Answer: The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.
Step-by-step explanation: The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.
5.5 ft / 18 ft = x ft / 209.5 ft
Please I really need to know how to do this ASAP
Answer:
the blue block 'side' is 10
the pink block ' bottom' is 9
the cream 'side' block is 13 (length)
the green back triangle next to the blue side is also 10
and the other side of the green back triangle is 8
If y varies directly with x, and y= 4/5 when x= 5:
Find the variation constant, k
Answer:
k = 4/25 or 0.16
Step-by-step explanation:
Given the following data;
y = 4/5
x = 5
To find the variation constant, k;
y is directly proportional to x
Mathematically, y = kx
Substituting into the formula, we have;
4/5 = k5
Cross-multiplying, we have;
4 = 25k
k = 4/25
find the surface area to the nearest tenth.
Answer:
A
Step-by-step explanation:
Jill invest $400 in a savings bond. The value of the bond V(x) in hundreds of dollars after x years is illustrated in the table below. Which equation and statement illustrate the approximate value of the bond in hundreds of dollars over time in years?
Answer:
V(x) = 4(1.35)x, and it grows.
Step-by-step explanation:
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given data points to approximate the relationship between the value of the bond and time by fitting a curve that best fits the points.
Based on the given data,
It seems that the value of the bond is increasing at an accelerating rate over time.
We can try to approximate this relationship by fitting a quadratic equation to the data.
Let's assume that the relationship between the value of the bond and time can be approximated by the quadratic equation:
V(x) = ax² + bx + c
where V(x) is the value of the bond in hundreds of dollars after x years, and a, b, and c are constants to be determined.
To solve for a, b, and c, we can use the three data points for which we have values of V(x):
V(0) = 4, V(1) = 5.4, V(2) = 7.29
Substituting these values into the equation.
a(0)² + b(0) + c = 4
a(1)² + b(1) + c = 5.4
a(2)² + b(2) + c = 7.29
Simplifying.
c = 4
a + b + c = 5.4
4a + 2b + c = 7.29
Substituting c = 4.
a + b = 1.4
4a + 2b = 3.29
Solving for a and b.
a = 0.725
b = 0.675
Now,
The equation that approximates the relationship between the value of the bond and time is:
V(x) = 0.725x² + 0.675x + 4
This equation tells us that the value of the bond is increasing at an accelerating rate over time, starting at $400 (or 4 hundred dollars) and increasing by approximately 0.725 hundred dollars for each year squared, plus 0.675 hundred dollars for each year, plus a constant 4 hundred dollars. For example, after 5 years, the value of the bond would be approximately:
V(5) = 0.725(5)² + 0.675(5) + 4 = 23.75
Therefore,
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
Learn more about equations here:
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Solve the following radical equation , Show work also please !
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-12=6\sqrt{x+4}}[/tex]
[tex]\mathsf{6 \sqrt{x + 4}=-12}[/tex]
[tex]\textsf{DIVIDE your BOTH SIDES by 6}[/tex]
[tex]\mathsf{\dfrac{6\sqrt{x + 4}}{6}= \dfrac{-12}{6}}[/tex]
[tex]\textsf{Introduce the new temporary equation}[/tex]
[tex]\mathsf{\sqrt{x + 4}=-2}[/tex]
[tex]\textsf{SOLVE for your SQUARE ROOT }[/tex]
[tex]\mathsf{\sqrt{{x + 4}}=-2}[/tex]
[tex]\mathsf{Like: x + 4 = (-2)^2}[/tex]
[tex]\textsf{SQUARE EACH of your SIDES}[/tex]
[tex]\mathsf{x + 4 = 4}[/tex]
[tex]\textsf{SUBTRACT your BOTH SIDES by 4 }[/tex]
[tex]\mathsf{x + 4 -4= 4-4}[/tex]
[tex]\mathsf{Cancel\ out\ 7-7 \ because\ it\ gives\ you\ 0}[/tex]
[tex]\textsf{Solving for your last temporary question}[/tex]
[tex]\mathsf{x = 4-4}[/tex]
[tex]\mathsf{4-4 = \bf 0}[/tex]
[tex]\mathsf{\bf x = 0}[/tex]
[tex]\textsf{Plug your x-value (x = 0) to make sure it works for your original equation}[/tex]
[tex]\textsf{You will see that it doesn’t work for the original problem so this means that the}\\\textsf{original equation \bf does NOT have any solutions.}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf No solutions}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I need help again
♂️
Answer:
the 3rd one
Step-by-step explanation:
I need help please :)
Step-by-step explanation:
The given equation is :
2x = 10
We need to find the value of x.
This equation has one solution as it is a linear equation having one variable i.e. x.
Dividing both sides by 2,
x = 5
So, the value of x is equal to 5.
Put x = 5. So,
2(5) = 10
10 = 10
Hence, this is the required solution.
Which sign makes this number sentence true?
|-6| __ |6|
A. >
B. <
C. =
D.
Answer:
C. =
Step-by-step explanation:
whenever you have | | It will always be positive so -6 turns to 6 and that makes it equal.
Find the measures of all the interior angles of the non-convex figure below.
Answer:
angle 3x = 78°
angle opposite (4x + 30) = 226°
Step-by-step explanation:
It has 6 sides, so:
total interior angles sum = (180° x 6) - 360° = 720°
720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°
combine like terms:
720° = 3x + 416° + (360° - 4x - 30°)
720° = -x + 746°
x = 26°
De la siguiente sucesión: – 1, – 3, – 5, – 7, – 9,…, ¿Cuál es la regla general para n=1, 2, 3,…?
The general rule for the given Sequence is a_n = 1 – 2n, where n = 1, 2, 3, ... This equation allows us to calculate any term in the sequence by substituting the corresponding value of n.
The given sequence –1, –3, –5, –7, –9,... follows a specific pattern or rule. To determine the general rule for n = 1, 2, 3,..., we can observe the sequence and identify the relationship between the terms.
Looking at the sequence, we notice that each term is decreasing by 2. Starting with –1, we subtract 2 to get the next term –3. Then, we subtract 2 again to get –5, and so on. Therefore, the rule for generating the terms in this sequence is to start with –1 and subtract 2 from each subsequent term.
We can express this rule algebraically as follows:
a_n = a_1 + (n – 1) * d
Where:
a_n represents the nth term of the sequence,
a_1 represents the first term of the sequence,
n represents the position of the term in the sequence,
d represents the common difference between the terms.
In this case, a_1 = –1 and d = –2 (since each term is decreasing by 2). Plugging these values into the equation, we get:
a_n = –1 + (n – 1) * (–2)
Simplifying further, we have:
a_n = –1 – 2n + 2
a_n = 1 – 2n
Therefore, the general rule for the given sequence is a_n = 1 – 2n, where n = 1, 2, 3, ... This equation allows us to calculate any term in the sequence by substituting the corresponding value of n.
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Note the full question may be :
From the following sequence: – 1, – 3, – 5, – 7, – 9,…, What is the general rule for n=1, 2, 3,…?
Une cuisinière sait qu'il faut 2 h 15 min pour que sa dinde soit cuite. A quelle heure devra-t-elle
l'enfourner si on veut la manger à 13 h 10 ?
Answer:
10 h 55 min
Step-by-step explanation:
13 h 10 - 2h = 11 h 10
11 h 10 - 15 min = 10 h 55 min
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
Please help me
10 + 963 = ?
Answer:
hi
Step-by-step explanation:
10+963=973
have a nice day
Answer:
10+963= 973
Step-by-step explanation:
Answer 973
i hope this help
If x = 99 and a = 76, find y.
Answer:
5
Step-by-step explanation:
That whole circle equals 180, so just add 99 plus 76 and subtract it from 180.
A woman borrows $ 6,000 at 12% compounded monthly, which is to be amortized over 3 years in equal monthly payments. For tax purposes, she needs to know the amount of interest paid during each year of the loan. Find the interest paid during the first year, the second year, and the third year of the loan. [Hint: Find the unpaid balance after 12 payments and after 24 payments.]
Answer:
nsdjdhbdeihddjjdoeuriehdisueueeuhd
HELP LOOK AT THE PHOTO PLEASEEE
Answer:
The answer to the question provided is 60.
3/25 converted to a decimal
Answer:
.12
Step-by-step explanation:
First set up your proportion.
[tex] \frac{3}{25} = \frac{12}{100} [/tex]Multiply 3 and 25 by 4 to get 12 and 100.
the answer would be 12 hundredths or .12
brooke has $90 in an account that earns 10% interest compounded annually. to the nearest cent, how much interest will she earn in 1 year
Brooke earned $9.00 in interest over one year on her account with $90 at a 10% annual interest rate, compounded annually.
To solve this problem, we can use the formula for compound interest:
A =[tex]P(1 + r/n)^(^n^t^)[/tex]
where A is the amount of money in the account after t years, P is the principal (the initial amount of money), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time period in years.
In this case, we want to find the interest earned in one year, so we can set t = 1. We know that Brooke has $90 in her account, so P = 90. The annual interest rate is 10%, or 0.1 as a decimal. The interest is compounded annually, so n = 1.
We can plug these values into the formula and solve for the amount of money in the account after one year:
A = [tex]90(1 + 0.1/1)^(^1^*^1^)[/tex]
A = 90(1.1)
A ≈ 99
The amount of money in the account after one year is approximately $99. So, Brooke earned $99 - $90 = $9 in interest. To the nearest cent, this is $9.00.
In conclusion, using the formula for compound interest, we can calculate the interest earned on an account given the initial balance, annual interest rate, number of compounding periods per year, and time period.
For such more questions on interest
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PLEASE HELP
FIRST ONE TK ANSWER
GETS BRAINLIEST Choose the number that shows the value of the expression 3 x (6 + 1.4) -42
A. 3.4
B. 6.2
O C. 11.4
D. 14.2
MAKE SURE TO LOOK AT THE PHOTO I HAVE PUT
Answer:
B. 6.2
Step-by-step explanation:
The calculation is done by hand and verified by a TI-84 calculator.
Please help meeeeeeee
Which equation could be used to find the dimensions of the rectangle?
Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c
Answer:
Step-by-step explanation:
Greatest common factor of 6x and 9y is 3.
6x + 9y = 3(2x + 3y)
:::::
Greatest common factor of 3c and 11c is c.
3c + 11c = (3+11)c
Find the length of side C when a=40 and b=9
Answer:
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.
Greatest comment factor of 15^2 & 25c
Answer:
25
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF),
25
Please help me answer this question.
What is the vertex of the parabola?
Answer:
g
Step-by-step explanation:
the point at the intersection of the parabola and its line of symmetry
Can anyone help? The question is at the bottom
Answer:
Step-by-step explanation:
Answer:
24 is awnser
Step-by-step explanation:
Pls mark me as brainliest
Find the surface area of the shape
Answer:
180
Step-by-step explanation:
2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?
Answer:f
Step-by-step explanation:d
Pamela and her friends decided to have a water balloon fight! They got 20 water balloons and
used 6 liters of water to fill them all equally.
how much water was in each balloon?
Write your answer as a proper fraction or mixed number.
liters
Answer:
3/10
Step-by-step explanation:
pls help :( i dont get it ive been very stuck
Answer:
ill be figuring this out rn, (theres a caculator thingy online if nobody helps u)
Step-by-step explanation:
44.4 is the Percent and as a fraction its
111/250 (thats what i got)
6.66 as a dec. and as a fraction its 333/50
sorry if these are wrong bur its what i got.