Answer:
The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
The solution to the system will be in the point where the two lines intersect.
What are the 4 most important parts of a graph?
The Title, the Legend, the Source, Axis, and the Data are the 4 most important parts of a graph.
The title defines a short explanation of what is in your graph. This helps the reader identify what they are about to look at. It can be creative or simple as long as it tells what is in the graph.
This legend tells us that the line represents the actual amount spent on each child and the line represents the amount spent when adjusted for inflation.
The source explains where you found the information that is in your graph.
The most important part of your graph is the information or data, Line graphs can present more than one group of data at a time. In this graph, two sets of data are presented.
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how many right angles do a octagon have
An octagon has eight angles and all of them are right angles.
Answer:
An actual octagon doesn't have any right angles (90°) this is because it's interior angles are 135° each
Solve all of these and get 45 points
The results of the algebraic expressions by means of distributive property are listed below:
Case 9: - 6 · x + 10
Case 10: - 24 · x + 18 · y
Case 11: 15 · y - 10 · x
Case 12: - 8 · x - 28
Case 13: - 7 · x + 14
Case 14: - 24 · x + 12
How to use distributive property in algebraic formulas
In this question we have six cases of algebraic expressions that must be simplified by means of distributive property, which states that a combination of three real numbers x, y and z has the following relationship:
x · (y + z) = x · y + x · z
Now we proceed to simplify each expression by means of distributive property:
Case 9
2 · (- 3 · x + 5)
- 2 · 3 · x + 2 · 5
- 6 · x + 10
Case 10
6 · (- 4 · x + 3 · y)
- 6 · 4 · x + 6 · 3 · y
- 24 · x + 18 · y
Case 11
(3 · y - 2 · x) · 5
3 · 5 · y - 2 · 5 · x
15 · y - 10 · x
Case 12
(- 2 · x - 7) · 4
- 2 · 4 · x - 7 · 4
- 8 · x - 28
Case 13
- 7 · (x - 2)
- 7 · x + 7 · 2
- 7 · x + 14
Case 14
- 3 · (8 · x - 4)
- 3 · 8 · x + 3 · 4
- 24 · x + 12
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Mr. Harson installed a
new window
in his front room. Find the area
and perimeter of the new window
We found perimeter of window is 2 (L + w) and area of window is (L × w)
What means perimeter and area?The word perimeter implies the total length of the boundary of a closed geometrical shape. Different geometrical shape has different formula for calculating its perimeter.
Area is the total space occupied by a closed flat geometrical shape. The method of determining area is also different for various figure.
How to find the perimeter and area of Mr. Harson's window?Let, the new window is rectangular in shape,
the length of window = L feet
the width of window = w feet
hence, the area of window = length × width
area = L× w
We know the formula of perimeter for a rectangular shape = 2 (length + width)
therefore, perimeter for the window = 2 (L+ w)
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Find the sum of the solutions of the quadratic $x^2 7x - 18 = 0.$
The sum of the solutions of the quadratic x² + 7x - 18 = 0 is -7.
Therefore the answer is -7.
Quadratic equations can have two solutions, which are also called roots. The sum of the solutions of a quadratic equation of the form ax² + bx + c = 0 where a, b, and c are constants can be found using the relation
sum of solutions = -b/ a
In this case, the quadratic equation is x² + 7x - 18 = 0, so a = 1, b = 7, and c = -18. Plugging these values into the formula, we get:
Sum of solution = -7/ 1
Sum of solution = -7
--The question is incomplete, the complete question is given below--
"Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."
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The sum of the solutions of the
quadratic
x² + 7x - 18 = 0 is -7
The degree of the equation is 2 and so it will have 2 roots. This also means that the equation is a
quadratic equation
.
sum of solutions = -b/ a
The
roots
of the equations are -9 and 2.
Here a=1, b=7 and c= -18.
Hence
sum
of solutions = -b/a = -7/1 = -7
The question is
incomplete
, it should be "Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."
The slope of the line is the steepness it shows. Mathematically the slope is represented as the change in y with respect to the change in x.
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PLEASE HELP! WILL GIVE BRAINIEST!
Answer: The restaurant owner would have to buy 4 plates and 3 spoons.
Step-by-step explanation:
12 x 3 = 36
9 x 4 = 36
Answer:
36
Step-by-step explanation:
36/12=3
36/9=4
What is proper fraction Class 7?
Answer: A fraction where the denominator (bottom number) is larger than the numerator (top number). Examples: [tex]\frac{3}{7}[/tex], [tex]\frac{15}{39}[/tex], [tex]\frac{42}{50}[/tex]
Step-by-step explanation:
some1 please help. please
The direct variation equation is y = 7x. The graph is shown below.
How to Write a Direct Variation Equation?A direct variation equation is an equation that describes a relationship between two variables in which one variable is directly proportional to the other. This means that the ratio of the two variables is always the same, regardless of the values of the variables.
To write a direct variation equation, you need to know the constant of proportionality, which is the value that relates the two variables. Let's call this constant k.
Then, the general form of a direct variation equation is:
y = kx
where x and y are the two variables and k is the constant of proportionality.
Therefore, to write the equation of the direct variation, find the value of k by substituting y = 8.4 and x = 1.2 into y = kx:
8.4 = k(1.2)
8.4/1.2 = k
k = 7
Substitute the value of k into y = kx:
y = 7x
The graph of the equation is shown below.
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Select all of the following that are like radicals.
9√6ab²
-5-√6ab²
436ab²
2√6b²a
Answer:
9√6ab² ,-5-√6ab²…2√6b²a are like radicals.
Help! I got 4080 but it marked it as wrong
The surface area of the given prism is 3744 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Here the prism contains six surfaces out of these two are trapezoidal and the other is rectangular so the total surface area will be the sum of the area of the trapezoid and the rectangles.
The surface area will be calculated as,
SA = 2 [(24/2)(29+12) + ( 12 x 30 ) + ( 26 x 30 ) + ( 25 x 30 ) + ( 29 x 30)
SA = 984 + 360 + 780 + 750 + 870
SA = 3744 square cm
Therefore, the total surface area will be 3744 square cm.
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find the indicated partial derivative. r(s, t) = tes/t; rt(0, 4)
The partial derivative of r with respect to t at (0, 4) is e/4.
To find the partial derivative of r with respect to t, we need to hold the variable s constant and take the derivative of r with respect to t. The derivative of tes/t with respect to t is es/t^2. Since we are holding s constant at 0, we can replace s with 0, so we have e0/t^2 which simplifies to 0. Therefore the partial derivative of r with respect to t at (0, 4) is 0.
On the other hand, to find the partial derivative of r with respect to s, we need to hold the variable t constant and take the derivative of r with respect to s. The derivative of tes/t with respect to s is te/t. Since we are holding t constant at 4, we can replace t with 4, so we have 4e/4 which simplifies to e/4. Therefore the partial derivative of r with respect to s at (0, 4) is e/4.
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The anime sushi bar collects data on how many dragon rolls and sashimi are made per hour. dragon rolls take longer to make than sashimi. what might explain the difference in production between week 1 and week 2? adding a chef buying more ingredients closing a workstation using more fish
The most likely explanation for the difference in production between week 1 and week 2 is the addition of a chef.
Adding a chef could increase the number of dragon rolls and sashimi made per hour, as the chef would be able to help make the rolls faster.
The formula for calculating the difference in production between week 1 and week 2 is:
(Number of dragon rolls and sashimi produced in week 2 - Number of dragon rolls and sashimi produced in week 1) / Number of dragon rolls and sashimi produced in week 1
For example, if the anime sushi bar produced 100 dragon rolls and sashimi in week 1 and 150 dragon rolls and sashimi in week 2, then the difference in production between week 1 and week 2 would be:
(150 - 100) / 100 = 0.5
Therefore, the difference in production between week 1 and week 2 is 50%.
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The most likely explanation for the difference in production between week 1 and week 2 is the addition of a chef.
In this question we have been given that the anime sushi bar collects data on how many dragon rolls and sashimi are made per hour. dragon rolls take longer to make than sashimi.
We need to determine what might explain the difference in production between week 1 and week 2
Consider the following graph.
Adding a chef could increase the number of dragon rolls and sashimi made per hour, as the chef would be able to help make the rolls faster.
We can caculate the difference in production between week 1 and week 2 as:
Number of dragon rolls and sashimi produced in week 2 - Number of dragon rolls and sashimi produced in week 1
Since the production increased across the board at each level for both types of rolls, the difference in production is most likely due to adding a chef. If there was only one chef, one roll would increase and the other would decrease because they could only spend their time on one thing.
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What is the equation of the line that passes through the points (−8, −10) and (6, 3)? Write your answer in slope-intercept form.
The equation of the line that passes through the points (−8, −10) and (6, 3)
y = 13/14 x - 18/7How to identify the equation of the lineThe slope, m of the linear function is calculated using the points (−8, −10) and (6, 3)
m = (y₀ - y₁) / (x₀ - x₁)
m = (-10 - 3) / (-8 - 6)
m = (-13) / (-14)
m = 13/14
equation passing through point (6, 3) using the point slope formula
(y - y₁) = m' (x - x₁)
y - 3 = 13/14(x - 6)
y - 3 = 13/14 x - 39/7
y = 13/14 x - 39/7 + 3
y = 13/14 x - 18/7
The equation of the line in slope intercept form is y = 13/14 x - 18/7
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Which of the following equations best describes exponential decay?
A. y=a b', with 0
B. y a b', with 0
C. y a b', with 0
D. y=a b', with a > 0
Please select the best answer from the choices provided
A
B
D
To solve this we must be knowing each and every concept related to exponential decay and its calculations. Therefore, y=a.b(x) with o<b<1 is the equations that best describes exponential decay. The correct option is option A.
What is exponential decay?Exponential decay is indeed a scalar many of the exponential function, which has a known expected value (i.e. the individual lifespan of each item is exponentially distributed).
It may be stated as y=a(1-b)x, where y seems to be the ultimate amount, an is indeed the initial amount, b is indeed the decay factor, as well as x seems to be the time elapsed. y=a.b(x) with o<b<1 is the equations that best describes exponential decay.
Therefore, y=a.b(x) with o<b<1 is the equations that best describes exponential decay. The correct option is option A.
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The polygons are similar. x = ___
The value of x will be;
⇒ x = 5
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The polygons are similar.
Now,
Since, The polygons are similar.
Hence, There corresponding sides are in proportion.
⇒ 5 / 9 = (10/3) / (x + 1)
Solve for x as;
⇒ 5 (x + 1) = 9 × 10/3
⇒ x + 1 = 30/5
⇒ x + 1 = 6
⇒ x = 6 - 1
⇒ x = 5
Thus, The value of x = 5
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A sequence is shown below.
8.0, 6.5, 5.0, 3.5, . . .
In the recursive formula for the sequence, if an=−4.0 , what is the value of an+1 ?
A
–2.5
B
–5.5
C
–6.0
D
–3.0
The value of the sequence aₙ₊₁ is -5.5
How to determine the value of the sequenceThe definition of the sequence is given as
8.0, 6.5, 5.0, 3.5, . . .
The above definitions imply that we simply subtract 1.5 from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ₊₁ = aₙ - 1.5
From the question, we have
aₙ = -4.0
Substitute the known values in the above equation, so, we have the following representation
aₙ₊₁ = -4.0 - 1.5
Evaluate
aₙ₊₁ = -5.5
Hence, the value of aₙ₊₁ is -5.5
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Geometry please help me
Analysing the given triangle in the question and applying the pythagoras theorem, the length of the third side for the given triangle is 4.
What is pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean Theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides.
Who is pythagoras theorem named after?The pythagoras theorem is named after the Greek mathematician-philosopher Pythagoras.
In the given triangle, the sides with given length are:
Perpendicular(p) = 3
Base (b) = [tex]\sqrt{7}[/tex]
so , hypotenuse (h) = [tex]\sqrt{p^{2} +b^{2} }[/tex] = [tex]\sqrt{(\sqrt{7}) ^{2} + 3^{2} }[/tex]= 4
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Hercules took his brother to the fair. For every 9 lollipops they won, they received 2 pieces of gum. If Hercules counted 32 pieces of gum in their bag, how many lollipops did they have.
Because
9 lolipops + 2 pieces of gum eventually add up to 32 pieces of gum..
32 divided by 2 would give you 16
9 times 16 = 144
correct me if i am wrong))
an 8 oz can of soup cost 1.75 and a 24 oz can of soup cost $4.90. what is the unit price of the 24 oz can of soup?
The unit price of 24 oz can of soup is $0.2
8 oz can of soup cost $1.75
24 oz can of soup cost $4.90
The unit price of 24 oz can of soup can be calculated as follows
24= 4.90
1= x
Cross multiply both sides
24x= 4.90
Divide by the coefficient of x which is 24
24x/24= 4.90/24
x= 0.2
Hence the unit price of 24 oz can of soup is $0.2
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If each bracelet needs 2/3 foot of string, how many bracelets can be made with 4 ¾ feet of string?
Answer: 7 bracelets
Step-by-step explanation:
1 bracelet : 2/3 ft
4 3/4 = 19/4 feet
19/4 / 2/3 = 19/4 * 3/2
= 57/8 = 7 bracelets max
Answer:
7 bracelets
Step-by-step explanation:
Length of the bracelet = 2/3 ft
Length of the whole string = 4¾ ft
So, to find the number of bracelets can be made, divide the length of the whole string by the length of a bracelet.
Let us solve it now.
[tex] \sf \: Number \: of \: bracelets = \frac{Length \: of \: the \: whole \: string}{Length \: of \: a \: bracelet} \\ \sf \: No \: of \: bracelets = 4 \frac{3}{4} \div \frac{2}{3} [/tex]
First, make the fractions as improper fractions.
[tex]\sf \: No \: of \: bracelets = 4 \frac{3}{4} \div \frac{2}{3} \\ \sf \: No \: of \: bracelets = \frac{19}{4} \div \frac{2}{3} [/tex]
Now, multiply the first fraction by the reciprocal of the second fraction.
[tex] \sf \: No \: of \: bracelets = \frac{19}{4} \times \frac{3}{2} \\ \sf \: No \: of \: bracelets = \frac{57}{8} = 7.125 \\ \sf \: approx =7\: bracelets[/tex]
A.P. Calculus Unit 1 Progress Check: MCQ Part B
Question 8
f(3) = --- + 3x + 3 for < 2 6 for 1 = 2 8- 1 for >2 у
Let f be the piecewise function defined above. Also shown is a portion of the graph of f. What is the value of limf f(x)) ?
The value of the value of limit [ff(x))] will be: [tex]\lim _{x \rightarrow 2} f(f(x))=-1[/tex]
A limit in mathematics is the value that a function, output, or sequence approaches when an input, index, or other quantity approaches a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.
By evaluating the function at values close to x=0, we may determine the size of a limit, if one exists. We are unable to immediately determine a function value for x=0 since the outcome would have an unknown denominator.
We have been given
[tex]$$f(x)=\left\{\begin{array}{cc}-x^2+3 x+3 & \text { for } x < 2 \\6 & \text { for } x=2 \\8-\frac{3}{2} x & \text { for } x > 2\end{array}\right.$$[/tex]
We need to find the value of [tex]$\lim _{\lambda \rightarrow 2} f(f(x))$[/tex]
We know [tex]\lim _{x \rightarrow 2} f(x)=f(2)=6[/tex]
Now [tex]$\lim _{x \rightarrow 2} f[f(x)]=\lim _{x \rightarrow 2} f(6)$[/tex]=f(6)
We can find from given range as follows:
[tex]f(6)=8-\frac{3}{2} x\\=8-\frac{3}{2} \times 6\\=8-9=-1[/tex]
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In three complete sentences, describe how would i find the solution to the system of equations below
-6x + 3y = -12
x - y = 14
Answer: Use the second equation, add the y on both sides to get x= y +14. Then plug in y+14 to the x in the first equation and solve. Take the solution of that to get y and plug it into the second equation to find the value of x.
Step-by-step explanation:
A day on Saturn is 42.6% of a day on earth how many hours a day on Saturn
Answer:
10.224 hours =
10 hours 13 minutes 26.4 seconds
Step-by-step explanation:
24 hours x 42.6% = 10.224 hours
If we need to express in hours, minutes, seconds, then:
24 hours = 24 * 3600 = 86400 sec
86400 sec x 42.6% = 36806.4 sec
Hours:
36806.4 sec // 3600 sec = 10 hours
remainder: 36806.4 sec - 3600 sec x 10 hours = 806.4 sec
Minutes:
806.4 sec // 60 sec = 13 minutes
remainder: 806.4 sec - 13 minutes x 60 sec = 26.4 sec
Full answer: 10 hours 13 minutes 26.4 seconds
Answer:10.224
Step-by-step explanation:its what the calculator said when i put in 42.6 percent of 24
Find each of the indicated Taylor polynomials for f(x) = sin(x) based at b = 0.
T3(x)= T4(x)= T5(x)= T6(x)=
The coefficients are calculated by taking the derivatives of sin(x) at b = 0, which is the base point. The 3rd order Taylor polynomial is the 0th, 1st and 2nd derivatives, the 4th order Taylor polynomial is the 0th, 1st, 2nd and 3rd derivatives, and so on.
T3(x) = sin(x) - x^3/6
T4(x) = sin(x) - x^3/6 + x^5/120
T5(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040
T6(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880
We will use the formula for the Taylor polynomial of degree n:
Tn(x) = f(b) + f'(b)(x-b) + f''(b)(x-b)^2/2! + f'''(b)(x-b)^3/3! + ...+ f^(n)(b)(x-b)^n/n!
Since b = 0, we have:
T3(x) = sin(0) + sin'(0)(x-0) + sin''(0)(x-0)^2/2!
= 0 + 1(x-0) + (-1)(x-0)^2/2!
= 0 + x - x^3/6
= sin(x) - x^3/6
T4(x) = sin(0) + sin'(0)(x-0) + sin''(0)(x-0)^2/2! + sin'''(0)(x-0)^3/3!
= 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3!
= 0 + x - x^3/6 + x^5/120
= sin(x) - x^3/6 + x^5/120
T5(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040
= 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3! + 1(x-0)^4/4!
= 0 + x - x^3/6 + x^5/120 - x^7/5040
= sin(x) - x^3/6 + x^5/120 - x^7/5040
T6(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880
= 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3! + 1(x-0)^4/4! + (-1)(x-0)^5/5!
= 0 + x - x^3/6 + x^5/120 - x^7/5040 + x^9/362880
= sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880
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The sample statistic s is the point estimator of a. mu b. lambda c. x d.
The sample statistic 'S' is the point estimator of σ. So the correct answer is D: "σ".
In statistics, an estimator is used for the purpose of estimating a parameter that is not known. An estimator is defined as a function of the data in a sample. The sample mean and sample variance are common estimators, which which are used to estimate or guess the unknown population means and variance.
The 'S' is the sample statistic that is the point estimator of 'σ'; that is 'S' is an estimator of σ. Thus option D i.e. "σ" is the correct answer to this question.
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7 fewer than a number s
Answer:
7 fewer than the number s is s-7
Answer: 7 fewer than a number s = s-7
Step-by-step explanation:
take away 7 from s
A
B
112°
D
C
m
Enter the number that belongs in the green box.
Enter
The number that belongs in the green box is 34.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle
Angle A and C are congruent so if you wanted to set up an equation, that would be 2x + 112 = 180
subtract 32 from both sides
2x = 180-112
2x=68
Divide both sides by 2
x=34
You can check by adding 34 + 34 + 112 = 180
So angle C is 34
Hence, the number that belongs in the green box is 34.
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The quotient of a number x and 19 is 10.
An equation is .
Adam is going to a carnival that has games and rides. Each game costs $1.50 and each
ride costs $3. Adam spent $15 altogether at the carnival and the number of games he
played is 3 times the number of rides he went on. Graphically solve a system of
equations in order to determine the number of games Adam played, x, and the
number of rides Adam went on, y. And graph.
Answer:
6 games and 2 rides
Step-by-step explanation:
Start with the equation 3*1.50x+3y=15
Then plug that equation into desmos graphing calculator
Then round up
This will tell you the number of games, and rides Adam went on
if the velocity of a body is 36 km per hour calculate the distance travelled by it in 10 minutes
Answer:6 km
Step-by-step explanatiotion
the velocity is 36 km per hour
60 minutes per hour so 36/6= 6 km
