7)
The given equation of line is y = -5 and the passing point of the new line is (11,15)
The new equation of the line is perpendicular to the y = -5 and passes through (11,15)
The standard form of a line is y = mx + b where m is the slope
So, the given line can be express as;
y = (0)x + (-5)
Thus the slope of the given line is 0
The slopes of two perpendicular lines in the plane is - 1
Let the slope of the new line express as n and the slope of the given line is 0, then the product of 0 and n must be equal to -1
(0)n = -1
n = -1/0
n = undefined
The line y = -5 express as;
Since, the line y = -5 is parallel to the x axis, so the line perpendicular to the y = -5 must be in the form of x = k
As, the line is passes through the (11,15), i.e., x = 11 and y = 15
So, the equation of the line is x = 11
Answer, x = 11
7 1/2 x 3/4 = 45/8 =
Answer:
90/6 is the answer
Step-by-step explanation:
Answer:
15/71
Step-by-step explanation:
(
71
2
x)(3)
4
=
45
8
(
71
2
x)(3)*(8)=(45)*(4)
852x=180
Step 2: Divide both sides by 852.
852x
852
=
180
852
How can I get the number 10 , by only using 1,6 and 7 
Answer:
7 + 1 + 1 + 1 = 10
Step-by-step explanation:
This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.
Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:
7 + 1 + 1 + 1 = 10
By adding 7 with three instances of 1, you obtain 10.
Each of three identical jewelry boxes has two drawers. Each drawer of the first box contains a gold coin. Each drawer of the second box contains a silver coin. In the third box, one drawer has a gold coin and the other drawer a silver coin. If a box and drawer are selected at random, and the selected drawer has a silver coin, what is the probability that the other drawer has a gold coin
Answer:
75%
Step-by-step explanation:
75% of possibility to have gold coin
generally, the___value is more important than the___value of a given statistic since it is more contextual.Select the two resposes below that correctly fill in the blanks.Select all that apply:O nominal; realO real; nominalO unadjusted; inflation-adjustedO inflation-adjusted; unadjusted
The completed statement with regards to the importance of the nominal and real value of a statistic are presented as follows;
Generally, the real value is more important than the nominal value of a given statistic since it is more contextual
What is the nominal value of a statistic?The nominal value of an item is the current or unadjusted price of the item, such that the effect of inflation on the price of the item are not included.
An item's real value, also known as the relative price of the item is obtained by adjusting the nominal value of the item for inflation, such that the value of the item is indicated based on a comparison to another item.
An example comparison of the nominal and real value of an item are presented as follows;
Let $50,000 represent the personal income of a person in the current year, let $53,000 represent the income of the person in the following year, and let the rate the inflation rate be 2.5%, therefore;
The nominal rate of increase or growth of the income is; (53,000 - 50,000)/(50,000) × 100 = 6%
The real growth of the income is therefore 6% - 2.5% = 3.5%
Therefore, for measurements of economic indices such as the Gross Domestic Product, GDP, the real values are more important as the real values form a more accurate indication of the economic parameters.
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Can someone please help me?
Answer:
4x+5y=8
Step-by-step explanation:
Find the slope first then
Use the slope intercept form to get the formula
Then rearrange it to find this answer
(I didnt write all the steps as they would get confusing)
Find the perimeter of the figure.
Answer:
A) 60
Step-by-step explanation:
P = 5+5+11+9+(5+11)+(9+5)
P = 60
Answer:
A. 60 m
Step explanation:
Perimeter for the small cube
5+5+5+5=20
Perimeter for the rectangle
9+9+11+11=40
Add 20 plus 40 to find the perimeter for the whole shape
20+40=60
Hope this helps
Find the value of c ( x + 1 ) factor of the polynomial p ( x ) = 5 x 4 + 7 x 3 − 2 x 2 − 3 x + c
Step-by-step explanation:
I think the actual equation you meant to write was 5x⁴ + 7x³ - 2x² - 3x + c.
You're going to equate the whole equation to 0 and replace x for -1( because x + 1 is a factor)
= 5(-1)⁴ + 7(-1)³ - 2(-1)² - 3(-1) + c = 0
= 5 - 7 - 2 + 3 + c = 0
= - 1 + c = 0
Therefore c = 1
What is the area of a sector when 0=pi/2 radians and r=8/3
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)
1. How many faces, vertices, and edges do the pyramids have? Name at least
three patterns you notice.
Pyramid have faces=n triangles & 1 n-sided polygon
Edges=2n
vertices=n + 1
What are edges?An edge is a line segment that serves as a transition between two faces. It is also sometimes referred to as the line segment that connects two vertices.
What are vertices?The location where two or more edges intersect is the formal definition of the vertex in mathematics. The corner points are called vertices.
What are faces?A solid's face refers to each unique flat surface. Solids have multiple faces.
The number of faces in a pyramid is equal to one more than the base's polygon's number of sides.
faces = n triangles & 1 n-sided polygon
One more than the number of sides at the base of the polygon makes up the number of vertices in a pyramid.
hence, vertices = n + 1
Two times the number of sides at the base of a polygon equals the number of edges on a pyramid.
Therefore, edges = 2n
A pyramid has n triangles & 1 n-sided polygon Faces
A pyramid has 2n Edges.
A pyramid has n + 1 Vertices.
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A cube has a volume of 216 cubic inches. What is the length of each edge of the cube? Explain how you solved it.
A. 9 in.
B. 6 in.
C. 4 in.
D. 3 in.
Answer:
B.
Step-by-step explanation\(\sqrt[3]{216} =6\)
Find the measures of angles 1 and 2. If necessary, round to the tenths place. Hint: Do not assume that Point D is the center of the circle. A. mZ1 = 20° m2 = 20° B. m2 = 40° m2 = 140° C. ml = 82.5° mZ2 = 97.50 D. m1 = 97.5° m2 = 82.5°
Answer:
C. m<1 = 82.5 m<2 = 97.5
Step-by-step explanation:
7 liters equals how many gallons
Answer:
1.8
Step-by-step explanation:
search it up
what is the solution for 15= 1/2 + 3/2x + 10
Answer:
x = 3
Step-by-step explanation:
Write a function for the sinusoid (the curve).
У
(2,5)
14
(1, -1)
3
1
Choose...
3 cos x + 2
The function is f(x) = 3 sin x
3 sin x
3 cos x
2 X
The equation of the sinusoid function is:
3 Sin πx + 2.
Let's analyze the given options to find the correct equation:
a. 3 Cos πx + 2:
This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.
b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.
c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:
To determine if the period is correct, we need to calculate the x-values when the function repeats itself.
In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.
sin(πx) = 0 when πx = 0, π, 2π, 3π, ...
Solving for x, we have:
πx = 0 ⟹ x = 0
πx = π ⟹ x = 1
πx = 2π ⟹ x = 2
πx = 3π ⟹ x = 3
From this, we can see that the function repeats itself every integer value of x, which matches the given information.
Therefore, option (c) is the correct equation: 3 Sin πx + 2.
Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.
Hence, the equation of the sinusoid function is:
3 Sin πx + 2.
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Find the value of x.
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
I NEED THIS ASAP
In the diagram below, besides those facts shown, we also have AB = AC. Find the measure of angle A. Please show your work.
please solve this im kind of lazy I’ll give you brainliest
Using speed, distance and time relation, Naseem will take 852.8 s to cover 160m.
SpeedSpeed is the rate at which an object travels from one place to another in a predetermined amount of time. Since it determines the magnitude of a moving object rather than its directions, it is a scalar quantity. M/s is the SI unit of speed.
TimeTime is the reading on a clock, and in physics, time is defined by its unit of measurement. According to classical, non-relativistic physics, it is a scalar quantity.
DistanceDistance is the measure of an object's overall motion, regardless of direction. Distance can be thought of as the area that an object covers, independent of where it starts or stops.
Given,
Naseem took 1 minute and 15 sec to cover 400 m.
time = 1 minute = 60 seconds
1 minute 15 sec = 60 + 15 = 75 sec
His speed will be -
Speed = distance / time
speed = 400 / 75
speed = 5.33 m/s
Naseem will take time to cover 160m =
time = speed × distance
time = 5.33 × 160
time = 852.8 s
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NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
Select the correct answer.
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
OA. -7 and 6
OB. -6 and 7
OC. 6 and 7
OD
-7 and -6
Given:
A function g has the factors (x - 7) and (x + 6).
To find:
The zeros of the function g.
Solution:
We know that if (x-a) is a factor of a function then x=a is a zero of that function because
\(x-a=0\)
\(x=a\)
It is given that the function g has the factors (x - 7) and (x + 6).
\(x-7=0\)
\(x=7\)
Similarly,
\(x+6=0\)
\(x=-6\)
Therefore, -6 and 7 are two zeros of the function g.
Hence the correct option is B.
When adding
4 2/3 + 7 1/18
what is the least Common Denominator?
Answer:
Step-by-step explanation:
The least Common Denominator is 18
Leah flips a coin, then spins a spinner with 3 equal sides colored red, green, and blue. what is the probability that she:
flips a head
and
rolls a red or blue?
Enter your answer as a percentage.
Answer:
the probability that she rolls a blue is 33.3% or 1/3. the probability that she lands heads is 50% or 1/2
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change as a simplified mixed number would be,
⇒ 1 3/4
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.
Now, The average change as a simplified mixed number would be,
⇒ (12 1/4) / 7
⇒ (49/4) / 7
⇒ (49 / 4×7)
⇒ 7/4
⇒ 1 3/4
Therefore, The average change is,
⇒ 1 3/4
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Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place
The radius of the circle, marked p on the diagram, is approximately 5.8 cm.
What is radius?Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.
The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.
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In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.
What is the M1 for October 2010?
A.) $1.24 trillion or $1,239 billion
B.) $1.34 trillion or $$1,335 billion
C.) $2.84 trillion or $2,836 billion
C.) $1.14 trillion or $1,137 billion
Answer:
In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.
A cylinder shaped glass with a base radius of 1.5 inches and a height of 6 inches weighs 1.06 ounces when empty. The glass is then filled with water to one inch from the top. If 1 cubic inch of water weighs about 0.6 ounc, how many ounces does the glass of water weigh, including the weight of the glass?
Check the picture below.
so simply let's get the volume of the non-filled cylinder and add the glass weight.
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=5 \end{cases}\implies V=\pi (1.5)^2h\implies V=11.25\pi ~in^3 \\\\\\ \stackrel{\textit{weight of the water}}{11.25\pi \cdot 0.6}+\stackrel{\textit{glass weight}}{1.06}~\approx~\underset{oz}{36.40}\)
x and y are integers of y<2 , x+y<4 , y<2x+2
Can someone help me pls
Answer:
see below
Step-by-step explanation:
y<2 means everything below 2
x+y<4 = y<-x+4 so graph that line and everything below it is part of it.
y<2x+2 is the same thing, and just highlight the area/areas that are underneath all those lines. (all of them, not just one)
The common region for all the inequalities y ≥ 2, y ≤ 2x + 2and x + y ≤ 4 is represented by ΔABC (the last graph)
What is an inequality?"It is a statement which consists of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two mathematical expressions."
For given question,
We have been given three inequalities
y ≥ 2 ,
x + y ≤ 4 ,
y ≤ 2x + 2
If we draw the graph of these three inequalities then the common region represents the all the points that fulfill all three inequalities.
An inequality y ≥ 2 represents all the points on and above the line y = 2
An inequality x + y ≤ 4 represents all the points on and below the line x + y = 4
An inequality y ≤ 2x + 2 represents all the points on and below the line y = 2x + 2
Consider the following graphs.
The first graph represents the points which fulfill the inequality y ≥ 2
The graph for an inequality x + y ≤ 4 is represented by the shaded blue region.
The graph for an inequality y ≤ 2x + 2 is represented by the shaded green region.
The common region for all the inequalities is represented by ΔABC
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Consider
the polynomials given below.
P = 1125 + 924 - 42³ 72² + 5
Q = (22² + 1) (42² - 3)
Determine the operation that results in the simplified expression below.
1125 + - 42³ - 52² + 8
O P Q
O
Ο
O
P+Q
PO
Q-P
The polynomial 11x⁵ + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.
What is an expression?
A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)
Given polynomials are:
P = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5
Q = (2x² + 1) (4x² - 3)
Simplify the polynomial Q = (2x² + 1) (4x² - 3):
Q = (2x² + 1) (4x² - 3)
Q = 2x²(4x² - 3) + 1(4x² - 3)
Q = 8x⁴ - 6x² + 4x² - 3
Add like terms:
Q = 8x⁴ - 2x² - 3
Now calculate P + Q
P + Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3
Combine like terms:
P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³ + (- 7x² - 2x²) + 5 - 3
P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2
Now calculate P - Q
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3
P - Q = 11x⁵ + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)
P - Q = 11x⁵ + x⁴ - 4x³ - 5x² + 8
Now calculate Q - P
Q - P = 8x⁴ - 2x² - 3 - (11x⁵ + 9x⁴ - 4x³ - 7x² + 5)
Q - P = 8x⁴ - 2x² - 3 - 11x⁵ - 9x⁴ + 4x³ + 7x² - 5
Combine like terms:
Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5
Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8
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Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!x = 13, ¿cuál ecuación es verdadera?
3(18 - x) = 67
4(9x) = 23
2(x-3)=7
5(x-9) = 20
When x = 13, the equation that is true is option D) 5(x - 9) = 20.
To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:
A) 3(18 - x) = 67
Substituting x = 13:
3(18 - 13) = 67
3(5) = 67
15 = 67
The equation is not true when x = 13. Therefore, option A is false.
B) 4(9x) = 23
Substituting x = 13:
4(9*13) = 23
4(117) = 23
468 = 23
Again, the equation is not true when x = 13. Therefore, option B is also false.
C) 2(x - 3) = 7
Substituting x = 13:
2(13 - 3) = 7
2(10) = 7
20 = 7
Once again, the equation is not true when x = 13. Therefore, option C is false as well.
D) 5(x - 9) = 20
Substituting x = 13:
5(13 - 9) = 20
5(4) = 20
20 = 20
Finally, the equation is true when x = 13. Therefore, option D is true.
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Note: the translated questions is
X = 13, which equation is true?