Answer:
Option B - 2
Step-by-step explanation:
Given :The length of a spring when it’s at rest is measured to be 0.56 centimeter.
To find : How many significant figures are there in this measurement?
Solution :
There are two important rules to find the significant figure :
1) Non-zero digits are always significant.
2) Leading zeroes in front of decimal points are not significant.
Therefore, In the given measurement 0.56 cm.
There are only two significant figures.
So, Option B is correct.
The correct answer is option B. The measurement 0.56 has 2 significant figures.
To determine the number of significant figures in the measurement 0.56 centimeter, we follow the rules for identifying significant figures:
1. Non-zero digits are always significant.
2. Any zeros between significant digits are also significant.
3. Leading zeros (zeros to the left of the first non-zero digit) are not significant.
4. Trailing zeros in a decimal number are significant.
For the measurement 0.56:
The digit '5' is a non-zero digit, so it is significant.The digit '6' is a non-zero digit, so it is significant.The leading zero (the '0' before the decimal point) is not significant.Therefore, the measurement 0.56 has two significant figures.
spencer hits a tennis ball past his opponent. the height of the tennis ball in feet is modeled by the equation h(t)=-0.075t^2+0.6x+2.5 where t is the time since the tennis ball was hit meausured in seconds. how long does it take for the ball to reach its maximum height?
The quadratic function is given by the equation [tex]h(t)=-0.075t^2+0.6t+2.5.[/tex]
The maximal height will be at vertex. Find t-coordinate of the parabola vertex:
[tex]t_{vertex}=-\dfrac{b}{2a}=-\dfrac{0.6}{2\cdot (-0.075)}=4\text{ seconds.}[/tex]
At t=4,
[tex]h(4)=-0.075\cdot 4^2+0.6\cdot 4+2.5=-1.2+2.4+2.5=3.7\text { feet. }[/tex]
Answer: it will take 4 seconds for the ball to reach the maximal height of 3.7 feet.
What is 2/5 - [-4 7/10]
Answer: 5 1/10
Solution:
2/5-[-4 7/10]
2/5-[-(4*10+7)/10]
2/5-[-(40+7)/10]
2/5-[-47/10]
2/5+47/10
2*2/(5*2)+47/10
4/10+47/10
(4+47)/10
51/10
(50+1)/10
50/10+1/10
5 1/10
3 more than a number t is greater than or equal to 21
The equation is saying [tex]t+3\geq 21[/tex]. We can use algebra to subtract 3 from both sides to create [tex]t\geq 18[/tex].
Therefore, the value t is greater or equal to 18.
what is the place value of the 8 in 2,894?
The place value of the 8 in 2,894 would be the hundredths.
Hope helps!-Aparri
the value of the eight is 800 because i actually dont know how to explain this but basiclly the 3 rd digit from the right would always be the hundereds place.
what is the value of (x+3) folders at $0.10 each
7+3 =10 or 3(10) 30
help my on these two questions plss
7. Loan amount = $12000
Monthly payment = $380
Duration of the repayment = 3 years = 3(12) = 36 months.
Total amount Jason repaid = 36 × 380 = 13680
Interest on loan amount = amount repaid - loan amount
= 13680 - 12000
= 1680
Hence, total amount Jason paid in interest on loan = $1680 and the correct option is (D).
8. Loan amount = $35000
Monthly payment = $315
Duration of the repayment = 10 years = 10(12) = 120 months.
Total amount Gerald repaid = 120 × 315 = 37800
Interest on loan amount = amount repaid - loan amount
= 37800 - 35000
= 2800
Hence, total amount Gerald paid in interest on loan = $2800 and the correct option is (B).
If nuts coat $9.20 per pound how much would 2 1/4 pounds cost
9.20 divides by 4 is 2.3 per quarter pound
There are 9 quarters in 2 1/4
So 9 times 2.3 is 20.7
please answer quickly thanks :)))
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute walk? Write an equation in function notation for the situation and then use it to solve the problem. Determine if the given statement is true or flase.
The dependent variable is the number of hours true or false
The function for the walker fee is f(h)= 30h+6 true or false
The dog walker charges $22.5 for a 45min walk true or flase
Step 1
Find the equation in function notation
Let
h-------> the number of hours
y-------> the function for the walker fee in dollars
we know that
the hourly rate is [tex]30\frac{\$}{hour}[/tex]
[tex]y=6+30h[/tex]
in this linear equation
the independent variable is the variable h
the dependent variable is the variable y
Convert to function notation
Let
[tex]f(h)=y[/tex]
[tex]f(h)=6+30h[/tex]
Step 2
Find how much does the dog walker charge for a 45 minute walk
Convert the time in hours
[tex]1\ hour=60\ minutes[/tex]
[tex]45\ minutes=45/60=0.75\ hours[/tex]
substitute in the equation
For [tex]h=0.75\ hours[/tex]
[tex]f(0.75)=6+30*(0.75)=\$28.5[/tex]
therefore
the answer is
the dog walker charge for a 45 minute walk [tex]\$28.5[/tex]
Statements
Step 3
The dependent variable is the number of hours true or false
The statement is false,
because the independent variable is the number of hours and the dependent variable is the walker fee in dollars
Step 4
The function for the walker fee is f(h)= 30h+6 true or false
The statement is True --------> see the Step 1
Step 5
The dog walker charges $22.5 for a 45 min walk true or false
The statement is False
Because the dog walker charges for a 45 minute walk [tex]\$28.5[/tex]
The dependent variable is indeed the number of hours. The proper function for the walker's fee is f(h)= 6+30h. When using the function to calculate a 45-minute walk, we find the cost to be $28.5, not $22.5.
Explanation:
The subject of this question is Mathematical analysis, more specifically, function notation and applied arithmetic. Here, the dependent variable is indeed the number of hours, it is true. We can express the cost of dog walking as a function of the time in hours. We denote the function with 'f' and the hours with 'h'. The flat rate plus the hourly rate can be express as f(h) = 6 + 30h. So the function given f(h)= 30h+6 is true.
To find a 45-minute walk cost, we need to express 45 minutes in hours, because our function is defined in terms of hours. 45 minutes is 0.75 of an hour. Substituting h = 0.75 into the function, we get f(0.75) = 6 + 30* 0.75 = 6 + 22.5 = 28.5, not $22.5. So, the statement 'The dog walker charges $22.5 for a 45min walk' is false.
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latoya runs 12 miles in 75 minutes. how many miles does she run per minute?
12 ÷ 75 = 0.16.
So she runs 0.16 miles per minute.
Hope it helps!
simplify 5^2•(4+2^3)
Remember to follow PEMDAS, and left -> right rule.
First, solve the Parenthesis:
(4 + 2^3)
Solve the exponent.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
4 + 8 = 12
_______________________________________________________________
(5^2) x (12)
5^2 = 5 x 5 = 25
25 x 12
_______________________________________________________________
Multiply
25 x 12 = 300
________________________________________________________________
300 is your answer
________________________________________________________________
~Rise Above the Ordinary
I dont understand this please help me
A.) 34.68
hope this helps
A is your answer. Take the $289 and multiply that by 0.12.
Hope this helps & good luck. :)
find the line parallel to y=-4x+5 and goes through the point (1,3)
the average of m, n, and -1 is 0. What is the value of m+n?
Final answer:
Given that the average of m, n, and -1 is 0, the sum of m+n is calculated to be 1.
Explanation:
The question asks for the sum m+n given that the average of m, n, and -1 is 0. To find the sum, we can set up an equation using the definition of the average:
(m + n + (-1)) / 3 = 0
Solving this equation, we get:
m + n - 1 = 0
And once we add 1 to both sides:
m + n = 1
Therefore, the value of m+n is 1.
Ricardo is considering the following jobs as summer employment.
yard work 5 hours per day 34.50
babysitting 7 hours per day 31.50
life guarding 3 hours per day 23.10
camp counselor 8 hours per day 60.80
If he wants to earn $1,000 this summer working the least amount of hours, which job should he choose?A.babysitting
B.yard work
C.life guarding
D.camp counselor
Answer: the answer is lifeguard hope that helps.
Step-by-step explanation:
Select from the drop down menus to correctly complete each statement. - 15 < -13 - 13 < - 11 is - 13 located to the right or to the left of -15 on the number line. is - 11 located to the left or the right of - 13 on a number line.
On the number line, smaller numbers are located to the left of larger numbers, which are located on the right.
So, if you have two numbers x and y on the number line, the smaller of the two will be on the left, the larger one on the right.
So, -13 is located to the right of -15, because it's larger.
For the same reason, -11 is located to the right of -13.
On the number line, you would have something like
<--------(-15)-------(-13)--------(-11)---------->
On a number line, negative values decreases as we move to the left while positive values increases to the right. Hence,
-13 is located to the right of - 15 -11 is located to the right of - 13Starting from 0 to the left, we have - 1, - 2, - 3,... which continues in that sequence as decreases as we move to the left of the number line.
Moving towards the left, - 13 appears before - 15 ; Hence - 13 is located relative to the right of - 15 on the number line
Similary, - 11 appears before - 13 ; Hence - 11 is located relative to the right of - 13 on the number line.
Therefore, - 13 and - 11 are located to the right of - 15 and - 13 respectively on the number line.
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A dolphin traveled 5 miles in 15 minutes, a stingray traveled 11 miles in 30 minutes, and a great white shark traveled 92 miles in 4 hours. Which animal Is the fastest?
Dolphin: 5/15=1/3= .3333- miles per minute
Stingray: 11/30= .3666- miles per minute
Great White Shark: 92/(4 x 60)= .38333- miles per minute
The great white shark is the fastest.
Answer:
The great white shark is the fastest.
Step-by-step explanation:
Would you consider these shapes congruent??
no it would not be congruent
Hello!
Answer:No, these shapes would not be considered congruent. In geometry, figures would only be congruent if they have the same size and shape. In the above image, the two figures have the same shapes, but they do not have the same size.
2 times 5 times 10 to the 5th power
2x5x10^5=1000000. You do the exponent first,10^5 = 100000. Then you multiply that by 5, 5x100000=500000. Then by 2, 500,000x2= 1000000.
A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x . What is the function input when the output is 25? 20 -20 10 -10
Answer: C. -20
Hope this helps!! Please mark me brainliest??
simplify the following expression into the form a+bi where a and b are rational numbers
(3+7i) (-2-2i) -4i(5-9i)
Answer:
- 28 - 40i
note that i² = (√-1)² = - 1
expand product of factors using FOIL
= - 6 - 6i - 14i - 14i² - 20i + 36i²
= - 6 - 6i - 14i + 14 - 20i - 36
= - 28 - 40i
Step-by-step explanation:
Got right on PLATO
The solution to the complex expression (3+7i) (-2-2i) -4i(5-9i) is -28 - 40i
What is a complex number?A complex number is a number of the form a + bi, where a and b are real numbers, and i = √-1
i² = (√-1)² = -1
Given the expression:
(3+7i) (-2-2i) -4i(5-9i)
= -6 - 14i -6i + 14 - 4i(5 - 9i)
= 8 - 20i - 20i - 36
= -28 - 40i
The solution to the complex expression (3+7i) (-2-2i) -4i(5-9i) is -28 - 40i
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A certain triangle has 30 angle and 60 angle which much be a true statement about the triangle
Answer:
D
Step-by-step explanation:
The longest side is twice as long as the shortest side because lets suppose I have a triangle that has vertices with angles 30 and 60, the last one has to be 90 because the total is 180 degrees. Now for a 30 60 triangle, if the hypotenuse has a length of 2, the following ratios will hold true for the other two sides. The side that shares the 90 degrees and 60 degrees corners will be of length 1 and the side that shares the 30 degrees and 90 degrees corners (vertices) will be of length sqrt(3). This is true all the time. In this case the correct answer is that the longest side is twice as long as the shortest side because the longest side is the hypotenuse with length 2 and the shortest side will be the one that shares the 90 degrees and 60 degrees corners and is of length 1.
Answer:
A
Step-by-step explanation:
a 21-ounce box of cereal costs $2.94, what is the unit price? what is the unit price?
I'm pretty sure the unit price is $0.14. :)
Compare 2.3 and 2.03
Rachel earns $21 per day for 22a-22d select true or false for each statement
22a. False
22b. True
22c. True
22d. False
For each scenario, we multiply Rachel's daily earnings ($21) by the number of days worked to find her total earnings.
In 22a, Rachel earns 21 × 20 = $420, not $421 as stated.
In 22b, Rachel indeed earns 21 × 15 = $315, making the statement true.
Similarly, in 22c, Rachel earns 21 × 13 = $273, confirming the statement as true.
However, in 22d, Rachel's earnings for 13 days amount to 21 × 13 = $273, not $250, rendering the statement false.
Therefore, the true statements are 22b and 22c, while 22a and 22d are false.
Complete Question:
Mark studied a group of 30 whales. If each whale weighed approximately 3.8 * 10^5 pounds, find the total weight of all 30 whales. Express your answer in scientific notation.
Answer: The total weight is [tex](1.14)(10^{7})[/tex] pounds.
Step-by-step explanation:
1. To solve this problem you need to multiply the number of whales by the weight. Based on the given information, the weight of each whale is approximately [tex](3.8)(10^{5})[/tex] pounds, therefore:
[tex](30)[(3.8)(10^{5})]=11,400,000[/tex] pounds.
3. To express the result in scientific notation, you must move the decimal point to the right until you have a non-zero number on the left of the decimal point. Then, it is:
[tex](1.14)(10^{7})[/tex]
Answer: The group weights 1.14x10^7 pounds
Step-by-step explanation:
The group has 30 whales.
Each whale weights 3.8x10^5 pounds, then, 30 whales weight 30 times that amount:
Total weight = (30)*(3.8x10^5)
Remember that for the scientific notation we want only one digit before the decimal point.
Here, i will use that 30 = 3x10^1
(3x10^1)*(3.8x10^5) pounds = (3*3.8)x10^(5 + 1) pounds
(11.4)x10^6 pounds
and 11.4 = 1.14x10^1
(11.4)x10^6 pounds = 1.14x10^(1 + 6) pounds = 1.14x10^7 pounds
Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented by the expression "25x2 − 12x − 9."
The area of the outer ring of the circle can be found by subtracting the area of the inner circle from the area of the whole circle.
Explanation:The area of the whole circle is represented by the expression 25x2 - 12x - 9. To find the area of the outer ring of the circle, we need to subtract the area of the inner circle from the area of the whole circle.
The area of the inner circle can be represented as a difference of squares: (5x - 3)(5x + 3).
Therefore, the area of the outer ring of the circle is given by the expression (25x2 - 12x - 9) - (5x - 3)(5x + 3).
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Luiza runs a lawn-mowing business. She decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn. What would be an appropriate unit for Luiza's purpose?
Square yards or square feet
Simplify the following expression.
12 - 5[(4 + 2)/\2 - (22 + 10)]
A.
-198
B.
-238
C.
-18
D.
-98
12 - 5[(4 +2)² - (22 + 10)]
Remember to follow PEMDAS. First, solve both parenthesis
12 - 5[(4 +2)² - (22 + 10)]
12 - 5[(6)² - (32)]
Next, solve the exponent
(6)² = 6 x 6 = 36
12 - 5[(36) - (32)]
Then, solve the bracket.
36 - 32 = 4
12 - 5[4]
Next, multiply
-5 x 4 = -20
Finally, subtract.
12 - 20 = -8
None of the above. The answer is -8. Please check the answers and the question again
~Rise Above the Ordinary
how many planes can two distinct lines have in common
either 0 or 1 plane(s)