Answer:
1496 cubic inches
Step-by-step explanation:
10. (10.04 MC)
What are the period and phase shift for f(x) = -4 tan(x − n)? (1 point)
T
Period: n; phase shift: x =
2
Period: n; phase shift: x = n
TT
Period: 2n; phase shift: x =
2
Period: 2n; phase shift: x = 0
Answer:
Period: [tex]\pi[/tex]
Phase shift: n
Step-by-step explanation:
Tangent function:
Has the following format:
[tex]f(x) = \tan{ax - n}[/tex]
In which the period is [tex]\frac{\pi}{x}[/tex] and the phase shift is n.
In this question:
[tex]f(x) = -4\tan{(x-n)}[/tex]
[tex]a = 1[/tex], and thus, the period is [tex]\pi[/tex], with a phase shift of n.
4. Which statement is true about the values of two expressions below?
Expression A: 3x(8+4)
Expression B. 8+4
A. The value of expression B is 3 times the value of expression A.
B. The value of expression A is 3 times the value of expression B.
C. The value of expression A 3 times more the value of expression B.
D. The value of expression B is 3 times more than the value of expression A.
Answer:
Both B and C should be correct
Step-by-step explanation:
I'm assuming the x in Expression A is a multiplication symbol. If it is not, please tell me and I will change my answer.
Expression B has the value of 8+4 or 12.
Expression A is 3 times (8+4). You could also say that Expression A is 3 times Expression B.
Since both answer B and C say this, they should both be correct.
which of the following is most likely the next step in the series?
given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points
Answer:
1.
[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]
2.
[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]
6/24=2/8 is it correct
Answer:
this question Simple form is 1/4
Step-by-step explanation:
yes
6/24= 1/4
2/8= 1/4
so 6/24=2/8
you sight a rock climber on a cliff at a 32° angle of elevation. your eye level is 5.5 feet above the ground and you are 1000 feet from the base of the cliff. what is the approximate height of the rock climber from the ground?
Answer:
630 feets
Step-by-step explanation:
From the triangle attached :
Using trigonometry, the height h, which is the height of climber to your eye level :
Tan θ = opposite / Adjacent
Tan 32 = h / 1000
h = tan 32 * 1000
h = 0.6248693 * 1000
h = 624.86935
Height from the ground :
624.86935 + 5.5
= 630.369 feets
= 630 feet
graph this equation using the intercepts: 6x-4y-12=0. state the intercepts in ordered pairs
Answer:
Step-by-step explanation:
y=[tex]\frac{3}{2} x\\[/tex]-3
The times taken by 18 people to complete a puzzle are shown
No they aren't
___________
What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answer:
5 13 and 10
blue cheese
Someone pls help…. We need to find m angle f
Answer:
m<F = 95°
Step-by-step explanation:
We'll begin by calculating the value of x. This can be obtained as follow:
m<C = 50
m<A = (10x – 5)
m<B = m<G = (2x + 15)
m<C + m<A + m<B = 180 (Sum of angles in a triangle)
50 + (10x – 5) + (2x + 15) = 180
50 + 10x – 5 + 2x + 15 = 180
50 – 5 + 15 + 10x + 2x = 180
60 + 12x = 180
Collect like terms
12x = 180 – 60
12x = 120
Divide both side by 12
x = 120 / 12
x = 10
Finally, we shall determine the value of m<F. This can be obtained as follow:
m<F = m<A
But
m<A = 10x – 5
x = 10
Therefore,
m<F = 10x – 5
m<F = 10(10) – 5
m<F = 100 – 5
m<F = 95°
Math problem please help thank youuuuuu
Answer:
the answer is ( -8,-8 )
Step-by-step explanation:
the first point is in -8 and the second point is also in -8 , therefore the answer is ( -8,-8 )
What I Can Do
Directions: How can we help minimize the amount of electricity and water
to be consumed in a month? List down at least 3 ways each. Write your
answers on a sheet of paper.
ಠ_ಠ (눈‸눈) (⌐■-■)
(ب_ب) ¯\_ಠ_ಠ_/¯
Which inequality has the solution shown below?
-18 -17 -16 -15 -14 -13 -12
Answer:
0.2x+5>2
Step-by-step explanation:
0.2 is the same as 2/10;
(2/10)x>2-5
(2/10)x>-3
2x>-30
X>-15( since -15 is lesser than -14,-13,-12 and so on. the sign should be >
I dont even know where to start or what to ask i would like to understand how to solve this so that i can explain to my kid.
I went with a few of my memories from Algebra 1 but I dont think im correct and I am stuck on
9514 1404 393
Answer:
A. perhaps 0 to 7 days
B. the radius in mm at the start of the study
C. 0.114 mm/day
Step-by-step explanation:
A. It is always problematic to determine the reasonable domain for an exponential growth function. You can always limit the domain to the length of time for which the function is said to model the growth. It is difficult to say how much beyond that time period the exponential growth can be extrapolated, as most systems run into limits to growth.
Here, the base of the exponential term is 1.01 = 1 + 1%. This tells you the growth rate is 1% per day. The study concludes when the radius was 11.79/11.00 = 1.071818... ≈ 1 + 7.2% times the original size. That is, the study lasted approximately 7 days.
The question in part C has you look at the size on day 7, which is apparently the last day of the study. It is not clear that the model is at all useful beyond the end of the period it is intended to describe.
A reasonable domain for the growth function is 0 to 7 days.
__
B. The function gives the radius of the algae after d days. When d=0 (the y-intercept), the function gives the radius of the algae after 0 days. That is the meaning of the y-intercept is the initial radius of the algae (at the beginning of the study).
The y-intercept is always the "initial value", the value when the independent variable is zero. You have to look at the function definition to see what it is the initial value of.
__
C. The average rate of change is the difference in function values divided by the difference in time between them. Here, the attached table tells us that is ...
(f(7) -f(2))/(7 -2) = (11.793 -11.221)/5 = 0.572/5 = 0.1144 . . . mm/day
The units of the "average rate of change" are the units of the slope of the curve on the graph: the y-axis units divided by the x-axis units. Here, that is mm/day.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP I WILL GIVE BRAINLIEST
We want to construct a box with a square base and we currently only have 10m2 of material to use in construction of the box. Assuming that all material is used in the construction process, determine the maximum volume that the box can have.
Answer:
The maximum volume of the box is:
[tex]V =\frac{5}{3}\sqrt{\frac{5}{3}}[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 10m^2[/tex]
Required
The maximum volume of the box
Let
[tex]a \to base\ dimension[/tex]
[tex]b \to height[/tex]
The surface area of the box is:
[tex]Surface\ Area = 2(a*a + a*b + a*b)[/tex]
[tex]Surface\ Area = 2(a^2 + ab + ab)[/tex]
[tex]Surface\ Area = 2(a^2 + 2ab)[/tex]
So, we have:
[tex]2(a^2 + 2ab) = 10[/tex]
Divide both sides by 2
[tex]a^2 + 2ab = 5[/tex]
Make b the subject
[tex]2ab = 5 -a^2[/tex]
[tex]b = \frac{5 -a^2}{2a}[/tex]
The volume of the box is:
[tex]V = a*a*b[/tex]
[tex]V = a^2b[/tex]
Substitute: [tex]b = \frac{5 -a^2}{2a}[/tex]
[tex]V = a^2*\frac{5 - a^2}{2a}[/tex]
[tex]V = a*\frac{5 - a^2}{2}[/tex]
[tex]V = \frac{5a - a^3}{2}[/tex]
Spit
[tex]V = \frac{5a}{2} - \frac{a^3}{2}[/tex]
Differentiate V with respect to a
[tex]V' = \frac{5}{2} -3 * \frac{a^2}{2}[/tex]
[tex]V' = \frac{5}{2} -\frac{3a^2}{2}[/tex]
Set [tex]V' =0[/tex] to calculate a
[tex]0 = \frac{5}{2} -\frac{3a^2}{2}[/tex]
Collect like terms
[tex]\frac{3a^2}{2} = \frac{5}{2}[/tex]
Multiply both sides by 2
[tex]3a^2= 5[/tex]
Solve for a
[tex]a^2= \frac{5}{3}[/tex]
[tex]a= \sqrt{\frac{5}{3}}[/tex]
Recall that:
[tex]b = \frac{5 -a^2}{2a}[/tex]
[tex]b = \frac{5 -(\sqrt{\frac{5}{3}})^2}{2*\sqrt{\frac{5}{3}}}[/tex]
[tex]b = \frac{5 -\frac{5}{3}}{2*\sqrt{\frac{5}{3}}}[/tex]
[tex]b = \frac{\frac{15 - 5}{3}}{2*\sqrt{\frac{5}{3}}}[/tex]
[tex]b = \frac{\frac{10}{3}}{2*\sqrt{\frac{5}{3}}}[/tex]
[tex]b = \frac{\frac{5}{3}}{\sqrt{\frac{5}{3}}}[/tex]
Apply law of indices
[tex]b = (\frac{5}{3})^{1 - \frac{1}{2}}[/tex]
[tex]b = (\frac{5}{3})^{\frac{1}{2}}[/tex]
[tex]b = \sqrt{\frac{5}{3}}[/tex]
So:
[tex]V = a^2b[/tex]
[tex]V =\sqrt{(\frac{5}{3})^2} * \sqrt{\frac{5}{3}}[/tex]
[tex]V =\frac{5}{3} * \sqrt{\frac{5}{3}}[/tex]
[tex]V =\frac{5}{3}\sqrt{\frac{5}{3}}[/tex]
The maximum volume of the box which has a 10 m² surface area is given below.
[tex]\rm V_{max} = \dfrac{5}{3} *\sqrt{\dfrac{5}{2}}[/tex]
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
We want to construct a box with a square base and we currently only have 10 m² of material to use in the construction of the box.
The surface area = 10 m²
Let a be the base length and b be the height of the box.
Surface area = 2(a² + 2ab)
2(a² + 2ab) = 10
a² + 2ab = 5
Then the value of b will be
[tex]\rm b = \dfrac{5-a^2}{2a}[/tex]
The volume of the box is given as
V = a²b
Then we have
[tex]\rm V = \dfrac{5-a^2 }{2a}* a^2\\\\V = \dfrac{5a - a^3}{2}\\\\V = \dfrac{5a}{2} - \dfrac{a^3}{2}[/tex]
Differentiate the equation with respect to a, and put it equal to zero for the volume to be maximum.
[tex]\begin{aligned} \dfrac{dV}{da} &= \dfrac{d}{da} ( \dfrac{5a}{2} - \dfrac{a^3}{2} ) \\\\\dfrac{dV}{da} &= 0 \\\\\dfrac{5}{2} - \dfrac{3a^2 }{2} &= 0\\\\a &= \sqrt{\dfrac{5}{2}} \end{aligned}[/tex]
Then the value of b will be
[tex]b = \dfrac{5-\sqrt{\dfrac{5}{2}} }{2*\sqrt{\dfrac{5}{2}} }\\\\\\b = \sqrt{\dfrac{5}{2}}[/tex]
Then the volume will be
[tex]\rm V = (\sqrt{\dfrac{5}{2}} )^2*\sqrt{\dfrac{5}{2}} \\\\V = \dfrac{5}{3} *\sqrt{\dfrac{5}{2}}[/tex]
More about the differentiation link is given below.
https://brainly.com/question/24062595
Mean Median Mode Range
I have this numbers : 191 200 379 379 379 459 618 what is my Mean Median Mode Range
Answer:
Mean 372.14285714286
Median 379
Mode 379
Range 427
Step-by-step explanation:
I hope this helps uwu. Goodluck with your work.
A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $2,033.00, and the tax rate in the area is 7%, what was the pre-tax subtotal?
Answer:
i believe the pre-tax subtotal would be 1890.69
Step-by-step explanation:
the 2,033 represents 100%. to remove that 7% you would do
.93 • 2,033 which gives you 1890.69
Five ninths of what is equal to 30? 54 15 35 45
I need help ASAP pls! I hate geometry
i need help! plz (listing BRAINLIST and giving points) :D
Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70
Please help me please !!
baby im jealous....
finish it
15 34% is equal to which decimal
Answer:
0.44117647058824
15/34 as a decimal is 0.44117647058824.
Answer:
0,4411764706
Step-by-step explanation:
15/34=0,4411764706
HELP ASAP PLZ will give u brainliest if u answer it first find the length of df
Answer:
3.75
Step-by-step explanation:
DF = 6/24 × 15 = 3.75
________________
Alice has a total of 12 dimes and nickels.She h as 2 more nickels than dimes. Write an equation
Answer:
Step-by-step explanation: She has 2 more nickels then dimes not 2 times more therefore answers B and D are incorrect. C is incorrect because it has that there are 2 more dimes than nickels. A is correct because it says that there are c dimes, and then c +2 nickels.
3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK
Answer:
Equation: 4x + 30 + 2x + 6 = 180
Answer: x = 24
Step-by-step explanation:
The sum of the measures of supplementary angles is 180 deg.
Equation:
4x + 30 + 2x + 6 = 180
Solution:
4x + 30 + 2x + 6 = 180
Add like terms on the left side.
6x + 36 = 180
Subtract 36 from both sides.
6x = 144
x = 24
Answer:
X=24
Step-by-step explanation:
Supplementary angles = 180°
4x+30+2x+6=180
Combine like terms> 4x+2x=6x
Add: 30+6=36
6x+36=180.
Subtract 36 on both sides. > 36-36=0. 180-36=144.
Drop what you have left> 6x 144
Divide by 6. > 6/6= 1. 144/6=24.
X=24
Can y’all help me please?
Answer:
(A) [tex]5\frac{1}{4}*4\frac{1}{5}[/tex]
Step-by-step explanation:
The area of a parallelogram is the same as the area of a rectangle which is A=bh where b is the base and h is the height. Therefore, Erica can use the expression [tex]5\frac{1}{4}*4\frac{1}{5}[/tex] to find the area of the parallelogram.
There are 1,453 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
trust me its right