Sharee and her two sisters ate 3 /5 of a pizza. How much of the pizza did each girl have? A) 1 /3 B) 1/ 5 C) 2 /15 D) 3 /10
Answer:
B) 1/ 5
Step-by-step explanation:
Number of persons = Sharee and her two sisters = 3 persons
Quantity of pizza eaten = 3/5
Each person ate:
3 persons = 3/5 pizza
1 person = x pizza
Cross Multiply
3 × x = 3/5 × 1
x = 3/5 × 1/3
x = 3/5 ÷ 3
x = 3/5 × 1/3
x = 1/5
Hence, each person ate 1/5 pizza.
Derek's school is having a concert. Derek bought 6 student
tickets for $5 each. He bought 4 adults tickets for $10 each.
The expression 5s + 10a represents the cost of buying s
student tickets and a adult tickets. How much did Derek pay
for the tickets?
Which of the answer choices shows the following numbers arranged from least to greatest?
8.1
180
145
7.2
-5
-V24
Select one:
0-124, -5, 7.2, 8.1, 545, 580
O-5, -124, 545, 7.2, 8.1, 880
0-5, 7.2, 8.1, -124, 545, 580
O-124,-5, 545, 580, 7.2, 8.1
Answer:
1) -124, -5, 7.2, 8.1, 545, 580
Answer:
-124, -5, 7. 2, 8. 1, 545, 580
Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has eigenvalues dı = 4 and A2 = 6, in that order. ao(t) is always the function et. Choose the correct equation for a1(t) da1О (а) 6a1 + e4t a1(0) = 1 O (b) dt da1 : 4a1 + e4t P (g) da1 a1(0) = 1 O (c) dt -4a1 + ett a1(0) = 0 da1 O (d) dt 4a1 + et a1(0) = 0 da1 O (e) : 6a1 + e4t a1(0) = 0 dt da1 O (f) dt — 4а, + e# a,(0) — 1
In that order. ao(t) is always the function is \($$m_1=A-2 I $$\).
What is function ?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
given: \($\quad d_1=4 \quad$\) and \($A_2=6$\)
\($$m_0=\Sigma=\left[\begin{array}{cc}1 & 0 \\0 & 1\end{array}\right]$$\)
By putzes method
\($$\text { matrix } m_1=A-N_1 p_0=A-d_1 m_0$$\)
here \($r_1=2, m_0=I$\)
\($$m_1=A-2 I $$\)
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PLEASE HELP!!!!!
The figure above shows the periodic table. What does X represent?
Answer:
C. Elements are listed on the periodic table
Step-by-step explanation:
Given CB || ED,;CB=ED prove CBF= EDF using isometric ridged transformation outline the necessary transformation to prove CBF = EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements
The given triangle is rotated about 180 degrees and as such, we can say that the triangle CBF is congruent to the triangle EDF.
How to prove congruent angles?
From the attached image, we see that CB is parallel to ED. We also see that the transversal lines are BD and CE.
The point E will become the image of point C by a rotation of 180° around the point F.
Now, the point D will be the image of point B by a rotation of 180° around the point F.
Rotation is a type of transformation and as such ΔEDF will be the image of ΔCBF.
Therefore we can conclude that ΔCBF ≅ ΔEDF
The second way to prove this congruency is as follows;
∠B = ∠D (Due to the fact that alternate angles are congruent)
∠C = ∠E (Due to the fact that alternate angles are congruent)
Now, since CB ≅ ED , then it means that ΔCBF ≅ ΔEDF by SAS congruency postulate
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The polynomial −2x3 − x2 + 13x in the last line is the result of
dividing x2 + 3x + 1 by 3x2 and bringing
down 13x.
subtracting 3x4 + 9x3 + 3x2 from the
dividend and bringing down 13x .
multiplying 3x2 by x2 + 3x + 1.
Answer:
The term 3x2 in the quotient is the result of dividing 3x4 by....... x²
The polynomial −2x3 − x2 + 13x in the last line is the result of......... subtracting 3x4 + 9x3 + 3x2 from the dividend and bringing down 13x .
Complete the division.
The quotient is 3x2 + -2 x + 5
Step-by-step explanation:
All 3 answers
Answer:
That is the answer.
Step-by-step explanation:
I do not understand this and could use help it needs the work shown
Answer:
a = 9
Step-by-step explanation:
The given trinomial is :
\(x^2-6x+\_\_\__\)
let the blank is a.
So, we need to find the value of a so that it results in a perfect square trinomial.
We know that, \((m-n)^2=m^2-2mn+n^2\)
So,
\(x^2-6x+a=x^2-2(1)(3)+3^2\\=(x-3)^2\)
So, the value of a is 9. If a is 9, then only it would be a perfect square trinomial.
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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what is the circumference of a circle with a radius of 6cm
The circumferance of a circle with radius of 6cm is 37.68cm
To find:
Circumferance of a circle
Given:
Radius of circle is 6cm
Solution:
Circumference is similar to perimeter as it is the total length required to draw a circle.
Let c be the perimeter.
c = 2πr
or
c = πd
This depends on knowing the radius (r) or diameter (d).
For example, let's calculate it manually.
If r = 6 cm, the circumference in π is c = 2π(6) = 12π cm.
When expressed numerically, it is 37.7 cm after the decimal point is rounded off.
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Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would
it take to travel 297 miles?
Answer:
11 hours
Step-by-step explanation:
on delta math
Which of the following sets of ordered pairs represents a function? PLEASE HELP
The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).
{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}
In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.
{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.
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Don Richie goes bowling. • He has $25.00 to spend. • He spends $5.00 to rent shoes • He spends $2.50 for each game he bowls
Write and solve an equation to show how many games Don Richie can bowl.
Answer:
Let x be the number of games Don can bowl.
We can write the equation as:
25 - 5 - 2.5x = 0
This equation represents the total amount of money Don has, minus the cost of renting shoes, minus the cost of each game he bowls, which should equal zero if he wants to spend all of his money.
Solving for x, we get:
25 - 5 - 2.5x = 0
2.5x = 20
x = 8
Don can bowl 8 games.
Step-by-step explanation:
Hope this helps (:
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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At Midland Elementary, there are 22 students in each of seven fourth- grade classes. How many students are in fourth-grade at Midland?
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely, and x is the value of the number on the piece of paper, what is P(x < 6)
Answer:
10
Step-by-step explanation:
The value of P(x<6) is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.
So, P(x<6)
= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)
= 1/10 + 1/10+ 1/10 + 1/10 + 1/10
= 5/10
= 1/2
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Which shows one way to determine the factors of x3 - 12x7 - 2x + 24 by grouping?
The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:
Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:
(x^3 - 12x^2) + (-2x + 24)
Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:
x^2(x - 12) - 2(x - 12)
Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:
(x - 12)(x^2 - 2)
Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
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please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the length of the rectangle.
Answer:
Step-by-step explanation:
Please!!!!!! I need whole process
Answer:
This is the whole process I guess
Find the midpoint of the segment with the given endpoints.
(6,-6) and (1,2)
The midpoint of the line segment of the endpoints (6,-6) and (1,2) is given as:
(3½,-1)
What is the midpoint of a line segment in geometry?
The midpoint of a line segment is simply the centre point of a give segment that cuts or divides it into two congruent segments.
That is for example, if there are two points with coordinates (x1,y1) and (x2,y2), then their midpoint will be ; [(x1+x2)÷2,(y1+y2)÷2]
From the given question!
x1=6, x2=1 and y1=-6,y2=2
Thus, the midpoint is derived as;
[(6+1)÷2,(-6+2)÷2]
[(7)÷2,(-4)÷2]
(3½,-1).
Find the exact values of the six trigonometric functions of the angle.
1395°
sin 1395°
cos 1395°
tan 1395°
Answer:
\(\sin(1395)=-\frac{\sqrt 2}{2}\\\cos(1395)=\frac{\sqrt 2}{2}\\\tan(1395)=-1\)
Step-by-step explanation:
First, instead of doing 1395, let's find its coterminal angles. We can do so by subtracting 360 until we reach a solvable range. So:
\(1395-360=1035\)
This is still too high, continue to subtract:
\(1035-360=675\\675-360=315\\315-360=-45\)
So, instead of 1395, we can use just -45.
So, evaluate each trig function for -45:
1)
\(\sin(1395)=\sin(-45)\)
Remember that we can move the negative inside of the sine outside. So:
\(=-\sin(45)\)
Remember the sine of 45 from the unit circle:
\(=-\frac{\sqrt2}{2}\)
2)
\(\cos(1395)=\cos(-45)\)
Remember that we can ignore the negative inside of a cosine function. So:
\(=\cos(45)\)
Evaluate using the unit circle:
\(=\frac{\sqrt 2}{2}\)
Now, remember that tangent is sine over cosine. So: "
\(\tan(1395)=\tan(-45)=\frac{\sin(-45)}{\cos(-45)}\)
We already know them. Substitute:
\(=\frac{-\frac{\sqrt 2}{2}}{\frac{\sqrt 2}{2}}\)
Simplify:
\(=-1\)
And we're done!
Write an equation for a line perpendicular to y=-4x-1 and passing through the point (-4,-3). Write in y=mx+b form
(12sin(pi/2x)*lnx)/((x³+5)(x-1))
lim as x approaches 1
The limit of the given function as x approaches 1 is 0.
To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:
1. Begin by substituting x = 1 into the numerator:
\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)
2. Now, substitute x = 1 into the denominator:
(1³ + 5)(1 - 1) = 6(0) = 0
3. Finally, divide the numerator by the denominator:
0/0
The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:
4. Take the derivative of the numerator:
\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)
5. Take the derivative of the denominator:
\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)
6. Substitute x = 1 into the derivatives:
Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)
Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6
7. Now, reevaluate the limit using the derivatives:
lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)
= 0 / 6
= 0
Therefore, the limit of the given function as x approaches 1 is 0.
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8 1/3 in 10 minutes
find unit rate
Pls help me and answer the question plss its maths
the question goes like this.
1) The length of a rectangle is twice its breadth. If the area of the rectangle is 162cm², Calculate the breadth of the rectangle.
I promise to be good on brainly and any one who answer correctly will be marked brainliest i promise pls answer with full working. I promise to answer any question anybody asks
Answer:
the breadth of the rectangle is 9 cms
Step-by-step explanation:
Area = length x Breadth
so if length is = to Breadth x 2 then 9 x 2 is 18
18 x 9 = 162
what is the solution to the equation 4x-2=18
Answer:
x=5
Step-by-step explanation:
4x-2=18 Isolate the variable
+2 +2
4x=20 Divide:
x=5
Check: 4(5)-2=18
20-2=18
18=18
Hope this helps :)
Answer:
x = 5 so its 4x5-2=18
Step-by-step explanation:
Jonathan ran A distance of 2.5 km distance is equivalent to 2.5 x 10^6 millimeters. how is this number of millimeters written in standard notation
Answer:
Step-by-step explanation:
J because you mutlyplay 2.5 by 10'6
On a bicycle, Reshanda rides for 4 hours and is 30 miles from her house. After riding for 11 hours, she is 79 miles away. What is Reshanda's average rate over the last 7 hours of her trip?
Based on the number of miles that Reshanda rode on her bicycle from her house, her average rate over the last 7 hours of the trip was 7 miles per hour
How to find the average rate?The average rate shows the speed that a person was going over a period of time such that they were able to cover a certain distance, in that period of time.
First, find the number of miles that Reshanda rode in the last 7 hours of her trip on the bicycle:
= Number of miles after 11 hours - Number of miles after 4 hours
= 79 miles - 30 miles
= 49 miles
Reshanda was able to ride for 49 miles in the last 7 hours so her average rate was:
= Distance / Time
= Number of miles ridden / Time ridden
= 49 / 7
= 7 miles per hour
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Factorise :
3x² -5x + 6
Answer:
The expression is not factorable with rational numbers.
Step-by-step explanation: