Answer:
180
Step-by-step explanation:
xdcjuggggggggggggggggggggg
jared has a wooden board 11 ft long. he wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece. how long will each piece of board be? enter your answers in the boxes.
On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.
What is equation?Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.
The lengths of the shorter and longer pieces of a board should be determined.
the case
Let's say that the shorter parts are x in length.
as stated
Jared has an 11-foot wooden board with him.
In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.
The length of the longer pieces is then equal to 4x - 4.
The equation then becomes
[tex]x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft[/tex]
The shorter pieces will therefore be 3 feet long.
The longer pieces' length -
[tex]4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft[/tex]
The longer pieces will therefore be 8 feet long.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
find the flux of the constant vector field v→=3i→ 2j→−5k→ through a square plate of area 25 in the xz-plane oriented in the positive y-direction.
The flux across a surface is an indicator of the rate at which fluid is flowing through it when there is a fluid flowing in three dimensions and a surface positioned inside that space.
What is Electric Flux?A feature of an electric field is electric flux. One way to conceptualize it is as the quantity of forces interacting in a specific space. According to conventional wisdom, electric field lines begin with positive electric charges and conclude with negative charges. A closed surface's field lines are seen as negative when they are directed into it, and as positive when they are directed out of it.Every field line that is directed into a closed surface continues through the interior and is often directed outward somewhere else on the surface if there is no net charge present within the surface. The net, or total, electric flux is zero because the size of the negative and positive fluxes are just about equal.A closed surface that contains a net charge will have a total flux that is proportional to the enclosed charge, positive if it is positive and negative if it is negative.To Learn more About flux across refer to:
https://brainly.com/question/26289097
#SPJ4
Answer:
The flux of the field through a square of 25 area whose plane is the xz-plane oriented in the positive y-direction.is 50
What is Flux?
Any effect that seems to pass through or move through a surface or substance is referred to as a flux, whether it actually flows or not. There are numerous applications of the concept of flux in applied mathematics and vector calculus. Flux, a vector quantity that describes the size and direction of the flow of a substance or attribute for transport phenomena. Flux is a scalar number in vector calculus, defined as the surface integral of a vector field's perpendicular component over a surface.
According to question
The flux of an field is given by,
ΦE = E.A = EA cos θ
where θ is the angle formed by the field lines and the normal (perpendicular) to the surface, S, and E, the magnitude of the field
vector field is v→=3i→ 2j→−5k→
Solving for each direction separately
Clearly
For i and k then flux is Zero because the angle b/w field and normal to surface is 90° and Cos(90) = 0
Now for j
E = 2
S = 25
θ = 0° (cos0° = 1)
Φ = EScosθ
= 2*25*1
= 50
Therefore, the flux of the field through a square of 25 area whose plane is the xz-plane oriented in the positive y-direction.is 50
To Learn more About Flux, Check out :
https://brainly.com/question/29739579
#SPJ4
Find the complex numbers
The complex numbers are
a. 11 - 3i
b. 2 + i
c. 5 - 6i
What is a complex number?A complex number is a number in the complex plane. It is written in the form r = a + bi where a and b are real numbers and i = √(-1). Also, a is the real part and ib is the complex part of the complex number
How to write the complex numbers?a. Given that the complex number is denoted by r = a + ib where
a = real part and ib = imaginary partSince we have for the given complex number
real part = 11 and complex part = -3iSo, r = real part + imaginary part = 11 + (-3i)
= 11 - 3i
So, the complex number is 11 - 3i
b. Given that the complex number is denoted by r = a + ib where
a = real part and ib = imaginary partSince we have for the given complex number
real part = 2 and imaginary part = iSo, r = real part + imaginary part = 2 + i
= 2 + i
So, the complex number is 2 + i
c. Given that the complex number is denoted by r = a + ib where
a = real part and ib = complex partSince we have for the given complex number
real part = 5 and imaginary part = -6√(-1)So, r = real part + imaginary part = 5 + [-6√(-1)]
= 5 - 6√(-1)
= 5 - 6i (since i = √(-1))
So, the complex number is 5 - 6i
Learn more about complex number here:
https://brainly.com/question/26125074
#SPJ1
three more than twice the sum of a number and half the number equals 105. which equation models this relationship?2 (x one-half x) 3 = 1052 x one-half x 3 = 1052 x 3 = one-half x 105
(x+x/2)*3=105 is the equation for "three times the sum of a number and half the number equals 105."
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. 4 + 6 = 10 is an example of an equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.
Here,
Three more than twice the sum of a number and half the number equals 105,
The equation will be,
(x+x/2)*3=105
The equation for "Three more than twice the sum of a number and half the number equals 105" will be (x+x/2)*3=105.
To know more about equation,
https://brainly.com/question/649785
#SPJ4
at a baseball game the batter hits a ground ball for a base hit and runs to first base. true or false: the batter's distance from the first base bag is a function of time. true or false
The given statement that 'the batter's distance from the first base bag is a function of time.' is false.
If we need to call any quantity a function of any other quantity, we need to know what it means first. For this, we take the example of velocity. If we say that velocity is a function of time, what we mean is that the function is such that we input time and get velocity as the output. That quantity changes as the input increases or decreases.
We can deem distance as a function of time when it changes with respect to it. Here, it is evident that the distance between the batter and the first base is not going to change. Thus, it is not a function of time and the given statement is false.
Learn more about time on
https://brainly.com/question/15356513?referrer=searchResults
#SPJ4
Look carefully at the diagram.
The value of y is ___ °
The value of y in the triangle is 20°
How to find the value of y in the triangle?Consider the labeling on the image I attached
Since vertically opposite angles are equal. Thus:
x = 50°
Since the sum of angles on a straight line is 180°. Thus:
t + 70° = 180°
t = 180°-70°
t = 110°
Since the sum of angles in a triangle is 180°. Thus:
x + t + y = 180°
50 + 110 + y = 180°
160 + y = 180
y = 180 - 160
y = 20°
Therefore, the value of y is 20°
Learn more about angles in a triangle on:
brainly.com/question/7620723
#SPJ1
HELPP ITS FIE TOMORROW NOOOO
Answer: answer below
Step-by-step explanation:
4 (a). 900 grams of flour
work 150x6=900 grams
4 (b). 3 large eggs
work 450÷150=3
5 (a). 2.99
work 11.96÷4=2.99
5 (b). 26.91
work 2.99x9=26.91
6 (a). Can't help
6 (b). 6:12
6 (c). 16:8
6 (d). 10 paws
Can't help on problem 7
2. What is the area of a triangle whose vertices are
a. What is the formula for the area of the triangle?
b. Find the length of the base. Round to the nearest tenth if needed.
c. Find the length of the height. Round to the nearest tenth if needed.
d. Find the area of the triangle.
a) The formula for the area of the triangle is given as follows:
Area = 0.5 x base x height.
b. The length of the base is given as follows: 6.3 units.
c. The length of the height is given as follows: 5 units.
d. The area of the triangle is given as follows: 15.75 units squared.
How to obtain the area of a triangle?The area of a triangle is calculated as half the multiplication of the triangle's base by the triangle's height, as follows:
Area = 0.5 x base x height.
The vertices for the right triangle in this problem are given as follows:
(-4, -1), (2,1), (2,6).
Hence the base of the triangle is of:
[tex]B = \sqrt{(2 - (-4))^2 + (1 - (-1))^2} = 6.3[/tex]
The height is given as follows:
6 - 1 = 5.
Which means that the area of the triangle is of:
Area = 0.5 x 5 x 6.3 = 15.75.
More can be learned about the area of a triangle at https://brainly.com/question/21735282
#SPJ1
#35
On the real number line, what is the midpoint of
-3 and 11?
A. -5
B. 0
C. 4
D. 7
E. 14
Answer:
C. 4
Step-by-step explanation:
You want the midpoint between -3 and 11 on the number line.
MidpointThe midpoint is the average of the end point coordinates:
(-3 +11)/2 = 8/2 = 4
The midpoint is 4.
(b) assume 90 companies were included in the sample. what is the test statistic? (round your answer to three decimal places.)
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years.
a) The hypotheses that can be used to challenge the validity of the claim made by the shareholders' group.
H₀ : u ≤ 9
Hₐ : u > 9
So, the correct option is option (A).
b) T- statistic value is -2.571 for a sample of 90 companies.
c) The critical value for t i.e P-value is 0.0059
d) P-value < α = 0.01, implies reject the null hypothesis. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid. So, the correct option is option(D).
We have given that,
x-bar= 7.27 , σ = 6.38, n = 90
a) Test that the mean tenure for a chief executive officer (CEO) was atleast nine years .
Null and alternative hypothesis is
H₀ : u <= 9
Hₐ : u > 9
b) test statistic:
t =( x-bar - μ ) /σ/√n
=> t = (7.27 - 9 )/6.38/90
=> t = - 1.73/0.67251
=> t = -2.571
c) P-value :
P-value = P( tₙ₋₁ < t) = P(t₉₀₋₁ < t )
=> P-value = P( t₈₉< - 2.571)
=>P-value = P( t₈₉ >2.571)
=> P-value = 1 - P( t₈₉< 2.571)
P-value = 1 - 0.9941 = 0.0059
d) Significance level, = 0.01
we see that p-value= 0.0059 < 0.01
Decision : Reject the null hypothesis H₀
We have no evidence to support the claim.
Hence, we calculate all the required result.
To learn more about Null Hypothesis , refer:
https://brainly.com/question/15980493
#SPJ4
Complete Question :
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x = 7.27 yearsfor CEOs with a standard deviation of
s = 6.38 years.
(a)Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group. multiple choice:
i)H0: μ ≤ 9
Ha: μ > 9
ii)H0: μ ≥ 9
Ha: μ < 9
iii) H0: μ > 9
Ha: μ ≤ 9
iv)H0: μ < 9
Ha: μ ≥ 9
v) H0: μ = 9
Ha: μ ≠ 9
(b)Assume 90 companies were included in the sample. What is the test statistic? (Round your answer to three decimal places.)
c)What is the p-value for your hypothesis test? (Round your answer to four decimal places.)
p-value =
(d) At = 0.01,what is your conclusion? MULTIPLE CHOICE:
Do not reject H0. We cannot conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is valid.Reject H0. We can conclude that the mean tenure of a CEO is significantly lower than 9 years. The claim of the shareholders group is not valid.Use your calculator to evaluate a¯=−3.7meter/second−13.9meter/second21.4second−7.2second. Part A Average acceleration Use your calculator to evaluate -3.7 meter/second-13.9 meter/second 21.4 second-72…
The average acceleration is - 1.24 m/s². The result is calculated by using calculator. See the picture in the attachment!
What is average acceleration?Average acceleration is the rate of change in velocity per unit time. The formula can be expressed as
[tex]\overline{a} = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex]
Where
v₂ = final velocityv₁ = initial velocityt₂ = final timet₁ = initial timeCalculate this average acceleration using calculator!
[tex]\overline{a} = \frac{-3.7 \: m/s \: - 13.9 \: m/s}{21.4 \: s- 7.2 \: s}[/tex]
See the picture in the attachment!
The average acceleration after rounding is
[tex]\overline{a} = -1.23943661972 \: m/s \: /s[/tex]
[tex]\overline{a} = -1.24 \: m/s^{2}[/tex]
Hence, the average acceleration from the data is - 1.24 m/s².
Learn more about average acceleration here:
brainly.com/question/29310400
#SPJ4
Please I need help trying to answer this Simplify (z9z−5)−2.
Answer:
9z^2 -7
Step-by-step explanation:
(z9z−5)−2.
(9z^2−5)−2.
9z^2-5 -2
9z^2-7
Write the problem as a mathematical expression.
Multiply
z9 by z by adding the exponents.
Subtract
2 from −5 .
ANSWER:
z^10 − 7
6. In July, the price of a gallon of gasoline rose 12%. In August it fell 15% of its final July price, ending
the month at $1.19. What was its price at the beginning of July?
According to the question,
Given data in the question,
In July, the price of a gallon of gasoline rose=12%
In august, it fell 15% of its final July price,
Ending the month at 1.19 rupees
Let us consider,
x is the original price at the beginning of July,
then the price of gasoline rose is 112%
=100+2
=112%
=112/100
=1.12
In august it fells 15%=100-15%
=.85%
With the help of given data
the original price is---- x
(1.12) × (.85) x = 2.29
find the value of x
x = 2.29/0.952
x=2.41
x=2.41 was its price at the beginning of July.
To know more about percentage, visit
https://brainly.com/question/29306119
#SPJ1
select the points that are solutions to the system of inequalities. Select all that apply.
The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)
Graph of System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system
In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.
Looking at this graph, the point of intersection is (-5, 3)
The solution to the graph is (-5, 3)
Learn more on graph of system of linear inequality here;
https://brainly.com/question/23093488
#SPJ1
What is the solution of this compound inequality?
Answer: -27≥x OR x>7
Step-by-step explanation:
[tex]\displaystyle\\a)\ -7\geq \frac{x}{3}+2 \\\\\-7-2\geq \frac{x}{3}+2-2\\\\ -9\geq \frac{x}{3} \\\\[/tex]
Multiply both parts of the equation by 3:
[tex]\displaystyle\\-9(3)\geq \frac{x}{3}(3)\\\\\boxed {-27\geq x}[/tex]
[tex]\displaystyle\\b)\ \frac{3x+1}{2} > 11[/tex]
Multiply both parts of the equation by 2:
[tex]\displaystyle\\\frac{3x+1}{2}(2) > 11(2)\\\\3x+1 > 22\\\\3x+1-1 > 22-1\\\\3x > 21[/tex]
Divide both parts of the equation by 3:
[tex]\boxed{x > 7}[/tex]
26. Jeremy has a 20%-off coupon for his purchases at a store. His total purchases are $27.50 without
the coupon.
What is 20% off of Jeremy's purchases?
A. $1.38
B. $5.50
C. $7.50
D. $22.00
The 20% off of Jeremy's purchases is $5.50.
What is discount?
Discount is a noun that designates a sum or a portion taken off of a product's suggested retail price. Check to see if you really need all of that stuff before waiting until after the holiday to buy it. A good or service's price being reduced is referred to by the noun discount.
Given:
Jeremy has a 20%-off coupon for his purchases at a store.
His total purchases are $27.50 without the coupon.
We have to find the 20% off (discount) of Jeremy's purchases.
The 20% off on $27.50 is.
$27.50 x 20% = $27.50 x 0.20 = $5.50
Hence, the 20% off of Jeremy's purchases is $5.50.
To know more about discount, click on the link
https://brainly.com/question/1548141
#SPJ1
Steven uses a ladder to change the bulb in the floodlight on the front of the house because it is 15 feet above the ground. Stephen needs to place the end of the ladder 8 feet away from the house so that it does not crush the flowers in the flower bed.
How tall must the ladder be to reach the height of the floodlight?
(IGNORE MY ANSWER I DIDNT MEAN TO CLICK ON IT)
Answer:
17 feet
Step-by-step explanation:
We can use the Pythagorean therom, since the triangle has a 90 degree angle:
8^2 + 15^2 = x^2
64 + 225 = x^2
x^2 = 289
x = 17 feet
See the attached worksheet.
if your heart rate is 120 beats per minute during strenuous exercise, what is the time per beat in units of seconds? 0.2 s/beat 0.4 s/beat 0.5 s/beat 0.6 s/beat
Therefore ,the heart beat the time per beat in units of seconds is 0.5s/beat.
A well-formed equation in algebra unites two variables with the equals sign to indicate the equality of the two terms. An equation, for instance, is any well-formed formula that consists of two expressions joined by the equals sign in English. An équation, on the other hand, is described as consisting of one or more variables in French.
Here,
Given: your heart rate is 120 beats per minute during strenuous exercise
Thus to calculate time per beat in units of seconds
We,
time per second per beat = total second in a minute /heart rate
time per second per beat =60/120
time per second per beat =1/2
time per second per beat = 0.5 s/beat
Therefore ,the heart beat the time per beat in units of seconds is 0.5s/beat.
To know more about equation , visit
brainly.com/question/12788590
#SPJ4
if it takes 9 days for 4 workers to build a garage how long would it take 3 workers
Answer: 6 days and 18 hours
Step-by-step explanation: 9/4=1.25 1.25x3=6.75 and so on
Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
Oy=x-2
Oy=x+2
Oy=x+3
Oy=x-5
Answer:
y = x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 1 , then
y = x + c ← is the partial equation
to find c substitute (5, 3 ), that is x = 5, y = 3 into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = x - 2 ← equation of line
Find the points on the graph of the function that are closest to the given point.
f(x) = x2, (0,9)
(x,y) smaller value
(x,y) larger value
The locations on the function's graph that are most near the specified point f(x) = x2, (0,9) are approximately 3 units to the right and left, respectively, or (sqr8.5, 8.5).
The initial estimate would be rough to the right and left by around 3 units, or (sqr8.5, 8.5), rounded to the nearest decimal place.
Visually, it is most likely just below y=9 and just below x=3. Additionally, roughly (-3, 9) slightly lower than 3 and 9
Connect the parabola's nearest point to the point at (0,9). Where the two intersect, its slope is the negative inverse of the parabola's slope. The derivative's slope is 2x for the equation f(x) = x2. -1/2x is its inverse negative. The line from (0,9) to the parabola's nearest point has a slope that is perpendicular to the tangent to the parabola at that location.
Get the equation of the line joining (0,9) and the nearest point (x,y) on the parabola using the point-slope formula: 8.5 or y=-1/2 + 9 = (-1/2x)(x)
The closest point's y coordinate is that. The square root of 8.5, including both positive and negative square roots, is the closest point's x coordinate (-sqr8.5, 8.5)
Sqr8.5 =[tex]\sqrt{8.5}[/tex], or approximately 2.91 or -2.91
The process entails finding the equation for the line connecting (0,9) with the parabola's nearest point and then setting the two equations equal. Set the line equation to y=(-1/2x), the parabola equation. The parabola equation is y=[tex]x^{2}[/tex] and the line equation is x + 9.
Equalize them, then find x using the square of the result. The closest point is at x,y. There are two places that are equally far from (0,9), both of which are as close as they can be to 3 at (3,9). (0,9). At the parabola point, that line is not perpendicular to the tangent line (3,9). The line must be perpendicular to the tangent line, which is the slope of the parabola, in order to be closest.
To learn more about parabolas, refer:-
https://brainly.com/question/4074088
#SPJ4
In which of the following cases is the construction of a triangle ABC
possible?
(b) AB = 5 cm, BC = 7 cm. CA = 8 cm
(a) AB = 3 cm, BC = 4 cm, CA = | cm
(C) AB = 9 cm, BC = 4 cm, CA = 3 cm
(d) AB = 10 cm, BC = 7 cm, CA = 8 cm
Answer:
(b)
Step-by-step explanation:
According to the triangle inequality, the sum of any 2 sides of a triangle must be greater than the third side. The only case that satisfies this is option (b)
Which one is not criteria of congruence * ASA SAS AAS SSA?
Answer:
Step-by-step explanation:
well this makes no sese is there any pics
Eh I don't know ???
Picture should be shown...
g a data analyst is working with the world happiness data in tableau. what tool do they use to select the area on the map representing finland? 1 point radial rectangular lasso pan
You can select numerous impressions with the Tableau Lasso Selection tool by tracing a freehand shape around them.
How do they choose the region on the map that Tableau uses to represent Finland? You can select numerous impressions with the Tableau Lasso Selection tool by tracing a freehand shape around them.To display only the nations with a World Happiness score of 3.5 or lower, utilize the Filter tool.By tracing a freehand form around several marks with the Lasso tool, you can choose a group of them.When you wish to include only some marks and eliminate others around them, this tool is helpful.Based on the common values, Tableau creates the view of blended data.For instance, Tableau will match data on "Purple" from the main and "Purple" from the secondary if Color is the linking field in both data sources.To learn more about Lasso Selection refer
https://brainly.com/question/8876082
#SPJ4
jenn switched jobs to one that was within a half mile of her home and she could walk on most days. after about three months, her new boss announced the company was moving 15 miles outside the city. this would mean that jenn would now have an hour and half commute that involved a subway and two busses. her stressor would be considered a
A dictator
Step-by-step explanation:
A store had a sale on holiday decorations. The price d of each item was marked down
70%. Write two expressions to represent the new price.
Answer:
The first expression to represent the new price of an item after the markdown would be:
new price = d * (1 - 0.70)
This expression uses the original price (d) and multiplies it by (1 - 0.70), which is equal to 0.30. This results in the new price being equal to 30% of the original price.
Another way to write this expression would be:
new price = d - (d * 0.70)
This expression also uses the original price (d) and subtracts from it the product of the original price and 0.70. This also results in the new price being equal to 30% of the original price.
Step-by-step explanation:
Nora has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $28, before discount and tax. After the discount, and before tax, the price is $23.24. Find the percent discount
The percentage discount for the good bought by Nora is 17%.
What is the percentage discount?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
In this situation, Nora has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $28, before discount and tax. After the discount, and before tax, the price is $23.24.
The percentage discount will be:
= Discount / Original value × 100
= (28 - 23.24) / 28 × 100
= 4.76 / 28 × 100
= 17%
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Parallelogram MNOP with vertices M(1, 7),
N(8, 5), O(4, 2), and P(-3, 4): and it rotates 180° What will be the new coordinates
The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)
What is a 180 degrees rotation?A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.
And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e (x, y) ⇒ (-x, -y)
How to determine the image of the rotation?The coordinates of the parallelogram are given as
M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)
The rotation is given as 180° rotation
As mentioned above,
We have (x, y) ⇒ (-x, -y)
Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)
So, we have
M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)
Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)
Read more about rotation at
https://brainly.com/question/12508456
#SPJ1
the price of an book is $10. to buy the book. Rosie must also pay 6% sales tax. Rosie wants to know the total price of the book including sales tax.
Turn a percent into a decimal by moving the decimal point two to the left.
10 x 6% = 10 x .06
10 x .06 = .60
Sales tax: 60 cents
Total price: $10.60
a ball is thrown vertically upward from the ground with an initial velocity of 109 ft/sec. use h=−16t2 v0t h0.
Initial velocity of the function = 109 ft/sec.
The given quadratic function is-
h(t) = -16t² + 109t
maximum height;
dh/dt = 0 and d²h/dt² < 0.
Then,
dh/dt = -32t + 109
dh/dt = 0
-32t + 109 = 0
t = 3.4 seconds.
Time when maximum height is reached by the ball is 3.4 second.
Maximum height;
h(t) = -16(3.4)² + 109(3.4)
h(t) = 185.6 ft
Thus, the maximum height obtained by the ball is 185.6 ft.
To know more about the quadratic function, here
https://brainly.com/question/1214333
#SPJ4
The complete question is-
A ball is thrown vertically upward from the ground with an initial velocity of 109 ft/sec. Use the quadratic function
h(t) = -16t2 + 109t to find how long it will take for the ball to reach its maximum height, and then find the maximum height.
