First problem:
C
Second:
A
Third:
C
.......................................
Answer:
k = - 7/3Step-by-step explanation:
The given expression is the sum of three non-negative expressions. The square is zero or positive, the absolute value is zero or positive.
Since the sum is zero, each of the expressions should equal zero:
2x + 5y - 7 = 0 4x - 2y = 05x - 1/2y + k = 0From the first 2 equations we get:
4x = 2y ⇒ y = 2x2x + 5(2x) = 712x = 7x = 7/12Find the value of y:
y = 2x= 2*7/12 = 7/6Substitute the values into third equation and find the value of k:
5x - 1/2y + k = 05*7/12 - 1/2(7/6) + k = 035/12 - 7/12 = - k28/12 = - k7/3 = - kk = - 7/3Graph y=5/3x-9
Please help ASAP
Answer:
1
Step-by-step explanation:
Find the equation of the line.
Use exact numbers,
Answer:
y = 3x + 3
Step-by-step explanation:
Rise: 3 Run: 1
slope (m) = 3/1 = 3
y intercept (b) = 3
y = mx + b = 3x + 3
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.- 9x - 3y = -4
45x + 15y = 20
Answer:
hello did you already get the answers
I need help with this question
9514 1404 393
Answer:
x = 22, y = 123
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(2x +13)° +57° +3x° = 180°
5x +70 = 180 . . . . . . . . . . . . . collect terms, divde by °
5x = 110 . . . . . . . . . . . subtract 70
x = 22 . . . . . . . . divide by 5
__
Angles in a linear pair are supplementary.
y° + 57° = 180°
y = 123 . . . . . . . . divide by °, subtract 57
Raymond currently earns $600 per month working. Each year he will get a $100 per month raise. How much money will Raymond earn per month in 7 years?
Answer:
$1300
Step-by-step explanation:
Raymond currently earns $600 per month and gets an annual raise of $100 per month.
To find out how much money he will make in 7 years, first multiply the number of years by the annual raise.
7 × $100 = $700
Add the value found by the amount he makes currently
$700 + $600 = $1300
In 7 years, Raymond will earn $1300 per month.
Answer: 1300
Step-by-step explanation:
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random sample of 12 sample specimens has a mean compressive strength of psi. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete. Enter your answer; 95% confidence interval, lower bound Enter your answer; 95% confidence interval, upper bound (b) Calculate the 99% two-sided confidence interval on the true mean compressive strength of concrete.
Answer:
95%: (3278.354 ; 3270.083)
99% : (3221.646 ; 3278.354)
Step-by-step explanation:
Given :
Sample size, n = 12
Mean, xbar = 3250
Sample standard deviation = √1000
The 95% confidence interval :
Mean ± Margin of error
Margin of Error = Tcritical * s/√n
Tcritical at 0.05, df=12-1 = 11 ;
Tcritical at 95% = 2.20
Hence,
Margin of Error = (2.20 * √1000/√12) = 20.083
Confidence interval : 3250 ± 20.083
Lower boundary = 3250 - 20.083 = 3229.917
Upper boundary = 3250 + 20.083 = 3270.083
2.)
The 99% confidence interval :
Mean ± Margin of error
Margin of Error = Tcritical * s/√n
Tcritical at 0.01, df=12-1 = 11 ;
Tcritical at 99% = 3.106
Hence,
Margin of Error = (3.106 * √1000/√12) = 28.354
Confidence interval : 3250 ± 28.354
Lower boundary = 3250 - 28.354 = 3221.646
Upper boundary = 3250 + 28.354 = 3278.354
There are 3 1/2 pounds of bricks in a bag. Each brick weighs 1/2 of a pound. How many bricks are in the bag?
Answer:
i dont think i have the facilities to do that honestly
Step-by-step explanation:
In 2000, Jose Gonzalez earned $54,700 as a self-employed worker. He also earned $40,150 as an employee. How much FICA tax did he pay for both earnings? Note: Self-employed tax rate is 15.3% and the employee tax rate is 7.65%.$10,992.75$11,025.50$11,155.90$11,440.58None of these choices are correct.
Answer:
$11,440.58
Explanation:
Amount earned as a self-employed worker = $54,700
Self-employed tax rate = 15.3%
Amount earned as an employee = $40,150
The employee tax rate = 7.65%.
\(Total\; \text{Tax Paid=(}15.3\%\times54700)+(7.65\%\times40150)\)We solve for our result:
\(\begin{gathered} Total\; \text{Tax Paid=(}\frac{15.3}{100}\times54700)+(\frac{7.65}{100}\times40150) \\ =\text{(}0.153\times54700)+(0.0765\times40150) \\ =8369.1+3071.48 \\ =11440.58 \end{gathered}\)The total FICA tax he paid for both earnings is $11,440.58.
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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Which correctly shows the substitution step for the system?
y = x - 4
-4x - 6y = -16
O x-4 = -4x-6y
-4(x-4) - 6y = -16
O-4x-6(x-4) = -16
6y = x - 4
The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct
To solve the given system of equations:
1) y = x - 4
2) -4x - 6y = -16
We can use the substitution method to eliminate one variable and solve for the other.
Step 1: Solve the first equation (1) for y in terms of x.
y = x - 4
Step 2: Substitute the expression for y from equation (1) into equation (2).
-4x - 6(x - 4) = -16
Step 3: Simplify and solve for x.
-4x - 6x + 24 = -16
-10x + 24 = -16
-10x = -16 - 24
-10x = -40
x = -40 / -10
x = 4
Step 4: Substitute the value of x back into equation (1) to solve for y.
y = 4 - 4
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
In summary, the correct substitution step for the system is:
-4x - 6(x - 4) = -16
By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct
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Given: Quadrilateral DEFG is inscribed in circle P.
Prove: m∠D+m∠F=180∘
The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.
To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.
In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.
Let's start the proof:
1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.
2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.
3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.
4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).
5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.
6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.
7. Now, we need to show that arc DE + arc FG = 360∘.
8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.
9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.
10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.
11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.
12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.
13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.
14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.
15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.
16. Simplifying, we have 90∘ = 180∘, which is a true statement.
17. Therefore, we have proven that m∠D + m∠F = 180∘.
Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.
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Question 2
10 pts
There are 120 girls and 80 boys in the sixth grade at a middle school. Of these, 9 girls and 3
boys write left-handed. What percentage of the sixth graders at this middle school write left-
handed?
Simplifying
Column
(optional)
Part
12
?
Total
200
100%
495
8%
6%
20%
The trip to and from work each day is 5 2/9 kilometers. If gina does this 5 days a week ,how many kilometers does she travel
Answer: Answer is 26.11 Kilometers
Step-by-step explanation:
First, we will convert the mixed fraction into improper fraction for easy calculation. So, the steps to convert mixed fraction to improper fraction are :-
Step 1- Multiply the denominator by the whole number
9 × 5 = 45
Step 2- Add the answer from Step 1 to the numerator
45 + 2 = 47
Step 3 - Write answer from Step 2 over the denominator
47/9
So, Mixed fraction is 47/9.
In other words, she travels 5.22 Kilometers daily.
Now, Gina travels 47/9 km daily to and from for work.
So, Kilometers travelled by her in 5 days are
47/9 * 5 = 26.11 Kilometer
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El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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Have 5 minutes left!!!!!
Which system of equations below has exactly one solution?
O y = -8x - 6 and y = -8x + 6
O y = -8x -6 and 7y = -4x - 3
O y = -8x - 6 and y = 8x - 6
Q y = -8x - 6 and -y = 8x + 6
Answer:
Y=-8x-6 and x=-8x+
Step-by-step explanation:
(Y = 179x
(Y = 105x + 2046
Graph pls
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
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In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.)
I WILL GIVE OUT BRAINLIEST IF CORRECT!
A. 76°
B. 90°
C. 104°
D. 142°
E. 152° (NOT E)!
Answer:
e
Step-by-step explanation:
Answer
C
Step-by-step explanation:
76+104 is 180
complete the table for each circle
Answer:
written in blue are answer
Step-by-step explanation:
please mark me brainliest ....
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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Hope makes 3 group of shapes
What Larger group to the shapes in C and B belong in
The groups of the shapes are;
Group A : Parallelogram: This is made up of a quadrilateral that is known to have two pairs of parallel sides. Group B : RectangleWhat is in a parallelogram?A parallelogram is known to be a kind of a quadrilateral that consist of two pairs of parallel sides.
Note that the opposite sides of a parallelogram is said to be equal in length, and the opposite angles are known to be of the same measure. So this tells that the shapes in group A are parallelograms.
The shapes in the group B are known to have opposite parallel sides and the angle that exist between the adjacent sides is seen as 90 degrees. This tells that the shapes in group A are rectangles
Therefore, The groups of the shapes are;
Group A : Parallelogram: This is made up of a quadrilateral that is known to have two pairs of parallel sides. Group B : RectangleLearn more about Shapes from
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Evaluate the circulation of G =xyi +zj +4yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.
Answer:
I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
The 99% confidence interval for the population proportion p is (0.776, 0.824).
To find the 99% confidence interval for a proportion, we can use the formula:
CI = p^ ± z*(SE)
where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.
For a 99% confidence interval, the critical value z is 2.576.
Substituting the given values into the formula, we have:
CI = 0.80 ± 2.576*(0.03/√200)
Simplifying this expression, we have:
CI = 0.80 ± 0.024
This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.
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The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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If a deck of cards is 7/10 of an inch tall, how tall is the package of 6 decks of cards?
Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing. How much is the total amount paid for the used car plus expenses?
The total amount paid for the used car plus expenses will be $6,914.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Zaida purchased a used car for $6,500.
State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Now,
Since, Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Hence, The total amount paid for the used car plus expenses is,
⇒ $6500 + 4% of 6500 + $72 + $45 + $37
⇒ $6500 + $260 + $154
⇒ $6,914
Thus, The total amount paid for the used car plus expenses = $6,914
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Round 156.789 to nearest
One?
Tenth?
Hundredth?
Answer:
Nearest One: 157
Nearest Tenth: 156.8
Nearest Hundredth: 156.79
Rounding off a number is done to make the calculation easier, it does not give us the perfect answer but an approximation.
A number ending with 0, 1, 2, 3, and 4 is rounded down.
example: 10.583 will be equal to 10.57
A number ending with 5, 6, 7, 8, and 9 is rounded up.
example: 10.587 will be equal to 10.59
Given number = 156.789
For ones, the round-off value will be 157, as the number at the one place after the decimal is 7.
For the tenth, the round-off value will be 156.8, as the number at the tenth place after the decimal is 8.
For the Hundredth, the round-off value will be 156.79, as the number at the Hundredth place after the decimal is 9.
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Please help meh please
Step-by-step explanation:
Movie pricing per person is $7.75
hockey pricing per person is $7.90
The Movie pricing is less per person because 7.90<7.75
I hope it answers
Answer:
movies
Step-by-step explanation:
im adding a picture of the explination because i worked it out