Help me with this pls
Answer:
= 5^-8 . 5^-10
= 5^(-8 ) + (-10)
=5^-18
Answer:
5^-18
Step-by-step explanation:
[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]
Some help doing a final
Answer:
65 degrees
Step-by-step explanation:
90 + 90 + 115 + x = 360
x= 65
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?
The required equation of the hyperbola is expressed as
[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]
The standard form for calculating the equation of a parabola along the x-axis is expressed as:
[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:
(h, k) is the center
(k±c, h) are the foci
[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix
From the question given, we can see that foci = (±5, 0)
k±c, h = ±5, 0
k = 0
h = 0
c = 5
From the directrix,
[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]
Also, we need to know that;
a²+b² = c²
10 + b² = 5²
b² = 25 - 10
b² = 15
Substituting the gotten values into the equation of a hyperbola;
[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]
This gives the required equation of the hyperbola
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Answer:
The answers are between C and D
Step-by-step explanation:
It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.
What is 4/8 + 1/4 simplified what is 3/5 + 2/10 simplified what is 1/3 + 3/9 simplified what is 2/10 +2/5 simplified and what is 3/6 + 2/12 simplified
Answer:
3/4, 4/5, 2/3. 3/5, 2/3
Step-by-step explanation:
What is 4/8 + 1/4 simplified
4/8 + 1/4
4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)
4/8 + 2/8
6/8
or, 3/4 (I simplified the fraction to lowest term)
what is 3/5 + 2/10 simplified
3/5 + 2/10
3/5 + 1/5
4/5
what is 1/3 + 3/9 simplified
1/3 + 3/9
1/3 + 1/3
2/3
what is 2/10 +2/5 simplified
2/10 + 2/5
1/5 + 2/5
3/5
what is 3/6 + 2/12 simplified
3/6 + 2/12
3/6 + 1/6
4/6
2/3
What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2
Answer:
c=-18 d=2
Step-by-step explanation:
[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]
The equation tells that when the two matrices are subtracted we get the resultant matrix.
Each element of the first matrix corresponds to each element of the second matrix
From above
6- (c+2)= 22
6- c-2= 22
4-c= 22
-c= 22-4
-c= 18
c= -18
And
15-( d-4)= 17
15- d+4= 17
19-d= 17
-d= 17-19
-d= -2
d= 2
Answer:
D
Step-by-step explanation:
c= -18
d= 2
Find the area of the shaded region
Answer:
Area = 28.43 cm²
Step-by-step explanation:
area of square = 11.5 x 11.5 = 132.25 cm²
area of circle = πr² = (3.14)(5.75²) = 103.82 cm²
Area= 132.25 - 103.82 = 28.43 cm²
Answer:
28.38 cm²
Step-by-step explanation:
Area of square
a = 11.5^2
a = 132.25
The corners are 4 quarter circle
which makes a complte circle
a = πr^2
a = π(11.5/2)^2
a = 103.8689071093
Area shaded
a = 132.25 - 103.8689071093
a = 28.3810928907
Rounded
a = 28.38 cm²
i need help -29 = 6a - 17
Answer:
a=-2
Step-by-step explanation:
-29=6a-17
add 17 on both sides
-12=6a
divide by 6 on both sides
-2=a
a=-2
Solve for the value of n.
please help
Answer:
n = 8
Step-by-step explanation:
The angles are vertical angles and so they are equal
9n = 8n+8
Subtract 8n from each side
9n - 8n = 8n+8-8n
n = 8
Please help it would mean sm :))) I’ll give BRAINLIST
Answer:
113.1 in
Step-by-step explanation:
C = πd
d = 36
C = 36π = 113.1 in
CAN SOMEONE HELP ME PLEASE
Answer:
m1= 82
m2=98
m3=82
Step-by-step explanation:
Angle m4 is supplementary with angle m1 so their values add up to 180
180-98=82
Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.
Angle m3 is opposite of m4 so it is the same value. It is supplementary to m1 and m3, so it must be 98 through that logic as well.
if a population consist of 32,000 people, a sample of the population could consist of which of the following numbers of people?
a. 3,200,00
b. 32,000,000
c. 320,000
d. 3,200
Answer:
d. 3,200
Step-by-step explanation:
If the total population consists of 32,000 people, a sample of the population selected will consist of a number equal or less than 32,000 people.
From the given options, the only option that matches the above explanation is "D" which is less than 32,000 people.
Therefore, the correct answer choice is D. 3,200.
a fair dice is rolled. work out the probability of getting a number more than 2. give your answer in its simplest form
Answer:
67% (rounded)
Step-by-step explanation:
Since there is 1-6,
There is 3,4,5,6 which is 4/6 chance being above 2.
2/3 = 66.6%
Answer:1/36
Step-by-step explanation:
If the perimeter of the polygon is 42, AB = ______?
Answer:
AB = 7
Step-by-step explanation:
The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.
Perimeter = 6 x length of one side
If you plug everything you know in the equation, you would get...
42 = 6 x length of one side
42 ÷ 6 = 7
So, 7 is the length of AB, since in a hexagon, all sides are the same length.
The length of side AB is 7.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
The given polygon is a hexagon since it has 6 faces.
Now,
The six faces are equal in length.
So,
6 faces length = 42
Now,
Each face = x
And,
6x = 42
x = 42/6
x = 7
Thus,
The length of AB is 7.
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PLEASE PLEASE HELP ME
Answer:
c
Step-by-step explanation:
dfghfghj
On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. The number of visitors, v, can be modeled by v=15⋅3^(d−1), where d is the number of days in the campaign.
On which day of the ad campaign did the website have 10,000 visitors?
A) 4
B) 7
C) 9
D) 6
Answer: 7
Step-by-step explanation:
PLEASE I NEED HELP WITH THIS
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
[tex]m(arc(AD))=105^\circ[/tex]
The central angle of arc BC is 35 degrees. So,
[tex]m(arc(BC))=35^\circ[/tex]
The central angle of arc CD is 50 degrees. So,
[tex]m(arc(CD))=50^\circ[/tex]
The central angle of a complete circle is 360 degrees. So,
[tex]m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ[/tex]
[tex]105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ[/tex]
[tex]190^\circ+m(arc(AB))=360^\circ[/tex]
[tex]m(arc(AB))=360^\circ-190^\circ[/tex]
[tex]m(arc(AB))=170^\circ[/tex]
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
Please help me find the value of x!
Exact Answer: x = 16/3
Approximate Answer: x = 5.333
=======================================================
Work Shown:
base = 3x-1
height = x
area of triangle = (base*height)/2
40 = x*(3x-1)/2
40*2 = 3x^2 - x
80 = 3x^2 - x
0 = 3x^2 - x - 80
3x^2 - x - 80 = 0
Now apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]
A negative height doesn't make sense, so we ignore x = -5
The only solution is x = 16/3 which approximates to x = 5.333
DO NOT PUT A LINK!!!
Answer: D
Step-by-step explanation:
Plug in 0 for each variables in the equation and see which one holds true
Hope this helps
What is the area of a circle with a diameter of 5.4
P.S Show work
Nigel owed his friend $20. He paid his friend half of the debt, but later he had to borrow an additional $3. Which of these expressions represents Nigel's debt to his friend?
Answer:
Where are the answers
Step-by-step explanation:
What would the equation look like if you
completely simplified the RIGHT SIDE ONLY?
5 = 4(x – 2) – 7x
A) 5 = 3x – 2
B) 12 = 4(x - 2)
C) 5 = -6x + 8
D) 5 = -3x – 8
Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. what is the group that is not given any medicine?
A. the control group in an experiment
B. the experimental group in a survey study
C. the experimental group in an experiment
D. the control group in an observational study
Answer:
A. the control group in an experiment
Step-by-step explanation:
Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. The group that is not given any medicine is the control group in an experiment.
Who are researchers?Researchers are those who do research on something i.e. systematics and deep investigation into something.
What is control group?Control Group is that group in research which does not take any medication or untreated group.
During the research while a new type of medicine is to be tested, the group that receives the medication or being tested is called the experimented group and the group that does not receive the treatment is called the control group.
Hence, we can say that the group that is not given any medicine is the control group in an experiment.
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Write the equation that describes that function. Express slope intercept form. IM BEGGING FOR HELP PLEASE
Answer:
y=2x+2
Step-by-step explanation:
Please help! I will give Brainliest!
Answer:
Option. A
Step-by-step explanation:
Have a great day!
Answer: A
Step-by-step explanation: there's 8 spaces on the spinner
Help ASAP, mathematics trig
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then
θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )
WILL GIVE BRAINLIEST PLEASE HELP ASAP
The sum of three consecutive numbers is 72. What is the smallest of these numbers? Set up an equation to solve.
Answer:
Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23
Step-by-step explanation:
Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.
Step-by-step explanation:
The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.
Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.
Knowing this, we can divide 72 by three to get the value of the middle number.
72/3 = 24, so the middle number is 24.
The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.
You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.
To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.
72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.
rewrite each expression as single exponent. Answer all of them Please!
1} 11 to the second power times 11 to the tenth power
2} 13 to the 6 power times 13 to the forth power
3} 14 to the power 9 times 14 to the tenth power
4} 2 to the power 4 times 2 to the forth power
5} 7 to the 8 power times 7 to the 6 power
6} 3 to the power 3 times 3 to the 9 power
Answer:
[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]
Step-by-step explanation:
Please Mark Brainliest for helping
How many different 12-letter arrangements can be made using the letters in the word CARELESSNESS?
From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.
What is permutation?When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
Among the 12 letters in CARELESSNESS,
there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.
There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,
most of which are identical because of repeated letters.
In order that each permutation be distinct, repeat letters have to be accounted for.
4 S’s be in 4! = 24 ways,
3 E’s, in 3! = 6 ways.
And 1! = 1 way.
Distinct permutations as requested,
thus = 12!/(3!)(4!)(1!)
= 3326400.
Therefore, 3326400 different 12-letter arrangements can be made using the letters in the word CARELESSNESS.
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What is the series in summation notation?
Answer:
A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
Step-by-step explanation:
I hope it's help u
Answer:
the answer is B
Step-by-step explanation:
i got your back
The number of sides of a regular polygon is given. Find the measure of each interior angle of each polygon.
1) 13
2) 20
3) 11