The correct option when Triangle ABC is transformed to triangle A′ B′ C is A.The measure of angle BCA = The measure of angle C prime A prime B prime.
How to illustrate the triangle?Triangle ABC is changed into triangle A′B′C′ and on the x- and y-axes, a coordinate grid ranging from -4 to -4 to 4 is displayed. A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0 in the triangle ABC.
A triangle Primes A, B, and C have A prime is at ordered pair minus 1, minus 3, B prime is at ordered pair minus 0, and C prime is at ordered pair minus 3, 0.
A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Therefore,
<BAC = <B'A'C'
<ABC = <A'B'C'
<ACB = <A'C'B'
In this case, the correct option is A.
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Find the Exponents!
(2 points each)
For numbers 5-7, use the properties of exponents to determine what numbers should
replace each variable written as an exponent below that will make the equations true.
LOOK AT THE PHOTO
DO NOT DO NUMBER 8
I ONLY NEES 5,6,7
Using the property of exponents the numbers are determined as follows
5. x = 9
6. b = -4
7. n = 0
How to determine the numbersAn exponential equation can be solved using the same bases because to the property of equality of exponential functions. It states that if all sides of an exponential equation have identical bases, then the exponents must likewise be equal.
The property is applied in the following equations
5. 8² * 8ˣ = 8¹¹
equating the powers
2 + x = 11
x = 11 - 2
x = 9
6. 5⁷ * 5ᵇ = 5³
equating the powers
7 + b = 3
b = 3 - 7
b = -4
7. x¹² * xⁿ = x¹²
equating the powers
12 + n = 12
n = 12 - 12
n = 0
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Which equation represents the function on the graph?
ANSWER CHOICES
A: f(x)= cos 1/4x
B: f(x)= sin 4x
C: f(x)= cos 4x
D: f(x)= sin 1/4x
The equation represents the function on the graph is f(x)= cos 4x.
What is the function on the graph?
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
We have given,
A: f(x)= cos 1/4x
B: f(x)= sin 4x
C: f(x)= cos 4x
D: f(x)= sin 1/4x
To find the equation represent the function on the graph:
f(x) = cos 4x
let take the values on the x-axis of the graph,
x = п/2, п, 3п/2, 2п, 5п/2
For cos 360 degrees, the angle 360° lies on the positive x-axis. Thus cos 360° value = 1
Since the cosine function is a periodic function, we can represent cos 360° as, cos 360 degrees = cos(360° + n × 360°), n ∈ Z.
⇒ cos 360° = cos 720° = cos 1080°, and so on.
so, cos 4( п/2) = cos 4( 3п/2) = cos 4( 2п) = cos 4( 5п/2) = 1.
Hence, the equation represents the function on the graph is f(x)= cos 4x.
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Draw the line of reflection that reflects quadrilateral ABC D onto quadrilateral A' B'C'D'.
The line of reflection that reflects the quadrilateral ABCD to quadrilateral A'B'C'D' is at y = 2, and it is parallel to x-axis.
What is reflection?A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.
From the given figure we can observe that the figure is reflected.
Let us suppose C as the reference point. The coordinates of C and C' are:
C = (0, 2)
C' = (0, 2)
The coordinates of x for C and C' are similar hence, the line of reflection is parallel to x-axis.
To find the value of line of reflection we take the midpoint, that is:
[tex]y = \frac{y_1 + y_2}{2}\\\\y = \frac{2+2}{2} \\\\y=2[/tex]
Hence, the line of reflection lies on y =2 and it is parallel to x-axis.
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Consider the matrices.
L=[21−32], M=⎡⎣⎢⎢⎢⎢−1−22−17−6−310⎤⎦⎥⎥⎥⎥, N=[1234], P=[0000], and Q=[−6−8].
What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Product is defined. Product is not defined.
The product of two matrices L and P is given as L × P = [tex]\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex].
A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
The product of matrices is only possible when the matrices have one of the matching orders with rows and columns.
Since among the given matrices, only matrix P and matrix L has the same order so,
[tex]L\times P = \left[\begin{array}{cc}2&-3\\1&2\end{array}\right]\times \left[\begin{array}{cc}0&0\\0&0\end{array}\right]\\L \times P = \left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex]
Thus, the product of two matrices L and P is given as L × P = [tex]\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex].
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Find the area of the region enclosed by the inner loop of the curve.
r= 2+4sin(theta)
The area of the region enclosed by the inner loop of the curve is 8π/3.
The term area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Here we have Given the following values,
r = 2 + 4 sin (θ)
Now, we have to substitute the value of r = 0, then we get
⇒ 0 = 2 + 4 sin (θ)
⇒ 4 sin (θ) = -2
⇒ sin θ = -1/2
⇒ θ = -π/6
Therefore, the limit lies in the interval -π/6 to + π/6
Now, the value of Area of polar region is calculated as,
=> A = ∫
Now, by Substituting the values
A=∫π/6−π/6 (2 + 4 sin (θ)) dθ
When we simplify this one then we get the value as,
=> A = 16 [θ + 1/6 sin6θ]
Apply the limit value, then we get
=> A = 16[(π/6 + 0) - (0 + 0)]
=> A = 8π/3
Therefore, the area of the region enclosed by the inner loop of the curve is 8π/3.
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mary needs to make a total of 40 deliveries this week she so far has made 38 oif them what percentage of her total deliveries has mary completed
The percentage of the total deliveries made by the Mary is equal to 95%.
As given in the question,
Total number of deliveries need to be delivered by the Mary this week = 40
Total number of deliveries completed by Mary is equal to 38
Percentage formula = [( Number obtained ) / (Total number ) ] × 100
Substitute the value in the formula we get,
The percentage of the completed deliveries made by Mary is
= ( 38 / 40 ) × 100
= 3800 / 40
= 95%
Therefore, the total percentage of the completed delivery made by Mary is equal to 95%.
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a tree limb hangs 51 feet from a telephone wire. the city trims back the branch before it grows within 2; feet of the wire. will the city allow the tree to grow 2} more feet?
No, the city will not allow the tree to grow 2} more feet.
The telephone wire is a safety hazard, so the city trims back the branch so that it does not come closer than 2 feet to the wire. To calculate if the tree can grow 2} more feet, we need to find out how far the branch is currently from the wire and subtract 2 feet.
Let x = the current distance of the branch from the wire
51 - x = 2
x = 49 feet
Therefore, the branch is currently 49 feet away from the wire, which is less than 2} feet. Since the city trims back the branch when it grows closer than 2 feet to the wire, the city will not allow the tree to grow 2} more feet.
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Jayvik and Fay are making 3-digit codes. The digit 0 is not used.
Jayvik only uses odd digits and Fay only uses even digits.
Jayvik can make x more codes than Fay.
Assume that digits can be repeated.
Work out the value of x.
Answer:
x = 61
Step-by-step explanation:
Let's call the number of codes Jayvik can make, j, and the number of codes Fay can make, f. We know that since 0 cannot be used, Jayvick can have 5 number choices (1, 3, 5, 7, 9), and Fay can have 4 number choices (2, 4, 6, 8). To calculate the number of possible codes for Jayvick, we will have:
5 * 5 * 5 = 125
So Jayvick can make 125 codes. Then, for Fay we have:
4 * 4 * 4 = 64
So Fay can make 64 codes. We were told at the beginning that:
j = f + x
So, we substitute our numbers in, giving us:
125 = 64 + x
Minusing 64 from both sides gives us:
x = 61
So, x = 61.
Hope this helped!
Please give Brainliest if possible!
on a coordinate plane, which point lies on the y-axis? question 2 options: (9,9) (9,0) (0,9) (-9,-9)
On the coordinate plane , the point which lies on the y -axis is given by option ( 0 , 9 ).
As given in the question,
On the coordinate plane :
Point which lies on the y - axis is given by :
a. ( 9 , 9 )
This coordinate lies in the first quadrant. It will not lies on any of the axis.
False.
b. ( 9 , 0 )
In this coordinate has y-,coordinate is equal to zero , it lies on the x- axis.
False.
c. ( 0 , 9 )
In this coordinate has x-,coordinate is equal to zero , it lies on the y- axis.
True.
d. ( -9 ,-9 )
This coordinate lies in the third quadrant. It will not lies on any of the axis.
False.
Therefore, on the coordinate plane the point that lies on the y-axis is
( 0, 9).
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Eva drew a shape pattern that goes back and forth between rectangles and ovals. What are two other ways you can describe this set of shapes?
Answer: 3 ovals and 3 rectangles and an even amount of rectangles and ovals
The point (-3,2) was transformed under a dilation of 4 with respect to the origin. What’s the image point?
The image point of the point is (-12,8)
How to determine the image pointA dilation is a transformation that changes the size of a figure but not its shape.
In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.
In this case, the point (-3, 2) is transformed under a dilation of 4 with respect to the origin.
So the image point is (kx, ky) = (-34, 24) = (-12, 8)
So the image point of (-3,2) under a dilation of 4 with respect to the origin is (-12,8)
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a three dimensional object with two identical circular ends and one side
Answer:
cylinder
Step-by-step explanation:
Burt deposited $100,000 into an account that compounds interest semiannually at a rate of 2.66%. At the end of each 6-month period, a withdrawal of $8000 is made from the account. How long will it take until the account has a balance of $0? round your answer to the nearest year.
step by step formula pls <3
Answer:
Step-by-step explanation:
The formula for calculating the time it will take for an investment to reach a certain amount given a rate of return and regular withdrawals is:
Time = (ln(Final Balance/Initial Balance))/(ln(1 + Rate of Return))
In this case, the Initial Balance is $100,000, the Final Balance is $0, and the Rate of Return is 2.66%.
Time = (ln(0/100000))/(ln(1 + 0.0266))
Time = (-11.51)/(0.026101)
Time = -440.17
Since the time is given in years, we need to round the answer to the nearest year.
Answer: It will take 440 years for the account to have a balance of $0.
− 3/7 + 5/2 ????????????
PLEASE HELPPPP
Answer:
29/14
Explanataion:
which best describes the rule for this pattern? 1 comma space minus 12 comma space 12 comma space minus 1, ...
The rule for the given pattern is to subtract 13, then add 24.
The correct Option is (A.) subtract 13, then add 24.
What is A Number Pattern?A pattern or sequence in a series of numbers is called a number pattern. In general, this pattern builds a connection between all integers.
In this question we have the following pattern:
1, -12, 12, -1
Here we need to find the rule for this pattern.
Let's take the first number of the pattern, which is 1:
1
To obtain the second number of the pattern, which is -12, we must subtract 13, because:
1 - 13 = -12
To obtain the third number of the pattern, which is 12, we must add 24, because:
-12 + 24 = 12
Therefore, the correct answer is A.) subtract 13, then add 24
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The complete question is: "Which best describes the rule for this pattern? 1,-12,12,-1 A.) subtract 13, then add 24 B.) subtract -13, then add 24 C.) subtract -24, then add 13 D.) subtract 24, then add 13"
the radius of a circle is decreasing at a constant rate of 7 centimeters per second. at the instant when the radius of the circle is 44 centimeters, what is the rate of change of the area? round your answer to three decimal places.
The rate of change of the area of the circle is decreasing at a rate of 97.636 cm^2/s when the radius is 44 cm.
Use the formula A=pi*r^2 to calculate the area of the circle when the radius is 44cm.
A=pi*r^2
A= 3.14159*(44 cm)^2
A= 6081.816 cm^2
Use the formula A'=2pi*r*r' to calculate the rate of change of the area.
A'=2pi*r*r'
A'= 2*3.14159*44 cm*(7 cm/s)
A'= 97.636 cm^2/s
The area of a circle is calculated by the equation A=pi*r^2, where r is the radius of the circle. At the instant when the radius of the circle is 44 centimeters, the area is 6081.816 cm^2. To calculate the rate of change of the area, we use the equation A'=2pi*r*r', where r' is the rate of change of the radius. In this case, the radius of the circle is decreasing at a rate of 7 cm/s, so r'=7 cm/s. Plugging these values into the equation, we get A'=2*3.14159*44 cm*(7 cm/s), which equals 97.636 cm^2/s. Therefore, the rate of change of the area of the circle is decreasing at a rate of 97.636 cm^2/s when the radius is 44 cm.
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Determine if the given vector is in the range of t(x) = ax where a = 1 -2 0 3 2 1
The given vector is v = -3 4 -1 0. The given vector is not in the range of t(x).
To determine if this vector is in the range of t(x) = ax where a = 1 -2 0 3 2 1, we need to check if there exists a vector x such that t(x) = ax = v. This can be represented as the following equation:
1x1 - 2x2 + 0x3 + 3x4 + 2x5 + 1x6 = -3
We can solve this equation using Gaussian elimination. After row operations, we can obtain the following reduced row-echelon form:
1 0 0 0 0 3/2 = -3
Since the left-hand side does not equal the right-hand side, we can conclude that the given vector is not in the range of t(x).
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Which one would it be ?
Answer: A
Step-by-step explanation:
please do this it's due tommrow
Answer: 10. equal 0.27
11. 5.12
12. 3.35
Step-by-step explanation:
10. 0.9 * 0.3 = 0.27
11. 1.6 * 3.2 = 5.12
12. 0.5 * 6.7 = 3.35
13. 0.81*7.3 = 5.873
14. 5.6*3.9 = 21.84
15. 1.2 * 0.05 = 0.06
L83) use product to sim identities to rewrite the expresiion as the sum or diference of two functions.
cos 2x cos 6x
The expression 2x cos 6x can be rewritten using product to sum identities as 1/2(cos(8x) + cos(-4x))
How to use product to sum identities to rewrite an expression as the sum or difference of two functions?
Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
The product to sum identities we are going to need in this case is given by the formula:
cos(a) cos(b) = 1/2 (cos(a+b) + cos(a-b))
Since we have cos 2x cos 6x. Thus:
cos 2x cos 6x = 1/2 (cos(2x+6x) + cos(2x-6x))
= 1/2 (cos(8x) + cos(-4x))
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The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 30 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 11 ft/sec. Introduce coordinates so that the cup is the origin of an xy-coordinate system. Provide numerical answers below with two decimal places of accuracy.
It takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.
How is this determined?In this problem, we are given the radius of the circular green (30 feet) and the speed of the ball (11 ft/sec). We are also given a diagram of the ball's starting point and the location of the cup, which is at the origin of the xy-coordinate system.
We can introduce coordinates by assigning the x-coordinate to be the horizontal distance from the cup (the origin) and the y-coordinate to be the vertical distance from the cup.
From the given diagram, we can see that the ball's starting point is at (x,y) = (-15, -18). The cup is at (0,0). We are asked to find the time it takes for the ball to reach the right-most edge of the green.
To find this, we first need to find the distance between the ball's starting point and the right-most edge of the green. We can use the Pythagorean theorem to do this:
d = √((x2-x1)^2 + (y2-y1)^2) = √((15)^2 + (18)^2) = 21
Now that we have the distance, we can use the formula:
time = distance / speed = 21 / 11 = 1.909 sec (approx)
So it takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.
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If quadrilateral lmno is a parallelogram, what must the measure of angle lmn be? m∠lmn = °
The measure of angle ∠LMN = 105°
What is a parallelogram?
A parallelogram is a quadrilateral, which is a four-sided polygon, with opposite sides that are parallel. Additionally, opposite angles in a parallelogram are congruent (equal in measure). So, if a figure has parallel opposite sides and congruent opposite angles, then it is called a parallelogram.
In the given figure, quadrilateral LMNO is a parallelogram in which ∠L = 25x° and ∠MNO = (22x + 9)°
We have get the measurement of ∠LMN
Since in a parallelogram opposite angles are equal.
Therefore 25x = 22x + 9
25x - 22x = 9
3x = 9
x = 3
From another property of a parallelogram, we know that consecutive angles are supplementary.
∠LMN + ∠ONM = 180°
∠LMN = 180 - ∠OLM = 180 - (25x) = 180 - (25×3)
∠LMN = 180 - 75 = 105°
Hence, the measure of angle ∠LMN = 105°
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Grace is making cookies. She has 6 tablespoons of baking soda left in the container. If she uses 2 teaspoons of baking soda for her recipe, how many teaspoons of barking soda will be left??
The number of teaspoons of baking soda will be left will be 4 teaspoons.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Grace is making cookies. She has 6 tablespoons of baking soda left in the container. If she uses 2 teaspoons of baking soda for her recipe.
Then the number of teaspoons of baking soda will be left will be given as,
⇒ 6 - 2
⇒ 4
The number of teaspoons of baking soda will be left will be 4 teaspoons.
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Answer:
4 teaspoons is left.
Step-by-step explanation:
Now we have to,
→ find teaspoons of baking soda left.
Given information,
→ Total = 6 teaspoons
→ Used = 2 teaspoons
→ Left = x
Forming the equation,
→ 6 = x + 2
Then the value of x will be,
→ 6 = x + 2
→ x + 2 = 6
→ x = 6 - 2
→ [ x = 4 ]
Hence, the value of x is 4.
organizations such as the u.s. centers for disease control (cdc) often use data collected from hospitals. what kind of data is the cdc using if it is collected by hospitals, then sold to the cdc for its own analysis? 1 point
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.
Data plotting: What is it?The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.
Here,
Given :
Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).
In order to determine what data they use,
From the information provided, it is clear that they are using second-party data.
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.
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What is the domain and range of an inverse function of tangent?
The inverse function of tangent (tan^-1) is also known as arctangent. The domain of arctangent function is all real numbers and its range is (-π/2, π/2).
The tangent function, tan(x), is defined for all real numbers x, but it's not defined when x = (nπ + π/2), where n is an integer. So the domain of the tangent function is all real numbers except (nπ + π/2), where n is an integer.
When we take the inverse of a function, we switch the roles of the domain and range, so the domain of the tangent function becomes the range of the inverse function and the range of the tangent function becomes the domain of the inverse function. The range of the tangent function is all real numbers, but it is not defined for (nπ + π/2), where n is an integer. So the domain of the arctangent function is all real numbers except (nπ + π/2), where n is an integer.
The range of arctangent function is (-π/2, π/2) because the range of arctangent function is the set of all possible values of the input of tangent function for which it is defined.
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Solve for x over the complex numbers. x2+8x+20=0 Enter your answers in the boxes in standard form. x = or x =
The two solutions for x are x = -4 + 4i and x = -4 - 4i. These solutions are in standard form, as required.
The given equation is a quadratic equation in x, of the form ax2 + bx + c = 0, where a = 1, b = 8 and c = 20.
To solve this equation, we use the quadratic formula, which states that the two roots of the equation are:
x = [-b ± √(b2 - 4ac)] / 2a
Since a = 1, the formula simplifies to:
x = [-8 ± √(82 - 4(1)(20))] / 2
Substituting the values for a, b and c, we get:
x = [-8 ± √(-64)] / 2
Taking the positive and negative square roots of -64, we get:
x = [-8 ± 8i] / 2
Simplifying, we get:
x = -4 ± 4i
Therefore, the two solutions for x are x = -4 + 4i and x = -4 - 4i. These solutions are in standard form, as required.
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2 plus the cube of a number.
The question is asking to express the mathematical operation: 2 plus the cube of a number, this can be written as 2+x^3. 'x' represents the unknown number, and 'x^3' depicts the cube of that number.
Explanation:This question pertains to the mathematical concept known as the 'cube' of a number. It is asking for the expression of the operation: 2 plus the cube of a number. In mathematical terms, if we let x be the unknown number, then the expression can be written as 2+x^3. Here, 'x' represents any number and 'x^3' denotes the cube of that number. So if x was 2, for example, the expression would be 2+(2^3) = 2+8 = 10.
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Solve for X, Leave in simplest radical form.
Answer:
x = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 8[tex]\sqrt{3}[/tex]
Attempts to find the inverse by cross-multiplying and an attempt to collect all the x-terms (or swapped y-terms) onto one sideM1:A fully correct method to find the inverse a level edexcel maths
To find the inverse of a fraction using cross multiplication, you first need to understand what the inverse of a fraction is. The inverse of a fraction is another fraction that, when multiplied by the original fraction, equals 1.
For example, the inverse of 3/4 is 4/3, because 3/4 x 4/3 = 1.
To find the inverse of a fraction using cross multiplication, you will need to use the property that if a/b = c/d, then a x d = b x c. To find the inverse of a fraction, you simply swap the numerator and denominator and multiply them together.
For example, to find the inverse of 3/4, you would swap the numerator and denominator to get 4/3, and then multiply them together to get 1.
So the steps would be:
Write the fraction you want to find the inverse of (let's call it "fraction A")Swap the numerator and denominator of "fraction A"Multiply the numerator and denominator of the new fraction you get in step 2 togetherThe result of this multiplication will be 1, hence the new fraction is the inverse of the original one.It is important to note that if the original fraction is a whole number, it's inverse will be 1 over the whole number.
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Complete question:
Attempt to find the inverse of a fraction using cross - multiplying . please describe the method of finding the inverse.
What angle is angle x? It needs the rules of parallel lines to solve
Answer:
Step-by-step explanation:
all internal angles in a triangle add to 180 degrees.
77+36=113
180-113=67
we know that the final angle in the triangle is 67 degrees
the left parallel line makes another triangle in the bottom left. we know that one angle is 41 and we just calculated that the other is 67.
41+67=108
180-108=72
so now we know that the small triangle in the bottom left has angles of 41,67 and 72.
all straight lines are 180 degrees, and we just figures out that the left side of the left parallel line is 72 degrees. therefore the other side is 108 degrees.
since they are parallel lines, the left angle of both of them on the bottom line is 72, while the right angle is 108.
this means that x=108 degrees
i hope this is right and it helps if it is correct. really sorry if it is wrong. have a good day :)
