Answer:
D
Step-by-step explanation:
f(x) = g(x) at x=5
means
f(5) = g(5)
SM 4 - 7 A shoe store marks up
its merchandise by 8%. What is the
selling price of a pair of shoes
whose wholesale price was
$34.50?
Assuming $34.50 is the price after the 8% price increase, we can set up this equation (if 34.50 is the old price, scroll down):
34.50=[tex]\frac{108}{100} x[/tex]
Where x ( or 100/100 x) is the original price.
We can simply the fraction, or just multiply by 100 on both sides.
3450=108x
x=31.9444 (4 repeating).
If the old price is 34.50, then we can set up this equation:
34.50+ [tex](\frac{8}{100} *34.50)[/tex] = x
34.5 + 2.76 = x
x = 37.26
The new selling price would be $37.26.
What is the scale factor from ABC to DEF?
Answer:
3
Step-by-step explanation:
3 to get to 15, multiply by 3, same for other sides.
Answer:
C
Step-by-step explanation:
9 divided by 3 is 3, 15 divided by 5 is 3, and 12 divided by 4 is 3. it all adds up to three
Exercise 8: The main stairway in a block of flats has three switches for controlling the lights. Switch A is located at the top of the stairs, switch B is located halfway up the stairs and switch C is positioned at the bottom of the stairs. Design a logic network to control the lights on the staircase.
The logic network to control the lights on the staircase; has been designed as seen below.
How to describe Computer Logic Gates?
The truth table for the required response of the question is;
SWITCH A SWITCH B SWITCH C Y
0(OFF) 0(OFF) 0(OFF) 0(OFF)
0(OFF) 1(ON) 1(ON) 1(ON)
1(ON) 0(OFF) 1(ON) 1(ON)
1(ON) 1(ON) 0(OFF) 1(ON)
1(ON) 1(ON) 1(ON) 0(OFF)
The expression for the output Y in SOP form will be;
A ⊕ B ⊕ C = A⁻B⁻C + AB⁻C⁻ + A⁻BC⁻
That's the output expression for the XOR gate.
Thus, we can conclude that in the staircase wiring, higher output is obtained when two out of three of the inputs are different.
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F(x) = x^2 - 1
1.What's the vertex
2.Find the Domain
3 Find the Range
4. Find The Axis of symmetry
Answer:
Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3
Step-by-step explanation:
Explanation:
The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]
given: tangent TA is parallel to KM. Prove: KS = MS
When tangent TA is parallel to KM, it can be proved that KS = MS since they're congruent.
How to prove the tangent?It should be noted that when the tangent line TA is parallel to chord KM, it simply means that segment KS and MS are congruent.
Therefore, since they're congruent, SKM and SMK are equal. By the theorem of inscribed angle, we will have:
SKM = 1/2m(MS)
SKM = 1/2m(KS).
Since SKM = SMK
1/2m(MS) = 1/2m(KS).
MS = KS
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Find the midpoint M of the line segment joining the points P = (4, 2) and Q = (-6, -8)
Answer:
(- 1, - 3 )
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints, then
midpoint = ([tex]\frac{4-6}{2}[/tex], [tex]\frac{2-8}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-6}{2}[/tex] ) = (- 1, - 3 )
Somebody dont just tell me the answer but tell me the steps so that i can prove my answer.
Answer:
e. $44.20
Step-by-step explanation:
1. add all of the percentages together and subtract them by 100. this will give the percentage she wasted on food: 17%
2. convert 17% into a decimal: .17
3. multiply 260 by .17 this should give you 44.2
Lilly plotted the points ( - 6 , 4) and ( - 2 , 4) on a coordinate plane. Then she plotted their reflections across the x-axis. What are the locations of the reflected points ?
Answer:
(-6,-4)
(-2,-4)
Step-by-step explanation:
Step 1. Plot points
Step 2. Reflection over x-axis (make "y" negative)
Reflection:
(-6,4) --> (-6,-4)
(-2,4) --> (-2,-4)
BRAINLIEST please if this helped!I just made a purchase of $130.00 but once I got my car and looked at the receipt, I realized the salesperson who helped me did not apply the 15% discount
Answer:
Guessing you want me to figure out what your cost should have been. On it!
Step-by-step explanation:
130 * .15 = 19.5
130 - 19.5 = $110.5
That should be the new cost.
The price of the thing after applying 15% discount is $110.50.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The price at which thing is purchased = $130.
Since, The salesperson forgot to give a discount of 15%.
The discounted price = 130 x 15 %
= 130 x 15/100
= 1950/100
= $19.5
The price after discount = 130 - 19.5 = 110.5
The required price after discount is $110.5.
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can someone please answer this question?
Answer:
254.34 mm²
Step-by-step explanation:
Diameter (d) = 18 mm
Radius (r) = d/2 = 18/2 = 9 mm
π = 3.14
Area of the circle
= πr²
= (3.14)(9)²
= 3.14 × 81
= 254.34 mm²
____________
Hope it helps ⚜
diameter= 18mm
to find:the area of the circle
solution:[tex]area = \frac{1}{4} \pi {d}^{2} [/tex]
[tex]a = \frac{1}{4} \times \pi \times {18}^{2} [/tex]
[tex]a = 254.469 \: {mm}^{2} [/tex]
hence, the area of the circle is 254.469 square millimeters.
Jerod hopes to earn $1200 in interest in 1.8 years time from $12,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$\stackrel{12000~~ + ~~1200}{13200}\\ P=\textit{original amount deposited}\dotfill &\$12000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1.8 \end{cases}[/tex]
[tex]13200=12000\left(1+\frac{~\frac{r}{100}~}{1}\right)^{1\cdot 1.8}\implies \cfrac{13200}{12000}=\left( 1+\cfrac{r}{100} \right)^{1.8} \\\\\\ \cfrac{11}{10}=\left(\cfrac{100 + r}{100} \right)^{1.8}\implies \cfrac{11}{10}=\left(\cfrac{100 + r}{100} \right)^{\frac{9}{5}} \\\\\\ \left( \cfrac{11}{10} \right)^{\frac{5}{9}}=\left[ \left(\cfrac{100 + r}{100} \right)^{\frac{9}{5}} \right]^{\frac{5}{9}}\implies \left( \cfrac{11}{10} \right)^{\frac{5}{9}}=\cfrac{100+r}{100}[/tex]
[tex]\sqrt[9]{\left( \cfrac{11}{10} \right)^5}=\cfrac{100+r}{100}\implies 100\sqrt[9]{\left( \cfrac{11}{10} \right)^5}=100+r \\\\\\ 100\sqrt[9]{\left( \cfrac{11}{10} \right)^5}-100 = r\implies 5.44\approx r[/tex]
Find X exactly. Answer should be in a square root.
URGENT Find Area of shapes. Need to complete by 11:30 to pass!
Pete and his sister, Sophie, play the game Space Mission Commander on their video game
console. Pete has already completed 27 missions. Sophie has only completed 13 missions.
From now on, Pete plans to complete 3 missions per week. Meanwhile, Sophie plans to
complete 5 missions per week.
At some point, Sophie will catch up to Pete. How many weeks will it take? How many
missions each will Pete and Sophie have completed?
Answer:
It will take 7 weeks for Sophie to catch up to Pete. Both of them will each have completed 48 missions.
Step-by-step explanation:
27 + 3x = 13 + 5x
27 + 3x - 3x = 13 + 5x - 3x
27 = 13 + 2x
27 - 13 = 13 + 2x - 13
14 = 2x
x = 7
27 + 3x
27 + 3(7)
27 + 21
48
13 + 5x
13 + 5(7)
13 + 35
48
Learning Task 1: Read and solve the following problems. Use the 4-Step Plan by supplying the needed information in each letter below. 1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the 2 parallel sides is 8 meters. What is the area of the lot? 2. A triangular landscape has a base of 24 meters and a height of 12 meters. Find its area. 3. A trapezoidal lawn has an upper base of 16 meters and a lower base is 30 meters. The distance between the parallel bases is 10 meters. If the lawn is to be planted with Bermuda grass, how many square meters of Bermuda grass will be needed 4. A rectangular banner has a length of 5 meters and a width of 3 meters. Find the area. 5. What is the area of a soccer ground square in shape with a side of 8 meters? A = G= O= N= S = och sa A= och *You will use the letters in each problem above
The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².
How to calculate the area?Area of a parallelogram will be:
= Base × Height
= 20 × 8
= 160m²
The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:
= 1/2 × base × height
= 1/2 × 24 × 12
= 144m²
The area of the trapezium will be:
= 1/2 × (a + b) × h
= 1/2 × (16 + 30) × 10
= 1/2 × 46 × 10
= 230m²
The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:
= Length × Width
= 5 × 3
= 15m²
The area of a soccer ground square in shape with a side of 8 meters will be:
= 8 × 8
= 64m²
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A company collects data on its employees. It finds that
. 20% of employees in each department are part-time,
80% of employees in each department are full-time, and
• each of the company's four departments has 45 employees.
How many part-time and full-time employees does the company have?
Answer:
9 Part-time employees
36 full-time employee
Step-by-step explanation:
20% multiply by 45 = 9
80% multioly by 45 =36
therefore to check if your answers are correct add 9 + 36 which gives you 45, the total number of employees in each company's four department.
Answer:
The company has 144 full-time employees and 36 part-time employees.
Step-by-step explanation:
The company has 144 full-time employees and 36 part-time employees because you have to do .20*45 to get 9 part-time employees per department. Then you can do 45-9 to get 36 full-time employees per department or you can do .8*45, either way is fine. Then you have to multiply 36 by 4 and 9 by 4 to get 144 full-time employees and 36 part-time employees.
Witch one a b c d e giving brainlest
Answer:
E
Step-by-step explanation:
if the x value or y value is 0 the equation is undefined
Solve the equation by factoring. 2x^2 = 28 – x
x = –3.5 or x = 4
x = 2 or x = –7
x = –2 or x = 7
x = –4 or x = 3.5
Answer:
The value of x = 3.5 or -4
Step-by-step explanation:
=> 2x² = 28 – x
=> 2x²+ x - 28 = 0
=> 2x² + 8x - 7x - 28 = 0
=> 2x ( x + 4 ) - 7 ( x + 4 ) = 0
=> (2x - 7 ) ( x + 4 )
=> x = 7/2 = 3.5 or x = -4
Answer:
x = –4 or x = 3.5
Step-by-step explanation:
[tex]2x^{2}=28-x\Longleftrightarrow 2x^{2}+x-28=0[/tex]
[tex]\Longleftrightarrow 2x^{2}-7x+8x-28=0[/tex]
[tex]\Longleftrightarrow x(2x-7)+4(2x-7)=0[/tex]
[tex]\Longleftrightarrow (2x-7)(x+4)=0 \ \ \ \ \text{factor out} \left( 2x-7\right)[/tex]
[tex]\Longleftrightarrow 2x-7=0 \ \ or\ x+4=0\ \ \ \ \text{(zero product rule)}[/tex]
[tex]\Longleftrightarrow x=\frac{7}{2} \ \ or\ x=-4[/tex]
7n = 7; n=0 solution or not a solution
Answer:
No
Step-by-step explanation:
Plugging in n=0 into the equation gets us:
7(0) = 7
0 = 7
This says that 0 = 7 which is not true
what exactly are the answers?
Answer:
40%, 40%
Step-by-step explanation:
The % of shoppers that have an email account is
100 × Sum of shoppers under "email account" row/ Total number of shoppers= 100 • (45+15)/150
= 40%
Same thing happens with the second question.
100 × Sum of shoppers in "Computer at home" column/ Total number of shoppers= 100•(45+15)/150
= 40%
standard form of 2⋅3⋅7⋅q⋅t
Answer:
42qt
Step-by-step explanation:
First, multiply 2 x 3 x 7
2 x 3 = 6
6 x 7 = 42
Second, q x t
Qt
Third, put together
42qt
Hey this is math algebra can u guys help?
Answer:
k = 15
Step-by-step explanation:
k + 45 = 60
k = 60 - 45
k = 15
The tongue of a giraffe is about 18 inches long. How many centimeters long is it?
Answer:
18 inches is equal to 46 CM rounding or 45.72 CM without rounding.
Please mark brainliest if this helped you :)
Step-by-step explanation:
Question
Find the value of y for the given value of x.y=x/3+5;x=6
[tex]xy = \frac{x}{3} + 5\\x = 6\\(6)y = \frac{(6)}{3} + 5\\6y = 2 + 5 = 7\\y = \frac{7}{6}[/tex]
Draw a box between the
A. minimum; maximum
B. first quartile; third quartile
C. second quartile; third quartile
D. first quartile; second quartile
and
Draw a box between the first quartile; third quartile
please help I don’t understand this
Answer:
136
Step-by-step explanation:
First you multiply 7•5 which is 35, and sense there is 2 squares with that unit, you multiply 35•2 which is 70. After that you get the middle value by multiplying 6•7, which is 42. Then you add 42+70, and that's 112. Now you have to find the area of the triangle, so you multiply 6•4, and that's 24, but sense there are 2 of them with the same unit you don't need to divide by 2. Then after that you add 112+24 and the total area is 136
Answer:
136 square units
Step-by-step explanation:
A "net" is a map of the surfaces of the prism. If you cut it out and fold along the solid lines, you can shape it into the triangular prism it represents. The area of the net is the area of the prism.
As with any composite figure, its area can be found by decomposing it into parts whose area formulas you know. Here, the net can be cut along the horizontal lines to form a rectangle and two triangles.
__
rectangleThe rectangle has an overall length of 5+6+5 = 16 units, and a width of 7 units. Its area is ...
A = LW
A = (16)(7) = 112 . . . . square units
trianglesEach triangle has a base of 6 units and a height of 4 units. Its area is ...
A = 1/2bh
A = 1/2(6)(4) = 12 . . . . square units
total areaThe composite figure shown has been decomposed into one rectangle and two triangles, so its total area is ...
rectangle area + 2 × triangle area
= 112 + 2×12 = 136 . . . . square units
The surface area of the triangular prism is 136 square units.
NO LINKS!! Find the perimeter of the figure
Answer:
178
Step-by-step explanation:
Perimeter = distance all the way around the outside of a 2D shape
Missing vertical length = 45 - 14 - 17 = 14
Missing horiztonal length = 44 - 8 - 29 = 7
⇒ perimeter = 45 + 8 + 17 + 29 + (45 - 14 - 17) + (44 - 8 - 29) + 14 + 44
= 45 + 8 + 17 + 29 + 14 + 7 + 14 + 44
= 178
Answer:
First finding the perimeter of rectangle
Step-by-step explanation:
Which is 2(17+8)=2(25)=50
Now finding the perimeter of next rectangle
Which is 2(45+29) = 2 (74) =148
Now finding the perimeter of next rectangle
Which is 2(44+14)=2(58)=116
Adding them up we get 116 + 50 +148=314
178 is the correct answer however
I do not why 178 is correct
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEreally need help!! please help me.
Answer:
x=26
Step-by-step explanation:
Since they are complementary
2x+38⁰=90⁰
2x=90⁰-38⁰
2x=52⁰
x=26⁰
I hope it helped you
Answer:
x = 26.Step-by-step explanation:
This is self-explanatory, We just need to find the value of x by doing this:
2x° + 38° = 90°= 2x° = 90° - 38°= 90° - 38°= 52° ÷ 2°= 26°x° = 26°.Brainliest please. I didn't get one on this account.
35
Three boxes are shipped on a truck. Each box has a base of 16 square feet. Two of the
boxes have a height of 3 feet and one box has a height of 5 feet. What is the total
volume, in cubic feet, of the three boxes?
A
240
B
176
С
144
[tex]\neq \lim_{n \to \infty} a_n \pi x_{123} \alpha[/tex]Answer:
Step-by-step explanation:
There are 3 boxes. The formula for volume is lxhxw, (length x height x width)
which point shows the approximate value of √40 on the number line
Answer:
6
Step-by-step explanation:
There is no perfect square root of 40 but when calculated it would be 6.33 which rounds down to 6.