Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
Additional comment
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Which character from The Owl House there name A luz B amity C gus D eda
Answer:
B AMITY
Step-by-step explanation:
Owl House is a very good serial!
Answer:
Straight hair, straight A's straightforward, who is my profile picture?
Step-by-step explanation:
Our lord amity
Supreme Auto Parts produces components for motorcycle engines. It has plants in Amarillo, Texas, and Charlotte, North Carolina, and supply factories in Detroit and Atlanta. Production and cost data for a major component are as follows. Freight Costs Plant Detroit Atlanta Capacity Unit CostAmarillo $15 $9 $1,500 $110Charlotte $7 $5 $3,300 $120Demand 2,100 1,000 Formulate a transportation model to determine the best distribution plan. If the constant is equal to one, enter "1".Let: X11 = number of components produced in Amarillo and supplied to DetroitX12 = number of components produced in Amarillo and supplied to AtlantaX21 = number of components produced in Charlotte and supplied to DetroitX22 = number of components produced in Charlotte and supplied to Atlanta Min X11 + X12 + X21 + X22 Subject to the constraints X11 + X12 -Select-≤≥=Item 7 X21 + X22 -Select-≤≥=Item 11 + X21 -Select-≤≥=Item 15 X12 + X22 -Select-≤≥=Item 19 X11, X12, X21, X22 ≥ 0
According to the given information the Minimize equation is
Z = 110X11 + 120X12 + 120X21 + 130X22.
What is Statistics ?
Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.
Minimize:
Z = 110X11 + 120X12 + 120X21 + 130X22
Subject to:
X11 + X12 ≤ 1500 (capacity constraint for Amarillo)
X21 + X22 ≤ 3300 (capacity constraint for Charlotte)
X11 + X21 ≥ 2100 (demand constraint for Detroit)
X12 + X22 ≥ 1000 (demand constraint for Atlanta)
where:
X11 = number of components produced in Amarillo and supplied to Detroit
X12 = number of components produced in Amarillo and supplied to Atlanta
X21 = number of components produced in Charlotte and supplied to Detroit
X22 = number of components produced in Charlotte and supplied to Atlanta
Therefore, according to the given information the Minimize equation is
Z = 110X11 + 120X12 + 120X21 + 130X22
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What is
4*10^5/4*10^-6=?
Make a the subject of the formulae
5c = 3b(6a + 2)
Answer:
\(a = \frac{5c-6b}{18b}\)
Step-by-step explanation:
\(5c = 3b(6a + 2)\)
\(\frac{5c}{3b} = (6a + 2)\)
\(\frac{5c}{3b}-2 = 6a\)
\(\frac{5c-6b}{3b} = 6a\)
\(\frac{5c-6b}{18b} = a\)
plz help me with this??!
Step-by-step explanation:
–5/6 + 7/5 = –25/30 + 42/30
= 17/30
Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
1.State the null and alternative hypotheses.
a. H0: µ = 0, Ha: µ > 11.88
b. H0: µ = 0, Ha: µ ≠ 11.88
c. H0: µ = 0, Ha: µ > 12
d. H0: µ = 0, Ha: µ ≠ 12
2.Specify the rejection region for = 0.01. Reject H0 if
a. t > 2.68
b. t < -2.68
c. |t| > 2.68
d. z < 2.68
3.Calculate the p-value
a. 0.01
b. 0.02
c. 0.005
d. 0.05
4. What is your conclusion?
a. Reject H0
b. Fail to reject H0
c. Reject Ha
d. Fail to reject Ha
The null and alternative hypotheses can be stated as follows:
c. H0: µ = 12, Ha: µ ≠ 12
The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.
The rejection region for α = 0.01 can be specified as:
c. |t| > 2.68
This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.
To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.
The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.
Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.
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Simplify the following expressions by performing the operation.
(3+4i) 2(5 + 6i)
After solving the Expression using the properties of complex number we get the number as -18 + 76i.
What is iota ?Complex Number is a number that consists both real part and imaginary part. It can be generally written in equation as z=a + bi where is real part while is imaginary part.
Since complex number consists two parts - real and imaginary, we can say that all real numbers and imaginary numbers are indeed complex number.
As by the Property of iota,
i² = -1
Then the next step is to simplify the terms,
After Simplifying, we get
30 + 36i + 40i + 48i²
= 30 + 76i + (-48)
= 76i - 18
Hence we get the number as -18 + 76i
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The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm
The curved surface area of the cylinder is 48.06 cm².
The circumference of a cylinder is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the base.
In this case, the given circumference is 6 cm.
So, 6 = 2πr
r = 6 / (2π)
r ≈ 0.955 cm
Now, the curved surface area (CSA) of the cylinder using the formula:
CSA = 2πrh
Given the height as 8 cm, we can substitute the values into the formula:
CSA = 2π(0.955 cm)(8 cm)
CSA ≈ 48.06 cm²
Therefore, the curved surface area of the cylinder is 48.06 cm².
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Kristina paid mortgage interest of
$6,320.00 and Medical Expenses of
$19,500.00 during 2022. Her
GROSS INCOME was $32,500.
16. Should Kristina take the
standard deduction or itemize her
two expenses? Why?
A)She should take the standard
deduction because it would be larger than her itemized deductions.
B) She should take the itemized
deductions because they would be larger than the standard deduction.
C) It wouldn't matter. Choosing either one
wouldn't change the outcome of your tax calculations.
Answer:
B) She should take the itemized deductions because they would be larger than the standard deduction.
Step-by-step explanation:
Given Kristina will file a single so her standard deduction for 2022 is $12,950.
For itemized deduction, she can include her mortgage interest of $6,320.00.
For her medical expenses, it has to be more than 7.5% of her gross income of $32,500 => 7.5% of $32,500 = $2437.5.
so her deduction for medical expenses is $19,500 - $2437.50 = $17,062.5
so her total itemized deduction is $6,320.00 + $17,062.50 = $23,382.50
Her itemized deduction is larger than standard deduction for single filing. So itemized deduction is the best option for Kristina.
A board that is 6.5 feet long has a section cut off that is 3.8 feet long. How much of the board is left?
I am not too sure but i think it is 2.7 feet.
micah was giving $200 for his birthday each week he spends 15$ on comic book. in how many weeks will his birthday money be gone?
Micahs money will be gone within about 13 weeks. He will, however, still have $5 left over.
arccsc(\(\frac{2}{3}\)\(\sqrt{3}\))
The arc cossecant of the given value is of 30º.
Cosecant and arc cosecantThe cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:
cos(x) = 1/sin(x)
The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.
In this problem, the arc cossecant that is asked is:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)
Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.
Hence the numeric value of the expression is presented as follows:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)
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6 and 5 hundredths written in decimal
Answer:6.05
Step-by-step explanation:
6 is the ones place. 0 is the tenths place. 5 is the hundredths place.
pls help I GIVE BRAINIEST.In the graph above, determine where the image for vertices A, B, C, and D will be located after Quadrilateral ABCD is reflected over the y = 0 mirror line and then dilated using a scale factor of 2.5.
Step-by-step explanation:
reflect the shape, will give you:
A = (-1,0)
B= (3, -5)
C= (-6, -7)
D= (-4, -1)
If a point A(x, y) is dilated by a factor P, the new point would be at
A'(Px, Py).
A = -1/2.5 = -0.4 0/2.5= 0
= ( - 0.4, 0)
B = 3/2.5 = 1.2 -5/2.5 = -2
= (1.2, -2)
C = -6/2.5= -2.4 -7/2.5 = -2.8
= ( -2,4, -2.8)
D = -4/2.5 = -1.6. -1/2.5 = -0.4
= ( -1.6, -0.4)
You're Welcome!
Answer:
Step-by-step explanation:
( -1.6, -0.4)
I have to turn this in today!!! Please help me ASAP!
Answer:
D. 9/5
Step-by-step explanation:
27:15= 9:5
18:10= 9:5
Answer:
D) \(\frac{9}{5}\)
Step-by-step explanation:
The scale factor between the shapes is 1.8 or 9/5 as a fraction.
Hope it helps!
Need help with this math. It’s either C or D? Please help
C
Step-by-step explanation:From my sources, it seems that each sine function's curve repeats itself. Or another word, "periodicity". The length for the sine and cosine curves is 2π. So I think it is C because the option says how "The cycle repeats every πradius."
I hope this helps!! If it isn't right I'm really sorry, tell me and I can correct it. Have a nice day. Also, sorry to ask but if someone else ever answers can you mark me as brainliest? I'm trying to go up a rank. Thank you.
What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18
389.85+ 12.24 the lattice method
Answer: 402.09
Step-by-step explanation:
How do you find the answer to 4x+6<-6
Answer:
x < -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4x + 6 < -6
Step 2: Solve for x
Subtract 6 on both sides: 4x < -12Divide 4 on both sides: x < -3Complete the table of values
Answer/Step-by-step explanation:
✔️when x = 0:
\( 4^{-x} \)
Plug in the value of x
\( 4^{-0} \)
\( \frac{1}{4^0} \) (negative exponent)
\( \frac{1}{1} \) (whatever number that is raised to the power of 0 = 1)
a = 1
✔️when x = 2:
\( 4^{-x} \)
Plug in the value of x
\( 4^{-2} \)
\( \frac{1}{4^2} \) (negative exponent)
\( b = \frac{1}{16} \)
✔️when x = 4:
\( 4^{-x} \)
Plug in the value of x
\( 4^{-4} \)
\( \frac{1}{4^4} \) (negative exponent)
\( c = \frac{1}{256} \)
write an equation in point-slope form for the line through the given point with the given slope
(10,-9)m is -2
Answer:
Step-by-step explanation:
Point: 10,-9
k=-2
y=-2x+b
So: 9, -7
8,-5
7,-3
6,-1
5,1
4,3
3,5
2,7
1,9
0,11
y=-2x+11
Answer:
y + 9 = - 2(x - 10)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 2 and (a, b ) = (10, - 9 ) , then
y - (- 9) = - 2(x - 10) , that is
y + 9 = - 2(x - 10)
Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.
Answer:
62.5 meters per minutes
Step-by-step explanation:
Find the circumference of the circle. Round to the nearest tenth.
A. 148.4 m
B. 169.6 m
C. 84.8 m
D. 54.0 m
Answer:
251.2 in
Step-by-step explanation:
Circumference of circle = 2 · π · r
π = 3.14
r = 40 in
Let's solve
2 · 3.14 · 40 = 251.2 in
So, the circumference of the circle is 251.2 in
Help&EXPLAIN
•••••••••••••••••••
Answer:
46 in squared
Step-by-step explanation:
Rectangular prism surface area formula
Surface area = 2(lw + wh + lh)
Where w is width, h is height, and l is length
Plug in numbers and solve
4t^2-6 when t is 3
Math question
Answer:
30
Step-by-step explanation:
4t^2-6 when t is 3
Since we know t=3, we can substitute that in
4(3^2) - 6
Simplify.
3^2 = 9
= 4(9) - 6
= 36 - 6
= 30
Expressed in simplest form,(3x^3)(2y)^2(4x^4) is equivalent to
Answer:
Step-by-step explanation:
3\(x^{3}\)\((2y)^{2}\)4\(x^{4}\)
So I wrote down exactly above how the eq. is put in the question, note that the 2y is the only coefficient that is inside of the parenthesis, I hope that is how the question is asked. The 3 and 4 coefficient are NOT part of the exponential part.. is my point.. which will make a big difference if they were.
anyway
3\(x^{3}\)4\(y^{2}\)4\(x^{4}\)
48\(y^{2}\)\(x^{3}\)\(x^{4}\) ( b/c the x bases are the same we can just add the exponents)
48\(y^{2}\)\(x^{3+4}\)
48\(y^{2}\)\(x^{7}\) ( this is your answer )
side note: an important learning point that was implied above is that you could rewrite the expression as 48\(y^{2}\)\(x^{2}\)\(x^{2}\)\(x^{2}\)\(x^{1}\)... why would you want to write it that way? b/c often a square is needed to make a problem work out easier.
as in Cos^2(Ф) + Sin^2(Ф) = 1 but that's another question L :P
(if you're read this far.. good for you.. if it's the 1st time you've heard of that rule for exponents then ask your teacher / professor if I can have 1/2 of their pay since I am doing their job :D )
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
In a soccer field, four fifths
of the field is made up of soil and the remaining part is made up of grass and has 24 square meters. How many meters does the soil part have?
Answer: 96 square meters
Step-by-step explanation:
x=total meters.
y=4/5 * x
x=5/4 * y
x=4/5*x+24
5/4*y=y+24
(5/4*y=y+24)*4
5y=4y+96
y=96 square meters
determine the measure of CD from the diagram below
Answer:
100 degrees
Step-by-step explanation:
This is because AED And CED ARE supplimetary.
80+<CED=180
-80 -80
<Ced=100
What is the domain and range of y=2x+5