Answer:
In exponential form, the correct answer is [tex]3^{13}[/tex].
Step-by-step explanation:
When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].
help me please. what is the solution for
4≤n−4
Answer:
n[tex]\geq[/tex]8
Step-by-step explanation:
You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.
[tex]4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8[/tex]
3 + 2a - 7x + 2.5 + 5x
help pls and thank u
Answer:
2 a − 2 x + 5.5
Step-by-step explanation:
Answer:
5.5+2a_2x
Step-by-step explanation:
we add the numbers 3+2.5
louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax
Please no links . What’s the answer ?
Answer:
600 square feet
Step-by-step explanation:
I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:
20 * 30 = 600, our final answer
Hope it made sense. I would appreciate Brainliest, but no worries.
Find the length of the third side. If necessary, round to the nearest tenth.
8
7
any one who tells me what 2+2 is you get brainiest
yalls lucky im feeling nice today btw just put anything as a answer and ill but brainiest
Answer:
4
Step-by-step explanation:
ty
hav meme
Answer:
2 + 2 = 4
Step-by-step explanation:
Can I get brainliest mademoiselle?
Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
?
(b) How many ways can this be done, if the order of the choices is not relevant?
Answer:24 , 4
Step-by-step explanation:
Given
There are 4 objects
(a)When the order is relevant
We use permutation to get the no of ways, that is
Choosing 3 objects out of 4
[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]
(b) When the order is not important, the same thing can be done in
[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]
What is the area of the circle? I need help please!
Answer:
Area is π(Pi) × Radius².
Soo, 3,14×5×5=78,54
I hope this is right
The number 360 has many factors. This may be why it was chosen for the number of degrees in a full turn
Answer:
Due to having 24 divisors.
Step-by-step explanation:
360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.
In 2.5 hours, 0.64 inch of rain fell. At about what rate did the rain fall? A 0.18 inch per hour 8 0.26 inch per hour 0 0.32 inch per hour D 1.60 Inches per hour
Answer:
0.26 per Hour
Step-by-step explanation:
0.26x2=0.52
0.26/2=0.13
0.52+0.13=0.65
0.65 is the closest to your question
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?
Answer:
The sample space is 29........
an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?
Answer:
The average speed between the times given is 12 m/s
Step-by-step explanation:
Here, we want to calculate rate of change between the times given
Mathematically , we can get the average rate of change using the formula
f(b)-f(a)/b-a
in this case, b = 10 s and a = 5 s
f(b) is d(10) = 0.8(10)^2 = 80
f(a) is d(5) = 0.8(5)^2 = 20
Rate of change is thus;
(80-20)/(10-5) = 60/5 = 12 m/s
Consider right triangle △ABC below.
Which expressions are equivalent to sin(∠B)?
Choose two answers:
A: tan(∠A)
B: length of side adjacent to ∠A/length of hypotenuse
C: sin(∠A)
D: AC/AB
Answer:
Khan academy
Step-by-step explanation:
The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.
For the given situation,
From the diagram,
The right angle is at ∠C, so opposite to that side is hypotenuse.
If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.
Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]
⇒ Sin∠B = [tex]\frac{AC}{AB}[/tex]
From the options, now check which options is equivalent to Sin∠B,
Option (A): tan(∠A)
Now, consider the angle at ∠A,
so, [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]
⇒ [tex]tan(\angle A) =\frac{CB}{AC}[/tex]
Option A is not equivalent to sin(∠B).
Option (B): length of side adjacent to ∠A/length of hypotenuse
⇒ [tex]\frac{AC}{AB}[/tex]
Option B is equivalent to sin(∠B).
Option C: sin(∠A)
[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]
Option C is not equivalent to sin(∠B).
Option D: AC/AB
Option D is equivalent to sin(∠B).
Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.
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The table and the graph show the population of a country between 2010 and 2015.
b. The average rate of population growth between 2013 and 2015 is 0.35 million
people per year. If the population continues to grow at this rate, in which year will
it reach 40 million? Explain your reasoning.
Answer:
I wanna say in the year of 2018.
Step-by-step explanation:
In 2018 the population will reach 40 million.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let us consider x years later it would reach 40 million.
So, 39.1 + 0.35 x = 40
0.35x= 40- 39.1
0.35x= 0.9
x= 2.57
x= 3 years
Hence, In 2018 the population will reach 40 million.
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1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
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you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following: a) compounded semiannually b) compounded monthly
Answer:
semiannually = $1609.77
monthly = $1128.71
Step-by-step explanation:
Can anyone help me with 6? Please
Answer: (2)
Step-by-step explanation: y=18(0.75) 0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.
Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in the box?
Complete Question
Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?
Answer:
88 new pens
Step-by-step explanation:
The ratio of new pens : Old pens = 4:7
Sum of Proportion = 4 + 7 = 11
Total number of pens = 242 pens
The number of new pens is calculated as:
4/11 × 242 pens
= 88 new pens
Therefore, the number of new pens = 88 new pens
Find the volume of the prism?*
Answer:
The volume is 210 cm³
Step-by-step explanation:
The way to solve volume is LxWxH, so you would do 6x5x7 and you get 210.
please help HEYMLMUM
Answer:
J
Step-by-step explanation:
Solve the quadratic equation by factoring.
4x² - 20x + 28 = 3
A) x = 5
B) x = 5/2
C) x = 2/5
D) x = - 5/2
Answer:
B) x = 5/2
Step-by-step explanation:
subtract 3 from each side to get:
4x² - 20x + 25 = 0
this is the difference of 2 squares:
(2x -5)² = 0
one solution, x = 5/2
Answer:
B) x = 5/2
Step-by-step explanation:
4x² - 20x + 28 = 3
Move terms to the left side
4x² - 20x + 28 - 3 = 0
Subtract the numbers
4x² - 20x + 25 = 0
Use the quadratic formula
[tex]x =\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
4x² - 20x + 25 = 0
a = 4
b = -20
c = 25
x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]
Evaluate the exponent
x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]
Multiply the numbers
x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]
Subtract the numbers
x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]
Evaluate the square root
x = [tex]\frac{20+0 }{2x4}[/tex]
Add zero
x = 20 / 2 x 4
Multiply the numbers
x = 20 / 8
Cancel terms that are in both the numerator and denominator
x = 5/2
Find the missing side lengths.
Can someone please help???
Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degreesUsing this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degreesNow, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangleThat means that both legs of the triangle must be congruent (x = y)Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
Find the arithmetic and the geometric means of 5 and 125
Answer:
Arithmetic Mean: 65
Geometric Mean: 25
Step-by-step explanation:
Arithmetic Mean Formula: Sum / # of values
(5 + 125) / 2
130 / 2
65
Geometric Mean Formula: √Product of the values
√(5*125)
√625
25
Giving brainliest for the correct answer
Answer:
8
Step-by-step explanation:
all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal
Answer:
8 in.
Step-by-step explanation:
Perimeter of square = 4l = 4 * 2 =. 8 in.
5 is 5% of what number?
Answer:
100
Step-by-step explanation:
jared and zach worked all day saturday mowing lawns they earned a combined of $43 how much did each boy get
Answer:
$21.50
Step-by-step explanation:
M(-5,2) and N(5,2) are the endpoints of the sedment MN on the cordinate plane what is the length of MN
Answer:
10 units
Step-by-step explanation:
Given data
The points are
M(-5,2) and N(5,2)
x1=-5
y1= 2
x2=5
y2= 2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((5-(-5))²+(2-2)²)
d=√10²+0²
d=√100
d=10
Hence the distance is 10 units
what is the height of the object at the time of the launch?
Answer:
100 meters!
Step-by-step explanation:
TIME REMAINING
01:59:41
What is the length of the other diagonal, DF?
Sofia cuts a piece of felt in the shape of a kite for an art
project. The top two sides measure 20 cm each and the
bottom two sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w
Answer:
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Then that means diagonal DF = DA + FA
= 5 + 16
= 21cm
Step-by-step explanation:
The value of the other diagonal DF is 21.66 cm.
What is Pythagoras Theorem?The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.
Given:
The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.
EG= 24 cm.
As, Diagonal ED divides the diagonal DF into two equal parts.
Now, Using Pythagoras theorem in triangle DOG
x²/4 + y² = 13²= 169
and, Using Pythagoras theorem in triangle EOD
x²/4 + (24 -y)² = 20²= 169
x²/4 + 576 -48y+ 169 - x²/4 = 400
-48y= -345
y= 7.1785
now, y²= 169 - x²/4
51. 6601 = 169 - x²/4
x/2 = 10.83
x = 21.66 cm
Thus, the other diagonal DF is 21.66 cm.
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Express as a trinomial.
(2x – 9)(3x +4)
Answer:
5x^2-19x-36
Step-by-step explanation:
(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)
5x^2 + 8x - 27x - 36
5x^2 - 19x - 36
Expression as a trinomial is 6x² -19x -36.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
(2x – 9)(3x +4).
To express as a trinomial:
(2x – 9)(3x +4),
= 6x² -27x + 8x -36
= 6x² -19x -36
Trinomial is a quadratic function.
Therefore, as a trinomial is 6x² -19x -36.
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