Answer:
13 days
Step-by-step explanation:
51-25=26
26/2=13
2x+y=-7 5x+3y=-21 substitution (please show work)
Answer:
Step-by-step explanation:
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
Use the Laws of logarithms to rewrite the expression
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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Minimize
z = 20x1 + 32x2 + 40x3,
subject to
3x1 + x2 + 6x3 ≥ 9
x1 + x2 ≥ 9
4x2 + x3 ≥ 12
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
solve for x1, x2, x3 and z
Answer:
Step-by-step explanation:
1. constraints with "\(\geq\)" we should subtract surplus variable S1, S2, S3 and add artificial variable A1, A2, A3
Hence Z = 20 x1 + 32x2 + 40x3 + 0S1 + 0S2 + 0S3 + MA1 + MA2 + MA3
subject to
\(3x_1 +x_2+6x_3-S_1+A_1=9\)
\(x_1+x_2-S_2+A_2=9\)
\(4x_2+x_3-S_3+A_3=12\)
and \(x_1,x_2,x_3,S_1,S_2,S_3,A_1,A_2,A_3\geq 0\)
PLEASE HELPP ILL GIVE BRINLEST
Answer:
+5 pts
Step-by-step explanation:
how many TVA students registered for both workshop? add answer+5 pts.
........:::::::::::: have a great day
Answer:
thanks so much! you too :)
Step-by-step explanation:
Answer:
same to you.
Explanation:
We are looking at rectangles where one side is of length 5.0 cm. Amongst those are some that can be cut into a square and a rectangle one of which has an area of 4,0 cm². How many such rectangles are there?
A: 1
B: 2
C: 3
D: 4
E: 5
Spoiler: According to the answer key it is D but I could only find 3 variations.
the answer is D : 4
How to calculate how many of these rectangles are there?According to the problem statement, one side of the rectangle is of length 5 cm. The other side can have any length greater than 4 cm (since the area of the rectangle should be greater than 4 cm^2).
Let's call this other side "x".
We know that the area of a rectangle is given by the formula A = l*w, where l is the length and w is the width.
Therefore, we can write the equation: 5*x = A, where A is the area of the rectangle.
We can also say that the area of the square and the rectangle is equal to 4 cm^2.
If we call the side of the square "y", then we can write the equation: y^2 = 4 cm^2.
Solving for y, we get: y = 2 cm.
Therefore, the length of the rectangle that can be cut into a square and a rectangle of area 4 cm^2 is 5 cm - y = 5 cm - 2 cm = 3 cm.
So, there are 4 possible rectangles that can be cut into a square and a rectangle of area 4 cm^2: (5,3), (3,5), (6,4), and (4,6).
So the answer is D : 4
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Which polynomial functions have only the roots 1
and 4? Check all that apply.
f(x) = (x - 1)(x – 4)
f(x) = 3(x + 1)(x + 4)
f(x) =(4x - 1)(x – 4)
f(x) = 3(x - 1)(x – 4)
f(x) = 6(x - 1)(x-4)
Answer:
Hey there!
Your answer would be f(x) = (x - 1)(x – 4), 3(x - 1)(x – 4), and 6(x - 1)(x-4) .
The polynomial roots can be found by finding the values of x that make the equation equal to 0. We know that when two items are multiplied, and one of them is zero, the result is 0. Thus, we have to make only one of the items equal to 0. To make the roots 1 and 4, we have to have (x-1) and (x-4).
4-4=0, x=4
1-1=0, x=1
Answer:
A,D,E
second answer is : f(x) = (x – 3)(x – 3)(x – 6)
Step-by-step explanation:
got it right on edg2020
6. Find the missing lengths of the sides.
Answer: D
30 60 90 trinagle rules
a=8
b=a sqaure root of 3 or 8square root of 3
c=2a or 2*8 or c=16
Step-by-step explanation:
Step-by-step explanation:
sin30°=8/c
1/2=8/c
8×2=c
16=c
tan30°=8/b
\( \frac{1}{ \sqrt{3} } = \frac{8}{b} \\ 8 \sqrt{3} = b\)
option. d
The rate in the portion formula is not always expressed with a percent symbol?
That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.
What is the proportional and ratio formula?How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
What does a ratio example look like?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.
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Write an equation for the line parallel to the line -7x - 7y= 7 through the point (-1,2)
Answer:
\(y=-x+1\)
Step-by-step explanation:
Slope-Intercept Formula:It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:
\(-7x-7y=7\)
add 7x to both sides:
\(-7y=7x+7\)
Divide both sides by -7
\(y=-x-1\)
Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:
\(y=-x+b\text{ where b }\ne -1\)
We're given the point (-1, 2) and we can use it to solve for that "b" value.
We plug in -1 as x and 2 as y
\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)
Now we just plug this into the general equation to get: \(y=-x+1\)
GIVING BRAINLIEST PLZ HELP !!
Answer:
D
Step-by-step explanation:
Because it is x - 7, we know it has a phase shift of + 7 to the right.
We also know that since +1 is in the equation, there is a vertical shift of + 1.
Hope this helps
On parallelogram ABC∧
mΔA=42 mΔB=___ mΔC___ mΔD=___
The measures of the remaining angles of the parallelogram are m ∠ B = 138°, m ∠ C = 42° and m ∠ D = 138°
How to determine the measure of missing angles in a parallelogram by geometric theorems
In this problem we know the measure of an angle and we should find the values of the three remaining angles. According to Euclidean geometry, the sum of internal angles in a parallelogram equals 360° and there exists the following property between each pair of angles:
m ∠ A = m ∠ Cm ∠ B = m ∠ Dm ∠ A + m ∠ B = m ∠ B + m ∠ C = m ∠ C + m ∠ D = m ∠ A + m ∠ D = 180°Then, the measures of the missing angles are, respectively:
m ∠ B = 180° - m ∠ A
m ∠ B = 180° - 42°
m ∠ B = 138°
m ∠ D = 138°
m ∠ C = 42°
Remark
The statement is poorly formatted, presents typing mistakes and image is missing, correct form is shown below:
On parallelogram ABCD, m ∠ A = 42, m ∠ B = ____, m ∠ C = _____, m ∠ D = _____
A representation of the parallelogram is shown in the image attached below.
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Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
Evaluate 9(4x – 15) if x = 3.
Answer:
-27
Step-by-step explanation:
9(4x – 15)
Substitute 3 for x
9((4)(3) - 15)
Multiply (4)(3) = 12
9 ( 12 - 15 )
Subtract 12 - 15 = -3
9(-3)
Multiply 9(-3) = -27
\(\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\( \: 9 \: (4x - 15)\)
Plugging in the value \(x = 3\) in the above expression, we have
➼ \( \: 9 \: (4 \times 3 - 15)\)
➼ \( \: 9 \: (12 - 15)\)
➼ \( \: 9 \: ( - 3)\)
➼ \( \: - 27\)
Note:-\(\sf\pink{PEMDAS\: rule.}\)
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.
How should you construct the first statement in a proof?When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.
It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.
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There are 3 cups of rice in a container.
After Joaquin uses some of the rice,
there is 1 1/8 cup of rice in the container.
Which model represents the rice that
Joaquin uses?
Answer: 1 7/8
Step-by-step explanation: 3- 1 /8=1 7/8
I bought a vase in a car
boot sale for $5. I sold
the vase at auction for
$12. What percent
increase is this?
Answer:
140% procent increase of your vase
BRAINLIEST!!!
YOU HAVE 5 MINUTES!!!!
Design an easy do-it-yourself compost bin that can be put (exnfe ffpao)
together at home. You can describe it, draw and label it, or both!
Include the following in your design:
• drawing or description of design
• materials used for the bin
• size of the bin
• substances used to fill it
• household items that can go in it
• how long it takes before it is ready
• how you use the compost
2)
Compost bin design: Add these household items to
your compost bin:
Compost is ready to use in this
much time:
Use your compost this way:
Designing an easy do-it-yourself compost bin:
Drawing and Description:
The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.
The bin can be placed directly on the ground or on a solid surface, depending on personal preference.
Materials Used:
Wood or wire mesh (depending on preference)
Nails or screws to assemble the structure
Size of the Bin:
The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.
Substances Used to Fill It:
To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.
Household Items That Can Go in It:
You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).
Time for Compost to Be Ready:
The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.
Using the Compost:
Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.
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HELP PLS
The table shows the relationship between t, the time in hours spent on
a computer repair, and F(t), the total cost in dollars of the repair.
Time spent
(hours)
Total Cost
(dolla
105
3
145
4
185
5
225
Which function describes this relationship?
1 of 8 QUESTIONS
O F(t) = 25t+40
OF(t) = 40[t +25)
O Fit) = 25|t+40)
O Fit) = 40t +25
SUBMIT
osa
Consider two securities, a and b. security a and b have a correlation coefficient of 0.65. security a has standard deviation of 12, and security b has standard deviation of 25. calculate the covariance between these two securities.
a. 300
b. 461.54
c. 261.54
d. 195
e. 200
The correct answer is option D. The covariance between securities a and b is 195.
To calculate the covariance between securities a and b, we can use the formula:
covariance = correlation coefficient * standard deviation of security a * standard deviation of security b
Plugging in the given values, we get:
covariance = 0.65 * 12 * 25 = 195
Therefore, the answer is (d) 195.
The covariance between two securities measures the extent to which the two securities tend to move together. A positive covariance indicates that the securities tend to move in the same direction, while a negative covariance indicates that the securities tend to move in opposite directions.
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Find the indefinite integral
The indefinite integral will be ∫x⁵e^(x⁶ - 4) dx = (1/6)e^(x⁶ - 4) + C
How do we find the indefinite integral?Lets say u = x⁶ - 4 and du/dx = 6x⁵
it then becomes ∫x⁵e^(x⁶ - 4) dx = ∫e^(x⁶ - 4 * 1/6)du
e^(x⁶ - 4) = ∫(1/6)e^(x⁶ - 4)du = (1/6) ∫e^(x⁶ - 4) du = (1/6)e^(x⁶ - 4) + C
= ∫x⁵e^(x⁶ - 4) dx = (1/6)e^(x⁶ - 4) + C
An indefinite integral that when you differentiate it will give you the main or first function.
The above answer is based on the question below as seen in the photo;
Find the indefinite integral (Use C for the constant of integration)
∫x⁵e^(x⁶ - 4) dx
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which number line shows the solution to x + 8 > 15
7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The given inequality is:
x + 8 > 15
Subtracting 8 on both sides of the equation:
x + 8 - 8 > 15 - 8
x > 7
Here, 7 is not included and hence it is depicted using an open dot.
Hence, option B is the correct answer.
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find the domain and range of each f(x)^ * = 1 + x ^ 2
The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).
How to explain the domainIn determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.
Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.
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find the value of 2α+1 and 2β+1
The polynomial whose zeroes are 2α+1 and 2β+1 is determined as x² - 4x - 5 = 0.
What are the zeros of the quadratic polynomial?The zeros of the quadratic polynomial is calculated by applying the following formula as follows;
The given polynomial function;
f(x) = x² - x - 2
The zeros of the quadratic polynomial is calculated as;
let x = - 1
f(-1) = (-1)² - (-1) - 2
f(-1) = 1 + 1 - 2
f(-1) = 0
So α = - 1
Let x = 2;
f(2) = (2²) - 2 - 2
f(2) = 4 - 4
f(2) = 0
so β = 2
The value of 2α + 1 is calculated as;
2α + 1 = 2(-1) + 1 = -1
The value of 2β + 1 is calculated as;
2β + 1 = 2 (2) + 1 = 5
x = -1 or x = 5
x + 1 = 0 or x - 5 = 0
(x + 1)(x - 5) = 0
x² - 5x + x - 5 = 0
x² - 4x - 5 = 0
Thus, the polynomial whose zeroes are 2α+1 and 2β+1 is determined as x² - 4x - 5 = 0.
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Manny buys a new grill that costs $375. The grill is discounted 22% and sales tax is 6.5%. How much does Manny pay for the grill? ( NEED HELP ASAP!!)
Answer:
$310.05
Step-by-step explanation:
Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.
Original price: $375
Discount of 22%
22% of $375 = 0.22 × $375 = $82.50
Price after discount (but before tax): $375 - $82.50 = $292.50
Sales tax of 6%
6% of $292.50 = 0.06 × $292.50 = $17.55
Price after discount and tax: $292.50 + $17.55 = $310.05
Method 2: Add and subtract the discount percent and the tax percent first, then multiply.
Original price: $375
The discount is 22%.
The original price is 100%.
Subtract 22% from 100%: 100% - 22% = 78%
The discounted price is 78% of the original price.
Once you have the discounted price, tax is 6%.
The new discounted price is 100%. Add 6% to get 106%.
The price with tax is 106% of the discounted price.
106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05
Answer: $310.05
7. Kinsley baked 94 cookies in 2.75 hours. Kason baked 95 cookies in
hours. What was their total rate of cookies baked per hour?
A) 0.42
B) 42
C) 4.2
D) 420
The answer
Answer:
B)
Step-by-step explanation:
it's not A) C) or D)
C) is way too small, Kinsley alone made about 34 per hour, A) is also too small
D) is too big
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?
A. 0.1
B. 0.3
C. 0.4
D. 0.2
Answer:
D 0.2
Step-by-step explanation:
YES THIS IS RIGHT
The required, mean of the sample proportions would approach is 0.2.
What is a normal distribution?Normal distributions can be altered to standard normal distributions by the formula:
Z = (X - μ)/σ
As the size of each sample increases, the mean of the sample proportions would approach the population parameter, which in this case is 0.2. This is known as the central limit theorem.
Therefore, the answer is D. 0.2.
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