Answer:
12)5^x=125
13)5
Step-by-step explanation:
The base on the logarithm is also the base of the exponent so 5^something=something else and 125 is the number in the logarithm it is put on the other side so 5^something=125 and as the something is x the answer is 5^x=125
The second question uses the same logic 2^y=32 so y must be 5
Hope I helped :)
Find the height of a triangle with base 3 m and area 9 m².
a
m
Answer:
h=6
Step-by-step explanation:
a=b x h x 0.5
9=3 x h x 0.5
9/3=3/.5=6
h=6
Answer:
The Height = 6
Step-by-step explanation:
Triangle formula bxh/2
3x6/2=9
Can a parallelogram have more than 3 lines of symmetry?
Answer:
no
Step-by-step explanation:
Parallelograms have zero lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.
Answer:
Technical answer no
BUT
if you are in a college/postgraduate level group theory class yes
Step-by-step explanation:
Imagine a square, and imagine 4 lines across the top, the side, and the two diagonal ones. Because the two diagonal lines of symmetry are technically the same, there are only three possible lines.
if you are in the group theory class, comment and ill give a lengthy answer on that.
Given the two functions, which statement is true?
f(x) = log15 x, g(x) = ½ log15 (x + 4)
Question 14 options:
g(x) is shrunk vertically by a factor of ½ and shifted to the right 4 units compared to f(x).
g(x) is stretched vertically by a factor of 2 and shifted to the right 4 units compared to f(x).
g(x) is shrunk vertically by a factor of ½ and shifted to the left 4 units compared to f(x).
g(x) is stretched vertically by a factor of 2 and shifted to the left 4 units compared to f(x).
Answer:
g(x) is shrunk vertically by a factor of ½ and shifted to the left 4 units compared to f(x).
Step-by-step explanation:
The image represents a rectangular patio that has a length equal to 4 feet more than the width. What is the perimeter of the patio?
Answer:
4w+8 feet
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of its sides. Since opposite sides are identical in length, it can be computed as double the sum of adjacent side lengths. Here, the lengths are in feet.
P = 2(L+W)
P = 2((w+4) +w)
P = 4w +8
The perimeter of the patio is 4w+8 feet.
If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. find the area of the original square.
Answer: Shown below
Step-by-step explanation:
Since it's a square, we will refer to its values as x. Using that, we can make an equation for the rectangle.
(x + 15) * ( x - 13) = 60
We can expand it and simplify so that we get a zero on one side and a polynomial on the other.
(x + 15)(x - 13) - 60 = 0
x² + 2x - 225 = 0
We simplify the binomial so we get two answers for x.
(x - 15)(x + 17) = 0
x = 15 and -17
Now we have two answers. So which one is right? Well, the sides cannot be negative, therefore we must use 15 and not -17.
15² = 225
Our answer is 225
Help me please find the area of the rectangle.recall that area=length . Width
Answer:
1/35 sq. ft.
Step-by-step explanation:
Area = 3/35 x 1/3
= 1/35 sq. ft.
Hope it helps.
;)
Answer:
Step-by-step explanation:
lxw
=0.02857142857 foot
Find cos (B) in the triangle
We can identify the sides of a right triangle by describing their location in relation to a given angle.
The "hypotenuse" is the longest side of a right triangle. It is opposite the right angle.The "opposite" is the side that the angle does not touch.The "adjacent" is the side that the angle does touch, that is not the hypotenuse.There are three basic trigonometric ratios:
The sine ratio: [tex]\sin\theta=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]The tangent ratio: [tex]\tan\theta=\dfrac{opposite}{adjacent}[/tex]We use theta (θ) to represent an angle.
Solving the QuestionWe are asked to find [tex]\cos(\beta)[/tex] in the triangle.
[tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]
The side adjacent to β measures 8 units.
The hypotenuse of the right triangle measures 17 units.
[tex]\cos\beta=\dfrac{8}{17}[/tex]
AnswerTherefore, [tex]\cos\beta=\dfrac{8}{17}[/tex].
8^6 divided by 8 simplified?? :)
Given: 8^6/8
Answer:32768
Step by step explanation:
To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.Since we have no parenthesis we do exponents firstSince we are dividing we do 8^6-1 divided by 8The value of 8^6 is 262144Now we divide 252144 by 8 which gives us 32768Therefore, our answer is 32768#LearningIsFun
The subject has more freedom to respond to a/an ________.
A.questionnaire
B.survey
C.interview
D.experiment
Answer:
a
Step-by-step explanation:
bc it is the right answer i got it right
A triangle has one side measuring 16 inches and two sides measuring 13 inches. Is this triangle scalene?
yes
no
No, because a scalene triangle has to have all sides that are different lengths. 2 sides being 13 inches would mean that the triangle has 2 sides that are equal, making it an isosceles triangle.
Answer:
no
Step-by-step explanation:
A triangle is scalene when its sides have three different lengths. Your triangle has two sides with the same measure, so it is isosceles, not scalene.
your father give you a plot for your god in which is 25 square meter and after awake you have planned only the 17 square meter of it what percentage of the plot is left to be plant
[tex]\frac{25-17}{25}[/tex]×[tex]100%[/tex]%
[tex]=32[/tex]%
∴ 32% is left to be plant.
AB and BC form a right angle at point B. If A= (-3, -1) and B= (4, 4), what is the equation of BC
A. x + 3y = 16
B. 2x + y = 12
C. -7x - 5y = -48
D. 7x - 5y = 48
Answer:
(C) -7x - 5y = -48
Step by step explanation:
We look for the equation of the line AB
We have then:
y-yo = m (x-x0)
m = (y2-y1) / (x2-x1)
m = (4 - (- 1)) / (4 - (- 3))
m = 5/7
We choose an ordered pair:
(xo, yo) = (4, 4)
Substituting:
y-4 = (5/7) (x-4)
y = (5/7) x-20/7 + 4
7y = 5x - 20 + 28
7y = 5x + 8
y = (5/7) x + 8/7
The equation of the perpendicular line is:
-7x - 5y = -48
Rewrite the expression by factoring out (y+8).
5(y+8) - 7y (y + 8)
0
X
5
Answer:
[tex](5-7y)(y+8)[/tex]
Step-by-step explanation:
Factoring out y + 8:
[tex]5(y+8) - 7y (y + 8)=(5-7y)(y+8)[/tex]
The world population is projected to be 8.2 billion in 2045. At that time, there are expected to be approximately 3 billion more people in Asia than in Africa. The population for the rest of the world will be approximately 0.2 billion more than half the population of Asia. Find the projected populations of Asia, Africa, and the rest of the world in 2045.
The projected population of Asia will be approximately billion
Answer:
Since the total population will be 9.4B people
W + A+ A =9.4B
W = 0.6B + A/4
A+ 2.9B = As
A - 2.9B + As + 0.6 + A/4 = 9.4B
(9/4)*A= 11.7B
A = (4/9)*11.7B=5.2B
W = 0.6B + (5.2B/4) = 1.9B
A = 5.2B - 2.9B = 2.3B
evaluate the equation 3w = 96
A. w = 288
B. w = 32
C. w = -32
D. w = -288
Answer:
The choice B. w = 32
Step-by-step explanation:
[tex]3w = 96 \\ \\ w = \frac{96}{3} \\ \\ w = \frac{96 \div 3}{3 \div 3} \\ \\ w = 32[/tex]
Answer:
[tex]\huge\boxed{\sf{32}}[/tex]
Step-by-step explanation:
Hello.
In order to solve this equation, we need to divide both sides by 3:
3w=96
w=32
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
How many degrees are in an angle that turns through 3/4 of a circle
Answer:
270°
Step-by-step explanation:
360/4 = 90
90*3 = 270
Christine is making chocolate chip cookies for a bake sale. She needs ¾ cup brown sugar for each batch of cookies she makes. She wants to make 3 batches of cookies. She has 3 cups of brown sugar. Does Christine have enough brown sugar to make 3 batches of cookies? Without actually solving the problem, explain why or why not.
[tex]5 \div 2 \sqrt{2} [/tex]
no decimals allowed
Answer:
[tex] \frac{5}{2 \sqrt{2} } \\ = \frac{5}{ 2 \sqrt{2} } \times \frac{2 \sqrt{2} }{2 \sqrt{2} } \\ = \frac{5(2 \sqrt{2}) }{(2 \sqrt{2} )(2 \sqrt{2}) } \\ = \frac{10 \sqrt{2} }{(2 \sqrt{2} {)}^{2} } \\ = \frac{10 \sqrt{2} }{4 \sqrt{( {2)}^{2} } } \\ = \frac{10 \sqrt{2} }{4 \sqrt{2 \times 2} } \\ = \frac{10 \sqrt{2} }{4(2)} \\ = \frac{ \cancel{10} \sqrt{2} }{ \cancel8} \\ = \frac{5 \sqrt{2} }{4} answer.[/tex]
When we rationalise the expression 5 / 2√2, the result obtained is 5√2 / 4
Surd operationa / √b = (a / √b) × (√b / √b)
How to rationalise the expression 5 / 2√2Expression = 5 / 2√2Rationalisation =?5 / 2√2 = (5 / 2√2) × (√2 / √2)
Clear bracket
5 / 2√2 = 5√2 / (2×2)
Simplify
5 / 2√2 = 5√2 / 4
Thus, we can conclude that the value of 5 / 2√2 is equivalent to 5√2 / 4
Learn more about surd:
https://brainly.com/question/24700530
Make b the subject of the formula, a=the square root of b-a
Step-by-step explanation:
[tex]a = \sqrt{b - a} [/tex]
firstly square
[tex] \sqrt{b- a} [/tex]
to get a-b on it's own
it's now
[tex]a = b - a[/tex]
now plus the a to cancel out the minus a to get
[tex]a {}^{2} = b[/tex]
which can also be written as
[tex]b = a {}^{2} [/tex]
dont know if that makes sense as I'm not the best at trying to explain
Convert 74.8% to a fraction in simplest form and a decimal.
Fraction:
Decimal (Edit the repeating and non-repeating part):
Answer:
decimal; 0.748 fraction is: 374/5 or 74 4/5 .
Express your answer in scientific notation.
1.8x 10^-2 – 3.9 x 10^-3 =
Answer:
1.41 x 10^-2
Step-by-step explanation:
1.8 x 10^-2 - 3.9 x 10^-33 = 18 x 10^-3 - 3.9 x 10^-3
= (18-3.9) x 10^-3
= 14.1 x 10^-3
= 1.41 x 10^-2
Comment below if you have any questions! If you could mark this answer as the brainliest I would appreciate it!
Find f(h(-1)).
-9
2
11
-11
Answer:
f(h(-1)) = - 11 or D
Step-by-step explanation:
h(-1) = -2(-1)^2 - 3(-1) + 1
h(-1) = -2(1) + 3 + 1
h(-1) = 2
f(2) = (2t + 7)/(t - 3)
f(2) = (2*2 + 7) / (2 - 3)
f(2) = 11/-1
f(2) = - 11
Be very careful how you handle this. The way I have done it will work, but it does not work all the time.
The sure way to handle this is to put(h(n)) every place you can on the right side of f(t)
f(h(n)) = (2(h(n) + 7)) / (h(n) - 3)
Lesson Check (5.NF.A.1)
1. What is a rule for the sequence?
5/6, 1 1/2, 2 1/6, 2 5/6
simplify ( 3/4)2
A. 3/4
B. 6/8
C. 9/16
D. 2 1/4
Answer:
answer is C
Step-by-step explanation:
(3/4)(3/4)= 9/16
Rational numbers
3x - 30 using 3 as one factor
Answer:
3x - 30
3 (x-10)
Wish you a great day :)
Evelyn has a summer babysitting job that pays $12 per hour. She wants to know how many hours she has to babysit to afford a new bike. The bike she wants costs $120.
Answer:
10
Step-by-step explanation:
You just gotta do 120/12 which is 10
At a pizza place, a large pizza cost $7.50 and toppings cost $0.50 each. Write an equation the can be used to represent the cost of a pizza, y, which x toppings.
Answer:
y = 7.50 + 0.50x
Step-by-step explanation:
y is equal to money cost for pizza, 7.50 is the large pizza, and 0.50x is the cost per topping on the pizza.
Find the area of the composite figure
10
18
2
2
Answer
720
Step-by-step explanation:
10 x 18 = 180
2 x 2 = 4
180 x 4 = 720
Please answer soon!!!
Answer:
sorry but the standard is higher in than of that of my standard
apologize for the mistake
help me .
please.
have a great day
Answer: C
Step-by-step explanation: