Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!
Answer:
i dont know but here is some help
Step-by-step explanation:
Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .
Frank just bought a refrigerator for 1036. He paid 103.60 in a down payment and will pay the rest in 4 equal installments. How much does he need to pay for each installment?
Frank needs to pay $233.10 for each installment.
How much per installment for refrigerator?To determine how much Frank still owes on the refrigerator after paying the down payment. We can subtract the down payment from the total cost of the refrigerator:
Total cost of refrigerator = $1036
Down payment = $103.60
Amount owed = Total cost of refrigerator - Down payment
Amount owed = $1036 - $103.60
Amount owed = $932.40
Next, we need to determine how much Frank will pay for each installment. Since he will pay the remaining balance in 4 equal installments, we can divide the amount owed by 4:
Amount owed = $932.40
Number of installments = 4
Amount per installment = Amount owed / Number of installments
Amount per installment = $932.40 / 4
Amount per installment = $233.10
Therefore, Frank needs to pay $233.10 for each installment to fully pay off the refrigerator. By breaking down the cost into smaller payments, Frank can manage his budget more effectively and avoid the burden of making a large payment all at once.
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Let u = 9i + 3j, v = i + j, and w = i - j Find scalars a and b such that u = av + bw
a =
b =
The values of scalars a and b such that u = av + bw is a = 6 and b = 3.
Let u = 9i + 3j, v = i + j, and w = i - j, and we need to find the values of scalars a and b such that u = av + bw.Now, we have,u = 9i + 3j... (1)v = i + j... (2)w = i - j... (3)We need to find a and b such that equation (1) is satisfied. Therefore, we haveu = av + bw=> 9i + 3j = a(i + j) + b(i - j)Distribute the terms=> 9i + 3j = (a + b)i + (a - b)jWe get two equations as follows:9 = a + b...... (4)3 = a - b...... (5)Adding equations (4) and (5), we get:12 = 2a=> a = 6Putting this value of a in equation (4), we get:b = 3
Therefore, the values of scalars a and b such that u = av + bw is a = 6 and b = 3.
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Question 1
Here is an inequality:
7x+6
2
< 3x + 2
Select all of the values that are a solution to the inequality.
Inequalities are used to relate unequal expressions
The values that are a solution to the inequality are: A. x = -3 and B. x = -2
The expression is given as:
\(\mathbf{7x + 6 < 3x + 2}\)
Collect like terms
\(\mathbf{7x -3x < -6 + 2}\)
\(\mathbf{4x < -4}\)
Divide both sides by 4
\(\mathbf{x < -1}\)
\(\mathbf{x < -1}\) means that: the values of x are less than 1.
Hence, the values that are a solution to the inequality are: A. x = -3 and B. x = -2
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What is Precession? Group of answer choices
Deviations in the circularity of the orbit
Changes in the rate of Earth's Spin
Changes in the magnitude of the angle of tilt
Changes in the orientation of the axis of rotation
Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.
This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.
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-3x + 3y = 4
-x + y = 3
Use the substitution method to find the solution.
SHOW WORK PLEASE I CANNOT STRESS THAT ENOUGH
Find the slope of the line through the given points. ____ (–7, 7), (–1, 10) .
A. 1/2 B. 0 C. 2 D. undefined
Evaluate the function for the given value of x. y = (1.2)^x ; x = 2
The solution, when x = 2, will be y = 1.44, according to the facts provided.
What are the definition and examples of value?Value refers to how little something is valuable, either financially or in terms of significance. It can also imply "determine how very much something that is worth," as in a reward with a $200 value. As a verb, it indicates "keeping something in high regard" (such "I value our friendship").
We can evaluate this function y = (1.2)ˣ at x = 2 by merely adding x = 2 to the formula for y.
y = (1.2)ˣ
y = (1.2)ˣ (substitute x = 2)
y = 1.44
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For what value of x is the equation
−
3
x
+
7
=
−
17
−3x+7=−17 tru
Answer: x=8
Explanation:
Move all terms that don't contain x to the right side to solve
-3x=-24
x=8
(a) In a town, there are 1000 men and a number of women. 12/25 of the number of people that were selected for job interview was made up of ½ of the men and ⅖ of the women. Find the number of women in the town.
There are approximately 266 women in the town.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
Let's start by finding the number of people that were selected for job interviews:
12/25 * (1/2) * 1000 + 12/25 * (2/5) * w
where w is the number of women in the town.
Simplifying this expression, we get:
(6/25) * 1000 + (24/125) * w
240 + (24/125) * w
Now we know that this expression is equal to the total number of people selected for job interviews. Let's say that number is N:
240 + (24/125) * w = N
We don't know the value of N, but we can solve for w in terms of N:
(24/125) * w = N - 240
w = (125/24) * (N - 240)
Now we need to use the fact that the number of women in the town plus the number of men in the town is equal to the total number of people in the town:
w + 1000 = T
where T is the total number of people in the town.
Substituting our expression for w, we get:
(125/24) * (N - 240) + 1000 = T
Simplifying this expression, we get:
(125/24) * N = (125/24) * 240 + 24 * (T - 1000)
Dividing both sides by 125/24, we get:
N = 240 + (24/125) * 24 * (T - 1000)
N = 240 + 24 * (T - 1000)/5
N = 240 + 4.8 * (T - 1000)
Now we can solve for T by using the fact that N is equal to the total number of people selected for job interviews:
N = 12/25 * T
Substituting our expression for N, we get:
12/25 * T = 240 + 4.8 * (T - 1000)
Multiplying both sides by 25, we get:
12T = 6000 + 120(T - 1000)
Simplifying this expression, we get:
12T = 120T - 60000
108T = 60000
T = 555.56
Therefore, the total number of people in the town is approximately 555.56.
To find the number of women in the town, we can use our expression for w:
w = (125/24) * (N - 240)
Substituting our value for N, we get:
w = (125/24) * (555.56 - 240)
w = 265.63
Therefore, there are approximately 266 women in the town.
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Find an equation doe the line that is tangent to the curve y=3x^3-3x at the point (-1,0)
The tangent to the given curve at the point (1,0) is: y=6x-6.
What is tangent?The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.When you ride a bicycle, every point on the wheel's circumference forms a tangent with the road, providing a practical illustration of a tangent.When you ride a bicycle, every point on the wheel's circumference forms a tangent with the road, providing a practical illustration of a tangent.A straight line that only touches a circle once is said to be tangent to it. The term "point of tangency" refers to this location.The first derivative f'(x), the slope (tangent) of the original curve, may be obtained at every point (x,y) on the curve because the supplied curve is a continuous function, making Eq. 1 differetiable at every x.
The slope of the tangent at x=1 is given by the first derivative of Eq. 1: f'(1)=9(1)2-3=6.
A line that passes through the point (x1, y1) and has a slope of m has the equation:
(y-y1)=m(x-x1) ··· Eq.2 (the point- slope form of linear function)
Here, x1=1, y1=0, and m=f'(x1)=6. Add these numbers to Eq. 2. It is possible to repeat and simplify Eq. 2 as follows: y-0=6(x-1) ⇒ y=6x-6
Consequently, y=6x-6 is the tangent to the given curve at position (1, 0).
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Please Help
Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.
Step-by-step explanation:
so, to repeat, the radius r of the circle is 87 cm.
the area of a circle is
pi×r²
so, in our case
A = pi×87² = pi×7569 = 23,778.7148... cm²
so, how to give this answer with only 3 significant figures ?
as you can see, there are already 5 figures before the decimal point.
3 attempts :
1. 3 significant figures after the decimal point : 23778.715 cm²
2. scientific notation with 3 SF : 2.38×10⁴ cm²
3. converting to m² (1m² = 10000cm²) : 2.38 m²
the population of rabbits on an island is growing exponential in the year 2008, the population of rabbits was 7100 and by the year 2013 the population had grown to 8900 . Predict the population of rabbits by the year 2023 to the nearest whole number
The population of rabbits by the year 2023 is 13985.
What will the population be?We have to use the following exponential function. This will be:
y = a b^t
In 2008 means, t=0
So we have 7100 = a b^0
a = 7100
y = 7100b^t
In 2013 means t = 2013-2008 =5
8900 = 7100 b⁵
b⁵ = 89/71
b = 1.046
So the equation will be
y = 7100 (1.046)^t
For 2023, t=2023-2008= 15
y = 7100(1.046)¹⁵
= 13985
The population is 13985.
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suppose a juice box contains 30% juice with the remaining portion of the drink composed of water. what is the solute in this type of juice box?
Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.
Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.
Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.
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Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
weeks hours
1 18
2 25
3 24
4 33
Answer:
2005400sblackwell
2005400sblackwell
03/27/2020
Mathematics
Middle School
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
Answer:
32%
Step-by-step explanation:
I don’t know. I’m on a test got the answer wrong and it showed me the right answer.
Consider the ordered bases B=((4,3),(?7,?5)) and C=((?2,0),(?4,?1)) for the vector space R2. a). Find the transition matrix from C to the standard ordered basis E=((1,0),(0,1)). TEC=
b). Find the transition matrix from B to E. TEB=
c). Find the transition matrix from E to B. TBE=
d). Find the transition matrix from C to B. TBC=
e). Find the coordinates of u=(1,2) in the ordered basis B. Note that [u]B=TBE[u]E. [u]B=
f). Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C=(1,2). [v]B=
a) To find the transition matrix from C to the standard ordered basis E, we can express the vectors in C as linear combinations of the vectors in E.
Let's represent the vectors in C as C1 and C2, and the vectors in E as E1 and E2.
C1 = -2E1 - 4E2
C2 = -E2
The transition matrix TEC can be obtained by arranging the coefficients of E1 and E2 as columns:
TEC = [[-2, 0], [-4, -1]]
b) To find the transition matrix from B to E, we need to express the vectors in B as linear combinations of the vectors in E. Let's represent the vectors in B as B1 and B2.
B1 = 4E1 - 7E2
B2 = 3E1 - 5E2
The transition matrix TEB can be obtained by arranging the coefficients of E1 and E2 as columns:
TEB = [[4, 3], [-7, -5]]
c) The transition matrix from E to B can be obtained by finding the inverse of the transition matrix from B to E:
TBE = (TEB)^(-1)
d) To find the transition matrix from C to B, we can express the vectors in C as linear combinations of the vectors in B. Using the same approach as before:
C1 = -2B1 - 4B2
C2 = -B1 - B2
The transition matrix TBC can be obtained by arranging the coefficients of B1 and B2 as columns:
TBC = [[-2, -1], [-4, -1]]
e) To find the coordinates of u = (1, 2) in the ordered basis B, we can use the equation [u]B = TBE[u]E:
[u]B = TBE * [1, 2]^T
f) To find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C = (1, 2), we can use the equation [v]B = TBC * [v]C:
[v]B = TBC * [1, 2]^T
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find the solution of given expression
\( \sqrt{9 \times 36} \)
Answer:
solution given:
\( \sqrt{9 \times 36} \)=\( \sqrt{3² \times 6²} \)=±(3×6)=±18 is your answer
Hi ,I need help. pls?
why doesn't my messages work?
Answer:
I was wondering the same thing. maybe it is specific for certain people.
Step-by-step explanation:
Answer:
i think you have to be a certain rank
Step-by-step explanation:
How many 8-character passwords consist of 8 different letters that are in alphabetical order such that each letter can be uppercase or lowercase
The number of 8-character passwords that consist of 8 different letters that are in alphabetical order such that each letter can be uppercase or lowercase is 26C8 x 2⁸, which is approximately equal to 5.58 x 10¹².
To arrive at this answer, we first need to choose 8 letters out of 26, which can be done in 26C8 ways. Then, we need to assign each of these 8 letters to either an uppercase or lowercase letter, giving us 2 possibilities for each letter.
Therefore, there are 2⁸ possible ways to assign cases to the letters. Multiplying these two values together gives us the total number of possible passwords.
Note that we assume that the letters must be in alphabetical order, which greatly reduces the number of possible passwords. If we did not require alphabetical order, the number of possible passwords would be much larger.
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Please Help Me With Problems 6-14
This is for 54 points.
Answer: Your answer is negative 8
Step-by-step explanation:
an imaginary circle that goes through both retinae and the fixation point is known as
The Vieth-Müller Circle is an imaginary circle that passes between both retinae and the fixation point.
The Vieth-Müller Circle is an ophthalmology concept that depicts an imaginary circle that passes across the foveas (the primary points of the retinae that are responsible for acute, detailed vision) and the fixation point (the point at which the eyes are directed).
The Vieth-Müller Circle is significant because it helps to explain the phenomenon of binocular vision, which is the ability to perceive depth and three-dimensional space using both eyes together. The circle aids in the definition of the equivalent locations on the two retinae, which are sites that receive visual field information and are critical in combining the images from the two eyes into a single, three-dimensional perception.
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The imaginary circle that passes through both retinae and the fixation point is called the horopter. The horopter is important in visual perception as it represents the set of points in space that stimulate corresponding points on each retina, which is necessary for binocular vision and depth perception.
The Horopter is an imaginary circle that passes through both retinae and the fixation point. In this context:
1. "Imaginary" refers to the fact that the Horopter is a theoretical concept rather than a physical object.
2. "Retinae" are the light-sensitive layers at the back of both eyes, which play a crucial role in processing visual information.
3. "Fixation" is the point where both eyes are focused on a single object in the visual field.
In brief, the Horopter represents a collection of points in the 3D space that are perceived as having the same depth or distance as the fixation point. It helps in understanding binocular vision and depth perception, as points on the Horopter contribute to forming a single, fused image from both eyes.
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what is 260 add 212 multiplied by 234 minus 1000
Answer:
its 48,868
Step-by-step explanation:
Answer:
48 868
Step-by-step explanation:
260+212×233-1000
260+(212×233)-1000
260+49 608-1000
49 868 - 1000
=48 868
X^2+9x+20/x+3 • x^2-x-12/x^2+3x-4
What is the product in simplest form? State any restrictions on the variable
To find the product, we need to first factor the numerators and denominators of both fractions:
x^2 + 9x + 20 = (x + 5)(x + 4)
x^2 - x - 12 = (x - 4)(x + 3)
x^2 + 3x - 4 = (x + 4)(x - 1)
Substituting these into the expression, we get:
[(x + 5)(x + 4)/(x + 3)] * [(x - 4)(x + 3)/(x + 4)(x - 1)]
Now, we can simplify the product by cancelling out common factors:
[(x + 5) * 1/(x - 1)] * [(x - 4) * 1/1]
= (x + 5)(x - 4)/(x - 1)
So the product in simplest form is (x + 5)(x - 4)/(x - 1).
However, there is a restriction on the variable because the expression involves division by (x + 3), (x - 1), and (x - 4). Therefore, x cannot be equal to -3, 1, or 4, since these values would make the denominators zero and the expression undefined.
MARK ME AS THE BRAINLIEST!!!!!!!!!
what i 5 + 5
ok
ok
ko
Answer:
haha The answer is 10!(::
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
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Develop a full regression model based on all the predictor variables indicated. Choose the right model equation below
A. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms) B. Asking Price = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms)
C. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+0.9677*(Bathrooms) D. Assessed Value = 244.4325 + 43.5532*(Size)+ 8.1910*(Bedrooms)+ 0.9677*(Bathrooms)
Q2. A review of the t-test on the significance of individual independent variable suggests that, based on the p-values
A. Only one of the independent variable possibly needs to be retained B. Two of the independent variables possibly needs to be retained C. None of the independent variables could be retained D. Three of the independent variables could be retained
Q3:
Choose the right option below. Based on the full regression model involving all of the independent variables
A. VIF for Size = 2.336, VIF for Fireplace = 1.121, VIF for bedrooms = 1.979
B. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885
C. VIF for Fireplace = 1.1873, VIF for bedrooms = 1.9885
D. None of the above
Q4: Based on VIF values, there is concern for collinearity in this dataset
A. True B. False
Q5:
Based on the normal probability plot, the normality assumption seems to be met
A. True
B. False
Q:7: Based on conducting residual analysis the model seems
Group of answer choices
Adequate
Inadequate
Violates Independence Assumption
Not enough information to assess the LINE assumptions
Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.
Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.
Q.4: Based on VIF values, there is concern for collinearity in this dataset. True
Q5: Based on the normal probability plot, the normality assumption seems to be met. True
Q7: Based on conducting residual analysis the model seems. Adequate.
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Find (f -9)(x) where f(x) = -x2, g(x) = -(x + 4)2
Answer:
2x^2 +11
Step-by-step explanation:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
Anyoneeee plssss I neeed helppppp plssss
Answer:
second one
Step-by-step explanation:
There are four blood types, and not all are equally likely
to be in blood banks. In a certain blood bank, 49% of
donations are Type O blood, 27% of donations are Type
A blood, 20% of donations are Type B blood, and 4% of
donations are Type AB blood. A person with Type B
blood can safely receive blood transfusions of Type O
and Type B blood.
What is the probability that the 4th donation selected at
random can be safely used in a blood transfusion on
someone with Type B blood?
O (0.31)³(0.69)
O (0.51)³(0.49)
O (0.69)³(0.31)
O (0.80)³(0.20)
Answer:
The probability of the 4th donation being Type O or Type B is:
P(Type O or B) = P(Type O) + P(Type B) = 0.49 + 0.20 = 0.69
The probability of the 4th donation being safe for someone with Type B blood is the probability that it is Type O or Type B, which is 0.69. Therefore, the probability that the 4th donation selected at random can be safely used in a blood transfusion on someone with Type B blood is:
P(safe for Type B) = 0.69
Answer: (0.69)³(0.31)
3. what is the probability that 2 shark attacks will occur in a two-day period in australia in 2015?
The probability that 2 shark attacks will occur in a two-day period in Australia in 2015 is approximately 0.3679
Let's assume that the average number of shark attacks per day in Australia in 2015 was λ = 1.
The Poisson distribution formula for the probability of k events occurring in a given time period is:
P(k events) = (λ^k × e^(-λ)) / k!
where e is the mathematical constant approximately equal to 2.71828.
In this case, we want to find the probability of 2 shark attacks occurring in a two-day period, which means we're interested in the probability of k = 2 events in a time period of T = 2 days.
We can plug in the values of λ, k, and T into the Poisson distribution formula:
P(2 events in 2 days) = (1^2 × e^(-1) × 2) / 2!
= (1 × 0.3679 × 2) / 2
= 0.3679
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The given question is incomplete, the complete question is:
What is the probability that 2 shark attacks will occur in a two-day period in Australia in 2015?
Consider the matrices.
A =
[-1 7 -2 -6 2 -3 -1 10]
B = [- 2 -3 1 2]
C = [-6 -8]
D = [0 0 0 0]
E = [[-8 -2 1 4 3 9 2 -7]
Operation is defined.
What operations are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.
Operation is defined
Operation is not defined.
E-A
A+C
B+D
C-B