The red square has an area of 200 square units, and the blue square has a side length of 10 units. If 1000 darts are randomly thrown at the red square, how many would you expect to land inside the blue square?
Answer:500
Step-by-step explanation:you divide it in half
easy problem plz help find area of triangle
Answer:
49.5
Step-by-step explanation: 11x9=99/2
Zeros: -1, 1, 8; degree: 3
Answer:
y=(x+1)(x-1)(x+8)
Step-by-step explanation:
When creating a factor with a known zero, use (x-ZERO)
For instance: a zero of -1 would be reprsented as (x+1)
Is y=-3x^2 +10 a function
Answer:
YES
Step-by-step explanation:
Need help..Can't understand this..
Answer:
E
Step-by-step explanation:
Given the system of two equations:
[tex]\left\{\begin{array}{l}\dfrac{2}{3}x-\dfrac{1}{2}y=1\\ \\-\dfrac{4}{3}x+y=-3\end{array}\right.[/tex]
Multiply the first equation by 6 and the second equation by 3 to eliminate fractions:
[tex]\left\{\begin{array}{l}4}x-3y=6\\ \\-4x+3y=-9\end{array}\right.[/tex]
Add these two equations:
[tex]4x-3y-4x+3y=6-9\\ \\0=-3[/tex]
You get false equality [tex](0\neq -9)[/tex], so the system of two equations has no solution (two equations represent parallel lines)
Very confused please help.
In problem #s 1 and 2, use the following information.
The indicated airspeed S (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures.
The relationship between S and p can be modeled by S=136.4p√+4.5.
1. Find the differential pressure when the indicated airspeed is 157 knots.
2. Find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to 195 knots.
In problem #s 3 and 4, use the following information.
The true airspeed T (in knots) of an airplane can be modeled by T=(1+A50,000) ⋅ S, where A is the altitude (in feet) and S is the indicated airspeed (in knots).
3. Write the equation for true airspeed T in terms of altitude and differential pressure p.
4. A plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet.
Estimate the differential pressure. Explain why you think your estimate is correct.
The problems relate to airspeed and altitude in avionics and involve using mathematical concepts such as differential equations and differentials. The differential pressure when the indicated airspeed is 157 knots can be found by rearranging the given equation. Changes in airspeed can be determined based on differences in differential pressures. The equation for true airspeed in terms of altitude and differential pressure can be found by substituting the equation for indicated airspeed into the equation for true airspeed.
Explanation:The subject of these problems is differential calculus, which deals with differential equations and differentials. We're using these mathematical concepts to solve problems related to airspeed and altitude in avionics.
Given the airspeed relationship S=136.4p√+4.5, we can solve for the differential pressure 'p' when S is given 157 knots. We rearrange the equation for 'p': p = (S - 4.5) / 136.4.When the aeroplane slows down from 218 knots to 195 knots, the change in the differential pressure Δp can be found by first calculating the forces at both speeds and then taking the difference.We know that true airspeed T can be modelled by T=(1+A/50,000) ⋅ S, where A is the altitude and S is the indicated airspeed. In this case, we should substitute the relationship S=136.4p√+4.5 into the equation for T, obtaining the equation T = (1 + A/50000) * (136.4p√+4.5).Given that T=280 and A=20,000, we can substitute these values into the equation T = (1 + A/50000) * (136.4p√+4.5) to find 'p'. This will give us the estimated differential pressure.Learn more about Calculating Airspeed here:https://brainly.com/question/29597908
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To find differential pressure at 157 knots, solve the equation S = 136.4√p + 4.5, yielding p ≈ 1.25. For changes in pressure from 218 to 195 knots, calculate both pressures then find the difference: Δp ≈ 0.50 in Hg. For true airspeed in terms of altitude and differential pressure, use T = (1 + A/50,000) ⋅ (136.4√p + 4.5). Estimating differential pressure for a true airspeed of 280 knots at 20,000 feet involves solving the combined equation to find p ≈ 2.05.
Let's tackle each problem step-by-step.
Problem 1
Given the indicated airspeed, S, of 157 knots, we need to find the differential pressure p.
The relationship is given by:
S = 136.4√p + 4.5
Substitute S = 157 into the equation:
157 = 136.4√p + 4.5
Subtract 4.5 from both sides:
152.5 = 136.4√p
Divide both sides by 136.4:
√p = 152.5 / 136.4 ≈ 1.118
Square both sides to solve for p:
p ≈ 1.118² ≈ 1.25 inches of mercury
Problem 2
We need to find the change in the differential pressure when the airplane slows down from 218 knots to 195 knots.
First, find the differential pressure at 218 knots:
218 = 136.4√p + 4.5
213.5 = 136.4√p
√p = 213.5 / 136.4 ≈ 1.565
p1 ≈ 1.565² ≈ 2.45 inches of mercury
Next, find the differential pressure at 195 knots:
195 = 136.4√p + 4.5
190.5 = 136.4√p
√p = 190.5 / 136.4 ≈ 1.397
p2 ≈ 1.397² ≈ 1.95 inches of mercury
Change in differential pressure:
Δp = p1 - p2 ≈ 2.45 - 1.95 ≈ 0.50 inches of mercury
Problem 3
We need to write the equation for true airspeed T in terms of altitude A and differential pressure p.
From the given formulas:
S = 136.4√p + 4.5
T = (1 + A/50,000) ⋅ S
Combining these, we get:
T = (1 + A/50,000) ⋅ (136.4√p + 4.5)
Problem 4
An airplane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. We need to estimate the differential pressure p.
First, express the indicated airspeed S in terms of true airspeed T:
T = (1 + A/50,000) ⋅ S
280 = (1 + 20,000/50,000) ⋅ S
280 = 1.4S
S = 280 / 1.4 ≈ 200 knots
Next, solve for p using S = 136.4√p + 4.5:
200 = 136.4√p + 4.5
195.5 = 136.4√p
√p = 195.5 / 136.4 ≈ 1.433
p ≈ 1.433² ≈ 2.05 inches of mercury
This estimate is correct because it falls within the logical range for differential pressure at this indicated airspeed.
a tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were styill hungry so the coach bought 6 more hamburgers and 2 more fries for $16.60. Find the cost of each.
Answer:
Hamburger = $2.5
Fries = $0.80
Step-by-step explanation:
set up a system of equations
y = total cost
x = number of hamburgers
y = number of fries
[tex]24=8x+5y\\16.60=6x+2y[/tex]
find a LCF and multiply the equations. I'll be using the LCF of 5 & 2, which is 10 for y. so I will mulitilpy the first equation by 2 to get 10y and then the second by NEGATIVE 5 (-5) so when I combine both equations the y will cancle out because I'll get -10. Doing this, you should end up with this:
[tex]48=16x+10y\\-83=-30x-10y[/tex]
when you have this combine the equations to get
[tex]-35=-14x[/tex]
then divide both sides by -14 to get
[tex]2.5=x[/tex] this is the cost of one hamburger
then you plug in x into one of the original equations (I'll use the first equation)
[tex]24=8(2.5)+5y[/tex]
then solve for y to get
[tex]0.80=y[/tex] this is the cost for fry
if you plug in both the value for x and y into the original equations (like so)
[tex]24=8(2.5)+5(0.8)\\16.60=6(2.5)+2(0.8)[/tex]
you'll see that they are true (they equal one another)
this means that the cost of a hamburger is $2.50 and the cost of fries is $0.80
The cost of each hamburger is $2.50, and the cost of each serving of fries is $0.80.
Let's use a system of equations to solve this problem. Let h represent the cost of a hamburger and f represent the cost of a serving of fries.
From the information given, we can create two equations:
8h + 5f = 24
6h + 2f = 16.60
Now, we can solve this system of equations. We can start by solving one of the equations for one of the variables and then substituting it into the other equation. Let's solve equation 1 for h:
8h = 24 - 5f
h = (24 - 5f)/8
Now, substitute this expression for h into equation 2:
6[(24 - 5f)/8] + 2f = 16.60
Now, we can simplify and solve for f:
(3/4)(24 - 5f) + 2f = 16.60
Multiply both sides by 4 to eliminate the fraction:
3(24 - 5f) + 8f = 66.40
Now, distribute the 3 on the left side:
72 - 15f + 8f = 66.40
Combine like terms:
-7f = 66.40 - 72
-7f = -5.60
Now, divide by -7 to solve for f:
f = -5.60 / -7
f = $0.80
Now that we've found the cost of a serving of fries (f), we can use this value to find the cost of a hamburger (h) using equation 1:
8h + 5(0.80) = 24
8h + 4 = 24
8h = 24 - 4
8h = 20
h = 20 / 8
h = $2.50
So, the cost of each hamburger is $2.50, and the cost of each serving of fries is $0.80.
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A motorboat traveling with a current can go 120 km in 4 hours. Against the current, it takes 6 hours to go the same distance. Find the speed of the motorboat and speed of the current.
180 is the speed of the motorboat. I don't know the speed of the current.
........................................
120÷4=30
30×6=180
Jose needs to make a total of 25 deliveries this week. So far he has completed 15 of them. What percentage of his total deliveries has Jose completed?
Answer:
Jose has completed 60% of his total deliveries.
Step-by-step explanation:
Given:
Jose needs to make a total of 25 deliveries this week. So far he has completed 15 of them.
Now, to find the percentage of his total deliveries has Jose completed.
Total deliveries = 25.
Deliveries completed = 15.
Now, to get the percentage of his total deliveries has Jose completed:
[tex]\frac{Deliveries\ completed}{Total\ deliveries} \times 100[/tex]
[tex]=\frac{15}{25} \times 100[/tex]
[tex]=0.6\times 100[/tex]
[tex]=60\%.[/tex]
Therefore, Jose has completed 60% of his total deliveries.
Need help with this question anybody
Answer:
The answer is option C [tex](x+1)^{2} + ( y-2)^2 =25[/tex]
Step-by-step explanation:
i) The answer is option C [tex](x+1)^{2} + ( y-2)^2 =25[/tex]
Who knows this answer
Answer:
Step-by-step explanation:
∠ABC = ∠ DEF {GIVEN}
= ∠GHI { ∠DEF = ∠GHI - given}
∠ ABC = ∠GHI
Tervis tumblers are on sale for 15% off, and I have a coupon for an additional 20% off. If a Tervis Tumbler is normally $17.99, how much will I pay?
Answer:
You will pay $12.23
Step-by-step explanation:
One method:
$17.99 * (1-15%) = $15.29
$15.29 * (1-20%) = $12.23
The scale of a map is 1:1,000,000. What are the real distances between two points if the distance between them on this map is: 1.8 dm
Answer:
180km
Step-by-step explanation:
Times both values by 1.8
1.8 : 1800000
You have 1,800,000 dm
Turn to m by dividing by 10 you get 180,000 m
Turn to km by dividing by 1000 you get 180km
Answer:
180
Step-by-step explanation:
The store has put up a robotics kit on sale for 25% off the original price of $250, AND you have a coupon for an additional 20% off the price of any item at a store.
A. How much will you pay for the robotics kit if you use your coupon?
B. In all, by how much has the robotics kit been discounted in dollars?
C. After both discounts were taken, what was the total percent discount?
A. If you use only the coupon you will have to pay $137.50.
B. Using the Coupon during the sale, the kit is discounted by $112.50
C. The total percent discount is 45% after both discounts.
Step-by-step explanation:
Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.
25% of $250 = [tex]\frac{25}{100}[/tex] × $250 = 0.25 × $250 = $62.50
So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.
Robotics kit price after 25% discount = $250 - $62.50 = $187.50.
Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.
45% of $250 = [tex]\frac{45}{100}[/tex] × $250 = 0.45 × $250 = $112.50.
So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.
Total discounted price = $250 - $112.50 = $137.50.
What is 10 and 3 4ths equal
Answer:
Decimal form: 10.75
Fraction form: 10 6/8 = 10 12/16 = 10 18/24 and so on.
Simplest form: 10 3/4
Fraction greater than 1 form: 43/4
Factor x3 + 3x2 + 2x completely.
x(x2 + 3x + 2)
x(x + 1)(x + 2)
x(x - 1)(x - 2)
DONE
Answer:
x(x + 1)(x + 2)Step-by-step explanation:
x³ + 3x² + 2x
= x(x² + 3x + 2) , notice that x is a common factor
= x(x + 1)(x + 2)
Remark: (x + 1)(x + 2) = x² + 3x + 2 ; just develop
The second option is correct. To factor x³ + 3x² + 2x completely, factor out the common factor of x and then factor the quadratic expression inside the parentheses.
Explanation:To factor the polynomial x³ + 3x² + 2x completely, we look for common factors and factor out an x term. This gives us x(x² + 3x + 2). Then, we factor the quadratic expression inside the parentheses by finding two numbers that multiply to give 2 and add up to give 3. In this case, the numbers are 1 and 2. Therefore, the factored form of the polynomial is x(x + 1)(x + 2).
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(9x3 - 18x²+2x+2) / (3x-1)
Answer:
Quotient =(3x²-5x-1) and reminder = 1
Step-by-step explanation:
[tex]\frac{9x^3-18x^2+2x+2}{3x-1}[/tex]
3x-1)9x³-18x²+2x+2(3x²-5x-1
9x³-3x²
------------------------
-15x²+2x+2
-15x²+5x
------------------
-3x+2
-3x+1
--------
1
Therefore 9x³-18x²+2x+2=(3x²-5x-1)(3x-1)+1
Quotient =(3x²-5x-1) and reminder = 1
The farmer's market opens for 2 1/5 hours in the
morning and3 2/3 hours in the afternoon How long is
the farmer's market open in a day
Plz Help Asap Ill give thanks high rating and both Brainly awards
1. simplify 8m+4n+7m-2n
2. name the expression that is the result of the distributive property for 12(5y+4)
3. see attachment with red 3
4. factor 4d+12 [ ](d+[ ]) type in boxes
5. find the factored form of -4.5n+3
Plz specify the answer to the question like how I labeled my questions.
step-by-step explanation:
1.
8m +4n +7m-2n
=8m+7m+4n-2n
=15m+2n
2.
12(5y+4)
=60y+48 [ Using distributive law]
Therefore it is binomial of one variable.
3.
[tex]-2(\frac{1}{3}x -\frac{1}{5} )[/tex]
[tex]=-\frac{2}{3} x +\frac{2}{5}[/tex]
4.
4d+12
=4(d+3)
5.
-4.5n+3
= -4(5n+3)
4x-4y=0
Y=2x+6
Solve by substitution
Answer: x = -6, and y = -6 (-6, -6)
Step-by-step explanation: What we have here is a pair of simultaneous equations. Since we have been instructed to solve by substitution, we shall begin with the one which has one of the variables as having a coefficient of 1. We shall start with equation 2 which is,
y = 2x + 6
Having taken note of this, we can now go on to the other equation and substitute for the value of y.
Hence, from equation 1,
4x - 4y = 0 (substitute for the value of y)
4x - 4(2x + 6) = 0
4x - 8x - 24 = 0
-4x -24 = 0
Add 24 to both sides of the equation
-4x = 24
Divide both sides of the equation by -4
x = -6
Having calculated the value of x, we can now go on to substitute for the value of x in equation 2.
Therefore,
y = 2x + 6
y = 2(-6) + 6
y = -12 + 6
y = -6.
So, x = -6 and y = -6
What is an equivalent expression to 4x - 16d
Answer:
2x-8d
Step-by-step explanation:
A private school admits no more than 100 students every year. Additionally at least 30 of these students must be girls, x, and the school admits at least as many girls as boys, y.
Answer:
The equation to this word problem are:
x ≥ 30 ...... (1)
x ≥ y ...... (2)
x + y ≤ 100 ..... (3)
Step-by-step explanation:
Here, the given question is INCOMPLETE.
A private school admits no more than 100 students every year. additionally, at least 30 of these students must be girls, x and the school admits at least as many girls as boys, y. What are the equation to this word problem.
Let us assume the number of girls admitted in the school = x
At least 30 of these students must be girls.
⇒ x ≥ 30 ...... (1)
Let us assume the number of boys admitted in the school = y
The school admits at least as many girls as boys.
⇒ x ≥ y ...... (2)
Also, TOTAL STUDENTS = No more than 100
So, Total Number of ( Boys + Girls) ≤ 100
⇒ x + y ≤ 100 ..... (3)
Hence, the the equation to this word problem are:
x ≥ 30 ...... (1)
x ≥ y ...... (2)
x + y ≤ 100 ..... (3)
Lin's father is paying for a $20 meal. He has a 15%-off for the meal. After the discount, a 7% sales tax is applied. What does Lin's father pay for the meal?
Answer:
18.19
Step-by-step explanation:
$20-15%=$17
$17+7%=18.19
Lin's father pays $18.19 for the meal after the 15% discount and 7% sales tax.
Explanation:To find out what Lin's father pays for the meal after the discount and sales tax, we need to follow these steps:
Calculate the amount of the discount by multiplying the original price by the discount rate.Subtract the discount amount from the original price to find the discounted price.Calculate the amount of the sales tax by multiplying the discounted price by the sales tax rate.Add the sales tax amount to the discounted price to find the total amount paid for the meal.Let's apply these steps to the given information:
Discount rate: 15%Sales tax rate: 7%Original price: $20Step 1: Discount amount = $20 x 15% = $3
Step 2: Discounted price = $20 - $3 = $17
Step 3: Sales tax amount = $17 x 7% = $1.19
Step 4: Total amount paid = $17 + $1.19 = $18.19
Therefore, Lin's father pays $18.19 for the meal after the discount and sales tax.
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What is 18 expressed as a percent? Enter your answer in the box.
Answer:
12.5% is the answer for this question. the other answer is not correct,
Final answer:
The number 18 expressed as a percent is 100%. This is found by using the formula (Number / Total × 100%) and considering 18 as both the part and the whole.
Explanation:
To express the number 18 as a percent, you need to understand that a percent is a way of expressing a number as a part of 100. The word percent comes from the Latin phrase 'per centum' which means 'by the hundred'. So, the task at hand is to determine what part of 100 is 18.
The formula for converting a number to a percent is:
Number / Total × 100%
Since we are converting the whole number 18 into a percent, we treat it as 18 out of 18 or the 'part' as 18 and the 'whole' as also 18:
18 / 18 × 100% = 100%
Therefore, the number 18 expressed as a percent is 100%.
thomas went to a hot dog cart at a baseball game. hot dogs are $2.50 morr then a soda. he purchased 2 hot dogs and 1 soda. he spent $ 20. how much is one hot dog?
Answer:
hotdog is $7.50
Step-by-step explanation:
hotdog = d soda = s
s + 2.5 = d
2d + s = 20
3s + 5 = 20
s = 5
5 + 2.5 = d
7.5 = d
Solve for s.
86 =
s
8
+ 76
Answer:
s = 5/4
Step-by-step explanation:
Solve for s:
86 = 8 s + 76
86 = 8 s + 76 is equivalent to 8 s + 76 = 86:
8 s + 76 = 86
Subtract 76 from both sides:
8 s + (76 - 76) = 86 - 76
76 - 76 = 0:
8 s = 86 - 76
86 - 76 = 10:
8 s = 10
Divide both sides of 8 s = 10 by 8:
(8 s)/8 = 10/8
8/8 = 1:
s = 10/8
The gcd of 10 and 8 is 2, so 10/8 = (2×5)/(2×4) = 2/2×5/4 = 5/4:
Answer: s = 5/4
Answer: s = 1.25
Step-by-step explanation:
Please help asap i will mark branlist please explain both question
Answer:
5. C. {(22, 10), (23, 10), (24, 7), (25, 5)}
6. C. x = -2
Step-by-step explanation:
A relation is not a function if a vertical line intersects a graph of it in more than one place.
__
5. A set of ordered pairs is not a function if any of the first-values is repeated.
In set A, (22, ) is repeated.
In set B, (23, ) is repeated.
In set D, (24, ) is repeated.
In set C, no first-value is repeated, so the relation is a function.
__
6. The line x=-2 is a vertical line, so a vertical line intersect it in an infinite number of places. It is NOT a function.
What are the three terms in this expression 4x - 2y + 3
Answer:
4x, 2y, 3
Step-by-step explanation:
The terms are the number and variables separated by the minus sign and plus sign.
The three terms in the expression 4x - 2y + 3 are 4x, -2y and 3.
The given expression is 4x-2y+3.
What are terms in the expression?A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
In the given expression 4x-2y+3, the three terms are 4x, -2y and 3.
Therefore, the three terms in the expression 4x - 2y + 3 are 4x, -2y and 3.
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Is 8in 15in and 17in a right triangle
Answer:
YesStep-by-step explanation:
Since 8^2+15^2 = 289 and 17^2 = 289 then 8^2+15^2 = 17^2
8^2+15^2 = 17^2 Then according to the reciprocal of the Pythagorean theorem
it’s a right triangle
Decribe each transformation given a quadratic equation
[tex]\boxed{g(x)=2x^2+31x+130}[/tex]
Explanation:Hello! Remember to write complete questions in order to get good and exact answers. Here you haven't provided any quadratic equation, so I could help you in a general way. A quadratic equation is given by the form:
[tex]f(x)=ax^2+bx+c \\ \\ a,b,c \ constant \ and \ a\neq 0[/tex]
Suppose you have the following quadratic equation:
[tex]f(x)=2x^2+3x+6[/tex]
Perform the following transformation:
Shift the graph of f 5 units upShift the graph of f 7 units to the leftThen, we get:
[tex]g(x)=2(x+\mathbf{7})^2+3(x+\mathbf{7})+6+\mathbf{5}[/tex]
[tex]\left(x+7\right)^2:\quad x^2+14x+49 \\ \\ g(x)=2\left(x^2+14x+49\right)+3\left(x+7\right)+6+5 \\ \\ \\ g(x)=\:2x^2+28x+98+3x+21+6+5 \\ \\ \boxed{g(x)=2x^2+31x+130}[/tex]
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