Answer:
4.2×10to the 6th or 4,200,000
Step-by-step explanation:
First you have to know that you are multiplying these two numbers. When you multiply exponents like there you add the matissa's (6&7) and add the exponents.
6×10to the 2 * 7×10to the 3rd
42 × 10to the 2+3
42×10to the 5th
Something else you need to know is your matissa cant be higher than 10
So:
4.2 × 10to the 6th is your answer
The sample contains 42 × 10⁵ red blood cells.
What happens when same base is multiplied ?When same base is multiplied their powers gets added.
For example - a×a×a×a×a×a = a⁶.Here a has nothing in it's power means it has 1 to it's power.
According to the given question
For every 1 while blood cells an average person has 6x10² times as many red blood cells.
A small sample of blood contains 7 × 10³ white blood cells.
∴ The amount of red blood cells in the sample is
= (7 × 10³)(6× 10²) red blood cells.
= (7×6)(10³×10²)
= 42 × 10⁵ red blood cells.
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The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sales on the two instruments, find the price of a trumphet.
Answer:
$ 159.95
Step-by-step explanation:
139.95 x 19 = 2,659.05 In total the 19 clarinets = $ 2,659.05
$ 4,578.45 - $ 2,659.05 = $ 1919.40 In toal the 12 trumpets are = $ 1,919.40
$ 1,919.40 ÷ 12 = $ 159.95 The trumpets cost $ 159.95 each.
Hope this helps you out : )
If the music store sold 12 trumoets and 19 clarinets last month and clariners sell for $139.95 and the store made $4,578.45. The price of a trumpet is $159.95.
What is the price?Let's denote the price of a trumpet as "t" dollars.
The revenue from trumpet sales would be 12 times the price of a trumpet (12t) and the revenue from clarinet sales would be 19 times the price of a clarinet ($139.95):
Revenue from trumpets + Revenue from clarinets = Total revenue
12t + 19 * $139.95 = $4578.45
Now solve for the price of a trumpet (t):
12t + 19 * $139.95 = $4578.45
12t + $2659.05 = $4578.45
12t = $4578.45 - $2659.05
12t = $1919.4
t = $1919.4 / 12
t ≈ $159.95
Therefore the price of a trumpet is $159.95.
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what is the next function of 0,6,24,120,210
Answer:
240
Step-by-step explanation:
9. Which number is rational?
(1) Square root of
(2) pi (symbol)
(3) 5 square root 9
(4) 6 square root 2
Answer:
5 square root 9
Step-by-step explanation:
A rational number is a number that can be put in fraction form.
You can easily take the square root of 9 to get 3, which you can multiply by 5 to get 15.
Since you can make 15 into 15/1, which is a fraction, it is rational.
what is the value of the digit 3 in 20320
300
Step-by-step explanation:
It’s in the hundreds place
Kevin, Michael and Darren all do their own laundry at home. Kevin does his laundry every 9 days, Michael every 10 days, and Darren every 12 days. If they all did their laundry today, in how many days will the three of them all do their laundry again on the same day?
A. 100 Days
B. 144 Days
C. 180 Days
D. 212 Days
Answer:
In 180 days the three of them will do their laundry again on the same day.
Step-by-step explanation:
we need to find the least common factor or 9, 10 and 12:
LCM(9, 10, 12) = 180
PICTURE ATTACHED please help
Answer:
[tex]6.73 \times {10}^{ - 8} [/tex]
Step-by-step explanation:
7.4 × 10 ^-8 - 6.7 × 10^-9
= 7.4 × 10^-8 - 0.67 × 10^-8
= (7.4 - 0.67) × 10^-8
= 6.73 × 10^-8
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What is the result when the number 25 is increased by 20%?
Answer:
30
Step-by-step explanation:
First find 20% of 25
25 x .20 = 5
Then add the product to the original number
25 + 5
Your answer is 30.
How do you solve (3+7i)(2-5i)and put it in standard form?
Answer:
41 - i
Step-by-step explanation:
note that i² = - 1
Given
(3 + 7i)(2 - 5i) ← expand the factors using FOIL
= 6 - 15i + 14i - 35i² ← collect like terms
= 6 - i + 35
= 41 - i ← in standard form
2.3.7
Solve x - 9y = 17 for y.
y=
(Use integers or fractions for any numbers in the expressions
Answer:
x - 9y = 17
x - 17 = 9y
( x - 17)/9 = y
-8-n = -3(2n - 4)
Please help
Answer:
n=-2n-12
Step-by-step explanation:
Distribute the -3 to 2n-4, which equals -6n+12. Putting your whole equation back together, you will have -8-n=-6n+12. If you add 8n over to the other side, your equation becomes -n=2n+12. Now all you have to do here is divide the negative from -1 thats in front of n from 2n+12, making your answer n=-2n-12.
To solve the linear equation -8 - n = -3(2n - 4), we distribute, combine like terms, and isolate the variable to find that n = 4.
The equation presented, -8 - n = -3(2n - 4), is a linear equation where the goal is to solve for the variable n. We start by simplifying and rearranging the equation to isolate n on one side. To solve the equation:
Distribute the -3 through the parentheses on the right side: -8 - n = -6n + 12.
Move all terms involving n to one side by adding 6n to both sides: -8 + 6n - n = 12.
Combine like terms: -8 + 5n = 12.
Next, add 8 to both sides to isolate the term with n: 5n = 20.
Finally, divide both sides by 5 to solve for n: n = 4.
Mike works two part time jobs while going to college. He works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. Work each of the following problems in decimal form. 1. How much does Mike earn a week before taxes are taken out of his paycheck? 2. If 22 percent of Mike’s paycheck is withheld for taxes, how much money is left for Mike? 3. At which Job does Mike earn the most before taxes, how much more? 4. If Mike spends $50 a week on entertainment, what percent of Mike’s paycheck is left after he pays taxes? In decimal form.
Answer:
Step-by-step explanation:
So 10.55$ for an hour at the ice-cream store, and he works 8 hours.
So 8 * 10.55$ because he earns 10.55$ eight times, since he works 8 hours;
then, you would get $84.40 for a week at the ice-cream store.
Now he earns 13.85$ per hour at the movie theater, for a total of 7 hours.
Again, 13.85$ * 7 since he earns 13.85$ 7 times (7 hours); he gets $96.95 for a week at the movie theater.
1. so we want to know how much does mike earn a week, which basically means how much money did he earn in total during the week working at two jobs?
so you just add what you calculated, you get $181.35 in total.
2. So we want to know how much he has left after 22 percent of the total amount of money that he earned is taken away, due to taxes.
So we want to know how much is 22 percent of the total, so $181.35 * 22% = $39.89
So now we know that $39.89 is 22 percent of the total amount ($181.35), and we know that it is taken away from us, so we subtract $39.89 from $181.35, and you would get $141.46.
So, $141.46 is the amount of money left for Mike after paying his taxes.
3. So we want to know which jobs pays him more before paying the taxes. According to the first question, he earns $84.40 a week at the ice cream store, and $96.95 a week at the movie theater. So, obviously the movie theater pays him more.
It has two questions in one, and the second question asks how much more does the higher paying job pays than the lower paying one. So they're asking what is the difference between the two prices?
So we need to subtract $96.95 (the higher paying one) - $84.40 (the lower paying one), and you would get $12.55.
So, the movie theater pays Mike $12.55 more dollars than the ice cream store.
4.
if two vertices of an equilateral triangle are the point (3,4) and (-2,3), find the coordinate of third vertic!s
Hope it helps.
If you have any query, feel free to ask.
I need help ASPA with these two questions!!! <3 GIVE THANKS
1. Classify the expression: 5x3 + 2x − 3
Quadratic expression
Linear expression
Cubic expression
Exponential expression
2. Choose the expression that represents a quadratic expression.
12x4 − 2x3 + 5x2 − 9x − 6
2x3 + 5x2 − 9x − 6
12x2 + 8x − 1
−8x − 1
Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) By the number of terms is a trinomial, because has three terms
b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Answer:
1. Cubic expression
2. [tex]12x^2+8x-1[/tex]
Step-by-step explanation:
1. We have the expression [tex]5x^3+2x-3[/tex] and we have to classify it.
A quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].
We can see that the first term is squared. And in the expression that we have to classify the first term is raised to the cubic, then it isn't a quadratic expression.
A linear expression has the form [tex]ax+b[/tex].
We can see that it only has two terms and the first term has exponent 1. The expression [tex]5x^3+2x-3[/tex] has 3 terms and the first term has exponent 2 then it isn't a linear expression.
A cubic expression has the form[tex]ax^3+bx^2+cx+d[/tex].
We can see that the first term is raised to the cubic. And [tex]5x^3+2x-3[/tex] is raised to the cubic.
We can rewrite it: [tex]5x^3+2x-3=5x^3+0x^2+2x-3[/tex]
[tex]a=5\\b=0\\c=2\\d=-3[/tex]
The expression [tex]5x^3+2x-3[/tex] agrees with the definition of a cubic expression. Then it's a cubic expression.
An Exponential expression has the form [tex]y=ab^x, a>0[/tex]
2. We said that a quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].
Then the expression that agrees with the definition is [tex]12x^2+8x-1,a\neq 0[/tex]
With,
[tex]a=12\\b=8\\c=1[/tex]
need help please can someone figure it out
Answer:
It's the first choice.
Step-by-step explanation:
Using system of equations.
∠E and ∠F are complementary. The measure of ∠E is 54° more than the measure of ∠F. Find the measure of each angle.
The angles are 18° and 72° respectively.
Since, we are told that they are complementary angles, that means that their sum will be equal to 90°
Therefore E + F = 90°
Based on the question, E = F + 54°. Therefore, E + F = 90°.
F + 54° + F = 90°
Collect like terms
2F = 90 - 54°
2F = 36°
F = 36°/2 = 18°
The value of F is 18°
Therefore, E = F + 54° = 18° + 54° ,= 72°
The angles are 18° and 72°.
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The measure of angle E is 72 degrees and the measure of angle F is 18 degrees.
Explanation:Let's represent the measure of angle E as x and the measure of angle F as y. Since the angles are complementary, we know that x + y = 90. We also know that x = y + 54. By substituting the value of x into the first equation, we get (y + 54) + y = 90, which simplifies to 2y + 54 = 90. Solving for y, we find that y = 18. Substituting this value back into the equation for x, we get x = 18 + 54 = 72. Therefore, the measure of angle E is 72 degrees and the measure of angle F is 18 degrees.
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Which expression does not belong with the other three? Explain your reasoning. |3| -3 |-3| 3
[tex]\huge\boxed{-3}[/tex]
All of the other expressions are equal to a positive [tex]3[/tex].
Absolute value finds a number's distance from zero, which basically removes its negative sign if it has one, making the number positive.
[tex]|3|=3[/tex]
[tex]\boxed{-3=-3}[/tex]
[tex]|-3|=3[/tex]
[tex]3=3[/tex]
Answer:
-3.
Step-by-step explanation:
That would be -3 because it is negative.
|3| 3 and |-3| are all positive.
|-3| means the absolute value of -3, which is positive.
5x2 - 7x +5 +4x2 + 9x - 10
Hey!
------------------------------------------------
Solution:
5x² + (-7x) + 5 + 4x² + 9x + (-10)
(5x² + 4x²) + (-7x + 9x) + (5 + (-10))
9x² + 2x + (-5)
------------------------------------------------
Answer:
9x² + 2x + (-5)
------------------------------------------------
Hope This Helped! Good Luck!
3/4 of what number is 6 times 4?
the answer would be 32
'
Answer:
32
Step-by-step explanation:
3/4 of what number is 6 times 4?
[tex]\frac{3}{4}x = 6(4)[/tex]
[tex]\frac{3x}{4} = 24[/tex]
[tex]3x = 24.4[/tex]
[tex]3x = 96[/tex]
[tex]x = \frac{96}{3}[/tex]
[tex]x = 32[/tex]
Where does each answer belong in the boxes?? Right answers only, help please!! :))
Answer:
Box 1: Quadrant I
Box 2: Quadrant II
Box 3: Quadrant III
Hope this helps.
If Camillo goes with the better buy, how much will he pay for the 25 loaves of bread that he needs for the gourmet peanut butter and jelly sandwiches? Enter your answer to the nearest cent.
Answer:
let me fill your answer with this picture
Step-by-step explanation:
48.75 i belive
A sign company charges $28 per yard for each custom-made banner. Ms. Gill orders two banners that are each 15 yards long, and one banner
that is 2 yards long. What will Ms. Gill pay for all three banners? Enter your answer in the box
Please help I need this before tomorrow
Answer:
Step-by-step explanation:
Do 28x15 then 28x2 and add those up
Answer:
$896
Step-by-step explanation:
We are given that
Charge of 1 yard for each custom-made banner=$28
Length of 1 piece=15 yards
Length of another piece=2 yards
We have to find that how much money payed by Ms.Gill for all three banners.
According to question
Cost of 15 yards long banner=[tex]28\times 15=[/tex]$420
Cost of 2 piece of 15 yards long banner=[tex]420\times 2[/tex]=$840
Cost of 2 yards long banner=[tex]2\times 28[/tex]=$56
Total cost of 3 piece of banners=840+56=$896
Hence, Ms gill pay for all three banners=$896
Choose the graph that represents the equation y =|x|+2
Answer:
The correct graph is b)
Step-by-step explanation:
To solve this problem you have to think about the graph of |x|, and traslate 2 units up, in "y" axis beacuse +2 is outside the |x|. If +2 were inside |x| (|x+2|), you have tyo traslate 2 units to the left.
The graph that represents the equation y =|x|+2 is option B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is y=|x|+2
y equal to mod x plus two.
y=|x|+2
Let us find the graph by finding few x and y values of the equation.
x 0 1 2 3
y 2 3 4 5
The given points are exactly pointed in the second graph.
Hence, the graph that represents the equation y =|x|+2 is option B.
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Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch or a square with side length of 2 1/2 inches
Answer:
an rectangle
Step-by-step explanation:
because it is 7 inches and it is 3/4 inches
0.0151515 convert repeating decimals to fractions
Answer:
1/66
Step-by-step explanation:
0.0151515 can be converted to the fraction 5/333.
Repeating decimals can be converted to fractions by setting the repeating part as x and subtracting the non-repeating part.
For example, to convert 0.0151515 to a fraction, let x = 0.015 and y = 0.1515, then subtract them: x = 0.015, 1000x = 15, y = 0.1515, 10000y = 1515. Subtract both: 999y = 1500 - 15 = 1485.
Therefore, the fraction is 0.0151515 = 15/999 = 5/333.
Cookies come in
packages of 12.
Drinks come in
packages of 3,4,5,
6, 8, 10, and 12. Make
a table to show how
many packages of each
size to buy so that you have
the same number of cookies
and drinks.
Answer:
[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]
Step-by-step explanation:
Cookies come in packages of 12.
Drinks come in packages of 3, 4, 5, 6, 8, 10, and 12.
If you buy one package of cookies (12 cookies), then you have to buy
4 packages of drinks with 3 drinks in each (12 drinks); 3 packages of drinks with 4 drinks in each (12 drinks); 2 packages of drinks with 6 drinks in each (12 drinks); 1 package of drinks with 12 drinks in it (12 drinks).If you buy 2 packages of cookies (24 cookies), then you have to buy 3 packeges of drinks with 8 drinks in each (24 drinks).
If you buy 5 packages of cookies (60 cookies), then you have to buy
12 packages of drinks with 5 drinks in each (60 drinks); 6 packages of drinks with 10 drinks in each (60 drinks).The table is
[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]
What is the answer to 2x -1 + x + x + 1= 180
2x -1 + x + x + 1= 180
2x+x+x-1+1=180 ( combine like terms)
2x+2x-1+1=180
-1+1=0
2x+2x+0=180
4x+0=180
4x=180
divide both sides by 4 to get x by itself
4x/4=180/4
x=180/4
Answer: x=45
There are 40 members in a food club. The Venn diagram below shows how many members like vegetables, fruit, both, or neither. Complete the following two-way frequency table.
The data of the frequency table is mentioned below.
What is a Venn Diagram?A Venn Diagram is the pictorial representation of data in the form of circles which represents relationship between finite number of group of things.
There are total 40 members in a food club.
The people who
Like vegetable and also like fruit is : 23
Like vegetables , do not like fruit is : 4
Do not like vegetables and like fruit is 8
Do not like vegetables and do not like fruit is 5
The missing Venn Diagram is attached with the answer.
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Find the area of the figure. (Sides meet at right angles.)
Answer:
28 meters²
Step-by-step explanation:
We can break the shape into two rectangles. One of the rectangles has length 5 and height 2. The other rectangle has a height of 6 and a width of three. You can refer to the attached image.
To find the total area, we simply have to sum the areas of the two rectangles.
[tex]A = 5*2 + 6*3\\A = 10 + 18\\A = 28[/tex]
The total are of the shape is 28 meters²
Answer:
28 m²
Step-by-step explanation:
The figure is composed of 2 rectangles
The right rectangle has sides 3m and 6 m
The left rectangle has sides 5 m and (6 - 4) = 2 m
The area (A) of the figure is the sum of the 2 rectangles which form it
A = (3 × 6 ) + (5 × 2 )
= 18 + 10
= 28 m²
For which object would a geologist use carbon-14 dating to determine age?
Answer:
The correct option is the first one. An animal skull
Step-by-step explanation:
The correct option is the first one. An animal skull
The radiocarbon dating, also referred to as carbon -14 dating, is used for the determining of the age of an object containing organic matter based on the properties of the radiocarbon.
The age detection of the ancient objects are very tough,due to no records are available about the objects.
That's why scientists use carbon-14 dating process.
In this picture, the only object that contains organic material is the animal skull, thus it is the only one that can be dated with this method.
Answer:
The correct option is animal skull
Step-by-step explanation:
Carbon-14 dating is a method for determining the age of an object containing organic material by utilising the properties of a radioactive isotope of carbon. As we have no records of the object, it's become very difficult to detect the age of an object . In such a situation, carbon-14 dating process helps .
In the given picture, animal skull is the only object that contains organic material , so it is the only object for which geologist would use carbon-14 dating to determine age.
Therefore, the correct option is animal scull ( first one )
If the circumference of a circle is 35 inches, which is closest to its area? A. 380 square inches B. 98 square inches C. 17 square inches D. 35 square inches
The area of the circle given the circumference is B. 98 inches².
The circumference of a circle is calculated by the formula:
= π x diameter
You can therefore find the diameter given the circumference:
35 = 22/7 x diameter
Diameter = 35 / 22/7
= 11.14 inches
The radius is half of the diameter:
= 11.14 / 2
= 5.57 inches
Area of a square is:
= π x radius ²
= 22/7 x 5.57 x 5.57
= 97.51 inches²
= 98 inches²
In conclusion, the area of the circle is closest to 98 square inches.
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