Answer:
80m^3
Step-by-step explanation:
Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3
Add (6.3 x 104) + 38,000
Express your answer in both standard form and scientific notation. the 4 is above the 10
The given expression when written in standard form gives; 10.1 * 10⁴
How to write number in standard form?
A number written in standard form is usually as A * 10ⁿ
where;
A is a number bigger than or equal to 1 and less than 10
Now, we are given;
(6.3 * 10⁴) + 38000
⇒ (6.3 * 10⁴) + (3.8 * 10⁴)
Using distributive property of equality, we have it in standard form as;
(6.3 + 3.8) * 10⁴
⇒ 10.1 * 10⁴
Read more about standard form at; https://brainly.com/question/17939013
Expand
(1 + x)(x^2 - 5x- 6)
Answer:
x3−4x2−11x−6
Stp-by-step explanation:
(1+x)(x2+−5x+−6)
=(1)(x2)+(1)(−5x)+(1)(−6)+(x)(x2)+(x)(−5x)+(x)(−6)
=x2−5x−6+x3−5x2−6x
=x3−4x2−11x−6
Help me understand this is confusing
Answer:
2√5
Step-by-step explanation:
(1/2) √80
Figure out the biggest number that can be squared by 80 in this case it's 16
(1/2) √(16 x 5)
since the square root of 16 is 4 put the 4 on the outside and leave 5 in since it can't be squared.
(1/2) 4√5
multiply (1/2) by 4 which equals 2
2√5
I hope this helps!
I Need help on this question .
Answer:
x^2-y^2
Step-by-step explanation:
Foil (x+y)(x-y)=
x^2-xy+xy-y^2=
x^2-y^2=
11. Suppose ∆ ≅ ∆. Which choice below shows corresponding parts to congruent triangles that are
congruent? Explain your answer.
Answer:
CStep-by-step explanation:
Cross out B and D, because angle D does not correspond with Y and Angle F does not correspond with X (order matters).
It comes down to either A or C, so look at the sides.
DF does not correspond to XY, again, the order it is displayed matters.
D is the first letter and F is the last, while X is the 2nd letter of the triangle, while it should be the first letter to correspond with D
Thus by Process of Elimination the answer is C.
(Also DF DOES correspond with WY)
A chef measured the weight in pounds of 12 bags of fruits that she purchased from a
vendor.
The weights in pounds are shown.
Find the median weight.
Answer:
12
Step-by-step explanation:
Put numbers in order from least to greatest.
8,8,9,9,10,11,13,14,14,14,15,16.
Find the number in the middle.
Because 12 is an even number we have to take the two middle numbers, in this case 11 and 13, add them and then divide that number by 2.
11+13= 24
24 ÷ 2 =12
So the median weight is 12.
Answer:
Step-by-step explanation:
The first thing you do is put the numbers least to greatest and the middle is your answer hope you get a good grade
I will mark brainlyist if correct Please help!
Answer: C: 5r + 12
Step-by-step explanation:
2(3r + 7) - (2 + r)
6r + 14 - 2 - r
5r + 12
What is the sum of the polynomials (-x^2+9) + (-3x^2-11x+4)
Answer:
Step-by-step explanation:
The sum of the polynomials (-x2 + 9) + (-3x2 - 11x + 4) is -4x2 - 11x - 5.
Which function is shown in the graph below?
Answer:
B
Step-by-step explanation:
From the graph, we know when x -> -∞, y -> 3
Note x -> -∞, 2^x -> 0
so only A and B may be right.
Note y-intercept is 7 when x = 0, so only B is right
Find the missing angle
Answer:
Step-by-step explanation:
2x + 3x = 90
5x = 90
Divide both sides by 5
x = 90/5
x = 18
Angles are: 3x = 3*18 = 54°
2x = 2*18 = 36°
Find y-intercept for y= (x+2)(x-5)
Answer:
y = -10
Step-by-step explanation:
To find the y-intercept, substitute x=0.
y= (0+2)(0-5)
Then, solve the equation for y.
y = -10
please
Find the slope and the y -intercept of the graph of the linear equation.
-2x+y = 4
The slope is (Answer here)
and the y-intercept is (Answer here)
Answer:
Slope is 2, and the y-intercept is (0, 4).
Step-by-step explanation:
-2x+y=4
y=4-(-2x)
y=4+2x
y=2x+4
y=mx+b where m=slope and b=y-intercept,
m=2 and b=(0, 4).
8. (-12v + 3) + (8v – 7)
-4(v+1)
hope this works i looked it up and this is what i got
Answer:
-4( v+1)
Step-by-step explanation:
(-12v + 3) + (8v - 7)
-12v + 3 + 8v - 7
-4v - 4
-4 (v+1)
What is the solution to the equation below? 5^x=26
Gabe is in a hot air balloon that has taken off and is floating now 7 meters above it's launching point. Adele is standing on the ground, 6 meters away from the launching point. How far apart are Gabe and Adele? If necessary, round to the nearest tenth.
[I need help]
c^{2} = b^{2} +a^{2}
use a right triangle
Answer:
9.2 m
Step-by-step explanation:
The right triangle model is shown in the attachment. The lengths 6 m and 7 m are the legs of the triangle, and the requested distance is the hypotenuse. The given Pythagorean theorem equation can be used to find the desired distance:
c² = a² +b²
c² = 7² +6² = 49 +36 = 85
c = √85 ≈ 9.2
Gabe and Adele are about 9.2 meters apart.
A cuboid with a breadth of 4 cm and length of 6 cm has a volume of 350 cm3. Find the height of the cuboid, giving you answer to one decimal place.
Answer:
14.58 m3
Step-by-step explanation:
here, breadth (b) = 4cm
length (l) = 6cm
volume (v) = 350cm3
height (h) = ??
we know, volume of cuboid=
length × breath× height
or, v = L× B × H
or, 350 = 6 × 4 × H
or, 350 = 24 × H
or, 350/25 = H
or 14.58 = H
therefore, H = 14.58cm3
look for numbers in place of the letters such that the following mathematical expression hold PRQ/3=OV UVW/6=OV MNO/9=OV
Answer:
PRQ/3
Step-by-step explanation:
it is done by adding the first two
can someone help me
Answer:
12. √197
13. √89
14. 2√10
15. (-3, 2)
16. (3/2, 0)
17. (2, -8)
18. 21
Step-by-step explanation:
12. Point 1: (-8, -2); Point 2: (6, -1)
d = √(x2 - x1)² + (y2 - y1)²
d = √(6 - (-8)² + (-1 - (-2)²
d = √(14)² + (1)²
d = √196 + 1
d = √197
13. Point 1: (-4, 5); Point 2: (4, 0)
d = √(x2 - x1)² + (y2 - y1)²
d = √(4 - (-4))² + (0 - 5)²
d = √(8)² + (-5)²
d= √64 + 25
d = √89
14. G: (-2, -3); H: (0, 3)
d = √(x2 - x1)² + (y2 - y1)²
d = √(0 - (-2))² + (3 - (-3))²
d = √(-2)² + (6)²
d = √4 + 36
d = √40
d = √4 x 10
d = 2√10
15. Point 1: (-1, -5); Point 2: (-5, 9)
Midpoint = ((x1 + x2))/2, ((y1 + y2))/2
Mid = (-1 + (-5)/2, (-5 + 9)/2
Mid = (-6)/2, (4)/2
Mid = (-3, 2)
16. Point 1: (7, -2); Point 2: (-4, 2)
Midpoint = ((x1 + x2))/2, ((y1 + y2))/2
Mid = (7 + (-4)/2, (-2 + 2)/2
Mid = (3)/2, (0)/2
Mid = (3/2, 0)
17. M:(-3, -1); Y:(-8, 6), X: (X, y)
Midpoint = ((x1 + x2))/2, ((y1 + y2))/2
X = ((-8 + x2)) ,((6 + y2))
÷ = -3 ÷ = -1
2 2
To get rid of the 2 multiply the 2 by -3 for X and -1 for Y
X = ((-8 + x2)) ,((6 + y2))
÷ = -3(2) ÷ = -1(2)
2(2) 2(2)
X = (-8 + x2) = -6, (6 + y2) = -2
+8 +8, -6 -6
X2 = 2, Y2 = -8
X: (2, -8)
18. QR = 8x - 51; RS = 3x - 6
8x - 51 = 3x - 6
-3x -3x
5x - 51 = -6
+ 51 +51
5x = 45
÷5 ÷5
x = 9
QR = 8(9) - 51
QR = 72 - 51
QR = 21
RS = 3x - 6
RS = 3(9) - 6
RS = 21
(QR + RS)/2
(21 + 21)/2
42/2 = 21
QS = 21
I really hope this helps!
I bought x cans of fruit cocktail and two more cans of mushrooms than cans of fruit cocktail. A can of mushrooms cost $.80 and a can of fruit cocktail cost $.90. How much money did I spend?
Answer:
0.9x + 0.8(x + 2)
Step-by-step explanation:
# of cans of fruit cocktail: x
# of cans of mushrooms: 2 more than x, or x + 2
$ of can of mushroom: $0.80
$ of can of fruit cocktail: $0.90
To find out how much money you spent, you need to multiply the # of cans by their respective prices. Therefore:
The price of the cans of fruit cocktail = 0.90 * x
= 0.9x
The price of the cans of mushrooms = 0.80 * (x + 2)
= 0.8(x + 2)
Total price = 0.9x + 0.8(x + 2)
how do you do this?
========================================================
Explanatoin:
There are a number of ways to do this type of problem. One way is to divide the figure as shown in the diagram below. See the attached image.
I'm splitting the irregular shape into two rectangles and a triangle.
The upper rectangle is 10 miles by 9 miles to get an area of 10*9 = 90 square miles. Let A = 90 so we can use it later.
The lower rectangle is 4 miles by 19 miles. Its area is 4*19 = 76 square miles. Let B = 76.
The total vertical height of the figure is 9+4+10 = 23 miles.
Notice along the column that has "8 miles" up top over "9 miles" down below, we have a gap of some distance which I'll call x. This x adds to 8 and 9 to get the 23 mentioned.
x+8+9 = 23
x+17 = 23
x = 23-17
x = 6
This helps find the height of the triangle which is 9+x = 9+6 = 15 miles.
The triangle has a base of 9 miles.
The area of the triangle is base*height/2 = 9*15/2 = 135/2 = 67.5 square miles. Let C = 67.5
--------------
We found that:
A = 90 = area of the upper rectangleB = 76 = area of the lower rectangleC = 67.5 = area of the triangleThe total area is: A+B+C = 90+76+67.5 = 233.5 square miles.
l Factor the greatest common factor (GCF) from each polynomial. 10n^3 - 35n^2+25n
Answer:
5n(2n^2-7n+5)
Step-by-step explanation:
I need some help with this math problem
Step-by-step explanation:
15 long
12 wide
10 high
we need all for walls
hight times length two times ( these are the front and back walls )
hight times width two times ( These are the side walls )
the roof is
width times length (only once as only the ceiling)
same measurement as the floor
can you work it out with that
please mark brainiest
help me pls thank you so much <3
Find f(3)
Answer:
8
Step-by-step explanation:
use second equation because it contains values as {4,5,6}
in other to get X to be 3 we have to divide 6 by 2 and replace in the equation
f (6÷2)= -(6÷2)+11
=-3 +11
=8
[tex] \frac{d}{dx} {e}^{x} \cos(x) [/tex]
Please help solve the above equation :(
Step-by-step explanation:
[tex] \frac{d}{dx} {e}^{x} \cos(x) = {e}^{x} cos(x) - {e}^{x} \sin(x) [/tex]
What is the solution to -2(8x - 4) < 2x + 5?
Ox>
1
0x< 1 / 2
O x>6
Ox<6
Please help
Answer: Option (a) x > 1/6 is the solution to the given expression -2(8x - 4) < 2x + 5.
The solution to the inequality is x > 1/6
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
-2(8x - 4) < 2x + 5
On simplifying , we get
-16x + 8 < 2x + 5
Subtracting 2x on both sides , we get
-18x + 8 < 5
Subtracting 8 on both sides , we get
-18x < -3
Multiply by -1 on both sides , we get
18x > 3
Divide by 18 on both sides , we get
x > 1/6
Hence , the solution is x > 1/6
To learn more about inequality equations click :
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A car company is designing a car that uses 12% less steel than
its current model. If the current model uses 1,500 pounds of
steel, how much steel will the new car model use?
Answer:
180 pound
Step-by-step explanation:
percentage:the value of 12%
12% of 1500 pounds12/100 × 150018,000/100180much steel will the new car model use is 180 pound
Let f(x) = −x^3 − 8x^2 − 9x + 11. Identify the function g that reflects f across
the y-axis.
Answer:
[tex]g(x)=x^3-8x^2+9x+11[/tex]
Step-by-step explanation:
[tex]f(x)=-x^3-8x^2-9x+11[/tex]
When a function is reflected across the y-axis, negative x-values become positive, and positive x-values become negative.
Therefore, substitute -x in place of x in the function f(x):
[tex]g(x)=-(-x)^3-8(-x)^2-9(-x)+11[/tex]
We know that [tex](-x)^3=-(x^3)[/tex]
[tex]\implies -(-x)^3=--(x^3)=x^3[/tex]
We know that [tex](-x)^2=x^2[/tex]
[tex]\implies -8(-x)^2=-8(x)^2=-8x^2[/tex]
Also [tex]-9(-x)=+ \ 9x[/tex]
Therefore,
[tex]g(x)=x^3-8x^2+9x+11[/tex]
Which values are solutions to the inequality x < 15
Answer:
{x|x<15}
Step-by-step explanation:
all real numbers less than 15
pls brainliest im hardstuck ambitious
Simplify
cos(x)/sin(x)•csc(x)
Answer:
cos(x)
Step-by-step explanation:
[tex]Remember: sin(x) = \frac{1}{csc(x)}[/tex]
[tex]\frac{cos(x)}{sin(x) *csc(x)}[/tex] OG Question
[tex]\frac{cos(x)}{\frac{1}{csc(x)} *\frac{csc(x)}{1} }[/tex] Convert [tex]sin(x) = \frac{1}{csc(x)}[/tex]
[tex]\frac{cos(x)}{1 }[/tex] Cross multiply and cancel out. Equals to one.
[tex]cos(x)[/tex] Anything divided by 1 is itself. You have your answer.
Hope this makes sense. Lmk if you need more help.
solve using the zero product property:
10x^2 - 13x = 3
with explanation pls; will give brainliest
answer should be: -1/5 and 3