Answer:
d
Step-by-step explanation:
I mean the 1st and 2nd ones are unreasonable and 3 is jus unrealistic
I WILL GIVE BRAINLIEST! PLEASE HELP ME!
needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.
now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.
well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.
if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
hello
g (x)= x² - 5
g (3) = 3² - 5 = 9 - 5 = 4
Step-by-step explanation:
Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?
Answer:
$13,082.60 more
Step-by-step explanation:
Melanie:
[tex]A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36[/tex]
Amelia:
[tex]A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95[/tex]
Amelia-Melanie= $13,082.60
Vic has 14 coins in nickels and quarters the value of this coins is 1.70 how many quarters does he have
Answer:
4 quarters
Step-by-step explanation:
4 quarters = $1
14 nickels = $0.70
La distancia entre dos ciudades A y B es de 255 km. Un automovil sale de A hacia B a una velocidad de 90 km/h. Al mismo tiempo sale, otro automovil de B hacia A a una velocidad de 80 km/h. Suponiendo su velocidad constante , calcula la distancia que ha recorrido cada uno hasta el momento del encuentro
Usando proporciones, hay que:
El auto A hay recorrido 135 km.El auto B hay recorrido 120 km.¿Qué es una proporción?Una proporción es una fracción de la cantidad total.
En este problema, dos automovis, en sentidos opostos, salen al mismo tiempo. Por eso, su velocidad relativa es de 90 km/h + 80 km/h = 170 km/h.
La distancia es de 255 km, por eso, el tiempo en que se encontraran, en horas, es dado por:
t = 255/170 = 1.5h
La distancia recorrida por cada auto es dada por:
dA = 90 x 1.5 = 135 km.
dB = 80 x 1.5 = 120 km.
Puede-se aprender mas a cerca de proporciones en brainly.com/question/26425852
A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
$22.50
$27.50
$32.50
$37.50
Answer:
22.50
Step-by-step explanation:
25% of 30 is 7.50
30-7.50 is 22.50
Answer: A: $22.50
Step-by-step explanation:
The original price of the game, $30, is 100%.
If the game if 25% off, then it will be, (100 - 25), 75% of its original price.
All we need to do is 75% x 30:
0.75 x 30 = 7.5 x 3 = $22.50
So your answer is A: $22.50
7x^2+16-8
Solve using the Quadradic Formula, and round to the nearest hundredth as needed.
Someone please help-
Answer: 0.45 and -2.74
Step-by-step explanation:
You're going to want to use the Quadratic Formula, so (-b±√(b^2-4ac))/2a.
When you plug in you should get -16 ± √16^2-4(7)(-8)/2(7)
-16± √(256+224) all divided by 2 x 7 or 14
(-16 ± 22.3607)/14
0.45 and -2.74 are your answers
NEED HELP ASAP!!!!
Which equations define y as a linear function of x ?
Select all that apply.
A
y=2x
B
y=5x3+3
C
y=12x−9
D
y=x2
E
y=4x2+2x
F
y=2(4x−2)+16
Answer: A, C, F
Step-by-step explanation:
what is 1/100 of 2.14
Answer:
.0214
Step-by-step explanation:
2.14 * .01 = .0214
to check:
.0214 * 100 = 2.14
What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
Formula for volume of hemisphere;
V = 2/3 * π * [tex]r^{3}[/tex]
π - pi, which is 3.14 or 22/7
r = radius (half of the diameter/ 1/2 x diameter)
Since we are given the diameter, we find 1/2 of the diameter to find the radius.
1/2 x 8.9(diameter)
8.9/2 = 4.45 is our radi.
So now, we plug in this value into our equation.
V = 2/3 * π * [tex]r^{3}[/tex]
V = 2/3 * 22/7 * 4.45^3
V = 2/3 * 22/7 * 88.12
V = 2/3 * 276.95
V = 184.63 cubic centimetres.
2640 yards= ________ miles
complete each conversion
After converting yards to miles:
2640 yards = 1.5 miles
Given,
2640 yards= ________ miles
Now,
To convert to yard to miles the conversion factor is 0.000568182.
So,
1 yard ⇒ 0.000568182 miles
Multiply 2640 on both sides,
2640 yards ⇒ 1.5 miles.
Therefore 2640 yards is equivalent to 1.5 miles.
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There are 8 fluid ounces in 1 cup...
Answer: 4 cups
Step-by-step explanation:
First, convert the 6 cups of water to fluid ounces:
6 cups (8 fluid ounces / 1 cup) = 48 fluid ounces.
Then, since each bowl took 4 fluid ounces, and there are 4 bowls, the total fluid ounces used must be 16.
Thus, if there was 48, and 16 were used, 32 fluid ounces must be left. Convert this to cups by dividing by 8 and getting 4 cups.
Triangle ABC has side lengths 12, 16, and 20. Do
the side lengths form a Pythagorean triple?
Explain.
Answer:
no they dont form a Pythagorean triple
Step-by-step explanation:
a2 + b2 = c2
you buy a fancy 5 year eco light bulb for $9.79. How much does this light bulb cost you per year
What is the volume of the triangular prism
Answer:
A.
Step-by-step explanation:
hope its help^^
#carry on learningCan someone please HELP ME I HAVE A TEST TMRW I STUDIED BUT I FORGOT HOW TO DO THIS STUFF CAN SOMEONE EXPLAIN IT TO ME
Answer:
1. (a. 8 b. 3 d. 6,6,12 e. 3,3,9) 2. (a. 2,3 b. 4,5 c. 6,6,2,3 d. 5,3,5) 3. (a.2/3 b.1/3 c.2/3 f.1/2 g.7/8 h.4/5)
Step-by-step explanation:
OK this is quite simple. Just multiply the top and bottom, otherwise known as the numerators and denominators, by whatever is next to it. In this case, 1a is [tex]\frac{2*4}{5*4}[/tex].
That would result in [tex]\frac{8}{20}[/tex]
Hey there!
In order to multiply fractions, we should multiply the numerator of the 1st fraction by the numerator of the 2nd fraction.
Same with denominators.
Let's multiply these fractions.
2/5=2*4/5*4=8/20
2/3=2*6/3*6=12/18
1/4=1*3/4*3=3/12
3/4=3*3/4*3=9/12
now divide:
10/15=10:5/15:5=2/3
12/18=12:6/18:6=2/3
12/15=12:3/15:3=4/5
15/25=15:5/25:5=3/5
Now, simplify the following fractions:
4/6
divide the top & bottom by 2:
2/3
next:
5/10
divide the top & bottom by 5:
1/2
next
5/15
divide the top & bottom by 5:
1/3
next:
12/18
divide the top & bottom. by 6
2/3
next
5/10
divide the top & bottom by 5
1/2
next
14/16
divide the top & bottom by 2
7/8
and then last but not least
28/35
divide the top & bottom by 7
4/5
And we're done!
Hope everything is clear.
Let me know if you have any questions!
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:-)
I have already done Number one but I need help with 2. Please help when you find time to!
Answer:
Step-by-step explanation:
Formulae
Area of a triangle = 1/2 x base x height
Area of a rectangle = width x length
Question 1
Surface area of square based pyramid = area of base + 4 × area of triangle
⇒ SA = (6 × 6) + 4(1/2 × 6 × 14)
= 36 + 168
= 204 yd²
Question 2
Surface area of a cuboid = 2 × base area + 2 × end area + 2 × side area
⇒ SA = 2(10 × 6) + 2(6 × 3) + 2(10 × 3)
= 120 + 36 + 60
= 216 mm²
Extra credit question
Surface area of a triangular based prism = base area + 2 × triangle area + 2 × side areas
base area = 3 × 10 = 30 mm²
triangle area = 1/2 × 3 × 2 = 3 mm²
side area = 10 × 2.5 = 25 mm²
⇒ total SA = 30 + (2 × 3) + (2 × 25)
= 30 + 6 + 50
= 86 mm²
❍ Concept :-
We can solve these questions by using the formulas of area of triangle and rectangle, which will make our work easier. So, we know that,
⠀
[tex] \blue{ \underline{ \boxed{ \begin{array}{cc} \sf1. ~Area_{Triangle} = \dfrac{1} {2} \times b \times h \qquad \: \: \: \: \: \: \: \\ \\ \\ \sf2. \: Area_{Rectangle} = Length \times Breadth \end{array}}}} \\ \\ [/tex]
Using these formulas and figuring out the number of triangles and rectangles in each shape, we will solve this question.
⠀
✰ Solution :-
⠀
1. In this square pyramid, if we closely observe, we will get to know that there are 1 rectangle and 4 triangular faces. Thus,
⠀
[tex]\sf \hookrightarrow Area=6 \times 6 + 4( \dfrac{1}{2} \times 6 \times 14) \\ \\ \\ \sf \hookrightarrow Area=36 + 168 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {204 \: yd}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]
⠀
2. Now, here, we can use the formula of total surface area for cuboid, i.e.
⠀
TSA = 2( lb + bh + hl )
⠀
[tex]\sf \hookrightarrow Area=2(10 \times 6 + 6 \times 3 + 10 \times 3) \\ \\ \\ \sf \hookrightarrow Area=2(60 + 18 + 30) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=2 \times 108 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {216 \: mm}^{2} \: \: \qquad \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
⠀
Extra Credit Question.
⠀
Here, we can find out the total surface area by finding,
⠀
Base area i.e. length x breadth ( B.A. )
Side area i.e. length x breadth ( S.A. )
triangular area = 1/2 x b x h ( T.A. )
⠀
Now,
⠀
TSA = BA + 2 x S.A. + 2 x T.A.
⠀
[tex]\sf \hookrightarrow Area=(10 \times 3) + 2(10 \times 2.5) + 2(\dfrac{1}{2} \times 3 \times 2) \\ \\ \\ \sf \hookrightarrow Area= 30 + 2 \times 25 + 2 \times 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=30 + 50 + 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {86 \: mm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
explain of how you got the answer for this work
Answer:
Mariah's investement is growing faster
Step-by-step explanation:
Here to find the rate at which the savings are growing at, we have to observe the slope of the line which describes the line representing the savings of each as a function of time.
The slope of a line is given by the relation;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Where m is the slope.
(x1,y1) is any point on the curve.
(x2,y2) is any other point on the curve.
Let's start of with Mariah by picking any 2 points from the table.
(0,150)
(1,159)
[tex]m(mar) = \frac{159 - 150}{1 - 0} = \frac{9}{1} = 9[/tex]
Let's move on to Mauricio's line and choose 2 points that lie on that line.
(0,190)
(1,195.7)
[tex]m(mau) = \frac{195.7 - 190}{1 - 0} = \frac{5.7}{1} = 5.7[/tex]
By looking at both slopes, we see that Mariah's growth rate (slope) 9>Mauricio's growth rate (slope) which is 5.7
Please I give lots of points
Answer: y = 12.5x
Step-by-step explanation:
Because 250 bottles are filled every 20 minutes:
250/20=12.5
So, x=1, y=12.5
Hence, x=2 y=25
Because the number of bottles is directly proportional to the operation of the machine so:
12.5=a+b, 25.2a+b
a=12.5, b=0
Therefore, the equation is y = 12.5x
The Desmos graph of y = 12.5x is attached below
What is the length of the side of a square if it's area is 0.49 square units?
Answer:
a=0.7
A Area
0.49
Using the formula
A=a2
Solving fora
a=A=0.49=0.7
if 5/8 of the 40 seeds sprouted how many seeds did not sprout
Answer:
15
Step-by-step explanation:
[tex]since \: \: \frac{5}{8} \times 40 \\ = 25[/tex]
[tex]those \: that \: did \: not \: sprout \: would \: be \\ \: equals \: to \: 40 - 25 \\ = 15[/tex]
Which answer us correct????
Answer:
the one you click is correct.
Step-by-step explanation:
Use the right triangular prism to find the total surface area of the prism. Leave label off answer.
Step-by-step explanation:
the total surface area is the sum of the 5 individual areas in the surface :
2 triangle sides (left and right).
1 back rectangle side
1 rectangle floor
1 inclined rectangle front side
to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90° angle).
c² = 3² + 4² = 9 + 16 = 25
c = 5
so, now, we have everything we need.
the area of a triangle side (since it is right-angled) :
4×3/2 = 6
2 sides, that makes 12
the area of the back side
6×3 = 18
the area of the floor
6×4 = 24
the area of the inclined front side
6×5 = 30
so, the total surface area is
12+18+24+30 = 84
The middle school will lose some of its funding if 50 or more students move away in any year. The principal claims he only loses about 30 students a year. Do the values in the table support his claim? Explain.
3 kitchen assistants can prepare 10 kg of vegetables in 60 minutes. How long would it take 25 assistants to prepare the same amount?
Answer:
App. 83.33 kg
Step-by-step explanation:
10/60=0.167 kg/minute
0.167/3=0.056 kg/minute/person
0.056 x 25 x 60= 83.33...6
Which expression shows how to find the quotient of 4.8÷2?
A. (4÷2)+(0.8÷2)
B.(4÷2)+(0.08÷2)
C. (0.4÷2)+(8÷2)
D. (0.04÷2)+(0.8÷2)
*I will mark you brainliest answer if you answer with a step by step explanation+ your answer:)*
Answer:
[A] (4 ÷ 2)+(0.8 ÷ 2)
Step-by-step explanation:
Divide the 2 into each digit, which must be in the same spot it was before:
Knowing that 8 in 4.8 ⇒ 0.8
Thus, you can infer that [B] is wrong
You also infer that [D] and [C] is wrong because 4 is a whole number.
Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2
Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.
~Learn with Lenvy~
Answer:
Option A
Simplification:
[tex]\rightarrow (4 + 0.8) \div 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{4.8 can also be written as 4 + 0.8}][/tex]
[tex]\rightarrow \dfrac{(4 + 0.8)}{2} = \dfrac{4 + 0.8}{2}[/tex]
[tex]\rightarrow \dfrac{4}{2} + \dfrac{0.8}{2}[/tex]
[tex]\rightarrow (4 \div 2) + (0.8 \div 2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[Option A}}][/tex]
Write the following series in sigma notation.
7 + 16 + 25 +34 +43 +52 + 61
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: [tex]\sum\limits^7_{n=1} {9n - 2}[/tex]
How to write the series in sigma notation?The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
First term, a = 7Common difference, d = 9Number of terms, n = 7Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
[tex]\sum\limits^7_{n=1} {9n - 2}[/tex]
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Help Please!!!!!!!
I give Brainlist
Your grandmother gives you $1500 to invest in a savings account on your 15th birthday. The only condition is that you may NOT use it until you have graduated high school at 18. After researching savings accounts, you come up with two options.
1) A high interest savings account, with 2.5% simple interest annually or
2) A High Yield Savings account with 2% interest compounded annually.
Which account will you chose and why?
Answer:
Step-by-step explanation:
This is a logical question that can be d=solved thus;
To decide which decision to make,one has to calculate the amount for both methods to detrmine which is higher.
1. Using simple interest formula of ( P X R X T)/ 100
Since p = 1500, r = 2.5%, T = 3
1500 x 2.5% x 3 / 100 = 1500 x 0.025 x 3 / 100
112.5 / 100 = 1.125
to find amount = 1.125 + 1500 = 1501.25 for the three 3years.
2. Using compound interest formula of ( P ( 1 + r/n)∧nt
1 + (2%/3) ∧3(3)
1500( 0.02/3) ∧ 9
1500 x 0.006 ∧9
1500 x 2.60 = 3900
A = 3900 + 1500 = 5400
SO FROM THE ABOVE I WILL G FOR THE HIGH YIELD SAVINGS AS IT IS HIGHER THAN THE INTEREST SAVINGS
Given the data from the question, the best account to use is:
A high interest savings account, with 2.5% simple interest annually (Option 1)
Simply interest formula
I = PRT / 100
A = I + P
Where
I is the interest P is the principal R is the rate T is the time A is the amount after time tCompound interest formulaA = P(1 + r/n)ⁿᵗ
Where
A is the amount after time tP is the principal r is the rate t is the time n is number of times compounded per annual Case 1 (simple interest) Principal (P) = $ 1500Rate (R) = 2.5%Time (T) = 3 years Interest (I) =? Amount (A) =?I = PRT / 100
I = (1500 × 2.5 × 3) / 100
I = $ 112.5
Thus
A = I + P
A = 112.5 + 1500
A = $ 1612.5
Case 2 (compound interest) Principal (P) = $ 1500Rate (R) = 2% = 0.02Time (T) = 3 years Number of time compounded annually (n) = 1Amount (A) =?A = P(1 + r/n)ⁿᵗ
Since n = 1,
A = P(1 + r)ᵗ
A = 1500(1 + 0.02)³
A = $ 1591.8
SUMMARY
The amount at the end of 3 years using:
A High interest savings account, with 2.5% simple interest annually is $ 1612.5A High Yield Savings account with 2% interest compounded annually is $ 1591.8Thus, the best account to use is a high interest savings account, with 2.5% simple interest annually (option 2)
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Devon’s favorite applesauce recipe calls for 2 teaspoons of cinnamon for every 3 apples. There is a proportional relationship between the number of apples
Answer:
3x=2y
Explanation:
There is a proportional relationship between the number of apples and teaspoons of cinnamon that is 3x = 2y.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that Devon’s favorite apple sauce recipe calls for 2 teaspoons of cinnamon for every 3 apples.
Now, let x be the number of apple and y be the teaspoons of cinnamon
the proportion are;
x/2 = y/3
Therefore, the proportional relationship between the number of apples and teaspoons of cinnamon is
3x=2y
More can be learned about proportions at;
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Please help me! There is a picture!
Hey there!
In order to multiply fractions, all we should do is multiply the numerator of the first fraction times the numerator and the denominator of the first fraction times the denominator of the second one:
[tex]\bold{\displaystyle\frac{2}{7} x\frac{1}{3} }[/tex]
Multiply 2 times 1 and 7 times 3:
[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{21} }}}[/tex] (Final Answer)
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
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[tex]\rule{200}{2}[/tex]