Answer:
1.68
Step-by-step explanation:
log723.7=2.86
multiplication in log is addition so 2.86+
log0.0667=-1.18
so 2.86+-1.18=1.68
If F(x) = 4x - 3, which of the following is the inverse of F(x)?
A. F'(x) =4x+3/7
B. F'(x) = 4x-3/7
C. F'(x) = 7x+3/4
D. F'(x) = 7x-3/4
Answer:
c)( 7x+3)/4
Step-by-step explanation:
c) (7x+3)/4
A birdwatcher on a cliff saw an eagle 8 meters below him. Earlier, he had spotted the eagle 9 meters below him. What is the difference from earlier to now? ___ meter(s)
Answer:
1 meter
Step-by-step explanation:
Previous spot of the eagle = 9 meters below him
Present spot of the eagle = 8 meters below him
What is the difference from earlier to now?
Diffetence in the spotting = Earlier position - present position
= 9 meters - 8 meters
= 1 meter
pls help asap whats the local min value of the function below?
Answer:
given function has 2 minimums - [tex]\frac{9}{4}[/tex] and [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Step 1. g'(x) = 4x³ - 10x
Step 2. Find find the critical points:
4x³ - 10x = 2x(2x² - 5) = 0
[tex]x_{1}[/tex] = - [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]x_{2}[/tex] = 0 , [tex]x_{3}[/tex] = [tex]\sqrt{\frac{5}{2} }[/tex]
Step 3. g'(x) > 0 : - [tex]\sqrt{\frac{5}{2} }[/tex] < x < 0 or x > [tex]\sqrt{\frac{5}{2} }[/tex]
g'(x) < 0 : x < - [tex]\sqrt{\frac{5}{2} }[/tex] or 0 < x < [tex]\sqrt{\frac{5}{2} }[/tex]
Step 4.
If x ∈ ( - ∞ , - [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;
If x = - [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;
If x ∈ ( - [tex]\sqrt{\frac{5}{2} }[/tex] , 0 ) , g(x) is increasing ;
If x = 0 , g(x) has maximum value ;
If x ∈ ( 0 , [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;
If x = [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;
If x ∈ ( [tex]\sqrt{\frac{5}{2} }[/tex] , ∞ ) , g(x) is increasing .
⇒ at ( - [tex]\sqrt{\frac{5}{2} }[/tex] , - [tex]\frac{9}{4}[/tex] ) and at ( [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]\frac{9}{4}[/tex] ) , g(x) reaches its minimum
what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
one
Step-by-step explanation:
If two lines are not parallel, they will intersect one time as shown by the graph given.
Where the two graphs intersect is the solution to the system.
Davit and Mila are both travelling by train.
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km.
It leaves at 12:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
32 km/h
Step-by-step explanation:
Davit's Train travels at 108 km/h
Mila's train travels at 140 km/h
140-108=32
Therefore the difference in their average speed is 32 km/h
reduce
0.1 x squared - 8.1 x + 8 = 0 to
2x squared - x + 80 = 0
Answer:
x = 8
x = -10
Step-by-step explanation:
Please help, I need the answer by tomorrow!
Answer:
6, 5, 4
Step-by-step explanation:
Midpoint is exactly half so it would be half the value of triangle ABC's value
12/2=6
10/2=5
8/2=4
The table below shows the percentage mark distribution of a number of candidates in a physics examination.
The table is in the attached image.
The completion of the table is :
Mark : 90-99
Frequency : 2
1. Make a cumulative frequency table and use it to draw the cumulative frequency curve.
II. from your graph estimate :
a. the Median Mark
b. the number of candidates that passed if the pass mark was 45% .
c. what is the probability that a person chosen at random from the candidates passed the examination.
Answer:
See belowStep-by-step explanation:
(b)
The table is attached(i)
The graph is attached(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point.
The number of candidates passed the test:
500 - 177 = 323(iii) P(pass) = 323/500 = 0.626 or 62.6%
Help I have 2 minutes left
Answer:
the second one from top coz it is pointed on 2 so dollar 2
Which best describes the incenter of a triangle?
O A. The point where the three altitudes of the triangle intersect
O B. The point where the three medians of the triangle intersect
O C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D. The point where the three angle bisectors of the triangle intersect
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
Help anyone can help me do this question,I will mark brainlest.
Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
3. For this problem I'm going to use the formula Area = π × r²
To start off, I'm going to input our value of radius which is 4cm.
π × 4²
Finally, I'm going to square our value "4"
16π cm²
(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²
4. For this problem I'm going to use the formula Area = π × (d/2)²
To begin, I will divide our diameter by 2 to find the radius.
17.5/2 = 8.75
Next, we are going to square our now, radius.
8.75² = 76.5625
Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)
76.5625 × 22/7 = 240.625 cm²
So! This is our final answer!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Find questions attached.
Show Working.
Answer:
Q5As the opposite angles of a cyclic quadrilateral, A is supplementary with C and B is supplementary with D.
In the trapezoid, angle A is supplementary with D and angle B is supplementary with C.
It means ∠A ≅ ∠B and ∠D ≅ ∠C
Now, ∠ABD ≅ ∠ACD as both angles intercept same arc AD.
So we have:
m∠B = m∠ABD + m∠DBC = 35° + 72° = 107°andm∠C = 180° - m∠B = 180° - 107° = 73°So angles B and A are 107° and angles D and C are 73°
Q6PXR is exterior angle of triangle XSR.
Angles Q and S are supplementary as opposite angles of a cyclic quadrilateral QPSR.
m∠PXR = m∠XRS + m∠XSR = 20° + (180° - 80°) = 120°Each day a company uses 7/10 of a box of paper. How much paper was used after 9 days?
Answer:
6 3/10 box
Step-by-step explanation:
7/10 box * 9 = 63/10 box = 6 3/10 box
Dylan invested $4,400 in an account paying an interest rate of 9 1/8% compounded continuously. Anna invested $4,400 in an account paying an interest rate of 9 3/8% compounded monthly. To the nearest dollar, how much money would Anna have in her account when Dylan's money has tripled in value?
Answer:
13544
Step-by-step explanation:
not a real question I just need help to figure it out what is this
Answer:
y=mx+b
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
y = kx+b
Most people write this
y = mx+b where m is the slope and b is the y intercept
If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?
Answer:
1050 people
Step-by-step explanation:
if there are x people at a conference
then 40% of x = 420
40% can be written as 40/100 --> 4/10 --> 2/5
2/5 * x = 420
x = 420 * 5/2
x = 1050
Factorise x + 5x + 6
Answer:
x= -2, -3
Step-by-step explanation:
I think you meant x^2+5x+6
(x+2)(x+3)
x= -2,-3
Please tell what's the answer and also mention the steps to get the answer.
Answer:
Hope it helps
Option (C) is correct answer
Maisie has three times as many CDs as Ken. ken has twice as many CDs as Jo. Jo has more than 10 CDs. What is the least number of CDs that Masie can have?
Answer:
Least number is 60.
Step-by-step explanation:
Let the number of CDs has Jo be represented by x + 10. Where x = 0, 1, 2, 3....
Then, since Ken has twice as many CDs as Jo, the number of CDs that Ken has can be expressed as;
2(x + 10) = 2x + 20
Maisie has three times as many CDs as Ken, then the number of CDs that Maisie has can be expressed as;
3(2x + 20) = 6x + 60
Thus to determine the least number of CDs that Maisie can have, let x = 0.
3(2x + 20) = 6x + 60
= 6(0) + 60
= 60
Therefore, the least number of CDs that Maisie can have is 60.
Based on this data, are "being in high school" and "GPA above 3.0" independent events? Yes, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) Yes, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0)
Answer:
No, P(high school | GPA above 3.0) ≠ P(high school)
Step-by-step explanation:
Given
See attachment for table
Required
Determine if High school and GPA above 3.0 are independent
Let
[tex]H \to[/tex] High school
[tex]G \to[/tex] GPA above 3.0
For both events to be independent, the following must be true
[tex]P(H\ |\ G) = P(H)[/tex]
From the table:
[tex]P(H) = \frac{H}{Total}[/tex]
[tex]P(H) = \frac{60}{100} = 0.60[/tex]
[tex]P(H | G) = \frac{H\ n\ G}{G}[/tex]
[tex]P(H | G) = \frac{14}{40} = 0.35[/tex]
The test for independence is as follows:
[tex]P(H\ |\ G) = P(H)[/tex]
By comparison
[tex]P(H\ |\ G) \ne P(H)[/tex]
i.e.
[tex]0.35 \ne 0.60[/tex]
Hence, both events are not independent
Instructions : Find EX if JX = 17 plz help I don’t understand
Answer:
EX = 51
Step-by-step explanation:
The 3 intersecting lines in the triangle are medians.
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is
EJ = 2 JX = 2 × 17 = 34 , then
EX = EJ + JX = 34 + 17 = 51
write down the pair of integer whose
(a) sum is -5
(b) sum is 9
(c) sum is 0
(d) difference is -20
Answer:
(a) -9 and 4
(b) 5 and 4
(c) -6 and 6
(d) 19 and -1
integers r numbers like 1, 2, 3, -3, -1, etc. basically they cannot have decimals or fractions or anything weird, they r whole numbers that can be negative or positive.
Use a table of values to graph the function ƒ(x) = + 4. Select the correct graph below.
Answer:
C.
Step-by-step explanation:
+4 in the function means the graph crosses the y axis at +4
Answer:
C)
Step-by-step explanation:
See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.
find x. need help w this question in the pic, thanks a lot !
Answer:
x=56 degrees
Step-by-step explanation:
the triangles are similar and the two curves match up which mean congruent so the angels are congruent
Someone please help out
Answer:
Option D
Step-by-step explanation:
Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.
1. Giles thinks that -5x²(3x - 4) simplifies to 15x² + 20x². Explain what mistakes he made. What is the
correct answer?
Answer:
The mistake was minus sign before the 15 and putting 15x² instead of 15x³.
The correct answer is:
[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]
WILL GIVE BRAINLIEST IF UR RIGHT!
Find g(x), where g(x) is the translation 6 units up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x)=x^2+6[/tex]
Step-by-step explanation:
Hi there!
We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.
This means that [tex]g(x)=f(x)+6[/tex].
[tex]g(x)=f(x)+6[/tex]
Rewrite the equation
[tex]g(x)=x^2+6[/tex]
This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.
I hope this helps!
A rectangle has a width of 4.9 cm and an area of 81.9 cm².
Which of the following is closest in value to the height of the rectangle? Circle your answer.
16 cm
20 cm
8 cm
25 cm
Which of the following has the greatest value? * 9+ (-9) 9-(-9) 9X(-9) 9/(-9)