Solution:
Given the vector h;
[tex]h=8i-11j[/tex]The vector in component form is;
[tex]h=<(8,-11)>[/tex]This table shows the top athletes that play both basketball and track. What is the intersection between the set of basketball players and the set of track athletes? Basketball Track Arnold Berenson Nickerson Eaton Yun Tadesse McDonald Jones Tadesse Nickerson Yang Martin
The intersection between the set of basketball players and the set of track athletes is given by:
{Tadesse, Nickerson}
What is the intersection between two sets?The intersection between two sets is the set containing the elements that belong to both sets which we are calculating the intersection.
In the context of this problem, the sets are given as follows:
List of basketball players: {Arnold, Nickerson, Yun, McDonald, Jones, Tadesse}List of track athletes: {Berenson, Eaton, Tadesse, Nickerson, Yang, Martin}.The intersection is composed by athletes that are both basketball players and track athletes, hence it is given as follows:
{Tadesse, Nickerson}
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use the graph to complete the ordered pair solution (0,_) for f.
we must look the value of the graph when x=0
the graph trought x=0 when y=-1 so, the point is
[tex](0,-1)[/tex]2. I want to find the area of a basketball free throw lane, and I am trying to use this formula:
Area =(6 ft) + (12 ft)(19 ft).
Clearly explain how you can tell this is wrong without knowing any area formulas.
Answer:
Down Here
Step-by-step explanation:
Hello!
Area is measured in units². Here, the units are feet, so the area would be written as feet² (ft²).
Simplifying the expression:
6ft + (12ft)(19ft)6ft + 228ft²You can't simplify this because the units are not the same, and this can't measure area because all units of the area have to be squared. The term 6ft has non-squared units.
A chocolate chip cookie recipe ask for 1 1/2 times as much flour as chocolate chips if 3 1/2 cups of flour is used what quantity of chocolate chips would then be needed according to the recipe
Given:
Amount of chocolate chips needed = 1 1/2 times as much floor.
Amount of floor used = 3 1/2 cups.
Let's find the quantity of chocolate chips that would be needed according to the recipe.
To find the amount of chocolate chips used, we have:
Amount of chocolate chips
[tex]undefined[/tex]Which of the following is the number of sides a polygon can have to form aregular tessellation?O A. 9B. 3C. 5D.7
From the image, we are asked the number of sides a polygon can have to form a regular tesselation.
The first step is to understand what a regular tessellation is;
A regular tessellation is a highly symmetric, edge-to-edge tiling made up of regular polygons, all of the same shape. There are only three regular tessellations: those made up of equilateral triangles, squares, or regular hexagons.
This implies that it could either have 3 sides(triangle), four sides(square), six sides(hexagon).
From the given options we can clearly see that 3 sides is the only available option.
ANSWER: Option B
LanaCharles almn on the coordinate plane what is the perimeter of a ALMN round to the nearest unit
The Solution:
Given the graph below:
We are required to find the perimeter of the triangle LMN rounded to the nearest unit.
Step 1:
Find the distance LM, where L(-3,2) and M(3,5)
By the formula for distance between two points, we have
[tex]LM=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Where,
[tex]\begin{gathered} x_1=-3 \\ y_1=2 \\ x_2=3 \\ y_2=5 \end{gathered}[/tex]Substituting, we get
[tex]LM=\sqrt[]{(3--3)^2+(5-2)^2}=\text{ }\sqrt[]{6^2+7^2}=\text{ }\sqrt[]{85}=9.2195[/tex]Step 2:
Find the distance LN:
[tex]LN=12[/tex]Step 3:
Find the distance MN, where M(3,5) and N(9,2)
[tex]MN=\sqrt[]{(9-3)^2+(2-5)^2}=\text{ }\sqrt[]{6^2+(-3)^2}=\text{ }\sqrt[]{45}=6.7082[/tex]Step 4:
The perimeter is:
[tex]\text{ Perimeter=LM+MN+LN=9.2195+6.7082+12=27.9277}\approx28\text{ units}[/tex]Therefore, the correct answer is 28 units.
The equation of a curve is y=f(x)
The vertex of the curve is at (2,-3)
Write down the coordinates of the vertex of the curve with the equation
a) f(x)+5
b) -f(x)
The rigid transformations of the vertex of the curve are listed below:
(i) (2, 2).
(ii) (2, 3).
How to determine the coordinates of the vertex
In this problem we find the value of a point of a curve f(x), this point (the vertex) must be transformed by using rigid transformations. There are two cases: (i) Vertical translation, (ii) Reflection about the x-axis. The formulas for each case are described below:
Vertical translation
P'(x, y) = P(x, y) + (0, k)
Reflection about the x-axis
P'(x, y) = P(x, y) + (0, - 2 · p)
Where p is the y-coordinate of point P.
If we know that P(x, y) = (2, - 3), then the coordinates for each case are, respectively:
Vertical translation
P'(x, y) = (2, - 3) + (0, 5)
P'(x, y) = (2, 2)
Reflection about the x-axis
P'(x, y) = (2, - 3) + (0, 6)
P'(x, y) = (2, 3)
The transformations of the vertex of the curve are (i) (2, 2) and (ii) (2, 3).
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Which of the following statements are equivalent to "Some politicians are not crooked"? Select all that apply:All politicians are crooked.Some politicians are crooked.Not all politicians are crooked.All politicians are not crooked.
SOLUTION
The given statement is
"Some politicians are not crooked"
The equivalent statement is
Not all politicians are crooked
And
All politicians are not crooked.
The equivalent statement is
Not all politicians are crooked
And
All politicians are not crooked.
Answer: Not all politicians are crooked
It is equivalent to saying that "Some politicians are not crooked". Both are implying that not every politician is crooked and some of them are good.
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Write the complex number in polar form with argument theta between 0 and 2 pie
The answer in polar form:
[tex]=\text{ 7}\sqrt[]{2}\lbrack cos(tan^{-1}(-1)\text{ + isin}(tan^{-1}(-1)\text{ \rbrack}[/tex]Solve |x4|+6 = 13.
O A. x
11 and x = -11
OB. x = 11 and x = -3
OC. x = -11 and x = -3
OD. x = -11 and x = 3
Answer:
B
Step-by-step explanation:
| x - 4 | + 6 = 13
x - 4 + 6 = 13
x = 11
Or
4 - x + 6 = 13
x = -3
Which of the following is the position vector for a vector that has an initial point of (10, 2) andterminal point of (-8, -7)?
initial point = (10,2)
Terminal point = (-8,-7)
subtract the coordinates of the initial point from the coordinates of the terminal point
Position vector = ( -8-10 , -7-2 ) = <-18,-9>
What is the measure of a?
Answer:
Explanation:
Answer:
<A=32°
Explanation:
<BEC = 90° because it has the red half square and we know that <DCE = 42°. <ACB= 2x because <ACD and <DCB both =x. The equation we would set up is
90+(42+x) +2x=180
We get x=16.
Since <ACB = 2x we multiple 16 by 2
16*2=32
So <ACB =32°
What is the answer to this question?
The reflection of a point P over a line as in the P' if the line m is the "perpendicular bisector" of line PP'. Point P' is called the "image" of point P.
What is termed as the reflection of the point?A reflection point represents when a figure is built around a single point recognized as point of reflection or the figure's center. On the other side, per each point in the graph, some other point is observed directly opposite it.For the given question.
Line m is the line along which reflection of point P is taken.
Then, line m is called the "perpendicular bisector" of line PP'.
P is the object and P' will be the image of the point P.
Thus, the complete definition of the reflection is given as-
The reflection of a point P over a line as in the P' if the line m is the "perpendicular bisector" of line PP'. Point P' is called the "image" of point P.
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Determine if the ordered pair provided is a solution to the linear system:3x+7y=1 and 2x+4y=0; (2,3) The system has no solution as the lines are parallel. The ordered pair (2, 3) is not a solution to the system. Yes, (2, 3) is a solution to the system. The system has no solution as the lines are perpendicular.
Answer:
The correct answer is:
The ordered pair (2, 3) is not a solution to the system.
Explanation:
The system given is:
[tex]\begin{cases}3x+7y={1} \\ 2x+4y={0}\end{cases}[/tex]If (2, 3) is a solution of the system, then replacing x = 2 and y = 3 on both equations should give a correct result and the same on both equatiions.
In the first equation;
[tex]\begin{gathered} 3\cdot2+7\cdot3=1 \\ 6+21=1 \\ 27=1 \end{gathered}[/tex]We can see that this result is not true, as 27 is not equal to 1.
In the second equation:
[tex]\begin{gathered} 2\cdot2+4\cdot3=0 \\ 4+12=0 \\ 16=0 \end{gathered}[/tex]Once again, a false result.
To see in the system has equations, let's solve for x in the second equation:
[tex]\begin{gathered} 2x+4y=0 \\ 2x=-4y \\ x=-2y \end{gathered}[/tex]Now, we can use substitution in the first equation:
[tex]3(-2y)+7y=1[/tex]And solve for y:
[tex]\begin{gathered} -6y+7y=1 \\ y=1 \end{gathered}[/tex]Now, we can find the value of x:
[tex]x=-2\cdot1=-2[/tex]The solution to the system is (-2, 1)
Thus, the correct option is "The ordered pair (2, 3) is not a solution to the system"
HELP PLEASEEEEE!!!!!!
-1 3/4, 14/8, 1.125 and -0.875 correspond to points 1, 8, 6 and 4 respectively on the number line.
How can we match -1 3/4, 14/8, 1.125 and -0.875 on the number line?Looking at the number line, there are 8 divisions between two points e.g 0 to 1.
To know the value of 1 division, we divide the value of the distance between two points by the number of divisions:
= 1/8 = 0.125
To find the locations, we just divide the value of the locations with the value of 1 division:
-1 3/4 / 0.125 = -14 (Count 14 divisions to the left of 0) = point 1
14/8 / 0.125 = 14 (Count 14 divisions to the right of 0) = point 8
1.125/ 0.125 = 9 (Count 9 divisions to the right of 0) = point 6
-0.875 / 0.125 = -7 (Count 7 divisions to the left of 0) = point 4
Therefore, the positions of -1 3/4, 14/8, 1.125 and -0.875 on the number line are points 1, 8, 6 and 4 respectively.
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What is the value of p in the proportion below? 20/6 = p/12O 2 O 10O 40O 72
20/6 = p/12
cross-multiply
p x 6 = 20 x 12
6p = 240
divide both-side of the equation by 6
p = 240/6
p = 40
rag the red and blue dots along the x-axis and y-axis to graph 10x - 7y=40
We were given the equation:
[tex]10x-7y=40[/tex]We will proceed to graph this equation as shown below:
[tex]\begin{gathered} 10x-7y=40 \\ \text{Make ''y'' the subject of the equation, we have:} \\ \text{Subtract ''10x'' from both sides, we have:} \\ -7y=-10x+40 \\ \text{Divide through each term by ''-7'' to obtain the equation in terms of ''y'', we have:} \\ y=\frac{-10}{-7}x+\frac{40}{-7} \\ y=\frac{10}{7}x-\frac{40}{7}_{} \\ \\ y=\frac{10}{7}x-\frac{40}{7}_{} \\ when\colon x=-7 \\ y=\frac{10}{7}(-7)-\frac{40}{7} \\ y=-10-\frac{40}{7} \\ y=-\frac{110}{7} \\ \\ when\colon x=0 \\ y=\frac{10}{7}(0)-\frac{40}{7} \\ y=-\frac{40}{7} \\ \\ when\colon x=7 \\ y=\frac{10}{7}(7)-\frac{40}{7} \\ y=10-\frac{40}{7} \\ y=\frac{30}{7} \end{gathered}[/tex]We will proceed to plot these ordered pairs on a graph, we have:
Michael bought groceries and spent $46.85 before including the sales tax of 7%. What is the total purchase price after tax?
We are told that a 7% tax is applied to the original sales price, in order to determine the tax amount we just have to multiply the original price ($46.85) by the tax percentage (0.07 as 7% in decimal form), then we get:
Tax amount = 0.07×46.85 ≈ 3.28
By adding the tax amount to the original price we should get the final price, like this:
Total purchase price = 46.85 + 3.28 = 50.13
Then, the total purchase price after tax is $50.13
hi i'm stuck on diameter and radius and chord and the arc measure explanations. And i'm also stuck on this question
• Chord: ,a line segment connecting ,any two points, in a curve (circle).
,• Diameter: ,a chord passing ,through the center ,of the figure.
,• Radius: ,a line segment going ,from the center, to any point in the circumference.
The difference between them is that the chord is any two points touching the circumference, the diameter has to go through the center to any two points, and the radius goes from the center to just one point in the circumference.
Then, the line segment that meets the requirements of being the diameter in circle F is segment CD as it passes through the center.
The radius could be CF, DF, and EF. While a chord could be AB.
Answer: CD
If a girl has 7 skirts, 9 shirts, and 5 pairs of shoes, how many outfits canshe wear?
Okay, here we have a Combination Problem, we need just multiply to get the answer, of this mode:
[tex]C=7\cdot9\cdot5=315[/tex]She can wear 315 outfits.
Which graph shows the same linear equation shown in the table below?
I'm drawing now
_______________________
Option C
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. sin 16° = ___
We have round of to 100th place means up to 3 places
[tex]\sin (16\text{ degre}e)=0.27563[/tex]Now we will reduce the digit from right side upto 3 places
As last digit is 3 which is less than 5 so it will remove directly
[tex]\sin (16\text{ degr}e)=0.2756[/tex]Now the last digit is 6 which is greater than 5. So and is even so change we will simply remove this
[tex]\sin (16\text{ degre}e)=0.275[/tex]5/8-3/8 S = two minus S
The value of S in the expression 5/8-3/8 S = two minus S is 2 1/5.
How to illustrate the information?An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, this is illustrated thus:
5/8 - 3/8S = 2 -S
Collect like terms
-3/8S + S = 2 - 5/8
5/8S = 1 3/8
Divide
S= 1 3/8 ÷ 5/8
S = 11/8 × 8/5
S = 11/5
S = 2 1/5
This illustrates the concept of expression.
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What is 2 2/3 - 3/5? 7/154 4/152 1/15 1 2/5
Event A, Event B, and Event Care provided. Event A and Event B aremutually exclusive. Event A and Event C are not mutually exclusive.P(A) = 0.45P(B) = 0.30P(C) = 0.25What is the probability of the union of A and B?
Given data:
The probability of A is P(A)=0.45.
The probability of B is P(B)=0.30.
The expression for the mutually exclusive events is,
[tex]P(A\cap B)=0[/tex]The expression for the probability of A union B is,
[tex]\begin{gathered} P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ =0.45+0.30-0 \\ =0.75 \end{gathered}[/tex]Thus, the probability of (AUB) is 0.75.
Graph transformation of the following line given the transformation: g(x)= -f(x) -2
Transformation of a Function
We are given the function:
[tex]y=f(x)=\frac{2}{3}x+8[/tex]And it's required to find another function g(x) according to the transformation:
g(x) = -f(x) - 2
First, we calculate the negative of f(x):
[tex]-f(x)=-(\frac{2}{3}x+8)=-\frac{2}{3}x-8[/tex]And now we subtract 2 to find g(x):
[tex]g(x)=-\frac{2}{3}x-8-2=-\frac{2}{3}x-10[/tex]The equation above is in the slope-intercept form where the slope is m=-2/3 and the y-intercept = -10
Answer:
[tex]g(x)=-\frac{2}{3}x-10[/tex]Evaluate the function f(p) = p2 + 3p + 1 for p = -2.
The result of the function f(p) = [tex]p^2[/tex] + 3p + 1 for p = -2 is -1
The function is
f(p) = [tex]p^2[/tex] + 3p + 1
The function is the expression that represents the relationship between the one variable and another variable. If one variable is dependent variable then the another variable will be independent variable.
The values of p = -2
Substitute the value of p in the function and find the solution
f(p) = [tex]p^2[/tex] + 3p + 1
f(-2) = [tex](-2)^2[/tex] + 3×-2 + 1
f(-2) = 4 - 6 + 1
f(-2) = -1
Hence, the result of the function f(p) = [tex]p^2[/tex] + 3p + 1 for p = -2 is -1
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The Ruiz family took a summer trip.
In 4 days, they drove 1,600 miles. If they drove an equal
number of miles each day, how many miles did they drive
each day? Describe the basic fact you use to find your
answer and how many zeros you add from the dividend.
Answer:
400 miles each day
Step-by-step explanation:
You have 1600 miles divided into four days.
1600 / 4
We can use the basic fact that multiplying a number by ten simply means shifting everything to the left, for example 2 x 10 = 20, we just shifted 2 to the left and inserted a 0.
So for this problem, we can do the same. Divide 1600 by 100, or 10 x 10, then divide by 4.
1600/16 = 100
16/4 = 4.
Now, since we divided by ten twice before, we can get the right answer by multiplying by ten twice.
4 x 10 = 40
40 x 10 = 400
Mr. and Mrs. Tournas know that their son will attend a college, in 14 years, that they estimate to cost approximately $250,000How much should they deposit now if they assume that they can earn 8.5% compounded annually?
Compound interest formula:
[tex]A\text{ = }P(1+i)^n[/tex]where:
A is the final amount, here = $250,000
P is the principal amount
i is the interest rate per year (in decimal form), here = 0.085
n is the number of years invested, here = 14
Replacing into the equation and solving for P, we get:
[tex]250000=P(1+0.085)^{14}[/tex][tex]\frac{250000}{1.085^{14}}=P[/tex]
P = $79,785.5
Which postulate or theorem could you use to prove (triangle)XYZ = (triangle)ABC?Choose the correct answer below.AAS theoremSSS postulateASA postulateSAS postulate
From the given figures in the 2 triangles XYZ and ABC
mXZ = AC
m
Since we have two equal angles and the sides between them are equal, then
The 2 triangles are congruent using ASA postulate
The answer is C