V + F = E + 2
If V=12 and F=8 Find E:
We have to replace the values given of V and F IN THE EXPRESSION:
12 + 8 = E+2
Now, we simply have to solve for E:
12+8 -2 =E
18=E
E=18
Factor completely.
48-24x + 3x²
Answer:
3(4−x)²
Step-by-step explanation:
Answer:
3(4-x)^2
Step-by-step explanation:
factor
I’ve got 6 graphing questions today that I need help with please
For a given simultaneous equation,
The point at which both the lines intersect gives us the solution.
Thus,
the point A gives the solution of the system of equation.
Answer is A.
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
a = t over delta v.
m = StartFraction v subscript 1 - v subscript 2 Over x subscript 2 minus x subscript 1 EndFraction.
a =
m = StartFraction x subscript 2 minus x subscript 1 Over v subscript 1 - v subscript 2 EndFraction.
An equation which is most likely used to determine the acceleration from a velocity vs. time graph is: B. m = (y₂ - y₁) / (x₂ - x₁).
What is a velocity vs. time graph?A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.
In Mathematics, the velocity of a physical object is plotted on the horizontal axis (y-coordinate) time is while plotted on the vertical axis (x-coordinate) of a velocity vs. time graph.
Mathematically, the acceleration of a physical object on a velocity vs. time graph can be calculated by determining the rate of change (slope) as modeled by this formula:
Acceleration, m = change in velocity/change in time
Acceleration, m = (y₂ - y₁) / (x₂ - x₁).
Where:
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Complete Question:
Which equation is most likely used to determine the acceleration from a velocity vs. time graph?
answer choices
A. a = t/delta v
B. m = (y₂ - y₁) / (x₂ - x₁)
C. a = delta v/t
D. m = (x₂ - x₁) / (y₂ - y₁)
Answer:
B. m = StartFraction v subscript 1 - v subscript 2 Over x subscript 2 minus x subscript 1 EndFraction.
Step-by-step explanation:
Got 100% on the test. Y'all have a good day! :D
stigma notation stuff
The rectangular floor of a classroom is 36 feet in length and 22 feet in width. a scale drawing of the floor has a length of 18 inches. what is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of the floor in the scale drawing is 58 inches.
Define Perimeter of the rectangle.The whole distance that the sides or limits of a rectangle cover is known as its perimeter. Since a rectangle has four sides, its perimeter will be equal to the sum of those four sides. Given that the perimeter is a linear measurement, the rectangle's perimeter will be expressed in meters, centimeters, inches, feet, etc.
The letter "p" stands for the perimeter, which is equal to twice the width plus twice the length of the rectangle.
Given, the length of rectangular classroom is 36 feet
and the width is 22 feet.
The scale drawing has a length of 18 inches.
Here we can see that two different units are used.
So, we need to convert feet to inches.
1 foot = 12 inches
Now we will convert the length in inches,
36 feet = 36*12 inches
= 432 inches
Now we will convert the width in inches,
22 feet = 22*12
= 264 inches
Now, we will calculate by how many times the length has been scaled down:
[tex]\frac{432}{18} = 24[/tex]
So, the length has been scaled down to 24 times.
Now, we will scale down the width 24 times:
[tex]\frac{264}{24} = 11[/tex]
So, the width of the scale drawing is 11 inches.
Now, we will find the perimeter of the scale drawing:
Perimeter = 2(scale down length + scale down width)
= 2(18+11)
=2*29
=58 inches
Therefore, the perimeter of the scale down drawing is 58 inches.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
100 Points + Brainliest if correct and well explained: The data in the table describes the preferred type of exercise of student athletes.
Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00
What is the conditional relative frequency that cycling is preferred by a female? Round your answer to two decimal places.
0.15
0.33
0.41
0.67
Answer:
0.33
Step-by-step explanation:
The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :
all females
all people preferring cycling
the way it was phrased I would say the reference is all females.
the conditional relative frequency is then
0.15 / 0.46 = 0.326=0.33(rounded)
Hence the conditional relative frequency that a female prefers running is 0.33
Does anyone know how to do this ???
Answer:
8) x = 6.5, 9) x = 7, 10) x = 13Step-by-step explanation:
We have similar figures given.
The ratio of corresponding sides of similar figures is same as per definition of similarity.
Use this property and solve each question.
Question 8HG/DC = FG/BCx/13 = 13/26x/13 = 1/2x = 13/2x = 6.5Question 9WY/SU = YX/UT4/(x + 5) = 3/94/(x + 5) = 1/3x + 5 = 4*3x + 5 = 12x = 7Question 10Considering x is positive, PS and MN are longer legs of right triangles.
PS/MN = ST/ML(x + 2)/10 = (x - 1)/810(x - 1) = 8(x + 2)10x - 10 = 8x + 1610x - 8x = 16 + 102x = 26x = 13u A store is having a sale where everything is 15% off. Which expression below does not represent the cost of an item in the store? Select all that apply85/100cc-0.15c15/100c0.85cc-0.85c
Given:
Percentage discount = 15%
Let's find the expression that does not represent the cost of an item in the store.
Let c represent the original cost of an item.
To find the c
[tex]undefined[/tex]Use inverse matrix to solve the linear system. Solve #19
19)
The given system of equations is,
[tex]\begin{gathered} 4x-3y=11 \\ 5x-2y=12 \end{gathered}[/tex]The above system of equations can be written in matrix form as,
[tex]\begin{bmatrix}{4} & {-3} & {} \\ {5} & {-2} & {} \\ {} & {} & \end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix}\text{ -----(1)}[/tex]Here,
[tex]A=\begin{bmatrix}{4} & {-3} & {} \\ {5} & {-2} & {} \\ {} & {} & \end{bmatrix},\text{ X=}\begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}\text{ },\text{ B=}\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix}[/tex]Therefore, equation (1) can be written as,
[tex]AX=B[/tex]Therefore,
[tex]X=A^{-1}B\text{ -------(2)}[/tex]Now, we need to calculate the inverse of A.
(Note:
Let a 2x2 matrix P is of the form given below.
[tex]P=\begin{bmatrix}{a} & {b} & {} \\ {c} & {d} & {} \\ {} & {} & {}\end{bmatrix}[/tex]The inverse of the matrix P is,
[tex]\begin{gathered} P^{-1}=\frac{1}{|P|}\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{ad-bc}\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex])
Similar to the inverse matrix of 2x2 matrix P, the inverse matrix of A can be written as,
[tex]\begin{gathered} A^{-1}=\frac{1}{4\times(-2)-(-3)\times5}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{-8+15}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{7}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-2}{7}} & {\frac{3}{7}} & {} \\ {\frac{-5}{7}} & {\frac{4}{7}} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex]Now, put the values in equation (2) to find the solution to the system of equations.
[tex]\begin{gathered} X=A^{-1^{}}B \\ \begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{\frac{-2}{7}} & {\frac{3}{7}} & {} \\ {\frac{-5}{7}} & {\frac{4}{7}} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix} \\ =\begin{bmatrix}{\frac{-2}{7}\times11+\frac{3}{7}\times12} & {} & {} \\ {\frac{-5}{7}\times11+\frac{4}{7}\times12} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-22}{7}+\frac{36}{7}} & {} & {} \\ {\frac{-55}{7}+\frac{48}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-22+36}{7}} & {} & {} \\ {\frac{-55+48}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{14}{7}} & {} & {} \\ {\frac{-7}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{2} & {} & {} \\ {-1} & & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex]Therefore, the solution to the system of equations using inverse matrix is x=2 and y=-1.
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Which of the following scenarios describes independent events from disjoint sets?1) A bag contains orange, yellow, and purple marbles. You randomly draw 2 marbles at the same time and want to know the probability that either marbleis orange.II) You roll a number cube and spin a spinner. You want to know the probability of rolling a 3 and spinning a B.ill) Lunch includes a choice of salad and a choice of vegetables. You want to know the probability of choosing a chef salad and asparagus as yourvegetableIV) A math class has 30 students. The teacher chooses 2 students at random. You want to know the probability that one of the two students will befemale
Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.
Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.
Hence, the answer is I only.A large glass holds 5/6 cup of water spouse you have 8 cups of water you want to fill both glasses how many of each size glass can you fill
PLEASEE HURRY
The number of large glasses that will be filled is 10 glasses.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Given that the large glass holds 5/6 cup of water and you have 8 cups of water. The number of glasses filled will be:
= 8 ÷ 5/6
= 8 × 6/5
= 48/5
= 9.6
= 10 glasses approximately
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Which expressions are equivalent to the one below? Check all that apply.log(103)A.3 • log 10B.1C.3 • 10D.3
We are given log ( 10^3)
We can use one of the properties of logs
log u^n = n log u
Rewriting log ( 10^3) using this property
log ( 10^3) = 3 log 10
log has an implied base of 10
log 10 = 1
3 log 10 = 3 *1 =3
The two correct choices are
A. 3 * log 10
D. 3
What is the value of -175-15- (-204)?
O-394
O-14
O 14
O 29
The value of -175-15- (-204) is 14
Mathematical operations, Addition, and Subtraction:We learn to add and subtract two or more integers or any other mathematical values using the two basic arithmetic operations of addition and subtraction. The plus sign (+) stands for addition, whereas the negative sign (-) stands for subtraction (minus sign). The opposite of addition is subtraction and vice versa.
The following are rules for addition and subtraction:
=> [tex]+ \times + = +[/tex]
=> [tex]- \times - = +[/tex]
=> [tex]+ \times - = -[/tex]
=> [tex]- \times + = -[/tex]
Here we have
-175-15- (-204)
=> - 175 - 15 + 204
=> - 190 + 204
=> 14
Therefore,
The value of -175-15- (-204) is 14
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In the figure below, when the sund angle of elevation is 50 degrees, the tree casts a shadow 80 feet long. which can be used to find the height of the tree?
A
1) In this picture, we can see clearly a triangle with an adjacent leg to an angle of 50º and an opposite leg (that tree).
2) So the trigonometric ratio to be used is the one that relates both legs:
[tex]\begin{gathered} \tan (50)=\frac{opposite\text{ leg}}{\text{adjacent}} \\ \tan (50)\text{ =}\frac{x}{80} \end{gathered}[/tex]3) Hence, the answer is A
Which scatterplot shows the weakest negative linear correlation?
On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together in a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together in a line and decrease.
The scatterplot shows the weakest negative linear correlation is On a graph points are grouped closely together and increase. Option A.
The scatterplot showing the weakest negative linear correlation is the following scatterplot. The dots are scattered along the decreasing trend line. The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that an increase in one variable tends to increase the other variable.
A negative correlation means that as one variable increases the other tends to decrease. Plotted points indicate correlations between variables if any. The scatterplot above is an example of a weak negative correlation. In this graph, y values decrease as x values increase, but the pattern does not resemble a straight line.
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I’m so confused can someone help me solve this step by step?
Bases on the red line that represents the angle, we can see that:
[tex]\angle VRS\cong\angle RUT[/tex][tex]\angle SVR\cong\angle UTR[/tex]Therefore, they are similar by AA.
PLEASE HELP ITS URGENT
Solve for the roots in simplest form using the quadratic formula:
x²-16x = -100
Answer:
[tex] \rm x = 8 \pm 6i [/tex]
Step-by-step explanation:
Given equation: x² - 16x = -100
x² - 16x + 100 = 0
By comparing given equation with standard quadratic equation i.e. ax² + bx + c = 0 we get:
a = 1
b = -16
c = 100
Quadratic formula:
[tex] \boxed{ \rm x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} } [/tex]
Now, substituting the values in the quadratic formula:
[tex] \rm \implies x = \dfrac{ - ( - 16) \pm \sqrt{ {( - 16)}^{2} - 4(1)( 100) } }{2(1)} \\ \\ \rm \implies x = \dfrac{ 16 \pm \sqrt{ 256 - 400} }{2} \\ \\ \rm \implies x = \dfrac{ 16 \pm \sqrt{-144 } }{2} \\ \\ \rm \implies x = \dfrac{ 16 \pm 12i }{2} \\ \\ \rm \implies x = 8 \pm 6i [/tex]
Answer:
x has no real solutions.
x = 8 + 6i, x = 8 - 6i
Step-by-step explanation:
First, move the all the terms to one side of the equation.
x^2 - 16x + 100 = -100 + 100
x^2 - 16x + 100 = 0
Then, based on our knowledge of the standard form of a quadratic equation: ax^2 + by + c = 0, we can plug the coefficients in front of the variables into the formula, which looks like [tex]x=\frac{-b+or-\sqrt{b^2-4ac} }{2a}[/tex].
Our a here is 1,
The b is -16,
The c is 100.
plugging it in:
[tex]\frac{-(-16)+or-\sqrt{(-16)^2-4*1*100} }{2*1}[/tex]
simplifies down to:
16/2 + or - (√(256 - 400))/2
= 8 + or - √(-36)
Here, we have a negative square root, meaning there will be no roots for this equation in the real number system.
If you include imaginary/complex numbers, this equation will have roots.
x = 8 + or - √(-36)
x = 8 + or - 6√(-1)
x = 8 + or - 6i
so the final answer:
x = 8 + 6i, x = 8 - 6i
Give Triangle QRS ~= Triangle TUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV
1) Since these triangles are congruent, then we can write out the following for congruent triangles have congruent sides:
[tex]\begin{gathered} QS=TV \\ 3v+2=7v-6 \\ 3v-7v=-6-2 \\ -4v=-8 \\ 4v=8 \\ \frac{4v}{4}=\frac{8}{4} \\ v=2 \end{gathered}[/tex]2) Still based on that principle, we can plug v=2 into any of those formulas to get the measure of QS and TV. So let's pick the simpler one:
[tex]\begin{gathered} QS=3v+2 \\ QS=3(2)+2 \\ QS=6+2 \\ QS=8 \\ --- \\ TV=7(2)-6 \\ TV=14-6 \\ TV=8 \end{gathered}[/tex]As we can see these segments are congruent.
which table is a probability distribution table?
Answer:
Table 1 is the only table which represents PROBABILITY DISTRIBUTION table.
Step-by-step explanation:
Graph the polygon with the given vertices and its image after a reflection in the given line.
J(2, 4), K(-4,-2), L( − 1, 0); y = 1
The coordinates of the image after reflection over line y = 1 is
preimage Image
J(2, 4 J' (2. -2)
K(-4,-2) K' (-4. 4)
L( − 1, 0) L' (-1, 2)
How to fine the coordinates of the reflected imageReflection is one of the movements in transformation that involve creation of mirror image
The reflection to be done is over line y = 1
Transformation rule for reflection over line y at origin (0, 0)) is
(x, y) → (x, -y)
However, reflection over line y = 1 which is (0, 1) is done as follows
J(2, 4) ⇒ (2, 4 - 1) ⇒ (2, 3) ⇒ (2, 1 - 3) → J' (2, -2)
from 4 to 1 = 4 - 1 = 3 units
reflecting 3 units over y = 1
1 - 3 = -2
J' (2, -2)
K(-4,-2) ⇒ (-4, -2 - 1) ⇒ (-4, -3) ⇒ (-4, 1 - -3) ⇒ K' (-4, 4)
from -2 to 1 = -2 - 1 = -3 units
reflecting -3 units over y = 1
1 - -3 = 4
K' (-4, 4)
L (-1, 0) ⇒ (-1, 0 - 1) ⇒ (-1, -1) ⇒ (-1, 1 - - 1) ⇒ L' (-1, 2')
from 0 to 1 = 0 - 1 = -1 unit
reflecting -1 unit over y = 1
1 - -1 = 2
L' (-1, 2)
see graph for more information
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The values of y vary directly with x, and y=425 when x=8.5 . What is the value of y when x=12 ?
The value of y when x=12 is 600
The values of y vary directly with x
y α x
y = kx
where k is the proportationality constant
The values of y=425 when x=8.5
y = kx
425 = k (8.5)
k = 50
We need to find the value of y when x=12
y = kx
y = 50 x 12
y = 600
Therefore, the value of y when x=12 is 600
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I really need help solving this, struggling with it this is a problem from my ACT prep guide It is trigonometry
Solution
For this case we can do the following:
[tex]\frac{\tan(-\frac{2\pi}{3})}{\sin(\frac{7\pi}{4})}-\sec (-\pi)=\frac{-\sqrt[]{3}}{\frac{\sqrt[]{2}}{2}}-(-1)=\frac{2\sqrt[]{3}}{\sqrt[]{2}}+1=-\sqrt[]{2}\cdot\sqrt[]{3}+1=-\sqrt[]{6}+1[/tex]Mathew and his 3 siblings are weeding a flower bed with an area of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed. write as a fraccion and whole number.
Data:
Mark and his 3 siblings: 4 persons
Area of the flower bed: 9 square yards
Job equally.
Divide the total area into the number of persons:
[tex]\frac{9^{}}{4}=2.25[/tex]Which of the following equations have odd products? Select all that apply.
A.4x3=?
B.6x8=?
C.3x7=?
D.3x9=?
E.1x9=?
c, d, and e. this is because c equals 21, d equals 27, and e equals 9
Cecil started at the beginning again and walked 6 1/2 feet ,backed up 1 foot
Answer: 5 1/2 feet
Step-by-step explanation: 6 1/2ft - 1ft = 5 feet
Good Question! Jk
find the equation of this line.
Answer:
[tex]y=-\frac{1}{2} +1[/tex]
Step-by-step explanation:
We have to choose two points in the graph:
P₁ = (0, 1) → x₁ = 0 & y₁ = 1
P₂ = (2, 0) → x₂ = 2 & y₂ = 0
Now any of those point can be the P₀ I'll choose P₁ as P₀
P₀ = (0, 1) → x₀ = 0 & y₀ = 1
[tex]y - y_o=\frac{y_2-y_1}{x_2-x_1}(x-x_0)\\ \\y-1 = \frac{0-1}{2-0}(x-0)\\ \\y-1=\frac{-1}{2}(x) \\\\y-1=-\frac{1}{2}x\\ \\y=-\frac{1}{2}x+1[/tex]
what is the converted fraction of 110/17
Answer:
6 8/17
Step-by-step explanation:
17 x 6 is 102 so that can go into 110
Then you do 110-102 to find how many are left over 110-102= 8 so there are 8 left over so that goes into the numerator so the answer is 6 8/17 The denominator stays the same unless you can simply but in this case you can’t.
For the function g(x)=32/x+3, find (g^-1o g) (5)
The value of the composite function is found as 68/5.
What is meant as the inverse of the function?An inverse function is one that reverses the action of another function. A function g seems to be the inverse of a function f if and only if y=f(x) and x=g (y).The function is given as;
g(x) = 32/(x+3)
Write the function as 'y'
y = 32/(x+3)
Replace the value of x with y.
x = 32/(y+3)
Solve for y.
x(y + 3) = 32
xy = 32 - 3x
y = (32 - 3x)/x
Thus, g⁻¹ (x) = (32 - 3x)/x is the inverse of the function.
Now, find the value composite function; (g⁻¹ o g) (5).
(g⁻¹ o g) (5) = (32 - 3x)/x . 32/(x+3)
Put x = 5
(g⁻¹ o g) (5) = (32 - 15)/5 . 32/(5+3)
(g⁻¹ o g) (5) = 17×4/5
(g⁻¹ o g) (5) = 68/5
Thus, the value of the composite function is found as 68/5.
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