Answer:
A. 3.5 × 100
Step-by-step explanation:
( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )
(7×5) ×10^(5+(-4))
(7×5) × 10^(5-4)
35 × 10
350
350 is equivalent to 3.5 × 100
Standard form , or standard index form, is a system of writing numbers which can be particularly useful for working with very large or very small numbers.
It is based on using powers of 10 to express how big or small a number is.
Standard form uses the fact that the decimal place value system is based on powers of 10:
10^0 = 1
10¹ = 10
10² = 100
10³ = 1000
10⁴ = 10,000
In laws of indices a² × a³ = a^(2+3)
Expression for the calculation the sum of the product of 4 and 3 and 1 and 1
Answer:
(4 × 3) + (1 × 1)
Step-by-step explanation:
Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.
Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.
You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.
Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).
PROBABILITY DISTRIBUTIONS?? Do anyone know how to find probabilities??
Probability of more than 3 = 0.25
Solution:
Given table shows the pitches, frequency and probability of pitches.
P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1
To find the probability that the pitcher will throw more than 3 pitches.
Probability of more than 3 pitches = P(x > 3)
= P(x = 4) + P(x = 5)
= 0.15 + 0.1
= 0.25
P(x > 3) = 0.25
Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.
Final answer:
Probability distributions are used to assess the likelihood of different outcomes in a given set of data. To find probabilities, you need to determine the type of probability distribution and use the appropriate formulas or tables.
Explanation:
Probability distributions are used to assess the likelihood of different outcomes in a given set of data. They can take different shapes depending on the nature of the population. One common type of probability distribution is the normal distribution, which represents a bell curve.
To find probabilities using a probability distribution, you can follow these steps:
Determine the type of probability distribution you are dealing with, such as binomial or normal.Identify the values or events for which you want to find probabilities.Use the appropriate formulas or tables to calculate the probabilities, considering factors such as mean and standard deviation.The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many seahorses are there.
Answer:
[tex]4\ sea\ urchins[/tex]
Step-by-step explanation:
The correct question is
The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.
Let
x ----> the number of seahorses
y ----> the number of sea urchins
we know that
The number of seahorses is 4 times the number of sea urchins
so
[tex]x=4y[/tex] -----> equation A
There are 16 seahorses
so
[tex]x=16[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]16=4y[/tex]
solve for y
divide by 4 both sides
[tex]y=16/4\\y=4\ sea\ urchins[/tex]
Answer:
4.
Step-by-step explanation:
if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.
Simplify. (x^4)^3
Write your answer without parentheses.
Answer:
x^12
Step-by-step explanation:
The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of the missing side of the farmyard (round to two decimal places). A) 17.00 feet B) 27.00 feet C) 32.15 feet D) 46.77 feet
Answer:
D
Step-by-step explanation:
its D for sure
Answer:
d
Step-by-step explanation:
46.77 feet Use the Pythagorean theorem.
Wills,Donald, and Maya found a quarter, a dime, a nickel, and 2 pennies when they were cleaning the house. They traded their dad for some other coins that were worth the same amount of money and split it evenly. How much did they get
What is the answer to -2(3x+2)=2x+6
Answer:
x=-5/4
Step-by-step explanation:
-2(3x+2)=2x+6
-6x-4=2x+6
-6x-2x-4=6
-8x-4=6
-8x=6+4
-8x=10
x=10/-8
x=-10/8
simplify
x=-5/4
Solve the linear equation for y. -5x+y=7
Answer:
5x+7
Step-by-step explanation:
can someone answer this with work :)
Answer:
A15+B10=cents
Step-by-step explanation:
Please help I will mark brainliest
Answer:
10
Step-by-step explanation:
The square length of hypotenuse is equal to two sides' length square added together
C = 10^2 + 7.5^2 = √156 approximately 12.5
The answer is 10 if needed to round to nearest tenth.
The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?
Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?
If the measure of an angle is 135°,
then the measure of its supplement is 45°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.
Final answer:
The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.
Explanation:
The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:
Identify the measure of the given angle (135 degrees).Subtract the measure of the given angle from 180 degrees: 180 degrees - 135 degrees = 45 degrees.The measure of the supplementary angle is therefore 45 degrees.A playground is in the shape of a square. If the perimeter of the playground is 40 feet, find the diagonal distance across the park. Leave your answer in radical form
The length of diagonal of park is √200 feet.
Step-by-step explanation:
Given,
Perimeter of square playground = 40 feet
Let,
a be the length of one side.
Perimeter = 4a
[tex]4a=40\\\\a=\frac{40}{4}\\\\a=10[/tex]
Length of one side of square is 10 feet.
A diagonal will form a right triangle, where,
Diagonal = c
a = 10
b = 10
Using pythagoras theorem
[tex]a^2+b^2=c^2\\(10)^2+(10)^2=c^2\\100+100=c^2\\200=c^2\\c^2=200[/tex]
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{200}\\c=\sqrt{200}[/tex] feet
The length of diagonal of park is √200 feet.
Keywords: perimeter, square
Learn more about perimeter at:
brainly.com/question/9045597brainly.com/question/8955867#LearnwithBrainly
Answer:
10√2 (Simplest Radical Form)
Step-by-step explanation:
While Absor201 got √200, it is still not in simplest radical form. If you got this question from MathNation, then 10√2
just 3 math problem show step by step
1 5x+y=-12
5x-7y=4
2. -5x+4y=-3
-9x-y=-30
3. -9x+6y=27
-x+3y=10
please help me out
Answer:
see attached picture please
How many solutions does this system have? y = 3/4x - 5. - 3 x + 4 y = - 20.
Answer:
infinite
Step-by-step explanation:
Savanah solved the equation 3 + 4|3 plus 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 11. + 3| = 11 for one solution. Her work is shown below:
Answer:
x=-2 OR x=-10 i.e.
Solution Set = {-2,-10}
Step-by-step explanation:
The equation described in words is typed and solved below:
[tex]3+4|\frac{x}{2}+3|=11 \\4|\frac{x}{2}+3|=11-3\\4|\frac{x}{2}+3|=8\\|\frac{x}{2}+3|=\frac{8}{4} \\|\frac{x}{2}+3|=2\\\frac{x}{2}+3=2 OR \frac{x}{2}+3=-2\\\frac{x}{2}=2-3 OR \frac{x}{2}=-2-3\\\frac{x}{2}=-1 OR \frac{x}{2}=-5\\x=-2ORx=-10\\[/tex]
Answer:
it is -10
Step-by-step explanation:
Jared made 12 3/4 cups of snack mix for cups of snack mix for a party. His guests are 2/3 of the mic. How much snack mix did his guests eat.
a. 4 5/12
b. 4 1/2
c. 8 1/2
d 12 5/7
Answer:
8 1 /2
For this we need to determine what
2 /3 of 12 3/4 is, so we multiply the fractions together.
Find the slope of each set of points.
a.) 4, 3 and -3, 4 b.) -2, 0 and (8, -4)
Answer:
1. (4, 3) and (-3, 4) has Slope = -1/7
2.(-2, 0) and (8, -4) has Slope = -2/5
Step-by-step explanation:
If two such points (a,b) and (c,d) are given, then the slope S is given as:
[tex]S = (\frac{d-b}{c-a} )[/tex]
Now here, the given set of points are:
1. (4, 3) and (-3, 4)
Here, the slope S = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]
⇒ S = -1/7
1. (-2, 0) and (8, -4)
Here, the slope S = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]
⇒ S = -2/5
12. Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal.
a. Write an algebraic equation to represent the situation.
b. What is Noah's fundraising goal?
To represent the situation algebraically, we use the equation 54 = 0.60G, and solving it gives us Noah's fundraising goal of $90.
Let's represent Noah's fundraising goal as G. According to the problem, Noah has raised $54, which is 60% of his goal. This situation can be translated into the algebraic equation:
54 = 0.60GTo find Noah's fundraising goal (G), we can divide both sides of the equation by 0.60:
G = 54 ÷ 0.60G = $90Therefore, Noah's fundraising goal is $90.
An equation for the depreciation of a car is given by y = A(1-r), where y = current value of the car, A = original cost, r = rate
of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and
depreciates at a rate of 15% per year. How old is the car?
Answer:
Step-by-step explanation:
y = A(1 - r)^t......y = value of car after t years.....A = original cost....r = rate of depreciation.....t = time in years
y = 12,282.50
A = 20,000
r = 15% = 0.15
12,282.50 = 20,000(1 - 0.15)^t
12,282.50 / 20,000 = 0.85^t
0.614125 = 0.85^t
log 0.614125 = t * (log(0.85))
t = (log 0.614125) / (log 0.85)
t = 3 <=== 3 years old
Answer:
C. 3 years
Step-by-step explanation:
I can confirm that the answer to your question is C.
The system of equations is graphed on the coordinate plane.
y=−12x−1y=14x−4
Enter the coordinates of the solution to the system of equations in the boxes.
(
,
)
A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).
Answer:
Step-by-step explanation:
y = -12x - 1
y = 14x - 4
-12x - 1 = 14x - 4
-1 + 4 = 14x + 12x
3 = 26x
3/26 = x
y = 14x - 4
y = 14(3/26) - 4
y = 42/26 - 4
y = 42/26 - 104/26
y = - 62/26 reduces to - 31/13
solution : x = 3/26 and y = -31/13 or (3/26,-31/13)
Can someone show me how to do this please?
⦁ A sculptor is planning to make two triangular prisms out of steel. The sculptor will use for the bases of one prism and for the bases of the other prism.
⦁ Is similar to ? Explain.
⦁ Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work.
Answer:
Answer:
they are similar as the enlargement has a scale factor divide it then woke it out
I am in the middle of a test! Will give brainliest and 30 points!!!!
It’s a circle has a circumference of a 28 Π centimeters (cm) then what is it’s area in centimeters squared?
Answer:
3.14 x 4.46^2= 62.39 square centimeters
Step-by-step explanation:
What is the simplified expression of 8 times y times 9
Answer:
72y
Step-by-step explanation:
Multiplication can be done in any order
8x9=72
72 times y is 72y
how many positive integers have a value between the square root of 8 and the square root of 72?
Answer:
6 numbers
Step-by-step explanation:
Note that [tex]4<8<9,[/tex] then
[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]
and [tex]64<72<82,[/tex] then
[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]
List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]
[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]
Hence, there are 6 such numbers
An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.
2× + 16 = 92
How many double-occupancy apartments are currently rented?
38 double-occupancy apartments are currently rented
Solution:
Given that, apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant
Number of apartments with one occupant = 16
Number of apartments with two occupants = x
The apartment building has 92 total occupants
Therefore, we frame a equation as,
Number of apartments with one occupant + 2 x Number of apartments with two occupants = 92
[tex]16 + 2 \times x = 92[/tex]
16 + 2x = 92
Solve the above equation for "x"
2x = 92 - 16
2x = 76
x = 38
Thus 38 double-occupancy apartments are currently rented
Final answer:
To determine the number of double-occupancy apartments that are currently rented, we solve the equation: 2x + 16 = 92. After simplifying, we find that there are 38 double-occupancy apartments rented.
Explanation:
To determine the number of double-occupancy apartments that are currently rented, we need to solve the equation: 2x + 16 = 92.
First, we subtract 16 from both sides of the equation: 2x = 76.
Next, we divide both sides of the equation by 2 to isolate x: x = 38.
Therefore, there are 38 double-occupancy apartments currently rented.
I will mark brainliest
Answer:
A) 2x+50
Step-by-step explanation:
First, let's make a variable for each person
Sam = x
Hector = h
Ted = t
Gina = g
We know that Hector has twice the amount hat Sam has so his equation is
h = 2x
We know that Ted has 100 more than Hector so his equation is
t = h + 100
Gina has 50 less than Ted to she has
g = t - 50
Since we need to find out how much Gina has using units of Sam the equation will be
g = 2x + 100 - 50 or simplified g = 2x + 50
What is 6/6 equivalent to
Answer:
1 whole
Step-by-step explanation:
Answer:1
Step-by-step explanation:You have 6 sixths. That means it is a whole number
95-a (b+c) when a=9, b= 3, and c = 7.4
Step-by-step explanation:
95-a (b+c)
95-9 (3+7.4)
95-9×10.4
95-93.6
=1.4
Answer: 894.4
Step-by-step explanation:
95-9(3+7.4)
⬇️
95-9 (10.4)
⬇️
86(10.4)
⬇️
894.4
Which system of equations has exactly one solution? 2 x - 4 y = 8. x + y = 7. 3 x + y = - 1. 6 x + 2 y = - 2. 3 x + 3 y = 3. -6 x -6 y = 3. 3 x - 2 y = 4. - 3 x + 2 y = 4.
Answer:
A) is the correct answer (6,1)
Step-by-step explanation:
Find the equation of the line normal to the curve of y=cos1/3x, where x=pi
Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.
The equation of the line normal to the curve of y=cos(1/3)x, where x=pi, can be found by taking the negative reciprocal of the derivative of the curve at that point and using the point-slope form of a line.
Explanation:The equation of the line normal to the curve of y=cos(1/3)x at x=pi can be found by taking the negative reciprocal of the derivative of the curve at that point.
The derivative of cos(1/3)x is -sin(1/3)x*(1/3).
At x=pi, the derivative is -sin(pi/3). Taking the negative reciprocal of this gives the slope of the line normal to the curve
So the slope is 1/ tan(pi/3).
Now, we can use the point-slope form of a line to find the equation of the line.
The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope.
Plugging in the values, we get y - cos(pi/3) = (1/tan(pi/3))(x - pi).
Simplifying further will give us the equation of the line normal to the curve at x=pi.