The first step where the student made an error is in step 4 because the solution is one continuous interval.
What is r continuous interval?A function can be continuous in nature on an interval and this is said to be the time when the function is said to be seen at all point on that given interval and does not get any interruptions or breaks.
Note that in step 3, the values for x for which y₁ ≤ y₂ is x = 3 or x= 5. and in step 4 , the error is here when it state the solution is one continuous interval because there are more than one interval which is (∞, 3) ∪ (5, ∞)
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100 POINTS WILL MARK BRAINLIEST NEED BY 9:00
Answer:
Hello! Here are your answers for Part A:
4(x + 6) - 11 = 25 is a multi-step equation.
-1/2(2/3a - 4) = 1/2a - 7 is an equation with rational coefficients.
y - 23 = 8 is a one-step equation.
-3m - 2 = -17 is a two-step equation.
For Part B:
Find the common denominator -
x/2 - 7 = 4
x/2 + 2(-7)/2 = 4
Combine the fractions with the common denominator -
x/2 + 2(-7)/2 = 4
x + 2(-7)/2 = 4
Multiply the numbers -
x + 2(-7)/2 = 4
x - 14/2 = 4
Multiply all terms by the same value to eliminate fraction denominators -
x - 14/2 = 4
2 * x - 14/2 = 2 * 4
Cancel multiplied terms that are in the denominator -
2 * x - 14/2 = 2 * 4
x - 14 = 2 * 4
Multiply the numbers -
x - 14 = 2 * 4
x - 14 = 8
Add 14 to both sides -
x - 14 = 8
x - 14 + 14 = 8 + 14
Simplify -
x - 14 + 14 = 8 + 14
x = 8 + 14
x = 22
The solution to this equation is 22. 6 is NOT a solution.
Hope this helps! Have a great day.
5. John is tiling the living room floor of his home. The living room is a rectangular shape
room that is 10 ft. 9in, by 15ft. 3 in.
a. What is the perimeter of the room?
B. How many 6in by 6in square tiles are required to cover the floor?
C. Calculate 10% of the answer from
Part b (this accounts for the overage due to grout and waste)
The perimeter of the room is 624 inches.
We need 657 tiles to cover the floor.
We need to add 66 extra tiles to account for the overage due to grout and waste.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Length = 10 ft 9in
Width = 15ft 3 in
a.
Perimeter = 2 (Length + Width)
Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.
Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in
Perimeter.
= 2(129 + 183)
= 624 in.
b.
Area = Length x Width
Area = 129 in. x 183 in
Area == 23,607 in²
Each tile covers an area of 6 in. x 6 in
Area of tiles = 36 in²
So,
The number of tiles required.
= Area ÷ Tile area
= 23,607 in² ÷ 36 in²
≈ 656.3 tiles.
c.
10% of 657
= 10/100 x 657
= 0.1 x 657
= 65.7
= 66
Thus,
The perimeter of the room is 624 inches.
We need 657 tiles to cover the floor.
We need to add 66 extra tiles to account for the overage due to grout and waste.
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Which function corresponds to the graph below? A. f(x)= -4/2(x+1/2 +3 B. f(x)=4/2(x+1/2-3 C. f(x)=4/-2x(x+1+3 D. f(x)=4/-2(x+1)-3
Answer:
B.f(x)=4/2(x+1/2-3
drag the correct symbol into the box to compare expessions
6^2-2^2___4(6+2)
A.≠
B.=
Simplify both sides to compare:
6^2 - 2^2 = 36-4 = 32
4(6+2) = 4 x 8 = 32
they are equal to each other.
Answer: B. =
Joe's softball team was in a tournament. If a team lost one game they were eliminated. His team won the tournament, defeating four other teams. How many teams were entered in the tournament?
The Sausage Hut is looking at a new sausage system with an installed cost of $330,000. This cost will be depreciated straight-line to zero over the project's three-year life, at the end of which the sausage system is estimated to have zero value. The project has no impact on net working capital. Each year during its three year life, the new system will increase the firm’s Sales by $455,000 and its Operating Cash Flow by $123,300.
If the tax rate is 30 percent and the discount rate is 9 percent, what is the NPV of this project?
Group of answer choices
-111,524
- $17,891
$19,405
$35,389
$1,136,217
Based on the net cashflow over the three year life, the NPV that Sausage Hut will realize is -$17,891.
What is the Net Present Value?First find the present value of the increased cashflows. As it is a constant amount of $123,300, we can treat it as an annuity.
Present value = Amount x (Present value of annuity interest factor, 9%, 3 years)
= 123,300 x 2.5313
= $312,109.29
The net present value is:
= Present value of cashflows - Amount invested
= 312,109.29 - 330,000
= -$17,890.71
= -$17,891.
In conclusion, option B is correct.
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Which of the following are solutions to the equation below?
Check all that apply.
5x^2 - 2x + 16 = 4x^2 + 6x
A. -6
B. 4
C. -4
D. -3
E. 18
F. 6
5x²-2x+16=4x²+6x
5x²-2x+16-4x²-6x=0
x²-8x+16=0
D= b²-4ac
= (-8)²-4×1×16
=0
x=-b/2a
= 8/2
=4
-> B
Answer:
4! I figured it would be more than just one answer but it’s only 4
Step-by-step explanation:
What is the median for this list of numbers? 2, 5, 8, 9, 11,3
6.5 because if you place the numbers from smallest to greatest and find the two numbers in the middle which are 5 and 8 you should add them and then divide by 2 and this is the answer
What is the surface area of a cylinder that is 5 centimeters high
and has a diameter of 1.5 centimeters?
7.57 cm
B 8.6257 cm
C 10.57 cm
D 19.557 cm
To find the surface area:
⇒ let's define what makes up the surface area of a cylinder
⇒ it is made up of two circles as its bases and its side is a long
rectangular piece curved around
Area of Two Circles
⇒ Area of Circle Formula = [tex]\pi r^{2}[/tex]
⇒ Area of Two Circle Formula = [tex]2\pi r^{2}[/tex]
⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)
⇒ Area of Two circles: [tex]2\pi (0.75)^{2} =3.5343[/tex]
Area of Rectangular piece curved around to form Cylinder
⇒ length: circumference of a circle ⇒ [tex]2\pi r[/tex]
⇒ width: height of the cylinder ⇒ 5cm
⇒ Area of Rectangular piece: [tex]2*\pi *0.75*5=[/tex] 23.5169
Total Area = 27.0512 = 8.6257[tex]\pi[/tex] square centimeters ⇒ Choice (B)
Hope that helps!
Answer:
56.25
Step-by-step explanation:
i just did the test
A desk is on sale for $198.40, which is 32% of the regular price.
What is the regular price?
#3. Using the table of values, which equation represents the linear
function? *
х: -2, 0, 2, 4, 6
у: 1, -9, -19, -29, -39
O y = -x + 10
O y = 10x + 1
O y=-10x - 9
O y=-5x - 9
Answer:
y = -5x + 9.
Step-by-step explanation:
Lets look for the relation between x and y.
Try the first one:
When x = -2, y = -(-2) + 10 = 12
In the table y = 1 so its not this one.
Number 2:
x = -2, y = 10(-2) + 1 = -18 - Not thios one
Number 3:
When x = -2, y = -10(-2) - 9 = 11
Not this one
Number 4:
y = -5(-2) - 9 = 1
This is the one.
Check again with x = 0:
When x = 0, y = -5(0) - 9 = -9.
What is the volume of a rectangular prism with length 7 cm, width 2 cm, height 5 cm?
Answer:
[tex]7x2x5= 70[/tex]
Hope This Helps! :)
The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.
What is the probability that a randomly selected score is greater than 334? Write your answer as a decimal
Using the normal distribution, it is found that there is a 0.0228 probability that a randomly selected score is greater than 334.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 310, \sigma = 12[/tex]
The probability that a randomly selected score is greater than 334 is one subtracted by the p-value of Z when X = 334, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{334 - 310}{12}[/tex]
Z = 2
Z = 2 has a p-value of 0.9772
1 - 0.9772 = 0.0228.
0.0228 probability that a randomly selected score is greater than 334.
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What do most banks offer with savings accounts?
A. No transaction fees
B. A larger amount of money
C. Lower minimums
D. Interest
What are the values of a and y
The value of a is
The value of y is
Okay, Middle school for me is from 9:30 AM to 4 PM. How many hours would that be? (I'm giving out brainliest)
Answer:
6 hours and 30 minutes my dude
No biggy just need some help
Answer:
betwen year 5 and 6
Step-by-step explanation:
th prize will drop betwen 5 and 6 years.
i think its the correct answer
12) A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 30° with the ground? Give your answer to the nearest tenth of a foot.
13) A building 230 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
What is trigonometric ratio?
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
a) Let l represent the length of the guy wire.
sin(30) = (170 - 15) / l
l = 310 feet
b) Let Ф represent the angle, hence:
tanФ = 100/230
Ф = 23°
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
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Which of the following is evaluating to 3(y+4)-7?
What is the most logical first step in solving the equation x^2 + 6x + 9 = 10?
A. Take the square root of both sides of the equation
B. Subtract 10 from both sides of the equation
C. Factor the left side of the equation
D. Subtract 9 from both sides of the equation
Sam poured 1/2 of the punch from a 3 litter bottle while serving guests at a gathering. How much punch ,in litters, is still left in the bottle?
Answer:
1.5 litres
Step-by-step explanation:
1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres
Help help help help
Answer:
b = 12
Step-by-step explanation:
b/3 + 4 = 8
subtract 4 on both sides
b/3 = 4
multiply 3 with 4
b = 12
I took a drivers ed Final exam the other day and got a 91. there were 175 questions how many did i get wrong.
Answer:
Step-by-step explanation:
You got 91% of the questions right out of 175. In math words, this is saying that:
[tex]\frac{91}{100}*175=x[/tex]
[tex]x=159.25[/tex]
So, you got 175 - 159 = 15.75 questions wrong. The decimal could be from getting only part of a question wrong. So you got partial credit for one question
Answer: 15
Step-by-step explanation:
160/175
=0.914285714285 or 0.91
175-160
=15
...And there you go
A charm bracelet costs $65, plus $25 for each charm. The equation −25x+y=65 represents the cost y of the bracelet, where x is the number of charms.
The bracelet cost:
2800 square feet at $20 a square foot how much would that cost
Find the volume of the sphere
Answer:
V = 2 144.66058485063 m³
Step-by-step explanation:
Formula : ( volume V of a sphere of radius r )
[tex]V\ =\ \frac{4}{3} \times \pi \times r^{3}[/tex]
Therefore
[tex]V\ =\ \frac{4}{3} \times \pi \times 8^{3}[/tex]
[tex]V\ =\ \frac{4}{3} \times \pi \times 512[/tex]
⇒ V = 2 144.66058485063 m³ (use a calculator)
Arrange the three side
lengths in increasing
order.
Answer:
a < c < b
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
Therefore, the measure of the missing angle (opposite side c) is:
180° - 69° - 54° = 57°
Relationship between sides and interior angles of any triangle:
The shortest side is always opposite the smallest angleThe longest side is always opposite the largest angleTherefore, from inspection of the triangle:
a is opposite the smaller angle of 54°c is opposite the angle of 57°b is opposite the largest angle of 69°So the side lengths in increasing order are:
a < c < b
Rest angle:-
180-(69+54)180-12357Note that smaller side has smaller opposite angle
Hence the order is
a<c<bThe distance from any point on a circle to the center of the circle is the
radius
diameter
area
circumference
Answer:
Radius.
Step-by-step explanation:
● The distance from the centre to any other point on the circle is known as the radius.
Other Definitions:
● Diameter is the the distance from one point to another point of the circle which passes through the centre of the circle.
● The space enclosed by a figure is known as its area. Area of a circle = πr²
● Circumference of a circle is its outer perimeter. Circumference = 2πr
____________
Hope it helps ⚜
A washer and dryer cost $918 combined . The washer cost $68 more than the dryer . What's is the cost of the dryer ?
Help help help math math
Answer:
If I did the math right you should get this answer: x<=1
Step-by-step explanation:
5x<=-3x+8
5x+3x<=-3~x+8+3x
8x<=-3x+8+3x
8x<=-3x+3x+8
8x<=8