Answer:
does not have a solution because √-0.75 ≠ R
Step-by-step explanation:
x^2 - 5x + (5/2)^2 = -7
x^2 - 5x + 6.25 = -7 + 6.25
(x - 2.5)^2 = -0.75
(x - 2.5) = √-0.75
does not have a solution because √-0.75 ≠ R
Answer:
x = (1/2)(5 ± i√3)
Step-by-step explanation:
x² - 5x + 7 = 0
subtract 7 from both sides
x² - 5x = -7
Use half the x coefficent, -5/2, as the complete the square term
(x - 5/2)² = -7 + (-5/2)²
(x - 5/2)² = -7 + 25/4
(x - 5/2)² = -3/4
Take the square root of both sides
x - 5/2 = ±(√-3) / 2
x - 5/2 = ±(i√3) / 2
Add 5/2 to both sides
x = 5/2 ± (i√3) / 2
factor out 1/2
x = (1/2)(5 ± i√3)
2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
Q3:
Median:
IQR:
QI:
Outliers:
Answer:
51
Step-by-step explanation:
ascending order. 38,41,42,47,48,51,72,74,74,77,129. n/2= 12/2= 6 +1= 7 median 51
Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Answer:
7.8 feet
Step-by-step explanation:
We can determine the Horizontal distance using trigonometry ;
Using the relation :
Cosθ = adjacent / hypotenus
Cos 61 = x / 16
x = cos 61 * 16
x = 0.4848096 * 16
x = 7.756
x = 7. 8 feet
5 more than the quotient of 3 and t
Answer and Step-by-step explanation:
[tex]\frac{3}{t}[/tex] + 5
Above is the answer.
#teamtrees #PAW (Plant And Water)
someone please help! (listing BRAINLIST and giving points) :D
Answer:
opp/adj
havent u pay attention in ur math class?
you will have to find the opp using a^2+b^2+c^2
Step-by-step explanation:
I hope this is help full to you
What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
A
120 cubic inches
B
220 cubic inches
16 cubic inches
158 cubic inches
Answer:
A; 120 cubic inches
Step-by-step explanation:
Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:
[tex]V= 8*3*5\\V=120[/tex]
A. The volume of the rectangular prism is 120 cubic inches.
I hope this helps! Let me know if you have any questions :)
which expression is equivalent to 4 to the 4th power * 4 to the negative 9th power
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
[tex]4^{13}[/tex]
Hope this helps!
6 tons equals how many lbs?
Answer:
12000
Step-by-step explanation:
Done
Answer:
12000 lbs
Step-by-step explanation:
configuration for tons to pounds is by multiplying the tons by 2000 lbs
1 ton = 2000 lbs
6 ton= ?
6 ton x 2000 lbs = 12000 lbs
Someone please help with this question, thank you
Answer:
2.4
Step-by-step explanation:
i saw the answeres
why can you use cross products to solve the proportion 18/5 = x/100 for x ?
Answer:
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
Step-by-step explanation:
Yes, you can use cross products to solve for x in that proportion.
Here's how you do it :
[tex]\frac{18}{5} = \frac{x}{100}[/tex]
We cross product, getting :
18 * 100 = 5 * x
1800 = 5x
Divide by 5 on both sides to get x by itself.
360 = x
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
Hope this helps, please mark brainliest if possible. Have a great day.
The table of values represents a polynomial function f(x).
How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4] ?
x f(x)
2 230
3 638
4 1048
5 3452
6 4568
7 5002
8 6294
Enter your answer in the box.
Given:
The table of values of the function f(x).
To find:
How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4]?
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
The average rate of change over the interval [5, 7] is:
[tex]m_1=\dfrac{f(7)-f(5)}{7-5}[/tex]
[tex]m_1=\dfrac{5002-3452}{2}[/tex]
[tex]m_1=\dfrac{1550}{2}[/tex]
[tex]m_1=775[/tex]
The average rate of change over the interval [2,4] is:
[tex]m_2=\dfrac{f(4)-f(2)}{4-2}[/tex]
[tex]m_2=\dfrac{1048-230}{2}[/tex]
[tex]m_2=\dfrac{818}{2}[/tex]
[tex]m_2=409[/tex]
The difference between the average rate of change over the interval [5, 7] and the interval [2, 4] is:
[tex]Difference=m_1-m_2[/tex]
[tex]Difference=775-409[/tex]
[tex]Difference=366[/tex]
Therefore, the average rate of change over the interval [5, 7] is 366 more than the interval [2, 4].
Answer:
366
Step-by-step explanation:
I took the test lol
If quadrilateral A’B’C’D’ = DK (ABCD), which of the following statements are true?
Select all that apply. (Hint: Draw a picture)
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1.
The corresponding side lengths are related by AB = k(A'B')
The corresponding side lengths are related by k(CB) = C'B'.
Answer:
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The corresponding side lengths are related by k(CB) = C'B'.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.
a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.
c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).
d) C'B' = k(CB)
Find the volume of the composite figure.
Consider two countries, A and B, whose respective industries produce goods A and B. Total world output of the good is given by Q = 9A + 9B. There is a world demand given by P = 100 – Q. Suppose that the cost function for country A is given by cA (CA) = 89 A while the cost function in country B is given by CB(9B) = 398. The production of the good generates greenhouse gas emissions which cause global climate change. Total world emissions are 0.5 per unit of good, such that total world emissions are 0.5Q. If the two countries' industries compete in a Cournot fashion, what will the total world emissions be? Now suppose country A imposes a tax on A's production of A to curb emissions. Country B, however, is not taxed. A's cost function is now CA(CA) = 492A, while B's cost function is CB(9B) = 493. World demand is P = 99 – Q. The amount of greenhouse gas emissions per unit is still 0.5, such that total world emissions are given by 0.5Q.
What are total world emissions after country A enacts a carbon tax?
Answer: hello your question is poorly written attached below is the complete question
answer :
a) 31.5
b) 24.5
Step-by-step explanation:
Total world output of good given ( Q ) = qA + qB
world demand ( P ) = 100 - Q
cost function for country A = cA (qA) = 8qA
cost function of country B = cB(qB) = 3qB
total world emission = 0.5Q
emission per unit good = 0.5
a) Determine total world emissions when both countries compete in a Cournot fashion
Q = 63
therefore Total world emission = 0.5 ( Q )
= 0.5 ( 63 ) = 31.5
attached below is the detailed solution
b) Determine the total world emissions after Country A enacts a carbon tax
Q = 49
Therefore Total world emission after tax = 0.5 ( Q )
= 0.5 ( 49 ) = 24.5
attached below is the detailed solution
Georgia, a florist, charges $7.95 per flower bundle plus a $12 delivery charge per order. If Charlie orders 8 flower bundles and has them delivered, how much does Georgia charge Charlie?
Answer:
75.6
Step-by-step explanation
HOPE I HELPED ;)
T
55
R
45
Find Q.
A. 40°
B. 80°
C. 130°
D. 260°
Answer:
B. 80°
Step-by-step explanation:
55+45=100
180-100=80
Q=80°
HELP ME ON THIS I HAVE MORE.
Answer:
The answer is 5 units.
Step-by-step explanation:
I just counted the squares
convert 6 miles to meters
Answer:
9656.06 meters
Step-by-step explanation:
In circle Q, the mLKM is 255º. Find the measurement of
Hope this help!!!
Have a nice day!!!
PLEASE HELP ASAP PLSSSSS !!!
Answer:
133 answer ---------------------------------------- helpful answer
Find area of ABC. Plz help !!!
Divide x3 + 5x2 + 5x – 3 by x + 3
Answer:
[tex]x^{2} + 2x - 1[/tex]
Step-by-step explanation:
We are solving for :
[tex]\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}[/tex]
Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]
[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]
= [tex]x^{2} + 2x - 1[/tex]
translate the following word phrases into algebraic experessions.
1.seven more than k
2.five added to q
3.three subtracted from m
4.c increased ny 12
5.twice n
A survey of 423 people shows that 321 have never received a traffic violation. Find the sample proportion of those who have received a traffic violation. *
1 point
A. 13%
B. 24%
C. 32%
D. 76%
I NEED HELP PLZ, PLZ, I NEED HELP, I AM BEGGING YOU
Answer:
tn = 8n -7
Step-by-step explanation:
given : t2=9, t4=25
the formula is:
tn = t1 + (n-1) d
gonna find d first:
d = (25-9) /(4-2) = 16/2 = 8
and find tn1:
t1 = 9-8 = 1
so, tn = 1 + (n-1) (8) = 1 +8n -8
tn = 8n -7
Answer:
Solution given
n th term[tn]=?
1st term =a
difference =d
we have
t2=9
a+(n-1)d=9
a+(2-1)d=9
a+d=9
a=9-d..................[1]
again
t4=25
a+(n-1)d=25
a+(4-1)d=25
now
substituting value of a
9-d+3d=25
2d=25-9
d=16/2
d=8
substituting value of d in equation 1.
,a=9-8
a=1
we have
tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7
n th term =8n-7
PLS HELP IM BEING TIMEDWhich of these statements is true? A) 349 > 456 B) 456 < 792 792 < 456 D) 792 > 863
Answer:
B
Step-by-step explanation:
792 is a bigger number than 456
Answer: B
Step-by-step explanation: 792 is larger than 456
Get brainiest if right!!
10 points!!
Answer:
Next three terms 0.28, 0.41 and 0.54
The formula for the nth term of an AP is a+(n-1)d
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
2/3
Step-by-step explanation:
Gradient of line
= (y1-y2) /(x1-x2)
= (3-(-1))/(4-(-2))
= (3+1)/(4+2)
= 4/6
= 2/3
A number pattern was created by dividing the previous term by 4. If the starting value for the pattern was 576, which of the following shows the resulting pattern?
A.
576, 144, 72, 9...
B.
576, 144, 36, 9...
C.
576, 144, 72, 5...
D.
576, 144, 36, 5...
Answer:
The answer is B!!!!!!!!!!!!
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
40 Right Angle Triangle
Step-by-step explanation:
180-50-90=x
x=40
Right angle triangle
Answer:
40
Step-by-step explanation:
90 + 50 = 140
A triange = 180
A right angle(aka the square) = 90
180 - 140 = 40
x = 40
please help me with this i’m begging!!!
Complete the proof.
Answer:
here u go
Step-by-step explanation:
is givenDef of midpointVertical angles theorem SAS1. Given -- that's pretty much always the first step
2. LN=NW, SN=NK. That's the Definition of Midpoint.
3. angle LNS=WNK. That's the Vertical Angles Theorem - vertical angles are congruent.
4. Triangle LNS=WNK. That's SAS, side-angle-side congruence.