Answer:
The length of PQ is 3 Length of QR is 2
Step-by-step explanation:
\(sin = \frac{opp}{hyp} \)
\( \sin(60) = \frac{opp}{4} \)
\(opp = 3.464101615\)
The length of QR is 3.5
//
\( {c}^{2} - {b}^{2} = {a}^{2} \)
\( {4}^{2} - {3.464101615}^{2} = {4.000.......}^{2} \)
\( \sqrt{4.000.......} = 2\)
The length of PQ is 2
Bob left a tip of 15% for the lunch he just bought. If this lunch cost $24.40, how much of a tip did Bob leave?
Answer:
i think 20.74
Step-by-step explanation:
I think that might be right because if you have 24.40 mines - 15% that is 20.74
-6(2x+3)=-12x-18
plz help i will give you braneset
Answer:
-6(2 x + 3) =-12 x-18 = 0 (after you simplify) :)
Step-by-step explanation:
The numerical measure that reveals only the direction of the linear relationship between two variables, but not the strength of the linear relationship, is referred to as the ______.
The numerical measure that reveals only the direction of the linear relationship between two variables, but not the strength of the linear relationship, is referred to as the correlation coefficient.
The correlation coefficient is defined as the statistical measure that indicates the linear relationship between two variables, which can be positive, negative, or zero.
It is a numerical measure that reflects only the direction of the relationship between the variables, but not the strength of the relationship.
The correlation coefficient is represented by the letter r and is calculated by dividing the covariance of the two variables by the product of their standard deviations.
The range of the correlation coefficient lies between -1 and +1, where a value of +1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation.
SummaryThe correlation coefficient is a numerical measure that reflects only the direction of the relationship between two variables, but not the strength of the relationship. It is represented by the letter r and is calculated by dividing the covariance of the two variables by the product of their standard deviations. The range of the correlation coefficient lies between -1 and +1.
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A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer spent $226.50 all together.
How many washcloths did the customer buy?
Answer:
3
Step-by-step explanation:
10.50 x 3 = 31.5
15 x 13 = 195
195 + 31.5 = 226.50
please help!!!!!!!!!!!!!
Answer:
The answer is 3/20 or 0.15 as a decimal.
Step-by-step explanation:
A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
A cone is sliced in such a way that the plane cuts in a direction parallel to the base, what is the resulting cross section?
When a cone is sliced in a direction parallel to the base, the resulting cross section is a circle.
A plane parallel to the base will intersect the curved surface of the cone at the same distance from the vertex all the way around, creating a circular shape.
This type of cross section is called a parallel cross section, and it is one of three types of cross sections that can be made when slicing a cone (the others being perpendicular and oblique).
In practical terms, this means that if you were to slice a cone-shaped cake or piece of fruit parallel to the base, you would end up with circular slices. This type of slicing can also be useful in engineering and construction, as it can create cylindrical shapes that can be used as columns or supports.
In summary, when a cone is sliced parallel to the base, the resulting cross section is a circle, and this type of slicing can be useful in a variety of applications.
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a polyhedron has all faces triangles or quadrilaterals, and $1001$ edges. what is the difference between the maximum and minimum possible numbers of faces?
Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.
A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.
Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.
Therefore, the minimum number of triangular faces of a regular polyhedron is = 4
Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.
A polyhedron having equal quadrilateral faces is known as regular hexahedron.
quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula
F + V-E = 2
=> F + 6- 100= 2 => F = 96 maximum faces possible = 96
Now the difference between maximum and minimum number of faces = 100 - 4 = 96
So the difference between maximum and minimum faces is 96.
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can someone help me with this
Please help, I don't understand how to do this equation
Answer: B) -1/3i
Step-by-step explanation: 81(-1/3i)^4
Answer:
Step-by-step explanation:
81x^4=1
x^4=1/81
(x^4)^(1/4)=(1/81)^(1/4)
x=+\-1/3
so -1/3 is a solution
pls help me 98+29 x=96+33x
Answer:
x=1/2
Step-by-step explanation:
98+29x=96+33x
Step 1: Simplify both sides of the equation.
29x+98=33x+96
Step 2: Subtract 33x from both sides.
29x+98−33x=33x+96−33x
−4x+98=96
Step 3: Subtract 98 from both sides.
−4x+98−98=96−98
−4x=−2
Step 4: Divide both sides by -4.
−4x
−4
=
−2/−4
x=1/2
POSSIBLE POINTS 162 + 122Which equation written below in vertex form is equivalent to the equation y = 22Oy= (x – 3)Oy= (2-6)² + 12Oy= (x+3)+ 3Oy= (2 – 3)2 +3
Given:
\(y=x^2-6x+12\)\(y=x^2-6x+3^2-3^2+12\)\(y=(x-3)^2-9+12\)\(y=(x-3)^2+3\)prtion D is the correct answer.
Algebraic math question
Answer:
\( 7 \: {ft}^{2} \)
Step-by-step explanation:
Area of the trapezoidal table
\( =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2\)
\( = 7 \: {ft}^{2} \)
Answer:
7 ft squared
Step-by-step explanation:
Area of the trapezoidal table
3÷2.58=
what's the answer i'm fr wut is the answer
Answer:
1.1627907
Step-by-step explanation:
Answer:
1.162
Step-by-step explanation:
use lond divison but it goes on forever
Can y’all help me what do I do here please I’ll give you brainliest
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0
0 + 1 = 1
2 ÷ 2 = 1
1 + 1 = 2
-8 ÷ 2 = -4
-4 + 1 = -3
100 ÷ 2 = 50
50 + 1 = 51
Use substitution to compose y=6u^2 and u=5x−1. Enter your answer as an equation, and simplify your answer as much as possible.
Answer:
y = 150x^2 -60x +6
Step-by-step explanation:
Do what the problem statement tells you: substitute for u.
y = 6u^2
y = 6(5x -1)^2 . . . . . . . . . . substitute 5x-1 for u
y = 6(25x^2 -10x +1) . . . . expand the square
y = 150x^2 -60x +6 . . . use the distributive property
Solve the quadratic equation 3x^2+8x=30 by completing the square.
Which expression correctly represents the solutions of the equation?
4±√74/3
-4±√106/3
8±2√106/6
-3±√26/3
Answer:
B
Step-by-step explanation:
im bad at explaining this :(
John has a jar filled with juice. After he poured 350 ml of juice in each 8
glasses he was still left with 200 ml juice in the jar. What was the capacity
of jar in liters?
Answer:
Step-by-step explanation:
If there were 8 glasses of juice, and 350 ml was poured into each glass, then the total amount of juice poured into the glasses would be 8 x 350 = 2800 ml.
After pouring this much juice, John was still left with 200 ml juice in the jar.
Therefore, the capacity of the jar would be the total amount of juice poured into the glasses plus the amount remaining in the jar, which is 2800 ml + 200 ml = 3000 ml.
To convert this volume to liters, we can divide by 1000. Therefore, the capacity of the jar in liters would be 3000 ml / 1000 = 3 liters.
So, the capacity of the jar is 3 liters.
Consider a sample space with 7 elements. Let A be an event with 5 elements and B be an event with 4 elements. Let's assume that there are 2 repeated elements between both events.P(A y B) =A) 4/7B) 2/7C) 5/7D) 9
Option D (9) is not a probability and is not a possible answer choice for a probability question.
To find the probability of the intersection of events A and B (denoted as P(A ∩ B)), we need to know how many elements are in both A and B. Since there are 2 repeated elements between the events, this means that there are a total of 7 - 2 = 5 distinct elements between them.
Therefore, P(A ∩ B) = 5/7.
Note that none of the answer choices provided match this result exactly. Option A is the closest with a probability of 4/7, but this is the probability of A alone, not the intersection of A and B. Option B (2/7) is the probability of B alone and option C (5/7) is the probability of either A or B occurring, not the intersection.
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determine if law of sines or law on cosines is the best choice substitute the values into the appropriate formula and solve
Answer:
Hi again, use the sine rule for length. answer: 82.42
Step-by-step explanation:
A fully loaded and fueled spacecraft can weigh close to million pounds. What is this weight converted to tons?
Answer:
The answer is 500 pounds
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!
Answer:
This would be A.
Step-by-step explanation:
Because
12\(b^{2}\) - 6\(b^{2}\) = 6\(b^{2}\)
-3b - 3b = -6b
0 + ( -2 ) = -2
6\(b^{2}\) - 6b - 2
Hope this helps!
Given ohe 6 -digit binary number a and 4 -digit binary number b, what is the maximum number of binary digits that a⋅b can be? Question 10 In general, given any x-digit number a and y-digit number b with digit size s, what is the maximum number of digits of size s that a⋅b can be? Question 11 1 pts In general, given an x-bit number a and a y-bit number b, how many bits of storage space is needed to store a⋅b ?
Question 10: The maximum number of digits that the product a⋅b can have is 8 digits.
Question 11 : The maximum number of bits needed to store the product a⋅b is (x + y) + 1 bits.
In binary arithmetic, the multiplication of two binary numbers can result in a product that has a different number of digits than the original numbers. In this response, we will explore the maximum number of binary digits that the product of two binary numbers can have, based on the number of digits in each operand.
Question 10:
Let's consider a 6-digit binary number 'a' and a 4-digit binary number 'b'. To find the maximum number of binary digits that the product a⋅b can have, we need to multiply 'a' and 'b' and determine the number of digits in the resulting product.
The maximum number of digits in the product can be found by adding the number of digits in 'a' and 'b' and subtracting 1. The subtraction of 1 is necessary because the product of 'a' and 'b' may not require the full number of digits obtained by simple addition.
In this case, 'a' has 6 digits and 'b' has 4 digits. So, the maximum number of digits that the product a⋅b can have is
= (6 + 4) - 1
= 9 - 1
= 8 digits.
Question 11:
Now, let's generalize the concept for any x-bit number 'a' and y-bit number 'b'. We want to determine how many bits of storage space are needed to store the product a⋅b.
The number of bits required to store the product a⋅b can be calculated as the sum of the number of bits in 'a' and 'b'. However, an additional bit may be needed to accommodate any possible carry during the multiplication process.
Considering 'a' has x bits and 'b' has y bits, the maximum number of bits required to store the product a⋅b can be given by (x + y) + 1.
The additional bit is included to handle any potential carry generated during the multiplication. This ensures that the product can be accurately represented without overflow.
In conclusion, for any x-bit number 'a' and y-bit number 'b', the maximum number of bits needed to store the product a⋅b is (x + y) + 1 bits.
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Pleaseeee helppppppp meeeeeeeeeee pleaseeee dontttttt guesssss
A fisheries research report gives the following regression equation for the relationship between the length(L) in cm and weight (W) in grams, of the gracile lizardfish, a small marine fish that lives in the Indian Ocean:
lnW=!5.36+3.216lnL
What is the predicted weight of a lizardfish that was 12 cm long, based on this model?13.80 gram
The predicted weight of a lizardfish that is 12 cm long, based on the given model, is approximately 13.80 grams.
The predicted weight of a lizardfish that is 12 cm long, based on the given regression model lnW = -5.36 + 3.216lnL, is approximately 13.80 grams.
To calculate the predicted weight, we substitute the value of L = 12 cm into the regression equation. Taking the natural logarithm of both sides, we get:
lnW = -5.36 + 3.216ln(12)
Evaluating the right-hand side of the equation, we have:
lnW ≈ -5.36 + 3.216ln(12)
≈ -5.36 + 3.216(2.48491) [ln(12) ≈ 2.48491]
≈ -5.36 + 7.99604
≈ 2.63604
Taking the inverse of the natural logarithm (exponential function), we find:
W ≈ e^(2.63604)
≈ 13.80 grams
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2. A woman travelled from Lagos to Ondo a distance of 350km. Her average speed on the outward journey was ykm. On the return journey, her average speed was 10km/hr faster and therefore she completed the return journey 37.5minutes earlier. Find A. The value of y B. Get average speed on the return journey in km/hr C. The total time taken for the whole journey in hrs. Good luck
Answer:
70 km/h
9 hr 22.5 min
Step-by-step explanation:
Given
Distance = 350 kmSpeed = yReturn speed = y + 10Time difference on return = 37.5 min = 37.5/60 hr = 5/8 hrDifference in time as equation:
350/y - 5/8 = 350/(y+10)(8*350 -5y)/8y = 350/(y+10)(y+10)(560 - y)= 8y*70560y - y² +5600 - 10y = 560yy² + 10y - 5600=0y = (-10 ± √(100 +4*5600))/2y = (-10 ±150)/2y= 70 y = -80 not considered as negative valueAverage speed was 70 km/h
Total time = 350/70 + 350/(70+10) = 5 + 4.375 = 9.375 hr = 9 hr 22.5 min
A measure of the number of square units needed to cover the outside of a figure is called ………
A
Volume
B
Curved surface area
C
Area
D
Surface area
The correct answer is D) Surface area. The surface area of a figure is a measure of the total area covered by its outer surfaces. It is typically expressed in square units.
When dealing with three-dimensional figures, the surface area includes the sum of the areas of all its faces, while in the case of two-dimensional figures, it refers to the perimeter or the sum of the lengths of all sides.
The surface area is an important measurement as it helps us understand the amount of material required to cover the outer portion of a figure, such as when painting a wall or determining the amount of wrapping paper needed for a gift.
It is distinct from the volume, which measures the space occupied by the figure's interior, and from the curved surface area, which specifically refers to the area of curved surfaces.
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Timothy is at an elevation of –17.65 meters below sea level. He descends by 3
meters to observe a coral. What is his new elevation relative to sea level?
7Printх7077Turn it in(x,y) → (x + 7y - 12); rotation 90° clockwise about the origin; (x,y) → (x + 5, y + 3);w.y) (select) x, (select) vy)Save & Close
undergoesAssuming the initial coordinate of the reference point is -4, 6
After translation (x +7 , y - 12)
The new position of the point will be (3, -6), that is it has been shifted to right 7 units and downward 12 units
Then it undergo a rotation counter-clockwise by 90 degrees
This transformation will make the coordinate be ( -6, -3 )
Thereafter it is translated by (x +5, y+ 3) (shifted to the right 5 units and upward 3 units)
The present position of the point is ( -1, 0)
Therefore
(x , y ) ----------> (-1 , 0 )
I do not understand how to simplify this can someone please help me?
Answer:
It's 8¹⁰
Step-by-step explanation:
\(8^6 * 8^4 = 8^{(6 + 4)} = 8^{10}\)