Answer:
1080
Step-by-step explanation:
Slope-intercept Form - Item 35345 Question 4 of 7 What is the equation for the graph shown?
Answer:
y= -1/2x+2
Step-by-step explanation:
slope intercept form is y=mx+b
m is slope
b is y intercept
To find slope we use y2-y1/x2-1
I will use points (4,0) and (0,2) to show it
2-0/0-4)
2/-4
-1/2 is the slope
y= -1/2x+b
We also know the y intercept because the Line intersects the y axis when y=2
y= -1/2x+2
Hopes this helps
The lengths of a rectangle have been measured to the nearest tenth of a centimetre.
The upper bound for the area is 4527.7056 cm² and the lower bound for the perimeter is 278 cm.
Area (upper bound) = 4527.7056 cm²
Perimeter (lower bound) = 278 cm
The length and width of the rectangle have been ROUNDED to the nearest tenth. Let's calculate what their actual measurements could be:
LENGTH: rounded to 87.3, actual is between 87.25 and 87.34
87.25 is the lowest number it could be that would round it UP to 87.3
87.34 is the highest number it could be that would round DOWN to 87.3
WIDTH: rounded to 51.8, actual is between 51.75 and 51.84
51.75 is the lowest number it could be that would round it UP to 51.8
51.84 is the highest number it could be that would round DOWN to 51.8
To find the Area of the upper bound, multiply the highest possible length and the highest possible width:
A = 87.34 × 51.84 = 4527.7056
To find the Perimeter of the lower bound, calculate the perimeter using the lowest possible length and the lowest possible width:
P = 2(87.25 + 51.75) = 278
The region is the quantity that expresses the volume of an area at the aircraft or on a curved floor. The vicinity of a plane region or aircraft place refers to the area of a shape or planar lamina, at the same time as floor region refers to the region of an open surface or the boundary of a 3-dimensional object. location may be understood as the quantity of material with a given thickness that might be necessary to style a version of the shape, or the quantity of paint important to cover the surface with an unmarried coat. it's far the 2-dimensional analog of the length of a curve (a one-dimensional idea) or the extent of a stable (a three-dimensional idea).
The area of a shape can be measured by means of comparing the shape to squares of a hard and fast size. inside the worldwide system of devices (SI), the usual unit of the region is the square meter (written as m2), which is the region of a square whose sides are one meter long. A form with a place of three rectangular meters might have an equal area as 3 such squares. In arithmetic, the unit rectangular is described to have placed one, and the region of any other shape or floor is a dimensionless actual quantity.
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Complete question: -
The lengths of a rectangle have been measured to the nearest tenth of a centimeter they are 87.3cm and 51.8cm what is the upper bound for the area and the lower bound for the perimeter
how many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?
The integer value of x is 6.
What is a side of a triangle?
The three vertices of a triangle connect the straight lines that make up its sides. In other terms, we can state that a triangle's sides are line segments that converge at the triangle's vertices.
Here, we have
Given,
the lengths of the sides of a triangle are x, 5, and 8.
x² + 5² < 8²
x² + 25 < 64
x² < 39, now perfect squares less than 39 are 36, 25, 16, 9, 4, 1.
x² + 5² = 8²
x² + 25 = 64
x² = 39, No integer values.
x² + 5² > 8²
x² + 25 > 64
x² + > 39
Here the possible integer values are infinite.
Hence, the integer value of x is 6.
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mary drove 156156 miles at a constant rate. if she had driven 99mi/h faster, she could have reduced her driving time by 4545 minutes. find the rate at which she actually drove.
The speed at which Marry was initially driving was 13 miles per hour and with that speed Marry drove 156 miles.
Given, Marry drove 156 miles at a constant rate.
If she had driven 99 miles/hour faster, she could have reduced her driving time by 45 minutes.
we have to find the speed at which Marry was driving.
Let the speed be, v
On using the distance formula, we get
Distance = Speed × Time
156 = vt
If she drive 99 miles/hour faster then her time reduced by 45 min.
156 = (v + 99)(t - 3/4)
156 = 156 + 99t - 3/4v - 297/4
396t = 3v + 297
396t = 468/t + 297
On solving the quadratic equation, we get
t = 12
and v = 13
So, the speed of marry was 13 miles per hour.
Hence, Initially the speed of marry was 13 miles per hour and with that speed Marry drove 156 miles.
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Gabriel's favorite snack just became available in 333 new flavors, and he wants to try each of the new flavors one after the other. In how many unique orders can gabriel arrange the new flavors?.
The number of unique orders that Gabriel can arrange for the new flavors of his favourite snak is 6..
Permutation:The term permutation refers to the mathematical calculation of the number of ways a given set can be arranged. Simply put, permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of placement is important.
P(n,r) = n!/(n-r)!
where n --> total items in the set;
r --> items taken for the permutation;
"!" --> denotes taking the factorial
We have given that,
total possible flavours of Gabriel's favorite snack = 3
He wants to try each of the new flavors one after the other.
We have to calculate the number of ways Gabriel can arrange the new flavors .
For this Use the permutation formula,
ⁿPᵣ = n!/(n-r)!
here , n = 3 , r = 3 then,
P (3,3) = 3!/(3 − 3)!
= 3!/0!
As we know that 0! = 1 so, P(3,3) = 3!
= 3×2×1 (because n! = n(n-1)(n-2)---3.2.1 )
= 6
There are 6 unique orders in which Gabriel can arrange the new flavors.
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Given point T(-1,-4), what are the coordinates of T' after it is reflected across x=2
Answer options:
A. (1,4)
B. (2,-4)
C. (5,-4)
D. (-4,5)
I REALLY REALLY NEED THESE TODAY PLEASE PLEASE HELP THIS IS LIKE THE 100TH TIME I’VE ASKED
0 in the bank balance represent there is no money in account and there is no negative balance.
What is an elevation?Elevation is the process of moving up to a higher or more important position, state, or level.
Example1: Mrs. Bautista has a bank balance of -42 dollars at the start of the month. After she deposits 42 dollars, what is the new balance?
The new balance in Mrs. Bautista account
-42+42=0
Example2: A submarine hovers at elevation 240 meters below sea level. If it elevate farther 150 meters and then elevated back 390 meters to surface, what is its new position?
Now, the new position of a submarine is
(-240-150)+390
= -390+390
= 0
So, 0 is the surface of sea level.
Therefore, 0 in the bank balance represent there is no money in account and there is no negative balance.
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Write
45 in expanded form.
Answer:
4 x 10 + 5 x 1
Step-by-step explanation:
The expanded form of a number is written as a sum where each digit of the number is multiplied by its place value. Let's understand this concept with an example. To write the number 45 in the expanded form, we split the digits into tens and ones and write it as 4 x 10 + 5 x 1.
Answer:
Step-by-step explanation:
45 in expanded form;
(4x10)+(1x5)= 45
(40 points awarded for solving) The quadratic function f(x) has roots of 4 and −6, and it passes through the point (1, 21). What is the vertex form of the equation of f(x)?
f(x) = −(x − 1)2 + 25
f(x) = −(x + 1)2 + 25
f(x) = (x − 1)2 + 25
f(x) = (x + 1)2 − 25
The vertex-form definition of the quadratic function is given as follows:
f(x) = −(x + 1)² + 25.
How to define the quadratic function?The roots of the quadratic function are defined as follows:
-6 and 4.
Hence the definition of the function is given as follows:
f(x) = a(x + 6)(x - 4)
f(x) = a(x² + 2x - 24).
When x = 1, y = 21, hence the leading coefficient a is obtained as follows:
21 = a(1 + 2 - 24)
-21a = 21
a = -1.
Thus the standard definition of the function is of:
y = -x² - 2x + 24.
The coefficients of the function are of:
a = -1, b = -2, c = 24.
Then the x-coordinate of the vertex is of:
x = -b/2a = 2/-2 = -1.
The y-coordinate of the vertex is of:
y = -(b² - 4ac)/4a = -((-2)² - 4(-1)(24))/-4 = 25.
Meaning that the vertex-form definition of the quadratic function is of:
f(x) = −(x + 1)² + 25
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Answer: B is the answer i got it right on the test
Step-by-step explanation:
The table below shows that the number of miles driven by Lydia is directly
proportional to the number of gallons she used.
Gallons Used Miles Driven
42
47
50
1591.8
1781.3
1895
If m represents the number of miles driven for any number of gallons used, g,
write a proportional equation for m in terms of g that matches the context.
What happens after you dilate?
After you dilate a figure , The figure gets bigger or smaller.
Dilation in mathematics is a process of changing the size of an object or a shape without changing its shape.
When you dilate any figure distance between the points changes.
Either the image gets enlarge or shrinks depends on the scale factor.
Things that don't changes are:
Each angle of the figure is the sameMidpoints of the sides of the figure remain the same as the midpoint of the dilated shapeParallel and perpendicular lines in the figure remain the same as the parallel and perpendicular lines of the dilated figureThe images remain the sameOnly the size of an image changes not it's shape.
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I need this asap I really don’t know what to do lol
chase looks around at an assembly. He noticed his younger sister to his right and his older brother 16 feet ahead of him. If Chase’s brother and sister are 20 feet apart, how far apart are chase and his younger sister
The distance between Chase and his younger sister is 12 feet. This is calculated by using Pythagoras' theorem.
What is Pythagoras' theorem?The theorem that states "the square of the hypotenuse of a right triangle is equal to the sum of the squares on its other two sides" is said to be Pythagoras' theorem.
I.e., hyp² = opp² + adj²
Calculation:It is given that,
Chase looks around at an assembly. He noticed that his younger sister was to his right and his elder brother is 16 feet ahead of him.
Chase's brother and sister are 20 feet apart, then the distance between Chase and his younger sister forms a right triangle as shown in the figure.
Where SB = 20 feet; CS = X feet; and CB = 16 feet;
According to the Pythagoras theorem, the distance between Chase and his sister is
SB² = CS² +CB²
⇒ (20)² = (x)² + (16)²
⇒ 400 = x² + 256
⇒ x² = 400 -256 = 144
⇒ x = √144 = 12
Therefore, the distance between Chase and his younger sister is 12 feet.
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Mrs. Robinson bought a novel at the bookstore on sale for 20% off its regular price of $29.99. Mr. Chang bought the same novel at a different bookstore for 10% off its regular price of $25. which person received the better discount? Explain.
Answer: Mrs. Robinson
Step-by-step explanation:
Let's find Mrs. Robinson first
100% - 20% = 80% or 0.8
29.99 times 0.8% = $24
29.99 -24 = $5.99 off
Now Let's find Mr.Chang
100% - 10% = 90% or 0.9
25 times 0.9% = $22.50
25 - 22.50 = $2.50 off
So Mrs. Robinson received a better discount!
What is the equation of a line that contains point(-2,8) and has a slope of two
Equation of the line having passing point (-2,8) and has a slope of 2 is 2x - y + 12 = 0
What is the equation of the line?
A straight line's equation is y = mx + c, c is the height at which the line crosses the plane, and m is the gradient. y -axis, often known as the y -intercept. The gradient m is the slope of the line, which is the percentage increase in the y-coordinate relative to the x-coordinate.
Given:
Passing point of line , (-2,8)
Slope of the line = 2
Equation of the line having passing point (a,b) and slope m become
y - b = m (x - a)
Equation of the line ⇒ y - 8 = 2(x + 2)
⇒ y - 8 = 2x + 4
⇒ 2x - y + 4 + 8 = 0
⇒ 2x - y + 12 = 0
Therefore, equation of the line having passing point (-2,8) and has a slope of 2 is 2x - y + 12 = 0.
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Complete Question
What is the equation of a line that contains point(-2,8) and has a slope of 2?
An arcade hold a game night. Of the 120 cutomer who viit during the game night, 30 cutomer are given free game. What percent of the total cutomer are given free game
The percentage of customers getting free games is 25%
Formula for Percentage?To calculate the percentage, divide the value by the total value and multiply the result by 100.
Formula for percentage = (Value/Total value) 100
Example: 2/5 of 100 = 0.4 of 100 = 40%
How do you find the percentage of a number?We must use a different formula to calculate the percentage of a number, such as:
X = P% of Number
where X represents the required percentage.
If we remove the % sign, the above formulas must be expressed as;
X = P/100 * Number
Given:
Total number of customers = 120 customers
customers have free game = 30 customers
so, let the percentage will be x%
[tex]percent = \frac{x}{100}whole\\ 30 = \frac{x}{100}120\\ \frac{3000}{120} = x\\x= 25[/tex]
so the percentage of customers getting free games is 25%
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Which lines are parallel? check all that apply. Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89. 5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91. 5 degrees; by lines d and a are blank, blank, 89. 5 degrees, blank; by lines e and a are 88. 5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90. 5 degrees, blank.
Lines b is parallel at an intersection at an angle of 89. 5 degrees.
In the above question, the two parallel lines will be b and d.
How do parallel lines work?
From the illustration, we can see that
Lines b and an intersect at an angle of 89. 5 degrees.
Lines c and an intersect at an angle of 91.5 degrees.
Lines d and an intersect at an angle of 89.5 degrees.
Lines e and an intersect at an angle of 88.5 degrees.
Lines f and an intersect at an angle of 90.5 degrees.
Since the angles created by lines b and an are equal, the result is 89.5.
Consequently, these two lines will never intersect.
However, other lines have different angles, so they can collide at a single location.
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What are 3 ways to solve equations?
The three ways of solving equations are graphing substitution and elimination.
To solve an equation by graphing, you essentially chart the given equations and discover the point(s) where they all meet. The arrangement of this point will grant you the values of the factors that you simply are tackling. The following method is substitution. Substitution is best utilized when one of the conditions is in terms of one of the factors such as y=2x+4, but the equations can continuously be manipulated. The primary step in this method is to solve one of the equations for one variable. Once an expression for the variable is found, substitute or plug within the expression into the other equation where the initial variable was to solve for the number esteem of the next variable. The final step is to substitute the number esteem that was found for its comparing variable within the original condition. The third method is the elimination, which involves adding the equations together in arrange to make an equation with as it were one variable. This will was done when the coefficients of one variable in both equations are alternate extremes and will cancel each other out once added together.
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What is the y-intercept of y = 3- 4x
Answer:
(0,3)
Step-by-step explanation:
Answer:0,3
Step-by-step explanation:
Two cubes of volumes $8 \text{~cm}^3$ and $27 \text{~cm}^3$ are glued together at their faces to form a solid with the smallest possible surface area. What is the number of square centimeters in the surface area of the resulting solid?.
The surface area of the resulting solid is 40 cm².
A cube is a three-dimensional figure that has 6 faces and 12 edges and 8 vertices. All of the edges of a cube are of the same length.
If the volume of each of the two cubes is 8 cm³, then the length of its edge is 2 cm.
V = e³
8 = e³
e = 2 cm
Two cubes are glued together. Either side by side or put on top of each other, the dimension of the resulting solid is 4 cm by 2 cm by 2 cm.
Hence, the surface area of the resulting solid is
SA = 2lw + 2lh + 2wh
SA = 2(4 cm)(2 cm) + 2(2 cm)(2 cm) + 2(4 cm)(2 cm)
SA = 40 cm²
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Aaron's dad has a pickup truck and his mom has an SUV. Last week, his dad traveled 84 miles in the pickup truck on 4 gallons of gas. His mom traveled 72 miles in the SUV on 3 gallons of gas. How many more miles per gallon did the SUV get than the truck?
Write your answer as a decimal or a whole number.
Answer:
To find out how many miles per gallon the truck got, we can divide the number of miles it traveled by the number of gallons of gas it used: 84 miles / 4 gallons = <<84/4=21>>21 miles/gallon.
To find out how many miles per gallon the SUV got, we can divide the number of miles it traveled by the number of gallons of gas it used: 72 miles / 3 gallons = <<72/3=24>>24 miles/gallon.
To find out how many more miles per gallon the SUV got than the truck, we can subtract the number of miles per gallon the truck got from the number of miles per gallon the SUV got: 24 miles/gallon - 21 miles/gallon = <<24-21=3>>3 miles/gallon.
The SUV got 3 more miles per gallon than the truck.
Step-by-step explanation:
Answer:The SUV got 3 more miles per gallon than the truck.
Step-by-step explanation:
How do you solve 3x 4 1/2 x 12 1/2
Answer:
75/4
Step-by-step explanation:
I put all fractions in the same form and multiplied straight across
3/1 * 1/2 * 25/2 =
75/4
1/2x 3/4 in the simplest form?
(3, 5), (-3, r), m = 3/4
Answer:
(35),(−3r),m=34(35),(−3),=3/4
Step-by-step explanation:
if i have 29 pencils and i give 13 away to my friend how much pencils do i have left?
If you have 29 pencils and gave 13 away to your friend, you subtract what you gave away from what you have.
[tex]29-13\\=\fbox{16}[/tex]
A car is currently $6,000 and has been decreasing by 20% every three years. What is
the value of the car after 7 years?
The value of the given car after 7 years will be $2880 which has been decreasing by 20% every three years.
A car is currently $6,000 and has been decreasing by 20% every three years.
After 7 years, the car will have decreased in value by 7 / 3 = 2 full cycles of 20%.
Each cycle decreases the value of the car by 20/100 × $6,000 = $1200.
After two cycles, the value of the car will be :
$6,000 - 2 × $1,200 = $3,600.
After 7 years, the car will have decreased in value by an additional :
$3,600 × 20/100 = $720.
So, after 7 years, the car will be worth :
$3,600 - $720 = $2880.
Therefore, the value of the given car after 7 years will be $2880.
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How do you solve a linear function problem?
The process to solve the linear function problem is explained below .
In the question ,
we have been asked how can we solve a linear function problem .
we know that A linear function is a function that represents a straight line in the coordinate plane.
For Example, let the linear function problem be f(x) = 3x - 2 ,
Step(1) :
to solve it we first have to equate the function to 0 ,
that is 3x - 2 = 0
Step(2) ;
we need to perform the necessary mathematical operation to find the value of x .
adding 2 on both sides of equation 3x - 2,
we get ,
3x = 2
dividing both sides by 3 ,
we have , x = 2/3 ,
the solution is x = 2/3 .
Therefore , the steps to solve a linear function is mentioned above .
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How do you draw a area of a square?
To draw the area of a square, begin by drawing a square with four equal sides. Label the length of each side. Then, draw a triangle inside the square, connecting each corner. Label the length of each side.
Finally, calculate the area of the square by multiplying the length of the square by the length of the triangle.To find the area of any square, use the formula A= s2, where s is one of the sides' lengths.For example, if the length of each side of the square is 4, the area of the square would be 16 (4 x 4 = 16). To draw the area of the square, draw a 4x4 square and then draw a triangle inside it, connecting each corner. Label the length of each side of the triangle and the square. Then use the area formula to calculate the area of the square (A = s^2).
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55x-20=55 what does x equal
Answer: x = 15/11
Step-by-step explanation:
55x - 20 = 55
+ 20 +20
55x = 75
/55 /55
x = 75/55
x = 15/11
x = 1 4/11
Answer: x=1.36363636364
Step-by-step explanation: 55x-20+55Add 20 to the 5 and the 20the -20 and positive 20 will cancel outThan divide 75 by 55 to get your answer 1.36363636364the distribution of cholesterol levels in teenage boys is approximately normal with mean of 170 and standard deviation 25 (source: u.s. national center for health statistics). levels above 200 warrant attention. find the probability that a teenage boy has a cholesterol level greater than 200. group of answer choices
The probability that a teenage boy has a cholesterol level greater than 200 is 0.11507.
Let the distribution of teenage boys' cholesterol levels be x
According to the question,
X follows a Normal distribution with
mean = 170
Standard deviation = 25
Hence, the variance = 25² = 625.
Hence X ~ N(170,25)
Now we need to find P(X>200)
= 1 - P(X<200)
Now to find this we need to convert the problem to a standard normal distribution
for this, we use the formula
P(X<x) = P(Z<x-mean/sd)
Therefore,
P(X<200)
= P(Z<(200 - 170)/25)
= P(Z<30/25)
= P(Z<1.2)
According to Z table,
P(Z<1.2)
= 0.88493
Hence, P(X>200)
= 1 - 0.88493
= 0.11507
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