Answer:
See Explanation
Step-by-step explanation:
1.
Standard Form: 2 * 10^8
The number is expanded as follows:
[tex]10^8 = 100,000,000[/tex]
So: [tex]2 * 10^8 = 2 * 100,000,000[/tex]
[tex]Expanded\ Form: 200,000,000[/tex]
Word Form: Two hundred million
2.
Standard Form: 3.5 * 10^7
The number is expanded as follows:
[tex]10^7 = 10,000,000[/tex]
So: [tex]3.5 * 10^7 = 3.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 35,000,000[/tex]
Word Form: Thirty five million
3.
Standard Form: 9 * 10^9
The number is expanded as follows:
[tex]10^9 = 1000,000,000[/tex]
So: [tex]9 * 10^9 = 9 * 1000,000,000[/tex]
[tex]Expanded\ Form: 9,000,000,000[/tex]
Word Form: Nine billion
4.
Standard Form: 5.5 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]5.5 * 10^7 = 5.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 55,000,000[/tex]
Word Form: Fifty five million
5.
Standard Form: 4.3 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]4.3 * 10^7 = 4.3 * 10,000,000[/tex]
[tex]Expanded\ Form: 43,000,000[/tex]
Word Form: Forty Three million
Factor the polynomials to find if x - 5 is a root of the polynomial x^3 - 2x^2 - 13x - 10. (Use synthetic division or long division). Picture attached and answer options below.
Answer:
Option (3)
Step-by-step explanation:
Given polynomial is (x³ - 2x² - 13x - 10).
If (x - 5) is a factor of the given polynomial, other factors can be found by the synthetic division.
5) 1 -2 -13 -10
- 5 15 10
1 3 2 0
Therefore, other factor of the given polynomial will be (x² + 3x + 2)
And the factored form of the polynomial will be,
(x - 5)(x² + 3x + 2)
Option (3) will be the answer.
Solve for t
9t=10t+3
t=
Answer:
[tex]\huge\boxed{t=-3}[/tex]
Step-by-step explanation:
[tex]9t=10t+3\\\\9t-10t=10t-10t+3\\\\\rightarrow\boxed{-t=3}\\\\\frac{-t}{-1}=\frac{3}{-1}\\\\\boxed{t=-3}[/tex]
I have no clue what to do help please
Answer:
Hey there!
The question is basically asking for you to solve a fraction subtraction problem, and fill in the missing values as you solve.
The given problem is 2/3 - 1/2. However, we can't subtract right now, since the denominators are different.
2/3 can be expressed as 4/6, and 1/2 can be expressed as 3/6.
Thus, the missing denominator in line one is 6 and the missing numerator in line one is 3.
4/6-3/6=1/6.
Thus, the numerator in line two should be 1.
From top to bottom, the numbers in the three boxes should be 6, 3, and 1.
This can be a confusing topic, especially if you're just learning it. Let me know if you need additional help :)
Thirty years ago, police would check a highway for speeders by sending a helicopter up in the air and observing the time it would take for a car to travel between two wide lines placed 1/10th of a mile apart. On one occasion, a car was observed to take 7.2 seconds to travel this distance.
What is the speed of this car in miles per hour?
==============================================
Work Shown:
1/10 = 0.1
0.1 mile = 7.2 seconds
1 mile = 72 seconds (multiply both sides by 10)
1/72 mile = 1 second (divide both sides by 72)
3600/72 = 3600 seconds (multiply both sides by 3600)
50 miles = 3600 seconds
50 miles = 1 hour
The car's speed is 50 mph
Note: 1 hour = 60 min = 60*60 = 3600 seconds
Where does the graph of the line y = x - 2 intersect the x-axis?
O A. (0, 2)
O B. (2,0)
O C. (0, -2)
0 D. (-2, 0)
Answer:
Where does the graph of the line y = x - 2 intersect the x-axis?
O A. (0, 2)
O B. (2,0)
O C. (0, -2)
0 D. (-2, 0)
C. ( 0 , -2 )
Step-by-step explanation:
I hope this helps
Follow // Followback
The line of y=x-2 intersects the x axis at (2,0).
To find the points where line intersect the x-axis.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
The x-axis is defined as being at y=0 (look at a graph, the x-axis intersects the y-axis at y=0). Therefore, all you need to do is put in 0 for y, and solve for x.
y=x-2
put in 0 for y
0=x-2
add 2 to both sides
2+0=x-2 +2
x=2
Therefore the line of y=x-2 intersects the x axis at (2,0).
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Find the value of an exterior angle of a polygon with 12 sides
Answer:
[tex]\huge \boxed{30\°}[/tex]
Step-by-step explanation:
To find the value of an exterior angle of a regular polygon, we can apply a formula.
[tex]\displaystyle \frac{360}{n}[/tex]
[tex]n = \sf number \ of \ sides[/tex]
[tex]\displaystyle \frac{360}{12}=30[/tex]
Answer:
30°
Step-by-step explanation:
For a regular n -gon, the measure of an exterior angle is 360 ˚ / n
Since the sides give has 12 sides, (dodecagon)
the exterior angles is 360° / 12 = 30°
The ratio of the profit, material cost and production labour is 5:7:13. If the material cost is 840 more than that of labour, find the total cost of producing the article. Plss
Answer:
Total cost of producing is 2800.
Step-by-step explanation:
Given
Ratio of profit, material cost and production labour is 5:7:13.
Material cost is 840 more than that of labour cost.
To find:
Total cost of producing the article.
Solution:
Cost of producing the article includes material cost and the labour cost.
Profit will not be included in the production cost because profit comes in the picture after the article is sold.
We are given that, the ratio is:
Profit: Material Cost: Production Labour = 5:7:13
So, we can let Material Cost = 7[tex]x[/tex] and
Production Labour = 13[tex]x[/tex]
As per the question statement:
[tex]13x-7x=840\\\Rightarrow 6x=840\\\Rightarrow \bold{x=140}[/tex]
Total cost of producing = Material Cost + Production Labour
Total cost of producing = 7[tex]x[/tex] + 13[tex]x[/tex] = 20[tex]x[/tex] = 20 [tex]\times[/tex] 140 = 2800
So, Total cost of producing is 2800.
Using the Pythagorean theorem, if the hypotenuse is 17 feet long, and side a is 15 feet long. What is the missing length of side b?
Answer:
The missing side is 8 ft long
Step-by-step explanation:
According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
mathematically it is stated as
[tex]c^2= a^2+b^2\\\\c=\sqrt{a^2+b^2}[/tex]
Given that
c, hypotenuse= 17 ft
a = 15 ft
b= ?
Applying the Pythagoras theorem formula by inserting our given parameters and solving for b we have
[tex]17^2= 15^2+b^2[/tex]
Making b subject of formula we have
[tex]b^2= 17^2-15^2\\\\b^2= 289-225\\\\b^2= 64\\\\[/tex]
Square root both sides we have
[tex]b= \sqrt{64} \\\\b= 8[/tex]
Hence the missing side is 8 ft long
What is the circumference of a tire in inches given the following data: P255/95R20 (25.4mm/ inch)? (MAAD_A2014-1a & MAMDMN1a) Question 2 options: a) none of the other choices b) 92.68 inches c) 1,584.93 inches d) 122.77 inches
Answer:
Step-by-step explanation:
None of the other choices
671 ÷24showing work please and thank you
Answer: 27.958333333333333333333333333333........
Step-by-step explanation: Use long division method or do rounding method round each number and divide.
Answer:
The answer is 27.9583333333
Step-by-step explanation:
24 goes into 67 two times
24+24=48
67-48=19
add back in the 1
how many times does 24 go into 191
it goes into 191 7.9583333333 times
so final answer 27.9583333333 it might be confusing but
Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors. She receives a delivery of 444 tons of wood each day. The deliveries can continue for 100100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 210021002100 sailors. What is the number of ships Astrid can build, assuming she receives the maximum possible amount of wood?
Answer:
10 Ships
Step-by-step explanation:
Khan Academy
The number of ships Astrid can build is 10, assuming she receives the maximum possible amount of wood.
What is multiplication is mathematics?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.
Given that:
Astrid receives a delivery of 4 tons of wood each day.
The deliveries can continue for 100 days at most.
At most, she received amount of wood = 4 × 100 tons = 400 tons.
Each ship requires 40 tons of wood.
Number of ships required = (400÷40) = 10.
Each ship accommodates 300 sailors.
She have to build enough ships to accommodate = (300 × 10) = 3000 sailors.
Again, she wants to build enough ships to accommodate at least 2100 sailors.
As 3000>2100; the number of ships Astrid can build is 10.
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how do you do this?
PLS HELP!!
24a-3+4a-3y+7
Answer:
28 a − 3 y + 4
why are halves a good choice for benchmark fractions for 1 1/3
Answer and explanation:
Benchmark fractions are fractions that are used as references in measuring other fractions. They are easily estimated and so can be used in measuring more "specific" fractions such as 1/5, 7/9, 3/7, 1/3 etc. If I wanted to measure 1 1/3cm for instance using a calibrated ruler, having centimeter measurements, I would first find 1cm on the ruler and then find half of one centimeter. Seeing that half is bigger than 1/3 but close, I could then estimate 1/3 to be somewhere less than 1/2 but a bit close to it
Aaron and Betty went bowling. Betty scores twice the difference of Aaron's score and 5 . The sum of their scores is 320. Find each students bowling score.
Answer:
Aaron=110
Betty=210
Step-by-step explanation:
the photo contains the needed working out
Given the function f(x)=-x^2+3x, express the value of {f(x+h)-f(x)}{h} in simplest form.
Answer:
[tex]f'(x) = 3-2\cdot x[/tex]
Step-by-step explanation:
Let be [tex]f(x) = -x^{2}+3\cdot x[/tex], such that:
[tex]f'(x) = \frac{f(x+h)-f(x)}{h}[/tex]
Hence,
[tex]f(x+h) = -(x+h)^{2}+3\cdot (x+h)[/tex]
[tex]f(x+h) = -(x^{2}+2\cdot x\cdot h + h^{2})+3\cdot x + 3\cdot h[/tex]
[tex]f(x+h) = -x^{2}+(3-2\cdot x) \cdot h - h^{2}+3\cdot x[/tex]
[tex]f(x) = -x^{2}+3\cdot x[/tex]
Then,
[tex]f'(x) = \frac{-x^{2}+(3-2\cdot x)\cdot h-h^{2}+3\cdot x+x^{2}-3\cdot x}{h}[/tex]
[tex]f'(x) = \frac{(3-2\cdot x)\cdot h-h^{2}}{h}[/tex]
[tex]f'(x) = 3-2\cdot x -h[/tex]
If [tex]h \longrightarrow 0[/tex], then:
[tex]f'(x) = 3-2\cdot x[/tex]
e Ann, Claire, and Josh collect stickers. One week, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire. If they collect a total of 157 stickers, how many stickers did each collect?
Answer: Ann = 67 Josh = 60 Claire = 30
Step-by-step explanation: You get the equation 5x+7 = 157. You get the equation because for example, Claire = x then josh = 2x and Ann = 2x + 7. You do all the math and boom! You get the answer :)
The number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
Given,
Ann, Claire, and Josh collect stickers.
One week, Ann collects 7 more stickers than Josh.
Josh collects twice as many stickers as Claire.
Total tickets collected = 157 stickers.
We need to find out how many stickers each collected.
Let the tickets collected by Ann, Claire, and Josh be A, C, and J.
We can write the following equation:
Ann collects 7 more stickers than Josh.
A = 7 + J _______(1)
Josh collects twice as many stickers as Claire.
J = 2C_______(2)
Total tickets collected = 157 stickers.
A + C + J = 157 ______(3)
Solve the equation (1), (2), and (3).
A = 7 + J _____(1)
J = 2C _______(2)
A + C + J = 157 ______(3)
Put J = 2C in A = 7 + J
A = 7 + 2C ______(4)
Put (2), (4) in (3)
7 + 2C + C + 2C = 157
7 + 5C = 157
Subtracting 7 on both sides.
7 + 5C - 7 = 157 - 7
5C = 150
Dividing both sides by 5.
C = 30
Putting C = 30 in J = 2C
J = 2x30 = 60
J = 60
Putting J = 60 in A = 7 + J
A = 7 + 60
A = 67
Thus the number of stickers collected are:
Ann = 67
Claire = 30
Josh = 60
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escribe la ecuación canónica de la elipse con centro en el origen que pasa por el punto (2,1) y cuyo eje menor mide 4 y se encuentra sobre el eje Y
Answer:
Ur mummm u cheater
Step-by-step explanation:
10 points What is the slope of the function y 4x - 6 Type your answer
Answer:
4
Step-by-step explanation:
Brainliest for the correct awnser!! A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9
Answer:
Option B
Step-by-step explanation:
Taking the derivative of the residual function, then applying the normal equation:
[a; b] = (X'*X)^(X'*y)
with
X = [1 1; 2 1; 3 1; 4 1; 5 1]
X' is transpose of X
y = [11; 8; 4; 1; 0]
[a; b] = [-2.9 13.5]
Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1
Answer:
x>8 and x<6
Step-by-step explanation:
well first the values of x-7 have to be greater than 1 or, less than -1
because if x-7=-2 then |-2|=2>1 satisfying the equation
so we have
[tex]x-7>1\\\\x-7+7>1+7\\\\x>8[/tex]
and we have
[tex]x-7<-1\\\\x-7+7<-1+7\\\\x<6[/tex]
to graph it it goes from (-∞,6)∪(8,∞)
i think this is rlly easy but here ya go :/
SOMEONE PLZ HELP ME ASAP!!!!
Answer:
hyp=12.76
Step-by-step explanation:
sin36=opp/hyp
hyp=opp/sin36
hyp=7.5/sin36
hyp=12.76 rounded to the nearest hundredth
A: 15
B: 21
C: 26
D: 105
Answer:B=21
Step-by-step explanation:
it is because combined J an N are 105 across from that is the same so x is 21 because 5(x) = 21 u do 105 divided by 5 to get the answer
How are you? Question of the day is ..... 270 + 19 x 673 =
Answer:
13,057
Step-by-step explanation:
Solve 2(3x+6)=3(x-9)
Answer:
-13
Step-by-step explanation:
See steps below:
2(3x+6)=3(x-9) ⇒ distribution6x + 12 = 3x - 27 ⇒ grouping like terms6x - 3x = -27 - 12 ⇒ simplifying3x = -39x= -39/3x = -13 ⇒ answer●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{-13}[/tex]
Let's solve your equation step-by-step.
[tex]2(3x+6)=3(x-9)[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(3x+6)=3(x-9)[/tex]
[tex](2) (3x) + (2) (6) = (3)(^{x}) + (3) (-9)[/tex] (Distribute)
[tex]6x + 12 = 3x + -27[/tex]
[tex]6x + 12 = 3x -27[/tex]
Step 2: Subtract 3x from both sides.
[tex]6x + 12 - 3x = 3x - 27 - 3x\\3x + 12 = -27[/tex]
Step 3: Subtract 12 from both sides.
[tex]3x + 12 - 12 = -27 - 12\\3x = -39[/tex]
Step 4: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{-39}{3}\\x = -13[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
4 lines are shown. A line with points E, C, D is horizontal. Another line intersects the line at point C and extends up and to the right to point A. Another line intersects the line at point C and goes down and to the right to point B. Another line connects to all 3 lines. It goes from point A, to point D, to point B. Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .
Answer
Supplementary and ACD and BCD
Step-by-step explanation:
edgenuity
Answer: supplementary & ACD and BCD
Step-by-step explanation: edge2022
One card is to be drawn from a deck of 52 cards.The deck includes four types of cards.Red heart, red stars , black triangles , black circles .Each type has 13 cards numbered 1-13.What is the probability of drawing a red one a, black three , or a six of hearts.Give your answer in the simplify form .
Answer:
red one = 1/26
black three = 1/26
six of hearts = 1/52
Can you find the square root of 250 with prime factorisation without using calculator or is it not possible?
Answer:
Not possible.
Step-by-step explanation:
250 = 2 * 5 * 5 * 5
From this you write the square root as 5 * √10 so you would have to use a calculator to get any further.
Create a table of points from the equation f (x) = 3x2 – 8x + 2. (1 point)
Answer/Step-by-step explanation:
Using [tex] f(x) = 3x^2 - 8x + 2 [/tex], simply plug each value of x into the function to get f(x) values.
Thus, when x = -1
[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 [/tex]
[tex] f(-1) = 3*1 + 8 + 2 = 3 + 8 + 2 [/tex]
[tex] f(-1) = 13 [/tex]
[tex] f(0) = 3(0)^2 - 8(0) + 2 [/tex]
[tex] f(0) = 0 - 0 + 2 = [/tex]
[tex] f(0) = 2 [/tex]
[tex] f(1) = 3(1)^2 - 8(1) + 2 [/tex]
[tex] f(1) = 3*1 - 8 + 2 = 3 - 8 + 2 [/tex]
[tex] f(1) = -3 [/tex]
[tex] f(2) = 3(2)^2 - 8(2) + 2 [/tex]
[tex] f(2) = 3*4 - 16 + 2 = 12 - 16 + 2 [/tex]
[tex] f(2) = -2 [/tex]
[tex] f(3) = 3(3)^2 - 8(3) + 2 [/tex]
[tex] f(3) = 3*9 - 24 + 2 = 27 - 24 + 2 [/tex]
[tex] f(3) = 5 [/tex]
The correct table for the function is the last option.