I can't see because theirs no question
The function f(x) = 0.4x² – 36x +1000, models the number of accidents, f(x), per 50 million
miles driven as a function of a driver's age, x, in years, for drivers from ages 16 through 74, inclusive. Use the given function to find and interpret f (50). Interpret means to use a sentence to
state the answer.
Answer:
\(f(50) = 200\)
There are 200 accidents per 50 million miles for 50 year old drivers
Step-by-step explanation:
Given
\(f(x) = 0.4x^2 - 36x + 1000\)
Required
Determine f(50)
To do this, substitute 50 for x
\(f(x) = 0.4x^2 - 36x + 1000\)
\(f(50) = 0.4 * 50^2 - 36 * 50 + 1000\)
\(f(50) = 0.4 * 2500 - 1800 + 1000\)
\(f(50) = 1000 - 1800 + 1000\)
\(f(50) = 200\)
Interpretation: There are 200 accidents per 50 million miles for 50 year old drivers
Type the correct answer in the box. Use numerals instead of words.
Answer:
2 squared - 7 + -4
Step-by-step explanation:
One month Sam rented 3 movies and 5 video games for a total of $32. The next month, he rented 12 movies and 2 video games for a total of $29. Find the rental cost for a movie and a video game.
Using a system of equations, the rental cost for a movie and a video game is as follows:
Movie = $1.50Video game = $5.50.What is a system of equations?A system of equations is two or more equations solved concurrently or at the same time.
A system of equations is also described as simultaneous equations.
Movies Video Total
Games Cost
First month rental 3 5 $32
Second month rental 12 2 $29
Let the rental cost per movie = x
Let the rental cost per video game = y
Equations:
3x + 5y = 32 ... Equation 1
12x + 2y = 29 ... Equation 2
Multiply Equation 1 by 4:
12x + 20y = 128 ... Equation 3
Subtract Equation 2 from Equation 3:
12x + 20y = 128
-
12x + 2y = 29
18y = 99
y = 5.5
Substitute y = 5.5 in Equation 1 or 2:
12x + 2y = 29
12x + 2(5.5) = 29
12x + 11 = 29
12x = 18
x = 1.5
Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.
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Given the recursive formula, find the eleventh term in the sequence.
an = an-1.3, a1 = 1
177147
3
31
59049
Answer:
This is the website for the answer it's the fourth question.
https://mathsheetz.weebly.com/uploads/1/0/9/1/109181607/03-07-18_key_notes___hw_geometric_sequences.pdf
Step-by-step explanation:
Hope this helped! :)
Que tiempo emplea un carro que viaja a 420km/h para recorrer una distancia de 120km
El carro tarda aproximadamente 0.29 horas o 17.4 minutos en recorrer una distancia de 120 km a una velocidad de 420 km/h.
Para calcular el tiempo que emplea un carro que viaja a una velocidad constante de 420km/h para recorrer una distancia de 120km, podemos utilizar la fórmula de la velocidad promedio, que es distancia dividida por el tiempo.
Despejando el tiempo, obtenemos que el tiempo es igual a la distancia dividida por la velocidad, es decir:
tiempo = distancia / velocidad
Sustituyendo los valores, tenemos:
tiempo = 120km / 420km/h
Realizando la división, obtenemos:
tiempo = 0.2857 horas
Podemos convertir esto a minutos multiplicando por 60, lo que nos da:
tiempo = 17.14 minutos
Por lo tanto, el carro tarda aproximadamente 17 minutos y 8 segundos en recorrer una distancia de 120km a una velocidad constante de 420km/h.
Hola, para calcular el tiempo que emplea un carro en recorrer una distancia de 120 km a una velocidad de 420 km/h, debes utilizar la fórmula:
Tiempo = Distancia / Velocidad
En este caso:
Tiempo = 120 km / 420 km/h = 0.2857 horas
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Simplify each expression by combining like terms. NO SPACES in your answer.
−5.2t+8.2−7.8t
What is the answer in simpelest form?
The simplification of the expression -5.2t+8.2-7.8t is 8.2-13t
What is simplification of expression?Simplification of expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.
For example, 2x+5y-8x + y can be simplified by collecting like terms. The variables here are x and y
therefore 2x-8x+5y+y = 6y - 6x = 6( y-x)
Similarly, simplifying -5.2t+8.2-7.8t, we collect the term of t' together.
-5.2t-7.8t+8.2= -13t+8.2
= 8.2-13t
therefore the simplification of -5.2t+8.2-7.8t is 8.2-13t
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In the regular quadrilateral pyramid ABCDP, the diagonals of the base, AC and
BD intersect at point O. Determine the set of points common for plane (ACP)
and the plane, say µ, which contains the line BD and is parallel to the lateral
edge AP.
A. Point O only
B. Line that contains point P and parallel to line BD.
C. Line through point O, parallel to edge AP and intersecting edge DC at
its midpoint.
D. Line through point O, parallel to edge AP and intersecting edge CP at
its midpoint.
(rsm 903H geo)
Answer: D
Step-by-step explanation:
guessed
-7 + p = 3 for p
help before my dad comes home
Answer:
p=10
Step-by-step explanation:
-7+p=3
+7-7+p=3+7
p=10
Answer:
Hello! The answer to this question is 10.
Step-by-step explanation:
You have to get p by itself so we will add 7 to both sides:
-7 + p = 3
+7 +7
-------------
p = 10
When doing so, we get p = 10.
You can check your work:
-7 + 10 ⇒ 10 - 7 = 3
Therefore, p = 10 is the correct answer.
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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Evaluate the expression for s = 10, t = –2, and u = 9.
t2u + s = ?
Answer:
46
Step-by-step explanation:
You want to evaluate the expression t²u+s for t=-2, u=9, s=10.
Evaluating an expressionPut the numbers in the places of the corresponding variables, and do the arithmetic.
(-2)²·9 +10 = 4·9 +10 = 36 +10 = 46
The value of the expression is 46.
Solve equation log(x) +log(x+4)=(32) for x
The value of x for the given equation is x = e³² - 4 / 2.
What is logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 is equal to 103, its logarithm in base 10 is 3, or log10 (1000) = 3. When there is no possibility of mistake or when the base is irrelevant, as in big O notation, the logarithm of x to base b is written as logb (x), logb x, or even without the explicit base, log x.
The given equation is log(x) +log(x+4)=(32).
Raise both sides of the equation to the power of e:
\(e^{\log x} + e^{\log (x+4)} = e^{32}\)
x + x+ 4 = e³²
2x = e³² - 4
x = e³² - 4 / 2
Hence, the value of x for the given equation is x = e³² - 4 / 2.
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The answer is in red but I need someone to show the work PLEASE ?!
Answer:
(-1, -8)
Step-by-step explanation:
So you would do the simplifying by "subtracting" the equations from each other. So to isolate the x, you could subtract the y away.
8x + y = -16
-3x + y = -5
-___________
11x = -11
x = -1
Then, substitute x into either equation.
8(-1) + y = -16
-8 + y = -16
Isolate y.
y = -8
A crew of painters are hired to paint a house. The cost of the pain is estimated to
be $250 and each of the (p) painters will get paid $15 per hour. If the crew of
painters will work a 7 hour day and the job is estimated to take (d) days.
12.)What is the equation to determine the cost of 1 painter per day
13.) What is the cost in dollars per day for painting if the are 5 painters working.
14.) Which expression will represent the total cost of painting the house for the
5 painters working?
a. C-250pd + 775
b.) C=250 + 525d
c. C=250(7)(15) (5)d
d. C= 7d + 285 +5
15.) What is the total cost of 5 painters working for 4 days?
12. The cost of 1 painter per day is
C = 15 * 7 hours
13. cost in dollars per day for painting if the are 5 painters working is $525
14. The expression will represent the total cost of painting the house for the 5 painters working is C = 250 + 525d
15. the total cost of 5 painters working for 4 days is $2350
How to solve for the cost12. The workers are to work for 7 hours in a day and the pay for each worker at 1 hour is 15 dollars.
The cost of 1 painter per day is
C = 15 * 7 hours
C = $105
13. If 1 person is 105 dollars, then 5 painters would be 105 * 5
= $525
14. The expression that would tell us the total cost of painting the house is cost of paint + cost of 5 painters * number of days
cost of paint = $250
cost of 5 painters = $525
hence
C=250 + 525d
15. The total cost of 5 workers in 4 days is
C=250 + 525 * 4
C = 250 + 2100
C = $2350
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The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
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what are two numbers have a product of 20 and a sum of 9
Answer:
Step-by-step explanation:
HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Left: -1 2/3
Right: -1 1/4
Can Someone help me!
Answer:< IJL= 63°
Step-by-step explanation:
as AB||CD, EF||GH, KLJI is a paralellogram, & the opposite angles of paralellogram are equal. So,< IJL= <IKL=63°
Cam decided to rent a storage unit to store his sailboat. The mast of the boat is 20 feet long. The storage unit is 4ft by 8ft by 19ft. Will the mast fit in the storage unit?A. YesB. No
Step 1
Find the volume of the storage
\(Length\times width\times height\)From the data given the storage could have a height of 4ft or 8ft or 19ft. The mast of the sailboat is 20 feet long. This means that no matter which of the measurements is the height of the store, the mast of the sailboat will not fit in because it is longer than all those heights.
Therefore, the answer will be;
No the storage unit is too small to fit the mast of the sailboat
An eagle flew for 2 hours at 105 miles per hour, and then it
flew for 4 hours at 115 miles per hour. How far did the eagle
miles
Answer:
670
Step-by-step explanation:
2×105=210
4×115=460
460+210=670
30 point question!!!
Please answer the question in the picture
Answer:
c = 8
Step-by-step explanation:
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Pls help i will give brainliest!!!
Answer:
c=m+s
Step-by-step explanation:
x - 51Solve for x:42
Answer : x = 7
\(\begin{gathered} \text{Solve for x: }\frac{x\text{ - 5}}{4}\text{ = }\frac{1}{2} \\ \text{Firstly, introduce cross multiplication} \\ 2(x\text{ - 5) = 4 x 1} \\ \text{Open the parenthesis} \\ 2\cdot x\text{ - 2}\cdot5\text{ = 4} \\ 2x\text{ - 10 = 4} \\ \text{Make 2x the subject of the formula} \\ 2x\text{ = 4 + 10} \\ 2x\text{ = 14} \\ \text{Divide both sides by 2} \\ \frac{2x}{2}\text{ = }\frac{14}{2} \\ x\text{ = 7} \end{gathered}\)Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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radical expression of 3√27
Answer:
The cube root of 27 is expressed as ∛27 in radical form and as (27)⅓ or (27)0.33 in the exponent form.
Have a good day!
Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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Please help i will give brainliest to the most accurate
Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.
Solution:
Given that,
Total circulation of local newspaper in 2000 = 3250
Total circulation of local newspaper in 2001 = 3640
Total circulation of local newspaper in 2002 = 4100
As we can see 12% < 12.6%
So period of 2001 to 2002 has higher increase percentage.
Answer:
2000 - 2001: 3640 - 3250 = 390
2001 - 2002: 4100 - 3640 = 460
390 divided by 3250 = 0.12
460 divided by 3640 = 0.1263736 = 1.26
A surveyor observes that point A is located on level ground 25 feet from a flag pole. The base of the flagpole represents point B. Approximate the height of the flagpole to the nearest tenth of a foot when the angle between the ground and the top of the flagpole is:______.(a) 30° (b) 38° (c) 45°
Answer:
Step-by-step explanation:
The set up will give a right angled triangle
Given
Distance of point A from the flagpole = 25feet
If angle of elevation is 30°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan30° = opp/25
opp = 25tan30°
opp = 14.4feet
Hence the height of flagpole when the angle of elevation is 30° is 14.4feet
If angle of elevation is 38°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan38° = opp/25
opp = 25tan38°
opp = 19.53feet
Hence the height of flagpole when the angle of elevation is 38° is 19.5feet
If angle of elevation is 45°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan45° = opp/25
opp = 25tan45°
opp = 25feet
Hence the height of flagpole when the angle of elevation is 45° is 25feet
Thomas obtained a bank loan of k10 000 from BSP bank.He repays the money with 36% interest in one year.Calculate his installment payment he pays in one fortnight?
Thomas' installment payment that he pays in one fortnight is approximately k523.08.
To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).
First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:
Interest = Principal × Interest Rate
= k10,000 × 0.36
= k3,600
The total amount to be repaid is the sum of the principal and the interest:
Total Amount = Principal + Interest
= k10,000 + k3,600
= k13,600
Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:
Number of Fortnights = 52 weeks / 2
= 26 fortnights
To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:
Installment Payment = Total Amount / Number of Fortnights
= k13,600 / 26
≈ k523.08
Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.
It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.
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Please awnser asap I will brainlist
The element of A n B is { 7, 8}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.
For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.
The sign 'n' means intersection and this means what is common to two or more set.
If set A = { 1,2,5,7,8}
set B = { 6,7,8,9}
then we can see that 7 and 8 are common to both sides, then
A n B = { 7,8}
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