Left column:
1.The slope of the line that passes through the points (9,6) and (1,4) will be:
\(m=\frac{6-4}{9-1}=\frac{2}{8}=\frac{1}{4}\)2.note that the line passes through the points (2,1) and (-3,-4) then the slope will be:
\(m=\frac{-4-1}{-3-2}=\frac{-5}{-5}=1\)
Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
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Find tan(Q).
A 1
3 9
"5
135°
P
para os a
was a s
Save and Exit
Next
Submit
The answer for the given trignomatric function is equal to tan(Q) = 1, where Q=45 degrees.
What is angle?An angle is a shape created by two rays or lines that meet at the same terminal. The Latin word "angulus" (which means "corner") is where the term "angle" first appeared. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign "∠" is used to denote angles. The Greek letter θ can be used to represent the angle between the two beams.
What is tangent?A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. Assuming a line contacts the curve at P, "P" is referred to be the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.
according to question,
we can say that sum of a triangle is 180 degrees
so, Q=45 degrees
Tan(45) = 1
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Write the subtraction expression as an equivalent addition expression and then evaluate it.
−15−12
Enter the correct answers in the boxes.
The subtraction expression is solved to get -27 gives while the equivalent addition expression is -65 + 35 evaluating gives -47
What is subtraction and addition?Subtraction refers taking away a value from a certain value while addition implies increasing a value by a certain value
Given data
-15 - 12
solving we have
-15 - 12 = -27
equivalent addition
-62 + 35
evaluating the equivalent addition
-65 + 35 = --27
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Compare the expressions 7+3^2-2⋅5 and (3/4+1/8)÷1/8 using , =, or . Show your work. Answer:
\(A=7+3^2 -2 \cdot 5 = 7 + 9 - 10 = 9-3=6\\\\\\B = \left(\dfrac 34 + \dfrac 18\right) \div \dfrac 18 = \dfrac 78 \times 8 =7\\\\\\B>A\)
The expression relation is 7+3²-2⋅5 > (3/4+1/8)÷1/8.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
First, 7+3²-2⋅5
Solving the above expression
= 7 + 9 -2.5
= 16 - 2.5
= 13.5
Second,
(3/4+1/8)÷1/8
= (6/8 + 1/8) ÷ 1/8
= 7/8 ÷ 1/8
= 7/8 x 8/1
= 7
Hence, 7+3²-2⋅5 > (3/4+1/8)÷1/8.
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HELP; PLZZZ GIVING 20 BRAINLIEST PLZZZ.
Answer:
Step-by-step explanation:
In the equation y=kx+1, k is the slope and 1 is the y-intercept.
To find the slope, use the formula k=y2-y1/x2-x1. To use this formula, you need two points. The first point, point M, is given to you. The second point can be the y-intercept, point (0, 1). Now, apply the formula to find the slope: k=3-1/1-0
k=2/1
k=2
We now have the equation y=2x+1.
The next step is to graph the line.
First, graph the y-intercept. Should look something like this: (star represents point. the point is on (0, 1).)
|
|
*
------------------------------
|
|
Then, use the slope to find your second point: (the point is on (1, 3)).
| *
|
*
------------------------------
|
|
Draw a line through those two points and you have your answer!
Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Two forces F1 and F2 are given by the vectors F, = (pi + 5j N and F, = (3i + qj) N. The resultant force,
R = F, + F2 acts in a direction which is parallel to the vector 2i - 5j.
a Find the angle, to 2 decimal places, between R and the vector 2i.
b Show that 5p + 2g = -25.
c Given that p = -3, find, to 2 decimal places, the magnitude of R.
Answer:
a) Find the angle, to 2 decimal places, between R and the vector 2i.
Step-by-step explanation:
Two forces, F1 and F2 are given by the vectors F1=(4i-5j)N and F2=(pi-qj)N. The resultant force, R=F1+F2 acts in the direction which is parallel to the vector (3i-j)
PLEASE HELP ME!!! Its easy!
Answer:
(-1(3/6))+(-3/5)=(-1(3/6))-(3/5)=(-1.5)-(0.60)=-2.1
-2.1
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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igure the amount of concrete (in cubic yards) required to pour a floor slab of the following dimensions: 18' by 24' by 4".
The amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.
What is a Cuboid ?A cuboid is a three dimensional shape , with 6 faces , each face is a rectangle.
The concrete can be considered as in the shape of a cuboid.
Length = 18
Breadth = 24'
Height = 4"
Volume of Cuboid = Length * Breadth * Height
Volume of the cuboid = 18 * 24 * 4 *12*12 *(0.0278)³
=5.34 cu.yard.
Therefore the amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.
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p(x) = C₁pxqn-x
When processing credit-card applications there is a 40% chance that an application will
have incomplete or insufficient information and require research. You have 5 applications
in your to-do pile and would like to leave early today.
(a) Fill in the values:
n
p=
(b) What is the probability of exactly three applications needing research? (enter a
number between 0 and 1, 4 decimal places)
Answer=
Answer=
q=
(c) What is the expected number of applications that will need research?
Answer=
(d) What is the probability of having AT LEAST the expected number of applications
needing research? (enter a number between 0 and 1, 4 decimal places)
The value regarding the probability shows that n is 5, p is 0.4 and q is 0.6.
How to calculate the valuesProbability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.
a)n=5
P=40%=0.4
q=1-p=1-0.4=0.6
b)p(x)= nc x p x q^n-x
p(x=3)=5C3×0.4^3×0.6^2
=0.2304
C) E(x)=np=5×0.4=2
Expected number of applications that will need research is 2
d)or(at least the expected number of applications)=p(x≥2)=1-p(x<2)
=1-{p(x=0)+p(x=1)
=1-{5C0×0.4^0×0.6^5 +5C1×0.4^1×0.6^4}
=1-0.3370
=0.6630
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Geometry proofs lm no
Answer:
?
Step-by-step explanation:
the position vectors of points A and B of a line AB are (1 2) and (5 8) respectively . find the position vector of mid poind M of AB.
Answer:
(3,5)
Step-by-step explanation:
Mid-point = (1i+2j+5i+8j)/2
=(6i+10j)/2
=3i+5j
=(3 5)
sin430° x sin490° x sin530° = 1/8
Answer: 1/8
Step-by-step explanation:
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Answer all questions please
Answer:
a) f(1) = 3
b) f(-1) = -0.25
c) x = 0, 3
d) x = -0.75
e) domain [-2, 4]
range [-1, 3]
Step-by-step explanation:
In this graph, f(x) is represented by the y-axis.
a) We can see that f(1) (the y-value when x = 1) is 3.
b) Looking at the graph, we can estimate f(-1) as about -0.25.
c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.
d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.
e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]
The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].
In a large population, 53 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
The probability the at least of the people selected from 5 is vaccinated is 0.997.
What is meant by the binomial distribution?The binomial distribution is a statistical probability distribution that summarizes the likelihood of a value taking one of two independent values under the specific set of assumptions or assumptions.
The likelihood that at least one person has been vaccinated = 1 - the likelihood that nobody has been vaccinated. In a large population, the probability of a randomly selected person NOT being vaccinated is 1 - 0.53 = 0.47.Because the five randomly chosen people are independent, the probability that they're all unvaccinated is (0.47)⁵,
The probability that at least one among them 5 has been vaccinated is;
= 1 - (0.47)⁵
= 0.997
Therefore, the probability that at least one of the five people chosen is vaccinated is 0.997.
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A student gave 2/3 of her cassette tapes to her friend. If she kept 24 tapes, how many did she give away?
Answer:
48 tapes
Step-by-step explanation:
2/3 is given away
1/3 = 24
24 x 3 = 72
2/3 of 72 = 24 x 2
24 x 2 = 48
6 calculators cost $190.00 unit rate and rate
Answer:
The unit rate is 32.6 dollars for 1 calculator
Answer:
Step-by-step explanation:
31.67 would be the approximant cost for one calculator
Did that help?
In a random survey of 50 seventh grade students at O'Donnell Middle School, 32 said chocolate was their favorite flavor of ice cream. The school has 750 students in seventh grade. How many of them are likely to select chocolate as their favorite flavor?
Answer:
480 people are likely to select chocolate as their favorite flavor.
Step-by-step explanation:
32 out of 50 = 32/50 = 16/25
750 * 16/25 = 480
Find the Simple Interest for a $15,000 loan with
R 8% interest at 3 years.
What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Answer:
5009.206
Step-by-step explanation:
The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Describe how the graph of the function is a transformation of the original function f.y=f(\frac{1}{5}x)This results in a (vertical and horizontal) ___ to the graph by a factor of ____.
Answer:
• Horizontal
,• Stretch
,• Factor of 5
Explanation:
Given the original function y=f(x).
The transformation is given below.
\(y=\frac{1}{5}x\)The transformation results in a horizontal stretch to the graph by a factor of 5.
Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist Will mark brainlist
Answer:
A
Step-by-step explanation:
A= 125
Step-by-step explanation:
in a triangle all angles add up to 180
Do 180-55= 125
hope this helps :)
A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle. A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle.
Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.
The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:
15^2 + 17^2 = x^2
Simplifying this equation, we get:
225 + 289 = x^2
514 = x^2
x = sqrt(514)
Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Eight less than three times the difference of a number and two
Write that but as an equation pls
Answer:
(3(x-2))-8
Step-by-step explanation:
Like this?
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses