Answers
To find the mid segment you would use the formula below:
1/2(base 1 + base 2) = midsegment
In this problem you would do the following steps:
1/2(4+x) = 6
2[1/2(4+x) = 6]
4+x = 12
x = 8
Related Questions
Hi everyone please help me solve the wrong questions and how to graph it and explain how you solved it please, thank you!
Answers
D=-304+730
D=426 is the answer of the first gap.
Now let’s change it to 12.
D=-456+730
D=274 is the answer of the second gap.
Hope this helps!
ALL THE FOURTH GRADERS IN A CERTAIN ELEMENTARY SCHOOL TOOK A STANDARDIZED TEST. A TOTAL OF 85% OF THE STUDENTS WERE FOUND TO BE PROFICIENT IN READING, 78% WERE FOUND TO BE PROFICIENT IN MATHEMATICS, AND 65% WERE FOUND TO BE PROFICIENT INN BOTH READING AND MATHEMATICS. A STUDENT IS CHOSEN AT RANDOM.
1) WHAT IS THE PROBABILITY THAT THE STUDENT IS PROFICIENT IN MATHEMATICS BUT NOT READING?
2)WHAT IS THE PROBABILITY THAT THE STUDENT IS PROFICIENT IN READING BUT NOT MATHEMATICS?
3) WHAT IS THE PROBABILITY THAT THE STUDENT IS PROFICIENT IN BOTH?
Answers
1 . The following formula can be used to determine the likelihood that a pupil is proficient in arithmetic but not reading:
P(math proficient and not reading proficient) = P(math proficient) - P(math and reading proficient)
We are aware that 65% of kids are fluent in both reading and mathematics, and 78% of children are proficient in arithmetic.
So, the probability that a student is proficient in mathematics but not reading is:
78% - 65% = 13%.
2 . The following formula can be used to determine the likelihood that a pupil is proficient in reading but not mathematics:
P(reading proficient and not math proficient) = P(reading proficient) - P(math and reading proficient)
We are aware that 65% of children are proficient in both reading and mathematics, and 85% of pupils are proficient readers. So, the probability that a student is proficient in reading but not mathematics is:
85% - 65% = 20%.
3 . The formula P(math and reading proficient) = P(math proficient) + P(reading proficient) - P can be used to determine the likelihood that a student is proficient in both reading and math (math proficient or reading proficient)
We are aware that 78% of pupils demonstrate arithmetic proficiency, 85% demonstrate reading proficiency, and 65% demonstrate reading and math proficiency. Therefore, there is a 65% chance that a student will be proficient in both reading and mathematics.
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The probability that a student is proficient in mathematics but not reading is 13%. The probability that a student is proficient in reading but not mathematics is 20%.There is a 65% chance that a student will be proficient in both reading and mathematics.
1 . The following formula can be used to determine the likelihood that a pupil is proficient in arithmetic but not reading:
P(math proficient and not reading proficient) = P(math proficient) - P(math and reading proficient)
We are aware that 65% of kids are fluent in both reading and mathematics, and 78% of children are proficient in arithmetic.
So, the probability that a student is proficient in mathematics but not reading is:
78% - 65% = 13%.
2 . The following formula can be used to determine the likelihood that a pupil is proficient in reading but not mathematics:
P(reading proficient and not math proficient) = P(reading proficient) - P(math and reading proficient)
We are aware that 65% of children are proficient in both reading and mathematics, and 85% of pupils are proficient readers. So, the probability that a student is proficient in reading but not mathematics is:
85% - 65% = 20%.
3 . The formula P(math and reading proficient) = P(math proficient) + P(reading proficient) - P can be used to determine the likelihood that a student is proficient in both reading and math (math proficient or reading proficient)
We are aware that 78% of pupils demonstrate arithmetic proficiency, 85% demonstrate reading proficiency, and 65% demonstrate reading and math proficiency. Therefore, there is a 65% chance that a student will be proficient in both reading and mathematics.
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Please answer this for me. It's missing, please answer asap.
Answers
Answer:
40
Step-by-step explanation:
This is an example of a composite function. And, in order to answer the given problem, we need to calculate first the inner function.
In this example, we have:
[tex]f(x) = x^{2} - 3x + 6\\g(x) = 5x - 10[/tex]
And, we are tasked to calculate the [tex]g(f(-4))[/tex]. Let's calculate first the [tex]f(-4)[/tex].
[tex]f(x) = x^{2} + 3x + 6\\f(-4) = (-4)^{2} + 3(-4) + 6\\f(-4) = 16 - 12 + 6\\f(-4) = 4 + 6\\f(-4) = 10[/tex]
Let's substitute this value to the function of g to get the final answer.
[tex]g(x) = 5x - 10\\g(f(-4)) = 5(10) - 10\\g(f(-4)) = 50 - 10\\g(f(-4)) = 40[/tex]
Thus, the final answer was 40.
The city of Montgomery collects 4 times more tons of plastic than tons of glass in their recycling program.the city collected 80 tons of glass in june.how much plastic did the city collect in June?
Answers
According to the information, it can be inferred that the city of Montgomery collected 320 tons of plastic in the month of June.
How to calculate how many tons of plastic the city collected in June?To calculate how many tons of plastic the city collected in June we must take into account the following information.
The city of Montgomery collects 4 times more tons of plastic than tons of glass in their recycling program.the city collected 80 tons of glass in june.Taking this information as a reference, we must perform the following operation to find the amount of plastic that Montgomery collected in June:
80 * 4 = 320So, the city of Montgomery collected 320 tons of trash in the month of June.
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Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x³. At
what value of x in the interval 0 ≤x≤ pi do the graphs of f and g have parallel tangent lines?
Answers
The value of x in the interval 0 ≤x≤ pi is 2.083 so the graph f and g have parallel tangent lines
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = tan x
and, g(x) = x²
Now, f(x) = t g(x)
and, g(x) = x²
On differentiating f(x) we get
f'(x) = t g²(x) + 1
and, g(x) = 2x
Now, the parallel tangent line
f' (x) = g'(x)
t g²(x) + 1 = 2x
since the interval for x is 0 ≤x≤ pi.
So, the value of x = 2.083
Hence, the value of x is 2.083.
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7x^2-10=-17 solve by taking square root
Answers
Step-by-step explanation:
[tex]7x^2-10=-17\\7x^2=-7\\x^2=-1\\x=\sqrt{-1}\\x=\sqrt{i^2}\\\boxed{x=i,-i}[/tex]
Determine the length of AB (round your answer to the nearest whole number)?
Answers
Answer:
AB ≈ 13 cm
Step-by-step explanation:
∠ CAB = 90° - ∠ CAD = 90° - 45° = 45°
using the cosine ration in right triangle ABC
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{9}{AB}[/tex] ( multiply both sides by AB )
AB × cos45° = 9 ( divide both sides by cos 45° )
AB = [tex]\frac{9}{cos45}[/tex] ≈ 13 cm ( to the nearest whole number )
A company makes bags of rice.
. One machine fills each bag with approximately 48 ounces of
rice.
. After the bags are filled; another machine weighs each bag.
. A bag is discarded if the weight differs by more than 0.35
ounces from the target weight.
Which inequality can be used to find the range of acceptable
weights, x, of the rice?
Answers
The weight of the rice bags should be less than the weight of 48.35 ounces. Inequality can be written as x < 48.35 ounces.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
That One machine fills each bag with approximately 48 ounces of rice. After the bags are filled; another machine weighs each bag. A bag is discarded if the weight differs by more than 0.35.
The inequality for the bags can be written as
x < 48.35 Ounces
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In the lab, Chau has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 900 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 24% alcohol solution?
Answers
600 mL of solution B and 3(600) = 1800 mL of solution A are used by Chau.
How many letters make up one milliliter?It is equivalent to one thousandth of a liter (1 liter = 1000 milliliters) and is used to measure lesser amounts of liquid. The letters ml or mL are used to represent milliliters. Take note of the following graph, which displays 1000 ml of water. Capacity measurements are made using milliliters. It represents a thousandth of a liter. Alternatively said, a one-liter container might hold 1,000 milliliters. In the metric system, a milliliter abbreviated as ml or mL is a unit of volume. One cubic centimeter, or one milliliter, is equivalent to one thousandth of a liter.Let x = the amount of Solution B used
3x = the amount of Solution A used
Knowing that 13% = 0.13 and 18% = 0.18, we can create the equation shown below:
3x(0.13) + x(0.18) = 342 (Remember that the concentration of pure alcohol is 100%, or 1.00).
0.39x + 0.18x = 342
0.57x = 342
x = 600 mL
600 mL of solution B and 3(600) = 1800 mL of solution A are used by Elsa.
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for what values of k will the line be tangent to the circle ?x^2 + y^2 = 25 where y = x+k.please help I have an exam tomorrow
Answers
Answer: To find the values of k for which the line y = x + k is tangent to the circle x^2 + y^2 = 25, we need to substitute y = x + k into the equation of the circle and solve for x.
x^2 + (x + k)^2 = 25
Expanding the square, we get:
x^2 + x^2 + 2xk + k^2 = 25
2x^2 + 2xk + k^2 = 0
Now we can solve for x by using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Where a = 2, b = 2k and c = k^2
x = (-2k ± √(4k^2 - 42k^2)) / 2*2
x = (-k ± √(-3k^2)) / 4
Since the square root of a negative number is not a real number, we can see that there is no real value of x that will make the equation true. Therefore, the line y = x + k is never tangent to the circle x^2 + y^2 = 25
Answer:
Step-by-step explanation:
To find the values of k that will make the line y = x + k tangent to the circle x^2 + y^2 = 25, we need to set the equation of the line equal to the equation of the circle and solve for k.
First, we'll substitute y = x + k into the equation of the circle:
x^2 + (x + k)^2 = 25
Next, we'll expand the square on x + k:
x^2 + x^2 + 2xk + k^2 = 25
Now we'll combine like terms:
2x^2 + 2xk + k^2 = 25
We'll rearrange the equation so that x^2 is on one side
2x^2 + 2xk + k^2 - 25 = 0
Now we'll divide by 2
x^2 + xk + k^2/2 - 25/2 = 0
Now we'll complete the square
x^2 + xk + (k^2/2 - 25/2) = 0
x^2 + xk + (k^2/2 - 25/2) + (25/2) = (25/2)
(x + k/2)^2 = 25/2
Now we'll take the square root of both sides
x + k/2 = +-sqrt(25/2)
Now we'll solve for x
x = sqrt(25/2) - k/2 or x = -sqrt(25/2) - k/2
Now we'll substitute these values of x into the equation y = x + k and find the value of k.
x = sqrt(25/2) - k/2
y = x + k
y = sqrt(25/2) - k/2 + k
y = sqrt(25/2)
x = -sqrt(25/2) - k/2
y = x + k
y = -sqrt(25/2) - k/2 + k
y = -sqrt(25/2)
So the line y = x + k is tangent to the circle x^2 + y^2 = 25 when k = sqrt(25/2) or k = -sqrt(25/2)
Stuck on these questions in my unit quadratic functions and equations.
questions are down below, many thanks!
Answers
Answer:
25
Step-by-step explanation:
25 because i used a calculator
Find x and find the angle of M
Answers
Answer:
Step-by-step explanation:
well first you must question what 11 minus 9 is and its the x for m but do the same for o and combine the 2. i don't know if it will work i'm so past that
Which of these is a reflex angle:an angle of one hundred degrees or an angle of two hundred degrees
Answers
Answer:
the two hundred degrees angle is the reflex angle.
Step-by-step explanation:
reflex angle is and angle that is more than 180 degrees and less than 360 degrees.
the 200 degree angle is above 180 and lower than 360 degrees. The 100 is lower than 180 so I can't be it
Complete the table below, indicating what percentage of your overall course grade is taken from each course component:
In-Class Participation: 2 % (we'll assume this to be true for this question, though it might be different for your section)
Graded Homework in WebAssign: 23
%
Midterm Tests (total for three tests): 50
Final Exam: 25
%
%
Let's assume that you earn 100% for your In-Class Participation score, 91% for your Graded Homework score 95%.on.Test 1,
81% on Test 2, 97% on Test 3, and 86% on the Final Exam. What would your overall course grade be?
x
Enter a number.
Answers
The ultimate grade for the course is determined by the average of all completed assignments. Answer is 92.
What would be the final grade for the course?You must first add up all of your grades if your instructor or professor employs a total points system.Afterward, tally the number of points available for each of those grades.
Your class grade can be calculated by dividing your earned points by the total points available.Follow these steps if you want to accomplish it by hand:The letter grade's value is calculated by dividing it by the course's total number of credits.Do this for each class, then add them all up.
Subtract the total by the number of credits.
75% of the test score would be 76 x 0.75 = 57
80-57 = 23
They need 23 more points to get an 80
The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam
answer: 92
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Subtract 3x² + 7x - 4 from
8x² - 6x + 2.
standard form
Answers
On subtracting 3x² + 7x - 4 from 8x² - 6x + 2, the expression in standard form is obtained as 5x² - 13x + 6.
What is standard form?
To make mathematics easier for everyone to read, write, and work with, mathematicians from all around the world resolved to come to basic writing standards. The term "standard form" refers to this particular method.
The given expressions are -
a = 3x² + 7x - 4 and b = 8x² - 6x + 2.
Subtract a from b. The expression will be -
= (8x² - 6x + 2) - (3x² + 7x - 4)
= 8x² - 6x + 2 - 3x² - 7x + 4
= 5x² - 13x + 6
Therefore, the standard form is 5x² - 13x + 6.
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Pam has 125 gummy bears. Bob has 87 more than Pam. How many gummy bears does Bob Have?
Answers
Answer:
212 gummy bears
Step-by-step explanation:
Just add 125 and 87 together
Answer: 212
Step-by-step explanation:
Its simple addition.
Name the marked angle in 2 different ways.
Answers
Answer:
angle SRQ or angle QRS
Step-by-step explanation:
R is the middle angle, so it will always be in between the other two variables :)
What special names are there for this quadrilateral?
Select all that apply.
A quadrilateral has two pairs of opposite sides and four right angles. The opposite sides are parallel and equal in length, but the adjacent sides are not the same length.
A.
rectangle
B.
square
C.
parallelogram
D.
trapezoid
Answers
Answer:
A. rectangle------------------------------
A. rectangle
Yes, it has all the mentioned properties.B. square
No, it has four equal sides.C. parallelogram
No, it doesn't have 4 right angles.D. trapezoid
No, it doesn't have 4 right angles, only one pair of parallel sides of different length.100 POINT!
Explain the mistake of this problem.
(the top is the real problem and the bottom 2 lines is them simplifying it.) (I'm pretty sure you're finding out the mistake in them simplifying.
Answers
Answer:
- 18 - 2√3-------------------------------
See the correct solution below:
(2 + 2√3)(3 - 4√3) = 6 - 8√3 + 6√3 - 8√9 = The mistake was at this step6 - 2√3 - 8*3 = Also not considered √9 = 3 6 - 2√3 - 24 = - 18 - 2√3what does GCF stand for?
Answers
Answer:
Greatest Common Factor
Step-by-step explanation:
Answer:
greatest common factor
Step-by-step explanation:
MATHEMATICAL
CONNECTIONS Which
pairs of coordinates
represent the endpoints of
a line segment whose
midpoint is the origin?
O (m, 0) and (m, 0)
Ok, h) and (k, h)
O (a, b) and (a, b)
O (-k, 0) and (0, k)
O (0, - k) and (0, k)
Answers
Answer:
(m,0) and (m,0),(-a,-b) and (a,b),(0,-k) and (0,k) are the required coordinates
*mark me brainliest
The figure shows intersecting lines k and m. What is the measure of angle a
Answers
The measure of angle a is given as 94 degrees.
How to solve for the value of aIn order to get the value of a, we have to use the formula for the sum of angles in a straight line.
The sum of angles that are in a straight line is given as 180
this is summed up and equated to 180
From the figure,
m∠1 = 86 degrees
m∠2 = a
we have to sum this up and equate the value to 180 degrees
86 degrees + a = 180 degrees
a = 180 - 86
a = 94 degrees
Therefore the measure of the angle a is given as 94 degrees
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which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how you know.
Answers
Both the car and the train are traveling at the same speed because they both cover the same distance in different amounts of time.
How does this happen?In this scenario,
the car is traveling at a speed of 0.6 miles per minute
and the train is traveling at a speed of 0.75 miles per minute.
Therefore, both are traveling at the same speed of 6 miles in 10 minutes or 6 miles in 8 minutes.
With this in mind, it can be seen that they both travel at the same speed and none is faster.
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Step be step
(+1 point) Write the equation of the line in slope-intercept form given the following information.
18. slope = -2 and y-intercept (0,6)
(+3 points) Write the equation of the line given the following information in point-slope form
then rewrite in slope-intercept form.
19. Slope =
contains (-4, 3)
Answers
Answer:
18. y = -2x + 6
19. y = -1/2x -1/2
Step-by-step explanation:
y = mx + b
18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept
For now, all we care about is 6
-2 is the slope which means the line will go down 2 and right 1
m = slope
b = y-intercept
y = -2x + 6
19.
-1/2 is the slope which means the line will go down 1 and right 2
For the y-intersept, I just played with it on a graphing calculater until I got it right.
m = slope
b = y-intercept
y = -1/2x -1/2
63.8 x 4.6
show your work ;)
Answers
Therefore, by simply multiplying 63.8 by 4.6, we get 293.48. Once you have mastered each times table, move on to the next one.
what is multiplication ?The quantity of items in the group expands as we multiply. Along with addition, subtraction, and division, multiplication is one of the four fundamental mathematical operations. In the first and second grades, students learn how to represent, work out, and extend their counting sequences. Students start learning basic multiplication facts and times tables in the third grade.
given
Slice up the information into manageable pieces. With a straightforward picture, give the facts context. Teach your kid how to use the simpler facts as stepping stones for the more difficult ones. Once you have mastered each times table, move on to the next one.
63.8 x 4.6
by simple multiplication
= 293.48
Therefore, by simply multiplying 63.8 by 4.6, we get 293.48.
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Calculator
The observation deck of the Willis Tower in Chicago is 412 meters above the ground. On a scale drawing, this distance is 82.4
centimeters. The actual height of the building itself is 442 meters.
What is the height of Willis Tower in the scale drawing?
O 5.4 centimeters
O 76.8 centimeters
O 88.4 centimeters
O 112.4 centimeters
A
2 3
4
5
Finish
Answers
In the scale drawing, the height of building itself is 88 .4 centimeters.
What is scale drawing?
The scale drawing is a smaller edition of a large object. By using scale drawing we try to bring the large shape of image or any object within a sheet of paper or in a computer screen. The ratio of the dimension of scale drawing to the original dimension is called scale factor.
What is the height of Wills Tower in the scale drawing?
The height of observation deck of the Wills tower from ground surface = 412 meters
in the scale drawing the height of deck = 82.4 centimeters.
The actual height of Wills tower building = 442 meters
now, the height of Tower building in scale drawing = (442×82.4) / 412
in the scale drawing the height = 88.4 centimeters
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( 100 pts) very urgent please ASAP. Prove that the points (-3, 3), (3, -7) and (7,9) are the vertices of a right angled isosceles triangle.
Answers
A right angled isosceles triangle is a triangle with two sides of equal length and one right angle. To prove that the points (-3, 3), (3, -7) and (7,9) are the vertices of a right angled isosceles triangle, we can use the distance formula and the Pythagorean theorem.
The distance formula is used to calculate the distance between two points in a coordinate plane. It is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the distance formula, we can find that the distance between the points (-3, 3) and (3, -7) is:
d = √((3 - (-3))^2 + ((-7) - 3)^2) = √(6^2 + (-10)^2) = √(36 + 100) = √136
Similarly, we can find that the distance between the points (-3, 3) and (7, 9) is also √136 and the distance between the points (3, -7) and (7, 9) is √36.
Now, we can use the Pythagorean theorem, which states that in a right angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem can be written as:
c^2 = a^2 + b^2
Since d1 and d2 are equal, we can say that the triangle is isosceles.
So, using the distance formula and the Pythagorean theorem, we have proven that the points (-3, 3), (3, -7) and (7,9) are the vertices of a right angled isosceles triangle.
A grocer has three baskets of peaches. One holds 45 peaches and weighs 17 pounds, a second holds 55 peaches and weighs 21 pounds, and the third holds 60 peaches and weighs 25 pounds. What is the
mean wight of a peach? (keep your answer in two decimals if there is any decimals).
Answers
Answer:
Step-by-step explanation:
45 peaches + 55 peaches + 60 peaches = 160 peaches total
17 pounds + 21 pounds + 25 pounds = 63 pounds total
63 pounds / 160 peaches = about 0.39 pounds per peach
*8th Grade practicing 9th Grade courses for regents*
Question:
4x + 8y = 20
-4x = 2y = -30
Type of Math: System of Equations (elimination)
What I would like to know, is the positive 4x in the top equation and the negative 4x in the bottom equation a zero pair? Thanks in advance!
Answers
The solution to the system of equation shown is (7, -1)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given the equation:
4x + 8y = 20 (1)
-4x + 2y = -30 (2)
Solving by elimination method. Add equation 2 and 1:
10y = -10
y = -1
Put y = -1 in eqn 1:
4x + 8(-1) = 20
4x - 8 = 20
4x = 28
x = 7
The solution is (7, -1)
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Algebra 2 big ideas math please help me
Answers
Answer:
Step-by-step explanation:
9