find two numbers that multiply to 36 and add to -20
Answer:
-18+2 hope it will help u
1. Your company needs to lease office space in two buildings. The annual cost is $24.75 per square foot in the first building that is near downtown and $17 per square foot in the second building that is located just outside of town. The company has $95,000 budgeted for rent. Write an equation that models the possible amounts of space rented in the buildings.
a) Identify your variables
b) Write your equation in Standard form
c) Solve your equation
d) Write your answer in sentence form.
2. How many square feet of space can be rented in the first building if 2650 square feet are rented in the second?
I need help asap! please
Solve the initial value problem: \[ y^{\prime}(x)=\sqrt{-2 y(x)+11}, \quad y(-2)=1 \] \[ y(x)= \]
The solution to the given initial value problem is \( y(x) = \frac{11}{4} + \frac{3}{4} \sin\left(\frac{x+2}{2}\right) \).
To solve the initial value problem, we can separate variables and integrate.
The differential equation can be rewritten as \( \frac{dy}{\sqrt{-2y+11}} = dx \). Integrating both sides gives us \( 2\sqrt{-2y+11} = x + C \), where \( C \) is the constant of integration.
Substituting the initial condition \( y(-2) = 1 \) gives us \( C = 3 \). Solving for \( y \), we have \( \sqrt{-2y+11} = \frac{x+3}{2} \).
Squaring both sides and simplifying yields \( y = \frac{11}{4} + \frac{3}{4} \sin\left(\frac{x+2}{2}\right) \).
Thus, the solution to the initial value problem is \( y(x) = \frac{11}{4} + \frac{3}{4} \sin\left(\frac{x+2}{2}\right) \).
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through: (-1,0), parallel to y = 4x
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.
y=4x+4
Step-by-step explanation:
Determine the value of x, using the following transversal. The value of x is
Answer:
x = -10Step-by-step explanation:
x + 75 + x + 125 = 180 as supplementary (same side interior angles)2x + 200 = 1802x = -20x = -10Answer:
x + 75 = x = 15
x + 125 = x = 55
Step-by-step explanation:
to find x of a 90 degree angle and a 180 degree angle you take what you have and count up until you reach your number of 90 or 180 to get the answer of that angle
to tell what a 90 degree angle look for a right triangle or any angle below like an acute angle
to find a 180 degree angle look for an obtuse angle or the angle that creates a straight line
James is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures. He needs a total of at least 1,000 signatures before he can submit the petition. James would like to collect the same number of signatures each week.
Answer:
80 per week
Step-by-step explanation:
1000-520= 480
480/6=80
10 A town is planning a new library. The architect uses a computer program to
design the new children's section shown in the diagram.
10
+
- 10
-8
Which expression can be used to find the area of the children's section?
Choose all that apply.
A (5 X 4) + (6 X 10)
B
(11 X 4) + (6 X 6)
C (11 X 10) - (6 X 6)
D(5 X 4) + (6 X 4) + (6 X 6)
E (11 X 4) + (6 X 11 - 15 X 6)
Step-by-step explanation:
wala bang tagalog na tanong
I need help with this
Answer: 1. Read for a general impression
2. Reread and ask questions
3. Review your notes
Step-by-step explanation: To complete a literary analysis, it is generally recommended to follow these three steps in order:
1. Read for a general impression: This involves reading the literary work at least once to get a general understanding of the plot, characters, themes, and style.
2. Reread and ask questions: This step involves a more careful and critical reading of the text. You should reread the text, take notes, and ask questions about the author's choices, the characters' motivations, the themes, and other aspects of the work that you find interesting.
3. Review your notes: This step involves reviewing the notes you've taken during the second step and organizing them into an outline or other format to help you write your analysis. This step will also help you identify the most important points you want to make in your analysis.
Answer:
review your notes to ensure good analysis
can someone please help me .. will mark brainliest !
Answer:
a
Step-by-step explanation:
i don't really know just Draco told me i should answer this
For which of the following is x = 5 NOT a solution
(a) 12 + 3x = -15
(b) 2x − 6x = -20
(c) 18 = 13 + x
(d) -4x = x − 25
Answer:
A) x= -9
B) x=5
C) x=5
D) x=5
Step-by-step explanation:
Can someone help me with this
rude!we dont us such words here change it please
it is known that a certain kind of algae in the dead sea can double in population every 4 days. suppose that the population of algae grows exponentially, beginning now with a population of 3,000,000. (a) how long it will take for the population to quadruple in size? days (b) how long it will take for the population to triple in size? days
Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in 6.34 days.
The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:
2 x 4 days = 8 days.
In general, we can use the growth formula:
P(t) = Po . 2^(t/Td)
Where:
P(t) = population at time t
Po = initial population
Td = doubling time
Parameters given:
Td = 4 days
P(t) = 3Po
Plug those parameters into the formula:
3 Po = Po . 2^(t/4)
3 = 2^(t/4)
log 3 = (t/4) log 2
t = 4 . log 3 / log 2 = 6.34 days.
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A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5
Answer:
Surface Area =237.5
Answer:237.5
Step-by-step explanation:
In which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
Find the volume of a pyramid with a square base, where the perimeter of the base is 4.7\text{ cm}4.7 cm and the height of the pyramid is 4.7\text{ cm}4.7 cm. round your answer to the nearest tenth of a cubic centimeter
the answer is 2.2cm³
The volume of a pyramid with a square base, where the perimeter of the base is 4.7 cm and the height of the pyramid is 4.7 cm, is 2.2 cm³.
The volume of a pyramid is calculated by dividing the area of the base by three and multiplying by the height. In this case, the area of the base is 22.09 square centimeters and the height is 4.7 cm. Therefore, the volume is 2.2 cubic centimeters.
The area of the base can be calculated by multiplying the length of one side of the square by itself. In this case, the length of one side of the square is 4.7 cm. Therefore, the area of the base is 4.7 * 4.7 = 22.09 square centimeters.
The height of the pyramid is the distance from the apex of the pyramid to the center of the base. In this case, the height is 4.7 cm.
By plugging these values into the formula for the volume of a pyramid, we get V = 1/3 * 22.09 * 4.7 = 2.2 cubic centimeters.
The answer is rounded to the nearest tenth of a cubic centimeter, which is 2.2 cubic centimeters.
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if z=(6x+y)ex,x=ln(u),y=v, find ∂u∂z and ∂v∂z The variables are restricted to domarns on which the functions are defined ∂u∂z=∂v∂z=
To find the partial derivatives ∂u/∂z and ∂v/∂z, we can use the chain rule. Given that z = (6x + y)e^x, where x = ln(u) and y = v, we differentiate z with respect to u and v separately to find the partial derivatives.
To find ∂u/∂z, we need to find the derivative of u with respect to z. We can use the chain rule to do this. Since x = ln(u), we have u = \(e^x\). Taking the derivative of both sides with respect to z, we have:
du/dz = (du/dx)(dx/dz).
From the given equation x = ln(u), we can differentiate both sides with respect to z to get:
(1/u)(du/dz) = (1/x)(dx/dz).
Simplifying further, we have:
(du/dz) = (u/x)(dx/dz).
Substituting x = ln(u), we get:
(du/dz) = (u/ln(u))(dx/dz).
Similarly, to find ∂v/∂z, we differentiate v with respect to z. Since y = v, we have:
dv/dz = (dv/dy)(dy/dz).
Since dy/dz is simply 1, we have:
dv/dz = dv/dy.
Therefore, ∂u/∂z = (u/ln(u))(dx/dz) and ∂v/∂z = dv/dy. The exact values of these derivatives depend on the specific values of u, x, and v, which are not provided in the given question
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Your teacher recently found an old Nintendo in a thrift store. Use the formula to predict the value of the Nintendo in 2020. (Remember, x is the years after 1986, and y is the
value, in $.) Do you think this is a realistic prediction of the value of that Nintendo?
Formula- f(x) = 3x^2 - 40x + 180
The value of the Nintendo after 35 years is $2455
Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.
Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.
Substituting x = 35 into the equation, we have
f(x) = 3x² - 40x + 180
f(x) = 3(35)² - 40(35) + 180
f(x) = 3(1225) - 40(35) + 180
f(x) = 3675 - 1400 + 180
f(x) = 2275 + 180
f(x) = 2455
So, the value of the Nintendo after 35 years is $2455
Do you think this is a realistic prediction of the value of that Nintendo?
This is not a realistic prediction for the value of the Nintendo, because, it is too high.
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if a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 17 feet, what angle does the ramp make with the ground? round to 2 decimal places.
The angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.
What is trigonometry?
The study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry". Therefore, employing trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.
Given, the length of the ramp = h = 17 feet
Height at which ramp is placed on truck = p = 4 feet
Let the angle that the ramp makes with the ground = ∅
Taking the length and height of ramp as basis, on assuming a right triangle with the length as hypotenuse and the height as perpendicular, we have:
sin ∅ = Perpendicular/Hypotenuse = h / p = 17/4 = 4.25
⇒ ∅ = sin⁻¹ (4.25) ⇒ ∅ = 10.48°
Thus, the angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.
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what is the volume of 19.6 g of a liquid that has a density of 0.967 g/ml? A.14,7 ml B.20,3 ml C.16,9 ml
Volume of 19.6 g of a liquid that has a density of 0.967 g/ml is 20.3
Volume and density are connected by a particular substance's mass. The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).
Density decreases when volume increases without accompanying increases in mass.
here,
Density = mass/volume
or, Volume = mass/density
or, volume = 1.96g/0.967 g/ml
or, volume = 20.268 ml (nearly equal to 20.3)
so, Volume of 19.6 g of a liquid that has a density of 0.967 g/ml is 20.3
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What is true when the plane is 100 meters away from takeoff? Check all that apply. The given information is the SSS case. The given information is the SAS case. The given information is the SSA case. Evelyn is approximately 104 meters from the plane. The angle of elevation of the plane is 12°.
Answer:
The answer is the given information is the SAS case, Evelyn is approximately 104 meters from the plane, and the angle of elevation of the plane is 12°.
Step-by-step explanation:
Edge
Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.
To find the form of the case we need to know about the triangle congruence theorem.
What is triangle congruence theorem?Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent. Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.Given information-
Evelyn is 104 meters from the take off.
The angle of elevation of the plane is 12°.
The plane is 100 meters away from the takeoff point.
The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).
Thus the two triangle formed which are congruent.
As above discussed the case of SAS exists for the triangle congruence theorem.
Hence the given information is the SAS case.
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Answer all the questions with working out
How do you identify proportional relationships?
You asked "How do you identify proportional relationships?"
It would be by determining whether two quantities are in a proportional relationship.
please solve number 1
(and explain)
Answer:
The slope is 3/2, and the y-intercept (b) is -1
Step-by-step explanation:
The slope-intercept form is y=mx+b. m is the slope and b is the y-intercept.
A bicyclist goes 45.5 miles in 3.5 hours. What is her speed?
Answer:
13 mph
Step-by-step explanation:
45.5/3.5 = 13
Answer:
13 mph
Step-by-step explanation:
divide 45.5 by 3.5 to get 13 mph
Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121
The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50
To find the change in profit (ΔP) when the number of units (Δx) increases by 5.
we need to evaluate the marginal profit function and multiply it by Δx.
The marginal profit function is given by dP/dx = 12.1(60 - 3x).
We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.
dP/dx = 12.1(60 - 3(121))
= 12.1(60 - 363)
= 12.1(-303)
= -3666.3
Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.
ΔP = dP/dx×Δx
= -3666.3 × 5
= -18331.5
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Helppp!!!!
the branch manager of a clothing store is analyzing the average total bill of sale for his location. the national manager has communicated that the overall
population mean is $45.90 with a standard deviation of $10.34. the branch manager has a sample of 400 total bills of sale for his location. by the central limit
theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?
a) $45.38 and $46.42
b) $45.85 and $45.95
c) $44.35 and $47.45
d) $44.87 and $46.93
$45.38 and $46.42 is the interval can the branch manager be 95% certain that the sample mean will fall within
Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.
What does the Central Limit Theorem state?
It states that the sampling distribution of sample means of size n has standard deviation .
By the Empirical Rule, 95% of the sample means fall within 2 standard errors of the mean.
In this problem, we have that the standard deviation and the sample size are given as follows:
Hence the standard error is given by:
\(s = \frac{10.34}{\sqrt{400}} = 0.517.
Two standard errors is represented by:
2 x 0.517 = $1.034.
Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.
$45.38 and $46.42 is the interval can the branch manager be 95% certain that the sample mean will fall within
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four cards are dealt from a standard deck with 52 cards (w/o replacement), one at a time. what is the chance that a heart turns up on the fourth card, but not before? group of answer choices
The probability of getting a heart on the fourth card but not before that is 0.2278
The probability of getting a heart on the fourth card can be calculated by multiplying the probability of not getting a heart in the first three cards by the probability of getting a heart on the fourth card.
The probability of not getting a heart in the first three cards can be calculated as follows:
(39/52) * (38/51) * (37/50) = 0.862
where 39/52 is the probability of not getting a heart on the first card, 38/51 is the probability of not getting a heart on the second card (given that no heart was drawn in the first card), and 37/50 is the probability of not getting a heart on the third card (given that no heart was drawn in the first two cards).
The probability of getting a heart on the fourth card can be calculated as follows:
13/49 = 0.265
where 13/49 is the probability of getting a heart on the fourth card (given that no heart was drawn in the first three cards).
So, the probability of getting a heart on the fourth card, but not before, can be calculated as:
0.862 * 0.265 = 0.2278
So, the chance of getting a heart on the fourth card, but not before, is approximately 22.78%.
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a transition matrix is called doubly stochastic if both rows and columns sum to 1. show that all finite-dimensional doubly stochastic matrices have a uniform stationary distribution.
Transition matrix is called a doubly stochastic matrix (if sum of each rows and columns is 1 ).
We can see that the distribution of doubly stochastic matrix for all finite dimensional has Uniform stationary distribution.
Doubly Stochastic Matrix
A transition random matrix P is defined as a dual random matrix if the sum of the rows and columns is one.
Therefore, for each column j of the doubly random matrix, let ∑ ipᵢⱼ = 1. Suppose the distribution π on S also has π₁ = π if the Markov chain starts with the initial distribution π₀ = π. That is, if the distribution at time 0 is π, the distribution of π remains 1, and this π is said to be stationary.
Example: A uniform distribution [[π(i) = 1/N for all i]] is stationary if the N × N stochastic transition matrix P is symmetric. More generally, the uniform distribution is stationary if the matrix P is doubly stochastic, i.e. the columns of P sum to 1 (we already know that the rows of P sum to all 1). are available). It is easy to see that when πn approaches a limiting distribution as n → ∞, this limiting distribution must be stationary. To see this, assuming lim n→∞ πn = π' , and n → ∞ in the equation πₙ₊₁ = πₙP, we get π = π'P. This shows that π' is stationary. So , the arguments given pass clearly and simply when the state space is finite.Hence, the required results is achieved .
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Each side of the pentagon building is washington D.C. is 900 feet long. what is the perimeter
Answer: It is 4500ft long in perimeter
Step-by-step explanation:
A pentagon has 5 sides so if you do 900+900+900+900+900 or 900 * 5 that gives you an answer.