Answer:
[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• let f(x) be m:
[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• make x the subject of the function:
[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]
• therefore:
[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]
The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Tigers team in order from Least to Greatest.
Who was the captain of the Tiger Team?
Which point approximates √30? A) A B) B C) C D) D
Please help will mark brainliest PLZZZZZZzzz
Answer:
see explanation
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
(a)
1 [tex]\frac{6}{7}[/tex] ← change to an improper fraction
= [tex]\frac{13}{7}[/tex]
Then its reciprocal is [tex]\frac{1}{\frac{13}{7} }[/tex] = [tex]\frac{7}{13}[/tex]
(b)
The reciprocal of [tex]\frac{7}{13}[/tex] is [tex]\frac{1}{\frac{7}{13} }[/tex] = [tex]\frac{13}{7}[/tex] = 1 [tex]\frac{6}{7}[/tex]
(c)
Each is the reciprocal of the other
Find the difference 701 and 413
Answer:
I believe its 288 I might be wrong but it's worth a shot
Mr. and Mrs. Sung stayed at a bed-and-breakfast for
two nights while on vacation. Their final bill for the
room including sales tax was $364.61. If they were
charged 10.3% tax on the room, how many dollars per
night did the room cost before tax?
Answer:
163.53
Step-by-step explanation:
if you divide 364.61 multiply by the tax...37.55483....then that minus the number...327.05517....then you divide by two...163.527585...rounded 163.53
7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23
Step-by-step explanation:
[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]
find csc θ and sec θ if cot θ= 3/2 and cos θ>0
Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:
cot(θ) = cos(θ)/sin(θ) > 0 ===> sin(θ) > 0
Recall the Pythagorean identity:
sin²(θ) + cos²(θ) = 1
Multiplying both sides by 1/sin²(θ) yields another form of the identity,
sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)
1 + cot²(θ) = csc²(θ)
so that
csc(θ) = + √(1 + cot²(θ))
csc(θ) = √(1 + (3/2)²)
csc(θ) = √13/2
By definition of cosecant, we have
csc(θ) = 1/sin(θ)
so that
sin(θ) = 2/√13
Then using the Pythagorean identity once more, we have
cos(θ) = + √(1 - sin²(θ))
cos(θ) = √(1 - (2/√13)²)
cos(θ) = 3/√13
so that, by definition of secant,
sec(θ) = 1/cos(θ)
sec(θ) = √13/3
1111111111111111111111111111111111111111111111freepoints
Answer:
thank youuuuuu
Step-by-step explanation:
Answer:
thank
Step-by-step explanation:
please help! no work needs to be shown:)
Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5
Answer:
d
Step-by-step explanation:
Compute and simplify.
17/1/12/29
Answer:
0.049
Step-by-step explanation:
17÷1=17
17÷12=1.42
1.42÷29=0.049
#11 help please !!!!!!!
Answer:
Step-by-step explanation:
300/100 = 3 = 1%
if 3 = 1% then 3/2 or 1.5 = 0.5%
5 x 3 = 15 = 5%
15 + 1.5 = 16.5 = 5.5%
en un triangulo rectangulo abc rectos en b a) hallar el angulo a si c=2a b) hallar el angulo en c se a=4b+10
answer
The side
b
is
4√2
unit.
Explanation:
in right triangle
C=900,a=2,c=6c
is
the side opposite to the right angle, so it is hypotenuse,
a
and
b
are the adjacent sides of the right angle .
We know in right triangle
,a2+b2=
c2∴22+b2=62
or
b2=36−4=32∴
b=√32
or
b=4√2
unit. The side
b is 4√2
unit [Ans]
i rlly need help--plzzzzzzzzzzzzzzzzz 10 points
Answer:
Harper is 200 yards away from her home if the map shows 3 inches
Step-by-step explanation:
50 yards = 3/4 inch
3 inches = 3/1
3/1 x 4/4 = 12/4
12/4 = 3 inches
50 x 4 = 200
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Whats 1 and 2
true
false
true/false
Answer:false true
Step-by-step explanation:
An ice cream factory makes 170 quarts of ice cream in 5 hours. How many
quarts could be made in 36 hours? What was that rate per day?
The amount of quarts which will be made in 36 hours and the production rate per day is :
1224 quarts on 36 hours 816 quarts in a dayGiven the Parameters :
Time taken to make 170 quarts = 36 hours
Number of quarts made in 36 hours using the proportional relationship :
170 = 5
p = 36
Cross multiply :
5p = 170 × 36
5p = 6120
p = 6120 / 5
p = 1224 quarts
The production rate per day :
Number of hours in a day = 24 hours
170 = 5
p = 24
Cross multiply
5p = 170 × 24
5p = 4080
p = 4080/5
p = 816
Therefore, the production rate per day is 816 quarts
Learn more : https://brainly.com/question/18112348
What kind of fraction is 14/6
Yes, It is an improper fraction
What is the lcm of the numbers below will give you brainleist
i took this exam and the answer is c.25,200
Evaluate the expression. −3(−15−2(−9))2 What is the value of the expression? Enter your answer in the box.
please mark this answer as brainlist
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ −3[−15 − 2(−9)]²
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ −3[−15 − 2(−9)]²
⇒ −3[−15 + 18]²
⇒ −3[3]²
⇒ −3 × 9
⇒ −27
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
More about the value of the expression link is given below.
brainly.com/question/23671908
#SPJ5
Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music folders for all of the members. Each music folder costs $7.99. If Mr. Singer buys 23 music folders, how much does he spend?
Answer: 183.77
Step-by-step explanation:
23*7.99 =183.77
1. If the measures of two angles of a triangle are 19° and 80°, find the measure of the third angle.
19+80=180
99=180
180_99
81
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.
[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]
WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU, AND STARS!!!
Answer:
162kph (i think, sorry if im wrong)
Which means 486km in 3 hours....
Step-by-step explanation:
Hope this helps!
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!
Answer:
• From trigonometry ratios:
[tex]{ \boxed{ \rm{ \sin(A) = \frac{opposite}{hypotenuse} }}} \\ [/tex]
opposite → 28hypotenuse → 35[tex]{ \rm{ \sin(A) = \frac{28}{35} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \sin(A) = \frac{4}{5} \: }}}}[/tex]
Find the difference and express your answer in scientific notation.
(8.9 x 10^-6) - (6.7 x 10^-8)
Difference:
How much greater is [tex]8.9*10^8[/tex] than [tex]1.6*10^6[/tex]? Express your answer using either standard notation or scientific notation.
[tex]8.9*10^8 - 1.6*10^6[/tex]
[tex]890,000,000-1,600,000[/tex] Convert to standard notation
[tex]888,400,000[/tex] Standard Notation
[tex]8.884*10^8[/tex] Scientific Notation
Martha Stewart has developed a new perfume. She decides to test its side effects by spraying the perfume in 31 randomly chosen houses. She records the level of antigens that create an allergic response. If the antigen level is high enough, the person will go into anaphylactic shock. The mean of her sample is a lot bigger than the median, but Martha hopes that a 90% confidence interval will contain zero. Her confidence interval is (0.116, 1.884). Disappointed, she offers you $144 to find an acceptable, realistic way to change the confidence interval to contain zero. What could you say to earn the money
The acceptable and realistic ways to to change the confidence interval to contain zero are;
Martha should decrease x-bar by providing medicine to treat shock to the perfume users.Decrease sample size than 30Increase the confidence level, till the interval contains zeroReasons:
The confidence interval is given by the following formula;
[tex]CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex]
When the mean, [tex]\overline x[/tex], is positive and large, both values, [tex]\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and [tex]\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], will be positive.
Therefore, Martha has to either intervene to reduce the mean also known as x-bar
Increasing the confidence level will increase the allowable error such that [tex]\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and the interval will contain zero
Therefore;
Martha should decrease x-bar, [tex]\overline x[/tex], by providing medicine to treat shock to the perfume usersUse a much smaller sample size, n, such that [tex]t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}} > \bar{x}[/tex]Increase the confidence level to 95% or 99%, thereby increasing the error boundLearn more here:
https://brainly.com/question/13034570
How to find the square root in long division method for 5.4289
(explanation attached)
Two numbers that will multiply to -45 and also add to 4
Answer:
your numbers are -5 and 9, since 9 * -5 = -45 but 9 + (-5) = 9 - 5 = 4
Answer:
The numbers are 9 and -5
Step-by-step explanation:
9×-5= -45
9-5 = 4
Round 6,823 to the nearest thousand
Answer:
7,000
Step-by-step explanation:
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
Answer:
a) 9000 gam
Step-by-step explanation:
Answer:
a) 9000 grams
Step-by-step explanation:
1 kg=1000 g
9*1000=9000
