Answer:
The distance from the centre of the dome is 2000 feet
Step-by-step explanation:
We have an equation representing the distance from the centre of the dome.
We can now make the subject of the formula.
d = 2100 -2(h)
We are asked to find the value of d when the value of h is = 50 feet.
To do this, we simply plug in the value for h into the equation and solve the equation.
d = 2100 - 2(50)
d = 2100 -100
d = 2000 feet.
Hence the distance from the centre of the dome is 2000 feet
Arthur can throw a ball twice as far as Beatrice. Beatrice can throw a ball one-third as far as Cory. Cory can throw a ball twice as far as Dominick. What is the ratio of the distance of Arthur's throw to Dominicks throw? Detailed answer please!
Answer:
A : D
4 : 3
Step-by-step explanation:
We'll use the first letter of their names as the heading for the ratio.
The first line states:
A : B
2 : 1
The second line states:
B : C
1/3 : 1
The third line states:
C : D
2 : 1
We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.
Let's look at the ratio with a fraction first.
B : C
1/3 : 1
If we ×3 throughout, this can also be written as:
B : C
1 : 3
Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:
A : B : C
2 : 1 : 3
In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.
C : D
2 : 1
6 : 3
A : B : C
2 : 1 : 3
4 : 2 : 6
We can see that our ratio for C is the same number and we can now combine the ratios.
A : B : C : D
4 : 2 : 6 : 3
The question asked for A : D so we can take just the values of A and D.
A : D
4 : 3
I hope this helps :)
I WILL GIVE BRAINLEST Order the numbers from least to greatest. 1=least and 4=greatest sq root of 9 over 4, sq root of 5, 2.5, or 5 over 3
URGENT I NEED HELP PLEASE !!
Answer:
29[tex]\sqrt{5}[/tex]
Step-by-step explanation:
11[tex]\sqrt{9*5}[/tex] - 4[tex]\sqrt{5}[/tex]
Take nine out - square root of 9 is 3
= 3 x 11 [tex]\sqrt{5}[/tex] - 4[tex]\sqrt{5}[/tex]
= 33[tex]\sqrt{5}[/tex] - 4[tex]\sqrt{5}[/tex]
= 29[tex]\sqrt{5}[/tex]
can not be simplified any more
Hope that helped!!! k
Pleaseeee solve this math for me I reallyyyy neeed help
Pleaseee
Any wrong answer I’ll report
Answer:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z = [tex]\sqrt{36}[/tex] = 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5
determine the domain and range of the following function. Record your answers in set notation. Can someone explain this to me? I can't understand any of it.
Answer:
The answer is D.
Step-by-step explanation:
The domain are the x-values and the range are the y-values. The open circle on the graph is stating that that specific point is not included in the line, so that means that the point (-2,-5) is not included. In words, the answer means the domain or x=all real numbers not including -2 and the range or y=all real numbers not including -5. Hope it helps
A length of glass tubing is 10 cm long. What is its length in inches to the nearest inch? in.
Answer:
4 inches
Step-by-step explanation:
on egde 2020
Complete the square to solve the equation below.
Check all that apply.
x2 + 8x-1 = 19
O A. x= -10
O B. X= -2
O C. X=-3
O D. X = 2
Answer: X= -10, and X=2
Step-by-step explanation:
Answer:
X=-10 and x=2
Step-by-step explanation: so the answers would be A. And D.
What is the quotient property of exponents?
Answer:
when you divide powers with the same base, you can just subtract the exponents
Ten children measured how high they could jump. The results they recorded, in inches, were as follows: 8, 9, 8, 6, 8, 12, 9, 10, 11, 16 What is the median of these measures?
A. 8 in.
B. 9 in.
C. 9.5 in.
D. 10 in.
E. None correct
Answer:
b) 9 in
Step-by-step explanation:
To find median arrange the data in ascending order and count the number of data's. if the total number of data is odd number, then (n/2)th term is the median.
If the total number of data is even, then Average of (n/2)th term and (n/2)+1 th term is the median
Ascending order:
6, 8, 8 , 8 , 9 , 9 , 10 , 11 , 12 , 16
total = 10. so even number
Median = average of 5th term and 6th term
=(9+9)/2
= 18/2
= 9
What is the pattern between these numbers 49, 47, 52, 50, 55
Answer:
subtract 2, and add 5 repeatedly
Step-by-step explanation:
49, 47, 52, 50, 55
subtract 2, and add 5 repeatedly
49-2=47
47+5=52
52-2=50
50+5=55
55-2=53
53+5=58
and so on........
The pattern between these numbers is first subtracting 2 and then adding 5.
How to find the pattern between a sequence ?To find a pattern between a given sequence of numbers observe the sequence carefully and try to think about different arithmetic operations that can be suited for.
According to the given question we have to find pattern between these numbers 49, 47, 52, 50, 55.
After observing this sequence of numbers we can understand than they are in the sequence pattern of subtracting 2 and adding 5.
Now,
49 - 2 = 47.
47 + 5 = 52.
52 - 2 = 50.
50 + 5 = 55.
learn more about pattern between numbers here :
https://brainly.com/question/5214716
#SPJ2
If f(x) = 5x + 40, what is f(x) when x = –5? –9 –8 7 15If f(x) = 5x + 40, what is f(x) when x = –5? –9 –8 7 15
Answer:
15
Step-by-step explanation:
The value of f(x) when x = -5 is 15
How to determine the valueFrom the equation
f(x) = 5x + 40
Substitute the value of x = -5
We have,
f(x) = 5(-5) + 4=
f(x) = -25 + 40
f(x) = 15
Therefore, the value of f(x) when x = -5 is 15
Learn more about functions here:
https://brainly.com/question/4025726
#SPJ9
The graph of y = f(x) is shown below. Find the value of f(5)
Answer:
5
Step-by-step explanation:
WHen f(x) = f(5)
x=5
therefore y = 5
Hope that helped!!! k
Answer:
5
Step-by-step explanation:
Asking for f(5) is the same as asking for the value of f(x) when x = 5.
So we're looking for the y-value our graph gives when x = 5.
Find 5 on the x-axis and trace the line up to the graph, and then left to find the y-value. Here, it happens to be 5.
A city currently has 60 family-owned restaurants. In the future, it is estimated that the number of those restaurants will decline at a rat of 18% per year. Based on that estimate, what is the fewest number of years it will take for there to be less than 20 family-owned restaurants in the city? A.1 B. 3 C. 4 D. 6
The correct answer is D. 6
Explanation:
To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:
First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication
[tex]60 = 100[/tex] %
[tex]x = 18[/tex]%
[tex]x 100 = 60 x 18[/tex]
[tex]x = \frac{1080}{100}[/tex]
[tex]x = 10.8[/tex] Number of restaurants that were closed
[tex]60-10.8 = 49.2[/tex] New total
Second-year - 49.2 restaurants- Repeat te process
[tex]x = \frac{49.2x 18}{100}[/tex] Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)
[tex]x = 8.8[/tex]
[tex]49.2 - 8.8 = 40.4[/tex] New total
Third-year- 40.4 restaurants
[tex]x = \frac{40.4 x 18}{100}[/tex]
[tex]x = 7.2[/tex]
[tex]40.4-7.2 = 33.2[/tex] New total
Fourth-year- 33.2 restaurants
[tex]x = \frac{33.2x 18}{100}[/tex]
[tex]x = 6.3[/tex]
[tex]33.2- 6.3= 26.9[/tex] New total
Fifth-year- 26.9 restaurants
[tex]x = \frac{26.9 x 18}{100}[/tex]
[tex]x = 4.8[/tex]
[tex]26.9-4.8 = 22.1[/tex] New total
Sixth-year- 22.1 restaurants
[tex]x = \frac{22.1x 18}{100}[/tex]
[tex]x= 3.96[/tex]
[tex]22.1-3.9 = 18.1[/tex]
According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.
if we represent the length of a line by a, how may we represent the length of a line that is 3 inches shorter. If the combined length of the two lines is 15 inches, what is the length of each line?
Answer:
The lines' lengths are: 8 inches and 5 inches.
Step-by-step explanation:
Calling "a" the length of the line, a line that is 3 inches shorter can be written in math terms as:
a - 3
If the combined (added) length of these two lines is 15 inches, then we can write:
a + (a - 3) = 15
a + a - 3 = 15
2 a - 3 = 15
2 a = 15 + 3
2 a = 18
then
a = 18/2 = 9
Therefore, the length of one line is 8 inches, and the length of the shorter line is:
8 - 3 = 5 inches
PLEASE HELPPP! Write the quotient
as a mixed number.
32 divided by 5 = 6 R2
Answer:
[tex]6 \frac{2}{5} [/tex]
Step-by-step explanation:
6 is the whole number, while 2 is the numerator and 5 is the denominator.
Which expression is equivalent to –2(5x – 0.75)? 10x – 0.75 10x + 0.75 –10x – 1.5 –10x + 1.5
Answer:
D
Step-by-step explanation:
i got it right
Answer: D -_-
Step-by-step explanation: Because its on edge
David needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee of $150 plus an hourly fee of $50. write an equation for P, in terms of t,t, representing the amount of money David would have to pay to use the studio for t hours.
Answer:
P = 150 + 50t
Step-by-step explanation:
Rate per hour = $ 50
Rate for 't' hours = 50 * t = 50t
Initial fee = $ 150
P = Initial fee + rate for t hours
P = 150 + 50t
Answer:
0=150
1=200
2=250
3=300
P= 50t +150
Whats the right answer?
Answer:
A
Step-by-step explanation:
Hello, I assume that the quadratic function f has real coefficients, so this is something like, a, b and c being real numbers
[tex]f(x)=ax^2+bx+c[/tex]
If a complex number z is a zero of f ( meaning solution of f(x)=0) then
[tex]\overline z[/tex] which is the conjugate of z is a zero too, because
[tex]\text{if } f(z)=0=az^2+bz+c \text{ then}\\\\\overline {f(z)}=0=a\overline z ^2 +b \overline z + c\\\\\text{meaning } f(\overline z)=0[/tex]
Here, we know that [tex]\sqrt{7}+5i[/tex] is a solution, so
[tex]\overline {\sqrt{7}+5i}= \sqrt{7}-5i[/tex] is a solution too.
Thank you
write down the unit digit for each of the following square first 78 pawer 2
Answer:
4
Step-by-step explanation:
Since 78² then 8² = 64 which indicates 4 is the unit digit
solve for q 3(q+4/3)=2
Answer: Q= -0.6 or -2/3
Step-by-step explanation:
cos a cosec a Vseca - 1 = 1
Answer:yes 1 =-1
Step-by-step explanation:
Gray gob you are correct
Brenden runs six times a week for thirty minutes and lifts three times a week for twenty minutes. Write a mathematical expression for the number of hours Brenden works out in a week.
Answer:
H= x(6)+ y(6)Step-by-step explanation:
Let the number of hours for running be x
And the number of hours for lifts be y
Let the total hours for work out be H
Given that
x= 30 min* 6= 180 min =3 hours
y= 20 min *6 =120 min= 2 hours
H= 30(6)+ 20(6)
H= 180+120
H= 3+2
H= 5 hours of work out for the week
The four angles in a quadrilateral are in the ratio 2:5:6:7. Find the smallest angle in the quadrilateral?
Answer:
36
Step-by-step explanation:
Quadrilateral's angels always add up to 360. Thus, 2x+5x+6x+7x=360
20x=360 (divide both sides by 20)
x = 18
To find the smallest angle, plugin x into 2x.
2(18)=36
The length of a rectangle is 7 inches less than its width. The perimeter of the
rectangle is 54 inches. Find the length and the width of the rectangle. Explain your
reasoning.
Answer:
8 in.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(L + W)
Value of P = 46.
Length is 7 inches less than the width. This translates to L = W - 7
Substitute L = W - 7 into the perimeter equation, you get
46 = 2(W - 7 + W)
46 = 2(2W - 7)
46 = 4W - 14
4W = 60
W = 60 / 4 = 15 in
L = W - 7 = 15 - 7 = 8 in
The width and length of the rectangle in inches are 17 and 10 respectively.
What is perimeter ?Perimeter is the sum of the lengths of all the sides of a given plane figure.
According to the given question the length of a rectangle is 7 inches less than its width.
Assuming the width of the rectangle is x inches.
∴ From the given data length of the rectangle is ( x - 7) inches.
Given perimeter is 54 inches.
We know perimeter of a rectangle is 2( length + breadth).
∴ 2{ x + ( x - 7) } = 54.
2 { 2x - 7 } = 54
4x - 14 = 54
4x = 54 + 14
4x = 68
x = 17.
So, the width of the rectangle is 17 inches and length of the rectangle is (17 - 7) inches which is 10 inches.
learn more about perimeter here :
https://brainly.com/question/6465134
#SPJ2
if m and n vary directly and m=3 when n=2, what is the value of m when n=4
no
Answer:
m = 6
Step-by-step explanation:
We know that m and n vary directly and that m = 3 when n = 2. How would we find m when n = 4? For starters, we can see that the value of n doubled (we know this because 2 doubled is 4), and since m and n vary directly, when n doubles, so does m so the answer is m = 3 * 2 = 6.
Multiply 546.1 x 0.52 =
Answer:
283.972
Step-by-step explanation:
i just know
Answer: 283.972
Step-by-step explanation: You have to use long multiplication to evaluate the equation.
I hope this helps you out.
What is 1+1×80+5-23+456×47+56784-2647= Put the answer in Standard form
Answer:
[tex]7.5632 *10^{4}[/tex]
Step-by-step explanation:The simplification
1+1×80+5-23+456×47+56784-2647
=1+80+5−23+(456)(47)+56784−2647
=81+5−23+(456)(47)+56784−2647
=86−23+(456)(47)+56784−2647
=63+(456)(47)+56784−2647
=63+21432+56784−2647
=21495+56784−2647
=78279−2647
=75632
Converting 75632 into standard form [tex]7.5632 *10^{4}[/tex]
a rectangular prism is 12 cm long 6 cm wide and 5cm high what's the volume of the rectangular prism
Answer:
360
Step-by-step explanation:
rectangular prism volume = Width * Length * Height
Width = 5
Length = 12
Height = 6
volume = 360
The volume of the rectangular prism is of 360 cubic centimetres.
------------------------------
The volume of a rectangular prism with length l, width w and height h is given by:
[tex]V = lwh[/tex]
------------------------------
In this problem:
12cm long means that [tex]l = 12[/tex]6 cm wide means that [tex]w = 6[/tex]5 cm high means that [tex]h = 5[/tex].Thus, the volume, in cubic centimetres, is of:
[tex]V = 12 \times 6 \times 5 = 360[/tex]
A similar problem is given at https://brainly.com/question/23756783
A customer brings a box with a mix of integers as inputs to a function machine. She wants you to program a function machine so that the output is always negative. Your manager suggests -x/2 - 10 . Did the manager make a good suggestion? Are there any inputs that will not meet the customer’s needs? Explain.
Answer:
The manager did not make a good suggestion.
Any values of x that are less than or equal to -20 will result in a non-negative output and will not meet the customer's needs.
The number of customers to visit a local small businesses 51,200 and has been continuously declining at a rate of 3.8 each year what is the approximate number of customers that visit the business in 14 years
Answer:
=30076 customers
Step-by-step explanation:
Number of customer= 51,200
rate of declination=3.8 %= 0.038
We will use the expresion below in calculating the approximate number of customers that visit the business in 14 years.
A=Pe^(rt)
Where P=initial amt,
r=annual rate of growth or decline,
A=amount after t years.
37800=Pe^.017t
51200=Pe^0.038
P= 51200/e^(0.038*14)
But e^(0.038*14)= 1.7023
P= 51200/1.7023
P=30076
Approximate number of customers that visit the business in 14 years≈30076