Answer:
x=2
Step-by-step explanation:
This is a system of equations that we can solve by using substitution.
We know that y=7. We know that y is also equal to 8x-9.
Since y is equal to both 7 and 8x-9, this must mean that 7 is also equal to 8x-9.
Let's set them equal and solve for x, like so:
\(y=8x-9=\\7=8x-9=\\16=8x=\\2=x\)
So, x=2.
Kim was sitting in row 5, seat 8 at a soccer game when she discovered her ticket was for row 2, seat 3. Write a rule to describe the translation needed to put her in the proper seat.
Answer:
Step-by-step explanation:
We can assume we are seeing these seats as points on a graph with her current position being (8, 5) and her destination being (3, 2). Using these values Kim would need to follow the following rules...
Move 3 positions down to point/seat (8, 2)
Move 5 positions to the left to point/seat (3,2)
Following these instructions, she would correctly transition to the correct seat.
The sum of two numbers is 3. One number is 20 more than the other one. Find the numbers.
Answer:
-8.5 and 11.5
Step-by-step explanation:
let 'n' and 'm' equal the two numbers
we can write this equation: n + m = 3
we can also write 'n = m + 20'
now to solve we can substitute 'm+20' for 'n' in the first equation:
m+20 + m = 3
combine like terms:
2m + 20 = 3
2m = -17
m = -8.5
n = 11.5
EVALUATE FOR MEEEE
18 - 3 (5) + 2
A. 5
B. 6
C. 7
Answer:
Use PEMDAS
(Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)
18 - 3 (5) + 2
18 - 15 + 2
3 +2
5
Answer:
5
Step-by-step explanation:
Question is in the screenshot...
Step-by-step explanation:
m L 1 = 130° (alternate interior angles)
m L 2 = 180°- m L 1 (supplementary)
= 180° - 130° = 50°
Vertical angles are supplementary
m<2
180-13050°m<1
180-50130°Neptune has an approximate orbital speed of 90 kilometers in 18 seconds. what is the rate per second? Help please!!
Answer:
5 km/sec
Step-by-step explanation:
90km/18 sec
90/18 = 5
Given f (3) = 2x® and g(x) = 4x + 3. Evaluate f (g(1)). 200 O 150 O (E) . O 250 O 300
Given f (3) = 2x® and g(x) = 4x + 3, f (g(1)) = f(7) = 98.The correct option is (E) .O 250 O 300
Given f (3) = 2x® and g(x) = 4x + 3. Evaluate f (g(1)). To find out the value of f (g(1)), we need to first find out g(1), and then use that value to find f (g(1)).
So, g(1) = 4(1) + 3 = 7 Now, we can use the value of g(1) to find f (g(1)).
f(g(1)) = f(7) Now, we do not have the value of f(x) for x = 7 or any other value. So, we cannot directly evaluate f(7).
However, we know that f(3) = 2x® We can use this information to evaluate f(7).
To do that, we need to first find out what value of x would give us 7 when we evaluate g(x).
So, we have, g(x) = 4x + 3g(x) = 7 => 4x + 3 = 7 => 4x = 4 => x = 1 Now, we have x = 1, such that g(1) = 7.
Now, we know that f(3) = 2x®. We can use this to find f(7).
f(3) = 2x® => f(3) = 2(3)² => f(3) = 18 => f(3) = 18f(7) = 2x® => f(7) = 2(7)² => f(7) = 98
Therefore, f (g(1)) = f(7) = 98.The correct option is (E) .
To know more about f (g(1)) refer here:
https://brainly.com/question/17279413
#SPJ11
Young people respond more favorably to literature that reflects their cultural customs.
Which one of the following alternatives most accurately describes ethnic and cultural differences in children's reading development?
Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.
Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.
Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.
In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.
To know more about development visit:
https://brainly.com/question/29659448
#SPJ11
1. what is the first step in solving an equation with variables on both sides?
2. what is the second step in solving an equation with variables on both sides?
3. what is the third step in solving an equation with variables on both sides?
4. what is the fourth step in solving an equation with variables on both sides?
5. what must we always remember to do when solving an equation? (1 say this every time we solve an
equation in class.)
The first step in solving an equation with variables on both sides is to simplify each side by combining like terms and applying any necessary operations (e.g., addition, subtraction).
In order to solve an equation with variables on both sides, it is important to follow a systematic approach. The first step involves simplifying each side of the equation by combining like terms and applying any necessary operations such as addition or subtraction.
The second step is to eliminate the variable term on one side of the equation. This is done by performing inverse operations to isolate the variable term. For example, if there is a variable term added to or subtracted from a constant term on one side, we can perform the inverse operation (subtraction or addition) to remove the variable term.
After eliminating the variable term, the third step is to simplify the resulting equation further if needed. This may involve combining like terms or performing additional operations.
The fourth step is to isolate the variable by performing inverse operations on the remaining terms to move them to the opposite side of the equation. This helps in isolating the variable term on one side and the constant term on the other side.
Lastly, when solving any equation, it is crucial to maintain equality. This is achieved by performing the same operations on both sides of the equation. Whatever operation is performed on one side must also be performed on the other side to preserve equality and find the correct solution.
Learn more about equations here:
https://brainly.com/question/29657983
#SPJ11
A pipe has outside diameter of 10 cm,an inside diameter of 8 cm, and a height of 40cm. How much water can fit in the pipe round your answer to the nearest tenth of a cubic centimetre
The volume of water can fit in the pipe round your answer to the nearest tenth of a cubic centimeter is 2009. 60 cm³
How to determine the volume of the pipeThe formula for determining the volume of a pipe is expressed as;
V = πr²l
Given that;
V is the volume of the pipeπ takes the value 3. 14 0r 22/7r is the inner radius of the pipel is the height or the length of the pipeTo determine the radius of the pipe, we have;
Radius = inner diameter/2
Substitute the values
Radius = 8/2 = 4cm
Now, substitute the values
Volume = (3.14)× (4)² × 40
expand the bracket
Volume = 2009. 60 cm³
Hence, the value is 2009. 60 cm³
Learn more about volume here:
https://brainly.com/question/1972490
#SPJ1
the kutta-joukowski theorem, equation (3.140), was derived exactly for the case of the lifting cylinder. in section 3.16 it is stated without proof that equation (3.140) also applies in general to a two-dimensional body of arbitrary shape. although this general result can be proven mathematically, it also can be accepted by making a physical argument as well. make this physical argument by drawing a closed curve around the body where the closed curve is very far away from the body, so far away that in perspective the body becomes a very small speck in the middle of the domain enclosed by the closed curve.
The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.
A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.
The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.
By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.
Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.
This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.
Learn more about Kutta-Joukowski theorem.
brainly.com/question/15454204
#SPJ11
a fruit stan sells 4 avocados for $3 How much will it cost for 12 avocados
Answer:
$9
Step-by-step explanation:
It would cost $36. It is $3 for 4 avocados, so you would need to find out how many packs of 4 you would need. To do that, you do 12 divided by 4 which is 3. Then, to figure out the total cost, you would do 3 times 3 which is 9.
what is 28.5 inches in height?
Freda waves a small flag pennant when her favorite player hits a grand slam. approximately how much fabric in square inches is used to make up the flag on her pennant
Answer: 15 inches
Step-by-step explanation:
Answer:
In a right triangle, the hypotenuse, 2x, is equal to twice the length of the shortest leg, x, and the longer leg is equal to the product of the length of the shortest leg, x, and the square root of 3.
Hypotenuse: 10 in.
Shortest Leg:2x=10 , so x=5 in,
Longer Leg: x sq rt 3 5 sq rt 3 in
area- 1/2 bh, 1/2 5*5 sq rt 3=
25t sq rt 3=21.65 sq inches
mr. getting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. the pepper in the shaker on the left is filled to a height of 45 millimeters.to what approximate height is the shaker on the right filled with pepper?
The approximate height of the cylindrical pepper shakers on the right filled with pepper is equal to option b. 80mm.
Let us consider V be the volume of the cylindrical paper,
r be the radius, and h be the height.
To estimate the height of the pepper in the shaker on the right,
Use the fact that the same amount of pepper was poured into each shaker.
This implies volume of pepper in each shaker is the same.
Since the shaker on the left was filled to a height of 45 mm,
The formula for the volume of a cylinder is,
V = πr^2h
Radius of left hand shakers is equal to 32mm
And radius of right hand shakers is equal to 24mm
Substitute the values we have,
⇒ π (32)^2 x 45 = π (24)^2 x h
Simplifying, we get,
⇒ h = 46080 / 576
⇒ h = 80mm
Therefore, the approximate height of the pepper in the shaker on the right is option b. 80 mm.
Learn more about height here
brainly.com/question/21933781
#SPJ4
The above question is incomplete, the complete question is:
Mr. Getting poured the same amount of pepper into each of the cylindrical pepper shakers shown below. The pepper in the shaker on the left is filled to a height of 45 millimeters. To what approximate height is the shaker on the right filled with pepper?
A 60 millimeters
B. 80 millimeters
C. 32 mm
D. 24 mm-
E. 100 mm
Let \( a \) be an arbitrary real number (which you do not know). (Part 1) Find the general equation of the line tangent to the curve \( y=e^{x} \) at the point \( \left(a, e^{a}\right) \) Answer: (Par
Given the curve y = e^x and a point (a, e^a) on the curve,
we are to find the general equation of the line tangent to the curve at that point.
For that, we first find the derivative of the curve.
Using the rule for differentiating the exponential function,
we getdy/dx = d/dx (e^x) = e^x
Therefore, the slope of the tangent to the curve y = e^x at any point (x, y) on the curve is dy/dx = e^x
Also, the slope of the tangent to the curve at the point (a, e^a) is e^a.
Now, we use point-slope form of the equation of a straight line to obtain the equation of the tangent to the curve at the point (a, e^a).
The point-slope form of the equation of the tangent at (a, e^a) isy - e^a = e^a(x - a) ⇒ y = e^a(x - a) + e^a
Thus, the general equation of the tangent to the curve y = e^x at any point (a, e^a) on the curve is y = e^a(x - a) + e^a
To know more about line tangent to the curve visit:
https://brainly.com/question/27548453
#SPJ11
Please help and thank you
Answer:
A. \(4^3*6^3\)
Step-by-step explanation:
First, you solve the given equation.
\((4*6)^3\\\\=24^3\\=13824\)
You solve the multiple choice afterwards. Since choice A was given first, we managed to find the answer.
\(4^3 * 6^3\\\\=64 * 216\\=13824\)
Choice A has the same answer as the given equation, making them equivalent.
The Frosty Ice-Cream Shop sells sundaes for $4 and banana splits for $6. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $182. How many sundaes did they sell?
Answer:
23
Step-by-step explanation:
Answer:
They sold 48 sundaes.
Step-by-step explanation:
A bag of potatoes weighs 4 pounds 4 ounces. How
much does the bag of potatoes weigh in kilograms?
If needed, round your answer to the nearest
hundredth.
Conversion ratios:
1 lb = 16 oz
1 kg = 2.2 lb
(I will make you brainliest if answered correctly)
Answer: 1.9
Step-by-step explanation:
Answer:
1.93 kilograms
Step-by-step explanation:
i wrote it out
Please help with any question thank uuuu <33
1. A
2. A
3. D
4. A
5. D
6. A
7. B
8. C
9. D
use the binomial theorem to find the binomial expansion of the given expression. (2x-3y)^5.
show work
Answer:
(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n
The binomial expansion of (2x - 3y)^5 is:
32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5
The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
The given expression is (2x-3y)⁵.
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.
(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵
= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵
= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵
Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
To learn more about the binomial expansion visit:
https://brainly.com/question/31363254.
#SPJ2
Which expression is equivalent to -66.1 - (-55.6)?
Answer:
subtracting a negititive is the same as adding so -66.1+55.6
Hope This Helps!!!
25% OFF!
During the sale, Cooper pays $3 for a bag of almonds. What was the original price?
Answer:
$4
Step-by-step explanation:
x-.25x=3. (since it’s 25% off)
.75x=3
x=3/.75
x=4
What is the image of the point (3, 4) after a rotation of 90° counterclockwise about
the origin?
Answer:
(-4,3)
Step-by-step explanation:
the rule for 90⁰ counterclockwise is (-y,x).
What is the correct answer for Jorge's problem? Explain where he went wrong.
Answer:
what is jorges prob
A school wants to build a rectangular playground that will have a diagonal length of 75 yards. How wide can the playground be if the length has to be 30 yards?
Round to the nearest tenth.
If a school wants to build a rectangular playground that will have a diagonal length of 75 yards. The wide of the playground be if the length has to be 30 yards is: 68.7.
How to find the width of the playground?Using Pythagoreans theorem to find the width of the playground
c² = √a² - b²
Where:
c = Width
a = 75 yards
c = 30 yards
So,
c² = √75² - 30²
c² = √5,625 -900
c² = √4,725
c= 68.7
Therefore we can conclude that the width is 68.7.
Learn more about width here:https://brainly.com/question/25292087
#SPJ1
Using Pythagoras theorem, the width is 68.74 yards
What is Pythagoras TheoremThe Pythagorean Theorem is a fundamental mathematical principle that states that in a right triangle (a triangle with one angle equal to 90 degrees), the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
It can be expressed mathematically as:
c^2 = a^2 + b^2
Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
To solve this problem, we have to take the diagonal as the hypothenuse and the length as one of the legs.
75² = 30² + b²
b² = 75² - 30²
b = 68.74yds
Learn more on Pythagoras theorem here;
https://brainly.com/question/343682
#SPJ1
The probability distribution shows the probability owning multiple vehicles among 100 families polled.
What is the probability that a family has more than 3 cars among the 100 families polled?
Enter your answer, as a decimal, in the box.
The probability that a family has more than 3 cars among the 100 families polled is approximately 0.11 or 11%.
From the given probability distribution, we can add up the probabilities of owning 4 or 5 vehicles, which are 0.36 and 0.3, respectively. Thus, the probability of a family owning 4 or 5 vehicles is 0.36 + 0.3 = 0.66. To find the probability of a family owning more than 3 cars, we subtract the probability of owning 0, 1, 2, or 3 vehicles from 1, which is the total probability of owning any number of vehicles.
Thus, the probability of owning more than 3 cars is 1 - (0.5 + 0.45 + 0.4 + 0.36) = 0.11 or 11%.
It is important to note that this calculation assumes that the given probability distribution accurately represents the population of interest and that the sample of 100 families is a representative sample.
Learn more about probability here:
brainly.com/question/9385717
#SPJ11
Given that p is a whole number, and 1/4 < 2/p < 1/3, what is the value of p?
Answer:
p = 6
Step-by-step explanation:
the polar express travels at 150 miles per hour how many hours will it take it to travel 3000 miles??
You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $ 8.75 for washing 4 cars.
17
Answer:8.75
Step-by-step explanation:35/4
Donna bought her first car for $5,500. Figure her down payment and amount financed if she
puts 12% down.
Answer:
12% of 5,500 is 600
Step-by-step explanation:
you turn percent into decimal and then multiply