tan A = 3/4
tan B = 4/3
tan S = 12/5
tan Q = 5/12
Which expression is equivalent to look at the pic I GIVE BRAINLY AND EX POINTS
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1.) Solve \(\bold{(\frac{1}{\sqrt{y}})^{\frac{-1}{5}}}\):\(=\sqrt[10]{y}\)
- So this means from the choices, \(\sqrt[10]{y}=\sqrt[10]{y}\).
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f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14
Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?
Answer:
Measuring it with a ruler and jotting down the length.
Step-by-step explanation:
If you are copying a line segment, the best way to copy it perfectly is to take the measure of the original line segment and copy down the measurement and then construct the other line segment to the exact measure.
Answer:
Brianlliest!
Step-by-step explanation:
you must measure the current line segment and copy it with the same length and make a new one
The relationships tree diagram represents the between the sets and subsets of rational numbers.
Rational Numbers
Section B
{0, 1, 2, 3, ...)
Which group of numbers could be placed in Section B?
Option A the group of all fractions can be placed in section B.
What is a number system ?Number system is all the numbers that exists in our universe.From complex number to simple natural numbers.
According to the given question the relationships tree diagram represents the relationship between the sets and subsets of rational numbers.
We know rational numbers can be further subdivided into two categories and they are integers and fractions here set of integer are given therefore the other set would consist of fractions and from the given options wee can see than option A is a set of fractions.
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Subtracting 3 from the product of 4 and a number results in the number added to 24.
Answer:
let the number be x
then
4x-3= x+24
4x-x=24+3
3x=27
x=3
Step-by-step explanation:
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
help me i need help
what is 9/10-4/10
How many solutions does this system of equations have?
Exactly one
None
Infinitely many
Exactly two
Answer:
Infinitely many
Step-by-step explanation:
The second equation is basically multiplying the first equation by 2, so this means that they will have the same rate of change and initial value. Therefore, there are infinitely many solutions.
Which best describes Terri’s first error?
Answer:
A mistake, error is a action which is inaccurate or incorrect
20 points!3 PROBLEM: { The cozy cat shop has 3 calico cats for every grey cat. If they have 9 calico cats available, how many grey cats do they have? }
Write the quadratic function f(x) = x2 – 2x – 8 in factored form.
Question 14 options:
A)
f(x) =(x – 4)(x – 2)
B)
f(x) =(x + 4)(x + 2)
C)
f(x) =(x + 4)(x – 2)
D)
f(x) =(x – 4)(x + 2)
Answer:
f(x) = (x-4)(x+2)
Step-by-step explanation:
f(x) = x^2 – 2x – 8
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
f(x) = (x-4)(x+2)
\(\longrightarrow{\green{ D. \:f(x)\:=\:(x - 4)(x + 2) }}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\( \: f(x) = {x}^{2} - 2x - 8\)
\( \:f(x) = {x}^{2} - 4x + 2x - 8\)
Taking \(x\) as common from first two terms and 2 from last two terms, we have
\( \:f(x) = x \: (x - 4) + 2 \: (x - 4)\)
Taking the factor \((x-4)\) as common,
\( \:f(x) = (x - 4)(x + 2)\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
how do you fine out if y is a linear function of x on a graph
Answer: If a vertical line can be drawn to touch the graph of a function in more than one place, then is NOT a function of . If it is not possible to draw a vertical line to touch the graph of a function in more than one place, then y is a function of x.
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Solve the system by substitution.
y = -6x +8
7x + 2y = -14
Answer:
y=-28 and x=6
Step-by-step explanation:
y=-6x+8...... eqn(1)
7x+2y=-14.......eqn(2)
Two times equation (1)
2y=-12x+16..... eqn(3)
2y=-14-7x........ eqn (2)
eqn(3) - eqn(2)
0=-5x+30
5x=30
x=6
from eqn (1) where x=6
y=-6(6)+8
y= -36+8
y=-28
Evaluate the determinant, in which the entries are functions. Determinants of this type occur when changes of variables are made in calculus. e^5x 3^2x 3e^6x 5e^3x
Answer: The determinant of the given matrix is -75e^24x.
Step-by-step explanation:
To evaluate the determinant of a matrix containing functions, we can use a method called Laplace Expansion. This method involves taking the determinant of the matrix by expanding it along its first row.
Using Laplace Expansion, the determinant of the given matrix can be calculated as follows:
|e^5x 3^2x 3e^6x 5e^3x| = e^5x(3^2x5e^3x - 3e^6x3^2x) = e^5x(45e^9x - 27e^12x) = e^5x(18e^12x) = 18e^17x = -75e^24x.
Therefore, the determinant of the given matrix is -75e^24x.
use the unit circle to find sin 240 and cos 240, without using a calculator. then use your calculator to check your answers. notice that your calculator expects you to put parentheses around the 240, which is because sin and cos are functions. except in cases where the parentheses are required for clarity, they are often left out.
Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.
The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.
For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.
we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.
The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.
We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
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A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $
Answer:
$54.51
Step-by-step explanation:
Anna is a microbiology student. She was doing research on optimum temperature for the survival of diffrent strains of bacteria. Studies showed that bacteria x needs an optimum temperature of -31°C while bacteria Y needs an optimum temperature of -56°C. What is the temperature diffrence?
The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.
To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.
Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y
Temperature difference = -31°C - (-56°C)
When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.
Temperature difference = -31°C + 56°C
To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.
Absolute value of -31°C = 31°C
Absolute value of +56°C = 56°C
Since 56°C > 31°C, the result will have a positive sign.
Temperature difference = 56°C - 31°C = 25°C
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Middle School had 480 students. At the end of the
year, it had 504 students. What is the percent of
change in the enrollment?
explain.
Answer:
there is a 5% increase
Step-by-step explanation:
say 480=100%
4.8=1%
divide 504 by 4.8 you get 105,
so 504=105%
this is 5 more than 100 therefore 5%
If g(x) = x^2 – 2x – 6 and h(x) = 2x^2 – 5x + 2 find (h – 9) (-2)
Answer: (h-g)(-2)=18
Step-by-step explanation:
(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.
Method 1
h(-2)=2(-2)²-5(-2)+2 [exponent]
h(-2)=2(4)-5(-2)+2 [multiply]
h(-2)=8+10+2 [add]
h(-2)=20
g(-2)=(-2)²-2(-2)-6 [exponent]
g(-2)=4-2(-2)-6 [multiply]
g(-2)=4+4-6 [add then subtract]
g(-2)=2
(h-g)(-2)=20-2 [subtract h(-2) and g(-2)]
(h-g)(-2)=18
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Method 2
(h-g)(x)=2x²-5x+2-(x²-2x-6) [distribute -1]
(h-g)(x)=2x²-5x+2-x²+2x+6 [combine like terms]
(h-g)(x)=x²-3x+8
(h-g)(-2)=(-2)²-3(-2)+8 [plug in x=-2, exponent]
(h-g)(-2)=4-3(-2)+8 [multiply]
(h-g)(-2)=4+6+8 [add]
(h-g)(-2)=18
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Now, we know that (h-g)(-2)=18. We confirmed this with both methods.
A person has a rectangular board 10 inches by 12 inches around which she wants to put a uniform border of shells. If she has enough shells for a border whose area is 320 square inches, determine the width of the border.
Susan's friends Vicki, Luis, Maddy, Todd, Ron, and Geri have volunteered to help with the preparations for a party. How many ways can Susan assign someone to buy beverages
someone to arrange for food, and someone to send the invitations? Assume that no person does two jobs.
How many ways can Susan assign her volunteers?
ways
Answer:
120 ways
Step-by-step explanation:
She has 6 friends and needs 3 people to do jobs. This means that for the first job, she has 6 options for someone to buy beverages, but for the second job, she will now only have 5 options, as somebody is already buying beverages. After she assigns someone to the second job, she now has 4 people to pick from for the third job, as 2 are already doing a job. This means she has 6*5*4 ways to assign her volunteers, or 120 ways.
Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:
What set of transformations is performed on ABCD to form A′B′C′D′?
A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygonABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygonA prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5.
A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin
A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin
Answer: A is at (2,-2). after 90 degree counter clockwise, it is at (2,2). Then, a transformation one unit to the left gets it to A', (1,2)
Step-by-step explanation:
find the area of the kite
Answer:
396
Step-by-step explanation:
given a circle with center (-5,3) and radius sqrt 17 what is the slope of the tangent line to the circle that passes through the point (-1,2)
The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6
To find the slope of the tangent line to a circle, we first need to find the equation of the circle.
Given the center and radius, the equation of a circle can be written as:
(x + 5)^2 + (y - 3)^2 = 17
Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.
We can use the slope-point form of the equation of a line:
y - 2 = m(x + 1)
where m is the slope of the line.
To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).
The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.
Taking the partial derivatives of x and y in the equation of the circle, we get:
2(x + 5)dx + 2(y - 3)dy = 0
Rearranging and solving for the slope:
dy/dx = -(x + 5)/(y - 3)
Evaluating the slope at the point (-1, 2), we get:
dy/dx = -(−1 + 5)/(2 − 3) = 4
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If the nominal interest rate is 9% and the real rate of interest is 2%, what is the expected rate of inflation? Be precise (4 decimal places). [Hint: (1 + krf) = (1 + k*)(1 + IRP)]
The expected rate of inflation is 0.068627 or 6.86%.
Real Rate of return:
The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.
The general formula of the inflation rate is:
\(IR=\frac{1+R_1}{1+R_2} -1\)
Given information is that
Nominal rate of return(R1)=9%
Real rate of return(R2)=2%
Now substitute these values in the above formula:
\(IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1\)
IR=1.068627-1
IR=0.068627 or 6.86%
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The measure of angle 1 is 27 degrees.
Complement:
Supplement:
Answer:
Complement: 63°
Supplement: 153°
Step-by-step explanation:
NOTE: Supplementary angles are two angles that have a sum of 180°. Complementary angles are two angles that have a sum of 90°.
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Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
The vertices of triangle ABC are A(-5, 1), B(-2.5, 7). and C(0, 1). Find the new coordinates of the vertices after the given translation
(x, y) - (x + 3, y - 1)
A)
A(-2,0), B(0.5, 6), C(3.0)
B)
A(-2,0), B(0.5, 6), C(0,3)
A(-8, 2), B(5,5,6), C(-3,2)
A(2.0),B(-0.5,6).-3,0)
9.65.69
کرد
Answer:
A).
Step-by-step explanation:
Add 3 to the x values and subtract 1 from the y's.
For example A ( -5, 1 ) ----> (-5+3, 1 -1 ) ---> (-2, 0).