Answer:
216
Step-by-step explanation:
Volume of prism = BH
B -> Base area
Area of base:
b = 10 mi
h = 3.6mi
Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]
[tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]
H = 12 mi
Volume of prism = 18 * 12 = 216 cubic mi
What is the range of the function graphed below?
Answer:
(- infinity, +2]
Step-by-step explanation:
the range is the interval of numbers for possible y (result) values of a function.
so, what y values are possible here ?
clearly it goes from the very bottom, negative infinity, up to 2.
I see no way for other y values (> 2).
and usually we write such an interval with an open end bracket "(" or ")" on the side of infinity, because infinity is not a value and can never be reached. and the included end bracket "[" or "]" is used on an end, where we have a specific (and really included) value.
Someone please help me fast !!
3.1x^3-2.4x² +6x – 3 = 4x² + 3x +2
solving problem
Answer:
The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2, are;
x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i
Step-by-step explanation:
The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2
Which gives;
3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0
3.1·x³ - 6.4·x²+ 3·x - 5 = 0
Factorizing online, we get;
3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0
Therefore, the possible solutions are;
x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0
The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;
x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i
Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2, are;
x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.
the product of a number and five is eight
Answer:
Assuming x is the number, then [tex]x=1.6[/tex]
Step-by-step explanation:
If the product of a number and 5 is 8, the equation becomes:
[tex]5x=8[/tex] (assuming x is the unknown number).
We can isolate the variable x by dividing both sides by 5.
[tex]5x\div5 = 8\div5\\x = 1.6[/tex]
Hope this helped!
for the function g(x)=3-8(1/4)^2-x
a) State the y-intercept
b) State the equation of the horizontal asymptote
c) State whether the function is increasing or decreasing.
d) State the domain and range
e) Sketch the graph
Could anyone help?
Using function concepts, it is found that:
a) The y-intercept is y = 2.5.b) The horizontal asymptote is x = 3.c) The function is decreasing.d) The domain is [tex](-\infty,\infty)[/tex] and the range is [tex](-\infty,3)[/tex].e) The graph is given at the end of the answer.------------------------------------
The given function is:
[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]
------------------------------------
Question a:
The y-intercept is g(0), thus:
[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]
The y-intercept is y = 2.5.
------------------------------------
Question b:
The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]
--------------------------------------------------
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]
Thus, the horizontal asymptote is x = 3.
--------------------------------------------------
Question c:
The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.
--------------------------------------------------
Question d:
Exponential function has no restrictions in the domain, so it is all real values, that is [tex](-\infty,\infty)[/tex].From the limits in item c, the range is: [tex](-\infty,3)[/tex]--------------------------------------------------
The sketching of the graph is given appended at the end of this answer.
A similar problem is given at https://brainly.com/question/16533631
A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.
Answer:
$ 800
Step-by-step explanation:
number of books sold = 50
money earned = $ 890.00
profit = $ 90.00
Then the price of 50 books will be (money earned) - (profit)
= 890 - 90
= 800
So, the cost of 50 books is $ 800
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
necesito ayuda con esto
Answer:
nacho taco Guadalupe Juan ching chong
Step-by-step explanation:
Noob
a shop has a sale and reduces all the prices by 15k in naira.find the sale price of an article of an article marked at 750naira
Answer:
Question (i):
Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6
Price after reduced = Rs 40 - Rs 6 = Rs 36
Answer: Rs 36
-
Question (ii):
Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60
Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34
Answer: Rs 17.34
-
Some food is able to keep 150 students fed at camp for 5 days,
How many days will the food last for if there are 100 students,
I know its 7.5 but why do people x the 150 and 5 i dont get it
Answer:
x=7.5
Step-by-step explanation:
s is for students
d is for days
150 s take 5 days to finish food
if there are 100 s how many days will the same amount of food take
so 150 students × 5 days = 750 equation 1
100 students × x days= 100x equation 2
750 from 1 = 100 x from 2
750÷100=x
x=7.5 days
1. Find 3 consecutive integers whose sum is 33.
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
10, 11, 12
Step-by-step explanation:
For problems involving consecutive integers, I like to consider their average value. For three consecutive integers, their average will be the middle one. It will be ...
average = sum / (number of numbers) = 33/3 = 11
The middle number is 11, so the numbers are ...
10, 11, 12
_____
If you want to write an equation, you can let x represent the middle number. Then the other two are x-1 and x+1, and their sum is ...
(x-1) +(x) +(x+1) = 33 = 3x
x = 11 ⇒ x-1 = 10, x+1 = 12
The perimeter of a rectangle is 250 yards. The length is ten less than twice the width. The rectangle's:
A. length is 80 yards and the width is 45 yards.
B. length is 115 yards and the width is 10 yards.
C. length is 70 yards and the width is 60 yards.
Answer:
A lengthy is 89yards and the width is 45yards
a wall of a building is 36 inches wide. sixteen inches is concrete, 14 inches is brick, and 6 inches is limestone. what fraction of the wall is brick?
Answer:
878
Step-by-step explanation:
that is because i know what i am doing.
10. The slope of the line passing through (3, 3)
and (-3, 3) is:
Answer:
0
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= (3-3)/(-3-3)
= 0/-6
=0
Answer:
m = 0
Step-by-step explanation:
Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
[tex]\frac{3-3}{3-(-3)}\\\\ \frac{0}{6}\\\\0[/tex]
Therefore, the slope of the line is 0.
*Note that if the y values do not change as x changes, it is evidence that the slope is 0.*
help me please I'm bad at math
Answer:
123
Step-by-step explanation:
Large rectangle:
8 - 3 = 5
5 × 4 × 3 = 20 × 3 = 60
Smaller rectangle:
3 × 3 × 7 = 9 × 7 = 63
Both:
63 + 60 = 123
Hope this helped.
The midpoint of line segment AB is (1,2). if the coordinates of A are (1,0) what are the coordinates of B
The required coordinate of B will be at (1, 4)
When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;
[tex]M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ][/tex] where:
[tex]X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}[/tex]
From the question, we are given the following coordinate points
[tex]X=1\\x_1=1\\[/tex]
Get x₂;
[tex]X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1\\[/tex]
Get y₂;
[tex]Y =\frac{y_2+y_1}{2}\\2 =\frac{y_2+0}{2}\\2 \times 2=y_2+0\\4=y_2+0\\y_2=4\\[/tex]
Hence the coordinate of B will be (1, 4)
Learn more about the midpoint here: https://brainly.com/question/18315903
which of the following equations correctly represents a circle centered at the origin with a radius of 5
Answer:
x² + y² = 25
Step-by-step explanation:
The standard form of a circle is (x - h)² + (y - k)² = r² where (h, k) is the center point and r is the radius. In this case, the center is the origin which has coordinates of (0, 0) so h = 0 and k = 0. We know that the radius is 5 so r = 5. Therefore, after plugging in the values of h, k, and r, we get that the answer is x² + y² = 25.
What is the standard form of the points (-3,4) (2,-6)
The standard form equation of the line connecting the two points is [tex]2x + y = -2[/tex]
Linear equation in a standard form is given as [tex]Ax + By = C[/tex]
where,
A, B, and C are constants or numbers
x and y are the variables.
To solve this problem, the following steps would be taken:
Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)
[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
where,
[tex](x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)[/tex]
Substitute
[tex]slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2[/tex]
Step 2: Find the y-intercept (b) of the line by substituting [tex](x, y) = (-3,4)[/tex] and [tex]m = -2[/tex] into [tex]y = mx + b[/tex] (slope-intercept form)
[tex]4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2[/tex]
Step 3: Write the equation of the line in slope-intercept form by substituting [tex]m = -2[/tex] and [tex]b = -2[/tex] into [tex]y = mx + b[/tex]
[tex]y = -2x + (-2)\\y = -2x - 2[/tex]
Step 4: Rewrite the equation in standard form [tex](Ax + By = C)[/tex]
[tex]y = -2x - 2\\[/tex]
Add [tex]2x[/tex] to both sides
[tex]2x + y = -2x - 2 + 2x\\2x + y = -2[/tex]
The standard form equation of the points (-3,4) and (2,-6) is [tex]2x + y = -2[/tex]
Learn more about standard form of two points of a linear equation here:
https://brainly.com/question/18446164
Find the measure of each side indicated. Round to the nearest tenth.
A) 19.8
C) 24.9
B) 27.2
D) 25.3
Answer:
D. 25.3
Step-by-step explanation:
tan∅ = opposite over adjacent
Step 1: Write equation
tan66.5° = x/11
Step 2: Multiply both sides by 11
11tan66.5° = x
Step 3: Evaluate
x = 25.2983
x ≈ 25.3
Answer:
[tex]\huge\boxed{x = 25.3}[/tex]
Step-by-step explanation:
Tan θ = opposite / adjacent
Where θ = 66.5 , opposite = x and adjacent = 11
Tan 66.5 = x / 11
2.3 * 11 = x
25.3 = x
OR
x = 25.3
dy
If x= 15t2 and y= 10t2, find
dx
Answer: x' = 30t
y' = 20t
Step-by-step explanation:
To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.
x = 15t²
x' = 2 · 15t²⁻¹
= 30t¹
= 30t
y = 10t²
y' = 2 · 10t²⁻¹
= 20t¹
= 20t
find HCFof
6x^2y and 9xy
Step-by-step explanation:
1st expression= 6x^2y
2nd expression= 9xy
HCF= 3xy
Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola
Answer:
(1, 0)
Step-by-step explanation:
x = -b / 2a
x = 2 / 2(1)
x = 2 / 2
x = 1
y = x^2 - 2x + 1
y = (1)^2 - 2(1) + 1
y = 1 - 2 + 1
y = -1 + 1
y = 0
vértice: (1, 0)
th
A sum of Rs. 700 grows by 1/20 of itself every year. At what time would it amout to Rs.1050?
a) 8 years
b) 10 years
c) 12 years d) 15 years
Answer:
b) 10 yearsStep-by-step explanation:
1/20 of 700: 1/20•700 = 35
700 + n•35 = 1050
n•35 = 350
n = 10
-7m-3(-5m-4)=-61
My answer is always decimals??? Its weird…please help
Answer:
M=-73/8
Step-by-step explanation:
The pepper plant has \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it.
Answer:
6 pepper fruits
Step-by-step explanation:
Given the following :
Fraction of pepper in terms of tomato = 2/3
Number of fruits on pepper plant = 9
Therefore number of pepper fruits on pepper plant:
2/3 * number of tomato fruits
2/3 * 9
(2 * 3) = 6
6 pepper fruits.
7t + 6 + 3v + 6v
Hey can someone help ne
Answer:
7t + 6 + 9v
Step-by-step explanation:
7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)
7t + 6 + 9v
Hope this helps, thank you :) !!
Answer:
7t+6+9v
Step-by-step explanation:
7t+6+3v+6v
7t has no opponent it is =7t
6 is on it own =6
3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v
so ur ans. is =7t+6+9v
what is the diamater of a circle
the area of a circle is 144π m^2
Answer:
24 meters
Step-by-step explanation:
The area of a circle can be found using the following formula.
[tex]a=\pi r^2[/tex]
We know that the area is 144pi m^2.
[tex]a= 144\pi m^2[/tex]
Substitute 144pi m^2 in for a.
[tex]144\pi m^2= \pi r^2[/tex]
We want to find the diameter. First, we must find the radius. We have to get the variable, r, by itself.
Divide both sides of the equation by pi.
[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]
[tex]144\pi m^2/ \pi = r^2[/tex]
[tex]144 m^2= r^2[/tex]
The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]
[tex]\sqrt{144 m^2} =r[/tex]
[tex]12 m= r[/tex]
The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.
[tex]d= r*2[/tex]
The radius is 12 m.
[tex]d= 12 m*2[/tex]
Multiply
[tex]d= 24 m[/tex]
The diameter of the circle is 24 meters.
Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 5 feet and the sides have a length of 12 feet. He also
measured one diagonal to be 13 feet. What is the length of the other
diagonal?
O A. 12 feet
B. 13 feet
O C. 5 feet
O D. 17 feet
Answer:
13
Step-by-step explanation:
The diagonals of rectangle are equal in length.
PLEASE HELP! Simplify 2x^2+4xy+2y^2
Answer:
(x+y)(2x+2y)
Step-by-step explanation:
=2x^2 + 2xy + 2xy + 2y^2
=2x(x+y) + 2y(x+y)
=(x+y)(2x+2y)
factorize
2ab+abk-2m-mk
Answer:
=2ab +abk -2m- mk
= ab(2+k) -m(2+k)
=(2+k)(ab-m)
Step-by-step explanation:
Okay I need ur help pls very urgent..
So I have to match the following: .complement of 50degres
Supplement of 145degress
.complement of 27degress
Supplement of 50 degrees to either
130degress
63degress
35degress
And 40degress
So I gotta match the following the first ones on top match them to these ones here on the bottom hope you can help me and very sorry..I’m just really bad with maths.
Thanks..
Supplementary angles are those which sum upto 180°
[tex] \angle 1+\angle2=180^{\circ}[/tex]
Complementary are those which sum to 90°
[tex] \angle 1+\angle2=90^{\circ}[/tex]
so if you know one angle, you can find other.
Answer:Look at my explaination
Step-by-step explanation:The complement of 50 is 90-50 giving us 40degrees
The supplement of 145 is 180-145=35 degrees
The compliment of 27 degrees is 90-27=63 degrees
The supplement of 50 degrees is 180-50=130 degrees