Answer:
1x
Step-by-step explanation:
Firstly lets expand the brackets for the equation
(x - 7 )2 = 36
If we multiply what's in the brackets by 2 we get this:
2x - 14 = 36
Add 14 to both sides:
2x = 50
Divide both sides by 2:
x = 25
Answer = 1x (Only possible solution
Answer:
The two solutions to the given equation are x = 13 and x = 1.
Step-by-step explanation:
To solve the given equation (x - 7)² = 36, begin by square rooting both sides:
[tex]\implies \sqrt{(x-7)^2}=\sqrt{36}[/tex]
[tex]\implies x-7=\pm6[/tex]
Now add 7 to both sides of the equation:
[tex]\implies x-7+7=\pm6+7[/tex]
[tex]\implies x=7\pm6[/tex]
Therefore, the two solutions are:
[tex]\implies x=7+6=13[/tex]
[tex]\implies x=7-6=1[/tex]
during last nights basketball game the number of points scored by the hornets was triple the number of points scored by the raiders the raiders scored 6 points how many points did the hornets score?
2
9
12
18?
Answer:
18
Step-by-step explanation:
siz times three is eighteen
Graph the function blue, green,red.
The graph of the functions are given as attached.
How do graphs help us to understand functions?Graphs are visual representations of functions that provide valuable insights into their behavior. They allow us to see the relationship between the input and output of a function, and how it changes over time or across different values.
The relationship between the two functions is that they are reciprocals of each other. Specifically, f(x) = 2sin(2x) + 1 is the reciprocal of f(x) = 2csc(2x) + 1, since csc(2x) is the reciprocal of sin(2x). Therefore, they have the same shape, but their values are inverted. See the attached graph.
Learn more about Graphs and Functions at:
https://brainly.com/question/9834848?
#SPJ1
Suppose 50 rabbits are on Groff Farm… DOUBLING every year…
How many rabbits after 5 years?
How many rabbits after 10 years?
Answer:
Step-by-step explanation:
After the first year, the number of rabbits will double from 50 to 100.
After the second year, the number of rabbits will double again from 100 to 200.
This doubling process will continue for a total of 5 years, so after 5 years, the number of rabbits will be:
Number of rabbits after 5 years = 50 x 2^5 = 50 x 32 = 1600
Therefore, there will be 1600 rabbits on Groff Farm after 5 years.
Similarly, after 10 years, the number of rabbits will double 10 times:
Number of rabbits after 10 years = 50 x 2^10 = 50 x 1024 = 51200
Therefore, there will be 51,200 rabbits on Groff Farm after 10 years.
What is an undefined slope
Answer: The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
I hope it helped! :)
The function S=m^(2)+6m+8 models the growth of book sales in m months, where S is an amount in thousands of dollars. In how many months do book sales reach $80,000 ?
Answer:
We are given the function S = m^2 + 6m + 8 which models the growth of book sales in m months, where S is an amount in thousands of dollars. We want to find in how many months book sales reach $80,000.
We can set up an equation as follows:
S = m^2 + 6m + 8 = 80
Subtracting 80 from both sides, we get:
m^2 + 6m - 72 = 0
We can factor this quadratic equation as:
(m + 12)(m - 6) = 0
This gives us two possible solutions:
m + 12 = 0 or m - 6 = 0
Solving for m in each case, we get:
m = -12 or m = 6
Since we are looking for a number of months, we can discard the negative solution.
Therefore, book sales reach $80,000 in 6 months.
So, the answer is: 6 months.
4. The fence around a circular pool is 75 ft long.
Diameter:0ft
Radius:0ft
Is it radius diameter or circumference
The resultant values are as follows:
Radius = 11.94 ft; Diameter: 23.87 ft; Circumference = 75 ft
What is the circumference?The circumference of a circle or ellipse in geometry is its perimeter.
That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.
The curve length around any closed figure is more often referred to as the perimeter.
The length of a circle's outline is referred to as its circumference, and the length of a form with straight sides is referred to as its perimeter.
So, since the fence around the circular pool is given, then it will also be the value of the circumference of the pool.
Circumference = 75 ft
Radius:
2πr = 75
r = 75/2π = 75/(2×3.14) ≈ 11.937
radius = 11.94 ft
Diameter:
2r = 2×11 ≈ 23.87 ft
Therefore, the resultant values are as follows:
Radius = 11.94 ft; Diameter: 23.87 ft; Circumference = 75 ft
Know more about the circumference here:
https://brainly.com/question/20489969
#SPJ1
Complete question:
The fence around a circular pool is 75 ft long. Find: Radius, Diameter, and Circumference.
100 POINTS + BRAINLIEST!!
Answer:
The figure has an area of 70 cm² and is a trapeziumStep-by-step explanation:
The figure is a rectangular trapezoid, and this answers one question, the second question is the area, which we find by making the major base plus the minor base multiplied by the height and we divide everything by two, the two bases are the parallel ones (12 and 8) and the height is 7.
Then it is resolved with this expression
Area = [(12 + 8) × 7] : 2
Area = (20 × 7) : 2
Area = 140 : 2
Area = 70 cm²
What is the likelihood
that all 21 students in a class share the same birthday? Explain.
Quick please!
Answer:
it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull
Step-by-step explanation:
What is the function’s average rate of change from x=-1 to x=1
Answer:
The average rate of change of the function from x=-1 to x=1 is 6.
Step-by-step explanation:
The average rate of change of a function from x=-1 to x=1 is the change in the output of the function (y-value) divided by the change in the input of the function (x-value). In other words, it is the slope of the line connecting the two points (x=-1 and x=1).
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 400 ft greater than the width.
The flag's width is and the length is what?
PLEASE HURRY
Answer:
Step-by-step explanation:
Let's assume that the width of the flag is "w" ft.
According to the problem, the length of the flag is 400 ft greater than the width, which means it can be expressed as:
length = w + 400
Now, we know that the perimeter of the flag is 2,120ft. The perimeter of a rectangle is given by:
perimeter = 2(length + width)
Substituting the values, we get:
2120 = 2[(w+400) + w]
2120 = 2[2w + 400]
2120 = 4w + 800
4w = 1320
w = 330
Hence, the width of the flag is 330ft.
From our equation for the length, we have:
length = w + 400
length = 330 + 400
length = 730
Therefore, the length of the flag is 730ft.
HELPPP ASAP IM AWARDING 80 POINTS!!!!
A cylindrical candle has a radius of 4 cm and a height of 10.4 cm.
What is the exact surface area of this candle?
32.0π cm²
83.2π cm²
91.2π cm²
115.2π cm²
Answer:
D) 115.2π cm².
Step-by-step explanation:
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr² + 2πrh
where r is the radius and h is the height of the cylinder.
In this case, r = 4 cm and h = 10.4 cm. Substituting these values in the formula, we get:
Surface Area = 2π(4)² + 2π(4)(10.4)
Surface Area = 2π(16) + 2π(41.6)
Surface Area = 32π + 83.2π
Surface Area = 115.2π
Therefore, the exact surface area of the candle is 115.2π cm².
The answer is (D) 115.2π cm².
Answer: The answer is D, 115.2π cm²
Step-by-step explanation: When we use the formula of 2πrh+2πr2=2·π·4·10.4+2·π·42 to get the surface area, which equals 361.91
We can divide this by pi to get 115.2π cm²
Hope this helped!
Suppose P(E)=0.43. Find P (Ec)
The probability of the complementary event of E occurring is 0.57.
What is probability?
Probability is a branch of mathematics that deals with the study of random events or phenomena. It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to happen.
In probability theory, P(E) represents the probability of an event E occurring, while P(Ec) represents the probability of the complementary event of E occurring. The complementary event of E is the event that E does not occur. In other words, it consists of all outcomes that are not in E.
To find P(Ec), we can use the formula:
P(Ec) = 1 - P(E)
where 1 represents the total probability of all possible outcomes.
In this case, we are given that P(E) = 0.43. Substituting this value into the formula, we get:
P(Ec) = 1 - P(E)
P(Ec) = 1 - 0.43
P(Ec) = 0.57
Therefore, the probability of the complementary event of E occurring is 0.57.
To learn more about probability from the given llink:
https://brainly.com/question/11234923
#SPJ1
Consider the table shown at left . What is the value of g( f ( -1) )
Answer:
4
Step-by-step explanation:
f(-1) = 2
g(2)= 4
please help immediately
please go to my profile and answer the other I need them asap.
10³•10⁵•10³
Step-by-step explanation:
10³means 10×3,10⁵means 10×5and 10³means 10×3 30+50+30=110
Based on historical data, an insurance company estimates that a particular customer has a 3.3% likelihood of having an accident in the next year, with the average insurance payout being $1500.
If the company charges this customer an annual premium of $120, what is the company's expected value of this insurance policy?
$
Based on this estimate, the insurance company's projected value of this probability insurance policy is negative, implying that the insurance company will lose money on this policy.
What is probability?Probabilistic theory is a branch of mathematics that calculates the chance of an event or a claim being true. A risk is a number between 0 and 1, where 1 represents certainty and a probability of about 0 shows how likely an event appears to be to occur. Probability is a mathematical term for the likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1, or as percentages ranging from 0% to 100%. The proportion of occurrences among equally likely choices that result in a certain event in compared to all possible outcomes.
The total of the potential payouts multiplied by the odds of each payout occurring equals the anticipated value of the insurance policy. In this scenario, the possible compensation is the $1500 insurance payout, and the likelihood of the client being involved in an accident is 3.3%, or 0.033.
Expected value = (Payout if event happens) x (Probability of event happening) - (Annual premium)
($1500) x (0.033) - ($120) = expected value
Value expected = $49.50 - $120
-$70.50 is the expected value.
Based on this estimate, the insurance company's projected value of this insurance policy is negative, implying that the insurance company will lose money on this policy.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. help please now.
Answer: The building is approximately 16.6 feet tall.
Step-by-step explanation:
Use Pythagorean theorem (a²+b²=c²) to solve this.
We know that the ladder is 26 feet long so that would be our hypotenuse (c²). and the distance between the ladder and the building is 20 feet. So, this is the base. The remaining side is x.
Your equation would be: 20²+x²=26²
subtract 20² from 26² --> 276=x²
then take the square root --> 16.6=x
What’s the answer to this problem for factoring basic trinomials?
40-22 x +x²
(x-2)(x-20) is the factored form of the trinomial equation
Factoring trinomialsGiven the quadratic equation below
x² - 22x + 40
To factorise this expression, we need to find two factors of 40 that add up to -22.
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40.
To get a sum of -22, we can choose the factors -2 and -20.
Therefore, we can write:
x² - 22x + 40 = (x - 2)(x - 20)
Thus, the factored form of the expression 40-22x+x² is (x-2)(x-20).
Learn more on factoring here: https://brainly.com/question/25829061
#SPJ1
Find the matrix A such that
A
1 0
−1 3
=
−1 −3
1 6
A = [-4/3 -1/3; 10 10/3] is the matrix that fulfills the equation A × [1 0; -1 3] = [-1 -3; 1 6].
What in mathematics is a matrix?Rows and sections of integers are arranged in a matrix. Learn about matrices' lengths and components as you begin your study of them. A rectangle matrix is a grouping of integers into rows as well as columns. The matrix A, for instance, has two rows along with three columns.
To find the matrix A, we need to solve the matrix equation:
A × [1 0; -1 3] = [-1 -3; 1 6]
We can do this by multiplying both sides by the inverse of [1 0; -1 3] on the left:
A × [1 0; -1 3] × [3 0; 1 1/3] = [-1 -3; 1 6] × [3 0; 1 1/3]
Simplifying the left-hand side using the associative and commutative properties of matrix multiplication, we get:
A × [3 0; -1 1] = [-3 -1; 10 3]
Now, we can solve for A by multiplying both sides by the inverse of [3 0; -1 1]:
A × [3 0; -1 1] × [1/3 0; 1/3 1] = [-3 -1; 10 3] × [1/3 0; 1/3 1]
Simplifying the left-hand side using the associative and commutative properties of matrix multiplication, we get:
A × [1 1/3; 0 1] = [-2/3 -1/3; 10/3 3]
Multiplying both sides by the inverse of [1 1/3; 0 1]:
A = [-2/3 -1/3; 10/3 3] × [1 1/3; 0 1]⁻¹
We can easily find the inverse of [1 1/3; 0 1]:
[1 1/3; 0 1]⁻¹ = [1 -1/3; 0 1]
So, substituting this into the equation for A, we get:
A = [-2/3 -1/3; 10/3 3] × [1 -1/3; 0 1]
Multiplying the matrices on the right-hand side, we get:
A = [-2/3 -1/3; 10/3 3] × [1 -1/3; 0 1] = [-4/3 -1/3; 10 10/3]
Therefore, the matrix A that satisfies the equation A × [1 0; -1 3] = [-1 -3; 1 6] is:
A = [-4/3 -1/3; 10 10/3]
To know more about Matrix visit:
brainly.com/question/28180105
#SPJ1
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
21 20 18 15 11 ? WHAT COMES NEXT
Answer: 6
Step-by-step explanation:
21 - 1 = 20
20 - 2 = 18
18 - 3 = 15
15 - 4 = 11
11 - 5 = 6
A certain triathlon consists of a 2.6 mile swim, a 110 mile bicycle ride, and a 26.2mile run. At one point, a participant had completed as many miles as the number of miles left to complete. How many miles had he completed at that mark?
Answer:
Let x be the number of miles completed by the participant before the mark. Then, the total distance of the triathlon is:
2.6 + 110 + 26.2 = 138.8 miles
At the mark, the participant has completed x miles and has the remaining distance to complete, which is:
138.8 - x
According to the problem, x is equal to the remaining distance:
x = 138.8 - x
Solving for x, we get:
2x = 138.8
x = 69.4
Therefore, the participant had completed 69.4 miles at the mark.
Angles M, N, and P are supplementary.
What is the measure of angle P?
60°
34°
45°
36°
Step-by-step explanation:
The measure of angle p is 60°
solve using the standard algorithm. check your quotient and remainder and by using multiplication and addition 93÷7
In the standard algorithm
Reminder = 2
quotient = 13
What does quotient in mathematics mean?
The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.
When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.
= 93÷7
Reminder = 2
quotient = 13
Learn more about quotient
brainly.com/question/16134410
#SPJ1
What is the measure of ∠m
Answer:
26° 180 -81 - 73 = 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
triangle= 180
81 + 73 = 154
180 - 154= 26
Que volumen debería tener un recipiente para introducir en el 205 kg de mercurio
the container needs to have a volume of 0.01514 cubic meters to hold 205 kg of mercury.
Define volumeVolume is the measure of the amount of three-dimensional space enclosed by an object or space. It is typically expressed in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).
The density of mercury is approximately 13,534 kg/m³.
We can use the formula:
Volume = mass/density
To find the volume of mercury that has a mass of 205 kg:
Volume = 205 kg / 13,534 kg/m³
Volume ≈ 0.01514 m³
Therefore, the container needs to have a volume of approximately 0.01514 cubic meters to hold 205 kg of mercury.
To know more about density, visit:
https://brainly.com/question/29775886
#SPJ1
The complete question is:
What volume should a container have to hold 205 kg of mercury?
Multiply. (4x-3) (2x − 6)
8
8x²-30x+18
6x² +18x - 9
6x²-30x + 18
08x²-18x + 18
Answer:
8x²-30x+18
Step-by-step explanation:
8x²-24x-6x+18
8x²-30x+18
Answer:
[tex]8x^{2} -30x+18[/tex]
Step-by-step explanation:
[tex]8x^{2} -24x-6x+18[/tex]
[tex]8x^{2} -30x+18[/tex]
Help ASAP DUE IN 30 MINUTES
Answer:
53 in2 is the answer for this question
Answer:
53
Step-by-step explanation:
If you divide the figure into two parts by extending the 4 in side, you get a right triangle and a rectangle.
Area of rectangle:
6*8 = 48 in²
Area of triangle:
1/2*(13 - 8)*(6 - 4) = 1/2 times 5 times 2 = 5 in²
Total area is:
48 + 5 = 53 in²
hope this helps x
In 1964, a car manufacturer introduced a new sports car that retailed for $2000. On average, the value of the car has appreciated at
1964.
11.3% per year. Using the standard form of an exponential, given below, write an equation to model the value of the car, z years after
y = ab^x
A=??
B=??
We may conclude after answering the presented question that where equation V(z) is the value of the car z years after 1964.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.
To model the value of the car, we can use the exponential growth formula:
[tex]V(t) = V0 * (1 + r)^t\\V(t) = ab^t\\a = V0 = $2000\\b = 1 + r = 1 + 0.113 = 1.113\\V(z) = 2000 * 1.113^z\\[/tex]
where V(z) is the value of the car z years after 1964.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers
T.A. =
To clear all your answers and start over, click the trashcan icon. Remember to always be accurate, professional, and friendly in your responses.
To answer a student question on Brainly, first, carefully read the question and understand what is being asked. Then, click on an item from the list or group of pictures provided at the bottom of the problem. Hold down the mouse button and drag the item into the correct position in the answer box.
Release the mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Simply click the garbage button to start anew after clearing all your answers. Always be sure to respond with accuracy, professionalism, and friendliness.
To learn more about : trashcan
https://brainly.com/question/29204173
#SPJ11
Show how the model in problem 7 would change if
pl>lql. Draw the model, labeling p, q, and p + q.
Then write an addition equation using integers that
could represent p, q, and p + q.
Problem 7) The model labelling p, q and p + q is given in the attached. The addition equation using integers that could represent p, q, and p + q are:
(-1) + 2 = 1
Problem 8) The model would change if p > q
What is the explanation for the above response?7) Addition equation is given as:
(-1) + 2) = 1
Where ;
p = -1
q = 2
Hence,
-1 + 2 = 1
8) The model in the equation above would change if p > q
That is
|p| > |q|
⇒ p > q
Learn more about Integers at:
https://brainly.com/question/30719820
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.