Answer:
7.5 x 10^2
~theLocoCoco
Answer:
7.5 x 10²
There really isn't much of an explanation other than writing it in scientific notation.
Ebony is cutting dough for pastries in her bakery. she needs all the pieces to be congruent triangles and has ensured that segment ef ≅ segment on and ∠mon ≅ ∠gef. what would ebony need to compare in order to make sure the triangles are congruent by sas? segment om and segment ef segment eg and segment om segment nm and segment fg segment eg and segment mn
The parts of the triangles Ebony needs to compare so as to make sure both triangles are congruent by SAS are;
\( \overline{EG} \) and \( \overline{OM}\)What are congruent triangles?Two triangles are said to be congruent when the three sides and three interior angles of one triangle have the same measure as the three sides and the three interior angles of the other triangle.
The given triangles are ∆MON and ∆GEF
The segments and angles that Ebony has ensured are congruent are;
\( \overline{EF} \cong \overline{ON}\)
\( \angle{ MON} \cong \angle{ GEF}\)
The method by which Ebony intends to use to make sure that the two triangles are congruent, SAS, Side–Angle–Side congruency postulate.
The Side–Angle–Side congruency postulate states that two triangles are congruent if two sides and an included angle in one triangle are congruent to the corresponding two sides and included angle in the other triangle.
Given that the sides that form included angles with \( \angle{ MON} \) are \( \overline{ON}\) and \( \overline{OM}\) and the sides that form an included angle with \( \angle{ GEF}\) are \( \overline{EF} \) and \( \overline{EG} \), the other segments Ebony needs to compare are therefore the segments;
\( \overline{EG} \) and \( \overline{OM}\)
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Whats 21 square root of 98 divided by 7 square root of 21
The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407
A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.
Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.
Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.
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students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?
In the experiment, the independent variable is the amount of sunlight received by the clover plants.
The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.
The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.
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for what values of a are the following expressions true:|a+5|=a+5
Answer:
|a+5|=a+5
Step-by-step explanation:
if a>-5 or a= -5 |a+5|=a+5
if a< -5 |a+5|= -a-5
If the point A at (5, 3) is rotated clockwise about the origin through 90°, what
will be the coordinates of the new point?
Answer:
(5,-3) in the 4th quadrant
Step-by-step explanation:
simplify
x - ( - 6 x )
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
If i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is.
The probability that tails appears on the next toss is 0.5
Given,
In the question:
If I toss a fair coin five times and the outcomes are TTTTT,
To find the probability that tails appears on the next toss is.
Now, According to the question:
The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.
A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T} is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .
The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH} or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5
Hence, the probability that tails appears on the next toss is 0.5
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Jason started last week with $900 in his checking account. During the week, he wrote the checks below. At the end of the week, jason recurved a paycheck for $534.59. He recorded all of these transactions in his check register. Evaluate jason’s check register. A. Jason did a good job; everything is correctly.
Answer:
D
Step-by-step explanation:
PLATO/ Edmentum
Find the volume of the shape with the given dimensions 8 in by 5 in by 3 in
Answer:
V = (8 in)(5 in)(3 in) = 120 in^3
Step-by-step explanation:
The likeliest name for this shape is "rectangular prism." Let's assume that the length, L, is 8 in; the width, W, is 5 in; and the height, H, is 3 in.
Then the volume of this rectangular prism is V = L * W * H, or
V = (8 in)(5 in)(3 in) = 120 in^3
Assume that you graph lines f and g on the same coordinate plane and they intersect at point (4, 5). Which of the following statements is NOT true.
The statement that is not true is the fourth one.
"Other points that are on line f are also solutions of the system".
Which one of the given statements is not true?We know that the graphs of lines f and g intercept at the point (4, 5). So trivially, the point (4, 5) belongs to both graphs.
That also means that (4, 5) is the solution of the system of equations:
y = f(x)
y = g(x).
And because these two are lines, these will intercept only once, then (4, 5) is the only solution of the system.
That means that the correct option (the false statement) is the fourth one.
"Other points that are on line f are also solutions of the system".
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A van can ferry a maximum of 12 people. By setting up an inequality, find the maximum number of vans that are needed to ferry 80 people
By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.
To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.
Since a van can ferry a maximum of 12 people, we can write the inequality as:
12v ≥ 80
Now, let's solve for "v":
Divide both sides of the inequality by 12.
v ≥ 80/12
Simplify the inequality.
v ≥ 6.67
Since we cannot have a fraction of a van, we need to round up to the nearest whole number:
v ≥ 7
Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.
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3.31×10 −5
g to micrograms
3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.
To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.
In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:
= 3.31×\(10^-^5\) g × 1,000
= 3.31×\(10^-^5\) × 1,000
= 3.31×\(10^-^5\) × \(10^{3}\)
= 3.31×\(10^(^-^5^+^3^)\)
= 3.31×\(10^-^2\)
= 0.0331 μg
Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.
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In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?
Answer:
2035
Step-by-step explanation:
2010=100g
2020=70
100-70=30
70-30=40
2030=40
Answer:
Somewhere in 2038
Step-by-step explanation:
In 2010 in there was 100g of a certain radioactive isotope
In 2020 now there’s 70g of a certain radioactive isotope
what changed,?
In 10 years they lost 30g of radioactive isotope
Therefore
Year 2030 there will be 50g
Year 2035 there will be 35g
Year 2040 there will be 20g
But we want to get 25g in how many years
1 year takes 3g
2 year takes 6g
3 year takes 9g
4 year takes 12g
But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..
What are the first 5 multiples of 150
Answer:
150, 300, 450, 600, 750
Step-by-step explanation:
If it is 2$ and it was 75 percent off what is the original price?
Answer:
$8
Step-by-step explanation:
If it's 75% of that mean 2=25%
multiply it by 4 to get 8
PLEASE HELP URGENT!!!!!!!! NUMBER 46 AND 47!!!!!!!!!!!!!!
Answer:
46 is d I'm not sure for 47 but I think it's c not sure tho
i need help pleaseee!!
Step-by-step explanation:
A= πr^2
A = 8^2×π=64π= 201.06 ft^2
Seanhas$72,150inasavingsaccount.Theinterestrateis11%peryearandisnotcompounded.Howmuchinterestwillheearnin8months?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $5,291.
Step-by-step explanation:
We can just use the formula I=p*r*t or I=prt.
We know that p (principal)=72,150
We know that interest rate as a decimal would be 0.11 (11/100)
and the time in years is 8/12 years, or 2/3 years,
Now to solve
72,150x0.11x(2/3)=5,291.
What piece of evidence could Quinn add to best strengthen her argument?
Answer: A.
Step-by-step explanation: Its seems the only one on topic
Find the mean of the life spans of the farm animals.
Farm Animal Life Span
chicken
duck
horse
pig
sheep
COW
goat
7 years
10 years
22 years
10 years
12 years
10 years
12 years
OA. 10 years
OB. 11.9 years
O C. 12 years
OD. 15 years
Answer:
Step-by-step explanation:
The mean would be 11.857142857143 , so basically 11.9
The mean life span of the given farm animals is approximately 11.9 years, obtained by adding up all the individual life spans and dividing the total by the number of animals.
Explanation:The question asks for the mean, or average, of the life spans of various farm animals. Here's how we calculate it:
Add up all the individual life spans: 7 (chicken) + 10 (duck) + 22 (horse) + 10 (pig) + 12 (sheep) + 10 (cow) + 12 (goat) = 83 years.Divide the total by the number of animals (7 in this case): 83 ÷ 7 = 11.857 years, rounded to the nearest tenth.Therefore, the mean life span of these farm animals is approximately 11.9 years, which corresponds to option B.
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what is the diameter of a sphere with a volume of 944 cm 3 , 944 cm 3 , to the nearest tenth of a centimeter?
The required diameter of the sphere for the given volume of the sphere is equal to 12.2 cm (rounded to one decimal place)
Volume of the sphere = 944cm^3
Let us consider V be the volume of the sphere.
And r be the radius of the sphere.
The formula for the volume of a sphere is,
V = (4/3) × π × r^3
Solve for the radius of the sphere by rearranging the formula as follows,
⇒ r^3 = (3/4) × (V/π)
⇒r = [(3/4)×(V/π)]^(1/3)
Substituting V = 944 cm^3, we have,
⇒ r = [(3/4) ⇒ (944/π)]^(1/3)
⇒r ≈ 6.08 cm
⇒r ≈ 6.1 cm (rounded to one decimal place)
The diameter of the sphere is twice the radius, so the diameter is,
d = 2r
≈ 12.2 cm (rounded to one decimal place)
Therefore, the diameter of the sphere with a volume of 944 cm^3 to the nearest tenth of a centimeter is 12.2 cm.
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Use the area of the rectangle to find the area of the triangle.
5 ft
10 ft
A. The area of the triangle is 25 square feet, because the area of the
rectangle is 25 square feet.
B. The area of the triangle is 25 square feet, because the area of the
rectangle is 50 square feet.
O C. The area of the triangle is 50 square feet, because the area of the
rectangle is 50 square feet
O D. The area of the triangle is 50 square feet, because the area of the
rectangle is 100 square feet
Answer:
C is the answer
Step-by-step explanation:
sorry if wrong that is the answer i got.
Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 1+i, 1 The polynomial function in expanded form is f(x) =
The polynomial function in expanded form is f(x) = x² - 3x² + 4x - 2.
A polynomial function with rational coefficients that has the given numbers as zeros, considering their conjugates . Since 1+i is a zero, its conjugate 1-i must also be a zero.
Using the zero-product property, that if a polynomial has a zero at a given number, then the polynomial must have a factor of (x - zero). Therefore, the polynomial function with the given zeros can be written as:
f(x) = (x - (1+i))(x - (1-i))(x - 1)
Expanding this expression,
f(x) = ((x - 1) - i)((x - 1) + i)(x - 1)
= ((x - 1)² - i²)(x - 1)
= ((x - 1)² + 1)(x - 1)
= (x² - 2x + 1 + 1)(x - 1)
= (x² - 2x + 2)(x - 1)
= x² - 2x² + 2x - x² + 2x - 2
= x² - 3x²+ 4x - 2
.
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Can someone plz help me with this percentage problem!!!
Answer:
75%
Step-by-step explanation:
Answer:
A... 25%
Step-by-step explanation:
75/300 = 1/4
0.25 = 25%
Find the missing side length, N.
We know these triangles are congruent with the missing side, N would be equal to 15.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We know these triangles are congruent.
To find the missing side, N
ΔABC ≅ΔQRS
AC/QS = BC/RS
2/5 = 6/n
n = 6 x 5/2
n = 30/2
n = 15
Thus, the value of N is 15.
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the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age
Answer:
21
Step-by-step explanation:
Since the girls have the same age, let their age be x.
Then, their average is
\(\frac{x+x}{2} = \frac{2x}{2} = x\)
Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)
Also, we have,
\(\frac{S_{8}}{8} =15 - eq(2)\)
\(\frac{S_{6}}{6} =13 - eq(3)\)
Then eq(2):
(from eq(1) and eq(3))
\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)
The average of the other two girls with equal age is 21
I've got a problem and I need solving! Please find the answer.
Answer: x= 4y/7 - 1/7
7x/4+ 1/4
Step-by-step explanation:
GEOMETRY HELP ASAP !!!!
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy the above onto your computer for future reference
sin(g) = 420/427
tan(z) = 77/420
cos(z) = 420/427
sin(m) = 427/427
part (E) the sin of any right angle will be 1 :)
Answer:
Solution given:
Sin G=opposite/hypotenuse=420/427
TanZ=Opposite/adjacent=77/420
CosZ=adjacent/hypotenuse=420/427
Sin M=opposite/hypotenuse=427/427=1
the quantity 2.67 × 103 m/s has how many significant figures?
The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.
Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.
For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.
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Simplify this expression. 17 - 12x - 18 - 5x = ??