Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?
Are there any other numbers to this question? I will be glad to help.
Find f'(x) for the given function.
f(x) = 5/3-x
Answer:
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{5}{3-x}[/tex]
Derivative of a quotient:
Suppose we have a quotient:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this question:
Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]
Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]
So
[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Can I get some help on these two
9514 1404 393
Answer:
cone: 138.16 in²
pyramid: 352 m²
Step-by-step explanation:
Use the appropriate formula from your list of area and volume formulas.
Area of a Cone
A = πr(r +h) . . . . . where r is the radius and h is the slant height
The radius is half the diameter, so is 4 inches.
A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²
__
Lateral Area of a Square Pyramid
A = 2sh . . . . . where s is the side length of the base and h is the slant height
A = 2(8 m)(22 m) = 352 m²
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in2 B) 370.62 in2 C) 395.84 in2 D) 408.92 in2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
what ia a right triangle?
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
[tex]\hat{y}=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
[tex]m\approx 2.55,b\approx -6.435[/tex]
Substitute these values in (i).
[tex]\hat{y}=(2.55)x+(-6.435)[/tex]
[tex]\hat{y}=2.55x-6.435[/tex]
Therefore, the correct option is A.
The graph of regression line is attached below.
The equation of regression line is [tex]y=2.55x-6.435[/tex]
Equation of regression line:A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.
First we have to enter the given table in graphing calculator,
After entering the data given into table,
We get, m= 2.55 and b= -6.435
So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]
Learn more about the regression line here;
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find each measurement indicated. Round your answers to the nearest tenth. Please SHOW WORK!!
9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
Find the area of the trapezoid.
Recall : (b + b) h
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
What is the constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:
Are (3, 1) (4, 1) and (5, 1) all equivalent ratios
A cube-shaped box can be wrapped completely in gift wrap that measures 384 square inches. What is the volume of the box?
Answer:
7529.536
Step-by-step explanation:
√384=19.6
19.6, is therefore the length of one side
Volume of cube is length³
19.6³=7529.536
Well it's just a try for me
The volume of the box when there is the cube shaped box wrapped and it should measured 384 square inches so it is 7529.536.
Calculation of the volume of the box;Since
A cube-shaped box can be wrapped completely in gift wrap that measures 384 square inches
So here the side should be like
[tex]= \sqrt{384}[/tex]
= 19.6
Now the volume of the box should be
= [tex]19.6^3[/tex]
= 7529.536
hence, The volume of the box should be considered as the 7529.536.
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A researcher is trying to show evidence for extra-sensory perception (ESP). She performs a test in which the subject is asked 10 yes or no question whose answer depends on information which the subject has not observed. Suppose that for each test, in the absence of ESP, the subject gets each question correct with 50% probability a) In the absence of ESP, what is the probability that a given test subject will answer at least 8 out of 10 questions correctly
Answer:
The answer is "0.0547".
Step-by-step explanation:
[tex]P(Correct) = 0.50\\\\n = 10\\\\x = 8[/tex]
Using the binomial distribution:
[tex]\to P(x,n) = n_{C}_x \times p^x \times (1-p)^{(n-1)}\\\\\to P(x \geq 8) = 1 - P( \leq 7)[/tex]
Calculating the excel formula:
[tex]=BINOM.DIST(7,10,0.50,TRUE)[/tex]
[tex]\to P(x \geq 8) = 1 - 0.9453\\\\ \to P(x \geq 8) = 0.0547[/tex]
Mark has, in his kitchen, the ingredients needed to prepare 78 different recipes with two ingredients
each. Of those 78 different recipes, there are no two recipes that share the exact same two ingredients.
How many ingredients does he have?
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
Which expression is equivalent to 1 2 ( 4 x + 8 ) ?
Answer:
48x + 96
Step-by-step explanation:
Given expression: 12(4x + 8)
Using the Distributive Property, we can simplify the given expression.
Distributive Property: [tex]a(b + c) = ab + ac[/tex]
Simplify:
[tex]\implies 12(4x+8)\\\\\implies 12(4x) + 12(8)\\\\\implies 48x + 96[/tex]
The expression that is equivalent to 12(4x + 8) is [tex]48x + 96[/tex].
If a student were going to write about their favorite food, they would want to include sensory language that focuses on. help please
Answer:
Here are the answers
Step-by-step explanation:
1. taste and smell
2. they allow the reader to feel as if he or she is in the story
3. touch
4. to make the writing more interesting and vivid, to provide greater detail to a narrative
Language Arts 6 B Unit 7 Lesson 13
Students would want to include sensory language which describes in the solution part that focuses on writing about their favorite food.
What is sensory language?Sensory Language is a word or words used to evoke mental imagery and help the reader visualize the tale or poetry. Imagery is a literary method that appeals to the reader's senses, whereas Sensory Language is a writing style and how writers utilize words to generate images for the readers.
When writing about their favorite food, a student might want to include sensory language that focuses on how the food looks, smells, tastes, feels, and sounds. This can help to paint a vivid picture for the reader and make the experience of reading about the food more immersive.
For example, if the student's favorite food is pizza, they might describe the golden, crispy crust; the savory, spicy tomato sauce; the gooey, melted cheese; the spicy sausage and bell peppers; and the satisfying crunch that it makes when they take a bite. They might also describe the way the warm, comforting aroma of the pizza fills the room as it cooks, or the way the different textures and flavors come together in each bite to create a satisfying and delicious meal. By using descriptive language that focuses on the senses, the student can help the reader to better understand and share in their love of the food.
Learn more about sensory language here:
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#SPJ2
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.
If the opposite of g(x) is –g(x),
then –g(x) =
Answer:
g(x) not negitive
Step-by-step explanation:
Cindy owns a plot of land measuring 630 yards wide by 987 yards long what is the area of the land in square yards, square feet, acres and square miles
Answer:
621,810 square yards
1,865,430 square feet
128.47 acres
353.30 square miles
Step-by-step explanation:
Since Cindy owns a plot of land measuring 630 yards wide by 987 yards long, to determine what is the area of the land in square yards, square feet, acres and square miles, the following calculations must be performed:
1 yard = 3 feet
1 square yard = 0.000206612 acres
1 yard = 0.000568182 miles
Square yards: 630 x 987 = 621,810 square yards
Square feet: 621,810 x 3 = 1,865,430 square feet
Acres: 621,810 x 0.000206612 = 128.47 acres
Square miles: 621.810 x 0.000568182 = 353.30 square miles
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
1. Simplify 3 + 5[5 + (7 - 3) - 32]
Answer:
48
step by step explanation:3+5(5+(7-3)-32)
8(12-2)-32
96-16-32
80-32
48
True or false the absolute value of -7 is greater than the absolute value of -3
ture or false?
Answer:
False
Step-by-step explanation:
Since its a bigger number in the negative, it means it further from zero which makes it false
simplify fully (9(x+7))÷(3(x-1))
Answer:
3x + 60
Step-by-step explanation:
9(x + 7) ÷ 3(x - 1) =
9x + 63 ÷ 3x - 3 =
9x ÷ 3x + 63 - 3 =
3x + 60
Note: For the third equation which is 9x ÷ 3x and etc, you have to put alphabets and numbers at one side seperately to be able to simplify easily.
I need help on this
Answer:
YZ<XZ<XY
Step-by-step explanation:
The smallest side would be opposite the smallest angle. The largest side would be opposite the largest angle.
YZ<XZ<XY
C G
Write a quadratic function f whose zeros are -9 and 2
I
10(2x - 4) + 5 = 2x - 8
Step-by-step explanation:
10(2−4)+5=2−8
10(2x-4)+5=2x-810(2x−4)+5=2x−8
Solve
1
Distribute
10(2−4)+5=2−8
20−40+5=2−8
2
Add the numbers
3
Add
35
3535
to both sides of the equation
4
Simplify
5
Subtract
2
2x2x
from both sides of the equation
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
Measure of the missing angle?
Answer:
x=31°
Step-by-step explanation:
2x-7+x+4 = 3x-3
90+3 = 3x
93 = 3x
x = 93/3
x = 31°