Step-by-step explanation:
To solve for x, we can begin by simplifying both sides of the equation:
0.06(10000) + 0.08x = 0.072(10000 + x)
600 + 0.08x = 720 + 0.072x
0.08x - 0.072x = 720 - 600
0.008x = 120
x = 120 / 0.008
x = 15,000
Therefore, the value of x is 15,000.
HELPPPP MEEEE PLEASEEE!!!
Step-by-step explanation:
perimeter of rectangle = 2( l+w)
=2(7x+1+x-3)
=2(8x-2)
=16x-4
4 = 16x
4/16=x
1/4=x
answer is 16x-4
but you can write the value of x also
Help with this please part 7 A and B
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
70
Step-by-step explanation:
20 km times 3 plus 10 km
Suppose your cell pone plan charges a fixed rate of $10 per month plus 7 cents per minute. Create a table that shows the relationship between the total number of minutes you might use each month, m, and your total monthly cell phone bill, t
Answer:
sorry but this is very confusing but i'll try for the sake of it.
Step-by-step explanation:
M+T=Y
Square one factor from column A and add it to one factor from column B to develop your own identity. (image attached) 60 points
Answer:
x^4+64 = x^2 -4x+8 * x^2 +4x+8
Step-by-step explanation:
Determine the following probabilities. a. For n=5 and π=0.19, what is P(X=0) ? b. For n=9 and π=0.50, what is P(X=8) ? c. For n=9 and π=0.40, what is P(X=7) ? d. For n=4 and π=0.85, what is P(X=3) ? a. When n=5 and π=0.19,P(X=0)= (Round to four decimal places as needed.)
The probabilities are
a. P(X=0) = 0.3277
b. P(X=8) = 0.00195
c. P(X=7) = 0.2228
d. P(X=3) = 0.4095
To determine the probabilities for the given scenarios, we can use the binomial probability formula:
P(X = k) = (n C k) * π^k * (1 - π)^(n - k)
where:
P(X = k) represents the probability of getting exactly k successes,
n is the number of trials,
π is the probability of success in a single trial,
(n C k) represents the combination of n items taken k at a time.
a. For n = 5 and π = 0.19, to find P(X = 0):
P(X = 0) = (5 C 0) * 0.19^0 * (1 - 0.19)^(5 - 0)
= 1 * 1 * 0.81^5
≈ 0.3277
Rounded to four decimal places, P(X = 0) is approximately 0.3277.
b. For n = 9 and π = 0.50, to find P(X = 8):
P(X = 8) = (9 C 8) * 0.50^8 * (1 - 0.50)^(9 - 8)
= 9 * 0.50^8 * 0.50^1
= 9 * 0.50^9
≈ 0.00195
Rounded to four decimal places, P(X = 8) is approximately 0.00195.
c. For n = 9 and π = 0.40, to find P(X = 7):
P(X = 7) = (9 C 7) * 0.40^7 * (1 - 0.40)^(9 - 7)
= 36 * 0.40^7 * 0.60^2
≈ 0.2228
Rounded to four decimal places, P(X = 7) is approximately 0.2228.
d. For n = 4 and π = 0.85, to find P(X = 3):
P(X = 3) = (4 C 3) * 0.85^3 * (1 - 0.85)^(4 - 3)
= 4 * 0.85^3 * 0.15^1
≈ 0.4095
Rounded to four decimal places, P(X = 3) is approximately 0.4095.
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A regression was run to determine if there is a relationship between hours of TV watched per day (x)
and number of situps a person can do (y).
The results of the regression were:
y=ax+b
a=-0.978
b=27.735
r²=0.737881
r=-0.859
Use this to predict the number of situps a person who watches 12 hours of TV can do (to one decimal
place)
The predicted number of situps a person who watches 12 hours of TV can do, based on the regression results, is approximately 15.8.
To predict the number of situps a person who watches 12 hours of TV can do, we can utilize the regression equation obtained from the given results: y = ax + b.
a = -0.978
b = 27.735
x (hours of TV watched) = 12
Substituting the values into the equation, we can calculate the predicted value of y (number of situps):
y = (-0.978) [tex]\times[/tex] 12 + 27.735
y = -11.736 + 27.735
y = 15.999
Rounding to one decimal place, the predicted number of situps a person who watches 12 hours of TV can do is approximately 16.0.
It is important to note that the regression equation is based on the data and assumptions used to derive it.
Therefore, the prediction should be considered an estimate and may not perfectly represent the actual number of situps a person can do.
Additionally, other factors not accounted for in the regression, such as individual fitness level or health conditions, could influence the actual number of situps performed.
Regression analysis allows us to examine relationships between variables and make predictions based on the obtained model.
However, it is always prudent to interpret the results with caution and consider other factors that may impact the accuracy of the predictions.
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solve the equation 9z-5-4z= -5
Answer:
z = 0
Step-by-step explanation:
Step 1: Write equation
9z - 5 - 4z = -5
Step 2: Solve for z
Combine like terms: 5z - 5 = -5Add 5 to both sides: 5z = 0Divide both sides by 5: z = 0Step 3: Check
Plug in x to verify it's a solution.
9(0) - 5 - 4(0) = -5
0 - 5 - 0 = -5
-5 = -5
Answer:
z=0
Step-by-step explanation:
First, let's combine like terms (9z and -4z). When we add these two values, we get 5z. This leaves the left side to be 5z-5 and that is equal to -5. To get z by itself, we have to add 5 on both sides. This equals 5z=0. Then, we divide by 5 on both sides since the inverse operation of multiplication is division. This leaves z=0.
Find the midpoint of CD if C(3.5) and D(7.5).
Answer:
5.5
Step-by-step explanation:
Add the two then divide by 2
7.5 +3.5= 11
11÷2= 5.5
Use properties of logarithms to rewrite the given expression as the logarithm of a single quantity, then enter that single quantity in the answer box to complete the expression. Assume each of the given variable expressions is defined for appropriate values of the variable(s) contained in it.
1/4log(x)+1/2log(y)
answer: log(____)
Using properties of logarithms, the expression 1/4log(x) + 1/2log(y) can be rewritten as log(√(x)*√(y)).
To rewrite the given expression 1/4log(x) + 1/2log(y) as the logarithm of a single quantity, we can use the properties of logarithms.
First, we can rewrite the coefficients as exponents inside the logarithm:
1/4log(x) + 1/2log(y) = log(x^(1/4)) + log(y^(1/2))
Next, we can combine the logarithms using the property log(a) + log(b) = log(ab):
log(x^(1/4)) + log(y^(1/2)) = log(x^(1/4) * y^(1/2))
Since the exponents have a common denominator, we can simplify the expression further:
log(x^(1/4) * y^(1/2)) = log((√(x))^2 * √(y))
Finally, we can simplify the expression inside the logarithm by recognizing that (√(x))^2 is equal to x:
log((√(x))^2 * √(y)) = log(√(x) * √(y))
Therefore, the given expression 1/4log(x) + 1/2log(y) can be rewritten as log(√(x)*√(y)).
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Help :(((((((( it would make my day #TGIF
Answer:
5 times
Step-by-step explanation:
Assume the height of the streetlamp to be x
If you make a diagram from the details given by the question you should find two pairs of similar sides, from which you can form the equation
[tex]\frac{x}{6} = \frac{20+5}{5}[/tex]
Solving this gives the height of the streetlamp as 30 feet. Divide this length by the height of the man to get the number of times the streetlamp is taller.
Plsssss help with the equation
A radioactive substance decreases in the amount of grams by one third each year. If the starting amount of the substance in a rock is g, write a recursive formula for a sequence that models the amount of the substance left after the end of each year. Is the sequence arithmetic or geometric?
The sequence that models the amount of the radioactive substance left after each year is a geometric sequence with a recursive formula of An+1 = (2/3) * An.
The recursive formula for the sequence that models the amount of the radioactive substance left after each year can be derived from the given information that the substance decreases by one third each year. Let's denote the amount of substance after n years as An.
The recursive formula can be written as:
A1 = g (the starting amount)
An+1 = (2/3) * An (each year, the amount decreases by one third)
To determine whether the sequence is arithmetic or geometric, we need to check if the common difference or common ratio between consecutive terms is constant.
In this case, the sequence is geometric because the ratio between consecutive terms, An+1/An, is constant. It is equal to 2/3, indicating that each term is obtained by multiplying the previous term by the same ratio.
Therefore, the sequence that models the amount of the radioactive substance left after each year is a geometric sequence with a recursive formula of An+1 = (2/3) * An.
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-100 + -204 + 5
help plz
Answer:
-299
Step-by-step explanation:
Write and solve an inequality to represent the situation.
Six more than 7x is greater than or equal to the difference of 31 and 2x.
Answer:
x ≥ 25/9
Step-by-step explanation:
7x + 6 ≥ 31 - 2x
7x ≥ 25 - 2x
9x ≥ 25
x ≥ 25/9
f(x) = 3x – 2 Evaluate f (0)
Answer:
f(0) = -2
Step-by-step explanation:
f(x) = 3x – 2
Let x=0
f(0) = 3*0 – 2
= 0-2
= -2
Answer:
f(0)= -2
Step-by-step explanation:
f(0)= 3(0)-2
3x0 is 0
f(0)= -2
A rancher sprays 130 gallons of herbicide on 200 acres of pasture to kill
bitter weed. How much does he need for his 250-acre pasture?
Answer:
162.5
Step-by-step explanation:
130/200 = x/250
200x = 32500
x = 162.5
A pair of parallel lines is cut by a transversal, as shown:
Which of the following best represents the relationship between angles A and B?
A = B
A = 180 degrees − B
B = 180 degrees − A
A = 2B
Answer:
is A: A=B
Step-by-step explanation:
A rectangle's length is 12.1 more than 3 times its width. Its perimeter is 122.6. Write and solve a system of equations to find the dimensions of the rectangle.
Step-by-step explanation:
Let width of the rectangle be y
Length of rectangle = 3y + 12.1
Perimeter = 2(L + y) = 122.6
2 (4y + 12.1 ) = 122.6
8y + 24.2 = 122.6
y = 98.4 / 8
y (width) = 12.3
Length = 49
The cube root of a number x, written ex, is the number y whose cube is x. That is, y² = x. DO NOW: The Number That Cubes: A cube whose side lengths measure 1 unit has been dilated by several scale factors to make new cubes. 1. For what scale factor will the volume of the dilated cube be 27 cubic units? 2. For what scale factor will the volume of the dilated cube be 1,000 cubic units? Task #1 Suppose we have a solid with volume 10 cubic units. It's dilated, and the volume of the image is 40 cubic units. How can you find the scale factor that was used? Task #2 A superhero action figure has a volume of 1500 cm³. The figure is dilated to create a store display. The volume of the dilated figure is 45,000 cm³. What was the approximate scale factor of the dilation? *STUDENT REFLECTION: GIVE YOUR BEST EFFORT? COMPLETE ALL PARTS? UNDERSTAND? LEARNING OBJECTIVES: I WILL BE ABLE TO: 1) show relationships between volumes and scale factors. 2) find a scale factor by working backwards from a volume. PAGE 1 5.7 FOCUS: How do we analyze relationships between volumes and scale factors? PAGE 2 Lesson 7 Practice Problems 1. A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value of k which results in an image with each given volume. a. 216 cubic units b. 1 cubic unit c. 1,000 cubic units 2. A solid with surface area 8 square units is dilated by a scale factor of k to obtain a solid with surface area A square units. Find the value of k which leads to an image with each given surface area. a. 512 square units b. square unit C. 8 square units 3. A solid with volume 8 cubic units is dilated by a scale factor of k. Find the volume of the image for each given value of k. a. k = + b. k = 0.6 c. k = 1.5 4. Noah edits the school newspaper. He is printing a photograph of a flyer for the upcoming school play. The original flyer has an area of 576 square inches. The picture Noah prints will be a dilation of the flyer using a scale factor of. What will be the area of the picture of the flyer in the newspaper? 5. Angle S is 90 degrees and angle T' is 45 degrees. Side ST is 3 feet. How long is side SU? LEARNING OBJECTIVES: I WILL BE ABLE TO: 1) show relationships between volumes and scale factors.2) find a scale factor by working backwards from a volume.
In these tasks, we are exploring the relationship between volume, scale factor, and dilations. We are given different volumes of dilated objects and need to find the corresponding scale factor. Additionally, we encounter a problem involving surface area and another problem related to angles and side lengths. By applying the concept of dilations and their effects on volume, surface area, and side lengths, we can find the scale factors and solve the given problems.
In Task #1, we have a solid with an initial volume of 10 cubic units that is dilated to obtain a solid with a volume of 40 cubic units. To find the scale factor, we can divide the final volume by the initial volume: 40 / 10 = 4. Therefore, the scale factor used in the dilation is 4.
In Task #2, a superhero action figure has a volume of 1500 cm³, which is dilated to create a store display with a volume of 45,000 cm³. To find the scale factor, we divide the final volume by the initial volume: 45,000 / 1500 = 30. Therefore, the approximate scale factor of the dilation is 30.
For the practice problems listed, they involve finding scale factors, volumes, surface areas, and areas of dilated objects using given information and applying the relevant formulas and concepts. By understanding the relationships between volumes, scale factors, and dilations, we can solve these problems effectively.
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a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X
The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.
The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.
To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.
Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.
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Simplify:
(7:1 – 4) (2x + 3)
Answer:
6x+9
Step-by-step explanation:
Q.1: Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.
THANKS
To find the value of "p" from the polynomial x^2 + 3x + p, if one of the zeroes of the polynomial is 2, we can use the fact that if 2 is a zero of the polynomial, then (x - 2) is a factor of the polynomial.
So, let's divide the polynomial x^2 + 3x + p by (x - 2) using polynomial long division:
___________________
(x - 2) | x^2 + 3x + p
- (x^2 - 2x)
_______________
5x + p
- (5x - 10)
_______________
p + 10
The remainder of the division is p + 10.
Now, since 2 is a zero of the polynomial, the remainder of the division should be zero. Therefore, we can equate the remainder to zero:
p + 10 = 0
Solving for "p", we subtract 10 from both sides:
p = -10
So, the value of "p" is -10.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Salim wants to purchase tickets from a vendor
to watch a tennis match. The vendor charges a
one-time service fee for processing the
purchase of the tickets. The equation T = 15n+
12 represents the total amount T, in dollars,
Salim will pay for n tickets. What does 12
represent in the equation?
A. The price of one ticket, in dollars
B. The amount of the service fee, in dollars
C. The total amount, in dollars, Salim will pay
for one ticket
D. The total amount, in dollars, Salim will pay
for any number of tickets
Answer:
B
Step-by-step explanation:
In the equation it states there is a one-time fee charge so we would add this when writing it in an expression. Since the expressions is: T = 15n + 12; and the only number being added is 12, we can assume the number 12 represents the service fee cost.
I need help with each of these question
Answer:
•y=m(35+0.75)
•15(0.20×)
como resolver estas operaciones
a) 8 + (5 + 3) =16
b) (12 + 15) + (3 + 2 + 1) + 4 (5 + 3 + 2 + 8) =
c) 150 – [18 + (5 – 3) + (6 – 2)] =
d) (15 + 2) – (6 + 2) =
e) (17 – 3) – (11 – 3) =
f) [(6 – 4) – (3 – 2)] – [(9 – 7) – (6 – 5)] =
g (14 + 6 – 4) – (9 – 7 – 2) =
Answer:
a) 64
b)11664
Step-by-step explanation:
Se tiene que seguir la jerarquía de operaciones y la ley de los signos. Primero resuelve lo que esta dentro de paréntesis. ejm:
a) 8+ (5+3)=
8+(8)=
8(8)= (multiplicamos)
64
50 minutes 18seconds as percent of 2 hours
Answer:
50%
Step-by-step explanation:
Answer:
42%
Step-by-step explanation:
The best way to start is to work with common units. In this case, seconds are best.
1 minute = 60 seconds
50 minutes = (60 x 50) = 3000 seconds
3000 + 18 = 3018 seconds
This is our first variable.
1 hour = 3600 seconds(if you change to mins then to seconds is fine too)
2 hours = (3600 x 2) = 7200 seconds
From the question, we can tell;
2 hours = 100%
So we need to find out, 50 minutes 18 seconds = x%
( x is our unknown)
7200 seconds = 100%
3018 seconds = ((3018 x 100) ÷ 7200)
41.916 %
Let's round of to the nearest 1
42% (since 9 is higher than 5, we add 1 to the number before it)
Standard form of a linear equation -2x+3=4y
Answer:
y=-1/2x+3/4
Step-by-step explanation:
just divide the entire equation by 4, so that y is isolated.
The standard form equation of a line is y=mx+b
On a particular day, a restaurant that is open for lunch and dinner had 127 customers. Each customer came in for one meal. An employee recorded at which meal each customer came in and whether the customer ordered dessert. The data are summarized in the table below.
Dessert No dessert
Lunch 7 32
Dinner 15 73
Suppose a customer from that day is chosen at random.
Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth.
(If necessary, consult a list of formulas.)
(a)What is the probability that the customer ordered dessert?
(b)What is the probability that the customer came for lunch or ordered dessert?
a. The probability that the customer ordered dessert is approximately 0.1732. b. The probability that the customer came for lunch or ordered dessert is approximately 0.4252.
(a) The total number of customers who ordered dessert is 7 + 15 = 22. The total number of customers is 127. So the probability that the customer ordered dessert is:
P(dessert) = 22/127
P(dessert) ≈ 0.1732
(b) The number of customers who came for lunch or ordered dessert is 7 + 32 + 15 = 54. The total number of customers is 127. So the probability that the customer came for lunch or ordered dessert is:
P(lunch or dessert) = 54/127
P(lunch or dessert) ≈ 0.4252
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-0.45x + 0.33 = -0.66
The answer to the equation is [tex]x=2.2[/tex]
First, you must subtract 0.33 on both sides.
[tex]-0.45x=-0.99[/tex]
Then, you must divide -0.45 on both sides.
[tex]x=2.2[/tex]
Your answer is [tex]x=2.2[/tex]
