Answer:
$2376
Step-by-step explanation:
Money Marc withholds from his gross income in taxes and deductions: We can do this by multiplying his gross income by the withholding rate of 28%, which gives us 0.28 * $3,300 = $<<0.28*3300=924>>924.
Next, we need to subtract this amount from Marc's gross income to find his net pay. This gives us $3,300 - $924 = $<<3300-924=2376>>2376. Therefore, Marc's monthly net pay is $2376.
25 to 45 in to a fraction
What is 30x2? Id love to know
Your fixed expenses are $1,235.78/month. You want to save 6 months' worth for an emergency fund over a year’s time. How much must you save each month?
Answer:
The correct answer is 514.90
Step-by-step
6-4x=6x-8=2
PLEASE HELP
The value of x is 1.2
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
6-4x = 6x-8+2
group the variable and constant terms
6 +8 -2 = 6x +4x = 10x
12= 10x
=> x= 12/10 = 1.2
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Please help need to turn in asap
Answer:
4.5 or equivalently 4 1/2 or 9/2
All are equivalent
Units are miles/hour
Step-by-step explanation:
Take any two points on the graph. Divide the change in y values to the change in x values and you get the rate
Chosen points: (0, 0) and (2, 9)
Rate of change = (9-0)/(2-0) = 9/2 = 4.5
What is the difference between the place value of a whole number and a place value of a decimal?
The main differences between the place value of the whole number and the decimal is given below
What is decimal ?
Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the term used to describe how numbers are represented using the decimal system.
A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.
Decimals can be classified as non-recurring (as in not repeating or ending), recurring (as in repeating or not terminating), and decimal fractions (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).
The whole number part of the decimal number is the part that lies strictly to the left of the decimal point, and the place value of each digit in the whole number part is given .
The fractional part of the decimal number is the part that lies strictly to the right of the decimal point.
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Find the weight of a 176-cm male to the nearest kg whose BSA = 2.3.
The weight of the male that has a body surface area of 2.3 would be = 108kg
What is Body Surface Area (BSA)?The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.
The formula for BSA = √w×h/3600
The weight of the male = X
The height of the male = 176cm
The BSA = 2.3
From the formula, make w the subject of formula;
w = BSA²× 3600/h
w = 2.3²× 3600/176
w= 5.29×3600 /176
w = 19044/176
w = 108kg
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Examine the rhombus below slove for x 5x-3
Please help it for a test worth 95 points
Answer: I'm pretty sure the answer is either 18.6, or 90
Tell me in the comments if I'm wrong
The vertex form of the equation of a horizontal parabola is given by x=1/4p(y-k)2+h , where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use GeoGebra to create a horizontal parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below.
Part A
Mark the focus of the parabola you are going to create at F(-5, 2). Draw a vertical line that is 8 units to the right of the focus. This line will be the directrix of your parabola. What is the equation of the line?
Part B
Construct the line that is perpendicular to the directrix and passes through the focus. This line will be the axis of symmetry of the parabola. What are the coordinates of the point of intersection, A, of the axis of symmetry and the directrix of the parabola?
Part C
Explain how you can locate the vertex, V, of the parabola with the given focus and directrix. Write the coordinates of the vertex.
Part D
Which way will the parabola open? Explain.
Part E
How can you find the value of p? Is the value of p for your parabola positive or negative? Explain.
Part F
What is the value of p for your parabola?
Part G
Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.
Part H
Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.
Part I
Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work
Part J
To practice writing the equations of horizontal parabolas, write the equations of these two parabolas in vertex form:
focus at (4, 3), and directrix x = 2
focus at (2, -1), and directrix x = 8
Answer:
A. x = 3
B. A = (3, 2)
C. V = (-1, 2)
D. Left
E. See below.
F. p = -4
[tex]\textsf{G.} \quad x=-\dfrac{1}{16}(y-2)^2-1[/tex]
H. See attachment.
[tex]\textsf{J.} \quad x=\dfrac{1}{4}(y-3)^2+3[/tex]
[tex]x=-\dfrac{1}{12}(y+1)^2+5[/tex]
Step-by-step explanation:
Part AThe given focus of the parabola is F (-5, 2).
The equation for a vertical line is x = a.
Therefore, a vertical line that is 8 units to the right of the focus is:
[tex]\implies x=-5+8=3[/tex]
Therefore:
Directrix: x = 3Part BA line that is perpendicular to the directrix is a horizontal line.
The equation for a horizontal line is y = a.
As the horizontal line passes through the focus:
Axis of symmetry: y = 2The point of intersection, A, of the axis of symmetry and the directrix is:
(3, 2)Part CThe vertex of the parabola is the point that is halfway between the focus and the directrix.
Therefore:
Vertex = (-1, 2)Part DThe parabola will open sideways as the axis of symmetry is horizontal.
As a parabola never touches its directrix, this parabola will open to the left.
Part EThe absolute value of p is the distance between the vertex and the focus, and the distance between the vertex and the directrix.
For a sideways parabola, if p > 0 the parabola opens to the right, and if p < 0 the parabola opens to the left.
Part FSince the focus and directrix are 8 units apart, and the parabola opens to the left:
p = -4Part GVertex form of a sideways parabola:
[tex]\boxed{x=\dfrac{1}{4p}(y-k)^2+h}[/tex]
Given:
Vertex = (-1, 2) ⇒ h = -1, k = 2p = -4Substitute the values into the formula:
[tex]\implies x=-\dfrac{1}{16}(y-2)^2-1[/tex]
Part HSee attachment.
Part IRearrange the equation of the parabola shown in the attachment:
[tex]y^2+16x-4y=-20[/tex]
[tex]\implies 16x=-y^2+4y-20[/tex]
[tex]\implies 16x=-(y^2-4y+4)-16[/tex]
[tex]\implies 16x=-(y-2)^2-16[/tex]
[tex]\implies x=-\dfrac{1}{16}(y-2)^2-1[/tex]
This matches the equation in vertex form in part G.
Part JGiven:
Focus = (4, 3)Directrix: x = 2Therefore:
Vertex = ((4+2)/2, 3) = (3, 3)Parabola opens to the right, so p > 0.p = |4 - 3| = 1Therefore, the equation of the parabola with the given parameters is:
[tex]\boxed{x=\dfrac{1}{4}(y-3)^2+3}[/tex]
Given:
Focus = (2, -1)Directrix: x = 8Therefore:
Vertex = ((8+2)/2, -1) = (5, -1)Parabola opens to the left, so p < 0.p = -|2 - 5| = -3Therefore, the equation of the parabola with the given parameters is:
[tex]\boxed{x=-\dfrac{1}{12}(y+1)^2+5}[/tex]
show all work pls help
1. There were 6 boys and 9 girls on the camping trip.
What was the ratio of boys to girls?
What was the ratio of girls to boys?
2. There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
What is the ratio of tomato plants to lettuce plants?
What is the ratio of lettuce plants to cucumber plants?
3. If Jan can buy 10 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 20 copies at the same rate?
The ratios are as follows
Ratio of boys to girls = 2:3
Ratio of girls to boys = 3:2
Ratio of tomato plants to lettuce plants = 1:2
Ratio of lettuce plants to cucumber plants = 4:1
Unit rate = $4
Cost of buying 20 copies = $80
What are ratios?
Ratios compare two numbers, usually by dividing them.
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
For example, if A is five and B is 10, your ratio will be 5/10.
According to the given question:
1) There were 6 boys and 9 girls on the camping trip.
Ratio of boys to girls = 6:9 = 2:3
Ratio of girls to boys = 9:6 = 3:2
2) There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
Ratio of tomato plants to lettuce plants = 4:8 = 1:2
Ratio of lettuce plants to cucumber plants = 8:2 = 4:1
3) If Jan can buy 10 copies of a certain book for $40
Unit rate = 40/10 = $4
Cost of buying 20 copies = 20 x 4 = $80
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Don’t even know where to start! Please help with an explanation, thanks! :)
The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
∠1 + 88 = 180°( angles on a straight line)
∠1 = 180 - 88 which is 92°
∠3 = 64°( corresponding angles are equal)
∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)
∠2 + 92° + 64° = 180
∠2 = 180 - 92 - 64
∠2 = 24°
∠4 + 81 + ∠3 = 180 ( angles on a straight line)
∠4 + 81 + 64 = 180
∠4 = 180 - 64 -81
∠4 = 35°
∠5 = 81°( alternate angles are equal)
In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.
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need help on This question I’ll give you brainliest
Answer: it is A.
Step-by-step explanation: I did the quiz
What is the slope of a linear function that passes
between (2, 7) and (5, 12)?
Answer:
5/3 is the slope
Step-by-step explanation:
Use the slope formula
m = y2 - y1/ x2 -x1
Answer:
Slope = 5/3
Step-by-step explanation:
Formula we use,
→ Slope = (y2 - y1)/(x2 - x1)
Now the required slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (12 - 7)/(5 - 2)
→ [ m = 5/3 ]
Hence, required slope is 5/3.
quick! please help! write the equation of line that has a slope of 7 and passes through the point (1,8)
Answer: y=7x+1
Step-by-step explanation:
y=mx+b
Given:
slope= 7
point is (1,8)
Replace x and y for those numbers:
8=7(1)+b
Solve for b:
8=7+b
b=1
Final equation:
y=7x+1
Help please!!!!!!!!!!!!
Answer:
4.) m > 7
5.) k + (-5) > 30 (The ">" has a line under It)
6.) 0.875
I don't know what it means when it says "graph the solution set" but I simplified it for you!
Analyze and Persevere Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how many miles he drove and trips he made to San Diego.
The expression that shows the number of miles he drove and trips he made to San Diego is; 3850 + yb
How to solve Algebra word problems?Let a round trip to Los Angeles be denoted by the variable; x
Let the number of miles in a round trip to Los Angeles be denoted by the variable a
Let a round trip to San Diego be denoted by the variable: y
Let the number of miles in a round trip to San Diego be denoted with the variable: b
This means that our algebraic equation representing the number of miles driven in all to be: xa + yb
Since the truck driver made 5 round-trips to Los Angeles, then it means that, we have the equation;
5a + yb as the total miles driven in all.
However, from the table attached, a round trip to Los Angeles is 770 miles. Thus;
Total miles driven = 5(770) + yb = 3850 + yb
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8.5 by 11 rectangle folded in half. What is the length of the long side
I guess it sort of depends on whether you are folding the rectangle in half "long-ways" or "short-ways", however, if the rectangle is folded "long-ways", then the length of the new long side would be 5.5, with the shorter end being 4.25, or just 4.2.
Hope this helps!
HELP ME OUT OMG THANKS
Answer: 3 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
7 1/5
Step-by-step explanation:
PLEASE HELP ASAP!!!! FULL ANSWER ONLY!!!
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The quadratic function h = − 16 t^2 + 84 t + 72 models the ball's height above the ground, h , in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? ____________ feet
b) How many seconds does it take until the ball hits the ground? ____________ seconds
a) The ball reaches a maximum height of 182.25 feet.
b) The ball has a travel time of 6 seconds.
How to find the main features of a free fall case by analyzing quadratic equations
In this case we find a kind of uniform accelerated motion known as free fall, in which a particle is accelerated uniformly by gravity and any effect of other forces are neglected. The height of the ball in terms of time is described by a quadratic equation, whose definition is shown below:
h(t) = h' + v' · t + 0.5 · g · t²
Where:
h' - Initial height, in feet.v' - Initial velocity, in feet per second.t - Time, in seconds.g - Gravitational acceleration, in feet per square second.First, write the complete the equation of the height of the ball:
h(t) = - 16 · t² + 84 · t + 72
a) Second, clear the expression on one side and use the discriminant of the quadratic formula:
- 16 · t² + 84 · t + [72 - h(t)] = 0
84² - 4 · (- 16) · [72 - h(t)] = 0
7056 + 64 · [72 - h(t)] = 0
7056 + 4608 - 64 · h(t) = 0
11664 - 64 · h(t) = 0
h(t) = 729 / 4 ft
h(t) = 182.25 ft
The maximum height of the ball is 182.25 feet.
b) Third, use the quadratic formula to determine the roots of the quadratic equation:
t = - 84 / [2 · (- 16)] ± [1 / [2 · (- 16)]] · √[84² - 4 · (- 16) · 72]
t = 2.625 ± (1 / 32) · 108
t₁ = 6 s and t₂ = -0.75 s
The travel time of the ball is 6 seconds.
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If the change in velocity of a car is 30 m/s and the time interval is 5 seconds, the acceleration of the car is ________ m/s2
Answer:
-4 acceleration
Step-by-step explanation:
: )
Pham has 390 National League baseball cards. If this accounts for 75% of his card collection, how many baseball cards does he have in his collection? Use any strategy to solve.
Answer:
520
Step-by-step explanation:
390/3=130, 130x4=520
70% of $10 =_____________________
Answer: 7
Step-by-step explanation:
A questionnaire was given to students in an introductory statistics class during the first week of the course. One question
asked, "How stressed have you been in the last 2 weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being
as stressed as possible?" The students' responses are shown in the frequency distribution. How many students were involved
in the study?
students
Answer:
Step-by-step explanation:
2+0 is zero I mean two and 1+1 is two and 5+ I forgot something and you know you just need to add them up together in it at all your answer
15) A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the
rope is taut while the balloon is directly above a flag pole that is 40 feet from where the rope is
staked down. Find the altitude of the balloon if the rope is 80 feet long. HINT: Use the
Pythagorean Theorem., label the drawing.
A) 2√10 ft
B) 40-√√5 ft
C) 40-√√3 ft
D) 4√ √/30 ft
The altitude of the balloon found using Pythagorean Theorem is 40·√3 feet, the best correct option is option C)
C) 40·√3 ft
What is the Pythagorean Theorem?The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is the same as the sum of the square of each of the two legs of the right triangle.
15) The parameters in the question includes;
Horizontal distance of the flag pole from the point the rope is staked down = 40 feet
Length of the rope to which the balloon is secured = 80 feet
Location of the balloon = directly above the flag pole
Therefore, the altitude of the balloon, the length of the rope, and the horizontal distance from the flag pole from the point the rope is staked form a right triangle, with the length of the rope representing the hypotenuse side.
Let h represent the altitude of the flag pole, using Pythagorean Theorem, we get;
80² = 40² + h²
Therefore; h² = 80² - 40² = 4800
The altitude of the balloon, h = √(4800) = 40·√3
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2/3 = 4x
X = ?
i dont know what this is
Examine the following triangle.
Based on the given information, what is the measure of the missing length, w?
Enter your answer as a number.
Answer:
16
Step-by-step explanation:
You must use the Pythagorean theorem to find w. Because you are looking for a leg, you must do a² - b² = c². This translates to 20² - 12² = w². If you enter the numbers into your calculator 20²- 12² = 256. You must then square root 256, and if you input √256 into your calculator you will get your final answer of w = 16.
Perform The operations!
Step-by-step explanation:
Step 1: 2x²--7x²=9x²
Step 2: 2x--7x=9x
Step 3: -7-+2=-9
Overall answer: 9x²+9x-9
please mark brainliest
Assemble the proof by dragging tiles to the statements and reasons columns.
Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
What are congruent triangles?
When corresponding sides and angles of two triangles are congruent, they are said to be congruent triangles.
Given is figure of triangles,
In Δ ADC and Δ BCD,
AD ≅ BC (given)
∠ BCD ≅ ∠ ADC (given)
DC is common segment in both,
Therefore, Δ ADC ≅ Δ BCD by SAS rule
∠ DAE ≅ ∠ CBE by CPCTC
∠ AED ≅ ∠ BEC by vertically opposite angles postulate.
Δ AED ≅ Δ BEC by AAS rule
DE ≅ CE by CPCTC
Hence, Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
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A bakery offers a sale price of $3.40 for 6 muffins. What is the price per dozen?
Answer: The sale price per dozen would we around $6.80 with no tax included.
Step-by-step explanation:
In 2006 the median yearly family income was about 48,200 per year suppose the average annual rate of change since then is $1240 per year. Write and graph the equality for the annual family incomes y that are less than the median x years after 2006
The inequality for the annual family income is:
y < 1240x + 48,200
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
Let x=0 be the year 2006
The inequality is:
y < 1240x + 48,200
Graphing:
Consider equal sign in place of < symbol
Take random values for x, find corresponding y values and plot them
Mark it as dashed line as shown in the graph because of the inequality symbol "< "
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