This is the formula you are looking for Logb x = Loga x/Loga b
If 5,x,y,40 are in geometrical progression, find x and y respectively.
Answer:
x = 10, y = 20
Step-by-step explanation:
Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.
z³ = 8 → z = 2
Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!
4. Select the correct answer.
All units for Volume are units squared. units"2
All units for volume are units cubed. units^3
Answer:
All units for volume are units cubed. units^3
What type of relationship does this
pair of angles have?
BC
19°
no
161°
They are complementary angles.
none of the above
They are vertical angles.
They are supplementary angles.
HELP PLEASE
Answer:
They are supplementary angles.
Step-by-step explanation:
161+ 19 = 180
When two angles add to 180 degrees, they are supplementary angles
Answer:
Supplementary Angles
Step-by-step explanation:
They add to 180 degrees
Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent?
Answer:
No, they're not equivalent.Step-by-step explanation:
In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.
Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of
[tex]R=\frac{8}{24}=\frac{1}{3}[/tex]
Team Turbos Made 16 free throws and attempted 36, which give a ratio of
[tex]T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}[/tex]
As you can see, the ratio are diferent.
Therefore, the ratios are not equivalent.
Answer:
no
Step-by-step explanation:
Please help me with this math problem :)
Answer:
[tex]=2/4=1/2[/tex]
Step-by-step explanation:
1521 orange trees are planted in a garden in such a manner that there are as many trees in a row as there are rows in the garden. The number of trees in each row is
Answer: 39
Step-by-step explanation:
Total number of orange trees = 1521
Note :
There are as many trees in a row as there are rows in the garden.
Therefore :
Number of rows in the garden = number of trees in a row
Let the number of rows in the garden = y
Hence, the number of trees in a row also = y
Total number of trees in the garden = number of trees in a row × number of rows in the garden
Total number of trees in the garden = y × y
1521 = y × y ; 1521 = y^2
y = √1521
y = 39
Answer:
no.f trees in each row =39Step-by-step explanation:
Total number of orange trees = 1521
Note :
There are as many trees in a row as there are rows in the garden.
Therefore :
Number of rows in the garden = number of trees in a row
Let the no.f trees in each row =x
let the no.f rows=x
therefore total no.f trees =x raised to 2
x raised to 2 =1521
therefore x=39
there fore no.of rows =39
no.f trees in each row =39Graph the circle (2x - 3)2 + (y + 3)2 =36
Answer: 9 on the x axis and 18 on the y axis
Answer:
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]
Step-by-step explanation:
[tex]\left(2x-3\right)^2+\left(y+3\right)^2=36\\\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1\:\mathrm{is\:the\:ellipse\:standard\:equation}\\\mathrm{with\:center}\:\left(h,\:k\right)\:\mathrm{and\:}a,\:b\mathrm{\:are\:the\:semi-major\:and\:semi-minor\:axes}\\\mathrm{Rewrite}\:\left(2x-3\right)^2+\left(y+3\right)^2=36\:\mathrm{in\:the\:form\:of\:the\:standard\:ellipse\:equation}\\\left(2x-3\right)^2+\left(y+3\right)^2=36\\\mathrm{Rewrite\:as}\\\left(2x-3\right)^2+\left(y+3\right)^2-36=0[/tex]
[tex]\mathrm{Simplify}\:\left(2x-3\right)^2+\left(y+3\right)^2-36:\quad 4x^2-12x+y^2+6y-18\\4x^2-12x+y^2+6y-18=0\\\mathrm{Add\:}18\mathrm{\:to\:both\:sides}\\4x^2-12x+y^2+6y=18\\Factor\:out\:coefficient\:of\:square\:terms\\4\left(x^2-3x\right)+\left(y^2+6y\right)=18\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4\\\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}1[/tex]
[tex]\frac{1}{1}\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\frac{1}{1}\left(x^2-3x+\frac{9}{4}\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}[/tex]
[tex]\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y+9\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Refine\:}\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=9[/tex]
[tex]\mathrm{Divide\:by}\:9\\\frac{\left(x-\frac{3}{2}\right)^2}{9}+\frac{\left(y+3\right)^2}{36}=1\\\mathrm{Rewrite\:in\:standard\:form}\\\frac{\left(x-\frac{3}{2}\right)^2}{3^2}+\frac{\left(y-\left(-3\right)\right)^2}{6^2}=1\\\mathrm{Therefore\:ellipse\:properties\:are:}\\\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:a=3,\:b=6\\b>a\:\mathrm{therefore}\:b\:\mathrm{is\:semi-major\:axis\:and}\:a\:\mathrm{is\:semi-minor\:axis}[/tex]
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]
Choose all of the expressions that are equal to 6 × 45.
A. 6 × (40 + 5)
B. 4 + 2 × 45
C. (6 × 40) + (6 × 5)
D. (6 + 40) × (6 + 5)
E. 6 × (20 + 25)
Answer:
the answers are
option
A
B
E
Step-by-step explanation:
A. as when we do 40+5=45, so 6 x 45
B. as 4+2=6,so 6 x 45
E.as 20+25=45,so 6 x 45
What is the next step to solve this equation?
3x - 5 = 7
Answer:
Find the value of x the value is x=4
3x4=12
12-5=7
Step-by-step explanation:
The solution of the equation is [tex]x=4[/tex]
Linear equation :The given equation is,[tex]3x-5=7[/tex]
To solve above equation, isolate variable x on one side and constant numbers on other side of equation.
[tex]3x-5=7\\\\3x=7+5\\\\3x=12\\\\x=12/3\\\\x=4[/tex]
Learn more about the linear equation here:
https://brainly.com/question/14323743
PLEASE DO THESE NEEDED !!!!!!!!!!!!!!!!!!! PLEASE
Answer:
hope this works
Step-by-step explanation:
A1-x= 5
A2-x= 9
A3-x= 4
A4-x= -5
B1-x= 11
B2-x= 21
B3-x= 2
B4-x= -8
C1-x= 6
C2-x= 7
C3-x= 22/3 or 7.33
C4-x= 4.5
D1-x= 14
D2-x= 30
D3-x= 24
D4-x= 108
1) r= 10
2) n= -4
3) p= -9
4) r= 6
5) k= -4
6) n= 15
In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?
Answer:
Probability that a student who passed the test did not complete the homework = 0.07
Step-by-step explanation:
Given:
Total number of students = 28
Number of students who passed the test = 18
Number of students who completed the assignment = 23
Number of students who passed the test and also completed the assignment = 16
To find: probability that a student who passed the test did not complete the homework
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favorable outcomes/total number of outcomes
Let A denotes the event that students passed the test and B denotes the event that students completed the assignment
P(A only) = [tex]P(A)-P(A\cap B)[/tex]
Here,
[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]
So,
[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]
Therefore,
probability that a student who passed the test did not complete the homework = 0.07
Answer:
2/9
Step-by-step explanation:
The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition.
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?
Write your answer in simplest form.
Answer:
Slope is undefined
Step-by-step explanation:
Slope is calculated by [tex]\frac{y1-y2}{x1-x2}[/tex] so now you put the points (-10,4) and (-10,8) into that.
Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.
40$ to the markup rate of 65% what is the final price?
Answer:
$66
Step-by-step explanation:
that's the answer I thinkkkk
Hold do I solve this
Answer:
(x,y) -> (-y,x)
Step-by-step explanation:
You get the coordinates of the image provided and apply them to the rule so...
(-3,1) to (-1,-3)
(-2,-4) to (-4,2)
(-4,-4) to (4,-4)
Then, connect the points.
PLZ MARK BRAINLIEST!!!
A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need?
Answer:One pint and 16 quarts or one pint and four gallons
Step-by-step explanation:there are two pints in a quart and there are 4 quarts in a gallon.
Please help me ASAP. Need to hand in by today
Answer:
Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps
Please help!! Urgent! Due soon! - A bedroom is initially squat-shaped with each side x feet long. The room is then expanded so that the length of the room is increased by 3 feet, and the width increased by 4 feet. Choose the expression which represents how much bigger the area of the new bedroom is than the old bedroom.
Answer:
The second one; x²+7x+12
Step-by-step explanation:
So, since the beginning lengths of the square is x and x, the area of the square is x².
But then, you add 3 to one length, so that side is now (x+3), and then you add 4 to the width, so that is now (x+4).
Finally, you would multiply them together to get the equation you would use to find the new area.
For this, you would cross-multiply everything together; the x in the length by the x in the width, the x in the length by the 4 in the width, the 3 in the length by the x in the width, and then the 3 in the length by the 4 in the width. Now, all you have to do is add all of these together to get your answer.
Here's the work:
[tex](x+3)(x+4)\\x^{2}+3x+4x+12\\x^{2}+7x+12[/tex]
3x=4 How do I solve for X?
Answer:
x=4/3
Step-by-step explanation:
transpose 3 to the lhs
hope this helps
plzz mark me brainliest
what is the equation for, 5 more then 3 times the number is one-third more then the sum of the number and itself
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
The original prize of the computer is £537.63.
The given parameters:
Final prize of the computer, y = £500Percentage decrease in prize, = 7% = 0.07Original prize of the computerThe original prize of the computer is calculated as follows;
Let the original prize of the computer = x
y = x(1 - 0.07)
500 = x(1 - 0.07)
500 = 0.93x
divide both sides by 0.93
[tex]x = \frac{500}{0.93} \\\\x = 537.63[/tex]
Thus, the original prize of the computer is £537.63.
Learn more about percentage discounts here: https://brainly.com/question/1453984
Select three ratios that are equivalent to 8 : 20
A)1 : 4
B)4 : 10
C)24 : 60
D)2 : 5
E)10 : 24
｡☆✼★ ━━━━━━━━━━━━━━ ☾
It would be B, C and D
All of them simplify to 2 : 5
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Answer:
B, C, D
Step-by-step explanation:
So just simplify the ratio first:
Divide by 2 | 4 : 10
Divide by 2 | 2 : 5
Multiply the ratio next:
Multiply by 3 | 24 : 60
The roads that connect three buildings form a right triangle. Use the image to find the distance between the library and the museum.
Answer:400 yards
Step-by-step explanation:Let L represents the position of library, R represents the restaurant and M represents the museum,
Since, By the given diagram,
∠MLR = 90°,
LR = 300 yd,
RM = 500 yd,
So, by the Pythagoras theorem,
By substituting the values,
Hence, the distance between library and museum is 400 yards.
i have 811 handkerchiefs in all and need 25 for one quilt
Answer:
32.44 quilts will be sewn
Step-by-step explanation:
811/25 = 32.44
Answer:
32 quilts with .44 left over
Step-by-step explanation:
This answer is assuming you are trying to find how many quilts you can make
Please help!
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a 4?
Simplify your answer and write it as a fraction or whole number.
Answer: 1/16
Step-by-step explanation: It's important to understand that the two spins are called independent events because the outcome of the first spin does not affect the outcome of the second spin.
To find the probability of independent events, we first find the probability of each event, then we multiply the probabilities together.
Since there is one 4 on the spinner and four possible outcomes, each of which is equally likely, the probability of spinning a 4 is 1/4.
This mens that 1/4 is the probability of
getting a 4 on the second spin too.
Now we multiply.
1/4 x 1/4 gives us 1/16.
So the probability of spinning a 4 twice is 1/16.
Please help me now plz I will mark you brainliest
Answer:
5.66 units.
Step-by-step explanation:
cos 25 =- adjacent side / hypotenuse
cos 25 = 4 / AB
AB cos 45 = 4
AB = 4 / cos 45
= 5.66.
One week, Lucy earned $234.00 at her job when she worked for 13 hours. If she is
paid the same hourly wage, how many hours would she have to work the next week to
earn $108.00?
Answer: 6 hours
Step-by-step explanation:divide 234 by 13 234/13 you get
18 divide 108 by 18 and then you get
6
Find the slope of the line passing through the points (0,3) & (5,-1)
Answer:
[tex]-\frac{4}{5}[/tex]
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (0,3) and (5,-1).
[tex]m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}[/tex]
The slope is -4/5.
Answer:
y=mx+b
y=8/10x+(0,3)
Step-by-step explanation:
hope this helps
Proving the Parallelogram Side Theorem
The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.
What is the parallelogram side theorem?It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.
Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.
Learn more about parallelogram on:
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A triangle with side measures 17 cm,15 cm, and 12 cm is a (n) _________ triangle
Answer:
scalene
Step-by-step explanation:
all sides have different measurements