Step-by-step explanation:
please mark me as brainlest
plz help asap im being timed and i only have 20 minutes left
Answer:
first question is B
second F
third C
fourth pretty sure its C
last C
Step-by-step explanation:
1Convert the following equation to slope-intercept formy-3=\frac{1}{8}\left(x+8\right)y−3=8(x+8)
Answer:
y = 8x + 67
Step-by-step explanation:
The equation of a line in slop- intercept form is
y = mx + c
Given
y - 3 = 8(x + 8) ← distribute parenthesis
y - 3 = 8x + 64 ( add 3 to both sides )
y = 8x + 67 ← in slope- intercept form
pls help, im horrible at coordinates
coordinates can be challenging, but with practice and a clear explanation, it can become easier.
Coordinates are a set of numbers that indicate a specific location on a grid or map. There are two types of coordinates: latitude and longitude. Latitude measures north and south of the equator, while longitude measures east and west of the prime meridian. Each degree of latitude or longitude is divided into minutes and seconds, creating a more precise location.
To find a specific location using coordinates, you need to identify the latitude and longitude values. These values are typically written as two numbers separated by a comma. For example, the coordinates for New York City are 40.7128° N, 74.0060° W.
With some practice and understanding of how coordinates work, you can become better at using them. Remember to pay attention to the latitude and longitude values and practice identifying locations on a map or grid.
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13.47 rounded to a value that can divide into 3 easily
try 15? kwqjwkjjsjshejqjdwjejdjhwksjdwkjsekjrskjfkskdjeekjee
help.. again please tysm :)
Answer:
No Solutions
Step-by-step explanation:
The two points are (3,2) and (-2,-2)
Slope is y change over x change.
So... -2-2 over -2-3 equals to -3-(-2) over -2-(-2).
That is -3+2 over -2+2 which is -2 over 0.
You can't divide by zero so the slope is "NoSolutions"
Hope this helps :)
t-models, part II Using the t tables, software, or a calculator, estimate
a) the critical value of t for a 95% confidence interval with df = 7.
b) the critical value of t for a 99% confidence interval with df = 102.
The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62
In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.
a)
On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.
b)
The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.
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Line a is parallel to line b, m<2 = 4x+44 , And m<6=6x+36. Find the value of x
Answer:
x = 4
Step-by-step explanation:
<2 and <6 are equal because of the corresponding angles thm so:
4x + 44 = 6x + 36
4x - 6x = 36 - 44
-2x = -8
x = 4
When two angles in a plane share a vertex and a side but no common interior points, they are called.................. angles?
When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles
What is Adjacent angles?The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.
Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
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solve the following 4x+1=2x-1
Answer:
x=-1
Step-by-step explanation:
A cross-sectional data base of 10,000 persons who purchased Macintosh apples in 1989 was used to estimate the sample regression function:
q^i=150−2.5pi,
where q is the quantity of Macintosh apples demanded in 1989 , and p is the price per dozen of these apples. If the average price per dozen paid by these persons was $8 :
(a) What is the predicted quantity demanded for 1989?
(b) Using the answer from (a), what is the estimated price elasticity of demand for Macintosh apples?
The predicted quantity demanded for 1989 is 130. based on the coefficient of -2.5, (B) Price Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)
The predicted quantity demanded for 1989 is 130. based on the coefficient of -2.5, we can conclude that the estimated price elasticity of demand for Macintosh apples is -2.5.
The sample regression function given is q^i = 150 - 2.5pi, where q represents the quantity of Macintosh apples demanded in 1989 and p represents the price per dozen of these apples. We are told that the average price per dozen paid by these individuals was $8.
(a) To find the predicted quantity demanded for 1989, we can substitute the given average price into the regression function. Thus, when p = 8:
q^i = 150 - 2.5 * 8
= 150 - 20
= 130
Therefore, the predicted quantity demanded for 1989 is 130.
(b) To calculate the estimated price elasticity of demand for Macintosh apples, we need to use the formula:
Price Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)
Since we only have one price and quantity value, we can't directly calculate the percentage changes. However, we can estimate the price elasticity by considering the coefficient of pi in the regression function. In this case, the coefficient is -2.5.
The magnitude of the coefficient gives us an idea of how sensitive the quantity demanded is to changes in price. In this case, the coefficient of -2.5 suggests that for every 1-unit increase in price, the quantity demanded decreases by 2.5 units. This implies that the demand for Macintosh apples is relatively elastic, meaning that a small change in price results in a relatively large change in quantity demanded.
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someone pls help THIS IS A GRADE?!?!?!?
Answer:
The answer is C
Step-by-step explanation:
Area of a parallelogram= bh
b- base
h- height
y in your problem would be the base and h would be the height
Derrick is able to type 90 words in 18 minutes. How many words is he able to type in 9 minutes
Answer:
45 words in 9 minutes
Step-by-step explanation:
90/18= 5 words per minutes
5*9= 45
The school that Imani goes to is selling tickets to a spring musical. On the first day of ticket sales, the school sold 10
senior citizen tickets and 7 student tickets for a total of $220. The school took in $165 on the second day by selling 5
senior citizen tickets and 9 student tickets. What is the price of each of one senior citizen ticket and one student
ticket?
Answer:
i think 2
Step-by-step explanation:
Answer:
One senior tickets costs $15, and one student ticket costs $10.
Step-by-step explanation:
Let 'x' represent the price of a senior citizen ticket and let 'y' represent the price of a student ticket.
10 senior tickets and 7 student tickets amounts to $220. Writing this as an equation, we get:
10x+7y=220
5 senior tickets and 9 student tickets amounts to $165. Writing this as an equation, we get:
5x+9y=165
Now, we can use simultaneous equations to find the values of 'x' and y':
10x+7y=220
5x+9y=165
>> Multiply the second equation by -2:
10x+7y=220
-10x-18y=-330
>>> Add/combine equations
-11y=-110
y=10, so student tickets cost $10 each
Sub value for y into one of the equations to fund x:
10x+7y=220
10x+7(10)=220
10x+70=220
10x=150
x=15, so senior tickets cost $15 each
A. The graph shows four points on the line and the triangles resulting from sketching on the rise and run from one point to the next. Viewing the graph or R-value as a transversal to the rise and run segments, are the two pairs of corresponding angles along the transversal congruent? Explain.
B. What is the relationship between the two resulting triangles? Explain your answer.
C. Use the relationship from Part B to state the relationship between corresponding sides of the resulting triangles.
D. Use the properties of similar triangles to explain why the slope, or rise-to-run ratio, is constant between any two points on the line.
E. Use any two points to find the unit rate for this proportional relationship. Show your work.
Answer:
A. Yes
B. The triangles are similar
C. The corresponding sides are proportional
D. The slope of ΔABC = tanθ₁ = tanθ₂ = The slope pf ΔDEF, therefore, the slope of any two points on the line are congruent by similar triangles
E. The rate of proportionality = 2
Step-by-step explanation:
A. From the given graph, given that the angles are formed between the transversal and lines parallel to the R-value axis and the transversal and lines parallel to the thickness axis, the angle formed by the transversal and each parallel lines are corresponding angles and are therefore congruent
The tan of one of the angles on each triangle are
On the uppermost triangle, tanθ₁ = (9.42 - 3.14)/(3 - 1) = 3.14
On the other triangle, tanθ₂ =(25.12 - 12.56)/(8 - 4) = 3.14
tanθ₁ = tanθ₂
∴ θ₁ = θ₂
ΔABC and ΔDEF are right triangles, therefore, all the angles of ΔABC and ΔDEF are congruent
B. Given that the interior angles of the triangles formed by the line the graph are congruent, the triangles are similar by AA similarity postulate
C. Given that the triangles are similar, the length of the corresponding sides of the triangles are proportional
D. Given that the slope is the tangent of the angle between the line of the graph and the Thickness axis, and that the angle is the same for both triangles, (∠θ₁ and ∠θ₂) the slope or the rise-to-run ratio is constant for the two triangles and also for any two points on the line
E. The Unit of proportionality is found using any two points as follows;
Using points used to show the proportional relationship on triangle ΔABC are (8, 25.12) and (4, 12.56) and on triangle ΔDEF, the two points used to show proportional relationship are (3, 9.42), and (1, 3.14)
The ratio of the corresponding sides on ΔABC and ΔDEF are
\(\overline {AC}\)/\(\overline {DF}\) = (25.12 - 12.56)/(9.42 - 3.14) = 2
\(\overline {BC}\)/\(\overline {EF}\) = (8 - 4)/(3 - 1) = 2
Therefore, the unit rate of proportionality which is the scale factor = 2.
Find the mean of the following numbers:
12
1
10
9
3
4
9
7
9
Answer:
7.11
Step-by-step explanation:
You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.
1. Identify the reactants and the products in the following equation. (1 point)
CaO + CO2 → CaCO3
2. Show the molecular formula and electron structure of the simplest compound that forms with only carbon and hydrogen atoms. (1 point)
3. For each equation, state the reaction type and then balance the equation. (2 points)
a. ___Na3PO4 + ___HCl → ___H3PO4 + ___NaCl
b. ___KClO3 → ___KCl + ___O2
4. You have knowledge of the outermost electron states of the atoms, trends in the periodic table, and the patterns of chemical properties. Use that knowledge to predict the products of each of the following equations. Then explain how you made your predictions. Be sure to balance the equations. (4 points)
a. ___NaBr + ___Ca → _______ + _______
b. ___Mg + ___O2 → _______
5. Identify the products of this single-replacement reaction between sulfuric acid and aluminum. Then balance the equation. (2 points)
___H2SO4 + ___Al → ___ + ___
6. (6 points)
a. Write a balanced equation for the model of a chemical reaction shown below. (The white balls represent hydrogen atoms, the black balls represent carbon atoms, and the gray balls represent oxygen atoms.) Then complete the table with information about the atoms and molecules represented in the model. Show your work. (5 points)
chemical equation
Molecule name Methane Oxygen Water Carbon dioxide
Molecular formula
H2O
Elements in molecule
C, O
Molecular mass of molecule 16.05 g/mol
Total mass in reaction
64.00 g
Total mass of all reactant molecules
Total number of reactant atoms
Total mass of product molecules
Total number of product atoms
b. How does your second table support the claim that the number of atoms — and therefore mass — is conserved during a chemical reaction? (1 point)
7. (6 points)
a. Calculate the molar mass of sucrose: C12H22O11. Show your work. (2 points)
b. Calculate the molar mass of glucose, one of the products of photosynthesis: C6H12O6. Show your work. (2 points)
c. How many molecules are in 1 mole of sucrose? (1 point)
d. How many atoms are in 1 mole of sucrose? (1 point)
8. Baking soda (NaHCO3) and vinegar (HC2H3O2) react to form sodium acetate, water, and carbon dioxide. If 42.00 g of baking soda react, how many moles of carbon dioxide will form? Show your work. (3 points)
NaHCO3 + HC2H3O2 → NaC2H3O2 + H2O + CO2
The series of questions is based on the entire concept of chemical equations. This is shown by balanced reaction equations.
What is a reaction equation?A reaction equation shows the reactants and the products in a reaction. We shall now answer the questions individually;
1) The reactants in this equation are CaO and CO2. The product is CaCO3.
2) The simplest molecule that is formed between carbon and hydrogen is CH4 with the structure shown in the image attached.
3) The balanced equations are;
a) Na3PO4 + 3HCl -----> H3PO4 + 3NaCl
b) 2KClO3 → 2KCl + 3O2
4)
a. 2NaBr + Ca ----->CaBr2 + 2Na
b. 2Mg + O2 ------->2MgO
5) 3H2SO4 + 2Al -------> Al2(SO4)3 + 3H2
6) CH4 + 202 ---->CO2 + 2H2O
7)
a. molar mass of sucrose = 12(12) + 22(1) + 11(16) = 144 + 22 + 176 = 342 g/mol
b. molar mass of glucose = 6(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180 g/mol
c. There are 6 * 10^23 molecules 1 mole of sucrose
d. There are 6 * 10^23 atoms 1 mole of sucrose
8) The equation of the reaction is; NaHCO3 + HC2H3O2 → NaC2H3O2 + H2O + CO2
Number of moles of baking soda= 42.00 g/84 g/mol = 0.5 moles
Since the reaction is 1:1, 0.5 moles of CO2 is formed.
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Is this an absolute value graph?
Is it a reflection of its parent graph?
This graph shifted _ by _ units.
Answer:
This graph shifted UP by 3 units
Step-by-step explanation:
The parent function of the absolute value is:
f(x) = | x |
If f(x) is reflected across the y-axis, it would map to itself. If it was reflected across the x-axis, it would map to a negative-valued function for all x.
The graph shown is not a reflection, but it's a translation. Note the parent function passes through the origin, thus the graph is a translation of 3 units up.
This graph shifted UP by 3 units
Five boxs of crackers cost $9 st this rate how much do 20 boxes cost
$900
..why do I need 20 letters-
Answer:
20 boxes of crackers would cost 36 dollars
Step-by-step explanation:
Since 5 boxes is 9 dollars
And there are 20 boxes
You divide 20 boxes by 5 and you should get 4
Then with the 4 you multiply that with $9
36 dollars
Hope this helped you!
which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
The correct symbol in between numbers is,
⇒ 4/5 > 1/2
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The numbers are,
⇒ 4/5 and 1/2
Now, We can make denominator equal as;
LCM of 5, 2 = 10
Hence, We get;
⇒ 4/5
⇒ 8/10
⇒ 1/2
⇒ 5/10
Thus, We get;
⇒ 4/5 > 1/2
Therefore, The correct symbol in between numbers is,
⇒ 4/5 > 1/2
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Giving Brainliest if answer is correct
if x varies directly as y and x=3 when y=15 find the value of x when y=25
Answer:
Step-by-step explanation:
x=5
Answer:
x is 5.
Step-by-step explanation:
X varies directly with y, so we can use the equation x = yk (with k standing for the constant of variation) to find what the constant is. Substitute 3 for x and 15 for y
3 = 15k
Now divide both sides by 15.
3/15 = k
3/15 simplifies to 1/5.
1/5 = k
Now that we know the constant, then what we need to do is find 1/5 of 25 to get x.
1/5(25) = x
Multiply 1/5 by 25 to get 5.
5 = x
The problem is solved.
X will be 5 in this scenario.
Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. T = 49 b. T = plus-or-minus 49 c. T = 7 d. T = plus-or-minus 7.
The equation t^2 - 49 = 0 can be solved as t = ±7. The correct answer is option d. T = ±7. Both positive and negative 7 satisfy the equation.
To solve the equation t^2 - 49 = 0, we first rewrite it in the form a x^2 = c, which is (t^2) = 49.
Next, we take the square root of both sides to isolate t:
√(t^2) = ±√(49)
The square root of 49 is 7, so we have:
t = ±7
Therefore, the correct answers are ±7, which corresponds to option d. T = ±7.
In this equation, t can be either positive or negative 7 because squaring a negative number and squaring its positive counterpart will yield the same result. Hence, the solution is t = ±7.
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To factor 9x^2- 4, you can first rewrite the expression as:
O A. (3x-2)^2
O B. (x)^2-(2)^2
C. (3x)^2-(2)^2
D. None of the above
Answer:
D
\((3x - 2)(3x + 2) \\ \)
A fair coin is tossed 5 times. Calculate the probability that (a) five heads are obtained (b) four heads are obtained (c) one head is obtained A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never happens (c) an odd number of 6s is thrown.
To calculate the probabilities, we need to use the concept of binomial probability.
For a fair coin being tossed 5 times:
(a) Probability of getting five heads:
The probability of getting a head in a single toss is 1/2.
Since each toss is independent, we multiply the probabilities together.
P(Head) = 1/2
P(Tails) = 1/2
P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125
So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.
(b) Probability of getting four heads:
There are five possible positions for the four heads.
P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625
So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.
(c) Probability of getting one head:
There are five possible positions for the one head.
P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625
So, the probability of obtaining one head is approximately 0.15625 or 15.625%.
For a fair die being thrown eight times:
(a) Probability of a 6 occurring six times:
The probability of rolling a 6 on a fair die is 1/6.
Since each roll is independent, we multiply the probabilities together.
P(6) = 1/6
P(Not 6) = 1 - P(6) = 5/6
P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433
So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.
(b) Probability of a 6 never happening:
P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256
So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.
(c) Probability of an odd number of 6s:
To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
Calculate each term and sum them up to find the final probability.
After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.
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Building on case project 13-1, you want to be able to check the status of the blinds and make them controllable using your mobile phone through your home network. you also want to have a series of indicators on the device that indicate the following status conditions: 1. power is applied to the device. 2. the device detects someone in the room. 3. direct sunlight is detected. 4. it is dark. what hardware changes do you need to make to this project
To make the blinds controllable using a mobile phone and to incorporate status indicators, the hardware changes required for this project include adding a microcontroller .
Wireless connectivity capabilities, installing sensors for detecting presence, sunlight, and darkness, and integrating indicator LEDs.To enable control of the blinds through a mobile phone, a microcontroller with wireless communication capabilities such as Wi-Fi or Bluetooth would need to be added to the system. This microcontroller can receive commands from the mobile phone application and send corresponding signals to control the blinds' motor or mechanism.To detect someone in the room, a presence sensor such as a passive infrared (PIR) sensor can be incorporated. The PIR sensor detects changes in heat signatures, allowing it to sense the presence of individuals in the room. When triggered, the microcontroller can send a signal to the mobile phone application indicating the presence of someone.
For direct sunlight detection, a light sensor can be integrated into the system. The light sensor measures the intensity of light and can differentiate between direct sunlight and other light sources. When direct sunlight is detected, the microcontroller can send a notification to the mobile phone application or trigger specific actions related to the blinds. To determine if it is dark, an ambient light sensor or a combination of light sensors can be utilized. These sensors measure the overall ambient light level in the room and can determine if it falls below a certain threshold, indicating darkness. When darkness is detected, the microcontroller can again send a signal to the mobile phone application or perform relevant actions with the blinds.
In addition to these hardware changes, LED indicators can be added to the device. These LEDs can be programmed to indicate the status conditions mentioned, such as power being applied to the device, presence detection, sunlight detection, and darkness detection. The LEDs can provide visual feedback to the user, allowing them to quickly and easily understand the current status of the blinds and the environment. By implementing these hardware changes, the blinds can be made controllable using a mobile phone and provide status indicators for power, presence, sunlight, and darkness conditions, enhancing the overall functionality and user experience of the system.
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Dan works on a horse farm. There are 10 horses on the farm and they each eat 140
pounds of hay in a week. Dan buys new hay for the farm every week. Where should
Dan purchase hay from if he does not want any hay leftover at the end of the week?
How many bales should he purchase?
The number of bales purchased for the farm is n = 7 bales
Given data ,
Dan works on a horse farm. There are 10 horses on the farm and they each eat 140 pounds of hay in a week
Now , Dan buys new hay for the farm every week
To find the total amount of hay needed for the week, we multiply the amount consumed by each horse by the number of horses:
Total hay needed = 10 horses x 140 pounds/horse = 1400 pounds
To determine the number of bales needed, we divide the total hay needed by the weight of each bale:
Number of bales needed = Total hay needed / Weight of each bale
On simplifying the equation , we get
Number of bales needed for agri supply = 1400 / 75 = 18.667
Number of bales needed for farm supply = 1400 / 150 = 9.33
Number of bales needed for tractor supply = 1400 / 200 = 7 bales
Number of bales needed ≈ 7 bales when there is not leftover
Hence , there is no leftover at the end of the week if he purchases 7 bales from the tractor supply
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The complete question is attached below :
Dan works on a horse farm. There are 10 horses on the farm and they each eat 140 pounds of hay in a week. Dan buys new hay for the farm every week. Where should Dan purchase hay from if he does not want any hay leftover at the end of the week? How many bales should he purchase?
6) Parking lot A charges $19.00 to enter the parking lot plus $1.50 per hour
for parking. Parking lot B charges $14.00 to enter plus $2.75 per hour. After
how many hours is the cost the same at both both parking lots?
Your answer
Answer:
4 Hours.
Step-by-step explanation:
You would set this up as an equality where x represent hours
19.00 + 1.50x = 14+2.75x
You then get the x on one side by subtracting 14 from both sides and 1.50x from both sides.
5 = 1.25x
Divide both sides by 1.25 to x by itself.
4 = x
Pls answer..............
Answer:
b is correct
Step-by-step explanation:
Perimeter is 25 cm, find x 10 8.2 cm
Find the direction of the resultant vector. (11, 11) 0 = [?]° W V (9,-4) Round to the nearest hundredth.
Step-by-step explanation:
To find the direction of the resultant vector, we can use the formula:
θ = tan⁻¹(y/x)
where θ is the angle between the vector and the x-axis, y is the vertical component of the vector, and x is the horizontal component of the vector.
First, we need to find the sum of the two vectors:
(11, 11) + (9, -4) = (20, 7)
Now we can plug in the values for x and y:
θ = tan⁻¹(7/20)
Using a calculator, we get:
θ ≈ 19.44° W of V
Therefore, the direction of the resultant vector is approximately 19.44° W of V.
solve for interval notation: 4x-6 ≥6x-20
tysmm
Answer:
x≤7
Step-by-step explanation: