Answer:
A
Step-by-step explanation:
The order of operations, or PEMDAS, is used like so:
Parentheses
Exponents
Multiply
Divide
Add
Subtract
exponents are the second step of the order of operations
Answer:
The 2nd step i think I'm not totally sure.
Step-by-step explanation:
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I, find the value of tan(A−B).
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.
What is the value of tan(A-B)?We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
From the given information, we have:
cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)
tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5
Now, we can use the definitions of sine and cosine to find tan A:
tan A = sin A / cos A = (7/25)/(24/25) = 7/24
Substituting the values we have found into the formula for tan(A - B), we get:
tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]
= (-13/72)/(25/72)
= -13/25
Therefore, tan(A - B) = -13/25.
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Find the diameter of the object.
diameter: ___ cm
Answer: 1 1/5
Step-by-step explanation: So the diameter is the length of the whole sphere and since half of this is 3/5 you at times that by two and you would get 1 1/5
Answer:
30cm
Step-by-step explanation:
Diameter of circle= 2×radius
2×⅗
30cm
hope it helps
The semi-circle has a diameter of 8. What is the perimeter of the semi-circle?
Answer:
roughly 12.56 units
Step-by-step explanation:
Since the perimeter of a circle is 2*pi*r, we can divide it by two or multiply by half in order to find the perimeter of a semicircle
half of the diameter is the radius, so 8/2 =4, r=4
Plug in what we know...
C=2*pi*4
Solve
2*3.14*4
25.12
divide by 2
25.12/2=12.56
12.56 units is the perimeter
Answer:
Approx. 20.566 units
Step-by-step explanation:
Find the circumference of the whole circle first by doing:
C = 2πr
r = 4 (8 divided by 2)
C ≈ 25.133
Then divide that by two because a semi-circle is half a circle:
12.566
Then add 8 (diameter) to that number for the open side.
Hope this helps :)
In ΔKLM, m = 63 inches, mm∠K=24° and mm∠L=42°. Find the length of l, to the nearest inch.
Check the picture below.
\(\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin(\measuredangle M)}{m}=\cfrac{\sin(\measuredangle L)}{l}\implies \cfrac{\sin(114^o)}{63}=\cfrac{\sin(42^o)}{l} \\\\\\ l\sin(114^o)=63\sin(42^o)\implies l=\cfrac{63\sin(42^o)}{\sin(114^o)}\implies l\approx 46~inches\)
A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4.
What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9
Answer:
8
Step-by-step explanation:
If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.
Answer:
C length = 8
Step-by-step explanation:
Area of Rectangle = lw
A = lw Substitute l = (2x + 4) ; w = 9
72 = (2x + 4)9
72 = 18x + 36
36 = -36
36 = 18x
36/18 = x
2 = x
Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8
If p^2-n^2=1 prove that :
(x^m* x^n )^m-n* (x^p*x^-n)^n+p * (x^p*x^-m)^p+m = x^2
Let's begin by simplifying each of the terms in the expression on the left-hand side of the equation:
(x^m * x^n)^(m-n) = x^(m-n)*(m-n)
(x^p * x^(-n))^(n+p) = x^(n+p)*(p-n)
(x^p * x^(-m))^(p+m) = x^(p+m)*(p-m)
Now, let's substitute the given equation p^2 - n^2 = 1 into these expressions:
x^(m-n)*(p^2-n^2) = x^(m-n)
x^(n+p)*(p^2-n^2) = x^(n+p)
x^(p+m)*(p^2-n^2) = x^(p+m)
Simplifying each of these expressions using the given equation, we get:
x^(m-n) = x^(m-n)
x^(n+p) = x^(n+p)
x^(p+m) = x^(p+m)
Therefore, the left-hand side of the equation simplifies to:
x^(m-n) * x^(n+p) * x^(p+m) = x^(m-n + n+p + p+m) = x^(2m) = x^2^(m-n + n+p + p+m)
Thus, we have proved that:
(x^m * x^n)^(m-n) * (x^p * x^(-n))^(n+p) * (x^p * x^(-m))^(p+m) = x^2
which is the same as the given equation.
Find the circumference.
Use 3.14 for it.
r = 5 cm
C = [?] cm
C= Ttd
Answer:
C=2(3.14)×(5)
C=31.4cm
The circumference of circle is 31.4 cm
What is circumference of circle?"It is the distance around the perimeter of a circle."
Formula for circumference of circle:"C = 2 × π × r,
where r is the radius of the circle."
For given question,
We have been given the radius of a circle.
r = 5 cm
We need to find the circumference of circle.
Using the formula for circumference of circle,
⇒ C = 2 × π × r
We need to use π = 3.14
⇒ C = 2 × 3.14 × 5
⇒ C = 2 × 5 × 3.14 ...............(since a × (b × c) = (a × b) × c)
⇒ C = 10 × 3.14
⇒ C = 31.4 cm
This means, the circumference of circle having radius r = 5 cm
is C = 31.4 cm
Therefore, the circumference of circle is 31.4 cm
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Q. A______ is a quadrilateral with two sets of parallel sides and 4 right angles
O trapezoid
O rectangle
O parallelogram
O square
Answer:
I think it will be rectangle or square
because rectangle and Square have 4 right angles
and each two opposite sides are parallel
Part B
Think about graphing the relationship between the length and the width of the TV screens. What do you predict the graph
would look like?
Answer:
They would be perpendicular to each other.
One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)
Step-by-step explanation:
Look at the picture and tell me
Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.
How to find the amount of wire used ?To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:
C = 2πr
Since the diameter is twice the radius, we can find her sister's radius as follows:
Poppy's radius = 6.25 inches
Poppy's diameter = 2 * 6.25 = 12.5 inches
Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches
Sister's radius = 13.5 / 2 = 6.75 inches
Now, we'll calculate the circumferences using the given value for π:
Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches
Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches
Difference = Sister's circumference - Poppy's circumference
Difference = 42.39 - 39.25 = 3.14 inches
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two vectors are linearly dependent if and only if they are collinear. True/False?
The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.
The set \(\{v_1, v_2,.....,v_k\}\) is considered as linearly dependent if numbers \(\{x_1, x_2, ....,x_k\}\)are not equal to zero. Then, \(x_1v_1+x_2v_2+.....+x_kv_k=0\). This equation is referred to as the equation of linear dependence or linear dependence relation.
When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.
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Jean says that if she multiplies 73×34, her product will automatically be less than 73 because 34 is less than 1, meaning the product will only be a part of 73. Is Jean correct?
Answer:
Yes, Jean is correct
Step-by-step explanation:
Given
\(73 * \frac{3}{4}\)
Required
Determine the value of the result
When a positive integer is multiplied by a fraction, the result is always less than the integer
Solving further
\(Expression = 73 * \frac{3}{4}\)
\(Expression = \frac{73 * 3}{4}\)
\(Expression = \frac{219}{4}\)
\(Expression = 54.75\)
The result of the expression shows that the resulting value is less than 73.
Hence, Jean is correct
All of the points in the graph are on the same line
What is the y-coordinate when x=0
Answer:
y=-2
Step-by-step explanation:
The line is y = 2x-2, so when x=0 y= -2
the integral test can be used to conclude that which of the following statements about the infinite series ∑n=2[infinity]1nlnn is true? A The series converges, and the terms of the series have limit 0. B) The series diverges, and the terms of the series have limit o. с The series converges, and the terms of the series do not have limit o. D The series diverges, and the terms of the series do not have limit 0
Therefore, the correct answer is B) The series diverges, and the terms of the series have limit o.
The integral test is a powerful tool used to determine whether an infinite series converges or diverges. The integral test states that if an infinite series has a non-negative and decreasing term, then the series is convergent if and only if the corresponding integral is convergent. In the case of the series ∑n=2[infinity]1nlnn, we can apply the integral test by considering the function f(x) = 1/xlnx. This function is decreasing and positive for all x > 2. Therefore, we can integrate f(x) from 2 to infinity to obtain the integral ∫2[infinity]1/xlnx dx. Evaluating this integral, we get ln(lnx)|2[infinity], which diverges. Since the integral diverges, we can conclude that the series ∑n=2[infinity]1nlnn also diverges.
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Could you help me with this question?
Could you help me with this question?
a car manufacturer wants to learn more about the brand preferences of electric car owners. there are millions of electric car owners in the world. who should the company survey? 1 point the entire population of electric car owners a sample of car owners who have owned more than one electric car a sample of all electric car owners a sample of car owners who most recently bought an electric car
A car manufacturer wants to lean about the brand preferences, then the company should survey a sample of all electric car owners.
What is Survey?A survey is a set of questions used in human subject research with the goal of gathering specific information from a particular population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers. Surveys are employed to collect data or learn more in areas like demography and social research.
Survey research is frequently used to evaluate ideas, beliefs, and emotions. Surveys may have narrow, specialized objectives, or they may have more general, extensive objectives.
As the manufacturer wants to learn about the brand preferences of electric car owners that what type of things people like nowadays, or what kind of improvement he can do in his model or design or other things, he should prefer a sample of all electric car owners.
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For each of the following functions, write the formula for the function's inverse. a. f(x)8 where y-f() Preview b. f() 3(2.1) where y f(z). f (v) Preview enz)-log( ) where V-r c. f(x) 20 Preview
The formula for the inverse of the function is f-1(y) = log2(y/3).c. f(x) = 20, where y = f(x). In the second function, f(z) = 3(2^z), the inverse function is f-1(y) = log2(y/3). In the third function, f(x) = 20, the inverse function is f-1(y) = 20.
The formula for the inverse of the following functions are as follows:a. f(x) = 8, where y = f(x)Here, y = 8Thus, x = f-1(y)Therefore, the formula for the inverse of the function is f-1(y) = 8.b. f(z) = 3(2^z), where y = f(z)Here, y = 3(2^z)Thus, log2(y/3) = z
Here, y = 20Thus, x = f-1(y)Therefore, the formula for the inverse of the function is f-1(y) = 20.Answer:In all, there are three functions and the formulas for their inverse have been derived. In the first function, f(x) = 8, the inverse function is f-1(y) = 8. In the second function, f(z) = 3(2^z), the inverse function is f-1(y) = log2(y/3). In the third function, f(x) = 20, the inverse function is f-1(y) = 20.
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Please help me! Urgent, thanks!
The lowest common multiple of 60, 156 and n is 10920. Find the smallest possible value of n.
60 = 2² x 3 x 5
156 = 2² x 3 x 13
10920 = 2³ x 3 x 5 x 7 x 13
Answer:
2 cube into 3 into 5 into 13 into 7
At a particular school 20% of children travel by bus.
If this represents 280 children, how many children attend the school?
Answer:
1,400 children attend the school
Step-by-step explanation:
If 20% is 280, we can set up a proportion to solve for how many attend the school. I will put the percentages on top and the number of children on the bottom:
-> Please note that a percentage divided by 100 becomes a decimial
\(\frac{20}{280}=\frac{100}{x}\)
Cross multiply:
.2 * x = 280 * 1
.2x = 280
Divide both sides of the equation by .2:
1,400 children attend the school
We can check our work by multiplying 1,400 by 0.2:
1,400 * 0.2 = 280 ✓
\(12g=12(\frac{2}{3} g -1)+11\)
if a line has a y-axis intercept of b and a x-axis of a, express the slope of this line in terms of a and b
slope=
The slope of this line in terms of a and b is b/a
Express the slope of this line in terms of a and bfrom the question, we have the following parameters that can be used in our computation:
Intercepts = b and a
The slope of this line in terms of a and b is calculated as
Slope = y/x
Substitute the known values in the above equation, so, we have the following representation
Slope = b/a
HEnce, the slope is b/a
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A car travels a distance of 100 feet in about 2.8 seconds. What is the velocity of the car in miles per hour? Round to the nearest whole number.
the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.
A car travels a distance = 100 feet .
1 feet = 0.000189 miles
100 feet = 0.0189 miles
Time taken by the car = 2.8 seconds.
1 second = 0.000277 hour
2.8 seconds = 0.00077 h0urs
distance = speed x time
speed = distance / time
speed = 0.0189 miles/ 0.00077 h0urs
speed = 24.54 miles / hour
then, the velocity of car is 24.54 miles / hour.
the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.
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Solve the equation using distribution, combining like terms, transforming variables on both sides, and solving two step equations. Show your work on your own paper.
Answer: 2(4x – 3) – 8 = 4 + 2x =______
HURRY I NEED THE ANSWERRRRRR!
What’s the domain of this relation (-1,5) , (0,4), ( 1,2) , (3,-2)
Answer:
{-1, 0, 1, 3}
Step-by-step explanation:
A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.
EASY MATH PLS HELP !!!
Answer:
1. 52
2. 86
3. 55
Answer:
if its so easy, why cant you do it?
Step-by-step explanation:
but either way its
52
86
55
f(x) = 2x+3 and g(x) = x - 7. Find f(3)
Answer:
f(3) = 9
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x), that is
f(3) = 2(3) + 3 = 6 + 3 = 9
Answer:
f(3) = 9
Step-by-step explanation:
f(3) = 2x + 3
input the 3 into all x values since it is f(x) basically it tells you the value of x
f(3) = 2(3) + 3
f(3) = 9
the pithag tells us how the ____ lengths of ______ triangles are related
Pythagorean theorem tells us how the side lengths of right triangles are related.
The Pythagorean theorem, also known as the Pythagorean identity, states that the sum of the squares of the lengths of the two sides forming the right angle is equal to the square of the length of the hypotenuse in any right triangle (the side opposite the right angle). In other words, the Pythagorean theorem can be used to calculate the length of the hypotenuse given the lengths of the two sides of a right triangle.
This relationship can be written as the equation:
\(a^2 + b^2 = c^2\)
where a and b are the lengths of the legs, and c is the length of the hypotenuse. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.
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turn and heads southwest for 1.75 km, then makes another turn and heads east for 3.95 km. How far is she from where she started? Tries 0/99 This discussion is closed
The person is approximately 4.37 km away from where she started.
To determine the distance from where the person started, we can use the Pythagorean theorem to calculate the straight-line distance between the starting point and the final position.
Given:
Distance traveled southwest = 1.75 km
Distance traveled east = 3.95 km
Using the Pythagorean theorem:
Distance from where she started = sqrt((1.75 km)^2 + (3.95 km)^2)
Distance from where she started ≈ sqrt(3.06 km^2 + 15.6 km^2)
Distance from where she started ≈ sqrt(18.66 km^2)
Distance from where she started ≈ 4.32 km
Therefore, the person is approximately 4.37 km away from where she started.
Explanation in more than 100 words:
To calculate the distance from where the person started, we can visualize their movements as a right-angled triangle. The southwest direction can be considered as the diagonal side of the triangle, and the east direction can be considered as the adjacent side of the triangle. The distance from where she started is the hypotenuse of this triangle.
Using the Pythagorean theorem, we can calculate the magnitude of the hypotenuse (distance from where she started) by squaring the lengths of the other two sides and taking the square root of their sum.
In this case, the distance traveled southwest is 1.75 km, and the distance traveled east is 3.95 km. We can square these values:
(1.75 km)^2 = 3.06 km^2
(3.95 km)^2 = 15.6 km^2
Adding these squared values:
3.06 km^2 + 15.6 km^2 = 18.66 km^2
Taking the square root of 18.66 km^2, we find:
sqrt(18.66 km^2) ≈ 4.32 km
Therefore, the person is approximately 4.37 km away from where she started. This means that after making the two turns and traveling a total distance of 5.7 km (1.75 km southwest + 3.95 km east), she is located approximately 4.37 km in a straight line from her starting point.
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6 16 Next → Pretest: Scientific Notation Drag the tiles to the correct boxes to complete the pairs.. Particle Mass (grams) proton 1.6726 × 10-24 The table gives the masses of the three fundamental particles of an atom. Match each combination of particles with its total mass. Round E factors to four decimal places. 10-24 neutron 1.6749 × electron 9.108 × 10-28 two protons and one neutron one electron, one proton, and one neutron Mass 0-24 grams two electrons and one proton one proton and two neutrons Submit Test Particles F
We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:
1. 1.6744 × 10⁻²⁴: Two electrons and 0ne proton
2. 5.021 × 10⁻²⁴: Two protons and one neutron
3. 5.0224 × 10⁻²⁴: One proton and two neutrons
4. 3.3484 × 10⁻²⁴: One electron, one proton, and one neutron
How to match the particlesTo match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to 1.6726 × 10⁻²⁴ and one electron is equal to 9.108 × 10⁻²⁸.
To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;
1.6744 × 10⁻²⁴, we would
Add 2 electrons and one proton
= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴
= 1.6744 × 10⁻²⁴
The same applies to the other combinations.
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Need Help on this homework
Yes, the figure shown in the xy-coordinate plane is a parallelogram because side OP is parallel to side TS and side OT is parallel to side PS
How to determine whether the quadrilateral is a parallelogram by using slope?In order for any quadrilateral to be considered a parallelogram, two pairs of its parallel sides must be equal (congruent). Therefore, we would determine the slope of each side by using this mathematical equation:
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
For side OP, the slope is given by:
Slope (m) = (b - 0)/(a - 0)
Slope (m) = b/a.
For side TS, the slope is given by:
Slope (m) = (0 - )/(c - (a + c))
Slope (m) = -b/-a = b/a
Therefore, side OP is parallel to side TS.
For side OT, the slope is given by:
Slope (m) = (0 - 0)/(c - 0)
Slope (m) = 0.
For side PS, the slope is given by:
Slope (m) = (b - b)/((a + c) - c)
Slope (m) = 0
In conclusion, the figure shown above is a parallelogram because side OT is parallel to side PS and side OP is parallel to side TS.
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