Answer:
$270
Step-by-step explanation:
h = number of half hours worked
$75 + $45(h-1) = total cost
3 1/2 hrs = 7 half-hours
$75 + $45(7 - 1) = $270
y=-4/5x-2 standard form
Answer:
[tex] y = - \frac{5}{4}x - \frac{5}{2} [/tex]
Step-by-step explanation:
Don't know if it's right but yeah that's what I got.
first interchange x and y second swap the the sides of the equationthird multiply both sides of the equation by 55th move the constant to the right-hand side and change its sign Divide both sides of the equation by -4The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.
A. 200.96 square inches
B. 175.84 square inches
C. 100.48 square inches
D. 25.12 square inches
Answer:
B. 175.84 square inches
Step-by-step explanation:
The pizza is shaped like a circle
Area of a circle = π r² where r is the radius
r = d/2 where d = diameter
Here d = 16 in
r = 16/2 = 8
Total area of pizza = π · 8² = 64 π
If 1/8th of the pizza was consumed balance = 1-1/8 = 7/8
7/8 of the total area = 7/8 x 64π = 56π = 175.84 square inches
This is the area of the remaining portion of the pizza
The graph shows the location of the entrance to a state park. Each unit on the graph represents 1 kilometer. Rodrigo uses the graph to locate a waterfall. The waterfall is located 3 kilometers to the left and 4 kilometers down from the park entrance. Rodrigo says the ordered pair for the waterfall is (3,9). Use the drop-down menus to explain Rodrigo's error.
The location of the waterfall on the graph will be (3,1). Instead of going down down, Rodrigo goes 4 units upward direction.
How to interpret Cartesian Coordinates?Coordinates are defined as a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis are the two axes that make up a coordinate plane (vertical).
Given that the location of the entrance is at (6, 5).
To reach the waterfall, you need to go 3 km to the left and 4 km down from the park entrance.
The x-coordinate decreases to the left side of a point and increases to the right side of a point.
The y-coordinate decreases to a downward point and increases upward a point.
The x-coordinate of the waterfall is 6 - 3 =3
The y-coordinate of the waterfall is 5 - 4 = 1.
The coordinate that represents the location of a point is (3,1).
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A pump fills a pool at a constant rate. At the end of 12 minutes it has filled 3 gallons of water. Which table represents the relationship between the number of minutes and the number of gallons of water in the pool?
The table D represents the relationship between the number of minutes and the number of gallons of water in the pool.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A pump fills a pool at a constant rate.
At the end of 12 minutes,
it has filled 3 gallons of water.
From the given choices:
The table D represents the relationship between 12 minutes and 3 gallons of water in the pool.
Therefore, the table D is the correct table.
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The natural numbers are a subset of all of the following sets except the integers numbers whole numbers real numbers irrational numbers
Answer: irrational numbers
Step-by-step explanation:
By definition, natural numbers are rational numbers.
Graph the functions f(x) = -6x+2 and g(x) =-2^x^+^2 + 6 whst are the solutions of the equation -6x+2=-2^x^+^2 +6
The solution of the system of equation -6x + 2 = -2^{x + 2} + 6 is equal to the ordered pair (0, 2).
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
f(x) = -6x + 2 ......equation 1.
g(x) = -2^{x + 2} + 6 ......equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (0, 2)
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you get 26 points out of 32 total points on your test, write "26 out 32" as a simplified fraction, decimal, and percent
As a fraction: 26/32 = 13/16
As a decimal: 26/32 = 0.8125
As a percent: 26/32 * 100 = 81.25%
K
Factor out the greatest common factor.
3x³+18x²-12x
3x³ +18x²-12x=(Type your answer in factored form.)
The greatest common factor is 3x.
What is Greatest Common Factor?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
3x³+18x²-12x
First, factorize each term of Expression
3x³ = 3. x . x . x
18x² = 3 . 3 . 2. x .x
12x =
So, 3x³+18x²-12x
= 3. x . x . x + ( 3 . 3 . 2. x .x ) - (2 . 2. 3 . x)
= 3x ( 3x² + 6x - 4)
Hence, the GCF is 3x.
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I'll give you brainliest and extra points if it's right! :)
Answer:
Answers Below
Step-by-step explanation:
[tex]area = \frac{1}{2} (p \times a)[/tex]
[tex]perimeter = 5s[/tex]
The ratio of the side lengths, yellow to green
We see yellow is 36 and green is 60, so we just put that slash mark in between as indicated in the directions, giving us
36/60. We can reduce this to it's simplistic form of 3/5
The ratio of the perimeters, yellow to green.
To find the perimeter, we multiply the side by 5
Yellow; 36x5= 180
Green; 60x5= 300
We put that ratio slash... 180/300. Reducing it comes out to 90/150 > 30/50 > 3/5 also...
And that's because the polygons are similar.
Since the polygons are similar... what would be the ratio for the areas...
Yep, 3/5
Last is to find the area of the green.
The yellow is 45 and the ratio is 3/5. We can write the equation as a ratio
[tex] \frac{45}{x} = \frac{3}{5} [/tex]
Now if we cross multiply;
[tex](45)(5) = 3x > 3x = 225[/tex]
Last but not least, divide by 3
[tex]x = 75[/tex]
Making the area of the green 75
3 is the same as the sum of times a number and -3
A. 3+ (-3)
B.
3+ (-3x)
C. 3+ (-x) = -3
-
D. 3+ (-¹/2) = - 3x
-
The equation is 3 = 3x + (-3) which represents the given statement "3 is the same as the sum of times a number and -3".
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Let the x represents the number.
The statement is given in the question, as follows:
3 is the same as the sum of times a number and -3
As per the given statement, we can write the algebraic form as
3 = 3x + (-3)
Thus, the equation is 3 = 3x + (-3) which represents the given statement.
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What are the coordinates of point B?
50 points not to each im low on points?
slope
it has 3 on side and i have done this plenty of tjmes to know
Equation of the thine that passes through the point (-6,-8) and is parallel to the line x-2y=6
The rquired equation of the line is x + 2y = - 10
Slope-intercept form of a line:The slope-intercept form of a line is given by
y = mx + cWhere m = slope and c = y-intercept
Note: The slope of two parallel lines will have the same slope
Here we have
The point (-6, -8) and the line x - 2y = 6 --- (1)
Let the equation y = mx + c ---- (2) is the equation of the line that passes through (-6, -8) and parallel to x - 2y = 6
As we know the parallel lines will have the same slope
=> Slope of line (1) = Slope of line (2)
Here x - 2y = 6
=> 2y = - x + 6
=> y = -x/2 + 3 which is in the form of y = mx + c
=> Slope of line = - 1/2
Therefore, the Slope of lines (2) = -1/2
=> y = (-1/2)x + c
=> 2y = -x + 2c --- (3)
Given that line passes through (-6, -8)
=> 2(-8) = - (-6) + 2c
=> - 16 = + 6 + 2c
=> 2c = -10
=> c = -5
=> y = -x/2 + (-5)
=> y = -x/2 - 5
=> 2y = - x - 10
=> x + 2y = - 10
Therefore,
The required equation of the line is x + 2y = - 10
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The points O(4,4), P(-4,0), Q(-2,-4), and R(6,0) form quadrilateral OPQR.
On solving the provided question, we can say that none of the segments are parallel or perpendicular, and they are all different lengths. The image is a quadrilateral scalene figure.
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
FG: slope: -4/5, length: √41 ≈ 6.40
GH: slope: -5, length: √26 ≈ 5.10
HI: slope: -1, length: 3√2 ≈ 4.24
IF: slope: 4, length: √17 ≈ 4.12
None of the segments are parallel or perpendicular, and they are all different lengths. The image is a quadrilateral scalene figure.
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Mrs. Mortlock uses a calculator program to select students at random to answer questions during class. Each of the 28 students in her class is equally likely to be chosen every time she runs the program. Suppose Mrs. Mortlock runs the program for five different questions.
(a) In how many different ways can the program select which students will answer the five questions?
(b) How many of the selections in part (a) include 5 different students?
a) 17210368 different ways can the program select which students will answer the five questions
b) 11,793,600 different ways.
What is Permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Given:
Each of the 28 students in her class is equally likely to be chosen every time she runs the program.
a) The number of ways can the program select which students will answer the five questions
= [tex]28^5\\[/tex]
= 17210368
b) using Permutation
[tex]P^{28}_2[/tex] = 28! / (28-5)!
= 28! / 23!
= 28 x 27 x 26 x 25 x 24 x 23! / 23!
= 11,793,600
So, there are 11,793,600 different ways.
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Find the equation, in standard form, of the line passing through the point (0,-3) and parallel
to x-5y = 75.
The equation in standard form when the line is passing through point (0,-3) and parallel to x - 5y = 75 is 5y - x + 15
What is equation of a straight line ?
Equation of straight line as follows , y = mx + b
where m is the slope of line.
Given equation ,
x - 5y = 75
and the points are (0,-3)
First lets find the slope of a line
we get,
x - 5y = 75
5y = x - 75
y = 1/5 x - 15
m = 1/5
Here the point (0,-3) and slope m = 1/5
Therefore,
The equation of the line
y + 3 = 1/5 (x-0)
5y + 15 = x
5y - x + 15
Therefore, The equation in standard form when the line is passing through point (0,-3) and parallel to x - 5y = 75 is 5y - x + 15
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Help please, this is for ib math.
The ratio of consecutive terms of the Fibonacci sequence 2/1, 3/2, 5/3, 8/5, 13/8 and so on is 0.75.
What is Fibonacci sequence?The Fibonacci series is the sequence of numbers (also called Fibonacci numbers), where every number is the sum of the preceding two numbers, such that the first two terms are '0' and '1'. In some older versions of the series, the term '0' might be omitted. A Fibonacci series can thus be given as, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, . . .
1) To represent any (n+1)th term in this series, we can give the expression as, Fₙ=Fₙ₋₁+Fₙ₋₂.
2) A sequence in which every number in the Fibonacci sequence is the sum of two numbers preceding it in the sequence.
Yes, the Fibonacci sequence written using a formula that connects successive terms of the sequence.
3) The Fibonacci sequence in nature:
A perfect example of this is the nautilus shell, whose chambers adhere to the Fibonacci sequence's logarithmic spiral almost perfectly. This famous pattern shows up everywhere in nature including flowers, pinecones, hurricanes, and even huge spiral galaxies in space.
4) The ratio of consecutive terms of the Fibonacci sequence 2/1, 3/2, 5/3, 8/5, 13/8 and so on.
Now, the ratio is 3/2 ÷ 2/1
= 3/2 × 1/2
= 3/4
= 0.75
Therefore, the ratio of consecutive terms of the Fibonacci sequence 2/1, 3/2, 5/3, 8/5, 13/8 and so on is 0.75.
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help!!!!!!!!!!!!!!!!!!!!!!!!
''The planets farthest from the Sun have the coolest surface temperatures" is the accurate statement.
Which statement accurately describes the relationship between the surface temperature of the planets and their distances from the Sun?The amount of energy received from the Sun decreases with increasing distance, so the planets farthest from the Sun receive the least energy and therefore have the coolest surface temperatures.
This can be seen in our solar system, where the outer planets (Mars, Jupiter, Saturn, Uranus, and Neptune) are colder than the inner planets(Mercury, Venus, and Earth)
Therefore, the statement "The planets farthest from the Sun have the coolest surface temperatures" is accurate.
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6. Calculate the total monthly cost including another
$300 per month for taxes and another $150 per
month for insurance
Answer:
450 plus whatever other costs there are if there are any
Step-by-step explanation:
300+150=450 so it is 450 plus any other ammount of money you must pay if any
A person cycles from their home to a library which is 8 kilometers away. It takes them 20 minutes to reach the library. They stay there for 30 minutes to read, and then
walk to their friend's home which is 4 kilometers from the library and reach there in 20 minutes. Which graph best represents this situation?
Answer:
The third option
Step-by-step explanation:
Explain why -7 is NOT a solution of x > -5.
Answer: The result can be shown in multiple forms.
Inequality Form:
x>−5
Interval Notation:
(−5,∞)
Step-by-step explanation:
Answer:because if we plug this in it will be -7 > -5, this is false because this is saying that -7 has a greater value that -5.
Step-by-step explanation:
hope the helps<3
Use point-slop form to write the equation of a one that passes through the point (16, -16) with slip 1/2
Step-by-step explanation:
you made so many typos.
let's see :
the point-slope form of a line is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being a point on the line.
in our case
y - -16 = 1/2 × (x - 16)
y + 16 = x/2 - 16/2 = x/2 - 8
y = x/2 - 24
or
y = (1/2)x - 24
Henry is moving and needs to open a new checking account. He is trying to decide between three banks using the chart below:
Bank X
Bank Y
Bank Z
No monthly fees if balance stays above $500, otherwise $7 per month
No monthly fees if check card is used less than 6 times per month
$5 monthly fee
No minimum balance
$25 minimum balance
No minimum balance
Online banking services
Online banking services
Online banking services
Non-Bank X ATM fee - $2.00 per transaction
Non-Bank Y ATM fee - $1.50 per transaction
Non-Bank Z ATM fee - $2.00 per transaction
Henry usually has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options. Bank X and Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home. Which bank should he choose?
Henry has to choose bank Z.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given there are three banks Bank X, Bank Y and Bank Z
For bank X, No monthly fees if balance stays above $500, otherwise $7 per month.
No monthly fees if check card is used less than 6 times per month
$5 monthly fee, No minimum balance, $25 minimum balance, No minimum balance
Has Henry has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options he has to choose bank Z.
Hence, Henry has to choose bank Z.
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Answer: Bank Z
Step-by-step explanation:Bank Z is his best option
Find the value of c. Round to the nearest tenth
The value of x is 24.2.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
Base = 22
Hypotenuse = x
Cos Ф = Base / Hypotenuse
Now,
Cos 24 = 22 / x
0.91 = 22/x
x = 22/0.91
x = 24.18
x = 24.2
Thus,
x is 24.2.
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The owner increases the sale price by the same percent that you found in part a when he buys jackets for $45 and sells them. How many jackets must the owner buy for the total jacket sales to be at least $250?
Answer:
5 jackets
Step-by-step explanation:
Answer:
The owner must buy 6 jackets
Step-by-step explanation:
$45x [tex]\geq[/tex] $250
x [tex]\geq[/tex] 250/45
x [tex]\geq[/tex] 5.55555.....
There can't be a decimal amount of jackets
Please use the law of sines to show me how to solve the triangle please. Thank you .
Answer:
its 47.8 degrees
Step-by-step explanation:
together, teammates Pedro and Ricky got 2665 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player have?
The number of hits by each player are 1195 and 1470 hits, respectively
How to determine the number of hits by each playerLet's call the number of hits that Ricky got "x".
Then, Pedro got x + 275 hits.
The total number of hits for both players is x + (x + 275) = 2665
Solving for x, we get 2x + 275 = 2665
Subtracting 275 from both sides,
We get 2x = 2665 - 275 = 2390
Dividing both sides by 2,
We get x = 2390 / 2 = 1195
So Ricky got 1195 hits and Pedro got 1195 + 275 = 1470 hits.
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Find P(x)=1−2x2−3x3+4x
when x=2
Answer:
-75
I hope this helps,but I think to answer this question you have to replace the x with 2
Solve for x. Justify which angle relationships
you used.
The value of x in the quadrilateral is 112 degrees and the angle relationship is vertical angles.
How to find angles in a quadrilateral?A quadrilateral is a plane figure that has four sides , and also has four corners or vertices. The sum of angles in a quadrilateral is 360 degrees. Examples of quadrilateral are parallelograms, rectangle, square, rhombus etc.
The quadrilateral above has two diagonals that intersect each other. The diagonal AC and BD intersect each other at a points.
The relationship formed are vertically opposite angles. Vertically opposite angles are congruent.
Hence, the sum of angles in a point is 360 degrees.
Let's find x as follows;
2x + 68 + 68 = 360
2x = 360 - 136
2x = 224
x = 224 / 2
x = 112 degrees.
Therefore,
x = 112 degrees
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PLEASE HELP !!!!!!!!!
Find the measure of the three missing angles in the parallelogram below.
The measure of the angles of the parallelogram are: x = 90 degrees, y= 122degress and z=90 degrees
What is a parallelogram?A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides
Remember that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
This implies that y + 58 = 180
Making y the subject of the relation
y=180-58
y=122⁰
Also, since the other two opposite angles are not given, then it means that x=y = 180/2 = 90
this therefore means that x= 90, y= 122 and z= 90 degrees
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