Answer:
yes please you can share question.
4x^2-400=0
square roots and solving quadratics
Answer:
x = ±10
Step-by-step explanation:
4x² - 400 = 0
Add 400 to both sides
4x² = 400
Divide both sides by 4
x² = 100
Take the square root of both sides
x = ±10
DUE SOON! TRIED THIS QUESTION 100 TIMES AND CANT GET THE RIGHT ONE! PLEASE SOMEON EXPLAIN AND HELP OUT DUE SOON!!
I already did the graphing part I need help with finding the slopes and lengths.
Kindly check below.
1) Note that we need to find the slopes of the lines in order to classify that quadrilateral.
2) So, we need to find the slope of each line segment:
\(\begin{gathered} m_{UV}=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-1}{-2-(-5)}=\frac{-2}{3}=-\frac{2}{3} \\ \\ m_{VW}=\frac{2-(-1)}{3+2}=\frac{3}{5} \\ \\ m__{WX}=\frac{4-2}{1-3}=\frac{2}{-2}=-1 \\ \\ m_{XU}=\frac{4-1}{1-(-5)}=\frac{3}{6}=\frac{1}{2} \end{gathered}\)3) Now, let's find the length of all sides as requested.
\(\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ d_{UV}=\sqrt{(-2+5)^2+(-1-1)^2}=\sqrt{13}\approx3.6 \\ \\ d_{VW}=\sqrt{(3+2)^2+(2+1)^2}=\sqrt{34}\approx5.8 \\ \\ d_{WX}=\sqrt{(1-3)^2+(4-2)^2}=2\sqrt{2}\approx2.8 \\ \\ d_{XU}=\sqrt{(-5-1)^2+(1-4)^2=}\:3\sqrt{5}\:\approx6.7 \end{gathered}\)4) Finally, we can tell that quadrilateral can be best identified as a parallelogram.
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y=-x²
+7x+1 and the path of the dogis modeled by y = 2x + 5, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
A: Yes, they intersect at the coordinates (1,7) and (4, 13)
B: Yes, they intersect at the coordinates (1,9) and (2, 9)
C: Yes, they intersect at the coordinates (2, 11) and (3, 11)
D: No, the paths do not cross
the intersection points are (1, 7) and (4, 13), So the correct option is A.
Will the dog catch the frisbee?
To see that, we need to see when the two equations:
y = -x²+7x+1
y = 2x + 5
Can be solved simultaneously for a point (x, y). So we need to solve a system of equations.
y = -x²+7x+1
y = 2x + 5
We can rewrite:
-x²+7x+1 = y = 2x + 5
Then we can solve this for x:
-x²+7x+1 = 2x + 5
x² - 5x + 4 = 0
This is just a quadratic equation, the solutions are:
\(x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*(1)*(4)} }{2} \\\\x = \frac{5 \pm 3 }{2}\)
So we have two values of x:
x = (5 + 3)/2 = 4x = (5 - 3)/2 = 1The correspondent values of y are:
y = 2*(4) + 5 = 13
y = 2*(1) + 5 = 7
Then the intersection points are (1, 7) and (4, 13)
Then the correct option is A. The dog will catch the frisbee.
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If you DIVIDE both sides of an inequality by a POSITIVE number, do you need to flip the direction of the inequality?
Answer:
Step-by-step explanation:
kk g jj k easy a answer
These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
Find domain and range
Homework: Section 5.2 HomeworkQuestion 1, 5.2.7HW Score: 88.33%, 10.6 of 12 pointsPart 2 of 6« Points: 0 of 1Previous questionA medical practice group consists of seven doctors, 4 women and 3 men. The women are Dre, Jonswold, Hein, O'Conell, and Lee. The men are Drs. Penner, Paquette, and Marland. Supposenew patients are randomly assigned to one of the doctors in the group, Complete parts (a) through (d) below.
Solution
Total numbers of Doctors = 7
Number of female doctors = 4
Number of male doctors = 3
The probability that the patient is assigned to a female doctor is given as
\(p=\frac{4}{7}\text{ \lparen as a fraction\rparen}\)To express as a percentage
\(undefined\)help pls with question
Answer:
Step-by-step explanation:
It is a right triangle. The hypotenuse is 6+9=15.
Pythagorean Theorem: 9² + ?² = 15²
?² = 15² - 9² = 225 - 81 = 144
? = √144 = 12
a horizontal line , such as y=4, has a slope of what
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
Zhen borrows $1,200. She borrows the money for 2 years and owes $180 in simple
interest. What is the yearly simple interest rate on Zhen's loan? Show your work
Answer: 7.5
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
I = 1200 × 0.075 × 2 = 180
I = $ 180.00
if a number is added by 2 the answer is10 find the number
In the figure shown, WY – XZ,WZLZY and WZIZY.Prove AWZY - AXYZ.
Ok, so
We know that WZ and ZY are perpendicular, so XY and ZY has to be also perpendicular.
We also know that WY and XZ are similar sides, so:
Since 2 sides are congruent, they share a side and they are right triangles, by Pythagoras's theorem the third sides are also congruent. Both triangles share the ZY side, both have a 90° angle, and WY=XZ.
Question 2
ok, so
We know that all sides of a square are equal.
Notice that the diagonal, divides the square in two equal triangles.
As the triangles are equal, (because the hypotenuse is the same for both), both triangles are congruent.
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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I need help with this
A circle has a radius of 11 ft. Find the radian measure of the central angle θ that intercepts an arc of length 9 ft. Do not round any intermediate computations, and round your answer to the nearest tenth.
The radian measure of the central angle θ is 5.4 radians.
Find the radian measure of the central angle θ that intercepts an arc of length 9 ft.The radian measure of a central angle is the ratio of the arc length to the radius of the circle. To calculate the radian measure of the central angle, we must divide the length of the arc (9 ft) by the radius of the circle (11 ft). 9ft/11ft = 0.818181818Therefore, the radian measure of the central angle θ is 0.818181818. To convert this value to a decimal to the nearest tenth, we must multiply the value by 10 and round to the nearest tenth.0.818181818 x 10 = 8.18181818Rounding to the nearest tenth, the radian measure of the central angle θ is 8.2.The radian measure of the central angle of a circle can be found using the formula θ = s/r, where s is the length of the arc and r is the radius of the circle. In this case, s = 9 ft and r = 11 ft, so θ = 9/11.To find the radian measure of the central angle, we need to convert the fraction 9/11 into decimal form, which yields 0.818181818....To convert this decimal into radians, we can multiply it by 2π and get 5.06544 radians. Finally, to round this answer to the nearest tenth, we can round 5.06544 to 5.1 radians.Therefore, the radian measure of the central angle θ that intercepts an arc of length 9 ft on a circle with a radius of 11 ft is 5.1 radians.To learn more about The radian measure of the central angle refer to:
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find all of the zeros of p(x)= x^3+10x^2+34x+40, given that -3+i is a zero. ( if there is more than one zero, separate them with commas.)
You have the folllowing function:
\(P(x)=x^3+10x^2+34x+40\)You need to remember the Conjugate zeros theorem, which states that if the polynomial function has a complex zero, then its complex conjugate is also a zero.
Knowing that the following is a zero of the function:
\(-3+i\)You can determine its conjugate by changing the sign in the middle of the terms. Then:
\(-3-i\)In order to find another possible zero, you can follow the steps shown below. You need to use the Rational root test. Every Rational root will have this form:
\(\frac{p}{q}\)Where "p" is a factor of the Constant term and "q" is a factor of the Leading coefficient. Notice that the Leading coefficient is 1.
1. Find the factors of the Constant term. The possible Rational roots are:
\(\pm1,\pm2,\pm4,\pm5,\pm8,\pm10,\pm20,\pm40\)2. Substituting and evaluating, you get:
\(\pm\frac{1,2,4,5,8,10,20,40}{1}=\pm1,\pm2,\pm4,\pm5,\pm8,\pm10,\pm20,\pm40\)3. Substitute each value into the function and evaluate. If
\(P(x)=0\)Then that value is a zero of the function.
Therefore, substituting each value into the function, you get:
\(\begin{gathered} P(1)=(1)^3+10(1)^2+34(1)+40=85 \\ \\ \\ P(-1)=(-1)^3+10(-1)^2+34(-1)+40=15 \\ \\ P(2)=(2)^3+10(2)^2+34(2)+40=156 \\ \\ P(-2)=(-2)^3+10(-2)^2+34(-2)+40=4 \\ \\ P(4)=(4)^3+10(4)^2+34(4)+40=400 \\ \\ P(-4)=(-4)^3+10(-4)^2+34(-4)+40=0\text{ (This is a root)} \\ \\ P(5)=(5)^3+10(5)^2+34(5)+40=585 \\ \\ P(-5)=(-5)^3+10(-5)^2+34(-5)+40=-5 \\ \\ P(8)=(8)^3+10(8)^2+34(8)+40=1464 \\ \\ P(-8)=(-8)^3+10(-8)^2+34(-8)+40=-104 \\ \\ P(10)=(10)^3+10(10)^2+34(10)+40=2380 \\ \\ P(-10)=(-10)^3+10(-10)^2+34(-10)+40=-300 \\ \\ P(20)=(20)^3+10(20)^2+34(20)+40=12720 \\ \\ P(-20)=(-20)^3+10(-20)^2+34(-20)+40=-4640 \\ \\ P(40)=(40)^3+10(40)^2+34(40)+40=81400 \\ \\ P(-40)=(-40)^3+10(-40)^2+34(-40)+40=-49320 \end{gathered}\)As you can notice, the other root is:
\(x=-4\)The answer is (The zeros are separated by commas):
\(-3-i,\text{ }-3+i,\text{ }-4\)
7. A scuba diver's depth in yards as a function of time in minutes (x) is
represented by the equation d(x) = 12x² - 144x.
a. What was the deepest the diver went?
b. How long did it take the diver to return to the surface?
c. How deep was the diver after one minute?
a) The deepest that the diver went is of: 432 yards deep.
b) It took 12 minutes for the diver to return to the surface.
c) After one minute, the diver was 132 yards deep.
How to obtain the features?The quadratic function modeling the diver's height after x seconds is given as follows:
d(x) = 12x² - 144x.
The coefficients are given as follows:
a = 12, b = -144, c = 0.
The x-coordinate of the vertex is given as follows:
x = -b/2a
x = 144/24
x = 6.
Item a:
As a > 0, in item a, the minimum height is given as follows:
d(6) = 12(6)² - 144(6)
d(6) = -432 feet.
Item b:
The roots of the function, in item b, are obtained as follows:
12x² - 144x = 0
12x(x - 12) = 0
Hence:
12x = 0 -> x = 0.x - 12 = 0 -> x = 12.12 - 0 = 12, hence it took 12 minutes for the diver to return to the surface.
Item c:
After one minute, the depth of the diver, in item c, is given as follows:
d(1) = 12(1)² - 144
d(1) = -132 yards.
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Decimal Numbers on Number Lines
С
B
G2
++ +++
-3
1
-1
-4
-2
0
CE
=
A=
BE
Answer:
What's Yo Question What Chu Need Help With ?
A cash prize is randomly placed into certain cereal boxes that sell for $5. A $1 prize is placed in 10% of cereal boxes, a $5 prize is placed in 5% of cereal boxes, while 10% of boxes receive a $20 prize. The other boxes do not receive any cash prizes. What is the expected value of the cash prizes if you include the cost of purchasing the cereal in your calculations?
Answer:
-2.65 usd
Step-by-step explanation:
1. Note that 10%= probability 0.1 5%= 0.05 .
Lets find the average prize value :
1 usd *P(1 uzd)+5usd *P(5usd)+20,usd*P(20usd)=
= 1*0.1+5*0.05+20*0.1=2.35 USD is a value average prize brutto.
However for 1 turn the player has to pay 5 USD.
That means the net value is 2.35-5=-2.65 USD
Actually it means that every turn the player loses 2.65 USD averagly.
Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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Does this equation represent direct proportion?
Yes, the equation y = 5x represents direct proportion.
What is a proportional relationship?In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y and x represent the variables.k represents the constant of proportionality.In order to have a proportional relationship, the variables representing the each of the quantities must have the same constant of proportionality:
Constant of proportionality, k = y/x
Constant of proportionality, k = 5/1
Constant of proportionality, k = 5.
In conclusion, we can logically deduce that the given equation represents direct proportion.
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Complete Question:
Does this equation represent direct proportion?
y = 5x
Consider the first quadrant of the unit circle. How does the covenant ratio change as the sine ratio increases?
Answer:
For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.
Step by Step:
Keep this in mind >>
Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.
All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
If a seed is planted, it has a 85% chance of growing into a healthy plant.
If 9 seeds are planted, what is the probability that exactly 4 don't grow? Round to 4 decimals.
The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.
What is the probability that 4 seeds won't grow?Let X be the number of seeds that don't grow.
X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).
So, probability of exactly 4 seeds not growing is:
P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)
P(X=4) = 70 * 0.00050625 * 0.4437053125
P(X=4) = 0.01572380701
P(X=4) = 1.57%
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A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
A.
28 feet
B.
-52 feet
C.
-28 feet
D.
52 feet
Answer:
The answer is D.
Step-by-step explanation:
It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.
What is the magnitude of a∠
Answer:
Step-by-step explanation:
65
18. Use common logarithms to approximate log,9 72 to four decimal places.
Answer:
\(\log _972 = 1.9463\)
Step-by-step explanation:
Given
\(\log_972\)
Required
Solve
Using the following laws of logarithm
\(\log _ab = \frac{\log b}{\log a}\)
We have:
\(\log _972 = \frac{\log 72}{\log 9}\)
Express 72 as 9 * 8
\(\log _972 = \frac{\log (9 * 8)}{\log 9}\)
So, we have:
\(\log _972 = \frac{\log (9) + \log(8)}{\log 9}\)
Split
\(\log _972 = \frac{\log (9)}{\log 9} + \frac{\log(8)}{\log 9}\)
\(\log _972 = 1 + \frac{\log(8)}{\log 9}\)
Express 8 and 9 as exponents
\(\log _972 = 1 + \frac{\log(2^3)}{\log 3^2}\)
This gives:
\(\log _972 = 1 + \frac{3\log 2}{2\log 3}\)
\(\log 2 = 0.3010\)
\(\log 3 = 0.4771\)
So, we have:
\(\log _972 = 1 + \frac{3*0.3010}{2*0.4771}\)
\(\log _972 = 1 + \frac{0.9030}{0.9542}\)
\(\log _972 = 1 + 0.9463\\\)
\(\log _972 = 1.9463\)
I need the answer
Anyone help pls
I believe its D. because you put the numbers from smallest to biggest
then find the median (middle number)
and mode is what number you see most often.
Can someone answer this asap?
Answer:
145
Step-by-step explanation:
six can go into eight once with a remainder of two, next you bring down the seven and you will get twenty seven, six can go into twenty seven four times six by four is 24,27 take away 24 is 3 then you bring down the one, six can go into 31 five times, six by five is 30, 31 take away 30 is one