9514 1404 393
Answer:
140°
Step-by-step explanation:
Angles 1 and 3 are "corresponding" angles, so are congruent.
∠1 = ∠3
20x +60 = 30x +20
40 = 10x . . . . . . . . . . . . subtract 20x+20
4 = x . . . . . . . . . . . . . . divide by 10
∠1 = 20x +60 = 20(4) +60 = 80 +60
∠1 = 140°
Answer:
140°
Step-by-step explanation:
Angle 1 and angle 3 are corresponding angles ;
Corresponding angles are equal ;
Hence,
Angle 1 = Angle 3
20x + 60 = 30x + 20
Collect like terms
20x - 30x = 20 - 60
-10x = - 40
x = 4
Angle 1 is thus :
20x + 60 ; x = 4
20(4) + 60
80 + 60
= 140°
-30 +5=
solve and explain
Answer:
-25
Step-by-step explanation:
-25 because a positive and a negative equals a negative and if you subtract those to number it equal -25 ( it also gets closer to zero so it's not in the positives yet!)
Answer:
-30 + 5 = -25
Step-by-step explanation:
30 - 5 = 25
so
-30 + 5 = 25
a: b= 7:2
How many times larger is a than b?
Answer:
3.5x larger
Step-by-step explanation:
All you do is 7 divided by 2 for an easy answer.
Answer:
\(a \: is \: 3.5times \: larger \: than \: b.....\)
I'm having trouble understanding this..
Factories A and B sent rice to stores 1 and 2. A sent 14 loads and B sent 22. Store 1 used 20 loads and
store 2 used 16. It cost $200 to ship from A to 1, $350 from A to 2, $300 from B to 1, and $250 from B
to 2. $8600 was spent. How many loads went where ?
Factory A sent 14 loads of rice to Store 1
Factory A sent no loads of rice to Store 2
Factory B sent 6 loads of rice to Store 1
Factory B sent 16 loads of rice to Store 2
Let
A1 = Loads sent from Factory A to Store 1
A2 = Loads sent from Factory A to Store 2
B1 = Loads sent from Factory B to Store 1
B2 = Loads sent from Factory B to Store 2
Then, the equations describing the scenario are;
\(A1+A2=14\)
\(B1+B2=22\)
\(A1+B1=20\)
\(A2+B2=16\)
\(200A1+350A2+300B1+250B2=8600\)
The simultaneous equations can be expressed in matrix form thus:
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&1&0&0&14\\0&0&1&1&22\\1&0&1&0&20\\0&1&0&1&16\\200&350&300&250&8600\end{array}\right]\)
Reducing the matrix:
Step 1:
\(R_3 \leftarrow R_3 - R_1\\R_5 \leftarrow R_5 - 200R_1\)
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&1&0&0&14\\0&0&1&1&22\\0&-1&1&0&6\\0&1&0&1&16\\0&150&300&250&5800\end{array}\right]\)
Step 2:
Switch \(R_4\) and \(R_2\)
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&1&0&0&14\\0&1&0&1&16\\0&-1&1&0&6\\0&0&1&1&22\\0&150&300&250&5800\end{array}\right]\)
Step 3:
\(R_3\leftarrow R_3+R_2\\R_5 \leftarrow R_5-150R_2\)
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&1&0&0&14\\0&1&0&1&16\\0&0&1&1&22\\0&0&1&1&22\\0&0&300&100&3400\end{array}\right]\)
Step 4:
\(R_4\leftarrow R_4+R_3\\R_5 \leftarrow R_5-300R_3\)
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&1&0&0&14\\0&1&0&1&16\\0&0&1&1&22\\0&0&0&0&0\\0&0&0&-200&-3200\end{array}\right]\)
Step 5:
Switch \(R_4\) and \(R_5\)
\(R_4\leftarrow R_4 \times \frac{1}{-200}\\R_1 \leftarrow R_1-R_2\)
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&0&0&-1&-2\\0&1&0&1&16\\0&0&1&1&22\\0&0&0&1&16\\0&0&0&0&0\end{array}\right]\)
Step 6:
\(R_1 \leftarrow R_1 + R_4\\R_2\leftarrow R_2 - R_4\\R_3 \leftarrow R_3-R_4\)
\(\left[\begin{array}{ccccc}{A1}&{A2}&{B1}&{B2}&{}\\1&0&0&0&14\\0&1&0&0&0\\0&0&1&0&6\\0&0&0&1&16\\0&0&0&0&0\end{array}\right]\)
So,
\(A1=14\\A2=0\\B1=6\\B2=16\)
From the above calculations, we see that
Factory A sent 14 loads of rice to Store 1
Factory A sent no loads of rice to Store 2
Factory B sent 6 loads of rice to Store 1
Factory B sent 16 loads of rice to Store 2
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Will Give Brainliest and 30 credits!! thank you!
Answer:
75.4
Step-by-step explanation:
2·π·12
75.36
The equation for finding the circumference of a circle is 2pi times the radius.
The radius is already given, so we multiply it by 2.
12*2
= 24
After that, we multiply 24 by pi.
24*3.14
= 75.36
Find two numbers the exact answer is between 6×7381
The two numbers so that the exact answer is between 6×7381 are 28,000 and 48,000.
Given:
To find two numbers the exact answer is between 6×7381.
7,381 is between the numbers 7,000 and 8,000.
Rounding the number 7,381 down to 7000 and multiplying 6 by it.
6 × 7,000 is 28,000
Rounding the number 7,381 up to 8000 and multiplying 6 by it.
6 × 8,000 is 48,000
The two numbers so that the exact answer is between 6×7381 are 28,000 and 48,000 respectively.
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What the improper fraction of 9 1/3
Answer:
The improper fraction of 9 1/3 is 28/3
Answer:
28/3
Step-by-step explanation:
a way to get the improper fraction from a mixed fraction is to
1. multiply the whole number by the denominator
2. then add the numerator
9 (whole number) times 3 (denominator) = 27
27 plus 1 (numerator) = 28
Hope this helps dude
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Complete the table given the following function:
y = 3x + 1
X
01
1 *blank*
2 *blank*
3 *blank*
-1 *blank*
Ordered Pair
(0, 1)
(1,4)
(2, *blank*)
(-1. *blank)
POSSIBLE POINTS: 20
The complete table of values of the linear equation is
x | y
0 | 1
1 | 4
2 | 7
3 | 10
-1 | -2
The ordered pairs are (x, y) = (0, 1), (1, 4), (2, 7), (3, 10) and (-1, -2)
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to make a table of values for the following equation?The linear equation of the function is given as
y = 3x + 1
On the incomplete table of values, we have the following x values
x = 0, 1, 2, 3, -1
Next, we substitute x = 0, 1, 2, 3, -1 in the equation y = 3x + 1
So, we have:
y = 3 x 0 + 1 = 1
y = 3 x 1 + 1 = 4
y = 3 x 2 + 1 = 7
y = 3 x 3 + 1 = 10
y = 3 x -1 + 1 = -2
So, the complete table of values of the linear equation is
x | y
0 | 1
1 | 4
2 | 7
3 | 10
-1 | -2
When represented as ordered pairs, we have
(x, y) = (0, 1), (1, 4), (2, 7), (3, 10) and (-1, -2)
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50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM
Answer:
(b) 27°
(c) 34°
( ) 27°
Step-by-step explanation:
Angle relations involving lines, parallel lines, and triangles come into play here.
angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent(b)The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.
(180° -6x) +90° +(180° -4x) = 180°
270° = 10x . . . . . . . . . add 10x and simplify
27° = x
(c)The vertical angles at S are congruent. This tells us ...
3x +∠PSQ = 4x
∠PSQ = x
The sum of angles in triangle PSQ is 180°, so we have ...
x +x +(180° -68°) = 180°
2x = 68° . . . . . . . . add 60°-180°
x = 34° . . . . . . . . . divide by 2
( )Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.
2x +2x +72° = 180°
4x = 108° . . . . . . subtract 72°
x = 27° . . . . . . . . divide by 4
2. Which relation below is NOT a function?
A. {(-2, 4), (1,3), (0,4)}
B. {(5,5), (4,4), (3,3) }
C. {(-4,0), (-7,0), (11, 0)}
D. {(1,4), (2,5) (1,7)}
C is the answer to that question i think
Answer:
b
Step-by-step explanation:
The answer is B because different X values cannot have the same y values. For example in A the x values, -2 and 0, have the same y value 4. That's not possible.
Although C also has a similar problem ALL of the X values have the same y value meaning that the function is an undefined function which is still a type of function. Its basically a function where all the y values are the same.
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
what equation is equivalent to the given equation?
The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.
What is an equivalent expressiοn?The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).
The equatiοn is given belοw.
x² + 16x = 22
Add bοth side 64.
x² + 16x + 64 = 22 + 64
(x + 8)² = 86
Then the cοrrect οptiοn is A.
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Complete question:
Which equation is equivalent to the given equation? x² + 16x = 22
a. (x+8)² = 86
b. (x+8)² = 38
c. (x+16)² = 278
d. (x+4)² = 22
Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
The given box plot represented by the data sets in option A and B.
From the given box plot, we have
Minimum value = 3
Maximum value = 18
First quartile (Q1) = 7
Third quartile (Q3) = 13
Median = 10
Option A:
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
Median = 12
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option B:
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Option C:
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option D:
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Therefore, the correct options are B and D.
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A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Question:
The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.
A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Answer:
\(y = 97522.7\)
Step-by-step explanation:
Given
\(y = 1.5x + 22.7\)
\(x = 65000\)
Required
Find y
Substitute 65000 for x in the given equation
\(y = 1.5 * 65000 + 22.7\)
\(y = 97500 + 22.7\)
\(y = 97522.7\)
It is reasonable because as the population increases, the noise level also increases
Your employer is paying 100% of a health plan that costs $7,200.00. How much are you paying?
Answer:
You are paying 0%, as your employer is paying the full price. 100% is equal to 1.
Answer:
Nothing
Step-by-step explanation:
100% of $7,200 leaves you to pay nothing ($0.00)
Does anyone know the correct answer.
A security keypad uses five digits (0 to 9) in a specific order. How many different
keypad patterns are possible if the first three digits must be even and the last digit
cannot be zero?
The different keypad patterns that are possible if the first three digits must be even and the last digit cannot be zero is 17500 ways.
How to calculate the value?It should be noted that the security keypad uses five digits (0 to 9) in a specific order. On this case, the numbers from 0 to 9 make up 10 numbers.
In this case, there are 5 even numbers.
The total number of possible codes will be:
= 5 × 5 × 10 × 10 × 7
= 17500
There are 17500 ways.
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If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
Which measurements can create more than one triangle? three angles measuring 75 degrees, 45 degrees, and 60 degrees three sides measuring 7 m, 10 m, and 12 m three angles measuring 40 degrees, 50 degrees, and 60 degrees three sides measuring 3 cm, 4 cm, and 5 cm
We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...
What is triangle?Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.
We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.
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Divide -4-i/2+3i i , write answer in standard form a + bi This is a multiple choice question, pick one of the choices for your answer.
-11/13 + 10/13 i
-11/13 - 10/13 i
-11/5 + 2i
-11/5 -2i
Answer:
Step-by-step explanation:
\(\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}\)
the answer is b
A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy \(2.25\ \text{ft}^2\)
Area of first level
\(75\times 75=5625\ \text{ft}^2\)
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
\(\dfrac{5625}{2.25}=2500\)
The number of tickets that can be sold for the first level is 2500.
Please help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.8% per hour. How many hours does it take for the size of the sample to double?
It will take 5.189 hours to get doubled the size of Sample.
What is Exponential Function?A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given:
Growth rate = 5.8%
The continuous exponential growth model for populations is given by:
P(t)= \(P_0 e^{rt\)
So, r= 5.8%
r = 0.058
Now, the time taken to double the sample then P(t) = 2P(0).
So, P(t)= \(P_0 e^{0.058t\)
2P(0) = \(P_0 e^{0.058t\)
\(e^{0.058t\) = 2
Taking log on both side
log \(e^{0.058t\) = log 2
0.058 t = 0.301
t= 0.301/ 0.058
t = 5.189
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Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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A culture started with 2,000 bacteria. After 6
hours, it grew to 2.200 bacteria. Predict how
many bacteria will be present after 12 hours
Round your answer to the nearest whole
number.
7.5% of what is 7.38?
Answer:
What =98.4
Step-by-step explanation:
Of means multiply and is means equals
7.5% * What = 7.38
Change to decimal form
.075 * what = 7.38
Divide each side by .075
.075 What /.075 = 7.38/.075
What =98.4
Answer:
the answer for this question is 98.4
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
One pound of candies costs $3.50.
a) How much will we have to pay for 3 lb?
b)How much will we have to pay for 4.5 lb?
c)How many pound of candies can be bought for $7?
d)How many pound of candies can be bought for $10.50?
Answer:
a). $10.50
b). $15.75
c). 2 POUNDS
d). 3 POUNDS
Step-by-step explanation:
Answer of option (a)=$10.50 , (b)=$15.75 , (c)=2 pound , (d)=3 pound.
What is cost?Cost is an amount to be spent to buy something or obtain something.
Given that,
The cost for one pound of candies is $3.50,
(a) The coast For 3 pounds of candies = 3.50×3=10.50
(b) The coast For 4.5 pounds of candies = 3.50×4.50=15.75
(c) For $3.50 ,1 pound candies can be bought, so for $7 , 2 pound candies can be bought (Since 3.50×2=7)
(d) For 3.50 , 1 pound candies can be bought, so for $10.50 , 3 pound candies can be bought (Since 3.50×2=7)
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An appliance store decreases the price of a 19 inch television set 21% to a sale price of $475.19. What was the original price
Answer:
The original price of the TV was $609.51
Step-by-step explanation:
100% - 21% = 79%
Now the question were really asking here is "475.19 is 79% of what?"
475.19 = 0.79 * x
To get x we must take 475.19 and divide by 0.79, which is about 601.51
The original price of the TV was $609.51
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