Answer:
First one = 4
Second one = -8
Third = -20
Step-by-step explanation:
Plug x into the equation and you get the answers.
Please mark Brainliest if these are correct, thx.
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31
Answer:
y = (-1/2)x + 21/2
Step-by-step explanation:
Given equation:
y - 2x + 7
Coordinates = (5,8)
Find:
Perpendicular equation
Computation:
y = mx + c
y - 2x + 7
y = 2x - 7
So,
m = 2
The negative reciprocal of 2 is -1/2
So,
For,
Coordinates = (5,8)
y = mx + c
8 = (-1/2)(5) + c
8 = -5/2 + c
c = 8 + 5/2
c = 21 /2
So,
y = mx + c
y = (-1/2)x + 21/2
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?
Answer:
No, because they are parallel.
Step-by-step explanation:
The lines \(p\) and \(m\) will not intersect, so Kevin is not correct.
It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.
Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.
So, line p and m will not intersect.
Thus the answer is " No, because they are parallel."
Answer:
Step-by-step explanation:
no, because they are parrallel.
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately
σ
=
35.8
σ
=
35.8
dollars. You would like to be 98% confident that your estimate is within 10 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?
sample size of 6945 parents.
To determine the sample size, we can use the formula:
n = ((z*σ)/E)^2
where:
z = the z-score associated with the confidence level (98% confidence level corresponds to a z-score of 2.33)
σ = the population standard deviation (given as 35.8 dollars)
E = the margin of error (10 dollars)
Substituting the given values, we get:
n = ((2.33*35.8)/10)^2
n = (83.414)^2
n = 6944.4
Rounding up to the nearest A, we get a sample size of 6945 parents.
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Can someone help me pleaseeee
Answer:
B
Step-by-step explanation:
HELP PLS
Sid has a baseball cap collection. 75% of his caps have sports team symbols. If 24 of the caps have the team symbols, how many total caps does Sid have?
Actually forget this answer
snicker fun size 10.59oz the cost is 3.89 what is the price per ounce.
Step 1
Given;
\(\begin{gathered} \text{ Candy bars = 10.59oz} \\ \text{Cost}=\text{\$}3.89 \end{gathered}\)Required; To find the price per ounce
Step 2
State the ratio that can be used to find the price per ounce of the candy bars.
\(\begin{gathered} \frac{\text{\$}3.89}{x}=\frac{10.59oz}{1oz} \\ 3.89\times1=10.59x \\ x=\frac{3.89}{10.59} \\ x=\text{\$}0.3673276676 \\ x\approx\text{\$0.37} \\ \text{That is approxi}mately\text{ 37 cents} \end{gathered}\)One of the legs of a right triangle measures 3 cm and its hypotenuse measures 6 cm. Find the measure of the other leg
Answer: 27
Step-by-step explanation:
Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes way 2 lb, and her books (b) weigh 3 lb each. how many books can she carry in her backpack?
Answer:
Toni can carry a total of 5 books.
Step-by-step explanation:
\(1+2+3b\leq18\) - Write the inequality out .
\(3+3b\leq 18\) - Combine like terms.
\(3b\leq 15\) - Subtract 3 from both sides .
\(b\leq 5\) - Divide both sides by 3.
She can carry a max of 5 books.
Hope this helps!
Functions f(x) and g(x) have the following properties:
limx->4 f(x) = [infinity] limx->[infinity] g(x)=-5 (a) Using the given information, which of the following claims about f(x) can be made?
f(x) has a vertical asymptote at x= = 4.
f(x) has a horizontal asymptote at y = 4. As a approaches oo, f(x) approaches oo.
f(x) is continuous at x= 4.
Based on the given information, the claim that can be made about f(x) is that it has a vertical asymptote at x = 4.
The limit of f(x) as x approaches 4 is infinity, which suggests that f(x) becomes arbitrarily large as x gets closer to 4. This behavior indicates that there is a vertical asymptote at x = 4. A vertical asymptote is a vertical line that a function approaches but never crosses. In this case, as x approaches 4, f(x) goes to infinity, indicating that the function becomes unbounded near x = 4.
The other claims, such as f(x) having a horizontal asymptote at y = 4 or being continuous at x = 4, cannot be deduced from the given information. The limit of f(x) as x approaches infinity is not specified, so it is unknown whether f(x) approaches infinity or any other value as x tends to infinity. The continuity of f(x) at x = 4 cannot be determined solely based on its limits; it requires additional information about the function's behavior in the vicinity of x = 4. Therefore, the only valid claim that can be made is the presence of a vertical asymptote at x = 4.
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solve the equation for y 1/3x + y = 4
Answer:
y = -1/3x + 4
Step-by-step explanation:
y + 1/3x = 4
y = -1/3x + 4
a sample of customers from barnsboro national bank shows an average account balance of $315 with a standard deviation of $87. a sample of customers from wellington savings and loan shows an average account balance of $8350 with a standard deviation of $1800. which statement about account balances is correct?
Therefore , the solution of the given problem of standard deviation comes out to be correct option is (A)Barnsboro Bank has more variation.
Define Standard deviation.Variance is measured in statistics using variance. The average variation between the data and the mean is calculated by taking the square root of that value. By comparing each value to the mean, it incorporates all data points in its computations, in contrast to some other quantitative measures of variability. Variations may occur due to internal or external factors, and they may include things like unintentional errors, exaggerated expectations, and changing commercial or economic conditions.
Here,
Given :
=> CV =S/M
is the formula used to calculate a set's coefficient of variation.
where M stands for mean and S for standard deviation.
The set's variation increases with increasing coefficient.
Barnsboro National Bank: M = 315 and S = 87, resulting in a
=> CV = S/M
= >87/315 = 0.276.
Wellington S&L = M = 8350 and S = 1800, resulting in a
=> CV = S/M
= > 1800/8350 = 0.216.
The Bank of Barnsboro has a higher coefficient and more fluctuation.
Barnsboro Bank has greater variance, which is the correct answer (A).
Therefore , the solution of the given problem of standard deviation comes out to be correct option is (A)Barnsboro Bank has more variation.
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The complete question is "A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87. A sample of customers from Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800. Which statement about account balances is correct? (A)Barnsboro Bank has more variation. (B)Wellington S&L has more variation. (C)Both have the same variation."
Pleeeeease someone help!!! I will give brainliest!!! 31 POINTS IF U ANSWER!!
Answer:
Its going to be a line going straight across the 4 along the y axis .
Step-by-step explanation:
See graph attached
Answer:
put a dot on the y axis where the number 4 is
The next term in the geometric sequence -1, -2, -4, ... is -6. True or False
Answer:
False
Step-by-step explanation:
Geometric series have ratios.
The ratio here is 2.
So the next term should be -8.
a right square pyramid has the dimensions shown below.
E=177
H=12
S=103
What is the volume of the pyramid
The volume of a right square pyramid with base side length 103 and height 12 is 42,236 cubic units.
What is volume?Volume is a measure of the amount of space an object occupies, or the capacity of a container. It is usually measured in liters, gallons, or cubic meters.
The volume of a right square pyramid is calculated using the formula V = (1/3) * (base area) * (height). In this case, the base area is equal to the square of the length of the sides of the base (s²).
Therefore, the volume of the right square pyramid can be calculated as follows:
V = (1/3) * (s²) * (h).
Plugging in the values given in the question, we get
V = (1/3) * (103²) * (12) = 42,236 cubic units.
This is the volume of the right square pyramid with the given dimensions.
To summarize, the volume of a right square pyramid with base side length 103 and height 12 is 42,236 cubic units.
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on a monday a friend says he will meet you again in 31 days. what day of the week will that be? sunday monday tuesday wednesday thursday friday saturday
If someone says they will meet you again in 31 days on a Monday, then that meeting would occur on a week day of Thursday. so, the correct answer is E).
To determine the day of the week that is 31 days from a Monday, we can use the fact that there are seven days in a week. Since 31 is not evenly divisible by 7, we cannot simply add or subtract a certain number of days to find the day of the week.
Instead, we must use modular arithmetic. Specifically, we can take the remainder of 31 divided by 7, which is 3. This means that after 31 days, we will be three days ahead of Monday, so the day will be Thursday. Therefore, the day of the week that is 31 days from a Monday is Thursday. So, the correct option is E).
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what is the lateral surface area of the package design a design be
Answer:
46in²
Step-by-step explanation:
1/2 1 +5+3+1+3+14
46in²
What is the scale factor for the dilation of triangle ABC to produce triangle ABC?
The scale factor for the dilation of triangle ABC to produce triangle ABC is B 0.5 and C 2.
This is because the points for the triangles,
point A (-2, 2) (0.5) = (-1, 1) A'
point B (-2, -1) (0.5) = (-1, -0.5) B'
point C (3, -1) (0.5) = (1.5, -0.5) B'
Every coordinate point of the original triangle is multiplied by the scale factor 2. Therefore, the dilated triangle will be A’B’C’ and the coordinate points obtained are
point A (-2, 2) (2) = (-4, 4) A'
point B (-2, -1) (2) = (-4, -2) B'
point C (3, -1) (2) = (6, -2) B'
Complete question:
What is the scale factor for the dilation of triangle ABC
to produce triangle A'B'C'?
A. 0.25
B. 0.5
C. 2
D. 3
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Which table represents a linear function?
୦
X
1
no
2
4
y
-2
-6
-2
-6
Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.
In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.
The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.
This constant rate of change indicates that the relationship between x and y is linear.
In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.
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Melody is running in a 5K event. Her father
records her time at three places during the
event as shown in the table below.
Answer:
a
Step-by-step explanation:
i just know
Explain the meaning behind the expression ∫C (F →) ·
(d → r →), for a curve C and vector field F →. (arrows suppose to
be on top of each letter)
The expression ∫C (F →) · (d → r →) is the line integral of the dot product between the vector field F → and the differential displacement vector d → along the curve C, measuring their alignment along the curve.
The expression ∫C (F →) · (d → r →) represents the line integral of the dot product between a vector field F → and a differential displacement vector d → along a curve C.
Let's break down the components:
- ∫C denotes the line integral, which represents the cumulative sum of a quantity along a curve. In this case, we integrate over the curve C.
- F → represents a vector field, where each point in space has an associated vector. The vector field F → could represent physical quantities such as velocity, force, or any other vector-valued property.
- (d → r →) represents the differential displacement vector along the curve C. This vector describes an infinitesimally small displacement along the curve at each point.
- · denotes the dot product between two vectors. The dot product of two vectors yields a scalar quantity.
By combining these components, the expression ∫C (F →) · (d → r →) calculates the sum of the dot products between the vector field F → and the differential displacement vector d → as we move along the curve C. This sum is taken over the entire curve, resulting in a single scalar value.
In simpler terms, this line integral measures how much the vector field F → is aligned with the tangent vector to the curve C at each point, and it accumulates this alignment along the entire curve. It provides information about the overall effect or flow of the vector field along the curve C.
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write 500m out of 4km as a percentage
Answer:
∴ 5.5% is 55 m of 1 km.
___________________
What is the decimal value of the 2 in the hexadecimal number F42AC16? a) 409610, b) 51210, c) 25610, d) 210
The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.
To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.
In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072. None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.
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find the apr, or stated rate, in each of the following cases. (do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. use 365 days in a year.)
The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.
How to find the calculation for determining the APR or stated rate?The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.
To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:
APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1
The nominal interest rate is the stated rate without taking compounding into account.
The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.
By applying the formula and considering the appropriate compounding periods, we can determine the APR.
The APR is an important metric as it allows for easy comparison of interest rates across different financial products.
It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.
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Suppose you have an outdoor vegetable garden with dimensions 2 mx2 m. A storm lasting 1 hr delivers 0.8 inches of rain. a. What is the storm rainfall flux? Express your answer using each of the following units: m 2
hr
kgliquid water m 2
hr
lb liquid water m 2
hr
liters liquid water m 2
hr
gallons liquid water b. How much liquid water fell on your garden? Express your answer using each of the following units:
The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.
Dimensions of outdoor vegetable garden = 2 m × 2 m
Storm rainfall = 0.8 inches of rain
Time of storm = 1 hr(
a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:
Rainfall flux = (Amount of rainfall) / (Area × Time)
Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:
Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)
Converting inches to meters, we get:
1 inch = 0.0254 m
Therefore,
Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr
Converting the rainfall flux to other units:
In kg/hr:
1 kg of water = 1000 g of water
Density of water = 1000 kg/m3
So, 1 m3 of water = 1000 kg of water
So, 1 m2 of water of depth 1 m = 1000 kg of water
Therefore, 1 m2 of water of depth 1 mm = 1 kg of water
Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr
In lbs/hr:
1 lb of water = 453.592 g of water
So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr
In liters/hr:
1 m3 of water = 1000 L of water
So, 1 m2 of water of depth 1 mm = 1 L of water
Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr
In gallons/hr:
1 gallon = 3.78541 L
So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr
(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.
Volume = Area × Depth.
The area of the garden is 2 m × 2 m.
We need to convert the rainfall amount to meters.
1 inch = 0.0254 m
Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m
Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3
Converting the volume to other units:
In liters:
1 m3 of water = 1000 L of water
Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L
In gallons:
1 gallon = 3.78541 L
Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.
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What is the tallest and shortest plant heights ?
In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.
For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.
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Find a formula for a geometric sequence that begins 81, 54, 36,...
The formula for the geometric sequence that begins with the terms 81, 54, 36, and so on is:
aₙ = 81 * (1/3)^(n-1)
To find a formula for a geometric sequence that begins with the terms 81, 54, 36, and so on, we need to determine the common ratio between consecutive terms.
By observing the sequence, we can see that each term is obtained by dividing the previous term by 3. Hence, the common ratio is 1/3.
Let's denote the first term as a₁ and the common ratio as r.
a₁ = 81 (the first term)
r = 1/3 (the common ratio)
The general formula for a geometric sequence is given by:
aₙ = a₁ * r^(n-1)
where aₙ represents the nth term of the sequence.
Substituting the values we have:
aₙ = 81 * (1/3)^(n-1)
The formula for the geometric sequence that begins with the terms 81, 54, 36, and so on is:
aₙ = 81 * (1/3)^(n-1)
Using this formula, you can find any term in the sequence by substituting the corresponding value of n.
For example, to find the 5th term of the sequence, you would substitute n = 5 into the formula:
a₅ = 81 * (1/3)^(5-1)
a₅ = 81 * (1/3)^4
a₅ = 81 * (1/81)
a₅ = 1
The 5th term of the sequence is 1.
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Please help it’s due today
Answer:
x = 2/3
Step-by-step explanation:
cross multiply
-9(x-4) = 10(3x+1)
and then solve the equation
-9x + 36 = 30x + 10
36 = 39x + 10
26 = 39x
x = 2/3
mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. a recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. the recruiting office randomly surveys 46 entry level mechanical engineers and 52 entry level electrical engineers. their mean salaries were $46,100 and $46,900, respectively. their standard deviations were $3450 and $4230, respectively. conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. let the subscript m = mechanical and e = electrical. i. In words, state what your random variable X- Xe represents ii. State the distribution to use for the test. (Enter your answer in the form z or taf where df is the degrees of freedom. Round your answer to two decimal places.) iii. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) iv. What is the p-value? (Round your answer to four decimal places.) v. Alpha (Enter an exact number as an integer, fraction, or decimal.)
Answer:
i. X represents the difference between the mean entry-level mechanical engineering salary and the mean entry-level electrical engineering salary.
ii. t distribution with df = 96
iii. t = -2.38
iv. p-value = 0.0190
v. Alpha = 0.05
i. The random variable X - Xe represents the difference in mean salaries between mechanical engineering (X) and electrical engineering (Xe).
ii. We used the t-distribution for the test due to unknown population standard deviations and relatively small sample sizes.
iii. The calculated test statistic is -2.1095.
iv. The degrees of freedom for the t-distribution are approximately 113242.
v. The p-value associated with the test statistic and degrees of freedom is approximately 0.0001.
i. The random variable X - Xe represents the difference in mean salaries between mechanical engineering (X) and electrical engineering (Xe).
ii. We will use the t-distribution for the test since the population standard deviations are unknown, and the sample sizes are relatively small (less than 30).
iii. The test statistic for this hypothesis test is calculated as:
\(t = (X - Xe) / \sqrt(s_m^2 / n_m) + (s_e^2 / n_e))}\)
Where:
X = sample mean for mechanical engineering
Xe = sample mean for electrical engineering
Sm = standard deviation for mechanical engineering
Se= standard deviation for electrical engineering
nm = sample size for mechanical engineering
ne = sample size for electrical engineering
t = (46100 - 46900) / √(3450² / 46) + (4230² / 52))
= -800 / √(3450² / 46) + (4230² / 52))
= -800 / 379.4303
= -2.1095
iv.
Calculating the degrees of freedom:
df = (3450² / 46 + 4230² / 52)² / ((3450² / 46)² / (46 - 1) + (4230² / 52)² / (52 - 1))
= (119023.913 + 180714.2308)² / ((119023.913)² / 45 + (180714.2308)² / 51)
= 113242.1436
The degrees of freedom are approximately 113242.
Now, we need to find the p-value associated with the test statistic and degrees of freedom.
We can use a t-distribution table to look up the p-value.
Since the test is one-tailed and the test statistic is negative, we will look up the p-value in the left tail of the t-distribution with the given degrees of freedom.
Assuming the p-value is less than 0.0001, we can state that the p-value is approximately 0.0001.
v. To conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.
So, the significance level (alpha) is given as 5%.
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what is the mean for 5 1 15 43 9 9 11 11 14 12 36 and 6
(Use mad)
Answer:
The mean is 14.3
Step-by-step explanation:
:)
You will have to add all of the numbers up and then divide by how many numbers you see
5+ 1+ 15+ 43+ 9+ 9+ 11+ 11+ 14+ 12+ 36+ 6= 172
Now we will count how many number there are.
there are 12 numbers.
Now we divided 172 and 12 to get the Mean(Average)
We get 14.3333333 as our Mean if we simplify you get 14.3
Which of the following numbers is the SMALLEST?
(45 points)
Answer:
pretty sure its yellow sorry if its wrong
Step-by-step explanation:
Answer:
Hi! The answer to your question is C. 9 x \(10^{2}\)
Step-by-step explanation:
※※※※※※※※※※※※
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