Answer:
Step-by-step explanation:
Fraction that are egg and club sandwiches
\(\frac{1}{3} +\frac{1}{2} =\frac{2}{6} +\frac{3}{6}=\frac{5}{6}\)
The rest are peanut butter:
\(1-\frac{5}{6} =\frac{6}{6} -\frac{5}{6} =\frac{1}{6}\)
Solution: \(\frac{1}{6}\) of the sandwiches are peanut butter.
(02.02 MC)
If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?
Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.
(1, −1)
(−4, 1)
(1, 1)
(−4, −1)
The location of point A''' after the three transformations would be (-4, 1).
To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.
When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.
So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).
When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).
When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).
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4. What is the sum of these numbers?
-7,5, -3, 6, -4, 7, -5, 3, -1, 4.
The sum is
Answer:
the sum is going by 2
Step-by-step explanation:
the sum is 2
What is four x equals twelve
Answer:
x= 3
Step-by-step explanation:
12 ÷ 4 +3
The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given statement is "four x equals twelve"
According to the given question, translate the phrase into an algebraic expression:
⇒ 4x = 12
Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"
Now the above expression solves for variable x,
⇒ 4x = 12
Divided by 4 into both sides of the above equation,
⇒ 4x / 4 = 12 / 4
⇒ x = 3
Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.
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Help me please with my IXL GEOMETRY
Answer:
7.5
Step-by-step explanation:
hey hope this helps and is right
WILL GIVE BRAINLIEST- In the figure below, m
Answer:
JKL
Step-by-step explanation:
where is the problem
12+ b/6 = 16 what is the variable?
Answer:
\(b = 24\)
Step-by-step explanation:
Step 1: Subtract 12 from both sides
\(\frac{b}{6} + 12 - 12 = 16 - 12\)
\(\frac{b}{6} = 4\)
Step 2: Multiply both sides by 6
\(\frac{b}{6} * 6 = 4 * 6\)
\(b = 24\)
Answer: \(b = 24\)
The largest possible sum, less than 10, of two consecutive prime number is
Answer:
8
Step-by-step explanation:
Primes below 10 are 1,2,3,5,7
the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8
Any help would be great
Answer:
-1
Step-by-step explanation:
1/3 - 2/5 = x/15
Make denominators equal.
5/15 - 6/15 = x/15
Cancel the denominators.
5 - 6 = x
-1 = x
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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Mr Rodriguez said he drove 15 miles each day his accountant said he drove about 14 miles
Answer:
he drove 15 miles a day
Step-by-step explanation:
in exploration the answer is in the question
Evaluate 36 ÷ (x + 9) when x = 3. I
pls help
Answer:
3
Step-by-step explanation:
36 / (3+9)
3
Answer:
The Evaluation Is : 3.
Step-by-step explanation:
3 + 9 = 12
36÷12 =3
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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In a video game, a player can choose a character from 9 animal characters and 5 human characters. Players can let the computer randomly select a character for them. What is the probability the computer will pick an animal character if it is allowed to choose? Enter your answer as a fraction in simplest form in the boxes
Since the fraction 9/14 is already in simplest form, the probability of the computer picking an animal character is 9/14.
To find the probability of the computer picking an animal character, we need to determine the total number of characters and the number of animal characters.
Given:
Number of animal characters: 9
Number of human characters: 5
The total number of characters is the sum of the animal and human characters:
Total number of characters = Number of animal characters + Number of human characters
Total number of characters = 9 + 5
Total number of characters = 14
Now, to calculate the probability, we divide the number of animal characters by the total number of characters:
Probability of picking an animal character = Number of animal characters / Total number of characters
Probability of picking an animal character = 9 / 14
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A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8kgL of salt enters the tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 2 L/min. A(t) is the amount of salt in the tank at time t measured in kilograms.
A(t)= ?kg
Transcribed image text: (1 point) A tank contains 60 kg of salt and 2000 L of water. Water containing 0.8 min of salt enters the tank at the rate 6 min. The solution is mixed and drains from the tank at the rate 3 IA(t) is the amount of salt in the tank at time t measured in kilograms. min (a) A(0) = (kg) = 0.
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Answer: yes
Step-by-step explanation:
It usually it supposed to be in radical form, but I do not know why they give correct answer choices in the vector form.
Answer:
I think its 221
Step-by-step explanation:
f a vector coincides with its orthogonal projection onto a subspace, then the vector must be in the subspace.
The Orthogonal projection of A on Z i.e subspace formed by X and Y is A cos (90- θ) = A sin (θ).
A figure projected in parallel rays. In this projection, tangencies are preserved. On parallel lines, parallel lines converge. Both the length-to-area ratio and the length-to-area ratio of parallel segments are maintained. Any triangle can be positioned so that an orthogonal projection results in an equilateral shadow.
Let's say we have a vector. A and vector X and Y
Consider the subspace that is vector-formed. X and Y are perpendicular to the subspace vector Z, where Z = X + Y.
Cos = (X * Y) can be used to calculate the angle between X * Y and A.
A/|(X * Y)| * |A|
Now, Z and A are at a 90° angle.
As a result, A's projection onto Z, or the subspace created by X and Y, is given by A cos (90 - ) = A sin ().
The angle between the subspace and the vector whose projection we are trying to find must be determined in order to find the projection.
Use MATLAB Code for locating a projection on vector a on the subspace defined by vectors x and y. so that it will be more easy to understand
% cross product of x and y vector
xCrossY = cross(x, y);
% angle between xCrossY and vector 'a'
angle_radian = dot(xCrossY,a)/(norm(xCrossY)*norm(a));
% angle in degrees
angle_deg = rad2deg(angle_radian);
% projection of a on subspace made by x and y is asin(angle_deg)
projection = norm(a)*sin(angle_deg);
A cos (90- ) = A sin () is the orthogonal projection of A on Z, i.e. the subspace created by X and Y.
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A private resort installed 2 additional triangular pools, as an added attraction to their clients. Triangular pool ABC is congruent with the triangular pool PQR. Two sides of triangular pool ABC and PQR measures 56 ft. and 60ft. ,while the third side of pool ABC measures ( 3x + 2) ft. and pool PQR measures 20ft. How can you evaluate x value?
Using the definition of congruent triangles, the value of x is evaluated as: x = 6.
How to Find the Sides of Congruent Triangles?To find the sides of congruent triangles, note that the corresponding sides of two triangles that are congruent to each other have equal length measurement.
Given that triangular poor ABC and triangular pool PQR are congruent to each other, therefore, their corresponding sides will have the same length.
This means that the third sides of both triangles will be equal, which are:
(3x + 2) = 20
Solve for x:
3x + 2 = 20
3x + 2 - 2 = 20 - 2
3x = 18
3x/3 = 18/3
x = 6
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Solve the equation for y. 2x + 5y = 5
A. y = -2/5 x + 1
B. y = -10x + 25
C. y = 2/5 x + 5
D. y = 2/5 x + 1
the correct answer is A) y = -2/5x + 1
Step-by-step explanation:
2x + 5y - 5 = 0
2/5x + y - 1 = 0
y = - 2/5x + 1
The intersection point of an angle bisectors of a triangle
Answer: The point of intersection of angle bisectors of the 3 angles of triangle ABC is the incenter . The incircle touches each side of the triangle
This morning, Kendall drank a cup of coffee that had 95 milligrams of caffeine in it. She didn't have any more caffeine for the rest of the day. Kendall read online that the amount of caffeine in her body will decrease by approximately 13% each hour. Write an exponential equation in the form y=a(b)x that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ____. To the nearest milligram, how much caffeine will be in Kendall's body after 12 hours?
An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is
The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.
What is an exponential function?In Mathematics, an exponential function can be modeled by using the following mathematical equation:
f(x) = a(b)^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:
Rate of change (decay rate) = 100 - 13 = 87% = 0.87.
By substituting the parameters into the exponential equation, we have the following;
\(f(x) = 95(0.87)^x\)
When x = 12, we have;
\(f(12) = 95(0.87)^{12}\)
f(12) = 17.86 ≈ 18 milligrams.
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What value of x is in the solution set of –2(3x + 2) > –8x + 6?
–6
–5
5
6
Answer: X=6
Step-by-step explanation:
Answer:
its 6 i took the test
Step-by-step explanation:
A boat leaves the entrance to a harbor and travels 200 miles on a bearing of N51°E. How many miles north and how many miles east from the harbor has the boat traveled?
Thus, the boat travels x = 139.18 miles in North direction and y = 143.62 miles east from the harbor.
Explain about the components of vector:It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.
As indicated below, we must determine how far east and north the boat has moved relative to the harbour.
In this diagram, the boat is seen leaving the harbour at a bearing of N51E (measured from north to east) and a magnitude of 200 miles. The boat travelled a horizontal distance through the east, which we refer to as "x," and a vertical distance through the north, which we refer to as "y."X miles north:
cos 51 = x/200
x = 200*cos51
x = 139.18 miles
y miles east:
sin 53 = y/200
y = 200*sin 51
y = 143.62 miles
Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.
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Write the sum of the given geometric series as a rational number.
0.8 + 0.08 + 0.008 + 0.0008 + ...
The rational number is:________.
(Simplify your answer. Type an integer or a fraction.)
Answer:
\(\frac{8}{9}\)
Step-by-step explanation:
Given
Series: 0.8 + 0.08 + 0.008 + 0.0008 + ...
Required
Determine a rational number to represent the series
To do this, we simply get the sum to infinity of the series;
This is done as follows;
\(S = \frac{a}{1 - r}\)
Where a represent the first term
\(a = 0.8\)
r represent the common ratio
\(r = \frac{0.08}{0.8}\)
\(r = 0.1\)
Substitute these values in the above formula
\(S = \frac{0.8}{1 - 0.1}\)
\(S = \frac{0.8}{0.9}\)
Multiply the numerator and denominator by 10
\(S = \frac{8}{9}\)
Hence;
The number is \(\frac{8}{9}\)
please help it's due tomorrow
Answer:
B. -414,720 x⁷y⁶
Step-by-step explanation:
To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.
The binomial theorem states that for an expression of the form (a + b)ⁿ:
\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)
For the expression (2x - 3y²)¹⁰:
a = 2xb = -3y²n = 10Therefore, each term in the expression can be calculated using:
\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)
The 4th term is when r = 3. Therefore:
\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)
So the 4th term of the given expansion is:
\(\boxed{-414720\:x^7y^6}\)
Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
select the expression that is NOT equivalent to 35p+25
A 5(5+3p+4p)
B 5(15p+5+20p)
C 5(5+7p)
D 5(4p+3p+5)
Michelle had 7 paperback books and 4 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books
Answer:
7:4 that would be the ratio
Evaluate the following expression.10+5 3 −1=
Answer:
62
Step-by-step explanation:
Pls help pls ASAP 1,2,3,4
Answer:
3
Step-by-step explanation:
Answer: the third on i think
Step-by-step explanation: