The total number of degrees the temperature changed in the 6 hours is 12°F
Here,
The temperature dropped 2°F every hour for 6 hours.
We have to find,
The total number of degrees the temperature changed in the 6 hours.
Fahrenheit is a scale for measuring temperature, in which water freezes at 32 degrees and boils at 212 degrees. It is represented by the symbol ° F.
Now,
The temperature dropped 2°F every hour for 6 hours.
1 hour = 2°F
6 hour = 6 x 2 = 12°F
Hence, The total number of degrees the temperature changed in the 6 hours is 12°F.
Learn more about Degree in Fahrenheit here:
brainly.com/question/26141817
#SPJ9
An airplane travels 3582 kilometers against the wind in 6 hours and 4482 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer: Let us assume speed of jet in still air =x
speed of wind =y
Jet flying against the wind
Relative speed of the jet = speed of jet in still air -speed of the wind=x-y
distance covered =3426
time =6 hours
distance = speed * time
3426=(x-y)*6
x-y =3426/6
x-y=571——(1)
Jet flying with the wind
Relative speed of the jet = speed of jet in still air +speed of the wind=x+y
distance covered =4026
time =6 hours
distance = speed * time
4026=(x+y)*6
x+y =4026/6
x+y=671———-(2)
solving 1 and 2 we get
x+y=671
x-y=571
x=621
y=50
speed of jet in the still air =x= 621 miles per hour
Step-by-step explanation:
For d the question is asking after four months, the heat is turned off. The excess amount, electricity from the solar panels begins to build back up according to the function. E(d)=38d+500. How do you interpret the 38 in the 500 and this model, we’re doing our presents the number of days since the heat was turned off. How would I solve this?
From the equation E(d) = 38d + 500, The initial electricity is 500W and the build up is 38W per day
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables.
The standard equation of a straight line is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let E represent the electricity from the solar panels after d days.
Since:
E(d) = 38d + 500
The y intercept is 500 and the slope is 38
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Juan has a sandbox and wants to double the length, width and height. If the original box holds 1 cubic foot of sand, how many more feet of sand must be added to fill up the new box.
Juan must add a volume of 7 cubic feet for the enlarged sandbox.
How much sand must we add to an enlarged sandbox?
The volume occupied by the sandbox (V), in cubic feet, is represented by the volume formula for a parallelpiped:
V = w · l · h
Where:
w - Width, in feetl - Length, in feeth - Height, in feetJuan wants to know the additional amount of sand required for the enlarged sandbox. If we know that the initial volume is equal to a cubic foot and each length is double, then we find that the resulting volume for sandbox is:
V' = (2 · w) · (2 · l) · (2 · h)
V' = 8 · (w · l · h)
V' = 8 · V
V = 8 ft³
The addition of sand is found by the following subtraction:
ΔV = V' - V
ΔV = 8 ft³ - 1 ft³
ΔV = 7 ft³
An additional volume of 7 cubic feet is needed for the sandbox.
To learn more on volumes: https://brainly.com/question/1578538
#SPJ1
A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
To maximize the $40,000 allocated to reach the most people, using linear programming, 10 TV ads and 175 radio ads should be used
The number of people reached is 595,000
What is linear programming?Linear programming is a method of maximizing a straight-line or linear function that consists of two or more variables such as the cost and the number of people reached.
Let R represent the number of radio ads and let T represent the number of television ads.
The constraints are;
200·R + 500·T ≤ 40,000
R ≥ 10
T ≥ 10
The maximum value function is 7,000·T + 3,000·R
R ≥ T
R - T ≥ 0
R ≥ T
The equations are therefore;
200·R ≤ 40,000 - 500·T
R ≤ (40,000 - 500·T)/200 = 200 - 2.5·T
R ≤ 200 - 2.5·T
When R = T, we have;
T = 200 - 2.5·T
3.5·T = 200
T = 200 ÷ 3.5 ≈ 57.14
The value of the maximizing function, 7,000·T + 3,000·R, at the vertices of the feasible region are therefore;
(T, R)
At (10, 10); 7,000 × 10 + 3,000 × 10 = 100,000
At (10, 175); 7,000 × 10 + 3,000 × 175 = 595000
At (57.14, 57.14); 7,000 × 57.14 + 3,000 × 57.14 = 571400
The number of adds of each type that will reach the maximum number of people is 10 television ads and 175 radio adsThe number of persons the ads reaches is 595,000Learn more about linear programming or linear optimization here:
https://brainly.com/question/14309521
#SPJ1
Some students were playing tag on a playground. The number of girls was less than twice the number of boys. If there were 7 girls, how many boys were playing tag? Write an equation and solve.
The number of boys were playing tag are 5.
What is equation?
Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
Given: Some students were playing tag on a playground. The number of girls was three less than twice the number of boys. If there were 7 girls.
Suppose the number of boys are x,
So, the number of girls are, 2x - 3.
There are 7 girls.
So, 2x - 3 = 7
2x = 10
x = 10/2
x = 5
Therefore, the number of boys were playing tag are 5.
To know more about an equation, click on the link
https://brainly.com/question/2972832
#SPJ13
Use long division to divide.
(x5 + 2x12x² - 5x - 12) = (x² - 3)
The reminder of the equation using the long division method is 70X - 12.
long division method :
Four main steps to solving this problem:
Divide.Multiply.Subtract.Drop down the last digit.[tex]x^2 - 3$\overline{)x^5 + 24x^3- 5x - 12}$( x^3 + 25x\\\\[/tex]
x₅ + 3 x³
(-) (-)
25x³ - 5x - 12
25x³ - 75x
(-) (+)
70x - 12
here
divisor - (x² - 3)
dividend - (x⁵ + 2x12x² - 5x - 12)
quotient - (x³ +25x)
the given question is incomplete the correct question is
Use long division to divide.
(x⁵ + 2x12x² - 5x - 12) / (x² - 3)
The reminder of the equation using the long division method is 70X - 12.
To know more about division
https://brainly.com/question/3935316
#SPJ1
f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.)
Auto $29,000
5 years
Residual $2,000
Year Cost Accumulated
Depreciation B.O.Y Book Value B.O.Y Depreciation
Expense Accumulated
Depreciation E.O.Y Book Value E.O.Y
1 A B C D E F
2 G H I J K L
3 M N O P Q R
Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $29,000 $0 $29,000 $11,600 $11,600 $17,400
2 $29,000 $11,600 $17,400 $6,960 $18,560 $10,440
3 $29,000 $18,560 $10,440 $4,176 $22,736 $6,264
What is the double-declining-balance method?The double-declining-balance method is one of the depreciation methods in use, but it allocates more cost to the earlier years of the asset's life.
This depreciation method uses twice the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2.
For each year's depreciation expense, the double rate is applied at the end of the year's balance.
For the last year, the difference between the previous year's ending balance and the residual value is taken as the depreciation expense.
Auto = $29,000
Estimated useful life = 5 years
Residual = $2,000
Depreciable amount = $27,000 ($29,000 - $2,000)
Straight-line depreciation rate = 20% (100/5)
Double-declining depreciation rate = 40% (20% x 2)
Depreciation Expense:1st year = $11,600 ($29,000 x 40%)
2nd year = $6,960 ($17,400 x 40%)
3rd year = $4,176 ($10,440 x 40%)
4th year = $2,506 ($6,264 x 40%)
5th year = $1,758 ($3,758 - $2,000)
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $29,000 $0 $29,000 $11,600 $11,600 $17,400
2 $29,000 $11,600 $17,400 $6,960 $18,560 $10,440
3 $29,000 $18,560 $10,440 $4,176 $22,736 $6,264
4 $29,000 $22,736 $6,264 $2,506 $25,242 $3,758
5 $29,000 $25,242 $3,758 $1,758 $27,000 $2,000
Learn more about the double-declining-balance depreciation method at ttps://brainly.com/question/15263644
#SPJ1
Calculate total of (A) current assets, (B) plant assets, and (C) stockholders' equity from these selected titles: Cash $7,500, Common Stock $30,000, Retained Earnings $51,000, Prepaid Rent $12,000, Accounts Payable $1,900, Accounts Receivable $6,000, Merchandise Inventory $19,000, Land $16,000, Building $11,000. (Enter your answers as a whole dollar amount.)
The value of the current assets is $44500.
Plants asset = $27000
Equity = $81000
How to calculate the current assets?The value of the current asset will be:
Cash $7,500
Prepaid Rent $12,000
Accounts Receivable $6,000
Merchandise Inventory $19,000,
Current asset = $44500
Plant assets will be:
Land $16,000
Building $11,000.
Plant asset = $16000 + $11000 = $27000
Stockholders equity will be:
Common stock = $30000
Retained earnings = $51000
Equity = $81000
Learn more about asset on:
brainly.com/question/19440080
#SPJ1
Sets A, B, and C are subsets of the universal set U.
These sets are defined as follows:
U= {f, g, h, p, q, r, x, y, z}
A= {f, g, p, q}
B= {g, h, q, x, y}
C={ p, q, x, y, z}
Find (A' u B) ∩ C'.
Write your answer in roster form or as Ø.
=====================================================
Explanation:
Unfortunately the U from "universal set" and the union symbol look almost identical.
What I'll do to avoid confusion is to let E represent the set of everything we care about, aka universal set.
E = {f, g, h, p, q, r, x, y, z}
Feel free to use other notation if it makes better sense to you.
From this set, we'll erase items that are found inside set A = {f, g, p, q}
So we go from this
E = {f, g, h, p, q, r, x, y, z}
to this
A' = {h, r, x, y, z}
Everything found in here is guaranteed to not be inside set A.
------------------------
The next step is to union set A' with set B. This is where we combine those two sets into a larger set of items. Toss out any duplicates. Each unique letter is to be listed once.
A' u B = {h, r, x, y, z} U {g, h, q, x, y}
A' u B = {h, r, x, y, z, g, h, q, x, y}
A' u B = {g, h, q, r, x, y, z}
It's recommended you sort the items in a consistent fashion.
Set this result aside for now, and come back to it later.
------------------------
Go back to the set of everything, aka universal set.
E = {f, g, h, p, q, r, x, y, z}
Cross off stuff found in set C, so we guarantee to form the opposite or complement set C'
C' = set of everything NOT found in C
C' = erase "p,q,x,y,z" from set E
C' = {f, g, h, r}
------------------------
To recap we found
A' u B = {g, h, q, r, x, y, z}C' = {f, g, h, r}Intersect those sets by looking at what they have in common. This is the overlapped region between the sets.
The three items in common are: {g, h, r} which forms the final answer.
12u–9u–5u+13= -5
find u
The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2018. Approximate the mean and standard deviation for age.
Age: 25-34 35-44 45-54 55-64
Number: 24.3 36.1 36.7 20.9
(Millions)
The mean age is:
The standard deviation is:
The mean age is equal to: 44.09.
The standard deviation is equal to: 10.07.
How to determine the mean age and standard deviation?First of all, we would determine the median of each class interval as follows:
Median 1 = (25 + 34)/2 = 29.5
Median 2 = (35 + 44)/2 = 39.5
Median 1 = (45 + 54)/2 = 49.5
Median 1 = (55 + 64)/2 = 59.5
Next, we would calculate the mean age by using this mathematical expression:
Mean age = ∑fx/∑f
Substituting the given parameters into the formula, we have;
Mean age = [(24.3 × 29.5) + (36.1 × 39.5) + (36.7 × 49.5) + (20.9 × 59.5)]/(24.3 + 36.1 + 36.7 + 20.9)
Mean age = [716.85 + 1,425.95 + 1,816.65 + 1,243.55]/118
Mean age = [5,203]/118
Mean age = 44.09.
Now, we can calculate the standard deviation as follows:
Standard deviation, S = √((∑f(xi - μ)²/∑f)
Standard deviation, S = √((24.3 × (29.5 - 44.09)² + (36.1 × (39.5 - 44.09)² + (36.7 × (49.5 - 44.09)² + (20.9 × (59.5 - 44.09)²)/(24.3 + 36.1 + 36.7 + 20.9))
Standard deviation, S = √((5172.70 + 760.56 + 1,074.14 + 4,963.08)/118)
Standard deviation, S = √(11,970.48/118)
Standard deviation, S = √101.5
Standard deviation, S = 10.07.
Read more on standard deviation here: https://brainly.com/question/14676082
#SPJ1
The scores on a psychology exam were normally distributed with a mean of 72 and a standard deviation of 6. A failing
grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing
score? Approximately what percentage of the students failed?
The cutoff for a failing score was?
Cut off for the failing score is 60.
Percentage of the student failed is 12.5%.
What is standard deviation?
The term "standard deviation" (or "SD") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What is normail distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
Given that,
mean = 72
standard deviation = 6
So,
(a) Cutoff score = mean-(2 x standard deviation) [tex]=72-(2\times 6)[/tex][tex]= 72-12[/tex] [tex]=60[/tex].
(b) In a normal distribution, 95% of students fall on both sides of mean in 2 standard deviations range. i.e., [tex]\frac{95}{2} = 47.5[/tex] of students between mean and (mean-2 x standard deviation). So, the percentage of students below 2 standard deviations from mean = 60-47.5 = 12.5%.
Learn more about normal distribution:
https://brainly.com/question/4079902
#SPJ13
216. Разложите на множители, а затем вычислите значение выражения
a) a² + ab при а = 6,6, b = 3,4;
б) x2 - ху при х = 0,5, у = 2,5;
в) —5а² — 5ах при а = 4, x = -3
Answer:
Doesn't make a lot of sense. Can you be more specific.
Step-by-step explanation:
help asap thanks yall so much
Answer:
a and c
Step-by-step explanation:
if you evaluate each one on either side of the equal sign you get the same number on both sides
what is the present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now?
The present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now is; $9215.77
What is the Present Value of Annuity?
An annuity is defined as a fixed amount of cash that is received or paid periodically over a certain period of time. This would mean that the amount in each cash flow of the annuity would be equal and occur for a specific period of time.
The formula for present value is;
PV = P[1 - (1 + r)⁻ⁿ)/r]
where;
PV is present value
P is periodic cash flow
r is interest rate
n is time
We are given the following;
Periodic cash flow (P) = $2525 /Year
Interest rate (r) = 10% /Year = 0.1
Time (n) = 16 Year (from 9 years to 24 years)
Thus;
PV = 2525[1 - (1 + 0.1)⁻¹⁶)/0.1]
PV = $19754.86
This is the present value in 9 years
Thus, the present value in 24 years which is now will be expressed by the formula;
PV = FV/(1 + i)^(t)
where;
PV is present value
FV is future value
i is interest rate
t is time
Thus;
PV = 19754.86/(1 + 0.1)^(8)
PV = $9215.77
Read more about Present Value of Annuity at; https://brainly.com/question/19131462
#SPJ1
A dairy farmer wants to mix a 45% protein supplement and a standard 20% protein ration to make 2000 pounds of a high-grade 35% protein ration. How many pounds of each should he use?
The farmer should use 1200 pounds of type 1 mixture and 800 pounds of type 2 mixture to satisfy the given conditions
From given information,
Type 1: 45 percent of protein in the supplement is x pounds
Type 2: 20 percent of the protein in the supplement is (2000 - x) pounds
Also Mixture A 35% of the protein in the supplement is 2000 pounds
According to the equation after removing the percentage sign we have
45x + 20(2000-x)= 35*2000
45x + 40000 - 20x = 70000
25x = 30000
x = 1200
Now for type 2 mixture we have
2000 - 1200 = 800 pounds
Therefore, the farmer should use 1200 pounds of type 1 mixture and 800 pounds of type 2 mixture to satisfy the given conditions
Learn more about percentage here:
brainly.com/question/24304697
#SPJ1
PLEASE HELP ME ON THIS!!!!!!!!!!!!!!
A student would like to show their teacher that they have practiced long enough for the day. Which measure of center should the student give to their teacher? Explain your answer.
Answer: hours
Step-by-step explanation:
minutes would be way too many
seconds - just self explanatory
days- would be less than one
hours is the only possible solution
A company has 35% and 3% hydrogen peroxide solutions. They need an 8 L container with a 12% concentration of hydrogen peroxide. How much of the 3% hydrogen peroxide solution should they include in the container?
Answer:
2 L
Step-by-step explanation:
If the first one is 12% then the 3% one would be 2L because of algebra
5.75 liters of 3 percent hydrogen peroxide solution are included by the company in the container.
What is the percentage?A measurement used to determine a number's value out of 100 is the percentage.
Hydrogen peroxide solutions in various containers have concentrations of 35% and 3%.
Since the corporation wants an 8-liter container with a 12% hydrogen peroxide concentration.
Use mixture and allegation property,
35 3
12
9 : 23
Total quantity = 23x + 9x = 32x
Since, the company wants 8 liters,
therefore, 32x = 8 ⇒ x = 1/4
3.5 percent hydrogen peroxide solution will be equal to = 23x = 23/4 = 5.75. 5.75 liters of 3 percent hydrogen peroxide solution are needed.
To learn more on Percentage:
brainly.com/question/24120406
#SPJ2
a bag with 2/3 pounds of peanuts can make 1/8 pounds of peanut butter how many pounds of peanuts would be needed to make one pound of peanut butter for middle school
The required pounds of peanut that can make one pound of peanut butter is given as 5 1/3
How to solve for the quantityIf 2/3 pounds of peanut = 1/8 pounds of peanut butter
? quantity of peanut = one pound of peanut butter
This would be better expressed in numbers as
2/3 = 1/8
? = 1
To solve for this , we would have to cross multiply
such that we would have
2/3 = 1/8?
to get the unknown, we have to divide through by 1/8
2/3 ÷ 1/8 = unknown
2/3 x 8/1
= 16/3
= 5 1/3
Hence the required pound that would be needed to make the peanut butter is given as 5 1/3
Read more on unit rates here : https://brainly.com/question/28773672
#SPJ1
The formula W=0.86g^2-0.01g+5.9 models the weight, W, in ounces, for a cat who is fed g grams per day of a special food. According to the formula, how much will a cat weigh when it is fed 13 grams of the special food per day? Round to the nearest hundredth.
Weight of cat when 13 grams food is fed is 151.11 ounces.
Explain equationEquations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity.
Given, the formula for weight,
W = 0.86[tex]g^{2}[/tex] - 0.01g + 5.9
= 0.86[tex](13^{2} )[/tex] - 0.01*13 + 5.9
= 0.86*169 - 0.13 + 5.9
= 145.34 - 0.13 + 5.9
= 151.11 ounces
Therefore, the weight of the cat will be 151.11 ounces.
To know more about equations, visit:
https://brainly.com/question/25307036
#SPJ1
Does anybody know how to help me??
Answer:
D? I'm not sure tho so don't be mad if it's wrong
1. Classify the figure in as many ways as possible. (1 wwwwww www Orectangle; square; quadrilateral; parallelogram; Orectangle; square; parallelogram Orhombus; quadrilateral; square MI
The figure given can be classified into; rhombus, quadrilateral, square.
The correct answer option is option c
How to classify a figure?Quadrilateral: This is a polygon with four sides.
Rhombus: This is a parallelogram having all sides of equal length.
Rectangle: A quadrilateral having opposing sides parallel and four right angles.
Square: A polygon with four sides of equal length and four right angle.
Parallelogram: This is a convex quadrilateral in which each pair of opposite edges are parallel and of equal length.
In conclusion, the figure can be classified into quadrilateral, rhombus and square.
Complete question:
The complete question is in the attached image.
Read more on quadrilateral:
https://brainly.com/question/23935806
#SPJ1
Express the number as a ratio of integers.
0.46 = 0.46464646
Answer:
3.45
Step-by-step explanation:
this is how it is supposed to be
Birdseed costs $0.67 a pound and sunflower seeds cost $0.97 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.79 per pound. How many pounds of each type of seed should she use?
All the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Birdseed that costs $0.67 a pound and sunflower seeds that cost $0.97 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.79 per pound.
Assume that she used [x] pound and [y] pound of each type. We can write -
0.67x + 0.97y = 0.79 x 30
0.67x + 0.97y = 23.7
Plot the graph of this function. All the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.
Therefore, all the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.
To solve more questions on equation modelling, visit the link below-
brainly.com/question/28807857
#SPJ1
The note F# has a frequency of 1,480 hertz. The note B has a frequency of 988 hertz. Find the ratio of F# to B to two decimal places. Express the answer in integer-ratio form.
answer is a fraction.
The ratio of F# to B to two decimal places is 1.50:1.
What is ratio?A ratio is simply used to compare two things or numbers.
In this case, the note F# has a frequency of 1,480 hertz and the note B has a frequency of 988 hertz.
The ratio of F to B will be:
= 1480 / 988
= 1.50
The ratio is 1.50:1.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Answer:
3/2
Step-by-step explanation:
lamp post tilts
toward the Sun at a 2° angle from
the vertical and casts a 25-foot shadow.
The angle from the tip of the shadow
to the top of the lamp post is 45°.
Find the length of the lamp post.
Answer:
the lamp of post is 24 of the same
Write the expression ;
The quotient of seven and a number, added to ten.
Answer: (7/x) + 10
A quotient is a result you get after dividing two numbers, for example, 10 divided by 2 is 5. 5 is the quotient because it's the result of 10/2. Hence, the quotient of seven and a number is simply (7/x), x being any number. And that value is added to 10, leaving us with the expression (7/x) + 10.
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
[tex]7x^2+7y^2-28x+42y-35=0 \\ \\ x^2 +y^2-4x+6y-5=0 \\ \\ x^2+y^2-4x+6y=5 \\ \\ x^2-4x+4+y^2+6y+9=18 \\ \\ \boxed{(x-2)^2+(y+3)^2=18}[/tex]
So, the center is [tex](2,-3)[/tex] and the radius is [tex]3\sqrt{2}[/tex].
Teddy and Henry both bought a used car on the same day. Teddy's used car has
4,298 miles on it already, and he drives 426 miles per month. Henry's car has 6,129
miles on it already, and he drives 223 miles per month. After how many months will
each car have the same nulaber of miles on it?
After 9 months each car will have the same number of miles on it.
What is a linear equation?
Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Here,
Let miles per month be x.
then, by a linear equation, we get
4298 + x(426) = 6129 + x(223)
203x = 1831
x = 9 months
Hence, after 9 months each car will have the same number of miles on it.
To learn more about linear equations from the given link
https://brainly.com/question/26310043
#SPJ13