Answer:
Step-by-step explanation:
What is the value of 6(2b-4) when b =5 2. The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get.
can i have brainly please :) thanks bro
Answer: 36
Step-by-step explanation:
. SCULPTURE An artist creates two metal sculptures in the shape of regular octagons. A side of the larger sculpture is 3.5 times longer than a side of the smaller octagon. The area of the smaller octagon is 19.28 square inches.
a. What is the area of the larger octagon?
b. The artist is going to pack the sculptures in a cylindrical box to take them to an art show. To the nearest inch, what is the diameter of the smallest box he can use? Explain your reasoning. (Hint: Find the radius of the larger octagon.)
By using what we know about octagons, we will see that:
a) The area is 244.89 in^2b) The diameter is 18.58 inWhat is the area of the larger octagon?
For an octagon of side length S, the area is:
A = 2*(1 + √2)*S^2
In this case, the area of the smaller octagon is:
19.28 in^2 = 2*(1 + √2)*S^2
Solving for S we get:
S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in
If we apply an enlargement of a factor 3.5, the new side length is:
S' = 3.5*2.03 in = 7.11 in
Then the area of the larger octagon is:
A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2
b) For an octagon of side length S, the radius is:
R = S*√(1 + 1/√2)
Then the radius of the larger octagon is:
R' = (7.11 in)*√(1 + 1/√2) = 9.29 in
Then the diameter of the box must be:
D = 2*R' = 2*9.29 in = 18.58 in
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PLEASE HELP! Will Give brainliest!
Answer:
1
Step-by-step explanation:
definite integral from 0-2 of root x dx
root x = x^½
integral of x^½ = ⅔x^(3/2)
Your brand new car costs 16000 dollars. If sales tax is 8%, how much will it truly cost
with sales tax?
Sales tax amount:-
8% of 16000$0.08(16000)8(160)1280$Price:-
16000+128017280$Answer:
$17,280
Step-by-step explanation:
Given
Cost of car = $16,000Sales tax = 8%Solving :
When sales tax is added to the cost, the final cost will be 8% more than 16,000 or 108% of 16,00016,000 x 1.08$17,280 is the actual price of the car with tax4. Let f(x) = x2 - 81. Find f'(x). (1 point)
O
+ Vx+81
09x
w
1
x2 -81
81
Here we are given that ;
[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]
Differentiating both sides w.r.t.x ;
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]
This is the required answer
The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft2. What is the value of x? Show your work. The numbers are 59ft, 13ft, 6 ft, 7ft, 9ft is the porch, x ft
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
How to calculate area?
Combined area = big rectangle + smaller rectangle - triangle
Hence:
733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)
733 = 767 - 13x + 9x - x + 6
x = 8 feet
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
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y = x + 2
5x - 4y = -3
Solving systems by equations
Answer: x = 5, y = 7
Step-by-step explanation:
First, put the variables together/rearrange:
y - x = 2 & 5x - 4y = -3
Cancel out variable x by multiply the first equation by 5:
5y - 5x = 10 & 5x - 4y = -3
Add equations:
y = 7
Then determine x by plugging y back into the first equation y = x + 2:
x = 5
1000 masks were distributed equally among a certain number of people. if there were 5 more people more , each would have received 10 masks less. among how many people was the mask distributed ?find it .
Answer:
10+5 =15 thanks for asking
Rob goes to a store and buys a camera originally priced at $30. The store is running a discount of 18%. The sales tax rate is 7.4%. What is the final price of the camera?
pls help asap
Answer:
$26.42
Step-by-step explanation:
P = 30 * 0.82 * 1.074 = 26.42
Tom knows that in his school 10 out of every 85 students are left-handed.
There are 391 students in Tom's school.
how many students in Tom's school are left handed?
Answer:
46 are left handed
Step-by-step explanation:
divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46
Simplest radical form please !!Need answers asap
Answer:
11) [tex]5\sqrt{7}[/tex] yd
12) [tex]2\sqrt{10}[/tex] cm
13) 9 ft
14) [tex]\sqrt{95}[/tex] cm
15) [tex]5\sqrt{5}[/tex] km
16) [tex]\sqrt{39}[/tex] yd
an unknown number is increased by -3. the result is -8
find the unknown number
Answer:
The unknown number is -5.
Step-by-step explanation:
-3 + -5 = -8
-8 - -3 = -5
-8 - -5 = -3
You make commission working at Footlocker. On Saturday you sold
$1,500 worth of merchandise and made $120 in commission. On
Sunday you sold $1,300 worth of merchandise. If you made the same percent commission,how much did you earn on Sunday?
A. $8
B. $86. 66
C. $104
D. $1,039. 99
Answer:
C. $104
Step-by-step explanation:
First, we need to figure out what percent $120 is of $1500.
120 ÷ 1500 = 0.08 = 8%. So, $120 is 8% of $1500, and this is the percentage that'll be used to calculate Sunday's commission.
0.08 (8%) × 1300 = 104
Thus, you earned $104 on Sunday.
paul says x/y can result in either positive or negative quotient. is paul correct? explain why or why not.
Answer:
Dividing by same signs give a positive answer.
Dividing by different signs give a negative answer.
Step-by-step explanation:
Quotient is just a term for the answer given by a division problem.
positive/positive = positive
positive/negative = negative
negative/positive = negative
negative/negative = positive
-4-(3) =
3+(-5) =
4+6=
-5-9=
-4+(-9) =
Step-by-step explanation:
-4-(3)=-7
step two
3+(-5)=-2
step three
4+6=10
step four
-5-9=-14
step five
-4+(-9)=-13
Answer:
a) -4 - ( 3) = - 7
b) 3 + ( -5) = 3 - 5 = -2
c) 4 + 6 = 10
d) -5 -9 = - 14
e) -4 + ( -9) = -4 -9 = - 13...
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 contains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?
There are different kinds of math problem. There will be 11 rats in sewer #1.
What are word problem?The term word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.
Lets take
sewer #1 = a
sewer #2 = b
sewer #3 = c
Note that A=B-9
So then you would have:
A=B-9
B=C- 5
A+B+C=56
Then you have to do a substitution so as to find C:
(B- 9) + (C-5) + C = 56
{ (C- 5)-9} + (C-5) + C = 56
3C - 19 = 56
3C = 75
B = C- 5
B = 25 - 5
Therefore, B = 20
A = B - 9
= 25 - 9
=11
Therefore, there are are 11 rats in sewer #1
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What are the inputs of the function below? x –8 2 4 6 f(x) –6 –3 1 5 –6, –3, 1, 5 –6, –3, 4, 6 –8, 2, 4, 6 –8, 2, 1, 5
The inputs of the function are -8, 2, 4, and 6.
What is the input function?The input is the number that we put into the given function to get the output function.
x and y of the function are given below
X –8 2 4 6
f(x) –6 –3 1 5
From the given table, the inputs are given as the set of x values.
outputs are given as the set of y values. here, x is the input value that gives the output f(x).
Since x represents the input values and y represents the output values.
So, inputs of the function are -8, 2, 4 and 6
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You pick a card at random.
3 4 5 6
What is P(not 6)?
Write your answer as a fraction or whole number.
Answer:3 or 3/10
Step-by-step explanation:
A flat-bottomed ice cream waffle cup is shaped like a 72 mm tall cone with a 42 mm diameter opening at the top, but with the bottom 24 mm of the cone replaced by a flat waffle bottom with a 14 mm diameter. to the nearest square millimeter, what area of waffle does the cone have?
a.) 4002
b.)4398
c.)4552
d.)4157
The area of waffle in the cone is the amount of space covered by the waffle
The cone has 5630 square millimeter of waffle
How to determine the surface area?
The surface area of a cone is calculated using:
A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))
For the complete 72 mm tall cone, we have:
Height (h) = 72 mm
Radius (r) = 42 mm/2 = 21 mm
So, the surface area is:
A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))
A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))
Evaluate
A = 3.142 * 21 * (21+75)
A = 6334.272
When the cone is cut at the top, we have:
Height (h) = 24 mm
Radius (r) = 14 mm/2 = 7 mm
So, the surface area is:
A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))
A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))
Evaluate
A = 3.142 * 7 * (7 + 25)
A = 703.808
Calculate the difference (d) between the areas
d = 6334.272 - 2.5*703.808
Evaluate
d = 5630.464
Approximate
d = 5630
Hence, the cone has 5630 square millimeter of waffle
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Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))? vertical stretch of 0.35, horizontal stretch to a period of 16 pi, phase shift of startfraction pi over 4 endfraction units to the right vertical compression of 0.35, horizontal compression to a period of 4 pi, phase shift of startfraction pi over 4 endfraction units to the left vertical compression of 0.35, horizontal compression to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right vertical stretch of 0.35, horizontal stretch to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right
The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to rightHow does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]
We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8
Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to rightLearn more about transformation of functions here:
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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right
Step-by-step explanation:
The area of a rectangle is 108 square meters. The width is 9 meters. What is
the length?
Answer:
L= 12
Step-by-step explanation:
area= L×B
108= 9×L
108= 9L
Divide both sides by 9
108/9= 9L/9
L= 12
Find the measure of the missing angles. 25 d e f
20 points!!!Solid metal support poles in the form of right
cylinders are made out of metal with a density of 5.2
g/cm². This metal can be purchased for $0.35 per
kilogram. Calculate the cost of a utility pole with a
radius of 19 cm and a height of 620 cm. Round your
answer to the nearest cent. (Note: the diagram is not
drawn to scale)
Density is mass per unit volume. The cost of the metals from the calculations performed is $1280.
What is density?Density is defined as the ratio of the mass of an object to its volume. We have the following information;
Mass of the metal = ?
Density of the metal = 5.2 g/cm3
height of the metal = 620 cm
radius of the metal = 19 cm
Volume of a cylinder = πr^2h = 3.142 * (19)^2 * 620 cm = 703242cm^3
Mass = density * volume = 5.2 g/cm3 * 703242cm^3
= 3657 Kg
If the cost is $0.35 per kilogram, then 3657 Kg costs; 3657 Kg * $0.35
= $1280
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Please answer soon
(-2 • -4)^2 = ?
Answer:
64
Step-by-step explanation:
(-2(-4))^2
8^2
64
hope that helps
18 less than the quotient of a number and -5 is greater than 3
Step-by-step explanation:
x = "a number"
x/-5 - 18 > 3
Fine the area of the circle. Round to the nearest tenth. Use 3.14 for pie.
Answer:
the answer is 379.9m²
Step-by-step explanation:
half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9
You have decided to purchase a car for $22,346. 16. The credit union requires a 10% down payment and will finance the balance with a 5. 4% annual interest loan for 36 months. The sales tax in your city is 7. 6%, and the license and title charges are $125. 13. Determine the amount that the credit union will finance you for. Round your answer to the nearest cent. A. $24,179. 10 c. $21,761. 20 b. $24,169. 60 d. $21,752. 64.
The amount that the credit union will finance is $24169.60
We have given that the cost of the car is $22,346. 16
and the credit union required 10% down payment
and sale tax=7.6%
The license and title charges are $125. 13.
We have to determine that the amount that the credit union will
finance Now we have sale tax 7.6% for $22,346. 16
Therefore, we get
[tex]\frac{7.6}{100} \times 22,346. 16=1698.31[/tex]
What is the amount that the credit union finance ?credit union finance=cost of car+sales tax+the license and title charges.
[tex]=22346.16+1698.31+12.13\\=24169.60[/tex]
Therefore, the amount that the credit union will finance is $24169.60
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Which expression represents 4 fifths t(negative 10 t)? –8t 46 over 5 46 over 5 –8t2
Answer:
is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.
Step-by-step explanation:
Answer:
–8t^2 or DStep-by-step explanation:
Took the test and got it right.
The present ages of Tina and Mina are in the ratio of 4:5 if the sum of their ages after three years would be 33 years find their present age
Answer:
Tina is 12 and MIna is 15
Step-by-step explanation:
Age problems can often be worked by backing out any of the changes in age so as to match the conditions specified at a given time.
Here, the ratio is given for now. The sum of the two ages is 6 years less now than it will be after 3 years, so is now 33 -6 = 27.
The sum of ratio units now is 4+5 = 9, so each ratio unit stands for 27/9 = 3 years of age. The ratio of current ages is ...
3×4 : 3×5 = 12 : 15
Tina is 12 and MIna is 15.
_____
Check
After 3 years, their ages will be 15 and 18, which will total 33.
A parallelogram with a right angle that is not a rectangle.
Answer:
One is a rhombus.
Step-by-step explanation:
Please Help! Which of the following methods is not used to prove triangles are congruent?
Answer:
AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.
Step-by-step explanation: