Select the correct answer.
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
+3(41)
7+2³
Step 1: =
=
+ 3(3) - 7 + 23
Step 2:
=
+3(3) - 7 + 8
Step 3: =
(3) - 7+8
Step 4: =
Step 5: = 31+8
Step 6: =
= 47
A.
Step 4
B.
Step 1
C.
Step 5
D. Step 3
Answers
The mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The question is incomplete.
The complete question is in the picture please refer to the picture.
We have given an arithmetic expression:
[tex]=\dfrac{9}{2}+3\left(4-1\right)-7+2^3[/tex]
Step 1:
[tex]=\dfrac{9}{2}+3(3)-7+2^3[/tex]
Step 2:
[tex]=\dfrac{9}{2}+3(3)-7+8[/tex]
Step 3 should be:
[tex]=\dfrac{9}{2}(3)-7+8[/tex]
The mistake made in the step 3
Thus, the mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,
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Related Questions
What is the radius of a circle if it’s center is (1,2) and one point on the circle is (1,6)?
Answers
because the x values are identical the radius would be found by subtracting the y values.
6-2 = 4
the radius is 4
In a window display flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, emily has 6 plants to select from, each of a different type. selecting from the 6 plants, emily can make how many possible display arrangements with 1 plant in each spot?
Answers
Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.
We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
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Evaluate function at the given value using the remainder theorem.
f(a)=a^4-2a^3-10a^2-7a at a=-2
Answers
Answer:
6
Step-by-step explanation:
[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]
A circle is centered at $O$ and has an area of $48 \pi.$ Let $Q$ and $R$ be points on the circle, and let $P$ be the circumcenter of triangle $QRO.$ If $P$ is contained in triangle $QRO,$ and triangle $PQR$ is equilateral, then find the area of triangle $PQR.$ Will give brainlyist!
Answers
The area of the Triangle PQR which is in the circle, is given as 784.25. See the computation below.
What is a circle?Mathematically speaking, a circle is a 2-dimensional shape whose boundaries are round and are equidistant from a fixed center.
What is calculation of the answer given above?The area of ΔPQR is given as ((√3)/4) x QR²
= (√3)/4) x (6√2 - 2√6)²
= 0.43301270189 x (8.48528137424 x 4.89897948557)²
= 0.43301270189 x 1728
Area of ΔPQR = 784.25
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a.) Find h(g(x)) if
h(x)= 2x+9
and
g(x) = 4*
Answers
Answer:
h(4)=17
Step-by-step explanation:
h(g(x)), h(x)= 2x+9; g(x)=4
2(4)+9= 8+9=17
Find the volume of a sphere with a radius of 2 cm.
to the nearest hundredth.
A 10.67 cm³
B 16.75 cm³
C 33.52 cm³
D 8.37 cm³
ATTEMPTS
Answers
Answer:
C 33.52 cm³
Step-by-step explanation:
Here, we have Radius(r)=2(Given)
Volume = 4/3 πr³
= 4/3 · 22/7 · 2³
= 33.5238
Round to the nearest tenth:
C 33.52 cm³
a+2< -10 enter the correct answer
Answers
Answer:
a<-12
Step-by-step explanation:
A scale model of a rectangular plot of land is 13 inches long by 12 inches wide. If the actual length of this plot is 780 feet, what is its actual area, in square feet?
A) 9360
B) 121,680
C) 406,080
D) 561,600
Please explain step-by-step
Answers
By finding the scale factor of the model, we will see that the area is 561,600 square feet.
How to find the area of the plot of land?
On the model, the length is 13 inches, and the actual length is 780 ft, then the scale factor is:
k = (780ft)/(13 in) = 60 ft/in
This means that each inch in the model is equal to 60ft in the actual plot of land.
Then the width is:
W = (12in)*( 60 ft/in) = 720 ft
And the area is the product between length and width, so we have:
A = (780ft)*(720ft) = 561,600 ft²
Then the correct option is D.
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Given that
a:c=1:6
b:c= 2:5
Find the ratio a:b:c
Give your answer in its simplest form
and
Answers
The ratio of a : b : c in its simplest form is 5 : 12 : 30 respectively
How to solve ratio?a : c = 1 : 6b : c = 2 : 5So,
a / b = 1/6
b/c = 2/5
lowest common multiple of c in both ratio1/6 + 2/5
=(5 + 12) /30
a : b and b : c
= 5/30 and 12/30
Therefore,
a : b : c = 5 : 12 : 30
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HELP ASAP....NO LINKS AND NO JOKES PLEASE
Which point represents one solution of the system of inequalities below
3x+8y<=480
y-x<=20
A. (50,50)
B. (40,40)
C. (20,60)
D. (10,40)
Answers
Explanation:
Given Inequalities:
(i) 3x + 8y ≤ 480
(ii) y - x ≤ 20
For first inequality:
(a) y intercept: (0, 60)
(b) x intercept: (160, 0)
Plot this line with a solid line and shade below.For second inequality:
(a) y intercept: (0, 20)
(b) x intercept: (-20, 0)
Plot this line with a solid line and shade below.The point (40, 40) falls between these two inequalities.
Factor out 1/6 out of 1/6x -7/6
Answers
Answer:
(x-7)
Step-by-step explanation:
(1/6)*(x-7)= (1/6)x-(7/6)
how do you stop a skunk from smelling?
Answers
Answer:
Hold its nose
Step-by-step explanation:
You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.
Which equation represents h in the triangle? A) h = 6sin37° B) h = 10sin37° C) h = 6 10 sin37° D) h = 10 6 sin37°
Answers
Answer:
A
Step-by-step explanation:
Consider the left triangle within the big triangle.
Identity :
sin θ = opposite side / hypotenuse
=============================================================
Taking the sine value of the angle to find h :
⇒ sin37° = h/6
⇒ h = 6sin37°
Opposite 37 is h
Angle opposite 6 is 90
Sine rule:
h/sin37 = 6/sin90
xsin37
h = 6 x sin37/ sin90
h = 3.6108....
h = 3.6 to 1dp
A) 6xsin37= 3.6108...
B) 10xsin37 =6.018...
C) 6x 10 xsin37 = 36.108...
D) 10 x 6 x sin37 = 36.108...
Thus, answer is A
Hope this helps!
What is the image of (12, -9) after a dilation by a scale factor of 1/3 centered at the origin
Answers
Answer:
(4,-3)
Step-by-step explanation:
The scale factor is 1/3. So, multiply the numbers by 1/3.
12*1/3 is 4.
-9*1/3 is -3.
The new coordinates are (4,-3).
I'm to lazy to do this-
(image below)
plx do this correctly for brainly :D
also 20 points
:)
Answers
The probability that the lunch combo will have an ham sandwich is 3 / 7.
How to find the probability of Ham sandwich?Probability simply means possibility. It describes how likely an event will occur or happen.
Mathematically,
probability = number of favourable outcome to A / total number of possible outcome
Therefore,
probability that a lunch combo will include a ham sandwich = 6 / 14 = 3 / 7
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if x=0 and y<0, where is the plot (x,y) located
Answers
Mark me the Brainliest!
Answer:
The point will be plotted on Y axis
Write seventy-eight and nine hundredths as a decimal number.
Submit
Answers
Answer: 78.09
Step-by-step explanation:
Seventy-eight is the whole number, so it goes to the left of the decimal point 78.09
Nine-hundredths is decimal, it goes two places to the right of the decimal point because it's hundredths 78.09
Part B
Now that you know the missing side length, is triangle BCD a right triangle? Give you
reason.
Answers
The length of the other leg of the right triangle will be 13.86 cm.
The complete question is given below.
The triangle BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
What is the length of the other leg?
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Let the unknown sides be x. Then we have,
19² = 13² + x²
361 = 169 + x²
x² = 361 – 169
x² = 192
x = 13.856 ≈ 13.86 cm
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please help I’ll give brainliest
Answers
function or not a function?
Answers
Answer:
function
Step-by-step explanation:
no repeated domain means its a function
The function D(t) defines a traveler's distance from
home, in miles, as a function of time, in hours.
D(t) =
300t + 125,
875,
75t + 612.5,
0 ≤t <2.5
2.5 ≤t≤ 3.5
3.5
Mark this and return
Which times and distances are represented by the
function? Select three options. 4
The starting distance, at 0 hours, is 300 miles.
At 2 hours, the traveler is 725 miles from home.
At 2.5 hours, the traveler is still moving farther from
home.
At 3 hours, the distance is constant, at 875 miles.
The total distance from home after 6 hours is 1,062.5
miles.
Answers
Three selected options are as follows:
At 2 hours, the traveler is 725 miles from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.What is Distance ?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, put the values in option substitute in given equation D(t)
Option 1: At t = 0 hour,
D (0) = 300 X 0 + 125 = 125 ≠ 300 Option Incorrect
Option 2 : At t = 2 hours,
D(2) = 300 X 2 + 125 = 725 Option Correct.
Option 3: At t = 2.5 hours,
D(2.5) = 875 Option Incorrect
Option 4: At t = 3 hours,
D(3) = 875 Option Correct
Option 5: At t = 6 hours,
D(6) = 75 X 6 + 612.5 = 450 + 612.5
= 1062.5 miles Option Correct
Thus, Option two, four and five are correct.
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If 14 is 35% of a value, what is that value?
Pls help
Answers
Answer:
40
Step-by-step explanation:
14 = 35% of x
35% = 0.35
So lets make an equation and solve for x:
14 = 0.35x
x = 14÷0.35
x = 40
To check our answer let's put it back into the question :
35% of 40 = 14
10% = 4 , 30% = 12 , 5% = 2
35% = 12+2 = 14 ✅
Hope this helped and have a good day
A paper is 0.55 mm thick. How high pile of 274 sheets? The paper is 24.5 long and 18.5 cm wide. Calculate volume of the pile of paper.
Answers
The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.
How high will be the pile of papers?We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:
H = 0.55mm*274 = 150.7mm
Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:
V = H*W*L
In this case, we have:
H = 150.7mmW = 18.5 cm = 185 mmL = 24.5 cm = 245 mmThen the volume is:
V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³
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A school is constructing a rectangular play
area against an exterior wall of the school
building. It uses 120 feet of fencing material to
enclose three sides of the play area.
Write an equation to represent &, the length of
the play area in feet, as
function of w. the width in teet.
Write an equation to represent A, the area in
square feet, as a function of w.
the width in feet.
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS
Answers
Answer:
120 = L+2W
LW =area.
to maximize area with given fencing that would make Width = 30 feet and length = 60
A= LW = (120-2W)W = 120W -2W^2
A' = 120-4W =0
W = 30
L=120-2(30) = 60 feet
W by L is 30 by 60 feet for max area
28 Jess bought a new car for £12 000.
In the first year the value of the car depreciates by 20%.
In the second year and the third year the car depreciates by 15%
Work out the value of the car after three years.
Answers
The value of the car after three years is £6936
How to determine the value of the car?The initial value of the car is given as:
Value = £12000
When the value depreciates by 20% after the first year, the new value of the car is:
New = £12000 * (1 - 20%)
Evaluate
New = £9600
When the value depreciates by 15% after the second year, the new value of the car is:
New = £9600* (1 - 15%)
Evaluate
New = £8160
When the value depreciates by 15% after the third year, the new value of the car is:
New = £8160 * (1 - 15%)
Evaluate
New = £6936
Hence, the value of the car after three years is £6936
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In the diagram of right triangle GFE below, altitude FD is drawn. Which of the
following ratios is equivalent to sin E?
answers: GD/DF, GF/GE, DE/FD, FE/GE
Answers
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is B.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the ΔGEF, the value of Sin(E) is,
Sin(E) = GF/GE
In the ΔDEF, the value of Sin(E) is,
Sin(E) = FD/FE
Hence, the correct option is B.
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Dale has $1,000 to invest. He has a goal to have $2,600 in this investment in 8 years. At what annual rate compounded continuously will Dale reach his goal?
Answers
Answer:
11.94 %
Step-by-step explanation:
Compound interest formula FV = PV e^(it) i = decimal interest per year
t = time FV = future value
2600 = 1000e^(i * 8)
solve for i = 11.94 %
How many one-third cup servings are in 9 cups of strawberries?
Answers
Answer:27?
Step-by-step explanation:
So since there needs to be 3 1/3ds in each cup you just multiply 3x9=27
What is the probability of the spinner stopping on an even number?
Answers
Consider a flow network in which vertices, as well as edges, have capacities. That is, the total positive flow entering any given vertex is subject to a capacity constraint
Answers
Maintain the same constraints on edge capacity, skew symmetry, and flow conservation in the ordinary maximum-flow problem on a flow network of comparable size.
What is flow network?A flow network is a directed graph with each edge having a capacity and each edge receiving a flow, according to graph theory. The amount of flow on an edge must not exceed the edge's capacity.
Let's suppose the network flow is given by;
G = (V, E)
With edge capacity:
c: E → R
And vertex capacity:
d: V → R
Maintain the same constraints on edge capacity, skew symmetry, and flow conservation.
Consider the new stipulation: for each:
v ∈V
So,
[tex]\rm \sum_{u \in v } \{ f(u,v)|f(u,v) > 0 \} \leq d(v)[/tex]
Thus, if maintain the same constraints on edge capacity, skew symmetry, and flow conservation the ordinary maximum-flow problem on a flow network of comparable size.
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