Answer: The product of 6,370*30 is 191,100
Draw
image of quadrilateral EJMX after the
translation along the vector.
Answer:
M=(1,-2)
J=(-2,-3)
E=(-2,-4)
x=(3,-3)
just change the negative to positive and the positive to negative
is y = x/9 a direct variation
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
select the option that best describes the relationship between the variables on the scatter plot.
Answer:
positive, linear association
Step-by-step explanation:
i know because i got it correct
The option that should be selected and it shows the best description related to the relationship between the variables on the scatter plot is the first option.
What is a scatter plot?It means to the set of points in which it should be plotted on the axis of horizontal and the vertical. It plays a vital role in statistics since it should represent the correlation extent.
Moreover, as per the given scatterplot, it shows the positive and linear association.
Therefore, the first option is correct.
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a sprinkler that sprays waiter in a circular area
Can you put more of the question
HELPPPPPPPPPP- pleaseeee T^T
Answer:
Step-by-step explanation:
A
Answer:
A. 2x6+4
Step-by-step explanation:
It is really the only one that works, there are two rows of 6 with 4 extra
Look at the sets below.
{1, 2, 3, 4, 5} {2, 4, 6, 8, 10}
Which of the following shows the union of the sets?
A.
{1, 2, 3, 4, 5}
B.
{2, 4, 6, 8, 10}
C.
{2, 4}
D.
{1, 2, 3, 4, 5, 6, 8, 10}
Answer:
\( \boxed{\bold{\boxed{ \sf{1 \: , \: 2 \: , \: 3\: ,4 \: , \: 5 \: , \: 6 \: , \: 8 \: , \: 10 \: }}}}\)
Option D is the correct option
Step-by-step explanation:
Let the sets be A and B.
A = { 1 , 2 , 3 , 4 , 5 }
B = { 2 , 4 , 6 , 8 , 10 }
Finding A union B ( A ∪ B )
The union of sets A and B is the set of all elements which belongs either A or B or both A and B
So, list them :
A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 }
Hope I helped!
Best regards! :D
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
Critical value at 90% confidence = 1.645
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $79.20
Standard deviation r = $10.41
Number of samples n = 14
Confidence interval = 90%
Using the z table;
The critical value that should be used in constructing the confidence interval.
z(α=0.05) = 1.645
Critical value at 90% confidence z = 1.645
Substituting the values we have;
$79.20+/-1.645($10.42/√14)
$79.20+/-1.645($2.782189528308)
$79.20+/-$4.576701774067
$79.20+/-$4.577
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
Review the Monthly Principal & Interest Factor chart to answer the question:
FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730–749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27
Determine the percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR. Round the final answer to the nearest tenth.
31.0%
31.1%
59.0%
68.5%
The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)
How is this so ?
To calculate the percent decrease, we can use the following formula.
Percent decrease = ( (30-year factor - 15-year factor) / 30-year factor) x 100
Substituting the values from the chart.
= (($ 6.65 - $8.71) / $6.65) x 100
= ( -$ 2.06 / $6.65) * 100
= -0.309 * 100
Percent decrease ≈ - 30.9 %
Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is
Percent decrease ≈ 31%
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Translate the verbal phrase
:- "twice of number y Increased by five" into mathematical expression. PLS HELP!
\(\bold\purple{Hopeithelps}\)
\(\bold{Study}\)\(\bold{Well}\)~
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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simplify the expresion (5÷5)+5×(5²- 5)
Answer: 101
Step-by-step explanation: 1+5x20 then 100+1= 101
What is 5/3.5 as an improper fraction
Answer:
either \(\frac{10}{7}\) or 1 \(\frac{1.5}{3.5}\)
Step-by-step explanation:
Answer: 1.5
3. 5
Step-by-step explanation:
You say goodbye to your friend at the intersection of two perpendicular roads. At time t=0 you drive off North at a (constant) speed v and your friend drives West at a (constant) speed w. You badly want to know: how fast is the distance between you and your friend increasing at time t? Enter here the derivative of the distance from your friend with respect to t: __________. Being scientifically minded you ask yourself how does the speed of separation change with time. In other words, what is the second derivative of the distance between you and your friend? __________. Suppose that after your friend takes off (at time t=0) you linger for an hour to contemplate the spot on which your friend was standing. After that hour you drive off too (to the North). How fast is the distance between you and your friend increasing at time t (greater than one hour)? __________. Again, you ask what is the second derivative of your separation: ____________.
Answer:
Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:
d^2 = x^2 + y^2
Taking the derivative of both sides with respect to time, we get:
2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)
Simplifying this expression, we get:
dd/dt = (x(dx/dt) + y(dy/dt)) / d
Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:
dx/dt = v and dy/dt = -w
Substituting these values and simplifying, we get:
dd/dt = (v^2 + w^2)^0.5
Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.
To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:
d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5
Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.
Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:
d = (vt)^2 + ((t-1)w)^2)^0.5
Taking the derivative of both sides with respect to time, we get:
dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)
Simplifying this expression, we get:
dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)
Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.
The second derivative of the distance between you and your friend is given by:
d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)
What is the sum of the polynomials?
Answer:
4m-24n+3
Hope this helped you!
Answer: 4m+3
Step-by-step explanation:
You must add each term together. If you add each variable and term, you would get 4m+3.
what are similar triangles?
Answer:
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling, possibly with additional translation, rotation and reflection.
Answer:
their corresponding angles are congruent and the corresponding sides are in proportion
(please mark ad brilliantest)
A manatee eats an average of 70 pounds of
wet vegetation each day. The equation y = 70x describes
the amount y that a manatee eats in x days. Graph the
function.
3) Assume the point of tangency at the
diameter. Solve for the value of x (be
careful, there is a trick!)
18
7.1
Which set of numbers is the most appropriate for describing the distance between Venus and Mercury? Integers, positive real numbers, or irrational numbers
The set of numbers that is the most appropriate for describing the distance between Venus and Mercury is B. positive real numbers.
What is a positive real number?A positive real number includes all the real numbers that are greater than or equal to zero.
Positive real numbers are known as natural numbers and start from 1 to infinity.
Since the distance from Venus to Mercury is 31.1 million miles, describing their distance requires a set of B. positive real numbers.
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What is −10y − 19 if y is 9?
−28
−109
−38
−71 ASAP
Answer:
-109
Step-by-step explanation:
Subsitute y for 9, that would be -10×9= -90
-90 - 19 = -109
From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
find the area of the circle which is circumscribed about the right triangle with legs 6 and 8
The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values:
\(c^2 = 6^2 + 8^2\)
\(c^2 = 36 + 64\\ c^2 = 100\)
Taking the square root of both sides:
\(c = \sqrt{100} \\ c = 10\)
Therefore, the length of the hypotenuse is 10 units.
Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.
Now we can calculate the area of the circle using the formula:
Area = π \(r^2\)
where r is the radius of the circle.
Area = π \(5^2\)
Area = π × 25
Area = 78.54 square units
Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
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67765675675 x 46575464
Answer:
3.1562178e+18
Step-by-step explanation:
67765675675
x 46575464
3.1562178e+18
house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain
Answer:
2085 feet
Step-by-step explanation:
If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.
find the surface area of the prism
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
ead the situations below and determine which relationship is not functional.
Situation 1: a cell phone bill to the amount of minutes used
Situation 2: the perimeter of a square to the length of one of the sides of a square
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
Situation
does not represent a function.
This is because
.
There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.
In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.
For example, two people could own different numbers of credit cards but have the same monthly charges.
As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).
Because of this, case 3 does not represent a function.
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In the following image, segment BD bisects segment AC, and three triangles are similar: AABC~ AADB~ ABDC. Complete the two-column
proof of the Pythagorean theorem.
3: A. (AC)DC) + (AC)(CD) = (AC)AC) + (BC)BC)
B. (AC)(CD) + (AC)(AD) = (BC)BC) + (AB)AB)
C. (AB)(CB) + (AD)CD) = (AC)AC) + (BC)BC)
D. (AC)BC) = (AC)(AC) + (BC)BC)
5: A.angle bisector postulate
B. triangles
C. common line segment
D. segment addition postulate
1. The Fill ups are as follow:
AB² + BC² = AC. AD + AC. CD
2. Segment addition postulate
What is Pythagorean theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
BC/ AC = CD/ BC and AB/ AC = AD/ AB
Now, BC² = AC. CD and AB² = AC. AD
Using, Addition Property of Equality
AB² + BC² = AC. AD + AC. CD
and, AB² + BC² = AC (AD + CD) [factor]
AD + CD = AD (segment addition postulate)
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PLATO
i got it correct :)
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2: Suppose a sample of 283 suspected criminals is drawn. Of these people, 93 were captured. Using the data, construct the 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.
The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).
What is the confidence interval of the data?Let's calculate the sample proportion;
Sample proportion = 93 / 283 = 0.33
The margin of error of the data can be calculated by;
Margin of error = Z * √(p(1-p) / n)
where:
Z is the z-score for the desired confidence level (in this case, 85%).p is the sample proportion (0.33).n is the sample size (283).Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05
The confidence interval can be calculated as
Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)
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Can somebody please help with this?
Which function is best represented by the graph?
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above