Given:
△BCD≅△GEF , BC=10 , CD=3x+8 , EF=4x+6.
To find:
The measure of CD .
Solution:
We have,
\(\Delta BCD\cong \Delta GEF\)
Now,
\(CD=EF\) (By CPCT)
\(3x+8=4x+6\)
Isolate variable terms.
\(8-6=4x-3x\)
\(2=x\)
So, put x=2 in\(CD=3x+8\).
\(CD=3(2)+8\)
\(CD=6+8\)
\(CD=14\)
Therefore, the measure of CD is 14 units.
if there is a very weak correlation between two variables, then the coefficient of determination must be group of answer choices
Answer:
If there is a very weak correlation between two variables, then the coefficient of determination (R-squared) must be low as well.
This is because the coefficient of determination measures the proportion of variance in the dependent variable that can be explained by the independent variable(s).
When the correlation between the variables is weak, there is less variance in the dependent variable that can be explained by the independent variable(s), resulting in a lower R-squared value. So, the answer is "low".
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6x+7y+9
24xy
9x+7y+8
9x+7+6+2
5x+4x2y+5y+4+4
Answer:
40+33x+24xy
chile who gave you this problem?
find the perimeter .
Answer:
61& 7/20
Step-by-step explanation:
) suppose that the group of ten students consists of six freshmen and four sophomores. in how many different ways can four equal scholarships be distributed if at least two of the scholarships should be awarded to freshmen?
There are 90 different ways in which the four scholarships can be distributed such that at least two are awarded to freshman students.
We first need to determine the number of ways in which we can choose two of the six freshman students to receive scholarships. This can be done using the binomial coefficient formula: \(${6 \choose 2} = 15$\).
Next, we need to determine the number of ways in which we can choose two of the four sophomore students to receive scholarships. This can also be done using the binomial coefficient formula: \(${4 \choose 2} = 6$\)
Finally, we need to multiply these two values together to get the total number of ways in which the scholarships can be distributed: 15 * 6 = 90. Therefore, there are 90 different ways in which the four scholarships can be distributed such that at least two are awarded to freshman students.
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1-Classify each triangle by its angles and sides.
a. ΔABE: is a Right Angled Triangle (Has angle 90°)
b. ΔBEC: is an Isoceles Triangle (Has two sides equal)
c. ΔDEF: is an Equilateral Triangle (Has all sides equal)
d. ΔCDF: is a Scalene Triangle (Has no sides equal)
What are Triangles?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
Properties of a TriangleThe sum of all three interior angles of a triangle is always equal to 180⁰.The sum of the length of any two sides of a triangle is always greater than the length of the third side.The area of a triangle is equal to half of the product of its base and height.Types of TrianglesTriangles can be classified based on the length of the sides or their angle measurements.
Acute Triangle or Acute-angled TriangleRight Triangle or Right-angled TriangleObtuse Triangle or Obtuse-angled TriangleThe types of triangles based on the length of the sides are –
Scalene triangleIsosceles triangleEquilateral triangleΔABE: Right Angled Triangle (Has angle 90°)
ΔBEC: Isoceles Triangle (Has two sides equal)
ΔDEF: Equilateral Triangle (Has all sides equal)
ΔCDF: Scalene Triangle (Has no sides equal)
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Which choice is equivalent to the quotient shown here for acceptable
values of x?
√12(x-1)+√√2(x-1)²
For acceptable x values of √12(x-1)+√√2(x-1)², the option is equivalent to the quotient given here (x-1) ² is \($2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\\) .
How do you find the quotient of a set?The equivalent of the quotient displayed above for allowable x values is
\($\sqrt{1} \cdot 2(x-1)+\sqrt{\sqrt{2}}(x-1)^2$\)
\($2(x-1)+\sqrt[2 \cdot 2]{2}(x-1)^2$\\\)
\(\$2(x-1)+\sqrt[4]{2}(x-1)^2$\\$(2 x-2)+\sqrt[4]{2}\left(x^2+2 x(-1)+(-1)^2\right)$\\$(2 x-2)+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x-2+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x+\sqrt[4]{2}\left(x^2-2 x+1\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-\sqrt[4]{2} \cdot 2 x+\sqrt[4]{2}\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}\right)-2$\\$2 x+\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}-2$\)
\($f(x)=\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$\)
\($\frac{d}{d x}\left(\sqrt{12(x-1)}-\sqrt{2(x-1)^2}\right)$\)
\($\sqrt{12(x-1)}-\sqrt{2(x-1)^2}=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\)
\($\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$\)
\($\sqrt{12(x-1)}=2 \sqrt{3} \sqrt{x-1}$\)
\($\sqrt{2(x-1)^2}=\sqrt{2}(x-1)$\\$=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\\)
Values that might result in a fraction's denominator being equal to zero are excluded. Finding these omitted values is crucial for resolving a rational statement because you cannot divide by 0.
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This figure is made up of a triangle and a semicircle.
What is the area of the figure?
Use 3.14 for π .
Enter your answer, as a decimal, in the box.
units²
A composite figure made up of a triangle with vertices at negative 1 comma 1, 4 comma 5, and 7 comma 1 and a semicircle below the triangle such that the diameter extends from negative 1 comma 1 to 7 comma 1.
Answer:
16.28
Step-by-step explanation:
a simple random sample of size n < 30 has been obtained. from the boxplot, judge whether a t-interval should be constructed.a) No, there are outliers and the data are not normally distributed but right skewed
b) No, though there are no outliers, the data are not normally distributed but right
skewed
c) Yes; the data are normally distributed and there are no outliers
d) No; the data are normally distributed, but there are outliers
Option d) is correct- No, the data are normally distributed, but there are outliners.
What is a sample?A sample is characterised as a more manageable and compact version of a bigger group. A smaller population that possesses the traits of a bigger group. When the population size is too big to include all participants or observations in the test, a sample is utilised in statistical analysis.
What is outliners?An outlier is a data point that lies outside the overall pattern in a distribution.
In a real-world example, the average height of a giraffe is about 16 feet tall. However, there have been recent discoveries of two giraffes that stand at 9 feet and 8.5 feet, respectively. These two giraffes would be considered outliers in comparison to the general giraffe population.
in this question, the data are normally distributed, but there are outliners.
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if you start at 6,4 and move 4 units left, and 2 units down, what point will you end up on
Answer:
2,2
Step-by-step explanation:
Answer:
2,3
Step-by-step explanation:
Draw it on a coordinate grid...
HELPPPPP MEEEE PLZZZ
Which statement about inequalities is NOT true?
A. An inequality may have integer and rational solutions.
B. An inequality may have positive and negative solutions.
C. If a < b, then b > a.
D. if a < b, then b < a.
Answer:
D
Step-by-step explanation:
if a<b,then b<a is the answer
How can I design a combinational circuit with three inputs, x, y, and z, and three outputs A, B, and C. When the binary input is 4, 5, 6, or 7, the binary output is four greater than the input?
So a 4-input and gate has 16 possible combinations of binary output, 5 inputs would be 32 outputs, and so on.
Combinations are also called selections. Composition is the selection of one thing from a given set of things. We're not going to fix things here. We will choose them. We note nCr the number of r-choices or unique combinations among a set of n subjects.
Design Procedure:
Step 1:. Derive a truth table that defines the desired relationship between inputs and outputs.
Step 2: Obtain the simplified Boolean function of each output according to the input variables. The simplified expression for the
map is:
A= w
The simplified expression for the map is:
B=w' y+ xz+ wx
Step3. Draw the logic diagram and the binary output are:
A= w
B=w ′y+ xz + wx
C=w ′x ′y ′ +w ′y ′z ′ +xyz + wy
D=x ′z+ w ′xz ′ + wz
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Find the coordinate of a point that partitions the segment AB, where A (0, 0) & B(6, 9) into a ratio of 2:1
let's call that point C, thus we get the splits of AC and CB
\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)
\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)
What is the x- intercept of the line?
Answer:
x-int=(-1,0) y-int=(0,2)
Step-by-step explanation:
because on the x axis (x,y) xis on 1 and on the y is on 2 so then fill in the blanks with a zero.
Answer: (-1, 0)
Step-by-step explanation: The x-intercept is the point
on the graph where the line crosses the x-axis.
So the x-intercept for the line in this graph is (-1, 0).
All x-intercepts have a y-coordinate of zero.
really confused on what to do, please help!
Answer:
6/1 · 11/4 = 66/4 = 16 1/2
-10/3 · (-17/5) = 170/15 = 11 1/3
-9/2 · 26/3 = -234/6 = -39
11/6 · (-9/1) = -99/6 = -16 1/2
What are the radian measures of all angles for each description?
b. angles whose tangent is -0.73
When the tangent of an angle is given, we need to use the inverse tangent function or arctan function to find the radian measure of the angle. Here are the steps to find the radian measures of angles whose tangent is -0.73:
Step 1: Find the inverse tangent of -0.73 using a calculator or table of values.
Step 2: Add π radians to the result from Step 1 to find the other angle in the second quadrant with the same tangent.π + arctan(-0.73) ≈ 2.4908 radians
Step 3: Subtract π radians from the result from Step 1 to find the other angle in the fourth quadrant with the same tangent.
Therefore, the radian measures of all angles whose tangent is -0.73 are approximately -3.7922 radians, -0.6514 radians, and 2.4908 radians.
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(PICTURE INCLUDED) What is AC?
A particle of mass m=4 kg is moving along a guide wire with shape given by y(x)=−4sin(2x)m, where x is in meters. The particle's horizontal velocity component is a constant vx=2 m/s. Python Inputs: import numpy as np from sympy import ∗ x= symbols (′x′, real = True ) m=4 y=−4∗sin(2∗x) vx=2 x_v=8 What is the linear momentum p of the particle when x=8 m ? p= ^+ ?×0%^Ns Correct answer p=8^+61.2902067407^Ns
the linear momentum of the particle when x = 8 m is approximately 8.06129 Ns.
To find the linear momentum when x = 8 m, we need to calculate the vertical velocity component vy at that position. Using the equation for y(x) = -4sin(2x), we can differentiate it with respect to x to find the vertical velocity component vy.
By differentiating y(x) = -4sin(2x) with respect to x, we obtain vy = -8cos(2x).
Substituting x = 8 into vy = -8cos(2x), we get vy = -8cos(16).
Now, we can calculate the linear momentum p by multiplying the mass (m = 4 kg) with the magnitude of the velocity vector, which is given by the square root of the sum of the squares of the horizontal and vertical velocity components.
Using the given values, p = 4 × \(\sqrt{vx^{2} +vy^{2} }\) = 4 × \(\sqrt{2^{2} }\) + \((-8cos(16))^{2}\)
Evaluating this expression, we find p ≈ 8.06129 Ns.
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Select the correct answer.
Which number best represents the slope of the graphed line?
A. -5
B.-1/5
C. 1/5
D.5
Answer:
A. -5
Step-by-step explanation:
You want the slope of a graphed line that crosses grid points (0, 2) and (1, -3).
SlopeThe sign of the slope is positive if the line goes up to the right. This line goes down to the right, so the sign of its slope is negative. (Eliminates choices C and D)
The magnitude of the slope is the ratio of vertical distance to horizontal distance between two points. This line drops 5 vertical squares for each square to the right, so its slope is ...
rise/run = -5/1 = -5
The slope is best represented by -5.
__
Additional comment
From a point on the line that is a crossing of grid lines, if the line crosses the next vertical grid line before it crosses the next horizontal grid line, the magnitude of its slope is less than 1.
Here, the line crosses several horizontal grid lines before it crosses another vertical grid line, so its slope has a magnitude greater than 1. When the choice is between -5 and -1/5, the larger magnitude number is -5.
From two points on the line, you can find the slope using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-3 -2)/(1 -0) = -5/1 = -5 . . . . . . using points (0, 2) and (1, -3)
12.5 ft of lawn food for $27.99
Answer:
Area = 156.25 Square Feet
Price = $4,373.44
Step-by-step explanation:
pls help me no links pls
Here's ur perfect answer
In ΔSTU, u = 340 inches, t = 620 inches and ∠T=110°. Find all possible values of ∠U, to the nearest degree.
One possible value of ∠U is 80° (to the nearest degree).
What is a triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.
To find the possible values of ∠U, we can use the Law of Cosines:
c² = a² + b² - 2ab cos(C)
Where c is the side opposite the angle we want to find (∠U), a and b are the other two sides, and C is the angle opposite side c.
In this case, we want to find ∠U, so we'll use side u as c and sides t and s (which we don't know yet) as a and b, respectively:
u² = t² + s² - 2ts cos(U)
Substituting the given values, we get:
340² = 620² + s² - 2(620)(s)cos(U)
Simplifying:
115600 = 384400 + s² - 1240s cos(U)
Subtracting 384400 and rearranging:
s² - 1240s cos(U) + 268800 = 0
Now we can use the quadratic formula to solve for s:
s = [1240 cos(U) ± √(1240² cos²(U) - 4(1)(268800))]/(2)
Simplifying under the square root:
s = [1240 cos(U) ± √(1537600 cos²(U) - 1075200)]/(2)
s = [1240 cos(U) ± √(409600 cos²(U) + 1742400)]/(2)
s = [620 cos(U) ± √(102400 cos²(U) + 435600)]
Since s must be positive, we can discard the negative solution, and we have:
s = 620 cos(U) + √(102400 cos²(U) + 435600)
Now we can use the fact that the sum of angles in a triangle is 180° to find ∠U:
∠U = 180° - ∠T - ∠S
Since we know ∠T = 110°, we just need to find ∠S. We can use the Law of Sines to do this:
sin(S)/s = sin(T)/t
sin(S) = (s/t)sin(T)
Substituting the values we know:
sin(S) = (620 cos(U) + √(102400 cos²(U) + 435600))/620 * sin(110°)
sin(S) ≈ (1.481 cos(U) + 2.225)/6.959
Now we can use a calculator to find the arcsin of both sides to get ∠S:
∠S ≈ arcsin((1.481 cos(U) + 2.225)/6.959)
Finally, we can substitute the values we found for ∠S and ∠T into the equation we found earlier for ∠U:
∠U = 180° - 110° - arcsin((1.481 cos(U) + 2.225)/6.959)
Simplifying:
∠U = 70° - arcsin((1.481 cos(U) + 2.225)/6.959)
Now we can use trial and error or a graphing calculator to find the values of ∠U that satisfy this equation. One possible solution is:
∠U ≈ 80°
Therefore, one possible value of ∠U is 80° (to the nearest degree).
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Wendy has a $30 to spend at the store. She wants to buy 5 pairs of socks for $1.99 each and a scarf for $20.49, including tax. She uses rounding to estimate the cost: . Wendy says she has enough money to cover the price of everything. Is she correct? Explain.
Answer:
Wendy does not have enough of money to cover the price of everything
Step-by-step explanation:
If Wendy has $30 and wants to but 5 pairs of socks that cost $1.99($2.00) each and a scarf for $20.49, she wouldn't have enough of money because the 5 pairs of socks would be $10 and if you subtract that from $30, she would only have $20 dollars left, so she wouldn't have enough money to pay for the socks and scarf, which also means she would only have to pick one of the two items she wants, either she pays for the socks, or she pays for the scarf, but she can't pay for both.
Find the period and the amplitude of the periodic function. I'm awful with graphs :(
A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.
Amplitude:
The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values of a variable. In the previous text, the phase of a periodic function is called the amplitude.
X = A sin (ω[ t - K]) + b
A is the amplitude (or peak amplitude),
x is the oscillating variable,
ω is angular frequency,
t is time,
K and b are arbitrary constants representing time and displacement respectively.
According to the Question:
An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:
X= A/5* sin(1000.t + 120)
These oscillations have a certain amplitude. X values can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.
For theses cases X= A/5 respectively -A/5.
Therefore,
The amplitude is A/5.
For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.
Complete question:
Can I find the amplitude of this equation? A/5 *
another social worker, who works at a community development organization, makes a different claim. they claim that the average number of children who drop out of high school each day in a particular city is different than 15 children. they would like to carry out a hypothesis test and test the claim that the average number of children who drop out of high school each day in a particular city is different than 15 children. why is this hypothesis test two-tailed? select the correct answer below: this is a two-tailed test because no direction is specified. this is a two-tailed test because a direction is specified. the population parameter is greater than the specified value. this is a two-tailed test because a direction is specified. the population parameter is less than the specified value. more information is needed.
This hypothesis test is two-tailed because no direction is specified in the claim made by the social worker.
A two-tailed test means that the alternative hypothesis is that the population parameter is different from the specified value (in this case, 15 children dropping out of high school each day). So, the null hypothesis would be that the population parameter is equal to 15, while the alternative hypothesis would be that it is either greater than or less than 15. Therefore, we need to conduct a two-tailed test to determine whether the social worker's claim is statistically significant. The correct answer to your question is: This is a two-tailed test because no direction is specified.
In this scenario, the social worker at the community development organization wants to test the claim that the average number of children who drop out of high school each day in a particular city is different than 15 children. The hypothesis test is two-tailed because there is no specified direction for the population parameter (whether it's greater than or less than 15 children). Instead, the test simply seeks to determine if the average number of dropouts is different from 15, which could be in either direction.
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2 over 9 minus 1 over 3 in simplest form
Answer:
2/9 - 1/3 (If you want to solved: -1/9)
Step-by-step explanation:
2 over 9 is 2/9 minus is just - and 1 over 3 is 1/3 so the equation looks like this: 2/9-1/3
To solve this you need to multiply the 1/3 by 3 on both the denominator and numerator: 2/9-3/9
simplify: -1/9
Hope this helps!
For a normal distribution with mean of 100 and standard deviation of 20, find the following:a) The score that separates the lower 20% of the cases from the upper 80%
b) The number of cases that fall between the values of 110 and 120.
c) The number of cases that fall between 90 and 120.
d) The number of cases that fall above a score of 80.
For a normal distribution with mean of 100 and standard deviation of 20, we can use the z-score formula to find the requested values. The z-score formula is z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.
a) Using a z-table, we find that the z-score for the 20th percentile is -0.84. So, solving for x, we get:
-0.84 = (x - 100) / 20
x - 100 = -16.8
x = 83.2
b) For x = 110, the z-score is (110 - 100) / 20 = 0.5. For x = 120, the z-score is (120 - 100) / 20 = 1. Using the z-table, we find that the percentile for z = 0.5 is 69.15% and the percentile for z = 1 is 84.13%. The difference between these percentiles is the proportion of cases that fall between these values, so:
84.13% - 69.15% = 14.98%
c) For x = 90, the z-score is (90 - 100) / 20 = -0.5. Using the z-table, we find that the percentile for z = -0.5 is 30.85%. The percentile for z = 1 (corresponding to x = 120) is still 84.13%, so the difference between these percentiles is:
84.13% - 30.85% = 53.28%
d) For x = 80, the z-score is (80 - 100) / 20 = -1. Using the z-table, we find that the percentile for z = -1 is 15.87%. Since we want to find the number of cases that fall above this score, we need to subtract this percentile from 100%:
100% - 15.87% = 84.13%
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find both the vector equation and the parametric equations of the line through (,,) that is perpendicular to both u and w where t0 corresponds to the given point.
To find the vector equation and the parametric equations of the line through a given point that is perpendicular to two given vectors, let's assume the given point is P(x₀, y₀, z₀), and the two given vectors are u and w.
First, let's find a vector that is perpendicular to both u and w. We can achieve this by taking the cross product of u and w.
Let v = u x w (cross product of u and w)
Now, we have a vector v that is perpendicular to both u and w. To find the vector equation of the line through point P that is perpendicular to u and w, we can write:
r = P + tv
where r is the position vector of any point on the line, t is a scalar parameter, and v is the vector that is perpendicular to u and w.
To obtain the parametric equations, we can break down the vector equation into three component equations. Let's assume:
P(x₀, y₀, z₀)
v = (a, b, c)
r = (x, y, z)
The vector equation can be written as:
x = x₀ + at
y = y₀ + bt
z = z₀ + ct
These are the parametric equations of the line through point P that is perpendicular to u and w, where t is the parameter.
Remember to substitute the values of the given point P, as well as the components of vector v, in order to have the specific equations for your given situation.
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bro please help like frr please idek how yall good at math but anyways
Answer:
92
92
92
Step-by-step explanation:
It's the answer
Hope it's help you
find the mean of the following data set made up of algebra quiz scores round your answer to the nearest tenth place 0,2,3,5,4,2,1
Answer:
2.4
explanation:
first, you add all the values, and you get 17.
next, you divide by 7, because there are 7 values in the data set.
17/7 = 2.429, rounded to the tenths place is 2.4
what is 9x7 equal to i been stuck
Answer:
9x7=63
Step-by-step explanation:
just use a calculator for multiplication
The product of 9 and 7 is 63. In other words, the result of multiplying 9 and 7 is 63.
To find the result of multiplying 9 and 7, by follow a step-by-step process.
First, start by writing the multiplication expression as 9 multiplied by 7.
Next, multiply the digit in the ones place of the first number (9) with the digit in the ones place of the second number (7).
In this case, 9 multiplied by 7 equals 63.
Then, move to the tens place of the second number (7) and multiply it with the digit in the ones place of the first number (9).
Since there is no digit in the tens place of the first number, skip this step.
Finally, add the products obtained from the previous steps.
In this case, there is only one product, which is 63.
Therefore, the result of multiplying 9 and 7 is 63.
Multiplication is a fundamental arithmetic operation used to determine the total value when a number is repeated a certain number of times. In this case, multiplying 9 by 7 represents adding nine 7s together.
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