-f +2+4f = 8-3f
3f+2 = 8-3f
6f = 6
f = 1
Answer:
f = 1
Step-by-step explanation:
Isolate the variable, f. Note the equal sign, what you do to one side, you do to the other.
Add 3f and subtract 2 from both sides:
-f + 2 (-2) + 4f (+3f) = 8 (-2) - 3f (+3f)
-f + 4f + 3f = 8 - 2
Simplify:
(-f + 7f) = 6
7f - f = 6
6f = 6
Isolate the variable, f. Divide 6 from both sides:
(6f)/6 = (6)/6
f = 6/6
f = 1
1 is your answer for f.
~
Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)
15, 13, 11, 9
Answer:
15,13,11,9,…
Given
2
13 - 15 = -2
11 - 13 = -2
9 - 11 = -2
d = -2
3
4
when n = 515,13,11,9,…
Given
2
13 - 15 = -2
11 - 13 = -2
9 - 11 = -2
d = -2
3
4
when n = 515,13,11,9,…
Given
2
13 - 15 = -2
11 - 13 = -2
9 - 11 = -2
d = -2
3
4
when n = 5
Select the graph that represents h=-16t^2+80
Answer: your graph should look like the picture down below!!
Step-by-step explanation:
Vetex: (0,80)
Focus: (0, 5119/64)
Axis of symmetry: x=0
The graph for the given exponential function is shown in the figure.
What is a exponential function?An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent. It is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
For the given situation,
The exponential function is h = -16t^2+80.
Plot this exponential function in the graph.
We can obtain the graph shown below.
From the graph, the vertex is (0,80)
Hence we can conclude that the graph for the given exponential function is shown in the figure.
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I need help with this
Answer:
(b +4)(b +9)(c -5)(c +9)(k +2)(k +3)Step-by-step explanation:
Consider the product ...
(x +a)(x +b) = x^2 +(a+b)x +ab
You will notice that the linear term (a+b)x has a coefficient (a+b) that is the sum of the factors of the constant term (ab).
For problems like this, it is useful to be able to factor the constant term, so you can choose the factors with the appropriate sum.
Signs are important. If the constant is positive, its factors will have the same sign, both positive or both negative. If the constant is negative, its factors will have opposite signs.
__
1. b^2 +13b +36
Factors of 36 are ...
36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6
The sums of these are 37, 20, 15, 13, and 12. So, the factor pair we're looking for is 4 and 9. The factorization is ...
= (b +4)(b +9)
__
2. c^2 +4c -45
The middle term is positive, so the larger magnitude factor will be positive. Factors of -45 are ...
-45 = -1·45 = -3·15 = -5·9
Sums of these factors are 44, 12, 4. So, the factor pair we're looking for is -5 and 9. The factorization is ...
= (c -5)(c +9)
__
3. k^2 +5k +6
6 = 1·6 = 2·3 . . . . sums are 7 and 5 ⇒ factors of interest are 2 and 3
= (k +2)(k +3)
What’s the answers????!!!!
Answer:
[tex] f(0) = 1 [/tex]
Step-by-step explanation:
The initial value is the value when x = 0.
[tex] f(x) = 4^x [/tex]
For x = 0,
[tex] f(0) = 4^0 [/tex]
[tex] f(0) = 1 [/tex]
The area of a rectangle is 344 square inches. If the rectangle is 16 inches wide, find the perimeter of the rectangle.
A. 67 inches
B. 72 inches
C. 75 inches
D. 80 inches
Answer:
C. 75 inches
Step-by-step explanation:
well if it's a rectangle then we would do A = L x W we are told the Width and the Area
344 = L x 16
344 / 16 = 21.5
P = L + L + W + W
16 + 16 + 21.5 + 21.5
16 + 16 = 32
21.5 + 21.5 = 43
32 + 43 = 75
the perimeter is 75 inches
Final answer:
To find the perimeter of the rectangle, we calculate the length by dividing the area by the width and then apply the perimeter formula. We find that the length is 21.5 inches and the perimeter is 75 inches.
Explanation:
To find the perimeter of the rectangle when the area is 344 square inches and the width is 16 inches, we need to use the area formula of a rectangle, which is Area = length × width. Since we have the area and the width, we can calculate the length:
Divide the area by the width to find the length: Length = 344 sq in / 16 in = 21.5 in.
Now, use the perimeter formula: Perimeter = 2 × (length + width).
Substitute the length and width into the formula: Perimeter = 2 × (21.5 in + 16 in) = 2 × 37.5 in = 75 inches.
The correct answer is C. 75 inches.
alice took out 80/20 mortgage on a $232,000 home. what is the amount financed under the first mortgage?
Answer:
The amount financed under this mortgage is $185,600
Step-by-step explanation:
Alice took out an 80/20 mortgage on a $232,000 home.
80/20 mortgage means pay 20% down payment and 80% finance amount of home value.
Home value = $232,000
Now, we need to find finance amount from this hone value of $232,000
Let's calculate the 80% of $232,000 as finance amount;
Finance amount = 80% of 232000
Finance amount = 0.80 x 232000
Finance amount = 185,600
Hence, The amount financed under this mortgage is $185,600
What is the surface area of the figure?
Composite figure composed of a two rectangular prisms right aligned and stacked on each other. The larger rectangular prism has width of 10 feet, length of 4 feet, and height of 5 feet. The smaller rectangular prism has width of 5 feet, length of 4 feet, and height of 5 feet.
360 cm2
180 cm2
155 cm2
310 cm2
Answer:
I got 300, though it's not in the answer choices
Step-by-step explanation:
Separate them into two separate rectangles
5×10×4= 200cm
5×5×4= 100cm
=300cm^2
The coordinate (0,0) is a point on the graph y = 2x.
True
False
Which statements are true? Check all that apply.
1 A is in Quadrant I.
2 B is on the x-axis.
3 C is in Quadrant I.
4 D is in Quadrant III.
5 E is on the x-axis.
6 F is on the x-axis.
7 G is on the y-axis.
Answer:
1,4,6
Step-by-step explanation:
Solve for x and y:
x+y=5 x−y=a
PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!
Answer:
x=[tex]\frac{a+5}{2}[/tex] y=5-[tex]\frac{a+5}{2}[/tex]
Step-by-step explanation:
x+y=5
y=5-x
x-y=a
x-(5-x)=a
2x-5=a
2x=a+5
x=[tex]\frac{a+5}{2}[/tex]
x+y=5
[tex]\frac{a+5}{2}[/tex] +y=5
y=5-[tex]\frac{a+5}{2}[/tex]
Answer:
x=5/2 + a/2, y= 5/2 - a/2
Step-by-step explanation:
We can solve this system using addition of the equations
x+y=5
x-y=a
2x =(5+a)
x=(5+a)/2= 5/2 +a/2
x=5/2 +a/2
x-y=a
y = x - a , x=5/2 + a/2
y= 5/2 + a/2-a
y= 5/2 - a/2
Read more on Brainly.com - https://brainly.com/question/12520369#readmoreStep-by-step explanation:
An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function.
Answer:
c=25p
Step-by-step explanation:
c= total cost
p=number of people
total cost is the numer of people times 25 dollars each
3x^2 and 6x^2 greatest common factor
Nora has $50 saved and gets $12 a week in allowance. Write a function to show the total amount of money she will have saved after n weeks.
Answer:
After 'n' weeks?
Step-by-step explanation:
Make sure your question makes sense.
The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is the probability that a ship coming ashore at a random point in the Gulf of Mexico lands in the given state? Round your answers to the nearest whole percent.
Answer:
TX- 23%
AL- 3%
FL- 47%
LA- 24%
MS- 3%
Step-by-step explanation:
Final answer:
To find the probability of a ship coming ashore in a given state, divide the length of its shoreline by the total length of the Gulf of Mexico's shoreline.
Explanation:
To find the probability of a ship coming ashore at a random point in the Gulf of Mexico landing in a given state, we need to divide the length of the shoreline of that state by the total length of the Gulf of Mexico's shoreline. Let's assume there are 4 states that border the Gulf of Mexico: State A with 100 miles of shoreline, State B with 150 miles, State C with 200 miles, and State D with 250 miles. The total shoreline length of the Gulf of Mexico would be 700 miles (100 + 150 + 200 + 250).
Now, we can find the probability for each state by dividing its shoreline length by the total shoreline length. For example, for State A, the probability would be 100/700 which is approximately 0.1429 or 14.29%.
Following the same calculation, the probability for State B is 150/700 which is approximately 0.2143 or 21.43%, the probability for State C is 200/700 which is approximately 0.2857 or 28.57%, and the probability for State D is 250/700 which is approximately 0.3571 or 35.71%.
The diameter of a circle measures 28 m. What is the circumference of the circle?
Use 3.14 for y, and do not round your answer. Be sure to include the correct unit in your answer.
28 m
EX
Answer:
87.92 m
Step-by-step explanation:
The formula to calculate the circumference of the circle is:
Diameter * Pi ----> 28 * 3,14
Final answer:
The circumference of a circle with a 28 meter diameter is calculated using the formula C = \\(pi) \\times d, resulting in 87.92 meters as the circumference.
Explanation:
The question requires us to find the circumference of a circle given its diameter, which measures 28 meters. To calculate the circumference, we use the formula C = \\(pi) \\times d, where \\(pi) is approximately 3.14 and d is the diameter of the circle. Since the diameter is 28 meters, the circumference is calculated as follows:
C = 3.14 times 28 m = 87.92 m.
Therefore, the circumference of the circle is 87.92 meters.
Which of the following is true if the data point 11.1 is corrected to 11.7?
A.The mean increases.
B.The median increases.
C.The data set has two modes.
D. The range increases.
Answer:
Which of the following is true if the data point 11.1 is corrected to 11.7?
A.The mean increases.
B.The median increases.
C.The data set has two modes.
D.The range increases.
A.The mean increases.
C.The data set has two modes.
These are the correct answers.
A and C will be correct answers.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given that the Data point is corrected from 11.1 to 11.7. As we already know if we increase the value of the data point the mean will rise when a data point is added that is above the mean or subtracted that is below the mean. The mean will drop if one or more data points are removed that are above the mean or added that are below the mean.
Therefore, If data point 1.1 is corrected to 11.7 then the mean will increase and the data set has two modes.
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(08.01 MC)
A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of
following statements true about the sample?
It is not a valid sample because it is only a short study,
It is a valid sample because money is offered to participants.
It is a valid sample because the first 10 people were selected to participate.
It is not a valid sample because it is not a random sample of the population
Answer:
The correct answer is the last on that’s states: it is not a valid sample because it is not a random sample of the population.
Step-by-step explanation:
When a researcher wants to know about the same thing, he/she has to take a sample from the population.
Example, consider a researcher wants to know how many hours the students study at home in a week, so the researcher has to take the sample from the student population.
Here, he/she gives the advertisement and offers $10 for 10 people. Therefore for anyone can come they might not required for a particular study.
Therefore, the answer is the last one.
Answer:
d
Step-by-step explanation:
What best describes the Debt Snowball method for paying off debt
Answer:
The debt snowball method is a debt reduction strategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance. When the smallest debt is paid in full, you roll the money you were paying on that debt into the next smallest balance.
Step-by-step explanation:
Answer:
a debt reduction str
ategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance.
Step-by-step explanation:
which glass will get filled first. be very observant to all the paths and think about what would really happen.
Answer:
Number 7
Step-by-step explanation:
That's the one that is at the bottom and the corresponding tubes lead to the one being the first to be filled
NEED ANSWER ASAP NOW PRONTO NOWWWWWWWWWWWWW
The following box plot shows the number of books sold each day at a store for 60 days. How many days did the bookstore sell 2 to 12 books?
10
15
30
45
Answer:
45
Step-by-step explanation:
Which statement is true
Answer:
A
Step-by-step explanation:
I believe a is true but I'm not a hundred percent sure
Answer:
Answer A
Step-by-step explanation:
13/14 goes to 26/28, which is greater than 25/28.
You start driving north for 3 miles, turn right, and drive east for another 4 miles. At
the end of driving, what is your straight line distance from your starting point?
The straight line distance is 5 miles from starting point.
Step-by-step explanation:
Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.
What is the diameter of the circle shown below?
Diameter is 12. Diameter is radius times 2. 6 times 2=12
Answer:
12
Step-by-step explanation:
the diameter is 2x the radius, in this case we have 6 as the radius so naturally the diameter is 12
A kite is flying at an angle of elevation of
about 55°. Ignoring the sag in the string,
find the height of the kite if 60 m of string
has been let out.
* help please *
Answer:
49.15 m
Step-by-step explanation:
Length of the string is the hupotenuse: 60
Height of the kite is the opposite: X
sin(55) = opposite/hypotenuse
sin(55) = X/60
X = 60sin(55)
X = 49.14912266 m
Geometry help for an idiot lol pls help
Answer:
B
Step-by-step explanation:
The transformation is proved through comparing the size of the bigger triangle to the smaller triangle in the individual sides. So the size of A F/ AB should be equal to AG / AC due to transformations making A F and AG the same times longer as AC and AB. By performing those calculations, you get 3.
Use the Venn diagram to calculate conditional probabilities.
Circles D, E, and F overlap. Circle D contains 13, circle E contains 4, and circle F contains F. The overlap of D and E contains 6, the overlap of E and F contains 7, and the overlap of F and D contains 5. The overlap of all 3 circles contains 5. Number 3 is outside of the circles.
Which conditional probabilities are correct? Check all that apply.
P(D | F) = StartFraction 6 Over 34 EndFraction
P(E | D) = StartFraction 7 Over 25 EndFraction
P(D | E) = StartFraction 7 Over 25 EndFraction
P(F | E) = StartFraction 8 Over 18 EndFraction
P(E | F) = StartFraction 13 Over 21 EndFraction
Answer:
E2020 A, B, D
Step-by-step explanation:
The probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we can see in the Venn diagram the data is shown.
P(D | F) = The probability of event D that depends on the event F.
P(D|F) = 6/34
Similarly:
P(E|D) = 7/25
P(F|E) = 8/18
Thus, the probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.
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Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A X <-9
B. x > 3
O c. xx-3
D. X>7
Work Shown:
5(3-x) < -2x+6
15-5x < -2x+6 .... distribute
15-5x+5x < -2x+6+5x ... adding 5x to both sides
15 < 3x+6
15-6 < 3x+6-6 ... subtracting 6 from both sides
9 < 3x
3x > 9 ... flip both sides of inequality, flip the inequality sign
3x/3 > 9/3 ... dividing both sides by 3
x > 3
Notice that when going from 3x > 9 to x > 3, the inequality sign does not flip. The sign only flips if you divided both sides by a negative number.
find the length of the hypotenuse round your answer to the nearest hundred
Helllppppppppp pleaseeeeeee
Answer:
17 cm
Step-by-step explanation:
Because if you use the Pythagorean threom a^2 + b^2 = c^2. 8 squared is 64 and 15 squared is 225 add those and you get 289, and 17 squared is 289.
What is the difference
between:
1X + 3) = 10 & 1X1 + 3 = 10
Step-by-step explanation:
The difference is 1 times +3 is like 1×3=3
Unlike 1 times 1 + 3 =1×1+3=4
Answer:
Step-by-step explanation:
1x +3 is like 1×3=3
1 x 1 + 3 is basically 1×1+3=4