Students in french class are 9 and in Spanish are 18 , according to given equation.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
According to question:
A French class has students while a Spanish class has twice as many.
let french class have f students then Spanish class will have 2f students.
The Spanish class has nine more students than the French class.
which means
2f - f = 9
f = 9
hence students in french class are 9 and in Spanish are 18 .
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Morgan buys 4 1/3 crates of apples for 39$. How much does 1 carton of apples cost?
Answer:
$9
Step-by-step explanation:
because we would take the total which is $39 so we divide 39/ 4 1/3 = to 9 so for one crate it is going to be $9 a crate
hope this helps
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. URGENT
Answer:
-39+5(-41)=244
Step-by-step explanation:
Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)
Five times the smallest means 5x
Sum of the largest and five times the smallest means x+2+5x
This sum is -244 means x+2+5x=-244
Solve this equation
x+2+5x=-244
6x+2=-244
6x=-244-2
6x=-246
x=-41
So, smallest number is -41, second is -40 and largest is -39
= -39+5(-41)=244
Hope this helps, have a nice day/night! :D
A 2-pound bag of carrots costs $7.68. What is the price per ounce?
The price of carrots per ounce is $0.24 .
Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.
The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.
Now it is given that a 2-pound bag of carrots cost $7.68 .
Therefore price per pound of carrots=$7.68÷2
Price per pound=$ 3.84 .
Now we know that 16 ounces make up a pound.
Price of carrots per ounce= $3.84 ÷16
Price per ounce= $ 0.24
Therefore the price of carrots per ounce is $0.24
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Hollie takes out a loan of £8000. This debt increases by 26% every year. How much money will Hollie owe after 13 years? Give your answer in pounds (£) to the nearest 1p.
The Money owed by Hollie after 13 years is 1,61,401.32
compound interest:Interest calculated on the amount that includes the principal plus accumulated interest of the previous period.
Additional money earned on initial money deposited plus all previous interest,
compound interest causes interest and account balances to grow.
compound interest is given by the formula
A=P(1+r)ⁿ
where
A=amount
P=initial amount
n= number of years
given
P=8000
rate=26%
after 13 years=?
=8000*(1+0.26)¹³
=8000*(1.26)¹³
=161401.32
The Money owed by Hollie after 13 years is 1,61,401.32
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The graph below shows the relationship between temperature in degrees Fahrenheit and degrees Celsius.
What is the meaning of the y-intercept?
A the change in degrees Fahrenheit for each change of one degree Celsius
Bel change in degrees Celsius for each change of one degree Fahrenheit
the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius
D the temperature in degrees Celsius when the temperature is zero degrees Fahrenheit
The y-intercept of the graph is: C. "the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius."
What is the Meaning of the Y-intercept of a Situation?In mathematical terms, the y-intercept is the point where a line or curve intersects the y-axis on a coordinate plane.
In practical terms, the y-intercept of a situation often represents the starting point or initial value of a variable or function.
In the graph given above that shows the relationship between temperature in degrees Fahrenheit and degrees Celsius, the y-intercept is 32 degrees Fahrenheit, which means: C. "the temperature in degrees Fahrenheit when the temperature is zero degrees Celsius."
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Please let me know the answer to this
A vertical 1-meter stick casts a shadow of 0.4 meters. If a tree casts a shadow of 12 meters at the same time, how tall is the tree? a. 13.4 meters b. 12.6 meters c. 30 meters d. 4.8 meters.
A vertical 1-meter stick casts a shadow of 0.4 meters , then the height of the tree is 30 meters , the correct option is (c) .
We use the concept of proportions to find the height of the tree .
We know that , A vertical stick of 1 meter casts a shadow of 0.4 meters.
We have to find the height of tree which casts a shadow of 12 meter at the same time ,
Let x = the height of the tree in meters.
So , we can write ,
⇒ 1/0.4 = x/12 ,
Simplifying this proportion:
We get ,
⇒ 0.4x = 12 ,
⇒ x = 12/0.4
⇒ x = 30
Therefore, the height of the tree is Option(c) 30 meters.
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The given question is incomplete , the complete question is
A vertical 1-meter stick casts a shadow of 0.4 meters. If a tree casts a shadow of 12 meters at the same time, how tall is the tree?
(a) 13.4 meters
(b) 12.6 meters
(c) 30 meters
(d) 4.8 meters.
Let X(t) = [cos 2t + sin 2t sin 2t]. Find a planar linear system such that X(t) is a solution to it.
The system of equations has X(t) = [cos 2t + sin 2t, sin 2t] as a solution.
To find a planar linear system such that X(t) = [cos 2t + sin 2t, sin 2t] is a solution, we can set up a system of differential equations.
Let's define two variables x(t) and y(t) as the components of X(t):
x(t) = cos 2t + sin 2t
y(t) = sin 2t
Now, let's differentiate both equations with respect to t:
x'(t) = -2sin 2t + 2cos 2t
y'(t) = 2cos 2t
We can rewrite these equations in the form of a planar linear system:
x'(t) = -2y(t) + 2x(t)
y'(t) = 2x(t)
Therefore, the planar linear system is:
dx/dt = -2y + 2x
dy/dt = 2x
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Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride.(1) What ia your variable and what does it represent?(2) Write your inequality : (3) Solve your inequality :(4) Explain what your solution means for katie : (5) Does katie have enough money for a 10 mile ride? Please explain. (6) If the ride is 11.5 miles how much will katie be charged?
(1)
Let:
x = Number of miles traveled
(2)
\(1.75+0.65x\le10\)(3)
\(\begin{gathered} \text{subtract 1.75 from both sides:} \\ 1.75+0.65x-1.75\le10-1.75 \\ 0.65x\le8.25 \\ \text{divide both sides by 0.65:} \\ \frac{0.65x}{0.65}\le\frac{8.25}{0.65} \\ x\le12.69mi \end{gathered}\)(4)
This means Katie can travel a maximum of 12.69 miles
(5)
Yes, she does
\(\begin{gathered} 1.75+0.65(10)\le10 \\ 8.25\le10 \end{gathered}\)(6)
\(\begin{gathered} x=11.5 \\ 1.75+0.65(11.5)\le10 \\ 9.225\le10 \end{gathered}\)$9.225
You make an investment of $8000. For the first 18 months you earn 5% compounded semi-annually. For the next 5 months you earn 10% compounded monthly. What is the maturity value of the certificate?
The maturity value of the investment would be $8,858.80.
To calculate the maturity value, we need to calculate the compound interest for each period separately and then add them together.
For the first 18 months, the interest is compounded semi-annually at a rate of 5%. Since there are two compounding periods per year, we divide the annual interest rate by 2 and calculate the interest for each period. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the maturity value, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.05/2)^(2*1.5) = $8,660.81.
For the next 5 months, the interest is compounded monthly at a rate of 10%. We use the same formula but adjust the values for the new interest rate and compounding frequency. Plugging in the values, we get A = 8000(1 + 0.10/12)^(12*5/12) = $8,858.80.
Therefore, the maturity value of the certificate after the specified period would be $8,858.80.
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Q=
(
A
2
2
1
)−(
A
1
2
1
)
(
density
Δp
)
sec
m
3
In this problem we will use standard metric units so no conversions will be required. Just use the numbers given. You would normally use English units (psi, inches, slugs/cubic foot, and gallons/min), but to reduce conversion challenges we will use the standard metric units as I do not want to make this problem about conversions between units. Later we will tackle some problems that will require some conversion factors. Answer Required: Plot a graph of Flow Rate Q measured in units of
sec
m
3
versus Pressure in standard units of Pa. These are the units that will come out of your calculations. Input Variable: Differential Pressure in units of Pa, with 1000 evenly spaced pressures over the range from 20,000. to 200,000. Pa Given Constants for this meter application: 1. Radius of cross-sectional areas: At position A1 the Radius R1= 0.06 m; at position A2 the radius is R2=0.02 m Use radius values as input to your program and calculate areas A1 \& A2 inside your program. 2. Density : Density of water =1000.
m
3
kg
Your Task: Write a script (program) to draw a plot of the flow rate "Q" in standard units on the vertical versus with pressure on the horizontal axis. It is customary to plot the independent variable, in this case the pressure reading, on the horizontal and show the result on the vertical. In an industrial situation you would develop this plot and then it would be used by the operating staff to manage the specific Venturi meter. On your graph plot pressures over the range from 20,000 Pa to 200,000 Pa with 1000 pressure values, evenly spaced. This will provide a smooth graphical curve. 1 - Use the given radius values as input in you program so that they could be changed in the future to make it easier to set up future Venturi meters. Note that the area of a circle is A=π×r
2
. 2 - Since the plot will be used by operators, make sure you have an easy to read graph with units shown every 10,000 Pa, from 20,000 to 200,000 Pa. Scientific notation is acceptable. On your graph also include; 1) a label for each axis including the units, 2)a set of grid lines, and 3) a title on your graph. Your graph title will be Flow Meter QX-27 (Water only). The labels will be FLOW RATE (cubic m/sec ) and on the vertical scale and Pressure (Pa) on the horizontal scale. TIP - In Octave type in help plot to read about the plot options.
The code will create a graph of the flow rate versus pressure for a Venturi meter.
The code to plot the flow rate versus pressure for a Venturi meter:
import numpy as np
import matplotlib.pyplot as plt
# Constants
R1 = 0.06
R2 = 0.02
density = 1000
# Pressure range
pressure = np.linspace(20000, 200000, 1000)
# Calculate flow rate
flow_rate = (np.pi * (R2 ** 2 - R1 ** 2)) / (density * pressure)
# Plot the graph
plt.plot(pressure, flow_rate)
plt.xlabel('Pressure (Pa)', fontsize=16)
plt.ylabel('Flow Rate (m^3/s)', fontsize=16)
plt.title('Flow Meter QX-27 (Water only)', fontsize=16)
plt.grid(which='both', linestyle='--')
plt.show()
This code will create a graph of the flow rate versus pressure for a Venturi meter. The graph will have the following features:
The pressure range will be from 20,000 Pa to 200,000 Pa.
The flow rate will be in units of cubic meters per second.
The graph will have labels for each axis, including the units.
The graph will have grid lines.
The graph will have a title.
To run the code, you can save it as a Python file and then run it from the command line. For example, if you save the code as flow_meter.py, you can run it by typing the following command into the command line:
python flow_meter.py
This will create the graph and open it in a new window.
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- 9b = - 45
i need help asap pls
Answer:
b=5
Step-by-step explanation:
Answer:
b=5
Step-by-step explanation:
Not copying....
have a nice day
solve this -3x − 7(x + 4)
Answer:
Hey there!
First, do you mean simplify? I can't solve an equation if there isn't a equal sign. If you want me to solve this, check if you have properly typed your question- Thanks!
Here is how you should simplify:
Given expression.
-3x-7(x+4)
Distributive property.
-3x-7x-28
Combine Like Terms
-10x-28
Your final answer should be -10x-28
Hope this helps :)
━━━━━━━☆☆━━━━━━━
▹ Answer
-10x - 28
▹ Step-by-Step Explanation
-3x - 7(x + 4)
-3x - 7x - 28
-10x - 28
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
You want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?
Answer:
Orange juice
Step-by-step explanation:
The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.
We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.
I don’t know if it worked now but thank you to the person that told me what to do, also 10x10 bc why not lol
Answer:
Nice kittie
Step-by-step explanation:
explain pi
its been a while since ive been on brainly <3
points , pi represents point that you can earn .
evaluate the integral. π/2 csc(t) cot(t) dt π/4
The value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.
To evaluate the integral ∫(π/2 to π/4) csc(t) cot(t) dt, we can use trigonometric identities and integration techniques.
First, let's rewrite the integrand using trigonometric identities:
csc(t) = 1/sin(t)cot(t) = cos(t)/sin(t)Substituting these identities, the integral becomes:
∫(π/2 to π/4) (1/sin(t)) * (cos(t)/sin(t)) dt
Now, we can simplify the expression:
∫(π/2 to π/4) (cos(t)/sin²(t)) dt
To evaluate this integral, we can use the substitution method. Let u = sin(t), then du = cos(t) dt. We need to find the new limits of integration when t = π/2 and t = π/4.
When t = π/2, u = sin(π/2) = 1.
When t = π/4, u = sin(π/4) = 1/√2.
The integral becomes:
∫(1 to 1/√2) (1/u²) du
Simplifying further, we have:
∫(1 to 1/√2) u^(-2) du
Now, we can integrate:
∫(1 to 1/√2) u^(-2) du = [-u^(-1)] evaluated from 1 to 1/√2
Evaluating the definite integral, we have:
[-u^(-1)] from 1 to 1/√2 = [-(1/√2)^(-1) - (-1)^(-1)] = [-√2 - (-1)] = -√2 + 1
Therefore, the value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.
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What is the end behavior of f(x) = 2 " - 2 as x goes to infinity? Of(x) goes to -2 O f(x) goes to -4 f(x) goes
to infinity Of(x) goes to negative infinity Of(x) goes to 0
f(x) goes to -2. The end behavior of f(x) is that f(x) goes to -2 as x goes to infinity.
The end behavior of a function describes what happens to the function's values as the input (x) approaches positive or negative infinity.
For the given function f(x) = 2 - 2 as x goes to infinity, the end behavior can be determined by observing the constant term (-2) in the expression.
As x approaches positive infinity, the value of the function f(x) approaches the constant term (-2). Therefore, the correct answer is: The end behavior of f(x) is that f(x) goes to -2 as x goes to infinity.
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What is the end behavior of \(f(x) = 2^{-x} + 2\) as x goes to infinity?
O f(x) goes to -2
O f(x) goes to -4 f(x) goes to infinity
O f(x) goes to negative infinity
O f(x) goes to 0
Help please! Answer only if you know the correct answer, thanks.
Answer:
AB and AC
Step-by-step explanation:
I think I'm not 100 but....
What is the distance between (7, 9) and (-4, 9)
Answer:
11 unites
Step-by-step explanation:
How much of a radioactive kind of bismuth will be left after 8 minutes if the half-life is 2
minutes and you start with 79,360 grams?
grams
y = x/2 does that look like y = kx or that doesn’t look like y = kx
Step-by-step explanation:
y = x/2 = x × 1/2
that is y = kx
with k = 1/2
as y is still getting larger with larger x, and smaller with smaller x.
the opposite would be
y = k/x
where y gets smaller with larger x and larger with smaller x.
solve the functions for b I am having many difficulties
From the figure we see that the function in b, only asigns values for the points in -3, -1, 1, 3 and 4 of the x axis.
Then it's domain is
\(\text{Dom}=\lbrace-3,-1,1,3,4\rbrace\)To find the range of the figure in b, we have to see what values does it take in the y axis, we notice that this values are -4, 0, 1, 4 and 5. Hence
\(\text{Range=}\lbrace-4,0,1,4,5\rbrace\)In the case of c. we notice that the lines go on (that's is why it's represented by arrows). We note that if the lines go on, eventually they will take all the values on the x axis. Then
\(\text{Dom=(-}\infty,\infty)\)For the range we notice that it will take all the positive values on the y axis. then
\(\text{Range}=\lbrack0,\infty)\)In the case of the function a, we notice that the function assigns values to every point from -4 to 4 on the x axis. Then we can conclude that the domain is
\(\text{Domain=}\lbrack-4,4\rbrack\)We also notice that the values that y takes are from 0 to 4, therefore
\(\text{Range}=\lbrack0,-4\rbrack\)f(x) = -x^2 + 5x – 2
Find f(-4)
Answer:
2
Step-by-step explanation:
if f(4), than -4^2=-16
5(4)=20
-16+20-2=2
help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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a water tower casts a shadow that is 21ft long.a tree casts a shadow that is 8ft long estimate the height of the water tower
Answer:
I ain't never seen 2 pretty bestfriends
Step-by-step explanation:
In Example 2, suppose Luke couldn't live in his parents' house for free. Instead, no matter whether or not he goes to college, he'd pay $4,800 for housing and spend $2,400 on food. Then, Luke's cost of a year in college would be $ ______.
Total Cost = $7,200 + E. Let's revisit the question and calculate the cost of Luke's year in college using the provided information.
Given:
- Luke pays $4,800 for housing.
- Luke spends $2,400 on food.
To calculate Luke's cost of a year in college, we need to consider the additional expenses associated with his education. Let's assume the cost of tuition and other educational expenses for one year is represented by the variable "E."
By probability Luke's total cost for a year in college can be calculated as the sum of housing, food, and educational expenses:
Total Cost = Housing Cost + Food Cost + Educational Expenses
Total Cost = $4,800 + $2,400 + E
we cannot determine the exact cost of Luke's year in college. We can only express it as:
Total Cost = $7,200 + E
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A line passes through the point (2,10) and has a y-intercept of 4. What is the equation of the line?
Answer:
Step-by-step explanation:
Slope= 10-4/2-0=3 y= 3x+4 (10= 3(2)+4
HELPPPP ME PWEASEEEEE
2y - 3 = 4y + 6
Subtract 6 from both sides
2y -9 = 4y
Subtract 2y from both sides
-9 = 2y
Divide both sides by 2
Y = -9/2 or -4.5 as a decimal
A bag contains 6 red blocks, 4 green blocks and 2 yellow blocks. Three blocks are taken from the bag, at random, without replacement. Calculate the probability that all three blocks will be the same colour
Answer:
0.1090908
Step-by-step explanation:
Given :
R = red blocks
Y = yellow blocks
G = green. blocks
n(R) = 6 ; n(Y) = 2 ; n(G) = 4
Total blocks = 6 + 2 + 4 = 12
Probability that all blocks are of same color :
P(RRR) or P(YYY) or P(GGG)
P(RRR) = 6/12 * 5/11 * 4/10 = 0.0909090
P(YYY) = 2/12 * 1/11 * 0/10 = 0
P(GGG) = 4/12 * 3/11 * 2/10 = 0.0181818
Hence,
0.0909090 + 0 + 0.0181818
= 0.1090908