Answer:
25.8
Step-by-step explanation:
114 ft ---> 31 inches
114 ft = 1368 inches
31/1368=0.02266081871 inch scale model
95 feet = 1140 inches, so 1140 * the scale factor of 0.02266081871= 25.83333..
This means, to the nearest tenth inch, the wingspan of the scale model is 25.8
The wingspan of the scale model is approximately 25.8 inches when calculated using the scale factor based on the model's length and the actual length of the plane, both in inches.
To find the wingspan of the scale model, we need to set up a proportion based on the scale between the actual size and the model size of the plane. First, we will find the scale factor by comparing the actual length of the plane to the length of the model in the same units:
Actual length of plane: 114 ft
Model length of plane: 31 inches
We must convert the actual length into inches because the model is measured in inches (1 foot = 12 inches) 114 feet × 12 inches/foot = 1368 inches
The scale factor is the ratio of the model length to the actual length.
Scale Factor = Model Length / Actual Length in inches = 31 inches / 1368 inches
Now, to find the wing span of the model, we use the same scale factor:
Actual wingspan of plane: 95 ft
95 ft × 12 inches/ft = 1140 inches (Actual wingspan in inches)
Model Wingspan = Actual Wingspan in inches × Scale Factor
= 1140 inches × (31 inches / 1368 inches)
We calculate this to get the model's wingspan in inches and round it to the nearest tenth of an inch:
Model Wingspan = (1140 × 31) / 1368 ≈ 25.8 inches
Therefore, the wingspan of the scale model is approximately 25.8 inches when rounded to the nearest tenth.
the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray. which of the following is the equation for f(x)?
Easily you can try each formula with x=-2
because we know f(-2)=-1
So ,in this way D is correct Only!!
Answer:
D) f(x) = (x + 2)³ -1.
Step-by-step explanation:
Given : the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray.
To find : which of the following is the equation for f(x).
Solution : We have given
Graph of f(x) is pink and graph of g(x) is gray.
We can see graph of f(x) is shifted to 2 unit left and 1 unit down
Because gray is at (0 ,0 ) and pink is at ( -2,-1)
By the transformation rule f(x) →→ f(x+h) -k.
It shows that graph is shifted to left by h unit and shifted down by k unit.
Then the equation of pink graph is :
f(x) = (x + 2)³ -1.
Therefore,D) f(x) = (x + 2)³ -1.
What graph best represents the solution to the equality y - 2x > -8
Answer:
In the attachmentStep-by-step explanation:
[tex]y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\<,\ >-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\<,\ \leq-\ \ shading\ below\ the\ line\\>,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)[/tex]
The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equations is?
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1
The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.
Explanation:To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:
First, we set the equations equal to each other since they both equal y: -x - 2 = 2x - 5.Next, we add x to both sides to get 2x + x on the right side: -2 = 3x - 5.Then, we add 5 to both sides to isolate the term with x: 3 = 3x.Finally, we divide both sides by 3 to solve for x: x = 1.So, the x-coordinate of the solution to the system of equations is 1.
Faye has a model airplane whose scale is 7 feet to 1 centimeter. If the wing of the real airplane is 28 feet long, how long is the wing on the model?
Answer:
4 cm is the correct answer
Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the total number of rolls he made with it at his weekly gaming night, and how many of those rolls showed a result of six. His data may be seen in the table below.
Week
1
2
3
4
Rolls Made
39
21
55
41
Results of Six
5
3
11
11
Find the experimental probability of Lawrence’s favorite die rolling a six, expressed as a percentage to two decimal places.
a.
16.67%
b.
18.49%
c.
19.23%
d.
26.83%
Please select the best answer from the choices provided
A
B
C
D
Answer:
C. 19.23%
Step-by-step explanation:
We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.
Total times he got 6: 5 + 3 + 11 + 11 = 30
Total times he rolled the die: 39 + 21 + 55 + 41 = 156
The experimental probability is then 30 / 156 = 19.23%
It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small. If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.
Select the correct answer.
What is the equation of a line that passes through (7.8) and has a slope of -3?
A.
y=-3x + 29
B.
c.
D.
y = 3x + 13
y = (1)/(3)x-29
y = -(1)/(3)x-13
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2019 EdmontumAllah
Answer:
A. y=-3x + 29
Step-by-step explanation:
The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).
y = -3x +29
___
Check
y = -3·7 +29 = -21 +29 = 8 . . . . as required
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 3, so
y = - 3x + c ← is the partial equation of the line
To find c substitute (7, 8) into the partial equation
8 = - 21 + c ⇒ c = 8 + 21 = 29
y = - 3x + 29 → A
what is the radius of the circumference of 106.76
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=106.76 \end{cases}\implies 106.76=2\pi r \\\\\\ \cfrac{106.76}{2\pi }=r\implies 33.98\approx r[/tex]
Answer:
Radius= 16.991381724491
Step-by-step explanation:
Circumference:106.76
Diameter:33.982763448981
Two similar rectangular prisms have a scale factor of 3.4/5.1 .Find the ratio of their volumes.
[tex] \frac{3.4}{5.1} = 0.666667[/tex]
Your answer is 0.6 repeating
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
A 4/5
B 5/4
C 39.2
Answer: Option B.
[tex]b=\frac{5}{4}[/tex]
Step-by-step explanation:
If a varies directly with b then when a increases b it also increases by a factor k.
Then we can write that
[tex]a = kb[/tex]
We know that when a = 28 then b = 7. So
[tex]28 = k * 7[/tex]
[tex]k=\frac{28}{7}[/tex]
[tex]k=4[/tex]
Therefore the equation of proportionality is:
[tex]a=4b[/tex]
So when [tex]a=5[/tex] then:
[tex]5=4b\\\\b=\frac{5}{4}[/tex]
ANSWER
The correct choice is B.
EXPLANATION
If 'a' varies directly as 'b' then we write the equation of variation,
[tex]a = kb[/tex]
Where k is the constant of variation.
We have that a = 28 when b = 7.
This implies that,
[tex]28= 7k[/tex]
[tex]k = 4[/tex]
The equation now becomes
[tex]a = 4b[/tex]
When we a=5, we have
[tex]5 = 4b[/tex]
[tex]b = \frac{5}{4} [/tex]
The correct answer is B
Which inequality is true for x = 2? A) 6x + 20 < 29 B) 7x − 10 < 11 C) 14x + 10 < 37 D) 15x − 18 < 12
For this case we must evaluate [tex]x = 2[/tex] in each of the inequalities and verify if the inequality is met or not:
Option A:
[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]
It is not fulfilled!
Option B:
[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]
Is fulfilled!
Option C:
[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]
It is not fulfilled!
Option D:
[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]
It is not fulfilled!
So, option B is correct, inequality is met
ANswer:
Option B
Final answer:
Upon substituting x with 2 in each of the given inequalities, option B (7x − 10 < 11) is the only true inequality, making it the correct answer.
Explanation:
To determine which inequality is true for x = 2, let's substitute x with 2 in each option:
A) 6x + 20 < 29 becomes 12 + 20 < 29, which simplifies to 32 < 29. This is false.B) 7x − 10 < 11 becomes 14 − 10 < 11, which simplifies to 4 < 11. This is true.C) 14x + 10 < 37 becomes 28 + 10 < 37, which simplifies to 38 < 37. This is false.D) 15x − 18 < 12 becomes 30 − 18 < 12, which simplifies to 12 < 12. This is false since 12 is not less than 12.Therefore, option B) 7x − 10 < 11 is the true inequality when x = 2.
Pamela is 11 years younger than Jerry the sum of their ages is 63 what is Jerry's age?
Answer:
37
Step-by-step explanation:
Pamela's age can be repesented with the variable, p .
Pamela is 11 years younger than Jerry. Jerry's age can be represented with the expression p + 11.
So,
Pamela: p
Jerry: p + 11
If their total, combined age is 63, the following equation can be used to represent their ages.
p + (p + 11) = 63
Now, solve.
p + (p + 11) = 63
p + p + 11 = 63
2p + 11 = 63
2p = 52
p = 26
Now, remember that 26 is how old Pamela is. We're looking for Jerry's age.
We established before that Jerry's age can be represented with the expression p + 11.
We know what p is, so substitute the value of p into the equation.
p + 11
26 + 11
37
So, Jerry is 37 years old.
If you'd like to double check your answer, add 37 [Jerry's age] and 26 [Pamela's age] and you get 56.
I hope this helps you!!! :)
Simplify the expression for questions 1,2,3
32√2
-5√5
3√7 + 7√6;
Find the highest perfect square and non-perfect square that will give you the product of what is inside the radicals, multiply the square roots of those perfect squares by their outside terms, and you will have your simplified radicals.
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which event have a probability greater than 1/5
Answer:
choosing 1 red marble
choosing 1 white marble, replacing it, and choosing another white marble
and choosing 1 white marble
What is the answer for this express
Answer:
12,2,4,7
I think those are the coefficients
For this case we have to, given a monomial of the form:
[tex]ax ^ ny ^ m[/tex]
We have to:
a: Represents the coefficient of the monomial
x, y: Are the variables
n, m: They are the exponents
Then, according to the given expression we have that the coefficients are:
12,2, 4 and 7
ANswer:
12,2, 4 and 7
Use the product of powers property to simplify the numeric expression 41/3 • 41/5
Answer:
the answer is 4 8\15how to simplify this algebra
Answer:
[tex]\large\boxed{A.\ \dfrac{1}{x^2y^2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}[/tex]
[tex]\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]
What is the complete factorization of the polynomial below? X^3+3x^2-x-3
Answer:
(x + 3)(x + 1)(x - 1)
Step-by-step explanation:
Given
x³ + 3x² - x - 3
Factor the first/second and third/fourth terms
= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence
= (x + 3)(x + 1)(x - 1) ← in factored form
Figure ABCD is translated down by 6 units:
Which of the following best describes the sides of the transformed figure A'B'C'D'? (1 point)
The sides of the transformed figure A'B'C'D' describes A'D' is congruent to A'B' . The correct answer is option A
Translating a figure ABCD down by 6 units results in a congruent figure A'B'C'D', meaning the sides of the transformed figure are of the same length and angles as the original.
When a figure is translated, all of its sides remain parallel and congruent to the corresponding sides of the original figure. Therefore, the sides of the transformed figure A'B'C'D' are all parallel to the corresponding sides of the original figure ABCD.
In particular, we can see that A'D' is parallel to A'B' because they are both horizontal lines. Additionally, we can see that A'D' is congruent to A'B' because they are both the same length.
Therefore, the correct answer is option A. A'D' || A'B'.
budget planning
Ryan is trying to save money to buy a home. He wants to write out a budget for himself so he can put some money into savings each month
he has to make a bank account and it'll help in the long run
What verbal expression is the same as the algebraic expression below?
8 - 3x
Question 4 options:
a three times a number minus eight
b three minus eight times a number
c eight times a number minus three
d eight minus three times a number
Answer:
D
Step-by-step explanation:
3x=3(x)
x is an unknown number which there is no value.when there is number next to it.it will become times
please someone help me
Answer:
it intercepts the y-axisStep-by-step explanation:
Look at the picture.
The graph of an exponential function [tex]f(x)=a^x[/tex], a > 0
is above the x-axis and lie in I and II Quarter.
Find (2 × 10^7)+(3 × 10^4)
Answer:
20,030,000
Step-by-step explanation:
You find 10⁷ times 2. then 10⁴ times 3. then add them together
Solve the following equation. Then place the correct number in the box provided. x/1.2=15
Answer:
x = 18.
Step-by-step explanation:
x / 1.2 = 15
To isolate x we multiply both sides of ther equation by 1.2:
x = 15 * 1.2
x = 18 (answer).
For this case we must find the value of the variable "x" of the following equation:
[tex]\frac {x} {1.2} = 15[/tex]
To do this, we must multiply both sides of the equation by "1.2":
[tex]\frac {x} {1.2} * 1.2 = 15 * 1.2\\x = 18[/tex]
Thus, the value of the variable x is 18.
Answer:
[tex]x = 18[/tex]
Another question pls
Answer: 4
Explanation: Every other drink is a cappuccino (or half of the total drinks). All you need to do is divide 8 by 2, which gives you 4.
The answer is 4 because if 5 of the ten drinks were cap.’s then that means half are those, therefore, half of 8 is 4
Divide.3 1/2÷2 1/4 Enter your answer, as a mixed number in simplest form, in the box.
Answer: the exact form would be 14/9, decimal form would be 1.5 and the mixed number for would be 1 5/9
Step-by-step explanation:
Answer:
1 5/9
Step-by-step explanation:
3 1/2 divided by 2 1/4
convert to fractions; 7/2 divided by 9/4
invert the last fraction; 7/2 * 4/9
cross multiply; 7/1 * 2/9
multiply; 14/9
Convert to a mixed number; 1 5/9
Alan and Samuel each have a 30-year mortgage. Both mortgages were approved at the same time. Alan pays 5 percent interest, while Samuel only pays 3.5 percent.
If Alan and Samuel are the same age and make the same amount of money, why is Alan paying more in interest?
a) Samuel has a better credit score, so his interest rate is lower.
b) Samuel has more credit cards, so he recieves a better rate.
c) Alan has a better credit score, so his interest rate is higher.
d) Alan has a longer credit history, so he recieves a worse rate.
The answer would be c
Answer:
a) Samuel has a better credit score, so his interest rate is lower.
Step-by-step explanation:
Alan and Samuel both are same age and make same amount of money.
They both have a 30-year mortgage. But Alan pays 5 percent interest, while Samuel only pays 3.5 percent.
There correct answer here will be - Samuel has a better credit score, so his interest rate is lower.
When a person has a good credit rating, that means he has never defaulted any payment and has always paid his loan on time. He must be a trusted customer for the bank that is why he got a lower interest rate than Alan.
8+4(2x+7)=2(2+6x) and check it please
8 + 4 (2x+7) = 2 (2+6x), 4 (2x+7) + 8 = 2 (6x+2), (4 x 2x + 4x7) + 8 = 2 (6x+2)
x = 9
What is the value of r, the part of the job that Marina can complete in 1 hour?
Answer:
0.4
Step-by-step explanation:
so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)
if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer
An isosceles right triangle has sides that are x+2 units long and a hypotenuse that is 8 units long. What is the length of the missing sides of the triangle
Answer:
In an isosceles right triangle, the hypotenuse is larger than the sides by a factor of the square root of 2.
So, if the hypotenuse is 8 then the sides are 8 / (sq root of 2) = 5.6568542495
Step-by-step explanation:
the total surface area of a cone that has a base radious of 7cm is 417.8cm2 . calculate its slant height
Answer:
12 cm
Step-by-step explanation:
The total surface area of the cone = area of base + area of curved surface
Subtract the base area from total area, that is
πrs = area - πr²
r is the radius and s the slant height
πrs = 417.8 - (π × 7²) = 263.86
Divide both sides by πr
s = [tex]\frac{263.86}{7\pi }[/tex] ≈ 12 cm