0.025 in scientific notation is 2.5 × 10⁻².
To express 0.025 in scientific notation, we need to convert the decimal form to a number multiplied by a power of 10.
Here's how you can do it step by step:
Start with the given decimal number: 0.025.
Identify the non-zero digit. In this case, it is 2.
Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. In this case, we moved the decimal point two places to the right.
0.025 -> 2.5
Write the non-zero digit (2.5) as a decimal number.
Finally, express the power of 10 that represents the number of places you moved the decimal point. Since we moved the decimal point two places to the right, the power of 10 is -2.
Putting it all together, we have:
0.025 = 2.5 × 10⁻²
Therefore, 0.025 in scientific notation is 2.5 × 10⁻².
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The car salesman tells you that the car can go from a stop position to 60 mph in six seconds he's giving you the cars rate of
Answer:
acceleration i think
Step-by-step explanation:
In dogs, the drug carprofen has a half-life of 8 hours. If a veterinarian gives a dog an 80-milligram dose, how long will it take for the amount of carprofen in the dog to reach 10 milligrams?
Final answer:
Using the half-life formula, it would take 24 hours for the amount of carprofen to reduce from an initial dose of 80 milligrams to 10 milligrams.
Explanation:
To calculate the time it will take for the amount of carprofen to decrease from 80 milligrams to 10 milligrams in a dog, given the half-life of 8 hours, the exponential decay formula can be used. The half-life formula is:
[tex]C = C0 \times (1/2)^{(t/T)[/tex]
C is the final concentration of the drug.C0 is the initial concentration of the drug.t is the time elapsed.T is the half-life of the drug.Let's set up the equation using the given values:
[tex]10 mg = 80 mg \times (1/2)^{(t/8 hours)[/tex]
Now, we solve for t:
[tex]10/80 = (1/2)^{(t/8)[/tex]
[tex]1/8 = (1/2)^{(t/8)[/tex]
To find the exponent t/8 that makes this equation true, we can use logarithms:
log2(1/8) = t/8
-3 = t/8
t = -3 * 8
t = -24 hours
The negative result is due to the fact that we are finding a factor by which the concentration is reduced. To get the actual time elapsed, we take the absolute value:
t = 24 hours
Therefore, it would take 24 hours for the amount of carprofen to reduce to 10 milligrams.
Andrew estimated the weight of his dog to be 60 lb. The dog’s actual weight was 68 lb. What was the percent error in Andrew’s estimate? Round your answer to the nearest tenth of a percent. __________ %
what is the other measurement of the shape?
for the length of the side that is not given:
look at it as part of a triangle with the legs being 4m tall by 6 m wide
so 4^2 + 6^2 = X62
16+36 = 52^2
square root(52) = 7.211 m
does it as to round of to nearest whole number? nearest tenth?
round off answer as needed
What are the values of a1 and r of the geometric series?
2 – 2 + 2 – 2 + 2
Answer: For the given geometric series, the first term is [tex]a_1=2[/tex] and the common ratio is [tex]r=-1.[/tex]
Step-by-step explanation: We are given to find the values of [tex]a_1[/tex] and [tex]r[/tex] of the following geometric series:
[tex]2-2+2-2+2-~.~.~..[/tex]
We know that
[tex]a_1[/tex] is the first term and [tex]r[/tex] is the common ratio of the given geometric series.
We can see that the first term of the given geometric series is 2.
So. we must have
[tex]a_1=2.[/tex]
Also, common ratio is found by dividing a term by its preceding term.
Therefore, the common ratio [tex]r[/tex] of the given geometric series is
[tex]r=\dfrac{-2}{2}=\dfrac{2}{-2}=~.~.~.~=-1.[/tex]
Thus, for the given geometric series, the first term is [tex]a_1=2[/tex] and the common ratio is [tex]r=-1.[/tex]
Choose the solution for the equation.
d3=284? need help asap
Answer:
the answer is A
Step-by-step explanation:
ttm
Two standard number cubes are thrown, one after the other. What is the probability that the first cube lands showing a 1 and the second cube lands showing a number that is not 1? Round the answer to the nearest thousandth.
Answer:
B on edge
Step-by-step explanation:
A triangle has a perimeter of 10x+2. Two sides have lengths of 5x and 2x+9. What is the length of the 3rd side?
Use the number 913,256. Write the name of the period that has the digits 913.
Which are the roots of the quadratic function f(q) = q2 – 125? Check all that apply. q = 5 q = –5 q = 3 q = –3 q = 25 q = –25
Answer:
q=5 sqrt 5 and q=-5 sqrt 5
Step-by-step explanation:
got it right on edge :)
The roots of the quadratic function f(q) = q^2 − 125 are q = -5 and q = 5. Other options listed do not satisfy the function. The roots are found by factoring the equation as a difference of squares.
Explanation:The roots of the quadratic function f(q) = q2 − 125 can be found by solving the equation q2 − 125 = 0. To find the roots, we need to factor the quadratic or use the square root property since the equation is already set to zero.
We can see that this is a difference of squares equation, so it factors to (q + 5)(q - 5) = 0. Setting each factor equal to zero gives us q = -5 and q = 5.
So, the roots of the quadratic function are q = -5 and q = 5. The other options given (q = 3, q = -3, q = 25, q = -25) do not satisfy the equation f(q) = q2 − 125 = 0, hence they are not roots of this function.
Can two numbers have a GCF that is bigger than their LCM? Explain how you know?
can anone help me please
a. The perimeter of the triangle is 18 cm. b. The area of the triangle is 24 cm². c. Tiling the triangle at $7 per square centimeter would cost $168.
a. Perimeter:
Perimeter} = 5 + 5 + 8 = 18 cm
b. Area:
Use Heron's formula since the sides are known:
[tex]\[ s = \frac{5 + 5 + 8}{2} = 9 \] \[ \text{Area} = \sqrt{s(s-5)(s-5)(s-8)} \] \[ \text{Area} = \sqrt{9 \times 4 \times 4 \times 1} = \sqrt{576} = 24 \, \text{cm}^2 \][/tex]
c. Cost to Tile:
If the cost is $7 per square centimeter:
[tex]\[ \text{Cost} = \text{Area} \times \text{Cost per square centimeter} \] \[ \text{Cost} = 24 \times 7 = 168 \][/tex]
Therefore,
a. Perimeter = 18 cm
b. Area = 24 cm²
c. Cost to Tile = $168
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"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"
The probability that z lies between 0 and 3.01 P(0<z<3.01) = 0.4987.
What is z- score?The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.
Given:
Probability between z = 0 and z = 3.01 is given by
As, P(0<z<3.01)
= P(z<3.01) - P(z<0)
So, the z score values are
P(z<0) = 0.5
and, P(z<3.01) = 0.9987
Hence, the probability that z lies between 0 and 3.01 P(0<z<3.01) = 0.4987.
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1. An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line. How many different ways can they sit if the elf and the dwarf insist on sitting next to each other?
a. 6 ways
b. 48 ways
c. 36 ways
d. 12 ways
e. 24 ways
2. How many ways can you order a hamburger of you can order it with or without cheese, lettuce, tomatoes, pickles, or onions?
a. 10
b. 32
c. 64
d. 5
Final answer:
In this question, the arrangements of characters sitting together and the options for hamburger toppings are explored using permutations and combinations in Mathematics for High School.
Explanation:
(1) When the elf and the dwarf insist on sitting next to each other, treat them as one entity. Then, there are 4 entities: {elf & dwarf}, hobbit, wizard, man. This gives 4! ways to arrange them, and the elf and dwarf can be arranged within their entity in 2! ways.
So, the total ways are 4! x 2! = 48 ways.
(2) For the hamburger order, since you can choose to include/exclude each topping independently, there are 2 options for each topping (with or without).
Hence, the total ways to order the hamburger are 2⁵ = 32 ways.
whats the value of the equation
13x-2(x+4) = 8x+1 =
13x-2x-8 = 8x+1=
11x-8 = 8x+1
-8 =-3x+1=
-9 = -3x
x = -9/-3 = 3
x = 3
Lily is standing at horizontal ground level with the base of the Sears Tower. The angle formed by the ground and the line segment from her position to the top of the building is 15.7°. The Sears Tower is 1450 feet tall. Find Lily's distance from the Sears Tower to the nearest foot.
During a sale, a dress decreased in price from $90 to &63. What was the percent of decrease?
the quadratic formula gives which roots for the equation 2x^2+x-6=0
The quadratic formula gives two roots for a quadratic equation. The roots of the equation 2x²+x-6=0 are 1.5 and -2.
Explanation:The quadratic formula gives the roots of a quadratic equation of the form ax²+bx+c=0. For the equation 2x²+x-6=0, the values of a, b, and c are 2, 1, and -6, respectively.
Using the quadratic formula, we can calculate the roots:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values of a, b, and c into the formula:
x = (-1 ± √(1² - 4*2*(-6))) / (2*2)
Simplifying the expression:
x = (-1 ± √(1 + 48)) / 4
x = (-1 ± √49) / 4
x = (-1 ± 7) / 4
Therefore, the roots of the equation 2x²+x-6=0 are:
x = (-1 + 7) / 4 = 3/2 = 1.5
x = (-1 - 7) / 4 = -8/4 = -2
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Which measure of variability is the most appropriate for this set of values?
13, 42, 104, 36, 28, 6, 17
Answer:
in other words that guy said E
Step-by-step explanation:
which expression is equivalent to (4h^7k^2)^4?
A: 16h^11k^6
B: 16h^28k^8
C; 256h^11k^6
D: 256h^28k^8
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex](4h^7k^2)^4[/tex]
We need to simplify this :
Here we go:
We will apply :
[tex](a^m)^n=a^{mn}[/tex]
[tex](4h^7k^2)^4\\\\=4^4\times (h^7)^4\times (k^2)^4\\\\=256h^{28}k^8[/tex]
Hence, option 'D' is correct.
The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of a is negative and the value of b is zero. Where could point P be located on the coordinate plane?
Select one or more:
Quadrant I
Quadrant II
Quadrant IV
Quadrant III
x-axis
y-axis
Answer:
X-axis.Step-by-step explanation:
Givens
We have point which coordinates are (a,b)The value of a is negative.The value of b is zero.Now, remember that all coordinates with the form (a,0), represents points on the x-axis, because the y-coordinate is zero.
In this case, we have negative horizontal coordinates and a null vertical coordinate, like (-a,0).
This points is on the x-axis, because y-value is null. Actually, it's on the negative part of x-axis, because its horizontal coordinate is negative.
Therefore, the right answer is x-axis.
The rounding rule for the correlation coefficient requires three decimal places true or false
Answer:
Round the value of r to three decimal places.
Step-by-step explanation:
The rounding rule for the correlation coefficient requires three decimal places
this statement is true.
The correlation coefficient in statistics is a parameter which measures the degree of strength of relation between two variables .
Its value lies between -1 to +1 .
The closer the correlation coefficient will be near to 1 the stronger the correlation will be.
The correlation between two variables can be positive or negative
Correlation coefficients are helpful in determining the functional relationships among the variables
So higher magnitude of correlation coefficients lead to accurate functional relation among variables.
The rounding rule for the correlation coefficient requires three decimal places
this statement is true.
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Steps to solve y=3x + 8
which expression represents the distance between the two points x and y on the number line -4 and 3
Answer with explanation:
The two points on the number line are
x = -4
y=3
The distance is a positive Quantity.
So, Distance between x and y can be written as:
=|x-y| or |y-x|
=|3-(-4)| or |-4-3|
=|3+4| or |-7|
=|7| or |-7|
=7 Units
The expression will be : =|x-y| or |y-x|
=|3-(-4)| or |-4-3|
Let g(x) = x - 3 and h(x) = x2 + 6. What is (h o g)(1)?
The circle will be dilated by a scale factor of 6. What is the value for n if the expression nPI represents the circumference of the circles in inches?
The value of n is 12 .
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
According to the question
The circle will be dilated by a scale factor of 6 .
so,
New radius of the circle R = 6r
As is it dilated by a scale factor of 6
Now ,
The circumference of the new circles = 2πR
= 2.6π
= [tex]12\pi r[/tex] -------------------- (1)
and given circumference of the new circles = nπ ---------------------(2)
when we compare both n = 12
Hence, the value of n is 12 .
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Write an appropriate inverse variation equation if y = 9 when x = 3.
To keep heating costs down for a structure, architects want the ratio of surface area to volume as small as possible. An expression for the ratio of the surface area to volume for the square prism shown is . Find the ratio when b = 12 ft and h = 18 ft.
FIND THE FOLLOWING USING THE GIVEN TRIANGLE...PLEASE HELP ME SUCK AT MATH...SOS!!! ASAP!!!!
perimeter = 20 +20 +24 = 64 feet
area = 12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 256
x = sqrt(256) = 16 feet
area = 1/2 x 16 x 24 = 192 square feet
cost = 192 x $2 = $384
Determine the angular velocity, in radians per second, of 4.3 revolutions in 9 seconds. Round the answer to the nearest tenth.