I'm confused can u tell me the question in comments
Solve the system of two linear inequalities graphically2x + 7y < 141x 2-3Step 1 of 3: Graph the solution set of the first linear inequalityKeypadKeyboard ShortcutsAnswerThe line will be drawn once all required data is prouded and will update whenever a value is updated. The regions will be added once the line is drawn.Enable Zoom PanChoose the type of boundary line:Solid (-) O Dashed (-)Enter two points on the boundary line:10Select the region you wish to be shaded:
The system of inequalities to be graphed is given to be:
\(\begin{gathered} 2x+7y<14 \\ x\ge-3 \end{gathered}\)The first inequality can be written for y in terms of x:
\(\begin{gathered} y<\frac{14}{7}-\frac{2}{7}x \\ y<2-\frac{2}{7}x \end{gathered}\)The following steps can be followed to plot the graph:
1) Plot the graph as you would a linear equation by getting the x and y-intercepts and graphing.
2) The type of line is dependent on the type of inequality. Strictly greater than or less than inequalities will be drawn using dotted lines.
3) The region to be shaded is dependent on the direction of the inequality. If we're considering y, we shade below the graph if y is "less than" and above if y is "greater than".
For the first inequality, the points to be plotted are gotten to be:
\(\begin{gathered} At\text{ }x=0: \\ y=2 \\ At\text{ }y=0: \\ 0=2-\frac{2}{7}x \\ \frac{2x}{7}=2 \\ x=7 \end{gathered}\)Therefore, the points to be plotted are (0, 2) and (7, 0).
The line will be dotted because the inequality is strictly less than.
The region to be shaded is below the graph.
The graph is shown below:
ann, bob and carl share £480 in the ratio 1:4:3 how much should each of them receive?
1:4:3 means Ann gets 1 portion, Bob gets 4 portions, and Carl get 3 portions. In total, there are 8 portions.
£480/8 = £60
So one portion is £60.
You can now figure that:
Ann gets 1 x £60 = ______
Bob gets 4 x £60 = ______
Carl gets 3 x £60 = ______
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $15, and tickets cost $12.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
100
Step-by-step explanation:
There are 31 horses competing in a show, how many ways can the blue,red,and yellow ribbons be awarded
If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.
As per the question statement, 31 horses are competing in a show.
We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.
To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.
That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.
To solve this question, we just need to know the formula of permutation which goes as \([(nPr)=\frac{n!}{(n-r)!} ]\), i.e., we are to select an ordered set or "r" from a set of "n".
As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get
\((31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.\)
That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.
Probability: In mathematics, probability of an event is the extent to which it is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.Permutation: In mathematics, a permutation of a set is an arrangement of its members into a particular sequence, or if the set is already ordered, a rearrangement of its elements.To learn more about permutations, click on the link below.
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help pls, will mark brainliest !!!
Answer:
The answer is A.
Step-by-step explanation:
A has a common vertex but the angles are not adjacent.
: )
Answer:
A
Step-by-step explanation:
Find the measure of
Answer:
54+46=100
54 is the answer
the question is what is 4p - 9
Answer:
4xp-9
Step-by-step explanation:
In the problem 14 = 2 = 7, which number is the divisor?
Answer:
14 and 7 or 14 and 2
Step-by-step explanation:
fjdkdbejebejene
Answer:
2, assuming you meant 14÷2=7
Step-by-step explanation:
The product of 46 and a number added to the reciprocal of a number squared.
The expression for the given word phrase is
46M + M² + 2 + 1/M²
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = M
Reciprocal of M = 1/M
Now,
46 x (M + 1/M)²
Step 1:
46M + M² + 2 + 1/M²
Thus,
The expression is 46M + M² + 2 + 1/M²
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The dot plot shows the time trials of an experiment. Each number on the dot plot represents the amount of time, in seconds, it took to complete a trial. How many time trials were recorded during the experiment? Enter the answer in the box. time trials A number line ranging from 15 to 25 with two dots over 15, three dots over 17, two dots over 19, two dots over 20, one dot over 21, four dots over 23, one dot over 24, and three dots over 25.
There were 18 time trials recorded during the experiment.
To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.
According to the given information, we have:
- Two dots over 15
- Three dots over 17
- Two dots over 19
- Two dots over 20
- One dot over 21
- Four dots over 23
- One dot over 24
- Three dots over 25
By adding up these counts, we get:
2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18
Therefore, there were 18 time trials recorded during the experiment.
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BONUS Find the value x:
Answer:
x = 12
Step-by-step explanation:
180° = (3x - 6) + (8x + 4) + 50° because all interior angles of a triangle add up to 180°
180° = 11x +48°
11x = 132°
x = 12
Please help me with the question; It is attached in the image
Answer:
The function that passes through (0, 0) is \(f(x) = \frac{1}{6}\cdot e^{2\cdot x^{3}} - \frac{1}{6}\).
Step-by-step explanation:
Firstly, we integrate the function by algebraic substitution:
\(\int {x^{2}\cdot e^{2\cdot x^{3}}} \, dx\) (1)
If \(u = 2\cdot x^{3}\) and \(du = 6\cdot x^{2} dx\), then:
\(\int {e^{2\cdot x^{3}}\cdot x^{2}} \, dx\)
\(\frac{1}{6}\int {e^{u}} \, du\)
\(f(u) = \frac{1}{6}\cdot e^{u} + C\)
\(f(x) = \frac{1}{6}\cdot e^{2\cdot x^{3}} + C\)
Where \(C\) is the integration constant.
If \(x = 0\) and \(f(0) = 0\), then the integration constant is:
\(\frac{1}{6}\cdot e^{2\cdot 0^{3}} + C= 0\)
\(C = -\frac{1}{6}\)
Hence, the function that passes through (0, 0) is \(f(x) = \frac{1}{6}\cdot e^{2\cdot x^{3}} - \frac{1}{6}\).
The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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Throughout history, people have kept track of time by making
O
A) Secondary
Sources
O B) Calendars
O C) Labels
D) Sacred Texts
I need the answer fast pls
Answer:
secondary sources cause that what makes them
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
The equation is proved.
G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)
We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)
in the given equation, we get
\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)
\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)
\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)
\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)
\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)
`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)
For `LHS`, using identity
\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)
\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)
\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)
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PLEASE answer ill give BRAINLIEST
1.What is the measure of CBA?
2.What is the measure of CAB?
3.When these 3 interior angles of a triangle are added together, what does it equal.
The measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
According to the question,
We have the following information:
Angle CAB = 2x
Angle CBA = 3x-20
And the given triangle is a right-angled triangle which means that one of its angle is 90°.
Now, we know that the sum of three angles of a triangle is 180°.
So, we have the following expression:
2x+3x-20+90 = 180°
5x+70 = 180
5x = 180-70
5x = 110
x = 110/5
x = 22°
Now, putting the value of x in given angles:
Angle CAB = 2x
Angle CAB = 2*22
Angle CAB = 44°
Angle CBA = 3x-20
Angle CBA = 3*22-20
Angle CBA = 66-20
Angle CBA = 46°
Hence, the measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
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is amy right or wrong ? *help me please-*
Answer:
Yes she is correct because the angle 4 is is add together with its consecutive interior angle 5 will be supplementary which will equal 180 degrees and the interior angle 10 is supplementary with the exterior angle 9 which means added together they equal 180 degrees angle 10 is and obtuse and angle 9 is acute. therefore she is correct.
Answer:
Amy is probably wrong
Step-by-step explanation:
A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?
Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
Hispanic female;A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."
The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:
1 / 750 = 0.001333
This means that for every 750 Hispanic females, one is expected to have the disease.
To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:
0.001333 * 26,000 = 34.658
So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.
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Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
Is a triangle with side lengths 23,30 &19 a right triangle show why or why not . Please need asap! :)
Step-by-step explanation:
To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:
c^2 = a^2 + b^2
19^2 = 23^2 + 30^2
361 = 529 + 900
Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.
Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours
Answer:
7 hours
Step-by-step explanation:
15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.
Answer: 7 hours
Step-by-step explanation:
She earns 5 dollars per hour because 5x3=15
and then you do 15x2=30
then 3x2=6
then just add 1 to 6
6+1=7
so there's your answer
7 hours
Help me please?! I’ll give brainliest
Answer: 8/27 cubic yards
Step-by-step explanation:
Volume of cube = side length ³
(2/3)³ = 2³ / 3³ = 8 / 27
ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please
Step-by-step explanation:
The lateral area is
\(42\pi\)
The surface area is
\(60\pi\)
The volume is
\(63\pi\)
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Determine whether the
quadratic function
y=x² + 4x + 6 has
a maximum or minimum value.
Then find the value.
O maximum
minimum
The value is
Answer:
(a) The function has a minimum value
(b) The minimum value is 2
Step-by-step explanation:
(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is
y = ax^2 + bx + c.
We know that for our function a = 1.
When a > 0, the parabola opens upward and the vertex is a minimumWhen a < 0, the parabola opens downward and the vertex is a maximumThus, y = x^2 + 4x + 6 must have a minimum value.
(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.
Step 1: First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.
Plugging in 4 for b and 1 for a, we get:
x-coordinate of minimum = -4 / 2(1)
x-coordinate of minimum = -4 / 2
x-coordinate of minimum = -2
Step 2: Now we can plug in -2 for x in the quadratic function. The result will be our minimum value:
f(-2) = (-2)^2 + 4(-2) + 6
f(-2) = 4 - 8 + 6
f(-2) = -4 + 6
f(-2) = 2
Thus, the minimum value of the quadratic function is 2.
4,947 ÷ 6. with reminder
Answer:
824.5
Step-by-step explanation:
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Help help math math ASAP
Answer:
y equals to x plus 9
Step-by-step explanation:
-x+y=9
so, y=x+9
pls help i dont get it
Answer:
Step-by-step explanation:
Answer: You can add 5. The question is asking you what can you do to make both sides equal 8. I am not a professional but I hope that helped.
there are 36 dogs in the animal shelter. there are 8 more males than females. how many of each are there
Answer:
22 males14 femalesStep-by-step explanation:
You want the numbers of dogs of each gender in a shelter that houses 36 dogs, with 8 more males than females.
Sum and differenceThe relations between the numbers can be summarized in the equations ...
m + f = 36
m - f = 8
Adding these two equations gives ...
2m = 44
m = 22
Subtracting the second equation from the first gives ...
2f = 28
f = 14
The numbers of dogs are ...
22 males14 females__
Additional comment
This solution method is generic for any "sum and difference" problem. The larger number is half the sum of the given sum and difference; the smaller number is half their difference.