1.7(10^−13)(3.5)(10^25)
Answers
\(\boxed{\bf\huge{Answer:—}}\)
\(\sf \longmapsto5.95 \times {10}^{ 12} \)
\(\boxed{\huge\bf{ Solution:—}}\)
\(\sf \longmapsto \: (1.7 \times 10 {}^{ - 13} )(3.5 \times {10}^{25} )\)
\(\sf \longmapsto1.7 \times 3.5 ( {10}^{25} \times {10}^{ - 13} )\)
\(\sf \longmapsto \: 1.7 \times 3.5( {10}^{25 - 13} )\)
\(\sf \longmapsto3.5 \: \times 1.7( {10}^{12} )\)
\(\sf \longmapsto5.95 \times {10}^{ + 12} \)
Answer:
5.95 × 10¹²Step-by-step explanation:
1.7×10⁻¹³ * 3.5 × 10²⁵ =
1.7*3.5 × 10⁻¹³⁺²⁵ =
5.95 × 10¹²
Related Questions
rewrite each of the following expressions without using absolute value:
∣4r-12∣if r<3
Answers
Answer:
12-4r
Step-by-step explanation:
4r<12 because r<3 so you flip it.
IFA has made a football of diameter 14 cm from leather. 3% leather is wasted. If the cost of leather including labo er sq.cm, find the total cost of leather purchased to make
Answers
the total cost of leather purchased to make the football is $30.79.
how to find volume of football?The volume of a football can be calculated using the formula for the volume of a sphere:
V = (4/3)πr³
Where r is the radius
Given that the diameter of the football is 14 cm and the radius is half of the diameter, so radius is 7 cm.
So, the volume of the football is:
V = (4/3)π(7 cm)³
= 1437.33 cm³
Now, we know that 3% of the leather is wasted,
so the amount of leather to make the football is:
(100% - 3%) = 97% of the total leather purchased.
Therefore, the amount of leather used to make the football is:
0.97 × 1437.33 cm³ = 1394.19 cm³
To find the total cost of the leather purchased, we need to know the cost of leather per square centimeter. Let's assume that the cost of leather including labor is $0.05 per square centimeter.
The surface area of a sphere can be calculated using the formula:
A = 4πr²
So, the surface area of the football is:
A = 4π(7 cm)²
= 615.75 cm²
the total cost of the leather:
Cost of leather = Cost per square centimeter × Surface area of the football
= $0.05/cm² × 615.75 cm²
= $30.79
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how many seconds will it take for the dime to hit the ground?
Answers
53 sec hope this helps and meybe you could give me a brainlist?
Step-by-step explanation:
Answer:
8 Seconds
Step-by-step explanation:
0= -16t^2 + 1024
1024=16t^2
64=t^2
8= t
At the first swim meet of the year, 9 of the 10 students to enter the water were wearing goggles. Based on this information, if 600 students will enter the water for this meet, how many students can be expected to wear goggles?
Answers
Answer:
540
Step-by-step explanation:
Answer:
540
Step-by-step explanation:
9 out of 10 is 90% of 10. Therefore, you have to calculate what's 90% of 600. Which is 540. Hope this helps!
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
Answers
The two integers are equal to 1 and 7 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
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Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
Answers
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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Piper is going to invest $74,000 and leave it in an account for 11 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Piper to end up with $108,000?
Answers
Divide both sides by 74000
1.45946=e^11r
Ln1.45946=11r
.37807=11r
Divide by 11
.03437
3.44%.
each of the following tables you find a relationship between an input x and an output y which of the relationships represents a function
a table a and table c
b table a and table b
c table b and table c
d table c and table d
Answers
Answer:
B table a table b
Step-by-step explanation:
All of the other tables have one x value mapped to multiple y values.
1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
Answers
You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?
Answers
Answer:
y = 7.8x + 26
Step-by-step explanation:
Given the following :
Pearson's r = 0.78
Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams
Average weight = 65 kg with standard deviation of 15kg
Formular for the regression line :
General regression formula :
y = mx + c
y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept
Gradient (m) = change in y / change in x
m = (sd y / sd x) * r
m = (sd weight / sd ice cream) × r
m = (15 / 1.5) × r
m = 10 × 0.78 = 7.8
Intercept:
mean of weight(y) - [Slope×mean of icecream(x)]
65 - [7.8 × 5]
65 - 39 = 26
Hence,
y = 7.8x + 26
What is the product (4.42 x 103)(5 x 10^) written in
scientific notation?
Answers
Answer:
2.2763 x 10 to the power of 4
for some reason it doesn't let me put in the explanation
!!please help!! i’ll give brainlist
Answers
Answer:
Step-by-step explanation:
the magnitude of ∠DGF= ∠BAD (alternate angles)
∴the magnitude of ∠DGF=40°
∠ FDG=∠ADB(VERTICALLY OPP. ANGLES)
∠FDG= 180-(90+40)
= 50°
by using the Pythagoras' theorem
FD²+2²= 4²
FD²= 12
FD= 2√3
A curve passes through the point 1,-11 and its gradient at any point is ax2+b, where a and b are constants. The tangent to the curve at point 2,-16 is parallel to the x axis. Find the values of a and b.
Answers
Answer:
a = 3
b = -12
Step-by-step explanation:
gradient function (y') = ax² + b
curve function (y) = 1/3 ax³ + bx + c
pass (1,-11) : -11 = 1/3 a + b + c ..... (1)
pass (2,-16) : -16 = 8/3 a + 2b + c ..... (2)
slope at (2,-16) is 0 (its tangent parallel to x axis)
at (2 , -16) ax² + b = 0 4a + b = 0 b = -4a .... (3)
(2) - (1) : -5 = 7/3 a + b = 7/3 a -4a = -5/3 a ... (4)
3 x (4) : -15 = -5a a = 3
b = -4a = -4 x 3 = -12
Grade 6 - End of term assessment
Question 7
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is
9 feet in length. What is the greatest number of 15-inch pieces the seamstress
can cut from 5 of these rolls of ribbon?
Show your work.
Answers
Answer:
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Step-by-step explanation:
Given
Total length of one roll of ribbon = 9 feet
As the pieces have to be cut into inches, we will convert the measurement in feet to inches
As there are 12 inches in one feet, 9 feet will be equal to:
9*12 = 108 inches
Now first of all, we have to see how many 15 inches pieces can be cut from one role
So,
\(=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2\)
So the seamstress can cut 7 15-inch long pieces from a roll.
Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:
\(= 5 * 7 =35\)
Hence,
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Please help I’m really stuck this is my last attempt
What is the mode for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8
5|0 = 50 years old
33
68
4
74
Answers
Answer:
I THINK IT IS 74 NOT 4
I HOPE THIS HELPS!!!!!
A car has been purchased for £5200 and is estimated to have an expected life driving 200,000
miles. At the end of that time its value is estimated to be £200. If the units-of-production
method is used to depreciate the car,
a) What is depreciation cost per mile?
b) What will be book value of the car after it has driven 55000 miles?
Answers
Answer:
a) 0.025£ b)3825£
Step-by-step explanation:
a) 5200-200=5000 - of the value will be lost after reaching the milleage of 200000 miles
200000-5000
1-x
200000=5000/x
x=5000/200000= 5/200=1/40=0.025£- the depreciation cost per mile
b)0.025*55000= 1375- the decreasing of the price
5200-1375=3825£- the book value of the car after it has driven 55000 miles
which of the following is a solution to the inequality 4x-5y<10
Answers
Answer:what is the following
Step-by-step explanation:
F(x)=1/7x+5 what is the value
Answers
Answer:
2.1
Step-by-step explanation:
3wjhshbz zsz
solve 3x-5>-4x+9 on graph
Answers
Answer:
x < 14
Step-by-step explanation:
3x-5 > 4x+9
Subtract 4x from both side
-x -5 > 9
Add 5 to both side
-x > 14
Divide by -1
x < 14
Solve for the Value of R
Answers
Answer:
whats the question
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic
Answers
Answer:
The test statistics is \(z = -1\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is \(H_o : \mu = \$30000\)
The alternative hypothesis is \(H_a : \mu < \$ 30000\)
The sample mean is \(\= x = \$29,750\)
The standard deviation is \(\sigma = \$2,500\)
The level of significance is \(\alpha =0.05\)
Generally the test statistics is mathematically represented as
\(z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }\)
=> \(z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }\)
=> \(z = -1\)
From the desired test, we have that:
a)
The null hypothesis is: \(H_0: \mu \geq 30000\)The alternative hypothesis is: \(H_1: \mu < 30000\)b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
\(H_0: \mu \geq 30000\)
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
\(H_1: \mu < 30000\)
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: \(\overline{x} = 29750, \mu = 30000, s = 2500, n = 100\)
Hence, the t-statistic is:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}\)
\(t = -1\)
The t-statistic is t = -1.
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When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
Answers
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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help me with this please i’ll give u a cookie
Answers
Answer:
B
Step-by-step explanation:
The flat rate is 30, and the changing value is 45 extra for every hour, h. The equation should be C=45h+30
Answer:
B
Step-by-step explanation:
The flat rate is 30, and the changing value is 45 extra for every hour, h. The equation should be C=45h+30
What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14
Answers
The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.
What is the inverse of maths tools?Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.
For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.
Therefore, a) The inverse of “Add 25” would be “Subtract 25.”What is the b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”
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Which expression product is modeled by the tiles(2x+1)(x+1)
Answers
\((2x + 1)(x + 1)\)
•Distribute
\((2x + 1)(x + )\)
\(2x(x + 1) + 1( x + 1)\)
•Distribute
\(2x(x + 1) + 1(x + 1)\)
\(2x² + 2x1(x + 1)\)
•Multiply
\(2x² + 2x + 1(x + 1)\)
\(2x² + 2x + x + 1\)
•Combine like terms
\(2x² + x + x + 1\)
\(2x²+ 3x + 1\)
Solution:
\(2x² + 3x + 1\)
Explanation:
see the graph
What triangle is formed by the points (3, 2), (4,7), and (5, 6)?
Answers
Answer:
PLEASE MARK ME BRAINLIEST!!!!!!!
Step-by-step explanation:
Isosceles Triangle
Answer:
Isosceles Triangle
Step-by-step explanation:
plz make me the Brainliest
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answers
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
2. Is this a graph of a function? Explain your reasoning.
y
6
4
2
2
4
6
8
X
Answers
This is not the graph of a function because there are two different values of \(y\( when \(x=2\).
Find two consecutive whole numbers that 60 lies between.
Answers
Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.
Answer: 50 and 100
Step-by-step explanation:
( sorry if this is not what you meant ;-; )
What is the slope of the line?
Answers
To find the slope, one will need to use the expression Δy/Δx (y final - y initial)/(x final - x initial)
For this problem, that equals 1/3
Now we will use the point slope form
(y - y initial) = m (x - x initial):
y + 1 = 1/3 (x - 2)
y = 1/3x - 5/3