Answer:
5. When the dome is 50 feet high, the distance from the center is 5 feet
6. The equation that model the price y of an x-mile long ride is given as follows;
y = 0.1×x + $3.00
7. The discriminant is < 0; The equation has no real root
8. f(3) = 68
9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7
Step-by-step explanation:
5. The given equation for the shape of the dome is presented as follows;
h = -2·d² + 100
Where;
h = The height of the dome (in feet)
d = The distance from the center
Therefore, we have;
When h = 50, d is found as follows;
h = -2·d² + 100
50 = -2·d² + 100
50 - 100 = -2·d²
-50 = -2·d²
∴ 2·d² = 50
d² = 50/2 = 25
d = √25 = 5 feet
Therefore when the dome is 50 feet high, the distance from the center is 5 feet
6. The given rate the cab charges per mile, x = $0.10
The rate the cab charges as flat fee = $3.00
Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,
Where;
m = the slope or rate which in this case = $0.1/hour
c = A constant term which in this case = $3.00
Therefore
y = 0.1×x + $3.00
The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00
7. The discriminant, b² - 4·a·c of the quadratic equation is (-4)² - 4×3×6 = -56
which is < 0, the equation has no real root
8. Given f(x) = 7·x² + 5
f(3) = 7 × (3)² + 5 = 68
f(3) = 68
9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;
Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;
f(x) - 4= 7·x + 3
f(x) = 7·x + 3 + 4
f(x) = 7·x + 7
The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7
The relation shown in the graph is a function. True or false
Answer:
True. Brainlyest plz
Could someone please help me with this? We are meant to use Pythagoras theorem to solve to solve this question
Answer:
3.92*10^3mm
Step-by-step explanation:
In the diagram it gives you 7900mm. There is a figure which was given underneath written 900mm. use 7900 to subtract 900 you will get 7000. Then you can use the Pythagoras theorem to solve it, with a= height, b=5800mm and c=7000mm where, a^2+b^2=c^2.
Answer:
3919 mm
Step-by-step explanation:
Length of hypotenuse = 7900 - 900 = 7000 mm
Base = 5800 mm
Let the height of the triangle be h mm
Therefore, by Pythagoras theorem:
[tex] h = \sqrt{7000^2 - 5800^2} [/tex]
[tex] h = \sqrt{49000000- 33,640,000} [/tex]
[tex] h = \sqrt{15,360,000} [/tex]
[tex] h = 3,919.18359\: mm[/tex]
[tex] h = 3,919\: mm[/tex]
If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least possible result?
Answer:
The least possible result is -10.
Step-by-step explanation:
Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.
First of all,
Let A = 4, B = 5 and C = 6
[tex]A(B-C) = 4 \times (5-6) = 4 \times -1 = -4[/tex]
Let A = 4, B = 6 and C = 5
[tex]A(B-C) = 4 \times (6-5) = 4 \times 1 = 4[/tex]
Let A = 5, B =4 and C = 6
[tex]A(B-C) = 5 \times (4-6) = 5 \times -2 = -10[/tex]
Let A = 5, B = 6 and C = 4
[tex]A(B-C) = 4 \times (6-4) = 4 \times 2 = 8[/tex]
Let A = 6, B = 4 and C = 5
[tex]A(B-C) = 6 \times (4-5) = 6 \times -1 = -6[/tex]
Let A = 6, B = 5 and C = 4
[tex]A(B-C) = 6 \times (6-5) = 6 \times 1 = 6[/tex]
Summarizing the above values in the form of a table:
[tex]\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}[/tex]
So, the least possible result is -10.
Answer:
-10
Step-by-step explanation:
you want to multiply by the smallest number, so the parantheses should be (smallest number-largest number)
(4-6)5=-2*5=-10
Write the quotient as a mixed number.
94 divided by 7 = 13 R3
Answer:
13 3/7
Step-by-step explanation:
94÷7=13 r3
13 and 3 over 7
The probability that Skene will be alive in 5 years' time is ¾ and the probability that his wife Am in a will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time (a) both of them will be alive (b) only Ekene will be alive Teachers in charge
Answer:
(a) 3/10
(b) 9/20
Step-by-step explanation:
In order to answer this question, we must assume the probabilities are independent.
(a) p(both alive) = p(S alive)×p(A alive) = (3/4)(2/5) = 3/10
__
(b) p(only S alive) = p(S alive)×p(A not alive) = (3/4)(1 -2/5) = 9/20
Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily paper), and $.70 for the Sunday paper. She delivers 124 daily papers each day and 151 Sunday papers each week what is your total pay.
Answer:
About $241.11
Step-by-step explanation:
So, Karen receives 18.2 cents per paper.
She delivers 124 paper per day.
In other words, on days other than Sunday, she will make a total of:
[tex]18.2(124)=2256.8\text{ cents}[/tex]
On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:
[tex]70(151)=10570\text{ cents}[/tex]
Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:
[tex]6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11[/tex]
which term is a term in this expression? -3x-7(x+4)
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.
Answer:
The equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Step-by-step explanation:
The equations m (x) and g (m) are as follows:
[tex]m(x)=\pi x^{2}-2\sqrt{2}x^{2}\\g(m)=1.50m[/tex]
It is provided that the cost of mulch requires is represented by the function g(m), where m is the area requiring mulch.
To compute the equation of cost of mulch based on the radius of the circle substitute the value of m (x) in g (m).
The equation of cost of mulch is:
[tex]g(m) = 1.50m[/tex]
[tex]=1.50\times m(x)\\\\=1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex]
Thus, the equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Answer:
the answer is A
Step-by-step explanation:
edge
Please help with the question below
Follow the steps to solve for the variable in this two-step equation: 5x – 10 = 0
65) Driving time: A family is planning to drive 549 miles from their home in Lincoln, Nebraska, to Mount
Rushmore National Park. They plan to drive at an average speed of 61 miles per hour. How much time will they
spend driving?
549 Divided By 61 Is The Number Of Hours
SOMEONE HELP!! I GOT 2,051 FOR 5! is that right??
i’ll give brainliest
Answer:
Hey there!
Sorry, but you are incorrect.
p(x)=7x+25
f(x)=2x^2+3
f(1)=2(1)^2+3, or 5.
p(5)=7(5)+25=60
Let me know if this helps :)
does anyone know how to substitute -2 into this equation -2x + ( 12 - 9 ) = 2 + 9 + -2x
if you do please help
Answer:
-2(-2) + (12-9) = 2 + 9 + -2(-2)
Step-by-step explanation:
Shawna is buying a rug for her room store a has the rug for $45 with a 10% discount store B has the same rug for $46 and is offering a $10 off coupon the sales tax is 6% on either purchase if sauna only has $40 to spend which store will see purchased a rug from and how much better Will she have left over
Answer:
Shawna buys her rug at STORE B and she has $1.84 left over after purchasing her rug.
Step-by-step explanation:
Store a
Store a sells their rug for $45
Store a offers a discount of 10%
Discount = 10% × $45 = $4.5
Amount payable after discount = $45 - $4.5
= $41.5
There is a sales tax of 6%
The total amount payable
Amount of sales tax + Discounted price of rug
Amount of sales tax = 6 % × $41.5
= $2.472
= Discounted amount + Sales tax
= $41.5 + $2.472
=$43.972
Store b
Store a sells their rug for $46
There is a sales tax of 6%
The total amount payable
Store b offers a 10 dollar coupon off for the rug
= $46 - 10
Amount payable after = $36
Amount of sales tax + price of rug(After coupon is deducted)
Amount of sales tax = 6 % × $36
= $2.16
Amount payable by Shawna in Store a = $36 + Sales tax
= $36 + $2.16
=$38.16
Since Shawna has , only $40 to spend, she buys her rug at STORE B
The amount she has left = $40 - $38.16
= $1.84
Solve for y. * y - 9 = 16
Answer:
y = 25
Step-by-step explanation:
y - 9 = 16
y = 16 + 9
y = 25
Answer:
y = 25
Step-by-step explanation:
y - 9 = 16
=> y = 16 + 9
=> y = 25
Zlatko, a construction supervisor, has signed a contract worth $87 000 to ensure that a factory
is built by June 30. He will receive a bonus of 1.5% of his contract for each day the job is completed ahead of time. How much will Zlatko earn if the factory is completed on June 22?
The graph of y=f(x) is shown below. Find the value of f (0)
Answer:
f(0) = 2
Step-by-step explanation:
Read from the graph the value "y" that the line presents when "x" is zero. That is the f(0) you are looking for.
See attached screen capture with the point highlighted
f(0) according to the image provided is equal to 2.
f(0) = 2
What does N equals in the following equation? N +6+9=32 multiple choice answers are ? A.) 10 B) 20 C) 30
Answer
[tex] \boxed{ \boxed{ \bold{ \purple{N = 17}}}}[/tex]
Step by step explanation
[tex] \sf{N + 6 + 9 = 32}[/tex]
Add the numbers
⇒[tex] \sf{N + 15 = 32}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{N = 32 - 15}[/tex]
Calculate the difference
⇒[tex] \sf{N = 17}[/tex]
Hope I helped!
Best regards!!
which points are coplanar and noncollinear?
Answer:
A, B, D
Step-by-step explanation:
coplanar are in the same plane
colinear are along the same line so non collinear means not along the same line
A ,B , C ,D are co - planar since they are in the same plane
A, C ,D are along the same line
We want points that are co planar and not along the same line, which means we need to include point B
A, B, D
are in the same plane but not along the same line
coplanar and noncollinear
What was the upper quartile of the class sizes?
Answer:
26
Step-by-step explanation:
The upper quartile is the value at the right side of the box, that is
upper quartile = 26
Analyze the diagram to answer the questions another way to name sac would be
Answer:
CAS, T, RAB
Step-by-step explanation:
8 - 3(k + 2) = 2-3k
Answer:
Any value of k makes the equation true.
All real numbers
Interval Notation:
( − ∞ , ∞ )
Simplify the expression. Write your answer as a power.
(-1/2)^3 x (-1/2)^6
What is the expression?
Answer:
The answer is
[tex]( { - \frac{1}{2} })^{9} [/tex]Step-by-step explanation:
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} [/tex]Use the rules of indices
Since they have the same base and are multiplying we add the exponents
That's
[tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]So we have
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} = ({ - \frac{1}{2} })^{6 + 3} [/tex]We have the final answer as
[tex]( { - \frac{1}{2} })^{9} [/tex]Hope this helps you
please help me on this i’ll mark u the brainliest
What is 5/8 of $44.83? Round to the nearest cent (hundredth).
Answer:
$28.02
Step-by-step explanation:
5/8 of 44.83
0.625 • 44.83 = 28.01875
≈ 28.02
Answer:
$28.02
Step-by-step explanation:
5/8 of $44.83
(5 * 44.83) / 8
$28.02
40 + (12) (27) + 18=
Answer:
Hey there!
40+12(27)+18
40+324+18
364+18
382
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{382}}}}[/tex]Step-by-step explanation:
[tex] \sf{40 + (12)(27) + 18}[/tex]
Multiply the numbers : 12 and 27
⇒[tex] \sf{40 + 324 + 18}[/tex]
Add the numbers : 40 , 324 and 18
⇒[tex] \sf{382}[/tex]
Hope I helped!
Best regards!!
factorise 6x²-14x-12
Answer:
2(x - 3)(3x + 2)
Step-by-step explanation:
Given
6x² - 14x - 12 ← factor out 2 from each term
= 2(3x² - 7x - 6) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 6 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the x- term
3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )
= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term
= (x - 3)(3x + 2)
Thus
3x² - 7x - 6 = (x - 3)(3x + 2) and
6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form
does anyone know this?
domain -∞, ∞ ,{g/g ER}
range 0,∞, {y/y≥}
Answer:
The third option is correct.
Step-by-step explanation:
The square root cannot be negative so its minimum value is 0 and its maximum is 3.
So the domain is [-3, 3] and the range is [0+4, 3 + 4] = [4, 7].
does someone know this ??!
Answer:
y = -4x + 3
Step-by-step explanation:
(0, 3) & (1, -1)
slope: (y² - y¹) / (x² - x¹)
(-1 - 3) / (1 - 0) = -4 / 1 = -4
y = -4x + b
plug in to find y-intercept (b)
3 = -4(0) + b
3 = 0 + b
b = 3
y = -4x + 3
Answer:
wait yooooo
Step-by-step explanation:
i just did that plz log into this u go to AOA also brooo we can help each other!!!!
What type of numbers can be written as a fraction. This includes repeating and terminating decimals * Natural Numbers O Whole Numbers O Integer Numbers O Rational Number
Answer: the answer is rational because there is a finite(limited) number of numbers when written as a decimal .