Answer:
x = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then using the upper 45°
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 4[tex]\sqrt{2}[/tex]
Dean is the manager of a restaurant and is evaluating whether or not the restaurant has enough parking spaces. At ten different times during the day, he gathered information about the number of customers in the restaurant and the number of cars in the parking lot. He represented the data with the given scatter plot and drew the line of best fit.
Based on the line of best fit, approximately how many customers will be in the restaurant when there are cars parked in all 40 of the restaurant's parking spaces?
A.
115
B.
140
C.
145
D.
170
Answer:
d
Step-by-step explanation:
Please help me with this im pretty confused ?
Answer:
a=6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10^2
a^2 + 64= 100
a^2 +64-64 = 100-64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
Answer:
a = 6
The length of side a is 6.Step-by-step explanation:
According to the question,
Using Pythagorean theorem
( a )² + ( b )² = ( c )²
Where, a and b are the base and c is the length of hypotenuse.( a )² + ( 8 )² = ( 10 )²
evaluate the exponent
a ² + 64 = 100
subtract 64 from each side
a ² + 64 - 64 = 100 - 64
a ² = 36
Take the square root of each side
√a² = √36
a = 6
Answer it pls :)
Which values of m and b will create a system of equations with no solution? Select two options.
y = mx + b
y = -2x + 3/2
Answer:
first one because the second one is solvable through graphing
Step-by-step explanation: y = mx +b could be anything
Me need help with this
Answer:
The area of the shaded region is 240 ft.
Step-by-step explanation:
Area Formula: A = L * H
First, find the area of the WHOLE shape. (300 = 25 * 12)
Next, find the area of the WHITE section. (60 = 5 * 12)
Lastly, subtract the area of the entire shape to the area of the white section. (300 - 60 = 240)
Your final answer should be 240 ft. Hope this helps! :D
A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the algae, f(d), in mm, after d days: f(d)=5(1.02)^d
Part A- When the biologist concluded her study, the radius of the algae was approximately 6.34mm. What is a reasonable domain to plot the growth function
Part B- What does the y-intercept of the graph of the function f(d) represent?
Part C- what is the average rate of change of the the function f(d) from d=4 to d=11, and what does it represent?
Answer:
Part A)
A reasonable domain to plot the growth function is:
[tex]0\leq d \leq 12[/tex]
Part B)
The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.
Part C)
The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.
Step-by-step explanation:
The radius of the algae f(d) in millimeters after d days is given by the function:
[tex]f(d)=5(1.02)^d[/tex]
Part A)
We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:
[tex]6.34=5(1.02)^d[/tex]
Divide both sides by five:
[tex](1.02)^d=1.268[/tex]
Take the log of both sides with base 1.02:
[tex]\displaystyle d=\log_{1.02}1.268[/tex]
Using the Change of Base Property, evaluate for d:
[tex]\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12[/tex]
So, the biologist concluded her study after 12 days.
Therefore, a reasonable domain to plot the growth function is:
[tex]0\leq d\leq 12[/tex]
Part 2)
The y-intercept of the function is when d = 0. Find the y-intercept:
[tex]f(0)=5(1.02)^{(0)}=5(1)=5[/tex]
Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.
So, when the biologist started her study, the radius of the algae was five millimeters.
Part 3)
To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.
We want to find the average rate of change of f(d) from d = 4 to d = 11.
Find the endpoints:
[tex]f(4)=5.4121...\text{ and } f(11)=6.2168...[/tex]
And find the slope between them:
[tex]\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11[/tex]
Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.
Solve the equation on the
interval [0,2pi)
3 sin x = sin x + 1
Answer:
hi how are you
Step-by-step explanatio
https://socratic.org/questions/how-do-you-solve-sqrt3cosx-sinx-1-in-the-interval-0-360#333481
What is N + 9 = 27?
I am confused
Answer:
N = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
N + 9 = 27
Step 2: Solve for N
[Subtraction Property of Equality] Subtract 9 on both sides: N + 9 - 9 = 27 - 9[Subtraction] Simplify: N = 18What angle relationship best describes angles EFC and EFD?
Explanation:
A linear pair of angles is where they are both adjacent and supplementary.
Adjacent angles share a common line or ray. In this case, they share ray FE.
Supplementary angles add to 180. So they combine to a straight angle.
Answer:
Linear pair
Step-by-step explanation:
Their nonadjacent sides formed a line
please help me on this.
9514 1404 393
Answer:
growthdomain: all real numbersrange: y > -7y-intercept: (0, -6)asymptote: y = -7Step-by-step explanation:
The parent function f(x) = a^x has a domain of all real numbers, a range of y>0, a y-intercept of 1, and an asymptote of y=0. It is a growth function for a>1, a decay function for 0<a<1.
Here, you have a=4, and the value -7 has been added. That addition translates the graph downward 7 units, so you have ...
a growth functiondomain: all real numbersrange: y > -7y-intercept: -6asymptote: y = -7>>>BIG BRAINS ONLY
How many ways can a supermarket chain select 4 out of 12 possible sites for construction of new supermarkets?
Answer:
6
Step-by-step explanation:
Answer:
I am pretty sure it's 495
Step-by-step explanation:
The context of this problem makes me think that the order in which the sites are in does not matter
if that's the case we can solve this using combinations
the combinations formula is as follows:
ACB= [tex]\frac{A!}{(A-B)!*B!}[/tex]
so 12C4= [tex]\frac{12!}{(12-4)!*4!}=495[/tex]
Help Please!!!!!!!!!!
Step-by-step explanation:
Area = πr²
2) 11² x 3.14 = 379.94
3) 3² x 3.14 = 28.26
4) 5² x 3.14 = 78.5
5) 6.5² x 3.14 = 132.665
6) 7.2² x 3.14= 162.7776
Four lines are shown in the graph below.
Which line has the slope with greatest value?
so
Step-by-step explanation:
you divide 1 by 2 then time the denominator by 69
Answer:
So B has the greatest value of slope.
Step-by-step explanation:
A has a negative slope, so A is out.
B, C and D all have positive slopes.
B has a greater slope than C, so C is out.
B has a finite slope, and D has a "slope" of infinite, but much of the time it does not count, because we do not make calculations with infinite slopes, and infinity is not a number (value).
So B has the greatest value of slope.
Does the following graph represent a function, Yes or No
Answer:
no
Step-by-step explanation:
Use the vertical line test to determine if it is a function
Since a vertical line touches more than one point on the graph, it is not a function
help quickly, please!
Answer:
x^2+22x+121
Step-by-step explanation:
(x)^2+2*x*11+11^2
=x^22x+121
The burglar has been leaving behind the ladder he or she uses to climb into the houses' windows. With this evidence, you can find out from which store the burglar is purchasing the ladders. Store A only sells ladders that are between 25 feet and 30 feet tall. Store B only sells ladders that are between 20 feet and 28 feet tall.
Answer:
store B
Step-by-step explanation:
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 8 + 48? 4 (2 + 6) 4 (8 + 6) 8 (1 + 6) 8 (2 + 6)
Without solving. what value for n makes this equation true?
Answer:
[tex]52[/tex]
Step-by-step explanation:
[tex]n + 94 = 32 + 114[/tex]
[tex]n + 94 = 146[/tex]
[tex]n = 146 - 94[/tex]
[tex]n = 52[/tex]
Hope it is helpful...PLEASE HELP CIRCLE THEOREMS
Answer:
90degree because of O is center of circle and mAB come from radius
Step-by-step explanation:
its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..???
1) Fidel had 12 boxes of paper plates. Each box contains 36 paper plates. He used 173 paper plates for the birthday party of his son. How many paper plates were left?
1 box= 36 paper plates
12 boxes = 12× 36 paper plates
= 432 paper plates
He used 173 paper plates for the birthday party of his son
No. of paper plates were left = 432-173 = 259
please help i’m failing math right now!!! will mark brainlyist
Step-by-step explanation:
Write what tou know
volume of a cone
V = (πr2h)/3
d =2.2in
r = d /2
h = 1.8
evaluate that
to find ounces
amount of ounces = Volume of cone x 0.554
can someone pls pls help me?
Answer:
3mm²
Step-by-step explanation:
Use the triangle area formula 1/2×base×height
[tex] \frac{1}{2} \times 2 \times 3 \\ = 3[/tex]
(05.02 MC)
The figure below shows a line graph and two shaded triangles that are similar
4
-15-12-
30
9 12 15
Which staternent about the slope of the line is true?
Olt is throughout theane.
It is-3 throughout the line.
The slope from point o to point A is one-third times the slope of the line from point A to point B.
The slope from point o to point A is three times the slope of the line from point A to point B.
Answer:
The first option
Step-by-step explanation:
slope is -2/6
I.e. -1/3
Which equation is equivalent to 123x + 15 = 36?
O 3x + 15 = 3
O x + 15 = 9
O x + 15 = -6
O 3x + 15 = 24
Answer:
none if abive
Step-by-step explanation:
Please check your question .......
1.
Which inequality statement best represents the graph?
A. f(x) ≥ –x2 – x – 1
B. f(x) ≤ –x2 – x – 1
C. f(x) ≥ x2 – x – 1
D. f(x) ≤ x2 – x – 1
Answer:
f(x) ≤ x2 – x – 1
Step-by-step explanation:
Answer:
The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2.
Step-by-step explanation:
i don't have the step by step explanation but that answer is also right
the x intercepts are b and b
the graph has opposite x intercepts
the graph is symetrical over the y axis
the y intercept is at b²
Answer:
f(x) ≤ x2 – x – 1
What is the value of xin this triangle?
Enter your answer as a decimal. Round only your final answer to the
nearest hundredth.
32 58
Answer:
33.48
Step-by-step explanation:
Find the diagram attached
Opposite = 32
Hypotnuse = 58
Sin theta = opposite/hypotenuse
Sin theta = 32/58
Sin theta = 0.5517
theta = arcsin(0.5517)
theta = 33.48
Hence the value of x to the nearest tenth is 33.48
Find the next three terms of the sequence 80, –160, 320, –640, . . .
1,280, –2560, 5120
–880, 1040, –880
–640, 1280, –2560
–1280, 2560, –5120
Answer:
890
Step-by-step explanation:
i hope this helped
Answer:
1,280, –2560, 5120
Step-by-step explanation:
I got it right on grandpoint.
Question 7(Multiple Choice Worth 3 points)
(06.05 LC)
What is a reasonable estimate for the equation 8.1 ÷ 2 = ________?
3
4
5
6
Answer:
4
Step-by-step explanation:
8.0,8.1,8.2,8.3...........
8÷2=4
It's actually 4.1 or by rounding off its 4.
We can prove this because 8÷2=4, so, 8.1÷2=4.1
Or 4.
Hope it helps you... pls mark brainliest if it helps you
Jailah’s age is 5 years less 1/4 her grandfather's age. Jailah is 12 years old. how old is Jailah’s grandfather
Answer:
Solution given:
let age of Jailah be x and grandfather's age be y
according to the question
x=¼y-5.....(1)
x=12...........(2)
Now substituting value of x in equation 1
12 =¼y-5
12+5=¼y
17=¼y
doing crisscrossed multiplication
17*4=y
y=68
Jailah’s grandfather is 68 years old.
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3
O 3x-y-7=0
x - 3y + 7 = 0
Ox-3y - 7 = 0
O-X + 3y - 7 = 0
Answer:
x- 3y -7 =0
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope
y - -2 = 1/3 (x-1)
y+2 = 1/3 (x-1)
Multiply each side by 3 to get rid of the fraction
3y +6 = x-1
Subtract 3x from each side
6 = x-3y -1
Subtract 6 from each side
0=x -3y -7
x- 3y -7 =0
The general form is
Ax +by +C = 0 where A , B C are integers and A > 0
Answer:
x-3y-7=0
Step-by-step explanation:
[tex]y=\frac{1}{3} x+c\\-2=\frac{1}{3}\times 1+c\\c=-\frac{7}{3} \\y=\frac{1}{3} x-\frac{7}{3}\\\\3y=x-7, 0=x-3y-7[/tex]