In other words, write it in exponential form.
To write a as a power of 2, your log form should be written this way: log_2 (5) = a.
We can then then write it in exponential form showing a as a power of 2.
Here it is:
2^(a) = 5
For the function
f
(
x
)
=
5
(
x
+
10
)
f(x)=5(x+10), find
f
−
1
(
x
)
f
−1
(x).
Answer:
45
Step-by-step explanation:
Help needed ASAP rocky!
Answer:
C. {x | x < [tex]\frac{10}{7}[/tex]}
Step-by-step explanation:
x must be less than 10/7
I hope this helps!
If MO= 5x+3 and NO= 6x what is the length of MN
Answer:
MO= 5x +3
NO= 6x
MN= ( collect light terms) 5x+ 6x = 11x +3
ans= 11x+3
If points {M,N,O} are collinear, and N is between M and O, then this would allow us to use the segment addition postulate like this:
MO = MN + NO
MN = MO - NO
MN = (5x+3) - (6x)
MN = (5x-6x) + 3
MN = -x + 3
Answer: -x+3
find x...............................
Answer:
sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/2
2 sin 45 =x
2 ( sqrt(2)/2) =x
sqrt(2) =x
Answer please please I cant think
Answer: ∠A = 20°; ∠B = 59°; ∠C = 101°
Step-by-step explanation:
According to the problem:
∠A = ∠A∠B = 4 · ∠A - 21°∠C = 5 · ∠A + 1°All interior angles within a triangle adds up to 180°:
∠A + ∠B + ∠C = 180°
[tex]A+(4A-21)+(5A+1)=180\\\\A+4A+5A-21+1=180\\\\10A=180+21-1\\\\10A=200\\\\A=20\°[/tex]
Substitute in the value of ∠A into the other equations:
∠B = 4 · ∠A - 21° = 4(20°) - 21° = 80° - 21° = 59°
∠C = 5 · ∠A + 1° = 5(20°) + 1° = 100° + 1° = 101°
Question : A scale model of a tower is made using the scale 1 in=4ft. If the height of the scale
model is 20 in, what is the height of the tower?
Answer:
80ft
Step-by-step explanation:
1ib=4ft, multiply by 20 both sides and you will get 20in=80ft
Martine grew at an average rate of 6cm/year for the first 18 years of her life. If Martine was 50 cm long when she was born, how tall was Martine when she turned 18?
Answer:
158cm
Step-by-step explanation:
Martine had the height of 50cm when born.
Every year she grows at an average rate of 6cm
So the the first 18 years will be 6cm × 18 = 108cm
She will be 108cm + 50cm = 158cm tall by the time she turns 18 years
50cm + (6 × 18)cm
50cm + (6 × 18)cm50cm + 108cm
50cm + (6 × 18)cm50cm + 108cm158cm
Please help me solve this I’m really struggling
Answer:
Step-by-step explanation:
I graphed this on my calculator to get the region of feasibility. You should learn how to use your calculator to help you do things like this. You should know by now how to graph by hand, which is tedious, so now it's time to use your calculator to sweat the small stuff and learn to do some useful things.
When you graph this inequality on your calculator, you can see the points of intersection which in turn translate to the vertices of the feasible region. They are located at:
(-14, -6), (-9, -11), (6, 4)
You could then use those vertices to maximize the profit equation or production equation or whatever it is this system pertains to.
black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them were black hint let there be x black pencils thus there are (24-x) coloured pencils.
Answer:
number of black pencils is 17
An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th
9514 1404 393
Answer:
up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ftStep-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.
The triangle sides are ...
4 ft : 4√3 ft : 8 ft
The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.
Choose the equation that represents the graph.
graph of a line passing through points negative 3 comma 0 and 0 comma 3
y = x − 3
y = −x + 3
y = −x − 3
y = x + 3
Answer:
Answer: Option D
Step-by-step explanation:
Hey there!
From the above question;
The line passes through (-3,0) and (0,3).
Use double point formula;
[tex]( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)[/tex]
Keep all values;
[tex](y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)[/tex]
Simplify it;
[tex]y = \frac{3}{3} (x + 3)[/tex]
Therefore, y = x+3.
Hope it helps!
Answer:
D
Step-by-step explanation:
Line A passes through points (-3,2) and (-23,54) line B is parallel to line A and passes through point (-8,0) what is the equation of line B? please help!!
Answer:
the correct answer to this question is b
Step-by-step explanation:
got it right
what percentage of 50kg is 65 kg?
Answer:
130
Step-by-step explanation:
65/50*100= 130
Help Please !!
A right triangle pyramid has a height of 10 inches and a base of 41.57 square inches. What is the volume, in cubic inches, of the pyramid?
Answer:
Step-by-step explanation:
Volume of pyramid = Base area * height
= 41.57 * 10
= 415.7 cubic inches
A man invested ksh. 36000 in two companies P and Q . Company P pays a dividend of 11.25% while Q pays a dividend of 10.5%. Is from his total investment, he obtained a return of 10.75%,how much did he invest in each company?
Answer:
Investment in company P = 12,000
Investment in company Q = 24,000
Step-by-step explanation:
Given that,
Total investment = 36,000
Dividend paid by company P = 11.25%
Dividend paid by company Q = 10.5%
Total return = 10.75%
Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,
A.T.Q.
a + b = 36,000 ...(i)
11.25% of a + 10.5% of b = 10.75% of 36000 ...(ii)
On simplification,
a + b = 36,000
11.25% of a + 10.5% of b = 3870
Now,
11.25% of a + 10.5% of (36000 - a) = 3870
⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870
⇒ 0.1125 a + 3780 - 0.105a = 3870
⇒ 0.1125a - 0.105 a - 3870 - 3780
⇒ 0.0075 a = 90
⇒ a = 90/0.0075
∵ a = 12000
Since, a = P = 12,000
Q = b = (36000 - a)
= 36000 - 12000
= 24,000
Thus,
Investment in company P = 12,000
Investment in company Q = 24,000
Answer:
Amount invested in P = 12,000
Amount invested in Q = 24,000
Step-by-step explanation:
Given:
Amount invested = 36,000 in two companies P and Q
P pays dividend = 11.25%
Q pays dividend = 10.5%
Total return = 10.75%
Find:
Amount invested in each company
Computation:
Total return = 36,000 x 10.75
Total return = 3870
Assume;
Amount invested in P = a
So,
Return in P = a x 11.25%
Return in P = 0.1125a
Return in Q = [36000 - a]10.5%
Return in Q = 3,780 - 0.105a
Total return = Return in P + Return in Q
3,870 = 0.1125a + 3,780 - 0.105a
90 = 0.0075a
a = 12,000
Amount invested in P = 12,000
Amount invested in Q = 36,000 - 12,000
Amount invested in Q = 24,000
2) The cost of renting a boat for one or more
days is given by the function f(n)=12+20n,
where n = number of days and f(n) = total
cost in dollars.
What is the value of f(7-4)?=
Answer: 3f
Step-by-step explanation:
4. Which equations have 4 as a possible solution for p? Select all that apply.
A. p²= 8
B.p³= 8
c.p²= 16
D.p²= 64
E.p³=64
Answer:
A. p2=16
soln:
p=4×4=16
so,
p2=16
Find the area and the circumference of a diameter 8yd Use the value 3.14 for π, and do not round answer
Answer:
circumference = 25.12 yards
area = 50.24 yards squared or yd^2
Step-by-step explanation:
circumference = pi * d
3.14 * 8 =
25.12
area = pi* r^2
r = 1/2 of d = 4
area = pi * 16
3.14 * 16 =
50.24
Answer:
Area: 50.24yds^2 Circumference: 25.12yds
Step-by-step explanation:
Area: The formula for area of a circle is a = πr^2.
The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:
A = (3.14)(4)^2
A = (3.14)(16)
A = 50.24yds
Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.
C = 2(3.14)(4)
C = 25.12yds
Hope this helps
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Answer:
Not any question Lol ?
step by steo explanation
oh ik let me ask by speaking your language
nsjwkskxkcnnejskalzlmxmdneja ?
Given: BE and AD are altitudes (intersecting at H) of triangle ABC, while F,G, and K are midpoints of AH, AB and BC, respectively. Prove: angle FGK is a right angle.
Solution :
Since [tex]BE[/tex] is an altitude of a triangle [tex]ABC[/tex], it is perpendicular to [tex]AC[/tex] (since the triangle ).
Since [tex]G[/tex] and [tex]K[/tex] are the midpoints, then the line [tex]BG=GA[/tex] and the line [tex]BK=KC[/tex]. The line [tex]KG[/tex] must be parallel to the line [tex]AC[/tex] and is therefore perpendicular to [tex]BE.[/tex]
Now since F and [tex]G[/tex] are the mid points, we get [tex]GA=BG[/tex]. The line [tex]GF[/tex] is parallel to BH and is perpendicular to AC.
Therefore, we have
[tex]KG-GK[/tex] parallel to [tex]AC[/tex]
[tex]AC[/tex] perpendicular to [tex]BE-BH-BJ[/tex]
[tex]BE-BH-BJ[/tex] parallel to [tex]GF[/tex]
Thus [tex]GK[/tex] is perpendicular to [tex]GF[/tex] and also ∠[tex]FGK[/tex] is a right angle.
HELP.... please??????????????
Answers:
Functions
y = -x+11y = 2x^2-6x+4y = -7Not functions
x = 3x^2+y^2 = 81y^2 = -5x-12=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
-----------------
In summary, we have these three non-functions:
x = 3x^2+y^2 = 81y^2 = -5x-12Everything else is a function. You can use the vertical line test as a visual way to check.
The following house is called an A-frame house because it looks like the letter A from the front.
Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards.
What is the area covered by the roof? [Type your answer as a number. Do not round.]
__ square yards
The area covered by the roof would be 84.5 square yards.
How to calculate the area covered by the roof of the house?To calculate the area covered by the roof the formula that should be used would be the formula for the area of a square;
That is ;
Area = 2(length×width)
= 2(6.5×6.5)
= 2(42.25)
= 84.5 yards²
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
(8-16) + (8 + 6)
If the parentheses are removed from the above
expression, how will the value of the expression
change?
A. no change
B. increase of 3
C. increase of 7
D. increase of 12
E. increase of 16
Step-by-step explanation:
Right now, we would solve everything within the parenthesis first.
(8 - 16) + (8 + 6)
(-8) + (14)
14 - 8
6
But if we remove the parenthesis, it doesn't matter what order we do things in.
8 - 16 + 8 + 6
8 + 8 - 16 + 6
16 - 16 + 6
6
The reason why both of these are the same, is because the only calculations we're doing are addition and subtraction, which don't care about parenthesis.
Answer:
A
ok so i have this question and it asks
josh has 30 keys and loses three when he bumped into someone then he finds 7 keys how much keys does he have?
Hey there!
At first, Josh has 30 keys.
Then, he loses 3 keys.
30 keys - 3 keys = 27 keys
After that, Josh finds 7 keys.
27 keys + 7 keys = 34 keys
Josh will have a total of 34 keys.
Hope this helps! Have a great day!
PLEASE HELP WILL MARK BRAINLIEST
Which is the solution to the inequality?
2 and three-fifths less-than b minus StartFraction 8 over 15 EndFraction
A. b less-than 2 and StartFraction 1 over 15 EndFraction
B. b greater-than 2 and StartFraction 1 over 15 EndFraction
C. b less-than 3 and StartFraction 2 over 15 EndFraction
D. b greater-than 3 and StartFraction 2 over 15 EndFraction
Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
[tex]b > 3\frac{2}{15}\\\\[/tex]
========================================================
Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality [tex]2 \frac{3}{5} < b - \frac{8}{15}\\\\[/tex] is the same as [tex]\frac{13}{5} < b - \frac{8}{15}\\\\[/tex]
---------------------
Let's multiply both sides by 15 to clear out the fractions
[tex]\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\[/tex]
---------------------
Now isolate the variable b
[tex]39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\[/tex]
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.
5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?
Answer:
Value is 57
Step-by-step explanation:
sin 33
= sin (90-57)
= cos 57
Answered by GAUTHMATH
Which graph represents a function?
Answer:
The last option
Step-by-step explanation:
In order for the graph to be a function it has to pass the vertical line test. If you draw a vertical line through the graph and it only intersects at one point then it is a function.
A game involves rolling a number cube. You get one point if you roll an even number and negative one point if you roll an odd number.
A 7-column table has 3 labeled rows. The first row is labeled Roll with entries 1, 2, 3, 4, 5, 6. The second row is labeled Probability with entries one-sixth, one-sixth, one-sixth, one-sixth, one-sixth, one-sixth. The third row is labeled Point(s) with entries negative 1, 1, negative 1, 1, negative 1, 1.
Which statements are true regarding this scenario? Check all that apply.
The sample space is {1, 2, 3, 4, 5, 6}.
The expected value for the game is 0.
The expected value for the game is One-half.
The game is fair because the expected value is equal to 0.
The game is unfair because the expected value does not equal 0.
Answer:
A. B. D.
Step-by-step explanation:
There are 6 possible values to roll. Since 3 values are even and 3 values are odd, the game should be 0.
Answer:
A, B, D
Step-by-step explanation:
EDG 2021
Brainliest?
Can anyone help me with this?
8.6
Answer:
Solution given:
[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]
Answer:
[tex]8.6[/tex]
Step-by-step explanation:
Step 1: Find the approximate value of [tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]
Answer: [tex]8.6[/tex]
12) Gina is making a bookcase and has 92 inches of wood. If she uses 61 inches of wood for the top and bottom, how much wood does she have left for the sides?
Answer:
92 - 61 = 31
There are 31 inches of woods left.
Answer:
31 inches
Step-by-step explanation:
Simply subtract: 92 - 61 = 31
(Assuming that the bookcase has 3 sides, she has about 10.33 inches of wood for each side.)
