Answer:
19/2
Step-by-step explanation:
133 = 7 × 19
14 = 7 × 2
133/14 = 19/2
Hence Simplified
How is the product of 3 and -2 shown using integer tiles?
Answer:
Step-by-step explanation:
You can think of multiplication as a certain number of groups, and each group has an equal number of items in it.
Something like if there were 6 tables at a restaurant and 4 people can sit at each table. That would be an example of 6 groups of 4, or 6×4, which is 24
You have to look for something like 3 groups of 2-- but the 2s are negative in this case. With tiles it would look something like this:
-- -- --
That's the third answer in your screen.
The vertex form of a quadratic function is f(x) = a(x - 1)2 + k. What is the vertex of each function? Match the function
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(6,9)
f(x) = 6(x + 9)2 - 5
(5,6)
f(x) = 9(x - 5)2 + 6
(-9.-5)
f(x) = 6(x - 5)2 - 9
U (-5,-6)
(5.-9)
f(x) = 5(x - 6) +9
Done
Intro
Answer:
f(x) = 9(x + 5)2 - 6 (-5,-6)
f(x) = 6(x + 9)2 - 5 (-9,-5)
f(x) = 9(x - 5)2 + 6 (5,6)
f(x) = 6(x - 5)2 - 9. (5,-9)
f(x) = 5(x - 6) +9. (6,9)
Step-by-step explanation:
To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.
The coordinates of the vertex of the equations are:
f(x) = 9(x + 5)^2 - 6; Vertex = (-5,-6)f(x) = 6(x + 9)^2 - 5; Vertex = (-9,-5)f(x) = 9(x - 5)2 + 6; Vertex =(5,6)f(x) = 6(x - 5)^2 - 9; Vertex = (5,-9)f(x) = 5(x - 6) +9; Vertex = (6,9)How to determine the vertex of the quadratic functions?The vertex form of the quadratic function is given as:
y = a(x -h)^2 + k
Where:
Vertex = (h,k)
Using the above highlight, the coordinates of the vertex of the equations would be:
f(x) = 9(x + 5)^2 - 6
Vertex = (-5,-6)
f(x) = 6(x + 9)^2 - 5
Vertex = (-9,-5)
f(x) = 9(x - 5)2 + 6
Vertex =(5,6)
f(x) = 6(x - 5)^2 - 9
Vertex = (5,-9)
f(x) = 5(x - 6) +9
Vertex = (6,9)
Read more about vertex quadratic functions at:
https://brainly.com/question/1480401
Which expression is the same as (5 × 15) – (5 × 8)? Select one: A. 5(15) – 8 B. 5(15 × 8) C. 5(15 + 8) D. 5(15 – 8)
Answer:
A
Step-by-step explanation:
Answer: D. 5(15 - 8)
Step-by-step explanation:
5 × 15 is 75 and 5 × 8 is 40. 75 subtracted by 40 is 35.
In D, We subtract 15 and 8 to get 7. 7 × 5 is 35.
imal ikoga iz Bosne?
Answer:
Da!!!!!!!!!!!!!!!!!!!!!!!!!!
YES
Answer:
naravno da
Step-by-step explanation:
(a) Three squares have the areas of 7 cm², 17 cm² and 10 cm², (i) Will the squares exactly surround a right angled triangle? (ii) Explain your answer.
Answer:
(i) This equation is not true, which means that the three squares cannot exactly surround a right-angled triangle.
(ii) It is not always possible for three squares to surround a right-angled triangle. One way to see this is to note that the side lengths of a right-angled triangle satisfy the Pythagorean theorem, which means that they must be in a certain relationship to each other. On the other hand, the areas of three squares can take any values, so it is not always possible to find three squares whose side lengths satisfy the Pythagorean theorem.
Step-by-step explanation:
To determine whether the three squares can exactly surround a right-angled triangle, we need to use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let's assume that the three squares have side lengths a, b, and c, with areas of 7 cm², 17 cm², and 10 cm², respectively. Then, we have:
a² = 7 cm²
b² = 17 cm²
c² = 10 cm²
We need to find out whether there exist values of a, b, and c that satisfy the Pythagorean theorem. If such values exist, then the three squares can surround a right-angled triangle.
We can rearrange the equations above to solve for a, b, and c:
a = √7 cm ≈ 2.65 cm
b = √17 cm ≈ 4.12 cm
c = √10 cm ≈ 3.16 cm
Now, we can check whether the Pythagorean theorem holds:
c² = a² + b²
(√10 cm)² = (√7 cm)² + (√17 cm)²
10 cm = 7 cm + 17 cm
This equation is not true, which means that the three squares cannot exactly surround a right-angled triangle.
In general, it is not always possible for three squares to surround a right-angled triangle. One way to see this is to note that the side lengths of a right-angled triangle satisfy the Pythagorean theorem, which means that they must be in a certain relationship to each other. On the other hand, the areas of three squares can take any values, so it is not always possible to find three squares whose side lengths satisfy the Pythagorean theorem.
At a daycare, Kiran sees children climbing on this foam play structure. Kiran is thinking about building a structure like this for his younger cousins to play on.The entire structure is made out of soft foam so the children don’t hurt themselves. How much foam would Kiran need to build this play structure?
The amount of foam that Kiran would need to be able to construct the foam like structure would be 4, 960 inch³.
How to find the amount of foam ?The amount of foam that Kiran would need to make the foam play structure would be the volume of the structure as this measures the amount of material needed in the interior of the structure.
We can find the volume of the shape by dividing it into three smaller shapes of two cuboids and a triangular prism.
The volume would then be:
= Volume of shape A + Volume of shape B + Volume of C
= ( 8 x 20 x 5 ) + ( 10 x 20 x 10 ) + 2, 160
= 800 + 2, 000 + 2, 160
= 4, 960 inch ³
Find out more on material needed at https://brainly.com/question/13239184
#SPJ1
Find the slope of the line if it exists.
Answer:
m = -4/3
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points (-2,2) (1,-2)
We see the y decrease by 4 and the x increase by 3, so the slope is
m = -4/3
A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?
Answer:
\(h_t=9ft\)
Step-by-step explanation:
From the question we are told that:
Height of child \(h_c=3ft\)
Height of child's shadow \(h_c_s=2ft\)
Height of tree's shadow \(h_t_s=6ft\)
Since position of Sun remains constant
Generally the equation for Height of tree h_t mathematically given by
\(h_t=f_{ts}\frac{h_c}{h_c_s}\)
\(h_t=6*\frac{3}{2}\)
\(h_t=9ft\)
if the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?
Answer:
The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people. One hundred years later, the yearly attendance was 1.7 × 106 fans. How many times greater was the attendance in 2002 than in 1902?
Answer:
5 times greater hope this helps
Solve similar triangles (advanced) khan academy
Answer:
x = 4Step-by-step explanation:
1 = 2
3 2 + x
2 + x = 3 (2)
x = 6 - 2
x = 4
The triangle ΔABC is similar to the triangle ΔADE. Then the value of the variable 'x' will be 4 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔABC is similar to the triangle ΔADE. Then the ratio of the corresponding sides will be constant. Then the equation is given as,
2 / (2 + x) = 1 / 3
Simplify the equation, then we have
2 / (x + 2) = 1 / 3
6 = (x + 2)
x = 6 - 2
x = 4
The value of the variable 'x' will be 4 units.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Im sorry for wasting your time just wanted to say you're beautiful <3
Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
Learn more about random variable
https://brainly.com/question/30789758
#SPJ11
If 2x + y = 23 and 4x – y = 19; find the value of x – 3y and 5y – 2x
Answer:
- 20 and 31
Step-by-step explanation:
Solve the given equations simultaneously to find x and y
2x + y = 23 → (1)
4x - y = 19 → (2)
Adding the 2 equations term by term will eliminate y
6x + 0 = 42
6x = 42 ( divide both sides by 6 )
x = 7
Substitute x = 7 into either of the 2 equations and solve for y
Substituting into (1)
2(7) + y = 23
14 + y = 23 ( subtract 14 from both sides )
y = 9
Then
x - 3y = 7 - 3(9) = 7 - 27 = - 20
5y - 2x = 5(9) - 2(7) = 45 - 14 = 31
If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is 1/2 . Find the original rational number.
Answer:
3/5
Step-by-step explanation:
1/2=2/4
2+1=3
1+4=5
3/5
what is the end behavior:
\(0.5\sqrt[3]{x-4}-5\)
Step-by-step explanation:
f(x) = 0.5 ∛(x − 4) − 5
As x approaches ∞:
f(∞) = 0.5 ∛(∞ − 4) − 5
f(∞) = 0.5 ∛(∞) − 5
f(∞) = 0.5 (∞) − 5
f(∞) = ∞ − 5
f(∞) = ∞
As x approaches -∞
f(-∞) = 0.5 ∛(-∞ − 4) − 5
f(-∞) = 0.5 ∛(-∞) − 5
f(-∞) = 0.5 (-∞) − 5
f(-∞) = -∞ − 5
f(-∞) = -∞
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
\( \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121\)
what is the distance between piont S (3 -2) and point T (-5, -2)
Answer:
8
Step-by-step explanation:
d=√(−5−3)2+(−2−(−2))2
d=√(−8)2+(0)2
d=√64+0
d=√64
d=8
Answer:
W X = 83
W Y = 119
X Y = 36
Step-by-step explanation:
W X = 3y + 11
W Y = 6y - 25
X Y = y + 12
Triangle IJK has the coordinates listed:
I (5, -8) J (10, -8) K (7, -4)
Where is J' after a reflection over the y-axis?
J' ( , )
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Mark this and return
Answer:
the answer is f(2)= - 1
Step-by-step explanation:
i took the test i failed it but i get that right.
Answer:
f(2) = -1
Step-by-step explanation:
took the test
Daniel And His Family Recently Moved To California. Daniel Wants To Know Which Amusement Park Ticket Package Is Best For His Family.
He should also check for any special deals or promotions that may be available, such as discounted rates for buying tickets online or package deals that include meals or souvenirs.
To determine which amusement park ticket package is best for Daniel's family, he should consider the following factors:
Number of people in the family: The larger the family, the more economical it may be to purchase a group ticket package.
Age of family members: Many amusement parks offer discounted rates for children or seniors, so it may be beneficial to check if any family members qualify for these discounts.
Frequency of park visits: If Daniel's family plans on visiting the park multiple times, he may want to consider purchasing a season pass rather than individual tickets.
Type of attractions: If Daniel's family is only interested in certain attractions, he may want to purchase individual ride tickets instead of a package deal that includes all rides.
After considering these factors, Daniel should compare the different ticket packages offered by the amusement park to determine which one provides the best value for his family.
To learn more about factors visit:
brainly.com/question/31931315
#SPJ11
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST
Write the ratio for sin A
Answer:
Step-by-step explanation:
Formula
The sin(A) = opposite / hypotenuse
Givens
Opposite = CB = 11
Hypotenuse = AB = 61
Solution
Sin(A) = 11/61
Sin(A) = 0.1803
Answer
Sin(A) = 11/61
Sin(A) = 0.1803
The length of a rectangle is six times it’s width. If the area of the rectangle is 150ft^2, find its perimeter.
Answer:
Perimeter = 70ft
Step-by-step explanation:
Area of a rectangle is:
area = (length * width)
150 = a * b
a = 6b
a = length
b = width
then:
150 = 6b*b
150 = 6b²
b² = 150/6
b² = 25
√b² = √25
b = 5ft
a = 6b
a = 6*5
a = 30ft
then:
perimeter of a rectangle is:
p = 2(a+b)
p = 2(30 + 5)
p = 2*35
p = 70ft
pls help real quick reward brainliestt
Answer:
C) y is greater than or equal to 1
Step-by-step explanation:
Can someone help me with this??
What is the scale factor of the dilation?
Answer:
2/3
Step-by-step explanation:
A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller). The picture below shows a dilation with a scale factor of 2.
if not right im sorry
ASAP GEO PROBLEM HELP NEEDED QUICK
Prove that triangle with sides' lengths x^2−1, 2x, x^2+1 is a right triangle.
Answer:
See below.
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.
We have the side lengths (x²-1), (2x), and (x²+1).
We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.
So, we can use the Pythagorean Theorem:
\(a^2+b^2=c^2\)
Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:
\((x^2-1)^2+(2x)^2\stackrel{?}{=}(x^2+1)^2\)
Square each expression:
\((x^4-2x^2+1)+(4x^2)\stackrel{?}{=}(x^4+2x^2+1)\)
Combine like terms:
\(x^4+(-2x^2+4x^2)+1\stackrel{?}{=}(x^4+2x^2+1)\)
Add:
\(x^4+2x^2+1\stackrel{\checkmark}{=}x^2+2x^2+1\)
We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.
And we're done!
TenPCent Corporation uses the cost formula Y = $5,800 + $0.40X for the maintenance cost, where X is machine-hours. The July budget is based on 9,000 hours of planned machine time. Maintenance cost expected to be incurred during July is:
A. $5,800 B. $4,600 C. $9,400 D. $2,200
The maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.
To determine the maintenance cost expected to be incurred during July, we need to substitute the planned machine time of 9,000 hours into the cost formula Y = $5,800 + $0.40X.
Plugging in X = 9,000 into the formula, we get:
Y = $5,800 + $0.40(9,000)
Y = $5,800 + $3,600
Y = $9,400
Therefore, the maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.
The cost formula Y = $5,800 + $0.40X represents the fixed cost component of $5,800 plus the variable cost component of $0.40 per machine-hour. By multiplying the planned machine time (X) by the variable cost rate, we can determine the additional cost incurred based on the number of machine-hours. Adding the fixed cost component gives us the total maintenance cost expected for a given level of machine-time. In this case, with 9,000 hours of planned machine time, the expected maintenance cost is $9,400.
To more on Cost:
https://brainly.com/question/28180563
#SPJ8
the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model. t or f
True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.
what is slope in statistics?The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.
Briefing:Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.
To learn more about slope visit:
https://brainly.com/question/29690915
#SPJ4
A position at a local company has a starting salary of $15,000. The salary is expected to increase by 5% each year what will the salary be after 5 years?
Answer:
$19144.22
Step-by-step explanation:
We are given that
Initial salary=$15,000
Increased per year=5%
We have to find the salary after 5 years
After 1 year salary
=\(15000+\frac{5}{100}\times 15000=\)$15750
After 2 year
Salary
=\(15750+\frac{5}{100}\times 15750=\)$16537.5
After 3year ,salary
\(=16537.5+\frac{5}{100}\times 16537.5\)
=$17364.375
After 4 year
Salary=\(17364.375+\frac{5}{100}\times17364.375\)
=$18232.59375
After 5 year
Salary
=\(18232.59375+\frac{5}{100}\times 18232.59375\)
=$19144.22
After 5 years, the salary will be $19144.22