Semd a pic of a graph bc I dont have paper
The point (-3,4) when reflected across the x-axis results in new coordinates (-3, -4), changing the sign of the y-coordinate.
The question asks for the new coordinates of a point after being reflected across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate but leaves the x-coordinate unchanged. Therefore, if we have a point (-3, 4) and we reflect it across the x-axis, the x-coordinate remains -3, and the y-coordinate, which is 4, will become -4, resulting in the new coordinates (-3, -4).
the length of a slide at a water park is 50 feet from the top of the slide to ground level the top of the slide is 20 feet above the ground what is the approximate measure of the angle formed by the top of the slide and vertical support
Answer:
66
Step-by-step explanation:
cos 0=20/50
The approximate measure of the angle formed by the top of the slide and the vertical support is approximately 21.8 degrees.
In trigonometry, the tangent function can help us find the angle in a right-angled triangle. The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side. In this case, the side opposite the angle is the height of the slide (20 feet), and the adjacent side is the length of the slide (50 feet).
Now, we can use the tangent function to find the angle (θ):
tan(θ) = Opposite / Adjacent
tan(θ) = 20 feet / 50 feet
tan(θ) = 0.4
To find the value of θ, we can take the inverse tangent (also known as arctan or tan⁻¹) of 0.4:
θ ≈ arctan(0.4) ≈ 21.8 degrees
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3 tons of dirt cost $360.00. What is the price per pound
Answer: $0.12 per pound
Step-by-step explanation:
divide $360.00 by 3, then divide it by 1000, because 1000 lbs is 1 ton
Final answer:
To calculate the price per pound of dirt, divide the total cost of $360.00 by the total weight of 6000 pounds, resulting in a cost of $0.06 per pound.
Explanation:
The student asked how much it would cost per pound if 3 tons of dirt cost $360.00. First, it's essential to know how many pounds are in a ton. There are 2000 pounds in one ton. So for 3 tons, there would be 6000 pounds (3 tons x 2000 pounds/ton).
Next, to find the price per pound, you would divide the total cost by the total weight in pounds. That's $360.00 divided by 6000 pounds, which equals $0.06 per pound.
Therefore, the price per pound of dirt is $0.06.
8s-10=27-(3s-7) What does “s” equal?
Answer:
s = 4
Step-by-step explanation:
Solve for s:
8 s - 10 = 34 - 3 s
Add 3 s to both sides:
8 s + 3 s - 10 = (3 s - 3 s) + 34
3 s - 3 s = 0:
8 s + 3 s - 10 = 34
8 s + 3 s = 11 s:
11 s - 10 = 34
Add 10 to both sides:
11 s + (10 - 10) = 10 + 34
10 - 10 = 0:
11 s = 34 + 10
34 + 10 = 44:
11 s = 44
Divide both sides of 11 s = 44 by 11:
(11 s)/11 = 44/11
11/11 = 1:
s = 44/11
The gcd of 44 and 11 is 11, so 44/11 = (11×4)/(11×1) = 11/11×4 = 4:
Answer: s = 4
surface area of a pyramid. The base is a square with sides 4 inches long. the other faces are isosceles triangles. the ratio of the height of each triangle to its base is 3:2. Give the base length and the height of each triangular face
Answer:
Base of each triangular face = 4 inches
Height of each triangular face = 6 inches
Step-by-step explanation:
The length of each side of the square base is the base of each isosceles triangle forming the pyramid.
We know from our problem that the ratio of the height of each triangle to its base is 3:2, so [tex]\frac{height}{base} =\frac{3}{2}[/tex]. We also know that the base is a square with sides 4 inches long, since the bade of the square is the base of the isosceles triangle, [tex]base=4[/tex].
Replacing the value of the base in our proportion:
[tex]\frac{height}{base} =\frac{3}{2}[/tex]
[tex]\frac{height}{4} =\frac{3}{2}[/tex]
Multiply both sides by 4
[tex]\frac{height}{4}*4 =\frac{3}{2}*4[/tex]
[tex]height=\frac{3*4}{2}[/tex]
[tex]height=\frac{12}{2}[/tex]
[tex]height=6[/tex]
We can conclude that he base of each isosceles triangle is 4 inches and its height is 6 inches.
Hillary joins a gym. She pays $15 per month plus $13.75 for each personal training session she does. If her monthly bill is $125, how many personal training sessions did she get that month?
Subtract the monthly fee from the total, then divide by the price of each session.
125 - 15 = 110
110 / 13.75 = 8
She got 8 sessions.
The ordered pair (-9, 1) is a solution to the inequality y ≤ 2x - 7
Replace x in the equation with the x value from the ordered pair and see if the y value meets the inequality.
y ≤ 2(-9) -7
y ≤ -18 - 7
y ≤ -25
The y value in the ordered pair is 1, so replace y with 1 and see if the inequality is true:
1 ≤ -25
1 is a positive value and the equation equals a negative value, so this is not true, because 1 is greater than -25.
A cylindrical-shaped cup has a height of 7 centimeters and a volume of 112 cubic centimeters. Henry fills the cup completely full of water. He then pours the water from the cup and completely fills a cone. If the cone has the same radius as the cup, what is the height of the cone?
let's bear in mind that the cylinder and the cone both have the same volume of 112 cm³, and the same radius, but different heights.
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} V=112\\ h=7 \end{cases}\implies 112=\pi r^2(7)\implies \cfrac{112}{7\pi }=r^2\implies \cfrac{16}{\pi }=r^2 \\\\\\ \sqrt{\cfrac{16}{\pi }}=r\implies \cfrac{\sqrt{16}}{\sqrt{\pi }}=r\implies \cfrac{4}{\sqrt{\pi }}=r \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \qquad \begin{cases} r=\frac{4}{\sqrt{\pi }}\\ V=112 \end{cases}\implies 112=\cfrac{\pi \left( \frac{4}{\sqrt{\pi }} \right)^2(h)}{3} \\\\\\ 336=\pi \left( \cfrac{4^2}{(\sqrt{\pi })^2} \right)h\implies 336=\pi \cdot \cfrac{16h}{\pi }\implies 336=16h \\\\\\ \cfrac{336}{16}=h\implies \blacktriangleright 21=h \blacktriangleleft[/tex]
Calculate the radius of the cup using its volume and height. Determine the cone's height by applying the cup's height to the volume formula for a cone after elimination.
The volume of the cup:
The formula for the volume of a cylinder: V = πr²h.
The formula for the volume of a cone: V = (π/3)r²h.
(πr²h)cylinder = ((π/3)r²h)cone
Since the cone has the same radius as the cylindrical cup and given h = 7 cm
Finding the height of the cone by eliminating:
[tex]h_{cylinder}[/tex] = [tex]h_{cone}[/tex]×(1/3)
[tex]h_{cone}[/tex] = 3 × 7 = 21
Therefore, height of cone is 21 cm.
4/3+6=1/4x
Solve the equation
Answer:
Step-by-step explanation:
cross multiply
4*4x=1*3+6
16x=9
x=9/16
You are riding your bike and notice the square sign above. You mentally draw a straight line from point A to C.
1. Describe the angle relationship between ∠DCA and ∠BCA
2. Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning
(both questions are separate)
1. The angles DCA and BCA are the same.
2. Angles DCA and BCA are not supplementary. Since the both of them add up to 90° (we know that angle c is equal to 90° because in a right square all angles are 90°) the angles would be complementary, not supplementary. Supplementary angles add up to 180°
The angle relationship between ∠DCA and ∠BCA are equal and they are complementary angles.
What is a square?A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.
Given that, ABCD is a square.
Here, a straight line from point A to C.
1) AC is diagonal, ∠DCA and ∠BCA are equal.
2) ∠DCA and ∠BCA are equal and added to 90°.
Therefore, the angle relationship between ∠DCA and ∠BCA are equal and they are complementary angles.
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In the figure, mAB = 39° and mCD = 17°. The diagram is not drawn to scale.
What is the value of x?
A. 56°
B. 47.5°
C. 28°
D. 19.5°
It’s c which is 28 degree Celsius
The value of x will be equal to 28. The correct option is C.
What is intersecting chord theorem?'The intersecting chords theorem is a statement that describes a relation of the four-line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.'
According to the given problem,
Given,
AB = 39CD = 17We know, according to intersecting chords theorem,
⇒ x = [tex]\dfrac{CD + AB}{2}[/tex]
⇒ x = [tex]\dfrac{56}{2}[/tex]
⇒ x = 28
Hence, we can conclude, that the value of x is 28.
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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?
5,–1, –7, –13, –19
Answer:
[tex]f(n)=f(n-1)-6[/tex], where [tex]f(1)=5[/tex] and [tex]n\:>\:1[/tex]
Step-by-step explanation:
The terms of the sequence are:
[tex]5,-1,-7,-13,-19[/tex]
The first term of this sequence is [tex]f(1)=5[/tex].
There is a constant difference among the terms.
This constant difference can determined by subtracting a previous term from a subsequent term.
[tex]d=-1-5=-6[/tex]
The general term of this arithmetic sequence is given recursively by [tex]f(n)=f(n-1)+d[/tex]
We substitute the necessary values to obtain:
[tex]f(n)=f(n-1)+-6[/tex]
Or
[tex]f(n)=f(n-1)-6[/tex], where [tex]f(1)=5[/tex] and [tex]n\:>\:1[/tex]
Answer:
C
Step-by-step explanation:
The Finest Hour department store wants to run a special ad this week in The Country Times. It wants to run a half-page ad on Friday, and a full-page ad on Saturday and Sunday. How much will it cost the Finest Hour for the ads?
Sorry this took awhile.
So for Friday, it would be $550
Saturday, $895
Sunday, 1,095
So the total is $2540 if you add the numbers up. Hope this helps!
After eliminating radicals, what quadratic equation can you solve to find the potential solutions of sqrt 2x+3 - sqrt x+1 = 1
Answer:
Step-by-step explanation:
We have given:
√2x+3 - √x+1 = 1
First of all isolate the square root of the left hand side:
√2x+3 = √x+1 +1
Now take square on both sides.
(√2x+3)^2 = (√x+1 +1)^2
Open the R.H.S by squaring formula.
∴(a+b)^2 = a^2+2ab+b^2
2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2
2x+3 = x+1 +2√x+1 +1
2x+3 = x+2 +2√x+1
Combine the like terms:
2x-x+3-2 = 2√x+1
x+1 = 2√x+1
Take square on both sides
(x+1)^2 = (2√x+1)^2
x²+2x+1 = 4x+4
x²+2x-4x+1-4 = 0
x²-2x-3 = 0
Now solve the quadratic equation:
a = 1 , b= -2 , c = -3
x = -b+/-√b²-4ac/2a
x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)
x = 2 +/- √4+12 / 2
x = 2+/- √16/2
x = 2+/- 4 /2
x = 2+4/2 , x = 2-4/2
x = 6/2 , x = -2/2
x = 3 , x = -1
The solutions we get is (3, -1).
Answer:
Quadratic Equation: x²-2x-3 = 0
Solutions (Next Question): (3, -1)
Step-by-step explanation:
Absor201 is correct! (look at the BOLDED text in their answer)
A rectangle is 7 cm Long and 6 cm wide what is it's area
Answer:
A = 42 cm^2
Step-by-step explanation:
To find the area of a rectangle , multiply the length and the width
A = lw
A = 7cm * 6 cm
A = 42 cm^2
if f(x)=x^2 - 12, solve for f (x+4)
Answer:
f(x + 4) = x² + 8x + 4Step-by-step explanation:
Instead of x substitute (x + 4) to f(x) = x² - 12
f(x + 4) = (x + 4)² - 12 use (a + b)² = a² + 2ab + b²
f(x + 4) = x² + 2(x)(4) + 4² - 12
f(x + 4) = x² + 8x + 16 - 12
f(x + 4) = x² + 8x + 4
Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5
A) y=x+4/5
B) y=4/5x
C) xy = 4/5
D) x+y=4/5
Answer:
Option B) y=4/5x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have that
case A) y=x+4/5
The line does not passes through the origin, is not a proportional relationship
case B) y=(4/5)x
The line passes through the origin ---->represents a proportional relationship
The slope m is equal to the constant of proportionality k
The slope m=4/5
therefore
The line y=4/5x
Represents a proportional relationship that has a constant of proportionality equal to 4/5
case C) xy=4/5
Represent an inverse variation is not a proportional relationship
case D) x+y=(4/5)
The line does not passes through the origin, is not a proportional relationship
Answer:
The Answer is B.
Step-by-step explanation:
Trust me .
Given: is a diameter
m 1 = 100°
m BC= 30°
m AD=
50
80
100
Answer:
100
Step-by-step explanation:
1=ad=100
and I need more characters so don't mind me.
Answer:
The correct option is 3. The measure of arc AD is 100°
Step-by-step explanation:
Given information: BD is a diameter, ∠1 = 100° and arc BC=30°.
The central angle of an arc is the measure of arc.
From the given figure it is clear that the central angle of arc AD is equal to the angle 1.
[tex]Arc(AD)=\angle 1[/tex]
It is given that ∠1 = 100°
[tex]Arc(AD)=100^{\circ}[/tex]
The measure of arc AD is 100°, therefore the correct option is 3.
Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
–9
8
9
36
Answer:
9
Step-by-step explanation:
When the leading coefficient (the coefficient of the x² term) is 1, we can complete the square by taking the b coefficient (coefficient of the x term), dividing it by 2, squaring the result, and adding it to both sides.
b = -6
b/2 = -3
(b/2)² = 9
Add 9 to both sides to make the left side a perfect-square trinomial.
To form a perfect square trinomial from the equation x²-6x, add 9 to both sides. This is achieved by halving the coefficient of x and squaring the result.
Explanation:Amira can make the left side of the equation, x² - 6x, a perfect-square trinomial by adding 9 to both sides. The process for this involves completing the square. Half of the coefficient of x, which is -6, is -3. Squaring -3 gives 9. Therefore, Amira should add 9 to both sides of the equation to get x² - 6x + 9 = 1 + 9, simplifying to (x-3)² = 10. This results in a perfect-square trinomial on the left.
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A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement is closest to the volume of cereal that the cone-shaped dispenser holds?
Possible Answers:
A - 3.75
B - 11.78
C - 141.37
D - 47.12
Answer:
Option B. [tex]11.78\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cone is equal to
[tex]V=\frac{1}{3} \pi r^{2}h[/tex]
we have
[tex]r=1.5\ in[/tex]
[tex]h=5\ in[/tex]
substitute
[tex]V=\frac{1}{3} \pi (1.5)^{2}(5)[/tex]
[tex]V=3.75\pi\ in^{3}[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]V=3.75(3.14)=11.78\ in^{3}[/tex]
Write the slope-intercept form of the equation for the line.
let's use those two endpoints in the line of (-5 , 2) and (5 , -1)
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-2}{5-(-5)}\implies \cfrac{-3}{5+5}\implies -\cfrac{3}{10}[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=-\cfrac{3}{10}[x-(-5)]\implies y-2=-\cfrac{3}{10}(x+5) \\\\\\ y-2=-\cfrac{3}{10}x-\cfrac{3}{2}\implies y=-\cfrac{3}{10}x-\cfrac{3}{2}+2\implies y=-\cfrac{3}{10}x+\cfrac{1}{2}[/tex]
Answer:
y=-(3/10)x+(1/2)
Step-by-step explanation:
Let
A(-5,2),B(5,-1)
step 1
Find the slope m
m=(-1-2)/(5+5)
m=-3/10
step 2
Find the equation of the line into slope point form
we have
m=-3/10
point A(-5,2)
y-2=(-3/10)(x+5) ----> equation of the line into slope point form
Convert to slope intercept form -----> isolate the variable y
y=-(3/10)x-(15/10)+2
y=-(3/10)x+(5/10)
simplify
y=-(3/10)x+(1/2)
This consists of more than one answer. Please read carefully!! Use the first attachment for the two questions.
**Part A**
Write a simplified equation to solve for x in terms of AT, the area of the tile. If necessary, use rational coefficients instead of root symbols.
**Part B**
If the tile is a square with a length of b centimeters, what would AT be in terms of b?
Answer:
Part A)AT=16x^2
Part B)AT=4b^2 +12x^2
Step-by-step explanation:
Part A:
length of each side of square in tile=x
length of each small base side of trapezoid in tile=x
length of each large base side of trapezoid in tile=2x
height of each trapezoid in tile=x
Area of each square in tile= x^2
Area of each trapezoid in tile= x(x+2x)/2
= (3x^2)/2
area of squares inside tile= 4(x^2)
area of trapezoids inside tile= 8[(3x^2)/2]
Area of tile, AT= area of squares inside tile+area of trapezoids in tile
AT= 4(x^2) + 8[(3x^2)/2]
= 4x^2 + 12x^2
= 16x^2
Part B)
if If the tile is a square with a length of b centimeters then AT
= 4b^2 +12x^2 !
15 points!!!
Two right triangles are shown below.
Which statement is true?
There is a dilation centered at the origin with scale factor 2 transforming triangle I into triangle III.
There is a dilation centered at (-2,0) with scale factor 2 transforming triangle I into triangle III.
There is a dilation centered at a point off of the x-axis transforming triangle I into triangle III.
There is no dilation transforming triangle I into triangle III.
Answer:
The correct option is 4.
Step-by-step explanation:
If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.
In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.
In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.
[tex]\frac{1}{1}\neq \frac{1}{2}[/tex]
The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.
Therefore the correct option is 4.
Answer:
There is no dilation transforming triangle I into triangle II.
Step-by-step explanation:
Tickets to the concert cost $5.00 for adults and $2.50 for children. A group of 17 people went to the concert and paid $57.50 for tickets. How many adult tickets were purchased? How many children's tickets were purchased?
6 adults and 11 children.
In order to solve this problem we going to use linear equations.
A group of 17 people went to the concert. There are adults and children in that group x + y = 17 where x are adults and y are children. That group pay $57.50 for tickets, if tickets cost $5.00 for adults and $2.50 for children, then 5.00x + 2.50y = 57.50.
x + y = 17 ----------> y = 17 - x
Substituting the value of y in the equation 5.00x + 2.50y = 57.50:
5.00x + 2.50(17 - x) = 57.50 solving
x = 6
Substituting x = 6 in the equation x + y = 17
6 + y = 17 solving
y = 11
From a group of 17 people who went to the concert 6 are adults and 11 are children.
Which pay rates are common ways employers pay employees?
commission
daily pay
hourly pay
quarterly pay
salary
Reset
help ASAP
Answer:
The employers pay their employees based on hourly rates, commission and salary.
Step-by-step explanation:
The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.
The final salary is based on the numbers of hours worked multiplied by the hourly rate.
Secondly, the pays are also commission based. That is your base salary plus the commission.
The salary is typical in management positions. These are not hourly based but a lump sum pay.
So, the correct answers are : commission, hourly pay and salary.
Answer:
commission
hourly pay
salary
Step-by-step explanation:
PLATO USERS
5(x + 2)
F(x) -
y - 11x + 7)
Answer:
Problem:
Solve x+y=7;x+2y=11
Steps:
I will try to solve your system of equations.
x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxinx+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute4foryinx=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=4
If y varies directly as x and y=4 when x=-2 find y when x=30
Answer:
Step-by-step explanation:
y=kx
4=k(-2)
k=-2
y=-2x
when x=30
y=-2*30=-60
Classify the system of equations
- 1/2x = -6 - y
3+y= 1/2x + 4
(2 points, 1 for work shown, 1 for correct classification with reasoning)
Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Solve for y from each equation:
Equation 1:
[tex]-\frac{1}{2} x = -6 - y\\\\y-\frac{1}{2} x = -6\\\\y=\frac{1}{2} x-6[/tex]
Equation 2:
[tex]3+y= \frac{1}{2} x + 4\\\\y= \frac{1}{2} x + 4-3\\\\y= \frac{1}{2} x+1[/tex]
A system of equations can be classified by its number of solutions.
You can observe that the slopes of both equations are the same but the y-intercepts are different, then these lines are parallel, which means that they do not intersect.
By definition, when to lines are parallel there is NO SOLUTION and the system is classified as "Inconsistent".
what is the y=value of the vertex
y=-x squared -10x+24
Answer:
49
Step-by-step explanation:
y = -x² - 10x + 24
For a parabola ax² + bx + c, the vertex is at x = -b/(2a).
In this case, a = -1 and b = -10. So:
x = -(-10) / (2 * -1)
x = -5
The y coordinate is:
y = -(-5)² - 10(-5) + 24
y = -25 + 50 + 24
y = 49
Brett is paid $18.95 per hour with time and a half for overtime. What will his gross pay be for a pay period in which he worked 42 hours one week and 36 hours the next week for a total of 78 hours?
The gross pay will be $1496.78
What is Unitary Method ?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Brett is paid $18.95 per hour.
For 0 to 40 hours a week,
For any hours over 40, Brett makes
= 1.5 ($18.95)
= $28.425/hour
In Week 1: 40 hours x $18.95/hour = $758
2 hours x $28.425/hour = 56.85
Week 2: 36 hours x $18.95/hour = 682.2
So, total pay= 758 + 56.58+ 682.2 = $1496.78
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Final answer:
Brett's gross pay for working 42 hours one week and 36 hours the next, for a total of 78 hours, is $1495.05, which includes 2 hours of overtime pay.
Explanation:
Brett is paid an hourly wage of $18.95, with overtime paid at 1.5 times his regular rate. To calculate Brett's gross pay for the two-week pay period where he worked 42 hours one week and 36 hours the next week, we have to account for the fact that he worked 2 hours of overtime in the first week (since he worked more than 40 hours).
Step-by-Step Calculation
Regular hours for two weeks: 40 hours + 36 hours = 76 hours.Overtime hours for the first week: 42 hours - 40 hours = 2 hours.Calculate regular pay: 76 hours x $18.95/hour = $1438.20.Calculate overtime pay: 2 hours x ($18.95/hour x 1.5) = $56.85.Add regular and overtime pay: $1438.20 + $56.85 = $1495.05.Brett's gross pay for the 78 hours worked would be $1495.05.
What is the value of -6x3-y2-3xy if x=-2 and y=4
The answer is:
The value of the given expression evaluated with x equals to -2 and y equals to 4, is equal to 56 units.
Why?To solve the problem, we need to evaluate both variables for the given values:
[tex]x=-2[/tex]
and
[tex]y=4[/tex]
So, we are given the expression:
[tex]-6x^{3}-y^{2}-3xy[/tex]
Then, evaluating the given values for both variables, we have:
[tex]-6*(-2)^{3}-(4)^{2}-3*(-2)*(4)=(-6*-8)-(16)+24=48-16+24=56[/tex]
Hence, we have that the answer is:
The value of the given expression evaluated with x equals to -2 and y equals to 4, is equal to 56 units.
Have a nice day!
Answer:
The value of given expression = 56
Step-by-step explanation:
It is given an expression in variable x and y
-6x³ - y² - 3xy
To find the value of given expression
Let expression be,
-6x³ - y² - 3xy
When x = -2 and y =4
-6x³ - y² - 3xy = -6(-2)³ - 4² - (3 * -2 * 4)
= -6*-8 - 16 + 24
= 48 - 16 + 24
= 56
Therefore the value of given expression is 56