 1" x 1" x 1" could fit into a box that is 8" x 8" x 8"
Answer:
512
Step-by-step explanation:
To determine how many 1" x 1" x 1" cubes can fit into an 8" x 8" x 8" box, we need to calculate the volume of the box and then divide it by the volume of a single cube.
The volume of the box is calculated by multiplying its length, width, and height:
Volume of the box = 8" x 8" x 8" = 512 cubic inches.
The volume of a single cube is 1" x 1" x 1" = 1 cubic inch.
To find out how many cubes can fit, we divide the volume of the box by the volume of a single cube:
Number of cubes = Volume of the box / Volume of a single cube
Number of cubes = 512 cubic inches / 1 cubic inch
Number of cubes = 512
Therefore, 512 cubes that are 1" x 1" x 1" can fit into an 8" x 8" x 8" box.
Find the distance between (2, 5) and (-5, 8).
58
√58
2√43
2
Answer:
d = [tex]\sqrt{58}[/tex]
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, 5 ) and (x₂, y₂ ) = (- 5, 8 )
d = [tex]\sqrt{(-5-2)^2+(8-5)^2}[/tex]
= [tex]\sqrt{(-7)^2+3^2}[/tex]
= [tex]\sqrt{49+9}[/tex]
= [tex]\sqrt{58}[/tex]
In the figure, what percentage of the circles are shaded?
Answer: E. 25%
Step-by-step explanation: There are 12 circles in total. 3 out of those twelve are shaded in, making it in fraction form 3/12. dividing both the numerator in the denominator by 3 simplifies it into 1/4. which is subsequently, 25%
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
2=a
7=b
Step-by-step explanation:
a+14=6a+4
-a
14=5a+4
-4
10=5a
/5
2=a
9b+8=10b+1
-1
9b+7=10b
-9b
7=1b
/1
7=b
Answer:
WZ=7
XY=7
WX=2
ZY=2
Step-by-step explanation:
9b+8=10b+1
Take 9b to 10b and 1 to 8 to form the equation
8 - 1 =10b - 9b
7 = b
a + 14 =6a + 4
Take a to 6a and 4 to 14 to form the equation
14 - 4 =6a - a
10 =5a
Simplify the answer
10/5 =5a/5
Five divide by five 1 and 10 divided by 5 is 2
Answer is therfore
2 = a
The record low temperature in Fargo, ND is -35 degrees. The record high is 114 degrees. What is the difference in the record high and the record low temperatures?
The difference between the record high and low temperatures is 149 degrees.
What is the difference between the temperatures?A negative number is a number that is less than zero. A negative number usually has a minus sign in front of it. An example of a negative number is -35. A positive number is a number that is greater than zero. An example of a positive number is 10.
In order to find the difference between two or more numbers, subtract the numbers from each other.
Difference between the temperature = record high temperature - record low temperature
114 - -35
114 + 35 = 149 degrees
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I just need the answer for letter b
If f(x) = 1/343, then x = -3. The point on the graph of f when f(x) = 1/343 is (-3, 1/343).
How to explain the valueA point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.
If f(x) = 1/343, then x = -3. This is because 343 = 7³, therefore the inverses is 1/343. The point on the graph of f when f(x) = 1/343 is (-3, 1/343
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Esther ran round the playground and 12 times. The playground is 240 m by 160 m. what distance did she cover?
The total distance she cover after running is 9600 meters
How to calculate the total distance she cover?From the question, we have the following parameters that can be used in our computation:
Number of times = 12 times
Dimensions of the playground = 240 m by 160 m
The perimeter of the playground is calculated as
Perimeter = 2 * sum of dimensions
substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (240 + 160)
The total distance she cover is calculated as
total distance = 12 * 2 * (240 + 160)
Evaluate
total distance = 9600 meters
Hence, the total distance she cover is 9600 meters
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A rectangle has an area of 114cm squared and a perimeter of 50 cm. What are its dimensions
If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.
Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².
So, we have:
lw = 114
Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.
So, we have:
2l + 2w = 50
We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:
l = 114/w
We can then substitute this expression for l in the second equation:
2(114/w) + 2w = 50
Multiplying both sides by w to eliminate the fraction, we get:
228 + 2w² = 50w
Rearranging and simplifying, we get a quadratic equation:
2w² - 50w + 228 = 0
We can solve for w using the quadratic formula:
w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5
Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:
l(5) = 114
l ≈ 22.8
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A bag contains 14 blue marbles, 6 green marbles and 8 purple marbles. What is the likelihood of randomly drawing a blue marble?
Answer:
0
Step-by-step explanation:
because 6 plus 8 eqaul 14
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The proof of ΔRUV ≅ ΔSUT is shown below.
Given that:
RSTV is a rectangle and U is the midpoint of VT.
Here, We have to Prove:
⇒ ΔRUV ≅ ΔSUT
Now, We can prove as;
Statement Reason
1) RSTV is a rectangle Given
2) Angle V and T are Because every angle in a rectangle is 90
right triangle.
3) ∠V ≅ ∠T Because both are right angle.
4) U is the midpoint of VT. Given
5) VU = UT By midpoint theorem.
6) VR ≅ TS Opposite sides of rectangle.
7) ΔRUV ≅ ΔSUT By SAS congruency theorem.
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Does the data follow a normal distribution? Why or why not?