Round the answer to the nearest cent.
A 30% discount on $47.50 is $
Answer:
14. 25
Step-by-step explanation:
7. What is the solution to the proportion below?
Captionless Image
y = 6/7
y = 18
y = 4.5
y = 24
Find the perimeter and the area of the polygon with the given vertices. J (1,2), K (7,2), L (7,8), M (1,8)
Answer : The perimeter and the area of the polygon with the given vertices is, 24 unit and 36 unit² respectively.
Step-by-step explanation :
First we have to calculate the distance of JK, KL, LM and MJ.
Using distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance between the two coordinates
x and y are the coordinates.
To calculate the distance of JK:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(7-1)^2+(2-2)^2}[/tex]
[tex]d=\sqrt{(6)^2+(0)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
To calculate the distance of KL:
[tex]d=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]
[tex]d=\sqrt{(7-7)^2+(8-2)^2}[/tex]
[tex]d=\sqrt{(0)^2+(6)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
To calculate the distance of LM:
[tex]d=\sqrt{(x_4-x_3)^2+(y_4-y_3)^2}[/tex]
[tex]d=\sqrt{(1-7)^2+(8-8)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(0)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
To calculate the distance of MJ:
[tex]d=\sqrt{(x_4-x_1)^2+(y_4-y_1)^2}[/tex]
[tex]d=\sqrt{(1-1)^2+(8-2)^2}[/tex]
[tex]d=\sqrt{(0)^2+(6)^2}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6[/tex]
The distance of JK, KL, LM and MJ is, 6, 6, 6 and 6.
Now we have to calculate the perimeter of the polygon.
Perimeter of polygon = JK + KL + LM + MJ
Perimeter of polygon = 6 + 6 + 6 + 6
Perimeter of polygon = 24 unit.
Now we have to calculate the area of polygon.
As the distance between the coordinates are equal that means the geometry will be square because in square the all four sides are equal.
Now we have to calculate the area of polygon by using area of square formula.
Area of polygon = Area of square = (side)²
Given: Side = 6
Area of polygon = Area of square = (6)²
Area of polygon = Area of square = 36 unit²
Thus, the area of polygon is, 36 unit²
I need some help with this math question. Please see attachment.
Solve for all values of r 3r/r-5 - 2/r+3=r/r+3
Hey, I have some questions on some math problems for Algebra 2. Think you can help? Here's the first one :)
Some investments in the stock market have gained 10% annually. the total value of the investment, A, and this rate can be found using A= P(1.10)^n where P is the initial value of this investment, and N is the number of years the money is invested. if $1,000 is invested in the stock market at this annual rate of return, what is the expected total value after 18 years?
1. $4,054.47
2. $5,559.92
3. $18,700.00
4. $19,800.00
I originally thought it was $18,700.00 but I don't know
if y varies directly as x, and y=6 as x=-1, find y for the x-value of 5
Answer:
[tex]y=-30[/tex]
Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as
[tex]y=kx[/tex]
where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k
[tex]6=k(-1)[/tex]
so, we get
[tex]k=-6[/tex]
now, we can plug it back
[tex]y=-6x[/tex]
now, we can plug x=5
and we get
[tex]y=-6\times 5[/tex]
[tex]y=-30[/tex]
Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the solutions are:
ANSWER IS ::::: (-2.1)⇒0.2
Answer:
From least to the greatest, the solutions are: (-2.1) to (0.2)
Step-by-step explanation:
Given : Equation -[tex]log (-5.6x + 1.3) = -1-x[/tex]
To Solve : The equation
Step1 : Write the equation :
[tex]log (-5.6x + 1.3) = -1-x[/tex]
Step 2 : To solve the equation we plot the graph,
when we plot the graph the points where y=0 for value of x
Step 3: Points where y=0,x=-2.12 and 0.221 (shown in the attached graph)
Therefore, (x+2.12) and (x-0.221) are the solutions of the equation.
Round to nearest tenth x= -2.1 and 0.2
From least to the greatest, the solutions are: (-2.1) to (0.2)
Look at the picture below // 50 points // PLEASEE HELPP
a rock is thrown from the top of a tall building. the distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x)=-16x62-4x+382 How long after the rock is thrown does it hit the ground
It takes approximately 5.0 seconds for the rock to hit the ground after it is thrown.
Explanation:To find the time when the rock hits the ground, we need to find the value of x when the distance between the rock and the ground is 0. In the given equation, f(x) = -16x^2 - 4x + 382, where f(x) represents the distance between the rock and the ground. We can set this equation equal to 0 and solve for x:
-16x^2 - 4x + 382 = 0
This is a quadratic equation. We can use the quadratic formula to solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Plugging in the values from the equation, we get:
x = (-(-4) ± sqrt((-4)^2 - 4(-16)(382))) / (2(-16))
This simplifies to:
x = (4 ± sqrt(16 + 24512)) / (-32)
x = (4 ± sqrt(24528)) / (-32)
x ≈ (-4 ± 156.49) / (-32)
Since we're dealing with time, the negative value doesn't make sense in this context. So, we take the positive root:
x ≈ (4 + 156.49) / (-32)
x ≈ 160.49 / (-32)
x ≈ -5.0
Therefore, it takes approximately 5.0 seconds for the rock to hit the ground after it is thrown.
There is 30\100 of a liter of orange juice on one container and 5\10 of a liter of pineapple juice in another container. If Mrs. Morales combines the two juices ,how much orange-pineapple juice will she ? Explain how you found your answer.
(60 POINTS)
The measure of angle E, the angle of elevation from point A to point B, is 5(x-2) degrees. The measure of D, the angle of depression from point B to point A is (x + 14) degrees. Find the measure of each angle.
Answer:
measure of angle E equals 20 degrees, measure of angle D equals 20 degrees
A grocery bag can withstand 300 n of force before it rips apart. how many kilograms of apples can it safely hold?
The grocery bag can handle roughly 30.6 kg of apples safely. This conclusion is drawn based on the concept of forces, weight, and the Physics formula for calculating weight.
Explanation:The subject field for this question is Physics and it relates to the High School level. This question is about the concept in physics known as force, in particular, the force related to weight and how it pertains to carrying capacity.
In physics, force is typically given in units of Newton's (N), named after Sir Isaac Newton. The force exerted by a mass due to gravity is its weight. Specifically, weight is calculated through the formula F = m * g, where F is the force (weight), m is the mass in kilograms, and g is the acceleration due to gravity in m/s² (approximately 9.8 m/s² on Earth).
To find out how many kilograms of apples a bag can hold before it rips, we can use this formula and solve for m (mass). Given that the force the bag can withstand before ripping is 300 N, we have 300 N = m * 9.8 m/s². Isolating m gives us m = 300 N / 9.8 m/s² which is approximately 30.6 kg. Therefore, the bag can safely hold around 30.6 kg of apples.
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find the roots of the polynomial equation x^3-x^2+x+39=0
please help me help!!!!!!!!!!!!
There are twenty-three red marbles and two blue marbles in a box. a marble is randomly chosen from the box, its color noted, then put back in the box. this process is repeated. what is the probability that (a) the first marble is blue? (b) the first four marbles are red? (c) the first four marbles are red and the fifth is blue?
I need help plz, i dont understand it, its english class, i dont like english class
As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angle of depression of the closer side of the fence was 32°, and the angle of depression of the farther side of the fence was 27°. If the height of the balloon was 800 feet, estimate the width of the field. Round your answer to the nearest foot. 2016_01_25_17_23_501.png The width of the field is about feet
What is the best estimation of mean for this data set.
5 is correct I did this quiz
5 is the best estimation of mean for the given data set.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In the given data, the number of sites ae given in y axis and number of shield daters on x axis.
From the given dart let us construct a table
Number of sites Number of shield darters
2 3
3 1
4 4
6 2
7 3
8 1
9 1
By using the mean formula we get the mean as 5
Hence, 5 is the best estimation of mean for the given data set.
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The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write es002-1.jpg as a single radical? Explain.
The radicands are powers of the same base, so they can be written using rational exponents.
Simplify the quotient of the exponential expressions by getting a common denominator and subtracting exponents.
The simplified expression is the 4th root of y
The expression can be written as a single radical by covertong the expression to a rational format such that both the denominator and numerator have the same base as y¼
Numerator = The 4th root of y³ = y¾Denominator = squareroot of y = y½Using indices :
Division sign signifies the powers should be subtracted[tex] \frac{y¾}{y½} = y^{¾ - ½} = y¼[/tex]
Therefore, the expression can be written as a single radical thus y¼
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I need help please Brainliest
Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?
Let xx be the width of the river. It is given that, when they have met the first time, boat11 has travelled 14001400 m and boat22, (1400−x)(1400−x) metres.
When they meet for the second time, boat11 has travelled 600+(x−1400)=(x−800)600+(x−1400)=(x−800) m, and boat22, 1400+(x−600)=(x+800)1400+(x−600)=(x+800) m.
Note that, the relationship of the distances each traveled, is the same to both meetings. Thus,
14001400−x=x−800x+80014001400−x=x−800x+800⇒x=?⇒x=?Hope you can take it from here.(35 points) Fred played golf and for the past 5 times had a score of 72, 79, 73, 81, and 70. What was his average score? A. 75 B. 77 C. 85 D. 375
The average score of Fred is 75.
What is the average value?The common cost of a characteristic over language is described to be crucial of the feature divided by way of the period of the interval.
calculation:-
a score of 72, 79, 73, 81, and 70.
nu,ber of times = 5
total score = 72+79+ 73+ 81+ 70.
= 375
average score = 375/5
= 75
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MEDAL PLEASE HELP
A compact disc is designed to last an average of 4 years with a standard deviation of 0.9 years. What is the probability that a CD will last less than 3 years?
1.11%
13.35%
86.65%
100%
please help ASAP
the vertices of pqr are p(-3, 8), q(-6, -4), and r(1, 1). if you reflect pqr across the x-axis, what will be the coordinates of the vertices of the image p'q'r'?
A zoo has 15 emperor penguins. The emperor penguins make up 30% of all the penguins at the zoo. How many penguins live at the zoo?
Answer:
30% = 15
1% = 15/30
= 1/2
100% = 100 x 1/2
= 50
there are 50 penguins in the zoo.
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment
Answer:
Using a compass.Step-by-step explanation:
Using a compass ensures that the new segment has the same length as the original one. Taking a pivot point and then drawing a arc, this distance is the copy.
Find the distance between the two points. Round to the nearest tenth if necessary. (10, –4), (5, 8)
169
7
13
16
Triangle ABC is similar to triangle DEF. The length of AC---- is 12 cm. The length of EF--- is 15 cm. The length of DF---- is 9cm.
What is the length of BC----?
Enter your answer in the box
____ cm
The triangle ABC and triangle DEF are similar so the value of the length of BC is 20 cm and this can be determined by using the properties of a similar triangle.
Given :
Triangle ABC is similar to triangle DEF.The length of AC is 12 cm. The length of EF is 15 cm. The length of DF is 9cm.The following steps can be used to determine the length of BC:
Step 1 - According to the given data, triangle ABC is similar to triangle DEF.
Step 2 - So, according to step 1:
[tex]\rm \dfrac{AC}{DF} = \dfrac{BC}{EF}[/tex]
Step 3 - Substitute the values of length AC, DF, and EF in the above equation.
[tex]\rm \dfrac{12}{9} = \dfrac{BC}{15}[/tex]
Step 4 - Multiply 15 on both sides in the above expression.
[tex]\rm \dfrac{12}{9}\times 15 = BC[/tex]
Step 5 - Simplify the above expression in order to get the value of the length BC.
BC = 20 cm
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Combine like terms to simlify the expression: 2/5k—3/5+1/10k