Answer:
The distance from Durham to Fuquay-Varina is 30 miles.
Step-by-step explanation:
Given that the cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle, and the distance from Raleigh to Durham is 24 miles, while the distance from Raleigh to Fuquay-Varina is 18 miles, to determine what is the distance from Durham to Fuquay-Varina, the following calculation must be performed, applying the Pythagorean theorem:
18 ^ 2 + 24 ^ 2 = X ^ 2
324 + 576 = X ^ 2
√ 900 = X
30 = X
Therefore, the distance from Durham to Fuquay-Varina is 30 miles.
Volume of a hexagonal prism with a base side length of 2 inches and a height of 8 inches, the prism is regular. Also it would be a big help if you could calculate the lateral area and the total area. Thanks so much
Answer:
V≈83.14
AL=96
Surface A≈116.78
Base A≈10.39
Step-by-step explanation:
Step-by-step explanation:
base area of hexagonal prism =
6× ½×(2)(2)× sin 60° (regular prism)
= 12×½√3 = 6√3 sq. inches
Volume = base are x height
= 6√3 x 8 = 48√3 cu. inches
or 83.14 cu. inches
the lateral area = 6 × (2×8) = 96 sq. inches
total area = 2×(6√3) + 96
= (12√3 + 96) sq. inches
or 116.78 sq. inches
pls help
The distance from the Earth to the Sun is approximately 93,000,000 miles. What is this distance expressed in scientific notation? Answer options with 5 options A. 9.3 times 10 Superscript 6 Baseline miles B. 9.3 times 10 Superscript 7 Baseline miles C. 9.3 times 10 Superscript 8 Baseline miles D. 93 times 10 Superscript 6 Baseline miles E. 93 times 10 Superscript 7 Baseline miles
Answer:
B. 9.3 x 10^7
Step-by-step explanation:
9.<3<0<0<0<0<0<0.
Move the decimal point until there is only one whole number left.
Angle rides her bicycle 2/3 mile to school on Friday she took a shortcut so that the ride to school was 1/9 mile shorter how was angle bicycle ride on Friday
Answer:
5/9 miles
Step-by-step explanation:
ALGEBRA PROBLEM PLEASE HELP
Answer:
B, C, and F are functions
Step-by-step explanation:
In a geometric sequence, g(3) = 1 and g(8) = 32. Which recursive definition produces this geometric sequence?
Step-by-step explanation:
a geometric sequence means every new element is created by multiplying the previous element always with the same number.
a n = a n-1 * number
a n = a1 * number^(n-1)
=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)
=> 32/1 = number^5
=>
[tex]number = \sqrt[5]{32} [/tex]
number = 2
and what is the starting a1 ?
it must satisfy e.g. a3
1 = a1 * 2^2
=> a1 = 1/4
therefore, the requested definition looks like
g(1) = 1/4
g(n) = g(n-1) * 2
Solve the following expression when
x = 7 and y = 2
(y + 2) · (x + 4 – 5)
Answer:
24
Step-by-step explanation:
4 x 6 = 24
Multiply (2.3 x 10^-5) (3.1 x 10^12
Answer:
71300000
Step-by-step explanation:
See the image below:)
The profit P, in millions, of Company A is given by the equation P=7.5x +17, where x is the number of years in business. The profit P, in millions, of Company B is given by the equation P=4.1x +12. Write a polynomial equation to give the "difference" in profit D after x years.
Answer:
The polynomial equation to give the difference in profit D after x years is:
D = 3.4x + 5Step-by-step explanation:
To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:
Profit Company A = 7.5x +17Profit Company B = 4.1x +12Difference between profits (D) = 7.5x +17 - (4.1x + 12)And we operate:
D = 7.5x + 17 - 4.1x - 12D = 7.5x - 4.1x + 17 - 12D = 3.4x + 5We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:
Profit Company A = 7.5x +17Profit Company A = 7.5 * (3) +17Profit Company A = 22.5 +17Profit Company A = 39.5 millionsProfit Company B = 4.1x + 12Profit Company B = 4.1 * (3) + 12Profit Company B = 12.3 +12Profit Company B = 24.3 millionsNow, we subtract the two values:
Difference between profits = 39.5 millions - 24.3 millionsDifference between profits = 15.2 millions.At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):
D = 3.4x + 5D = 3.4 (3) + 5D = 10.2 + 5D = 15.2As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.
Answer:
D=0.5x+2
$7000000
Step-by-step explanation:
I don’t understand it please help
Answer:
Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.
Step-by-step explanation:
f(3) = 16
f(4) = 21
f(5) = 26
f(8) = 41
Please do mark as brainliest. Hope this helps! :)
The measure of an angle is 14.2°. What is the measure of its complementary angle
Answer:
75.8º
Step-by-step explanation:
The sum of complimentary angles is 90º
c + 14.2 = 90
Subtract 14.2 from both sides
c = 90 - 14.2
c = 75.8º
How do you do this???
Given tan Ф = 4/5, find all other trig functions.
let : y = Opponent side, x= Adjecent side
and r= hypotenuse
tan = 4/5
y/x = 4/5 => y =4, x=5
so, r = √4²+5²=√16+25=√41
sin = y/r = 4/ √41
cos = x/r = 5/√41
tan = y/x = 4/5
csc = r/y = √41 /4
sec = r/x = √41 /5
cot = x/y = 5/4
 Please answer correctly !!!!Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Hello! Your answer would be, C)
Step-by-step explanation:
Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥
1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.
Answer:
depends on the cases. they all have different uses
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. which is the better deal for you?
Answer:
drip
Step-by-step explanation:
What inequality does the number line graph
represent?
Answer:
-4
-4 and so on
Convert the degree measure into radians.
330°
A 11pi/6
B 11pi/3
C 6pi/7
D 4pi/3
Answer: A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
we have 2pi = 360°
=> 2pi× 330/360 = 360° × 330/360
=> 11pi/6 = 330°.
Please keep asking if you still have trouble understanding
what is the value of 8 in 293,581
p and q are both prime numbers.
They are each less than 22
Give an example where p+q is odd but not prime.
You must only write the two numbers in the answer box.
0
Answer:
p = 2
q = 7
..................
The two numbers are,
⇒ p = 13 and q = 2
What are Prime numbers?
Prime number is a whole number greater than 1 whose only factors are 1 and itself.
Here, p and q are both prime numbers and each less than 22.
Now, Both number p and q are prime numbers.
Let p = 13 and q = 2
Clearly, The number 13 and 2 both are prime numbers and less than 22.
Hence, p + q = 13 + 2 = 15
Since, 15 is an odd number but not prime.
So, The two numbers are,
p = 13 and q = 2
Learn more about the prime numbers visit:
https://brainly.com/question/145452
#SPJ2
Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit
The required equation will be y ≤ 1/3 x - 4
The standard form of a linear equation is y = mx + b
m is the slope of the lineb is the y-interceptUsing the coordinate points (0, -4) and (3, -3)
m = -3+4/3-0
m = 1/3
Since the line cross the y-axis at y = -4, henc b = -4
Get the required equation;
y = mx + b
y = 1/3x - 4
Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4
Learn more inequality here: https://brainly.com/question/11613554
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
25, 29, 58, 27, 23, 26, 27, 25, 28, 24
Answer:
58
Step-by-step explanation:
It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.
Answer:
the outlier is 58. it skews the data
Step-by-step explanation:
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope= -10/3, y- intercept=5
Answer:
y = -10/3x + 5
Step-by-step explanation:
Hi there!
We are given that a line has a slope of -10/3, and a y intercept of 5
We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!
Starting with the slope, substitute -10/3 as m in y=mx+b
y = -10/3x + b
Now for the y intercept, substitute 5 as b in the equation
y = -10/3x + 5
Hope this helps!
See more on this topic here: https://brainly.com/question/17788099
What is the dontain of the function graphed below?
I’ll give brainliest to the real answer
Answer:
the third one.........
[-2,0] and (7,oo)
It is the only one that matches
HOPE This helps!
please help to solve this
Answer:
☥ [tex] \underline{ \underline{ \red{\large{\tt{S \: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]
Let Cost Price ( CP ) be x☃ [tex] \large{ \tt{MP = x + 30\% \: of \: x}}[/tex]
➝ [tex] \large{ \tt{x + \frac{30}{100}x }}[/tex]
➝ [tex] \large{ \tt{x + 0.3x }}[/tex]
➝ [tex] \large{ \tt{1.3x}}[/tex]
☂ [tex] \large{ \tt{SP = 1.3x - 15\% \: of \: 1.3x}}[/tex]
⇾ [tex] \large{ \tt{1.3x - \frac{15}{100} \times 1.3x}}[/tex]
⇾ [tex] \large{ \tt{1.3x - 0.195x}}[/tex]
⇾ [tex] \large{ \tt{1.105x}}[/tex]
☼ [tex] \large{ \tt{Profit = SP - CP}}[/tex]
⟶ [tex] \large{ \tt{1.105x - x}}[/tex]
⟶ [tex] \large{ \tt{0.105x}}[/tex]
♨ [tex] \large{ \tt{P\% = \frac{Profit}{CP} \times 100 \%}}[/tex]
⤑ [tex] \large{ \tt{ \frac{0.105x}{x} \times 100\%}}[/tex]
⤑ [tex] \boxed{ \large{ \purple{\tt{10.5\%}}}}[/tex]
Hence , Profit % = 10.5 %
♕ Hope I helped ! ♡
☄ Have a wonderful day / night ! ♫
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
20 points help me plzzzzzzzzzzzzzzzzzzzz
Answer:
D. 4, B. 4, C. 8
Step-by-step explanation:
The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles. (The actual average is 3.88.)
The most number of miles run (look for tallest column of dots) is 4.
The number of people who ran is 8 (count the dots above the 5-mile label).
Math question!
Marta, a jeweler, has 78 ounces of gold. She needs
25 of an ounce for each pendant. How many pendants can she make? Show your thinking!
Answer:
3.12
Step-by-step explanation:
if you are in an algebra class write the let statements x = number of pendants
25x = 78 (divide by 25 on both sides)
x = 3.12
if you are not in an algebra class then just divide 78 by 25
Please help me with this
Answer:
(3x6) / 6 is the correct answer
Answer:
(3. 6)/618/63Thus 3 is the answer to the question
2x^2-2x-4=0 solve for x
Item 2
Mia has $7 worth of quarters.
How many quarters does Mia have?
4 quarters
7 quarters
14 quarters
28 quarters
What is the solution to this system of equations?
3x-2y=5
x+2y=7
x=_, y=_
Step 1) Solve the second equation for
x
:
x
+
3
y
=
−
5
x
+
3
y
−
3
y
=
−
5
−
3
y
x
+
0
=
−
5
−
3
y
x
=
−
5
−
3
y
Step 2) Substitute
−
5
−
3
y
for
x
in the first equation and solve for
y
:
3
(
−
5
−
3
y
)
−
2
y
=
7
−
15
−
9
y
−
2
y
=
7
−
15
−
11
y
=
7
15
−
15
−
11
y
=
15
+
7
0
−
11
y
=
22
−
11
y
=
22
−
11
y
−
11
=
22
−
11
−
11
y
−
11
=
−
2
y
=
−
2
Step 3) Substitute
−
2
for
y
in the solution to the second equation at the end of Step 1 and calculate x:
x=−5−(3×−2)
x=−5−(−6)
x=−5+6
x=1
The solution is x=1 and y=−2
Answer:
Step-by-step explanation:
Please help... this is overdue and i need to get it done- (20 points +brainly)
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. Make a ratio table of equivalent ratios to represent this ratio relationship. Your ratio table must show at least four different ratios. Include a copy of the ratio table in your answer.
Answer: 6/192, 1/32, 2/64, 3/96, etc.
Step-by-step explanation:
The scale drawing says that the length is 6 inches, and the actual length is 16 feet. First, we need to get both values into the same unit. 16 feet is 192 inches. So our base ratio is 6/192, or 1/32. Equivalent Ratios include 2/64 and 3/96. :)