x - 4/3 ≤ 0 is equivalent to x ≥ 4/3, and they both represent the same set of values for x. My friend is correct.
Are the inequalities x ≤ 4/3 and -6x ≤ -8 equivalent?The relationship between two values that are not equal is defined by inequalities.
When we subtract 4/3 from both sides; x ≤ 4/3 can be rewritten as:
x - 4/3 ≤ 0
-6x ≤ -8 can be simplified by dividing both sides by -6 and reversing the inequality which gives:
x ≥ 4/3.
Full question "Your friend says that the inequalities x ≤ 4/3 and -6x ≤ -8 is your friend correct? Explain the reason"
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The legs of a right triangle measure 39 and 80 units. What is the measure of the
hypotenuse? Answer as a number only.
Answer: probably 89
Step-by-step explanation: looked it up "you have the wrong picture up"
The hypotenuse of the given right-angled triangle is 89 units.
From the below figure, the base of the triangle AB = 39 units
The height of the triangle AC = 80 units
To know the hypotenuse of the given triangle we have to use the Pythagoras theorem as shown below,
From the given figure,
BC² = AB² + AC²
BC² = 39² + 80²
BC² = 1521 + 6400
BC² = 7921
BC = √7921
BC = 89.
From the above analysis, we can conclude that the hypotenuse of the given right-angled triangle is 89 units.
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Given question is having the wrong picture. I am attaching required correct picture as below,
12 If the domain of the function f(x) = 2X²-8 is {- 2, 3, 5}, then
the range is
(1) {-16, 4, 92}
(2) {-16, 10, 42}
(3) {0, 10, 42}
(4) {0, 4, 92}
7 part answer pls!!
The consumption of disel in truck A in one day is 102/208 ml and the consumption of truck B is 105/196 ml. Which truck consumed more disel and by how much?
Truck B consumed 0.045 mL more diesel than Truck A.
How to obtain the consumptions of each truck?The fuel consumption for each truck is obtained applying the proportions in the context of the problem.
A proportion is applied as we are converting a fraction to decimal, dividing the numerator by the denominator, as follows:
102/208 ml = 0.49 mL -> divide 102 by 208.105/196 ml = 0.535 mL -> divide 105 by 196. -> consumed more.Hence the difference is given as follows:
0.535 - 0.49 = 0.045 mL.
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I will be giving brainliest plis help me!!!??!!?!??
Answer:sine
Step-by-step explanation:
[tex]6e/7=48\\[/tex]
The solution of the given equation 6e/7 = 48 is given by, e = 56.
Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.
Given the equation is,
6e/7 = 48
We have to solve this equation and have to find the value of 'e' which satisfy this equation.
Solving the given equation we get,
6e = 48*7 [On multiplying 7 with both sides]
6e = 336
e = 336/6 [On dividing 6 from both sides]
e = 56
Hence the solution of the given equation is, e = 56.
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I need helpp please do as many as u can but can you please do the whole thing thank youuuuuu
The values of following in parallel lines are:
Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).
Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).
Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).
Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).
Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).
Option B: 23 is not an example of supplementary angles.
Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.
Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.
Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.
What is parallel lines?Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.
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1. If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares...
2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares...
3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares...
If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is known as the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).
What is the squares about?2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares is greater than the area of the largest square. This can be proven using the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, c² = a² + b - 2ab cos(C). For an obtuse triangle, the cosine of the angle opposite the largest side is negative, which makes the right-hand side of the equation larger than c². Therefore, the sum of the squares of the smaller sides is greater than the square of the largest side.
3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is again the Pythagorean theorem. Let the sides of the squares be a, b, and c, with c being the hypotenuse. Then we have a² + b² = c². The areas of the squares are a², b², and c², respectively, so the sum of the areas of the two small squares is a² + b², which equals the area of the largest square (c²).
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A number "z" when rounded to the nearest whole, is equal to
Find the upper and lower bound of "z"
In order to find the upper and lower bounds of a rounded number:
Identify the place value of the degree of accuracy stated.Divide this place value by 2 .Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound.How to explain the boundThe upper and lower bounds can be found by dividing the degrees of accuracy by 2 and then subtracting and adding with the value to give the lower and upper bounds respectively.
Kindly check the above explanation inorder to know how to calculate the value as your information is incomplete
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How does one find the upper and lower bound of a variable
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
The graphical representation that will be most appreciated for the data would be box plot, because the median can easily be determined from the large set of data. That is option A.
What is a box plot?The box plot is a type of graphical representation of data that gIves more than one detail about the data set such as;
minimum,first quartile,median,third quartile, andmaximum.Box plots allow you to compare multiple data sets better than others dues to the above listed features that it has.
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What is the area of the the triangle
Answer:
15
Step-by-step explanation:
i got tHAT TEST TRUST ME
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HELP I DONT GET THIS!!Add.
(6d²+3d)+(7d+3)
Answer:
the answer is...
Step-by-step explanation:
6d^2 + 10d + 21
A restaurant offers 18 types of pizza. A small cafe offers 1/3 as many types of pizza. How many fewer types of pizza does the small cafe offer?
Answer:
6 fewer pizzas
Step-by-step explanation:
The small cafe offers 6 fewer types of pizza than a restaurant. The restaurant offers 18 different types of pizzas and the cafe offers 1/3 as many types of pizzas which means what we have to find 1/3 of 18.
1/3 of 18 is 6 because 6*3 is 18
18 - 6 = 12 which is the number of pizzas the cafe offers but this is slightly irrelevant to the question because the question is asking how many FEWER pizzas the cafe sells than the restaurant
So, the small cafe offers 6 FEWER pizzas than the restaurant.
Hope this helps!
Fierro Brothers, a discount broker, charges their customers a $19 flat fee per trade. The Sondo Investment House charges a 2% commission. For what amount of stock would both brokers charge the same commission?
The required amount of stock is of $950 for both brokers charge the same commission from the linear equation in one variable.
Let the total amount of stock be x (in dollars).
Fierro Brothers charges their customers a $19 flat fee per trade. Whereas, the Sondo Investment House charges 2% as the commission of trade.
Thus the given condition is Fierro Brothers charges equal commission fee on the required amount of stock as Sondo Investment house.
This relation can be shown in terms of linear equation as,
19 = 2% of x
⇒ 19 = (2/100)x
This linear equation is in the form of linear equation in one variable.
⇒ x= 19*(100/2)
⇒ x = 950
Therefore, on single trade of stock of $950 Fierro Brothers charges $19 fee (flat) as their commission which is equal to the commission earned by Sondo Investment House at the rate of 2% on trade.
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I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The set of inequalities that expresses the given relationships are -6 < -2 and -2 > -4. The correction is second option -6 < -2 and -2 > -4
Writing an inequalityFrom the question, we are to determine the set of inequalities that expresses the relationships
From the given information,
The given relationships are:
A score of -6 is lower than a score of -2. A score of -2 is higher than a score of -4.
First, we will write the first relationship as an inequality
A score of -6 is lower than a score of -2
This means that -6 is less than -2.
Using inequalities symbols, we can write that
-6 < -2
Now,
For the second relationship :
A score of -2 is higher than a score of -4
This means, -2 is greater than -4
Using inequalities symbols, we can write that
-2 > -4
Hence,
The inequalities that express the relationships are -6 < -2 and -2 > -4
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Correct surface area = Brainliest
The surface area of the triangular prism is approximately calculated as: 361.88 mm².
What is the Surface Area of a Triangular Prism?Surface area of any triangular prism = (Perimeter of the triangular base × Length of the prism) + (2 × Base Area)
= (S1 +S2 + S3)(L) + (bh)
Given the following variables:
S1 = 7.21 mm
S2 = 7.21 mm
S3 = 8 mm
L = 14 mm
b = 8 mm
h = 6 mm
Surface area = (7.21 + 7.21 + 8)(14) + (8 * 6)
Surface area = 361.88 mm²
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suppose that you will roll 2, fair 6-sided dice (assume a laplace probability model), and let represent the sum of the results of the two rolls. which is closest to ?
the expected value of the sum of two fair 6-sided dice is 7.
The possible values of the sum of two fair 6-sided dice range from 2 (when both dice show a 1) to 12 (when both dice show a 6). The probability of each possible sum can be calculated using a probability distribution table or by listing all the possible outcomes and counting them.
Here is the probability distribution table:
Sum Number of Outcomes Probability
2 1 1/36
3 2 2/36
4 3 3/36
5 4 4/36
6 5 5/36
7 6 6/36
8 5 5/36
9 4 4/36
10 3 3/36
11 2 2/36
12 1 1/36
The expected value of the sum, denoted E(X), is the sum of each possible value of X multiplied by its probability, or:
E(X) = 2*(1/36) + 3*(2/36) + 4*(3/36) + 5*(4/36) + 6*(5/36) + 7*(6/36) + 8*(5/36) + 9*(4/36) + 10*(3/36) + 11*(2/36) + 12*(1/36)
E(X) = 7
what is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur.
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3. Find volume. Show work, round to 2 decimal places.
*square based pyramid*
the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma
The price of a can of beans is raised from 64
cents to 74
cents.
Approximately what is the percent increase in the price of the can of beans?
Answer: 13%
Step-by-step explanation:
10/74 = 0.13513513513
Scalar and Matrix multiplication What is the dang product???
The result of the vector multiplication of a scalar is a vector.
Vector multiplication of a scalarA vector has both magnitude and direction while a scalar has only magnitude and no direction.
When each element of the vector is multiplied by the scalar when a scalar and a vector are multiplied. The resulting vector is multiplied by the scalar, but it still has the same direction as the original vector. Thus when we multiply the vector by the scalar what we get is a vector as we can see in this question.
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WORTH 35 PTS, HELP
how do you factor completely:
4x^2 + 20x + 200 = 0
it’s a quadratic equation..
the 4x is squared
The factored form of the equation 4x² + 20x + 200 = 0 is 4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))
To factor completely, we can begin by factoring out the greatest common factor of the three terms, which is 4:
4(x² + 5x + 50) = 0
Next, we want to factor the quadratic expression in parentheses.
we can use the quadratic formula, which states that the solutions to the equation ax² + bx + c = 0 are given by:
x = (-b ± √(b² - 4ac)) / 2a
In this case, a = 1, b = 5, and c = 50, so we have:
x = (-5 ± √(5² - 4(1)(50))) / 2(1)
x = (-5 ± √(-175)) / 2
x=-5/2+√7(5/2i)
x=-5/2+√7(- 5/2i)
The factored form of the equation 4x² + 20x + 200 = 0 is:
4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))
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For which angle θ is cos θ = −1?
a. 270° b. 360° c. 450° d. 540°
Answer: Dude adove is WRONGGG
Step-by-step explanation:
ANSWER IS 540
Answer:
c. 540°
Step-by-step explanation:
You want to know which angle θ has cos(θ) = -1.
CosineThe cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...
180° +360° = 540° . . . . . choice D
__
Additional comment
A graph of the cosine function is attached. The horizontal axis is in degrees.
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PLEASE HELP I HAVE TO SUBMIT SOON!!!
She needs 74.25 ft² of glass to cover the pyramid.
How to obtain the surface area of the pyramid?To obtain the surface area of any prism, we combine the areas of all the parts that compose the prism.
The pyramid in this problem is composed as follows:
Square base with side length of 5.5 ft.Four triangles with base 5.5 ft and height of 4 ft.The area of the square base is given as follows:
As = 5.5² = 30.25 ft².
The area of the four triangles is given as follows:
At = 4 x 1/2 x 5.5 x 4
At = 44 ft².
Hence the surface area of the pyramid is given as follows:
S = As + At
S = 30.25 + 44
S = 74.25 ft².
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A windshield wiper is 1.5m long. It's one end is fixed at the point O. The other end
moves from point A to point B by 75°.
Find the area swept by the wiper. Note: Enter your answer in terms of л.
A
1 = 1.5 m
75°
O
diuc?
B
wiper
Answer:
1) 1.5 meters
2) 75° or (5/12)π radians
3) A = (5/12)πr^2
4) A = (5/12)π(1.5^2)
= 15π/16 square meters
= about 2.95 square meters
Can i please have help with this
Answer:
linear
Step-by-step explanation:
its linear because the data shows a straight line:)
Answer:
Linear
Step-by-step explanation:
linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.
Find the set of solutions for each of the absolute value inequalities: |2-5m/2|<14
The solution of the expression is -24/5 < m < 32/5
How to find the solutionsTo solve the absolute value inequality |2 - 5m/2| < 14, we remove the absolute value symbol resulting to two cases which is solved below
Case 1:
2 - 5m/2 < 14
Multiplying both sides by 2
4 - 5m < 28
Subtracting 4 from both sides
-5m < 24
Dividing both sides by -5 and rearranging the equation
m > -24/5
Case 2
2 - 5m/2 < -14
subtracting 2 to both sides
5m/2 < -16
Dividing both sides by -5/2
m < 32/5
Combining the equations
-24/5 < m < 32/5
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Calculate the Social Security and Medicare tax that would be applied to an annual salary of $125,000. Use $106,800 for maximum taxable earnings. (Soc Sec 6.2%, taxed up to $106,800 and Medicare 1.45%).
a. Social Security tax: $77,500.00, Medicare tax: $18,125.00 b. Social Security tax: $7,750.00, Medicare tax: $1,812.50 c. Social Security tax: $66,216.00, Medicare tax: $18,125.00 d. Social Security tax: $6,621.60, Medicare tax: $1,812.50
The calculated Social Security tax is $ 6621.60 on the maximum taxable earning, that is $106800 on the rate of 6.2% and Medicare tax is $1812.50 on the annual salary, that is $125,000 on the rate of 1.45%.
Hence option d is the correct option.
The annual salary of an individual is given as $125,000.
Medicare tax is levied on the annual salary of an individual, that is on $125,000. It is given as 1.45 % on $125,000.
The maximum taxable earnings is $106,800 and Social Security tax is levied on this $106,800. It is given as 6.2% on $106,800.
Thus, applying basic rule of percentage calculation we get,
Earnings from Social Security tax = $(6.2% of 106800)
= ${(62/100*10)(106800)
= $ 6621.60
Earnings from Medicare tax = $(1.45% of 125000)
= $(145/100*100)(125000)}
= $1812.50
Hence option d Social Security tax: $6,621.60, Medicare tax: $1,812.50 is the correct option.
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Label the legs of triangle PQR as a and b and label the hypotenuse c leg a has already been labeled for you
The hypotenuse is c and the other leg is b.
Given is a right triangle we need to label the sides,
The sides are =
PR = a
PQ = c
QR = b
Here, a and b are the legs and c is the hypotenuse of the given right triangle.
Hence the hypotenuse is c and the other leg is b.
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A mountain bike tire completes 15 revolutions and travela 146 feet. Rounded tot the nearest in, how many inches is the diameter of the vike's tire?
The diameter of the bike's tire is 2.325 inches.
What is circumference?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
A mountain bike tire completes 15 revolutions and travels 146 feet.
Now,
1 revolution of a tire is equal to the circumference of the tire.
Since we have 15 revolutions, we should take 15C=146
where C=πd where π is pi (use 3.14 or the pi symbol).
Our equation is:
20πd=146.
Then solve for d:
20 × 3.14 × d = 146
62.8d = 146
d = 146/62.8
d = 2.325 inches.
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9 didvided by 5 and 1 /7th
Answer:
7/4
Step-by-step explanation:
i am sooo sure that the answer is 1.75
a plane slices the three rectangular faces of a right triangular prism but neither of its bases. the plane is not parallel to the bases of the prism. show and describe the plane section that results from the slice
Answer:
Since the prism has three rectangular faces, let's call them faces ABCD, ABEF, and CDFH. Without loss of generality, let's assume that the plane goes through points A, B, and C to slice through all three rectangular faces.
First, let's consider the intersection of the plane with face ABCD. Since the plane goes through points A, B, and C, it must contain the line segments AB and AC. Thus, the intersection of the plane with face ABCD is a triangle with vertices A, B, and some point D' on the edge CD.
Next, let's consider the intersection of the plane with face ABEF. Since the line segments AB and AC both lie entirely within face ABEF, their intersection with the plane gives line segments AB' and AC', respectively. Thus, the intersection of the plane with face ABEF is a quadrilateral with vertices A, B', E, and F.
Similarly, the intersection of the plane with face CDFH is a quadrilateral with vertices C, D', H, and F.
To visualize the resulting plane section, imagine unfolding the right triangular prism so that all its faces lie flat. Then the plane section would look something like this:
B'________E
/| / |
A /_|___/' |
| | | |
| D'- -|-----C
| / |____|/
F|/ H
The intersection of the plane with face ABCD is the triangle ABD', and the intersections with faces ABEF and CDFH are the quadrilaterals AB'EF and CD'HF, respectively.
Overall, the resulting plane section has four sides: AB' and B'E from face ABEF, EF and FD' from face CDFH, and D'A from face ABCD. It has one vertex at A and two vertices, B' and D', that lie on the edge CD. The fourth vertex is at some point E on the edge BE. The shape of the resulting plane section depends on the relative positions of points B and D on the edge CD, and point E on the edge BE.