Answer:
21
Step-by-step explanation:
[tex]f^{3}[/tex] + 11g - 4h
f = 3, g = 2 and h = 7.
Substitute the above values into the expression.
[tex]3^{3}[/tex] + 11 × 2 - 4 × 7
Since there's no addition, subtraction or division signs between 11g and 4h, this basically shows that it is multiplied. Simplify further...
[tex]3^{3}[/tex] is 3×3×3 which equals to 27
11 × 2 equals to 22, and
-4 × 7 = -28
Put all these found values into an expression.
27 + 22 - 28
Use the B.O.D.M.A.S. rule. First we have to add then subtract.
(27 + 22) - 28
49 - 28 = 21
Ashley spent 30% less buying her English reading book than Tommy. Gianna spent 9% less than Tommy. Gianna spent more than Ashley by what percent.
Answer:
Gianna spent 21% more
Step-by-step explanation:
30-9=21
Can someone please explain how to simplify expressions that have negative and positive exponents
Answer:
see below, I hope it's helpful
Step-by-step explanation:
Simplifying expressions...
1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step
2. Follow PEMDAS
3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)
examples x^(-4) = 1/(x^4)
3^(-x) = 1/(3^x)
(2/x)^(-n) = (1/(2/x))^n = (x/2)^n
2^(-x^3) = 2^(-3x) = 1/(2^3x)
so for example
2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can
1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it
1/(x^n) - 1/(x^n) + (1/((-n)^2x)
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
I'm just learning about this help please
794.561 x 10 2
Answer:
79456.1
Step-by-step explanation:
is it 794.561 × 10(2)?
4(-2x-7) use distributive property to expand it
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28
2 + 6m + 7 = 57
full answer no words pls i just wanna copy and paste
Answer:
8
Step-by-step explanation:
2+6m+7=57
6m=57-7-2
6m=50-2
6m=48
m=48/6
m=8
Answer:
= 8
Step-by-step explanation:
Brainliest?
Some money was invested at 12% interested for 2 years. If the interest was $21, how much was invested?
Answer:
$87.5 was invested
Step-by-step explanation:
10.5 is 12% of 87.5, so if the money was in the bank for 2 years, we would have to do 10.5*2 which is 21, and that's how much money was gained from the investment.
which number is an integer? 6 4.2 3/4 5 1/2
Answer:
5, 6
Step-by-step explanation :
Can someone help pls
Answer:
That means the missing side length is 15
Step-by-step explanation:
We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.
Answer:
hi
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {8}^{2} + {b}^{2} = {17}^{2} \\ {b}^{2} = {17}^{2} - {8}^{2} \\ {b}^{2} = 289 - 64 \\ {b}^{2} = 225 \\ b = \sqrt{225} \\ b = 15[/tex]
hope it helps
Have a nice day
byee
Isaiah is saving money every week. Isaiah started with $14 and added $20 every week. Find the rate of change.
Answer:
42.86%
Step-by-step explanation:
Rate of change = (change in amount saved / amount first saved) x 100
change in amount saved = $20 - $14 = $6
($6/$14) x 100 = 0.428571 = 42.86%
Answer:
$20
Step-by-step explanation:
8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).
Answer:
slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]
Thus, the slope is [tex]-\frac{1}{3}[/tex].
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
Answer:
(−8,−2)
Step-by-step explanation:
Convert 0.665 to a percent
Answer:
66.5%
Step-by-step explanation:
The decimal 0.665 equals 66.5%
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.665 × 100 = 66.5% (answer).
➥ The ease way:
1) Move the decimal point two places to the right: 0.665 → 6.65 → 66.5.
2) Add a % sign: 66.5%
Answer: 66.5%
Move the decimal point two places to the right: (how I learned) 0.665, 6.65, 66.5.
That makes the answer 66.5%
a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP
9514 1404 393
Answer:
24.5 kJ
Step-by-step explanation:
Kinetic energy is given by the formula ...
KE = 1/2mv² . . . . . where m = mass
The gazelle's kinetic energy is ...
KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters
= 24,500 J . . . . . . 1 J = 1 kg·m²/s²
= 24.5 kJ . . . . . . . 1000 J = 1 kJ
Peanuts are priced at 3.38 per pound. Derek buys a sack of peanuts for 15.82. Which measurement is a reasonable estimate of the weight of the peanuts that are in the sack?
Given :
Price per pound of peanuts is, P = $3.38 .
Derek buys a sack of peanuts for $15.82.
To Find :
The weight of the peanuts that are in the sack.
Solution :
Let, weight of peanuts that are in the sack are x.
So, [tex]x = \dfrac{15.82}{3.38}\\\\x = 4.68\ pounds[/tex]
Therefore, number of pounds in the sack is 4.68 pounds.
which graph showed exponential growth
I need the answers pls :D
Answer:
a) Supplementary
b) Complementary
c) Complementary
d) Neither
e) Neither
f) Supplementary
Steps:
For complementary and supplementary angles to be a thing they have to be adjacent!
Complementary: 90 degrees is the sum of two angles
Supplementary: 180 degrees is the sum of two angles
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
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Anyone know??????????
Answer:
(2,2)
Step-by-step explanation:
The answer is where the two lines intersect.
Answer:
the answer is probably 2,2, not sure tho.
Find the length of the third side. If necessary, write in simplest radical form
Answer:
7
Step-by-step explanation:
a squared + b squared = c squared
plug it in to get
4 root 2 squared +b squared = 9 squared
(4 root 2)(4 root 2)=32
and 9 squared is 81
so the equation is
32+b squared = 81
subtract 32
b squared = 49
square root both sides
b=7
The length of the missing side is [tex]3\sqrt{5}[/tex]
Pythagoras theorem
The square of the hypotenuse is equal to the sum of the square of the other two sides
From the given diagram;
[tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]Get the unknown side "x"
[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]
Hence the length of the missing side is [tex]3\sqrt{5}[/tex]
Learn more on pythagoras theorem here: https://brainly.com/question/343682
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
Solve for x.
-5/6x-1/9x=-102
x = ______?
Answer:x=1/108 is your answer
-5/6x-1/9x=-102
1/x(-5/6-1/9)=-102
1/x=-102/(-17/18)=-102×-18/17=108
x=1/108
Answer:
X= 108 100%
Step-by-step explanation:
can you answer my history question its worth 50 points
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
POINTS
Wealth, fame, power.
Gold Roger the king of the pirates obtained this and everything else the
World had to offer. And his dying words drove countless souls to the seas.
“You want my treasure? You can have it! I left everything I gathered
Together in one place. Now you just have to find it! ”
These words lured men to the grand line, pursuing dreams greater than they
Ever dared to imagine. This is the time known as the great pirate era.
Come on board and bring along,
All your hopes and dreams.
Together we will find everything
That we’re looking for.
One Piece
Compass left behind.
It’ll only slow us down.
Your heart will be your guide.
Raise the sails and take the helm.
That legendary place,
That the end of the map reveals
It’s only legendary,
Till someone proves it real.
Through it all,
Through all the troubled time,
Through the heartache
And through the pain.
Know that I
Will be there to stand by you,
Just like I know you’ll stand by me.
So come on board and bring along,
All your hopes and dreams.
Together we will find everything
That were looking for.
There is always room for you,
If you want to be my friend.
We are!
We are
On a cruise!
We are!
Answer:
i honestly don’t know if there was a question
Step-by-step explanation:
PLZ HELP ASAP it’s due by midnight
an airplane is preparing to land at an airport it is 48,000 ft above the ground and it is descending at the rate of 3,300 ft per minute at the same airport another airplane is taking off and will ascend at the rate of 2,700 ft per minute when will the two airplanes be the same altitude and what will that altitude be
Answer:
8 minutes
alt. = 21,600 ft
Step-by-step explanation:
Isolate the variable.
48,000 - 3,300x = 2,700x
48,000 = 2,700x + 3,300x
48,000 = 6,000x
8 = x
8 minutes
Substitution.
48,000 - 3,300(8) = 2,700(8)
48,000 - 26,400 = 21,600
21,600 = 21,600
21,600 ft
please answer me its math question!
Answer:
25
Step-by-step explanation:
the angles and complementary so they add up to equal 90
90-65=25 so x = 25
NEED HELP PLEASE I ONLY HAVE 3 MINUTES LEFT WILL GIVE BRAINLIEST PLS HELP
Explain the Angle Theorems and solve out the following the applications:
Answer:
Step-by-step explanation:
B =20+20 = 40
Then because the side issue B and issue C are congruent their angles are congruent so angle C = 40
A triangle is 180 total so subtract B and C to find A
A = 180-40-40 = 100
I do not remember the names of all the theorems.
Joe bought 17 carrots and 12 potatoes. The ratio of the number of carrots to the number of potatoes is
Answer:
17 : 12
Step-by-step explanation:
A ratio is another way of expressing a fractional relationship between two or more values. In this case, the problem is asking one to represent the relationship between carrots to potatoes. It gives the number of carrots to the number of potatoes, so all one has to do is substitute in the number.