Answer:
At 7 ft. 1 in., Shellac can expect to weigh approximately 165 lb
Step-by-step explanation:
The relationship between the heights and the weights of the freshman are presented as follows;
The weight of the freshman at 6 ft. = 140 lb
The height to which he plans to grow = 7 ft. 1 in.
Given that Shellac scales geometrically as he grows, then the height to weight ratio is constant
Let 'y' represent Shellac's weight when his height is 75 ft. 1 in., we have;
[tex]\dfrac{6 \, ft.}{140 \ lb} = \dfrac{7 \, ft. \ 1 \, in. }{y}[/tex]
6 ft. = 72 in.
7 ft. 1 in. = 85 in.
Therefore, we get;
[tex]\dfrac{72 \ in.}{140 \ lb} = \dfrac{85 \ in. }{y}[/tex]
[tex]y ={85 \ in. }\times \dfrac{140 \, lb}{72 \ in.} = 165.2 \overline 7 \, lbs[/tex]
Shellac's expected weight given to the nearest whole number when his height is 7 ft. 1 in. ≈ 165 lb.
Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Thanks!!
Answer:
1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
2) E. The coefficient of [tex]x[/tex] is -16.
Step-by-step explanation:
1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:
[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
Correct answer: D
2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:
[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]
[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]
We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.
1. Solve the compound inequality. You do not need to graph the solution.
Answer:
9 ≤ x ≤ 7
Step-by-step explanation:
2x – 3 ≤ 11 or –8x – 10 ≤ – 82
We shall determine the value of x in both case.
2x – 3 ≤ 11
Collect like terms
2x ≤ 11 + 3
2x ≤ 14
Divide both side by 2
x ≤ 14/2
x ≤ 7
–8x – 10 ≤ – 82
Collect like terms
–8x ≤ – 82 + 10
–8x ≤ – 72
Divide both side by –8
x ≤ – 72 / –8
x ≥ 9 (since we divided by a negative sign)
9 ≤ x
Combining both answers
x ≤ 7
9 ≤ x
Thus,
9 ≤ x ≤ 7
The question is: Which best describes the first step in evaluating the expression 4· 53+1 (8-5)Cubed 3
Answer:
Subtract [tex]8 - 5[/tex]
Step-by-step explanation:
Given
[tex]4 . \frac{53 + 1}{(8 - 5)^3}[/tex]
Required
The first step to evaluate the expression
The first step is to evaluate the expression in brackets.
From the question: The expression in bracket is: [tex]8 - 5[/tex]
So, the first step is to subtract [tex]8 - 5[/tex]
solve the system of equations x+y=6 and y+3x=4
Answer: x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4
Fund the value of a4
Answer:
Step-by-step explanation:
A4 means the 4th number so it would be 17.
What is the probability of rolling a 3 or 4 on a six sided die?
Answer:
2/6
Step-by-step explanation:
if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4
I got the lateral I just need help with the total surface area
Answer:probably just mutiply all the numbers!
Step-by-step explanation:
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.
Longer, proper answer:
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
so again the answer must be C.
Trigonometric series : A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.
Option c is correct.
First five term of Trigonometric series of sin is shown below,
[tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]
substitute x = [tex]\frac{4\pi }{5}[/tex]
[tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]
After solving,
We get, approximation value of [tex]sin\frac{4\pi }{5}=0.5884[/tex]
Now find , actual value
[tex]sin\frac{4\pi }{5}=0.5878[/tex]
Learn more:
https://brainly.com/question/23159335
Ed solved a puzzle 3/4 faster than Brett. Brett solved the puzzle in 135 seconds. How long did it take Ed to solve the puzzle.
Answer:
101.25 seconds.
Step-by-step explanation:
We know that Ed solved the puzzle 3/4 faster than Brett.
Then if Brett solved the puzzle in a time T, Ed solved the puzzle in a time (3/4)*T.
We know that Brett solved the puzzle in 135 seconds, then:
T = 135s
This means that Ed solved the puzzle in:
time = (3/4)*T = (3/4)*135s = 101.25 seconds.
An outdoor art display is a metal cube with edge length 57 feet. What is the volume of the cube in cubic feet? In cubic yards?
Nevermind, my answer is wrong
PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP
Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.
How many dozens of
muffins can Garnet make with the flour she has?
Answer:
6
Step-by-step explanation:
2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.
Sophia earns $156 each month babysitting. The circle graph shows how Sophia budgeted her babysitting money during the month of May. How much more money did Sophia budget for art supplies and music than food?
Answer:
$11.70
Step-by-step explanation:
117 - 45% ( Art & Music ) = 64.35
117-64.35 = 52.65
64.35-52.65 = 11.70
Which of the following is a factor of 21? 0 5 7
multiply and find the volume
Answer:
195 cubic centimeters (cm^3)
Step-by-step explanation:
sorry it's late
number 7 pls im dead I need help
Answer:
c
Step-by-step explanation:
divide the two numbers.
Help please I did everything right but my answer is still wrong mark brainliest?
Answer:
5.6
Step-by-step explanation:
60% of the class was present today. If 12 students were present, how many total students are there in the class
Answer:
20
Step-by-step explanation:
20
Answer:
20
Step-by-step explanation:
Proportions
12 = 60%
E = 100%
E = 12*100/60
E = 20
Sammy made her uncle a garden. The width is 6 5 7 ft and the length is 7 3 5 ft. What is the area of the garden?
Answer:
482895ft^2
Step-by-step explanation:
Given data
Width= 657ft
Length= 735ft
We know that area A
A= Length* Width
A=657*735
A= 482895ft^2
Hence the area is 482895ft^2
A recipe for pie dough calls for a ratio of butter to flour of 4/5 : 3 1/3 . If you plan to use 6 2/3 cups of flour, how much butter should you use to keep the same ratio?
Answer:
1 3/5
Step-by-step explanation:
to determine the answer, take the following steps :
determine how much larger the amount of flour you intend to use is more than that indicated in the recipeMultiply the answer gotten in the above step by the amount of flower indicated in the recipe6 2/3 ÷ 3 1/3
20/3 x 3/10 = 2
2 x 4/5 = 8/5 = 1 3/5
12% of 72 is what number?
Answer:
8.64
Step-by-step explanation:
12% = 0.12
72(0.12) = 8.64
What whole number best approximates the value of x?
The answer is 87
For this problem, the method I used was more of a guess and check because I simply plugged the options into a calculator to see which one would be closest a little bit past 9.3 but not all the way 9.4
the square root of 87 is 9.32 so you would round down while the square root of 88 is 9.38 which would round up
Hope this helps :)
Ann picked 29 apples. She took a apples to school. Then, she took 13 apples to soccer practice. Now, she has 8 apples left. How many apples did Ann take to school?
Which equation could be used to solve the question below?
A.
29 − a + 13 = 8
B.
29 + a − 13 = 8
C.
29 − a − 13 = 8
D.
29 + a + 13 = 8
Answer:
C
Step-by-step explanation:
Because each time she kept taking away apples
Answer: A
The total apples minus the apples she took to school + the apples she took to school, youre looking for the apples she took to school not how many she has left
find the arc length
Answer:
9.77 units
Step-by-step explanation:
full circle circumference = 2rπ = 2(16)(3.14) = 100.48
(35°/360°)(100.48) = 9.77 units
Find the area of the figure shown below and choose the appropriate result.
A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2
HELP!!!
A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean
of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be
recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the
following statements is true?
O 20 is a statistic and 20.25 is a statistic.
20 is a statistic and 20.25 is a parameter.
o 20 is a parameter and 20.25 is a statistic.
O 20 is a parameter and 20.25 is a parameter.
Answer: 20 is a parameter and 20.25 is a statistic
Definition of parameter: a numerical characteristic of a population, as distinct from a statistic of a sample.
Definition of statistic: a fact or piece of data from a study of a large quantity of numerical data.
Hope this helps!
Answer:
C
Step-by-step explanation:
20 is a parameter and 20.25 is a statistic
which type of polynomail is 4x-3
Answer:
Binomial
Step-by-step explanation:
Answer:
Binomial
Step-by-step explanation:
3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2
Answer:
(-1, 3)
Step-by-step explanation:
replace the occurrences of y in the equation
(x + y = 2) with x + 4
x + x + 4 = 2
2x + 4 = 2
solving for x in the first equation
2x = 2 - 4
2x = -2
2x/2 = -2/2
x = -1
replacing all occurrences of x in y = x + 4 with -1
y = (-1) + 4
y = 3
therefore the pairs are (-1, 3)
Hope it helps!
Find the value of AB.
D
10
6
А
E
В
AB = [?]
Answer:
AB= 16❤
Step-by-step explanation:
OB= 10
EB²+6²= 10²
EB²= 64
EB=8
2×8=16
The length of line AB in the intersecting chords is determined as 16 units.
What is the length of AB?The length of line AB is calculated by applying intersecting chord theorem as follows;
The radius of the circle = 10
Applying Pythagorean theorem as follows;
EB² + 6²= r²
where;
r is the radius of the circle = 10EB² + 6²= 10²
EB² = 10² - 6²
EB² = 100 - 36
EB²= 64
EB = √ 64
EB = 8
Since EB is the half of length AB, then the value of the length AB is calculated as;
AB = 2 x 8
AB = 16 units
Learn more about intersecting chords here: https://brainly.com/question/13950364
#SPJ2
The temperature at 8:00 am was -10ºF. It rose 15º by noon. At 7:00 pm, the temperature dropped 25º. What was the temperature at 7:00 pm?
Answer:
The answer would be -30°F
Please help quick! I’ll give brainluilyst just please help me