Given that x=2, y=5 and z=3 evaluate the value of x-2y
Answer:So firstly, plug in the numbers into the expression:
Next, solve the exponents:
Next, solve the multiplications:
Lastly, combine everything, and your answer will be -23.
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
By substituting the given numeric values for x,y and z into the expression.
That is
(3)3−2(5)2−3(3)3+(−3)4
------------------------------------------------
I'll evaluate each term separately.
(3)3=3×3×3=9×3=27
2(5)2=2×(5×5)=2×25=50
3(3)3=3×(3×3×3)=3×27=81
(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81
-------------------------------------------------
Replace these values back into the expression , noting the values which are subtracted.
⇒27−50−81+81=27−50=−23
What is the perimeter and area of this shape
Would help if you explained why
Will give brainliest
Answer:
area: 133.5 m²perimeter: 52.02 mStep-by-step explanation:
AreaThe area of each trapezoid can be found using the relevant formula:
A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height
For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...
A = 1/2(8 m +5 m)(6 m) = 39 m²
The area of the bottom trapezoid is ...
A = 1/2(10 m +17 m)(7 m) = 94.5 m²
The area of the shape is the sum of the areas of the two trapezoids.
area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure
__
PerimeterThe horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...
s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters
Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...
s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters
__
The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...
10 m +(17 -8 m) +5 m = 24 m
The sum of the lengths of the slant edges is ...
2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters
The perimeter of the figure is the sum of horizontal lengths and slant lengths:
24 m + 28.02 m = 52.02 m . . . . perimeter of the figure
Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help
Write an equation in slope-intercept form of the line that passes through the given point
and the given slope.
(-2,-4); m = -3
O y=-3x - 6
O y=-3x - 10
O y=-3x + 10
O y=-3x + 2
Answer:
it's y=-3x-10
mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please
Rewrite using the distributive property and the GFC
13+26 ?
Answer: 13 ( 1 + 2 )
Step-by-step explanation:
13 ( 1 + 2 ) = 13 + 26
In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.
Answer:
32 degrees
Step-by-step explanation:
The law of cosines can be used for this:
h^2 = f^2 +g^2 -2fg·cos(H)
cos(H) = (f^2 +g^2 -h^2)/(2fg)
cos(H) = (650,500/763,600)
H = arccos(6505/7636) ≈ 31.5826°
Hey yall I need help on this question pls give explanation
Answer:
0.5 liters
Step-by-step explanation:
If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.
Answer:
The answer is 0.5 liter
Step-by-step explanation:
Because 0.25 liter ÷ 0.5 liter = 0.5 liter
The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?
Answer:
x = 14Step-by-step explanation:
Direct variation equation:
y = kx, where k is constant of variationGiven:
96 = 8kk = 96/8k = 12The equation is:
y = 12xFind the value of x when y = 168:
168 = 12xx = 168/12x = 14110 < 2x + 10 pls helppppppp
110<2x+10
Step 1: Flip the equation.
2x+10>110
Step 2: Subtract 10 from both sides.
2x+10−10>110−10
2x>100
Step 3: Divide both sides by 2.
x>50
Step-by-step explanation:
Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?
A. 28
B. 24
C. 20
D. 12
Answer:
B. 24
Step-by-step explanation:
If N1 = 8;
N1 + 4
8 + 4 = 12 =N2
N2 + 4
12 + 4 = 16 = N3
N3 + 4
16 + 4 =20 = N4
N4 + 4
20 + 4= 24 = N5
1/100 = ?/? x 1/1000
Answer:
10 or 10/1
Step-by-step explanation:
1/1000 * 10= 0.01 = 1/100
help me no bots I need help pls give me all 3 answers!
Answer:
y= -10x+70
slope being -10 and y-intersept being 70
Step-by-step explanation:
Answer:
Equation: y=-10x+70
Slope: -10
Y-Intercept: 70
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?
Answer:
Step-by-step explanation:
The perimeter = side1 + side2 + side3
P = 29
side1 = 9
side2 = 9
29 = 9 + 9 + side3
29 = 18 + side3 Subtract 18 from both sides
11 = side 3
Answer:
hb≈7.12in
a Side
9
in
c Side
9
in
P Perimeter
29
in
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formulas
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
P=a+b+c
s=a+b+c
2
Solving forhb
hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2
2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92
2·9﹣2·29+2·9≈7.1239in
Step-by-step explanation:
A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage increase
Answer:
5.7%
Step-by-step explanation:
421-367=24
24/421x100=5.7%
If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?
need help with these problems asap!!
Answer:
hehehehehehe
Step-by-step explanation:
ssa
Divide the fractions and reduce to lowest terms: 2/5÷3/12
Answer:
8/5
Step-by-step explanation:
You can rewrite the equation to 2/5 * 12/3
Which is equal to 2/5*4
So 2 times 4 is 8
So the answer is 8/5
Hope this helps!
You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches
Answer: 18 inches
Step-by-step explanation:
2 x 6 = 12 inches (wide)
3 x 6 = 18 inches (tall)
Will mark brainliest
Answer:
Quadrant 2 (-2,1)
Step-by-step explanation:
Answer:
you anwser would be quadrant 3 please mark brainliest
Step-by-step explanation:
Help help me help help plz plz help help plz help me help plz plz help help plz
Answer: you give us that picture, but what are the instructions?
Step-by-step explanation:
Answer:
oh you have to draw for this assignment.. sad
Step-by-step explanation:
What is 4 pounds as ounces? *
Answer:
64
Step-by-step explanation: I looked it up
WILL GIVE BRAINLIEST!!
Which is one solution, no solution, and infinite solutions?
3(4x-2) = 12x - 6
3(4x-2)= -12x - 6
-3(4x-2) = -12x - 2
Step-by-step explanation:
3(4x - 2) = 12x - 6
12x - 6 = 12x - 6
that is always true, no matter what value we pick for x.
so, this has infinite many solutions.
3(4x - 2) = -12x - 6
12x - 6 = -12x - 6
24x = 0
x = 0
this has one solution.
-3(4x - 2) = -12x - 2
-12x - 6 = -12x - 2
-6 = -2
this is never true, no matter what value we pick for x.
so, this has no solution at all.
Answer:
see below
Step-by-step explanation:
Hi!!
Here's how I found it:
First, I simplified all my equations.
1.12x-6=12x-6
2.12x-6=-12x-6
3.-12x+6=-12x-2
#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.
#2 can be simplifed with algebra.
Cancel out the -6, since it is on both sides.
we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.
#3 can also be simplifed using algebra.
Cancel out the -12x, since both sides have that.
you are left with:
6=-2
this will never have a solution, therefor, it is no solution.
Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?
Answer:
15
Step-by-step explanation:3/4*20=15
One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!
Since these are one-step equations we only have one step.
To solve, these single steps will include the following:
[1] addition (+)
[1] subtraction (-)
[2] division (/ or ÷)
[2] multiplication (* or x)
How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets" of which we use.
[] 3x = -12
-> -4
We have multiplication so we will divide -12 by 3 for an answer of -4
[] 14x = 280
-> 20
We have multiplication so we will divide 280 by 14 for an answer of 20
[] x + 6 = -5
-> -11
We have addition so we will subtract 6 from -5 for an answer of -11
[] x + 27 = 125
-> 98
We have addition so we will subtract 27 from 125 for an answer of 98
[] x - 324 = 760
-> 1,084
We have subtraction so we will add 324 to 760 for an answer of 1,084
[] x - 43 = 35
-> 78
We have subtraction so we will add 43 to 35 for an answer of 78
[] x/6 = -24
-> -144
We have division so we will multiply 6 by -24 for an answer of -144
[] x/13=214
-> 2,782
We have division so we will multiply 13 by 214 for an answer of 2,782
[] 26 - x = 47
-> -21
We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x
Then, we have addition so we will subtract 47 from 26 to get an answer of -21
[] -x/3=-998
-> 2,994
First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]
Then, we have division so we will multiply -3 by -998 for an answer of 2,994
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
if p =5 q =3 find the value of 9p2²- 5q²
Answer:
Answer is in the attached file.
what is the answer -v+91=261
Answer:
v = -170
Step-by-step explanation:
-v + 91 = 261
(-v + 91) - 91 = 261 - 91
-v = 170
-v / -1 = 170 / -1
v = -170
Step-by-step explanation:
(-v) +91 = 261
(-v) =91=261
(-v)=261-91
(-v)=170
v= - 170 (change the signs)
3a2 + 2a + 2a2 is equal to
Answer:
5a^2 +2a
Step-by-step explanation:
Like terms are ones with the same exponent of x. They can be combined.
3a^2 +2a +2a^2
= (3a^2 +2a^2) +2a
= (3+2)a^2 +2a
= 5a^2 +2a
5a² + 2a
Step-by-step explanation:
[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]
[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]
[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]
What is the slope of the line that passes through the points (-2, -5)(−2,−5) and (-3, -6) ?(−3,−6)? Write your answer in simplest form.
Answer:
0 & 0
Step-by-step explanation:
In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]
Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]
[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]
[tex]-2--2 = -2+2=0[/tex]
[tex]= 0[/tex]
[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]
[tex]m=\frac{-6--6}{3--3}[/tex]
[tex]-6+6=0[/tex]
[tex]-3+3=0[/tex]
[tex]=0[/tex]
Hope this helps.
PLEASE HELP WORTH 50 POINTS!
Answer:
the question was not correctly solved
Step-by-step explanation:
A=½bh
23=½*b*h
²/1×23= bh
²/1×23=6h
46=6h
h=7.666666667 / h=23/3
I hope this is helpful