To simplify 27/36, divide both the numerator and the denominator by 9.
\(\frac{\frac{27}{9}}{\frac{36}{9}}=\frac{3}{4}\)Answer: 3/4.
what is the measure of ABD?
Answer:
39
Step-by-step explanation:
B is a right angle, so it is 90°
90 - 51 = 39
Answer:
\(let \: that \: angle \: be \: x \\ x + 51 \degree = 90 \degree \\ x = 90 \degree - 51 \degree \\ x = 39 \degree\)
Bessie wants to rent a car for 6 days, and she's interested in the collision
damage waiver but not the loss damage waiver. If the daily rate is $62 and
CDW is $55, what is her total rental cost?
O A. $702
O B. $372
C. $392
O D. $427
SUBMIT
It’s D. $427
I gotchu my guy
0.5 (x4 - 3) + 12
WILL MARK BRAINLEST PLEASEEE HURRYYYYY!!!!!!!!
0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants.
Use the graph of the exponential function to find k, rounded to the nearest hundredth.
Responses
A
1.61
B
0.32
C
1.00
D
0.83
The value of k is 0.32 .
What is an exponential function?
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent.
An exponential function is a function that usually takes the form f(x) = bˣ.
The exponential curve depends on the exponential function and it depends on the value of the x.
where;
b = base
ˣ = power
The general exponential function that models the data given is:
\(y = ce^{kt}\)
According to the (5,5c)
\(ce^{5k} = 5c\\\\e^{5k} = 5\\\\5k = ln5\\\\k = \frac{ln5}{5} \\\\k = 0.32\)
Hence , the value of k is 0.32 .
Learn more about an exponential function here:
brainly.com/question/12940982
#SPJ1
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
determine the number of zeros of the polynomial function calculator
f(x)=x^3-x^6
Answer:
your zeros are
x=0
x=1
Step-by-step explanation:
A researcher is investigating the number of hours a given individual spends online on a given day during the current 2020 pandemic in the United States. She randomly selects 30 individuals and collects the following responses:
15 12 6.2 7 5.5 2 4 5 10 11 7 6 4 7 0
1 5 3.2 4 10 6 2 10 1.5 5.1 6.4 8 14 3 2
Required:
What calculation is preferred for the central tendency and spread if the distribution of values is skewed?
Answer:
Median
Step-by-step explanation:
Usually, in statistics when we have a skewed distribution, to calculate the central tendency and spread we usually calculate the median.
Thus, the calculations preferred in this case is median.
Consider all of the possible relations between and y such that y varies at a constant rate of change of 7 with respect to 2: Which of the following must be true in ALL of those possible constant rate of change relations between these two variables? Hint. Think about the graphs of several relations that all have a constant rate of change of 7 Which of the following conditions must be true for ALL such graphs that you can draw? Changes in sare 7 times as large as changes in y Changes in yare equal to changes in The value of yis 7 times as large as changes in Changes in yare 7 times as large as changes in , The value of yis 7 times as large as z
In all of the possible relations between x and y with a constant rate of change of 7, the condition "changes in x are 7 times as large as changes in y" must be true. The other conditions listed in the question do not have to be true in all of these relations.
All of the possible relations between x and y that have a constant rate of change of 7 must satisfy the condition that changes in x are 7 times as large as changes in y.
This can be understood by considering that a constant rate of change means that the ratio of the change in y to the change in x remains constant. If the rate of change is 7, then a change in x must result in a change in y that is 7 times as large.
To know more about rate of change:
https://brainly.com/question/29518179
#SPJ4
Represent the equation: 2x + 3 = 11
Answer: x=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2x+3=11
so take 3 and subtract it from 11
you'll get 8
then take 2x and divide it by 8
= 4
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
Read more about tangent lines at
https://brainly.com/question/21595470
#SPJ1
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Charles decided that his old car could not make a 1200 mile trip; it might break down. Rather than take a chance on a big repair bill, and breaking down on the road, he decided to rent a car. The rental is $99 for a special three day weekend rate, with unlimited miles. If the rental car gets 30 miles per gallon and Charles has to pay $3.85 per gallon for gas, what is the total cost of gasoline and rental for the trip
Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total cost is composed by:
The rental fee of $99.The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.Hence, the total cost is given by:
C = $3.85 x 40 + $99 = $253.
More can be learned about proportions at https://brainly.com/question/24372153
Answer:
C = $3.85 x 40 + $99 = $253.
Step-by-step explanation:
I took the test
Help with this, thank you
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
Read more on perpendicular line here: brainly.com/question/27257668
#SPJ1
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Can someone please help? :)
Solution,
Diameter (d)=24 cm
Radius (r)=24/2 =12 cm
Circumference of circle= 2 pi r
=2*3.14*12
= 75.36 cm
Hope it helps
Good luck on your assignment
Answer:
\(c = 75.36cm\)
Step-by-step explanation:
\(d = 2r \\ 24 = 2r \\ \frac{24}{2} = \frac{2r}{2} \\ r = 12cm\)
\(circumference \\ = 2\pi \: r \\ = 2 \times 3.14 \times 12 \\ = 75.36cm\)
hope this helps
brainliest appreciated
good luck! have a nice day!
find the steps to find the inverse
The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)
what are inverse functions?An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
How to find the inverse functionThe given function is of the form
f(x) = x^(7/9), this is equivalent to ⁹√x⁷
say f(x) = y, then
f(x) = y = x^(7/9)
y = x^(7/9)
solving for the inverse, of y = x^(7/9)
y = x^(7/9)
y^(9/7) = x
interchanging the letters
y = x^(9/7)
hence the inverse function is solved to be f⁻¹(x) = x^(9/7)
Learn more about inverse function :
https://brainly.com/question/11735394
#SPJ1
A cone has a volume of 2560 Pi cm cubed and a height of 30cm. Find the radius
TRY IT
Using Grouping Symbols (A)
What mistake did Parker make
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounce. We are interested in testing to determine whether the variance of the population is significantly more than 0.003. The null hypothesis is
:__________
Answer:
Should not be rejected.
Step-by-step explanation:
Convert 18 cups into quarts.
Answer:
4.5 quarts, because one cup is 0.25 quarts
Step-by-step explanation:
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
Learn more about population:https://brainly.com/question/30324262
#SPJ1
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
More can be learned about piecewise functions at https://brainly.com/question/30348444
#SPJ1
Elizabeth drew a right triangle and labeled the sides as follows: leg lengths = 5 inches and 8 inches, hypotenuse = 14 inches. Can the side lengths form a right triangle? Explain your reasoning. I need a good explaination
X_X
The side length of the triangle Elizabeth drew cannot form a right triangle.
How to find the sides of a right triangle?A right triangle is a triangle that has one of its angle as 90 degrees.
The sides of a right triangles are hypotenuse side, adjacent side and the opposite side. This is base on the angle position.
Right triangle obeys Pythagoras's theorem.
a² + b² = c²
where
a and b are the legs of the right trianglec is the hypotenuse side of the right triangle.Therefore, let's test if the labelled side of the triangle Elizabeth drew is a right triangle. We will use Pythagoras theorem to confirm it
5² + 8² = 14²
25 + 64 = 196
Therefore,
89 ≠ 196
Therefore, the side length cannot form a right triangle
learn more on right triangle here: https://brainly.com/question/4106663
#SPJ1
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
Answer:
0.411^5 times 0.599
Step-by-step explanation:
0.599 chance of landing on heads.
0.411 chance of not landing on heads.
0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).
Harvey collected h apples. feinstein collected 3 less than twice the number of apples that harvey collected. write an expression to show how many apples that harvey collected
Answer:
h*2-3=f
f*2+3=h
Step-by-step explanation:
brainliest if right thx:)
Answer:
Harvey collected "h" apples.Feinstein collected 3 less than twice the number of apples that harvey collected i.e., "(2h-3)" apples.If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
Read more about inverse function at
https://brainly.com/question/3831584
#SPJ1
Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
∠X = 89°, ∠Y = 90°, ∠Z = ?
∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°
→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°
→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°
→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°
angle Y and W are supplementary angles
so
→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°
angle X and Z are supplementary angles
so
→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°
Therefore, the answer is
∠Z=40°
What is the multiplicative rate of change for the exponential function f(x). =(5/2)-x
The multiplicative rate of change for the function is approximately.
To find the multiplicative rate of change for the exponential function f(x) = , we need to calculate the derivative of the function. However, it's important to note that the function you provided is not an exponential function. An exponential function has a base raised to a variable exponent.
The given functioncan be rewritten as. Now, we can proceed to find the multiplicative rate of change by taking the derivative of f(x) with respect to x.
Using the chain rule, the derivative of is:
Here, ln(2/5) is a constant representing the natural logarithm of 2/5. The multiplicative rate of change is given by the derivative, which is
The value of ln(2/5) is approximately -0.916.
It's important to note that the multiplicative rate of change is not constant for this function. It depends on the value of x and decreases exponentially as x increases.
for more questions on multiplicative rate
https://brainly.com/question/30985885
#SPJ8
Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, how many pens does Sanjay have?
Answer:Sanjay has 8
Step-by-step explanation: Because 8x4 equals 32 so thats how much tanya has a 32+8 equals 40. This is what I did I knew 10x4 is 40 so that couldn't be it so then I tried 8 because nine x four is 36 which would be to high so I tried 8 and it was perfect hope this helps.
If Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, then Sanjay have 8 pens.
What is Equation?Two or more expressions with an equal signs is called as Equation.
Given that Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, We need to find how many pens sanjay has.
Let sanjay has x number of pens.
Tanya has four times as many pens as Sanjay
So 4 times means four multiple of sanjay pens.
Tanya has four times as many pens as Sanjay can be write as 4x.
Combined of tanya and sanjay has 40 pens.
Combined means adding.
x+4x=40
Add the like terms
5x=40
Divide both sides by 5.
x=8
So Sanjay has eight pens and Tanya has 4(8)=32 pens.
Hence Sanjay have eight pens.
To learn more on Equations click:
https://brainly.com/question/10413253
#SPJ2
Which represents the inverse of the function f(x) = 4x?
O h(x) = X + 4
• h(x) =X- 4
O h(x) = =x
O h(x) = ÷x
PLEASEE HELP
Answer:
f^(-1) = x/4
Step-by-step explanation:
1. Starting with f(x) = 4x, replace 'f(x)' with y: y = 4x
2. Interchange x and y: x = 4y
3. Solve for y: y = x/4
4. Replace this y with 'f^(-1) = ": f^(-1) = x/4