The given expression (9×10^−3)+(2.4×10^−5)÷0.0012 equals 2.9x10^-2 in scientific notation. The division operation was performed first and added to 9x10^-3, demonstrating the usefulness of scientific notation in simplifying arithmetic.
Explanation:In order to evaluate the given expression (9×10^−3)+(2.4×10^−5)÷0.0012, you first need to perform the operations in parentheses which is the standard form of the expression to simplify it. Next, we must remember the order of mathematical operations, also known as BIDMAS or PEMDAS in mathematics: Brackets (or Parentheses), Indices (or Exponents), Division, Multiplication, Addition, and Subtraction.
However, in this expression we only have addition and a division to perform. The division operation takes precedence over addition, thus we first divide 2.4×10^−5 by 0.0012. The result of this can then be added to 9×10^−3. Let's perform these calculations:
2.4×10^−5 ÷ 0.0012 = 2×10^−2(9×10^−3)+(2×10^−2)= 0.029 or 2.9x10^-2 in scientific notationSo, the evaluated expression equals 2.9x10^-2 in scientific notation. This is a simplification of arithmetic using scientific notation, which helps to easily handle very large or very small numbers.
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The price of a stock had a change of –3 dollars.
Explain how you would use a number line to find the absolute value of –3
PLEASE HELP???!!!!!
A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot
A sample mean is the best point estimate of :
a- population range.
B- population mean .
C- population mode .
D- population standard deviation.
There are 60 office suites in a downtown building. For how many office suites does company C service the computers? -Company A services the computers at 1/3 of the office suites -Company B services the computers at 2/5 of the office suites
Answer:
16
Step-by-step explanation:
can someone help me find the volume of these?
Simplify ten to the sixth divided by ten to the negative third.
Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)
Of cd =9 what is lm?
The value of LM = 6.
Let's break down the given transformations for each point:
1. Original point: [tex]\( (x, y) \)[/tex]
2. First transformation: [tex]\( (x+3, y-2) \)[/tex]
3. Second transformation: [tex]\( \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) \)[/tex]
Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]\( \frac{2}{3} \)[/tex], as the second transformation involves scaling by [tex]\( \frac{2}{3} \)[/tex].
[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]
Therefore, LM = 6.
Can someone help me find the volume
Dilation ( effects of changing dimensions on perimeter and area)
A company that makes square tiles would like to make a square tile that has 4 times the area of their smaller tiles. if their smaller tiles have a perimeter of 16 inches. What will be the perimeter of their larger tile?
A- 8 in.
B- 32 in.
C- 64 in.
D- 256 in.
To make a tile with four times the area, the side length of the square is doubled. Thus, the perimeter of the larger tile, which is four times the side length, will be 32 inches.
Explanation:The student is asked to determine the perimeter of a larger square tile if the company wishes to increase the area by 4 times, using a smaller square tile with a perimeter of 16 inches as a reference. The side of the smaller square tile can be calculated by taking the perimeter and dividing it by 4, which equals 4 inches. If we want a square with 4 times the area, it means that each side is doubled, therefore the length of the side of the larger square is 2 x 4 = 8 inches. To find the perimeter of the larger square, we multiply the side length by 4 (since a square has four equal sides), i.e., 8 x 4 = 32 inches. Therefore the perimeter of the larger tile will be 32 inches.
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A farmer was dividing up his one third of an acre of land between his 5 children. Since each child got the same amount of land, what fraction of the acre did each get
The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?
To find the length of the smaller leg of the right triangle, we can use the Pythagorean theorem and solve the equation.
Explanation:Let x be the length of the smaller leg of the right triangle. The larger leg is 3 cm longer, so its length is x + 3. The hypotenuse is 6 cm longer, so its length is x + 6.
According to the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have the equation: x^2 + (x + 3)^2 = (x + 6)^2.
Solving this equation will give us the value of x, which is the length of the smaller leg.
The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?
Answer:
6.5
Step-by-step explanation:
I swear it is. Just trust me!
Rewrite this function in the form that reveals the minimum of the function.
c(p)=p^2-28p+250
After 5.75 hours, Kyler had finished painting 62.5% of his house. He needs to paint a total of 4,000 square feet on his house. At what rate, in square feet per hour, does he paint
help plz 5 points! plzz
Kenji invests $3,500 at an interest rate of 3%, compounded monthly. How much is the investment worth at the end of 5 years?
Answer is $4,065.66
Compound Interest:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
(Given),
P = $3,500
r = 3% = 3/100 = 0.03
n = 12 (As there are 12 months in a year)
t = 5 years
=> 3,500 x [tex](1+\frac{0.03}{12} )^{12 X 5}[/tex]
=> 3,500 x (1.161616)
=> $4065.658 = $4065.66
So, The answer is $4065.66
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what is 50,003,087 in expanded form
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
Answer:
$10,800
Step-by-step explanation:
bill: $1,450
She's billed 3 times a year: 1,450x3= $4,350
She,s going to college for 2 years: 4,350x2= $8,700
$8,700 total for the classes itself
Books: $350
She has to buy books for each trimester: 350 x 3 = 1,050
She attends school for 2 years: 1,050 x 2 = 2,100
Total tuition plus the cost of books is $8,700 + $2,100 = $10,800
total cost for degree: $10,800
Mark earns $135 for selling a $1,500 refrigerator. Which sale listed has the same commission rate? A) $36 commission on a $400 dryer sale B) $40 commission on a $500 dryer sale Eliminate C) $210 commission on a $1,400 oven sale D) $30 commission on a $600 freezer sale
$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Mark procures $135 for selling a $1,500 fridge.
The commission rate remains constant. Then the commission rate is given as,
Commission rate = 135 / 1500
Commission rate = 0.09
Let's check all the options, then we have
A) $36 commission on a $400 dryer sale. Then the commission rate is given as,
Commission rate = 36 / 400
Commission rate = 0.09
$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.
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Point Q is located at (-4, 6) Point R is located at (8, 6) What is the distance from point Q to point R?
The distance from point Q to point R is 12 units.
The given coordinates are Q(-4, 6) and R(8, 6).
We need to find what is the distance from point Q to point R.
What is the formula to find the distance between two points?The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Now, using the distance formula, we get
Distance=√(8+4)²+(6-6)²
=√144=12 units
Hence, the distance from point Q to point R is 12 units.
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A pond has 60 fish
27 were carp and the rest were tench
10 fish were added
The probability that a fish picked at random is a carp is now 1 half
How many tench were added?
lcm of (x-2)(x+3) and 10(x+3)^2
fred has 10 coins in a book bag. He has 4 quarters, 1 penny, and 5 dimes. If Fred reaches into his book bag and draws a coin without looking, what is the probability that he will draw a quarter?
A family is trying to pick from different shades of paint for their living room. They have narrowed it down to three different blues and six different greens.
The family decides to just randomly select a color from these. What is the probability they will pick a shade of Blue.
answer the question in decimal form to the nearest percent.
PLEASE HURRY!!!
How is the expression (5 + y) ⋅8 described by its factors and terms?
It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.
Answer:
D It has two factors and the factor (5 + y) has two terms
Step-by-step explanation:
Did the test
Hope you have a wonderful day :)
Good luck on your test :D
what is the standard form
[tex]f(x) = (2x - 1)(x - 5)[/tex]
Which expression is equivalent to 6p + 6p?
A. 12p
B. 36p
C. 12 + 2p
D. p6
Answer:
12p
Step-by-step explanation:
cause 6p+6p= 12p
The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = -20c^2 + 320c + 5120. What is the maximum profit the company can make from the product?
the maximum profit the company can make from the product is $6400.
To find the maximum profit the company can make from the product, we need to determine the price \( c \) that maximizes the profit function[tex]\( P(c) = -20c^2 + 320c + 5120 \).[/tex]
The maximum or minimum point of a quadratic function in the form [tex]\( ax^2 + bx + c \)[/tex] occurs at the vertex of the parabola. For a quadratic function [tex]\( f(x) = ax^2 + bx + c \)[/tex], the x-coordinate of the vertex is given by [tex]\( x = -\frac{b}{2a} \).[/tex]
In your case, the profit function is[tex]\( P(c) = -20c^2 + 320c + 5120 \)[/tex], where ( a = -20 ) and ( b = 320 ). Using the formula for the x-coordinate of the vertex:
[tex]\[ c_{\text{max}} = -\frac{b}{2a} = -\frac{320}{2(-20)} = -\frac{320}{-40} = 8 \][/tex]
So, the price ( c ) that maximizes the profit is $8.
To find the maximum profit, substitute ( c = 8 ) into the profit function:
[tex]\[ P(8) = -20(8)^2 + 320(8) + 5120 \]\[ P(8) = -20(64) + 2560 + 5120 \]\[ P(8) = -1280 + 7680 \]\[ P(8) = $6400 \][/tex]
Therefore, the maximum profit the company can make from the product is $6400.
just answer no need to explain lol
classify the expression 2x-x+5