Answer:
x=-2
Step-by-step explanation:
2 = 3x+14/4
2x4 = 4x4 4 cancels
8 = 3x+14
8-14 = 14-14 14 cancels
-6 = 3x
-6/3 = 3/3 3 cancels and you're left with x
-2=x
solve:
1 + 0 = ?
4 + 0 = ?
3 + 0 = ?
do you get it?
Answer:
1+0=1
4+0=4
3+0=3
hope this helps
If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?
Answer: The product of a b and c is 0.
Step-by-step explanation:
The given expression : [tex]2xy^{-2}{4xy^2}[/tex]
[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]
[tex]=8x^2y^0[/tex]
When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0
The product of a, b and c = [tex]a\times b \times c[/tex]
[tex]=8\times2\times0\\\\=0[/tex]
The product of a b and c is 0.
What is the simplified form of the following expression??
Answer:
[tex]2x^{2}[/tex]
Step-by-step explanation:
Hope that helps!!!
-scsb17hm
HELP! 30 PTS!!!!! WILL GIVE BRAINLY IF CORRECT!!
Find the volume of a hexagonal pyramid with a base area of 25 square inches and a height of 9 inches.
4. Find the volume of a cone with a height of 30cm and a base diameter of 24cm.
5. Mary has a cube with side lengths that measure 5 units and James wants to make a cube that is 3 times the length of Mary's cube. How will the volume of James' cube compare to Mary's? Be very specific.
Problem 3
Answer: 75 cubic inches-----------------------------
Explanation:
It doesn't matter what shape the base is, so the fact it's a hexagon isn't useful info here. What is useful is that the area of the base is 25 square inches.
We multiply this base area by the height, and then divide by 3 to get the volume of the pyramid.
V = (BaseArea*height)/3
V = (25*9)/3
V = 75 cubic inches
==========================================================
Problem 4
Answer: Exact volume = 1440pi cubic cmApproximate volume = 4521.6 cubic cmThe approximate volume is found by using pi = 3.14
-----------------------------
Explanation:
We apply this formula to find the volume of a cone
V = (1/3)*pi*r^2*h
In this case, r = 12 is the radius (half the diameter) and h = 30 is the height.
So,
V = (1/3)*pi*12^2*30
V = (1/3)*pi*4320
V = (1/3)*4320*pi
V = 1440pi ...................... exact volume in terms of pi
V = 1440*3.14
V = 4521.6 ....................... approximate volume if you use pi = 3.14
==========================================================
Problem 5
Answer: 27 times larger volume-----------------------------
Explanation:
Mary's cube has side lengths of 5 inches, so the volume of this cube is 5*5*5 = 5^3 = 125 cubic inches.
James then wants to triple the side lengths of her cube to have a new larger cube that has side lengths of 3*5 = 15 inches. The volume of this new larger cube is going to be 15*15*15 = 15^3 = 3375
To compare the two volumes, we'll divide the larger over the smaller
(larger volume)/(smaller volume) = (3375)/(125) = 27
This number 27 is due to cubing the value 3, ie 3^3 = 3*3*3 = 27
So the larger cube is 27 times larger compared to the smaller cube.
As another example, let's say he wanted to only double the side lengths. This would mean the larger volume is 8 times larger, since 2^3 = 2*2*2 = 8. Whatever the linear scale factor is, cube it and you'll get the volume scale factor.
6. Which graph matches the inequality ?
K > -7
Answer:
Option 4
Step-by-step explanation:
Since k is greater than or equal to -7, the number line should be going in the right direction, along with the starting point being shaded.
Complete these Primes Factor trees for 120 and 150
Answer:
The highest common factor of 120 and 150 Is
30.
Hope it will help ✔
120
/ \
10. 12
/. \. /. \
2 5. 2. 6
/. \
2. 3
Step-by-step explanation:
150
/. \
10. 15
/. \. /. \
2. 5. 3. 5
so its 30
Which is the equation of a line perpendicular to y = 5x – 3?
To start a board game the player who rose to sixes gets to go first what is the probability that a buyer will roll to number cubes and get to sixes
Answer:
the probability in which the buyer would roll to get two sixes is 1 ÷ 36
Step-by-step explanation:
The computation of the probability in which the buyer would roll to get two sixes is shown below:
= 1 ÷ (6 × 6)
= 1 ÷ 36
Hence, the probability in which the buyer would roll to get two sixes is 1 ÷ 36
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ2
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answer: The length of the fence will be 150 feet
Step-by-step explanation:
The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula a^2 + b^2 = c^2
120 feet will be a
90 feet will be for b
this is because a and b are the two legs of the rectangle.
120^2 + 90^2 = c^2
14400 + 8100 = c^2
22500 = c^2
c =√22500
c= 150
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
Answer:
he will pay 11.28 dollars. I hope it helps!
Answer:
Your answer would be $11.28
Step-by-step explanation:
if you find 4% of 282 you would get 11.28 so therefore it is your answer.
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
A rectangle Is (2x-3) cm long and (x+7) cm wide. What Is It's area?
Answer:
Step-by-step explanation:
Length (L)= 2x - 3 cm
Breadth (b) = x + 7 cm
Area of the rectangle
= L * b
= ( 2x - 3)(x+ 7)
= 2x(x + 7) - 3(x + 7)
= 2x² + 14x - 3x - 21
=( 2x² + 11x - 21) cm²
hope it helps
Answer:
[tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a rectangle = Length × Width
= (2x-3)(x+7)
Multiply 2x with x, 2x with +7, -3 with x and -3 with +7
= [tex]2x^{2}[/tex] + 14x - 3x - 21
= [tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
HELP! Convert these repeating decimals into fractions
Answer:
0.563 = 563/9990.18 = 2/110.9 = 10.123 = 41/333------------
0.235 = 53/2250.427 = 47/1100.018 = 1/550.35 = 16/45-------------
1.5 = 1 5/93.6 = 3 2/3Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
1.
Last year, the ratio of literate and illiterate people of Rashkundu Village was
4:1. If the population of the village is 6550, let's find the numbers of literate
and illiterate people.
Step-by-step explanation:
Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then 4x + x = 65505x = 6550x = 6550 / 5x = 1310Therefore no. of literate people = 4 * 1310 = 5240no. of illiterate people = 1310 Hope it will help :)Answer:
5,240 literate
1310 illiterate
Step-by-step explanation:
-ratio of literate : illiterate is 1:4
-add the numbers in the ratio (4+1=5)
-divide total population by 5 (6,550/5= 1,310)
-multiply the outcome by 4 to find the number of literate people (1,310*4=5,240 people)
-subtract the number of literate people from total population to find number of illiterate people (6,550-5,240= 1,310 people).
surface area - multi step
Answer:
£208
Step-by-step explanation:
Given:
Height of solid box (h) = 20 cm
Width (w) = 80 cm
Length (l) = 10 cm
Cost of paint = £0.04 per cm²
Required:
Cost of painting the box
Solution:
✔️First, find the surface area of the box
Surface area = 2(l*w + l*h + w*h)
S.A = 2(10*80 + 10*20 + 80*20)
S.A = 2(800 + 200 + 1,600)
S.A = 2(2,600)
S.A = 5,200 cm²
✔️Find the cost of painting 5,200 cm² surface area of the box.
Cost of pianting 1 cm² = £0.04
Cost of painting 5,200 cm² = 5,200 × 0.04
Cost of painting the box = £208
–4.2 = –1.96(m − 10) + –4.2
Find variable
Answer:
m=10
Step-by-step explanation:
–4.2 = –1.96(m − 10) + –4.2
–4.2=-1.96m+19.6-4.2
-19.6=-1.96m
m=10
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.
9514 1404 393
Answer:
c.) The function is an even function.
Step-by-step explanation:
Either way you interpret the given function, you have ...
f(-x) = √(-x)^2 -64 = √x^2 -64
f(-x) = f(x) . . . . the function is an even function (only)
what is the lcm of 3y and 6x?
Step-by-step explanation:
First expression = 3y
second expression = 3 * 2 x
LCM = 3 * 2x * y = 6xy
Give an example of a linear function whose graph intersects with the y-axis at the same points as the graphs of the following functions.
y= x+11
y= -9x-6
Answer:
Given functions:
y= x + 11y= -9x - 6They have different y-intercepts, therefore the line to intersect y-axis at the same points is y-axis itself.
The equation is:
x = 0The graph is attached
---------------------------------------
Note. If the question is about the lines above separately, then the answer is following
The first line has y-intercept of 11, any line with same y-intercept is the answer:
y = mx + 11, where m ≠ 1For the second line the equation is:
y = mx - 6, where m ≠ -9Answer:
y = mx + 11, where m ≠ 1
For the second line the equation is:
y = mx - 6, where m ≠ -9
Please help I’ve been stuck on this question for the longest
Answer:
7 in., 9 in., 5 in.
Step-by-step explanation:
6+2>9 = incorrect
9+7>16 = incorrect
2+7>9 = incorrect
7+5>9 = correct
7+9>5 = correct
9+5>7 = correct
Basically two side lengths added together should be more than the number left out.
I hope this helps!
Given the function f(x)=4^x+3
Answer:
f(x)=4^x+3
Step-by-step explanation:
ok annnnnd
1. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
2. Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
3. What will the distance between them be after 45 minutes?
h el p I really need it
Answer:
Clare will be at 9 miles an hour
Step-by-step explanation:
can someone help me with this?
Let n = number of gum packs he buys.
After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:
[tex]30-12-4n\geq 0[/tex]
Simplify by subtracting 30-12:
[tex]18-4n\geq 0[/tex]
Subtract 18 from both sides:
[tex]-4n\geq -18[/tex]
Divide both sides by -4 (flip the sign when you multiply or divide by a negative):
[tex]n\leq 4.5[/tex]
You can only buy a whole number of gum packs, so:
[tex]n\leq 4[/tex]
Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
Find the values of x and y plz
Answer:
x= 40, y= 140
Step-by-step explanation:
if two parellel lines cut by a transversal then same-side interior angles are supplementary.
180-140 = x
x = 40
x and y are suplementary
180-40 = 140
1 Write an equation where a number is added to a variable, and a solution is -8.
Answer:
n+v= -8
Step-by-step explanation:
number=n; variable=v
n+v=-8