By solving the system of linear equations by elimination we get the value of x= 2 and y = 1.
What is the system of linear equations?
A grouping of one or more linear equation containing the same variables is known as a system of linear equations.
Here, we have
Given: 8x - 5y = 11....(1), 4x - 3y = 5...(2)
We solve equation(2) and find the value of x
4x = 5+ 3y
x = 5/4 + 3y/4
Now, we put the value of x in equation (1) and we get
8(5/4 + 3y/4) - 5y = 11
5×2 + 2×3y - 5y = 11
10 + y = 11
y = 1
Now, we put the value of y in equation(2) and we get
4x = 5+ 3(1)
4x = 8
x = 2
Hence, by solving the system of linear equations by elimination we get the value of x= 2 and y = 1.
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Determine the surface area and volume. Note: The base is a square.
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
A researcher in sports equipment is investigating the design of racing swimsuits for women. The researcher selected a sample of 40 women swimmers from high school swim teams in the state and randomly assigned each swimmer to one of two groups: suit A or suit B. The women will wear the assigned suits for a certain race, and the mean swim times for each group will be recorded. The difference in the sample mean swim times will be calculated. Which of the following is the appropriate inference procedure for analyzing the results?
A. A two-sample t-interval for a difference between sample means
B. A two-sample t-interval for a difference between population means
C. A one-sample t-interval for a sample mean
D. A one-sample t-interval for a population mean
E. A matched pairs t-interval for a mean difference
Answer:
B. A two-sample t-interval for a difference between population means
Step-by-step explanation:
in the given situation we are comparing the groups that are independent also we test the difference of the population mean so here consider inference procedure for analyzing the results is that there should be two sample t -interval by taking a difference between the population means
hence, the correct option is B.
There where four times as many trucks as vans. What is the ratio of the statements could compare the number of trucks to vans .
Answer:
4:1
Step-by-step explanation:
4 trucks for 1 van
Factor the following:
−5x2−20x
Answer:
-10(1+2x)
Step-by-step explanation:
-10-20x
-10(1+2x)
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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Rewrite the following expression in logarithmic form:
2^9=512
Answer: log(2) 512= 9
Step-by-step explanation:
A P E X ;)
In logarithmic form, the expression \(2^9 = 512\) can be rewritten as follows:
\(log_{(2)}\ 512 = 9\)
As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.
To understand this, let's break down the expression.
The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.
By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.
So, in logarithmic form can be written as:
\(log_{(2)}\ 512 = 9\)
Therefore, in logarithmic form, the expression \(2^9 = 512\) can be rewritten as follows:
\(log_{(2)}\ 512 = 9\)
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I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answer: 69
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The x coordinate of vertex J and L are same of x= -2, JL // Y axis
Height is the perpendicular segment (KD) from K to JL, KD // X axis
area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18
INTERMEDIATE
3 unknown bags of gold with 3 ounces of lead balances with 1 unknown bag of gold
and 4 ounces of lead weights. How much gold is in each bag?
Answer:
I don't know what to do with it but I don't
Step-by-step explanation:
hahahaha
Which of the following is not a real number?
А. 1
B. -4
C. 16
D. 13
B is not a real number.
Real number are numbers that are rational (1, 2, 3, -7, -10 etc) and irriational (pi, 9.7582, 1/7, etc), and can be virtually any number, aside from imaginary numbers. Square roots consist of the same number squared, for example the square root of 9, is 3 or the square root of 10 is 3.162... Both of which are real numbers.
A.) The square root of 1, is 1. 1 is a real number.
B.) The square root of -4 is imaginary. There is no real number that can be squared to get -4.
C.) The square root of 16 is 4. 4 is a real number.
D.) The square root of 13 is 3.605... 3.605... is a real number.
Thus meaning your answer is B.
I hope this helps!
ASAP plz
Write an equation and solve:
Blake and two of his friends are going to an amusement park. The cost of admission to the park is $39.95 per person. Once they are in the park, Blake and his friends ride the race cars, which require an additional fee. If the total amount spent by all three boys is $143.70, then what is the additional fee to ride the race cars?
Answer:
$23.85
Step-by-step explanation:
39.95 x 3 which can also be 39.95 + 39.95 + 39.95=119.85
So then do 143.70-119.85 to find the answer which is 23.85.
Answer:
$23.85
Step-by-step explanation:
Take $39.35 and multiply x3
(39.35 x 3) OR (39.35 + 39.35 + 39.35)
Then take $143.70 and subtract.
($143.70 - $119.85)
= $23.85
The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = . . . cm
(4x + 6) cm
Cm=?
+
The length of the side of the square is given as follows:
20 cm.
How to obtain the side length of the square?In the figure, there are two expressions used to give the side length to each square, as follows:
6x - 1.4x + 6.In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:
6x - 1 = 4x + 6
2x = 7
x = 3.5 cm.
Then the side length of the square is obtained as follows:
6(3.5) - 1 = 20 cm.
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what is the perimeter measured in centimeters of rectangle picture below do not include units in your answer
Answer:
96
Step-by-step explanation:
Formula for Perimeter of Rectangle
P = 2(l+w)
P = 2(30*18)
P = 96
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
4
8
Оооо
32
64
Answer:
64
Step-by-step explanation:
Answer:
D 64
Step-by-step explanation:
The person above me is correct. Got it right on Edge 2021
carey correctly graphs a liner function. the slope of the function is -1. the y-intercept is 3. which is careys graph
Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.
Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).
To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.
After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.
In conclusion, it is represented by the equation y = -x + 3.
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Help please which one
Answer:
6in
Step-by-step explanation:
angle C = 55 <-- 180-70-55=55
meaning the triangle is an isosceles so two sides would be the same.
An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?
Answer:
\(7\frac{5}{16}\) ANSWER (C.
Step-by-step explanation:
Multiply \(9\frac{3}{4}\) by \(\frac{3}{4}\) to get \(\frac{117}{16}\)
-
\(7\frac{5}{16} = \frac{117}{16}\)
because 7 multiply by 16 plus 5 = 117
So 117 over 16
is the same as \(7\frac{5}{16}\) .
A researcher decides to determine if the type of writing utensil that a student uses while doing their math affects their accuracy. A group of 1200 high school students in Algebra are randomly divided into four groups. One group uses a regular pencil, another uses a mechanical pencil, one group uses a pen and the fourth group is allowed to use whatever type of utensil they feel like. A math test is given and the results are tabulated for accuracy. The variable- type of writing utensil - is what type of variable?
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
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A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Answer:
(0.25 ; 21.75)
8.7 (1 decimal place)
Step-by-step explanation:
Net change in scores : X = 6,14,12,23,0
Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11
Sample standard deviation, s = 8.66 ( from calculator)
Sample standard deviation = 8.7( 1 decimal place)
Sample size, n = 5
The 95% confidence interval; we use t, because n is small
Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776
Xbar ± standard Error
Standard Error = Tcritical * s/√n
Standard Error = 2.776 * 8.66/√5
Standard Error = 10.751086 = 10.75
Lower boundary = (11 - 10.75) = 0.25
Upper boundary = (11 + 10.75) = 21.75
(0.25 ; 21.75)
The
Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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3/14/2023
1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answer: -13
Step-by-step explanation:
The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.
Distance = 7 + 5
Distance = 12 feet
Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
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Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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COPY THIS WHAT I WRITE IN UNDER↓↓↓↓↓
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_______________________
AND THAN PASTE IT'S SHOWING IN THE ATTECHMENT
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<( ̄3 ̄)> the cancel thingy wasn't needed until it's mathematics.
Answer:
\({\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}\)
\( \huge\purple{\boxed{\mathfrak{Thanks}}}\)
Complete the table: (Enter your answers as a whole dollar amount.) Units Unit Cost Dollar Cost Beg. Inventory Jan. 1 20 $ 8.00 A May 10 15 $ 11.00 B June 30 17 $ 20.00 C Dec. 10 12 $ 21.00 D 24 units not sold
1. The completion of the inventory table is as follows:
A = $160B = $165C = $340D = 252.2. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:
LIFO FIFO Weighted-Average
Ending inventory $425 $691 $573
Cost of goods sold $492 $226 $344
How do the inventory methods differ?FIFO (First-in, First-out) lies on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.
LIFO:
Ending inventory = $425 ($917 - $492)
Cost of goods sold = $492 (12 x $20 + 12 x $21)
FIFO:
Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)
Cost of goods sold = $226 ($917 - $691)
Weighted Average:
Ending inventory = $573 (40 x $14.33)
Cost of goods sold = $344 (24 x $14.33)
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 20 $8.00 $160
May 10 Purchases 15 $11.00 $165
June 30 Purchases 17 $20.00 $340
Dec. 10 Purchases 12 $21.00 $252
Total 64 $917
Units sold 24
Ending inventory 40 (64 - 24)
Average cost = $14.33 ($917/64)
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Question Completion:2. Calculate the cost of the ending inventory and the cost of goods sold under LIFO, FIFO, and Weighted-Average.
Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
None None None None None None None None None None None None
Answer:
??
Step-by-step explanation:
What’s the answer to this?
Answer:
8V13
Step-by-step explanation:
I just used a calculator.
What is the length of XY?
Answer:
the length is 18
Step-by-step explanation:
Answer:
Hello!
The length of XY is 18
Hope this helps!!
Anne invested $1000 in an account with a 3% annual interest rate. She made no deposits or
withdrawals on the account for 2 years. If interest was compounded annually, which equation
represents the balance in the account after the 2 years?
Evaluate 2x^3 + 5x^2 + 4x + 8 when x = -2
Answer:
4Step-by-step explanation:
Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;
F(x) = 2x³ + 5x² + 4x + 8
at x = -2
f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8
f(-2) = 2(-8) + 5(4) +(-8) + 8
f(-2) = -16+20-8+8
f(-2) = -16+20
f(-2) = 4
The value of the function when x = -2 is 4
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%