Answer:
B and D also intersect at C
Step-by-step explanation: Instructions are unclear but it think that you are supposed to say the other pair that meets in a strait line
Answer:
Step-by-step explanation:
AC² = 25 + 9 - 15 cos120° = 34 - 15(- 0.5) = 41.5 ⇒ AC = √41.5 ≈ 6.442 cm ≠ EC
ΔABC doesn't congruent to ΔEDC
What is the equation of the line that passes through point P (6, -8) and has a slope of zero?
A.x = 6
B.y = 6
C. x= -8
D. y = -8
Answer:
A
Step-by-step explanation:
because it is a straight line locate at x = 6 that pass to every y coordinate, so it pass -8 too.
On a blueprint that had a scale factor 1:2 the hallway was 4.2 in length
On a blueprint, the length of the hallway is 4.2 units. However, it is important to take into consideration the scale factor, which is 1:2. To find the actual length, we need to multiply the length on the blueprint by the scale factor. So, 4.2 x 2 = 8.4 units. Therefore, the actual length of the hallway is 8.4 units.
On the blueprint with a scale factor of 1:2, the hallway measures 4.2 inches in length. To find the actual length of the hallway in real life, you can use the scale factor. For every 1 inch on the blueprint, there are 2 inches in real life. Therefore, to calculate the actual length, you can multiply the blueprint length by the scale factor:
Blueprint length: 4.2 inches
Scale factor: 1:2 (or 2/1)
Actual length = Blueprint length × Scale factor
Actual length = 4.2 inches × (2/1)
Actual length = 8.4 inches
The actual length of the hallway in real life is 8.4 inches.
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what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
will mark brainliest :)
The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function during this period? (1 point)
A. The domain is all real numbers through 9.
B. The domain is all Integers through 9.
C. The domain is all positive real numbers.
D. The domain is all positive integers.
Answer:
the answer is B.
Step-by-step explanation:
Remember the Great Toilet Paper Shortage of 2020? Most stores have
finally restocked. Charmin makes a pack of TP with 2^4 rolls in it. Each roll
has 2^10 individual sheets. Wegman's has a shelf with 2^6 packages on it.
How many sheets are there on that shelf? Final answer must be left in
exponential form. Show the process but not the calculations - unless you
want to but sometimes less is more
Answer:
2^16 or 65,536
Step-by-step explanation:
First, you'll find the answers to 2^6 and 2^10
2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.
**or, the easier way is to just add the two exponents together since you see that the bases are the same.
What can you tell about the numbers?
Equations can be for example like: -1 ≤ x < 4
Answer:
Step-by-step explanation:
The numbers lies between 80 and 140
80 < x <140
Hollow dot at point 80 and 140 indicates that 80 and 140 are not included
can you guy help me please
Answer:
24
Step-by-step explanation:
just did that quashtion
BRAINLIST PLESE
Answer:
x=5^10
Step-by-step explanation:
5x=5^3⋅5^8
5x=5^11 you add the exponents
x=5^10 then divide both sides by 5 which takes the 5 and leave the x by itself
(DESPERATE PLEASE HURRY)
question down below
please show the work
Answer:
192
Step-by-step explanation:
16 × 12 = xi hope get 5 Star
Answer
x= 192
Step-by-step explanation:
1. Multiply all terms by the same value to eliminate fraction denominators.
2. Cancel multiplied terms that are in the denominator
3. Multiply the numbers
4. Move the variable to the left
Which expression has a solution of 56 if r = 8?
8r
7r
6 r
9 r
Answer:
7r is the correct answer
Step-by-step explanation:
7 x 8 = 56
the square root of $2x$ is greater than 3 and less than 4. how many integer values of $x$ satisfy this condition?
There are three integer values of x (5, 6, and 7) that satisfy the condition √(2x) > 3 and √(2x) < 4.
To find the integer values of x that satisfy the condition √(2x) > 3 and √(2x) < 4, we need to consider the range of values for x that make the inequality true.
We start by isolating the square root expression:
3 < √(2x) < 4
To eliminate the square root, we can square both sides of the inequality:
3^2 < (√(2x))^2 < 4^2
9 < 2x < 16
Dividing the inequality by 2:
4.5 < x < 8
Now, we need to find the integer values of x that lie within this range. Since the condition asks for integer values, we can conclude that the possible values for x are 5, 6, and 7. Note that x cannot be equal to 4 or 8, as those values would make the inequality false.
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Write an equivalent unit rate to eating 3 pieces of popcorn in 1/5 of a minute ____ pieces of popcorn per minute
Answer: 15
Step-by-step explanation:
slow eater lol.
in one fifth of a minute, they ate 3 pieces. so add the other four fifths, 3 + 3 + 3 + 3 + 3, and youll get 15. easier to just multiply tho, 1/5 is 3, so 5/5 would be 3(5) = 15. hope this helps
a study using the chi-square test of independence has 4 categories of one variable and 3 categories for its other variable. what are the degrees of freedom for the study?
The degrees of freedom for your study would be 6.
To determine the degrees of freedom for a study using the chi-square test of independence, we need to consider the number of categories in each variable.
For the chi-square test of independence, the degrees of freedom (df) are calculated using the formula:
df = (R - 1) * (C - 1)
Where:
R is the number of categories in one variable.
C is the number of categories in the other variable.
In your case, you have 4 categories for one variable and 3 categories for the other variable. Plugging these values into the formula, we get:
df = (4 - 1) * (3 - 1)
= 3 * 2
= 6
Therefore, the degrees of freedom for your study would be 6.
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Three cans of cat food cost $5.00 how muck will carol spend on 60 worth of cat food
Answer:
$100.00
Step-by-step explanation:
we know that 3 cans are equal to $5.00 and 60 is 20 times 3 and so 5*20 is 100.
Fill in the ◯ with < , > , or = to make a true statement.
−4.5◯−4.49
Group of answer choices
Answer:
<
Step-by-step explanation:
-4.49 is greater than -4.5 because it is closer to a positive number.
=====================================================
Explanation:
Think of -4.5 as -4.50, then you would be able to see that -4.50 is further left compared to -4.49 and this makes -4.50 to be smaller than -4.49; therefore, -4.50 < -4.49
Keep in mind that these values are negative, so the more leftward you go, the larger the magnitude of the values will get. For example, -10 is even more to the left so it makes -10 even smaller compared to the other values mentioned. We would be able to say -10 < -4.5 and also -10 < -4.49
Side note: if the values were positive, then 4.50 > 4.49 because 50 > 49. The inequality sign flips when we change everything from positive to negative.
???????????????????????????????????/////////
Answer:
1. Rational
2. Rational
3. Irrational
4. Rational
5. Irrational
Since the arithmetic mean of the above data is 20, what is the span?
A) 45. B) 40. C) 35. D) 30
Answer:
Step-by-step explanation:
Sarah used 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries are needed per cup of jam?
3/4÷ 2/3= 3/4*3/2= 9/8= mixed fraction 1 1/8 pounds.
The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:
OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.
If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.
When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.
This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.
The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.
In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.
It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.
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Consider the matrices A=
[2 3]
[-3 -4]
and
B=
[2 4 1]
[2 -2 5]
a) For the following, calculate the construction given or explain why it does not exist. i) 5A - B
ii) BA
iii) A²
b) i) By multiplication, show that I +2A+ A² = 0 ii) Hence calculate the inverse matrix A-¹
a) i) The construction 5A - B can be calculated as [8 12 -7][-13 -18 -25].
ii) The construction BA does not exist because the number of columns in matrix B (3) does not match the number of rows in matrix A (2).
a) i) To calculate 5A - B, we perform scalar multiplication on matrix A by multiplying each element by 5 and then subtract matrix B element-wise.
ii) To calculate BA, we perform matrix multiplication by multiplying the rows of matrix B with the columns of matrix A.
iii) To calculate A², we multiply matrix A with itself by performing matrix multiplication.
b) i) To show that I + 2A + A² equals the zero matrix, we multiply A with itself to obtain A², perform scalar multiplication on matrix A by multiplying each element by 2, and add the resulting matrices element-wise with the identity matrix I. If the resulting matrix is the zero matrix, then the equation is satisfied.
ii) Using the equation I + 2A + A² = 0, we can rearrange the equation to get A² + 2A + I = 0. Multiplying both sides by A⁻¹, we get A⁻¹(A² + 2A + I) = A⁻¹ * 0, which simplifies to A + 2I + A⁻¹ = 0. Rearranging the equation, we find that A⁻¹ = -A - 2I.
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find the value of 2/5 - 3
\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)
\(\sf{\dfrac{2}{5}-3 }\) \(\sf{\dfrac{2-10}{5} }\) \(\sf{\dfrac{-8}{5} }\)\(\sf{ }\)
How do we compute 101^(4,800,000,023) mod 35 with Chinese Remainder Theorem?
The remainder when 101⁴⁸⁰⁰⁰⁰⁰⁰²³ is divided by 35 is 12.
Now, let's look at how we can use the Chinese Remainder Theorem to compute 101⁴⁸⁰⁰⁰⁰⁰⁰²³ mod 35. First, we need to express 35 as a product of prime powers:
=> 35 = 5 x 7.
Then, we can consider the congruences 101⁴⁸⁰⁰⁰⁰⁰⁰²³ ≡ a (mod 5) and 101⁴⁸⁰⁰⁰⁰⁰⁰²³ ≡ b (mod 7), where a and b are the remainders we want to find.
Since 101 is not divisible by 5, we have 101⁴ ≡ 1 (mod 5). Therefore,
=> 101⁴⁸⁰⁰⁰⁰⁰⁰²³ ≡ (101⁴)¹²⁰⁰⁰⁰⁰⁰⁰⁵ ≡ 1 (mod 5).
This means that a = 1.
Since 7 is a prime number, φ(7) = 6, so we have 101⁶ ≡ 1 (mod 7). Therefore,
=> 101⁴⁸⁰⁰⁰⁰⁰⁰²³ ≡ (101⁶)⁸⁰⁰⁰⁰⁰⁰⁰³ ≡ 1 (mod 7).
This means that b = 1.
Now, we need to find a number that is equivalent to 1 modulo 5 and 1 modulo 7. This number is
=> 1 x 7 x 1 + 5 x 1 x 1 = 12.
Therefore,
=> 101⁴⁸⁰⁰⁰⁰⁰⁰²³ ≡ 12 (mod 35).
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*HELPPP!! 1 SIMPLE GEOM QUESTION FOR 15 POINTS!!*
The coordinate of D after the required transformation is (4,2).
What do you mean by transformation?A function, f, that maps to itself is known as a transformation, or f: X X. The original image X is transformed into the final image X. This transformation can use any operation, or a combination of operations, including translation, rotation, reflection, and dilation. Through the use of translation, rotation, reflection, and dilation, a function can be shifted in one direction or another. Rotation around a point is another method for scaling a function.
Mathematical figures in two dimensions move about a coordinate plane in accordance with transformations.
Here in the question,
The coordinate of D after the required transformation is (4,2) as the value of x changes from x to x+3.
-5+3 = 2.
So, -2 and -2 is the new coordinate.
Now after reflection, the final coordinates are:
(4,2).
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In a group of 39 students, 14 study both Art and Biology.
12 study Biology but not Art.
2 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies
Art and Biology?
Answer:
66.666666666667%
Step-by-step explanation:
26 study biology
26/39= .66666666666667
convert into a percent
100 times .66666666666667 =66.666666666667%
Algebra 1
6.4 DIE
Find the distance between the points (0, -10) and (-8,0).
tbh i think it is 6 i did the math too
Answer:
2√41
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-8 - 0)² + [0 - (-10)]²
√(-8)² + (10)²
√(64) + (100)
√164
= 2√41
Quadrilateral ABCD is plotted on the grid below.121110987AB654321DС-12 -11 -10 9 8 76 5-4 3 2123-1 0-156789 10 11 12-2-56-78-9-10-11-12Part AOn the graph, draw the image of quadrilateral ABCD after a counterclockwise rotation of 180° about theorigin. Label the image A'B'C'D'.Part BOn the lines below, explain how the coordinates of A changed to the coordinates of A'.
The coordinates of the quadrilateral
A(5,6)
B(10,6)
C(8,1)
D(3,1)
Part A.
The rule for a rotation counterclockwise of 180°
\((x,y)\rightarrow(-x,-y)\)A'=(-5,-6)
B'=(-10,-6)
C'=(-8,-1)
D'=(-3,-1)
Then we will draw the quadrilateral
the original is the red
and the rotate is the blue
Part B
the coordinate change as the given rule seen previously for rotation of 180° counterclockwise
\((x,y)\rightarrow(-x,-y)\)The table shows the number of carnival tickets purchased and the corresponding number of entries in the raffle drawing.
If x is the number of tickets purchased and y is the number of entries in the raffle drawing, then the equation
represents the table.
How many entries would be in the raffle drawing if 20 tickets were purchased?
The number of entries that would be in the raffle drawing if 20 tickets were purchased is 22.
How to illustrate the informationIt should be noted that the following can be deuced based on the information:
x = the number of tickets purchased
y = the number of entries in the raffle drawing.
It should be noted that
r + b = 3
2r + b = 4
Solving simultaneously will give r = 1 and b = 2
Therefore, when x = 20, the equation y = x + 2 is used
This will be y = 20 + 2 = 22
Therefore, the number of entries that would be in the raffle drawing if 20 tickets were purchased is 22.
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Answer: I got it right!
Step-by-step explanation: Good luck guys :>
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?
Answer:
6 inches
Step-by-step explanation:
A=b1+b2/2*h
Fill in the equation with what we know
21=8+x/2*3
Isolate x
Quick steps: 21/3=7*2=14-8=6
x=6
Which of the following are properties of the linear correlation coefficient?
a. If r is close to 0, then little or no evidence of any relation between the explanatory or response variable exists.
b. The linear correlation coefficient is always between−1 and 1. That is,−1≤r≤1.
c.The correlation coefficient is resistant.
d. A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.
e. A linear correlation of 0.639 suggests a stronger linear relation between two variables than a linear correlation of −0.639.
f. If r=−1, then a perfect negative linear relation exists between the two variables.
Among the options given in the question, the following are the properties of the linear correlation coefficient:
The linear correlation coefficient is always between−1 and 1. That is,−1≤r≤1.
A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.
If r=−1, then a perfect negative linear relation exists between the two variables.
Properties of linear correlation coefficient:
Linear correlation coefficient is a value calculated from given data and used to measure the strength of linear relationship between two variables, for instant between x and y variables.
The sign of this coefficient (r) indicates the direction linear relationship will take between x and y. Below are some properties of the linear correlation coefficient:
The value of r lies between -1 and 1 inclusiveThe sign of r indicates the direction of the linear relationship between x and yThe size of r indicates the strength of the linear relationship between x and yNow, the properties of the linear correlation coefficient among the given ones in the question are:
b. The linear correlation coefficient is always between−1 and 1. That is,−1≤r≤1.
d. A linear correlation of −0.742 suggests a stronger negative association between two variables than a linear correlation of −0.472.
f. If r=−1, then a perfect negative linear relation exists between the two variables.
Hence, options b, d and f are correct.
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An arc subtends a central angle measuring \dfrac{3\pi}{5} 5 3π start fraction, 3, pi, divided by, 5, end fraction radians. What fraction of the circumference is this arc?
Answer:
\(\dfrac{3}{10}\)
Step-by-step explanation:
Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)
If the central angle of the arc is \(\dfrac{3\pi}{5}\)
Length of an arc\(=\dfrac{3\pi r}{5}\)
Therefore:
Ratio of the length of the arc to the circumference
\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)
Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.
Answer: 3 /10
Step-by-step explanation: Khan Academy
A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to the nearest square centimeter.
Hey there! I'm happy to help!
We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.
So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.
π×1.5²=7.065
Now, we need to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.
First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.
3π=9.42
So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.
9.42×6.4=60.288
Now, we add the rectangle area and the bottom circle area.
60.288+7.065=67.353
But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.
An important thing to note is that this is not the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.
Have a wonderful day!