Need help with this math question 15 points
What is the range of y= sec-'(x)? PreCal, send help please!!
Given:
The function is:
[tex]y=\sec^{-1}(x)[/tex]
To find:
The range of the given function.
Solution:
We have,
[tex]y=\sec^{-1}(x)[/tex]
The range of secant inverse function is:
[tex]Range=\{y|0\leq y\leq \pi , y\neq \dfrac{\pi}{2}\}[/tex]
The range of the given function in interval notation is:
[tex]Range=\left[0,\dfrac{\pi}{2}\right)\text{ and }\left( \dfrac{\pi}{2}, \pi\right ][/tex]
Therefore, the correct option is C.
In the triangle below..
Answer:
44
Step-by-step explanation:
Step 1: Create an equation to solve for ∠Z
Recall that trig ratio tangent = Opposite over Adjacent
Opposite of ∠Z = 75 and adjacent of ∠Z = 79
Hence, [tex]tan(z)=\frac{75}{79}[/tex]
We now solve for z
Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1
[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]
We're left with z = 43.51213147
Our last step is to round to the nearest degree,
We get that ∠Z = 44
Randy wants to save $21 to buy a basketball he saved $7 each week which array represents the number of weeks randy needs to save $21
Answer:
he will have to save $7 for 3 weeks to get $21
Step-by-step explanation:
find the HCF of 84, 120 and 360
Answer:
12
Step-by-step explanation:
A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g, find the mass of the block in kg
9514 1404 393
Answer:
20,000 cm³54 kgStep-by-step explanation:
1 m is 100 cm, so the volume is ...
V = LWH
V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume
__
The mass is ...
(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg
The mass of the block is 54 kg.
Find the area of the circle
Pls help quick
Answer:
153.86.
Step-by-step explanation:
Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.
Given the quadratic equation X2 - 5x + 10 = 0
Which of the following gives the value of the discriminant along with the
proper interpretation of it
a. discriminant = 105 there are two solutions
b. discriminant = 105 there are no solutions
c. discriminant = -15 there are two solutions
d. discriminant = -15 there are no solutions
Answer:
b
Step-by-step explanation:
Find the exact value of x.
Answer:
7[tex]\sqrt{2}[/tex] or 9.89
Step-by-step explanation:
sin45= [tex]\frac{7}{x}[/tex]
x=[tex]\frac{7}{sin 45}[/tex]
x= 7[tex]\sqrt{2}[/tex] or 9.89
There are 4 red marbles and 8 blue marbles in a bag. Mark draws a blue marble out of the bag and does not replace. then jake draws another blue marble out of the bag.
Now what are the probabilities of drawing another blue marble?
NEED ANSWER ASAP PLS!!!
Answer:
Probability will be 4 by 6
Here is the function for the number of zombies, N, after t years, with the negative exponent expressed using the fraction ½:
N(t) = 300 • 0.5t/8
What is the half-life for the zombie population?
Answer:
The half-life for the zombie population is of 8 years.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]N(t) = N(0)(1-r)^t[/tex]
In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.
In this question:
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
Thus N(0) = 300, that is, initial population of 300.
What is the half-life for the zombie population?
This is t for which N(t) = 0.5*300 = 150. So
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]
[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]
[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]
[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]
Equal exponents, so:
[tex]\frac{t}{8} = 1[/tex]
[tex]t = 8[/tex]
The half-life for the zombie population is of 8 years.
Please I need it now
A rational number is terminating decimal, if its denominator has
no prime factor other than:
A. 2 and 3 B. 3 and 5 C. 2 and 5 D. 2 and 7
Answer:
it's C. 2 and 5...
Step-by-step explanation:
If the denominator of rational number contains no prime factors other then 2 or 5 or both, then this rational number can be expressed as terminating decimal. So the correct answer is option is C
Suppose N in L(V) is nilpotent. Prove that the minimal polynomial fo N is z^m+1, where m is the length of the longest consecutive strong of 1st that appears on teh line directly aoce the diagonal in teh matrix of N with respect to any jordan basis for N.
Answer: your question is poorly written attached below is the complete and well written question
answer : The minimal polynomial has degree m + 1 hence Z^m+1
Step-by-step explanation:
Given that
N ∈ L(V) is nilpotent
attached below is the required prove
match the prefixes with the metric unit
Answer:
kilo =1*10^3 grams
nano=one millionth
micro=0.01 litres
centi=0.0000000001 meters
Step-by-step explanation:
The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?
Answer:
1,264
Step-by-step explanation:
a = 1000(1.06)^4
a = 1,262.47696
1,264
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24
Answer:
Step-by-step explanation:
x/y=y/x
4.5/3=24/y
do cross multiplication
24*3=y*4.5
72=4.5y
72/4.5=y
16=y
A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.
Answer:
The area of the kite is 27.6 cm²
Step-by-step explanation:
Given;
dimension of the equilateral triangle, = 6 cm
dimension of the isosceles triangle = 5 cm
Please check the image uploaded for a detailed solution.
1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}
Answer: Choice B
Each time we're adding 122 to each term to get the next term
232+122 = 354354+122 = 476476+122 = 598This goes on forever because of the three dots, hence the set is infinitely large.
We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.
Round off 54951 to the nearest 10,000.
Answer 50,000
Step-by-step explanation:
How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?
Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴
Given tha expression :
5 × 5 × 5 × 5Number of 5's = 4
The number of 5's can be used as the power of the base, since the base is common.
Base = 5
Hence,
5 × 5 × 5 × 5 = 5⁴
Learn more : https://brainly.com/question/25629067
You pick a word at random from the set of all words of length six of letters of the alphabet with no repeated letters. What is the probability that the word begins and ends with a vowel
Answer: [tex]\dfrac{2}{65}[/tex]
Step-by-step explanation:
Given
There is a six letter word with no repeated letters
Number of ways of arranging 6 letters out of 26 letters is [tex]^{26}P_6[/tex]
For the 6 letter word with vowels in the beginning and the end can be formed by selecting 2 vowels out of 5 available.
First place has 5 choices to fill and the last place left with 4 choices to fill
Remaining 4 places can be filled by [tex]^{24}P_4[/tex] ways
So, the required probability is given by
[tex]\Rightarrow \dfrac{5\times ^{24}P_4\times 4}{^{26}P_6}=\dfrac{2}{65}[/tex]
Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter
Answer:
x=20
Step-by-step explanation:
Both Angles have the same value, as they are opposite angels.
Set your formula up as
5x+20=3x+60
5x=3x+60-20
2x=40
x=40/2
x=20
Find the value of x for the right triangle. Round your answer to the nearest hundredth.
450
19
Answer:
450 foe
Step-by-step explanation:
Which graph best represents an exponential function?
• A.
B.
C.
Express 5 cm in metre and kilometre.in decimals........................
Answer:
0.05 metre
5×10^5 kilometer
1.9685
PLS HELP ASAP!! need the answer
Answer:
60 degrees
Step-by-step explanation:
WILL GIVE U BRAINLIEST
ABCD is a rectangle. AB = x + 7, BC = 2x + 19. What is the CD?
A. 2x + 133
B. X + 7
C. 5x + 38
D. 2x + 14
Answer:
A rectangle has its Opposite sides Equal.
Draw one so you'd grab it better.
AB=CD
BC= AD
Since CD=AB and We're given AB=x+7...
CD = x + 7
OPTION B IS LEGIT!!
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
The area of a rectangle is given by 3x3+14x2−23x+6. The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
Answer:
is that 3x or mutiply sign
Answer:
3x^2-4x+1
Step-by-step explanation:
work out the area of this circle. take pi to be 3.142 and give your answer to be 2 decimal places. 11,2 cm
Answer:
11.2 i think so but you will write 11.2