if we subtract from 65° the subangle of 37°, what we're left with is an angle off 65° - 37°, Check the picture below.
Answer:
Step-by-step explanation:
y= -1/4x
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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Fill in the blank below with the correct units. The school bus has a mass of about 8000 ————. Solve the problem. Then use either grams or kilograms
Answer:
kilograms
Step-by-step explanation:
theoretically, a bus cant be measured in grams, because its too light and unrealistic.
The school bus has a mass of about 8000 kilograms.
What is meant my mass?
"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."
What is kilogram?"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."
Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.
∴ The school bus has a mass of about 8000 kilograms.
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what is the equation of a straight line is parallel to y = 4x-1?
Answer: i dont know
Step-by-step explanation:
Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
Which expression is equivalent to -8(x+2)-(x+4)
Answer:
-8x+-16-(-8x)+(-32)
Step-by-step explanation:
6 ft
If you'd like,
you can use a
8 ft
SA = 2πr² + 2πrh
Use 3.14 for TT.
Find the surface area of
a cylinder with a height
of 8 feet and base
diameter of 6 feet.
Round to the
nearest hundredth.
SA = [?]ft²
G
The surface area of a cylinder with a height of 8 feet and base diameter of 6 feet is 207.24ft².
What is the surface area of the cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The surface area of a cylinder is expressed as;
SA = 2πr² + 2πrh
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14).
Given that;
Height h = 8ftDiameter d = 6ftRadius = diameter/2 = 6ft/2 = 3ftSurface area A = ?Plug the given values into the above formula and solve for surface area.
SA = 2πr² + 2πrh
SA = ( 2 × 3.14 × (3ft)² ) + ( 2 × 3.14 × 3ft × 8ft )
SA = ( 2 × 3.14 × 9ft² ) + ( 2 × 3.14 × 24ft² )
SA = ( 56.52 ft² ) + ( 150.72ft² )
SA = 207.24ft²
Therefore, the surface area is 207.24ft².
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Part C
Question
Determine the missing values in the table.
Recall that x represents the number of tickets sold and y represents the amount of money earned from ticket sales.
Type the correct answer in each box. Use numerals instead of words.
X
$20
3
6
20
$400
Answer:
40$,160$ & 60
Step-by-step explanation:
First,find the equation using y-y1/ y1-y2=x-x1=x1-x2
y-0/0-20=x-0/0-3
y=20x/3
Now put the values of x& y in the equation, for the 1st one,
y=20×6/3
=40
2nd one.y=20×24/3
=160
3rd one,
400=20x/3
X=400×3/20
=60
The values at different number of tickets and the tickets that can be bought at $400 has been determined.
What is Direct Variation?When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.
Let x represent the number of tickets sold
Let y represent the amount of money earned from ticket sales.
y ∝ x
y = kx
k is the proportionality constant.
The value in the table will be used to determine the value of k,
For 3 tickets, the ticket amount is $20
20 = k * 3
k = 20/3
The relation is given by
y = (20/3) x
For 6 tickets, the value will be,
y = (20/3 ) *6 = $40
For 24 tickets the value will be,
y = (20/3) * 24 = $160
For $400, how many tickets can be bought,
400 = (20/3) * x
400*3 /20 = x
60 tickets can be bought for $400
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Please Help with the second one
Answer:
20%
Step-by-step explanation:
Total number of children = 20
Number of children who chose oatmeal = 4
Percentage of children who chose oatmeal :- \( \frac{Number \: of \: children \: who \: chose \: oatmeal}{Total \: number \: of \: children} \times 100\)
\( = > \frac{4}{20} \times 100 \)
\( = > 20\%\)
a valley is 94 feet below sea level. what is the absolute value of the elevation difference between the valley and the sea level?
The absolute value of the elevation difference between the valley and sea level is 94 feet.
The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.
The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.
In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.
By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.
Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.
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Please help
will mark BRAINLIEST
The angle sum property of a triangle and the angle formed between a tangent and a radius of a circle indicates.
m∠ADC = 58°
What is a tangent to a circle?A tangent to a circle is a straight line which touches the circumference of a circle at only one point.
The vertical angles theorem indicates that we get;
∠1 ≅ ∠2
Therefore; m∠1 = m∠2
The tangent to a circle indicates that we get;
The angle formed at vertex B and Q are 90 degrees angles and the triangles ABP and AQP are right triangles, which indicates that the acute angles of each of the right triangles are complementary, therefore;
m∠1 + 26° = 90°
m∠1 = 90° - 26° = 64°
Therefore, m∠2 = m∠1 = 64°
m∠2 = m∠CAD = 64°
The segments AC and AD are radial lengths therefore, the triangle ΔACD is an isosceles triangle.
m∠ADC ≅ m∠ACD (Base angles of an isosceles triangle)
The angles ∠ADC and ∠ACD are therefore;
m∠CAD + m∠ADC + m∠ACD = 180° (Angle sum property of a triangle)
m∠CAD + m∠ADC + m∠ADC = 180°
m∠CAD + 2 × m∠ADC = 180°
64° + 2 × m∠ADC = 180°
m∠ADC = (180° - 64°)/2 = 58°
m∠ADC = 58°
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12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then accepting the entire batch if at least 3 of the selected items pass inspection. If in reality 80% of all items produced would individually pass inspection, what is the probability that the batch will be accepted
Answer:
The probability is 0.9421
Step-by-step explanation:
Here, we want to calculate the probability that the batch will be accepted
For it to be accepted, 3,4 or 5 of the items would pass inspection
let p be the probability of a single item
passing the inspection
This probability is 80% = 0.8
Let q be the probability of failing inspection = 2-0.8 = 0.2
The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;
5 C 3 0.8^3 0.2^2 = 0.2048
Next we calculate for 4 out of the five
That will be
5 C 4 0.8^4 0.2 = 0.4096
Finally we calculate for all 5
5 C 5 0.8^5 0.2^0 = 0.32768
So the probability that the batch will be accepted will be;
0.32768 + 0.4096 + 0.2048 = 0.94208
Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.
For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
5 items are selected, hence \(n = 5\).80% of all items produced would individually pass inspection, hence \(p = 0.8\).The probability that the batch will be accepted is:
\(P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)\)
In which:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048\)
\(P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096\)
\(P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277\)
Then:
\(P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421\)
0.9421 = 94.21% probability that the batch will be accepted.
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The following question has two parts. First, answer part A. Then, answer part B.
Answer:
Step-by-step explanation:
Step-by-step explanation:
area of rectangle= l*b
2and 2/3 * 7 and 3/4
8/3 * 31/4
62/3 sq . feet
20 and 2/3 feet
How do you solve 6^14/(2^5)(3^7)?
Answer:
1119744
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
\(\frac{6^{14}}{(2^5)(3^7)}\)
Step 2: Evaluate exponents
6¹⁴ = 78365164096
2⁵ = 32
3⁷ = 2187
Step 3: Replace
\(\frac{78364164096}{32(2187)}\)
Step 4: Multiply
\(\frac{78364164096}{69984}\)
Step 5: Divide
1119744
Find f’(x) and simplify
Answer:
1. A
2. Simplification: (not sure)
\( \frac{ - 3x {}^{5} + 6x { }^{2} - 4x - 15 }{9x {}^{2} - 12x + 4 } \)
A ribbon is 18in long. Convert the length to feet.
Answer:
1.5 feet
Step-by-step explanation:
1 feet = 12 inches
18 inches --> x feet
18/12 = 1.5 feet
Answer:
1.5 feet
Step-by-step explanation:
12 inches in 1 foot 12/18= 1.6 So 1 foot and 6 inches or 1.5 feet
Which is equivalent to (2x^2y)(8x^3y^3)?
Answer: A
Step-by-step explanation: In order to answer this you need to understand the rules of exponents. Whenever you multiply two terms with the same base or variable you add the powers together. For example, 4x*2x = 8x^2 or x^4*x^2 = x^6. Any term with a negative exponent is equivalent to its reciprocal. For example x^-2 = 1/x^2.
Knowing this we expand this equation by multiplying. (2x^-2y) * (8x^-3y^-3) = 16x^-5y^-2. We now move the variables with negative exponents to the bottom. Giving us 16/(x^5y^2).
f(x)=-4x+9 g(x)=-3x^2+5x+9, Find f(x)•g(x)
13. Justify Conclusions Determine whether each statement is sometimes,
always, or never true. Justify your answer.
Answer
A. It is possible for a triangle to have two right angles?
B it is possible for a triangle to have two right angles.
Answer:
False. It is not possible for a triangle to have two right angles.
Step-by-step explanation:
Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.
50 points!
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 3
Hope this helps!
Step-by-step explanation:
ΔABC is a 45°, 45°, 90° triangle. The longest side ( 6\(\sqrt{2}\) ) can be \(x\sqrt{2}\) while AB and CB are x. Because 6\(\sqrt{2}\) is equal to \(x\sqrt{2}\), you can see that x is equal to 6. Both AB and CB are equal to 6. ΔBDC ( CDB ) is a right triangle ( 30°, 60°, 90° ) so, BD = x, CB = 2x, and CD = \(x\sqrt{3}\). CB is equal to 6 so 2x = 6, x = 3.
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
JLK = 360-154 (Circle is 360°)
So
JLK = 206
The inside dimensions of a semi-trailer are 52 feet long, 8.25 feet
wide, and 9.25 feet tall. What is carrying capacity of the trailer?
HELP PLEASE M BEGGNG
Answer:
Min: 1
Q1: 2
Median: 7
Q3: 9
Max: 11.5
Step-by-step explanation:
The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.
The first bar represents the minimum, which in this case is 1.
The second bar represents the first quartile (Q1), which in this case is 2.
The third bar represents the median, which in this case is 7.
The fourth bar represents the third quartile (Q3), which in this case is 9.
And the fifth bar represents the maximum, which in this case is 11.5.
Answer:
Min: 1
Q1: 2
Median: 7
Q3: 9
Max: 11.5
Step-by-step explanation:
I hope it helps:)
What is another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 ?
Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer
How to write a compound inequality in another way?
An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
Given: y + 3 ≥ 2 and y + 3 < 6
To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:
y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:
2 ≤ y+3 and y + 3 < 6
Combine the two:
2 ≤ y+3 < 6
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If the sum of three consecutive numbers is 852, what is the middle one?
it should be 3 and 3 is the the right answer
The required middle number is 284 and the three consecutive numbers would be 283, 284, and 285 respectively.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
Let the three consecutive numbers would be x, x + 1, x + 2 respectively
Given that the sum of three consecutive numbers is 852
⇒ x + x + 1 + x + 2 = 852
⇒ 3x + 3 = 852
⇒ 3x = 852 - 3
⇒ 3x = 849
⇒ x = 849/3
⇒ x = 283
So the three consecutive numbers would be 283, 284, and 285 respectively.
Therefore, the required middle number is 284.
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Use the table below to answer the following question.
How much greater is the average rate of change over [7, 9] than over [4, 6]?
f(x)
105
384
945
1920
3465
5760
6
Terms
of
X
4
5
6
7
8
9
Based on the information provided, it can be concluded that the average rate change is 1000 more in 7,9 than in 4,6.
How to calculate the average change?To calculate the average change, the general formula to use would be:
maximum value - minimum value/number of values
The average change in 7, 9:
5760 - 1920 / 3
1280
The average change in 4,6:
945 - 105 / 3
280
Now, let's compare the tow values obtained as it follows.
Difference between the average changes calculated:
1280 - 280 = 1000
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Josie calculated 1/5+1/2 and said the answer was 2/7 is it wrong and why
Answer:
It's wrong because you don't add fractions the way you would add normal numbers.
Step-by-step explanation:
To add 1/5 to 1/2 you would need to write all numerators above the least common denominator which is 10. Then add the numerators, 5 + 2, which gives you 7/10.
Find the measure of B
A. 65
B. 91
C. 30
Answer: x=30
Step-by-step explanation:
Set them all equal to 180
so it would be 180=x+2x-1+3x+1
isolate x by adding or subtracting the 1
180=6x
x=30
Find the equation of a line that contains the points (5,−4) and (−8,5).
Answer:
5-
Step-by-step explanation:
5+4/-8-5
9/-13.....
A. 36
B. 52
C. 148
D. 168
Answer:
B) 52
Bodmas rule:
BracketsOrderDivisionMultiplicationAdditionSubtractionSolving Steps:
⇒ 2 × (3 - 1)⁴ + 5 × 4
⇒ 2 × (2)⁴ + 5 × 4
⇒ 2 × 16 + 5 × 4
⇒ 32 + 20
⇒ 52
Option B
f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).