If you meant to write [tex]\log_{b}(y) = x[/tex] then the statement is true.
As a more concrete example, something like [tex]\log_3(81) = 4[/tex] would be read out as "log base 3 of 81 is equal to 4".
a. 17.5
b. 20
c. 22.5
d. 25
Answer:
x = 22.5
Step-by-step explanation:
∠2 and ∠7 are known as alternate exterior angles. This makes them equal to each other.
100 = 4x + 10
90 = 4x
22.5 = x
please help asap ill give brainliest
Answer:
384 ft, this is the required answer
Answer:
area of shaded part = 512 ft^2
Step-by-step explanation:
find area of rectangle
length = 32 +8
=40 ft
breadth = 8 + 8
=16 ft
area of rectangle = l*b
=40*16 ft
=640 ft
since there are two square .we should find the area of two sqaure.
length = 8 ft
area of square = l^2
=8^2
=64 ft^2
area of another square = l^2
=8^2
=64 ft^2
area of shaded part = area of rectangle - (area of square + area of square)
=640 -(64 + 64) ft^2
=640 - 128 ft^2
=512 ft^2
pleaae help me solve this 61/2×(8/9÷13/18)+(3/4) of 31/5
Answer:
[tex]10 \frac{2}{5}[/tex]
Step-by-step explanation:
Using BODMAS
[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]
[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]
A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?
Answer:
1/2 or 0.5 hours
Step-by-step explanation:
r = time for repairman to fix one pair of shoes.
a = time for assistant to fix one pair of shoes.
a = r×1.5
x×r + y×a = 6
x = number of pairs of shoes repaired by repairman.
y = number of pairs of shoes repaired by assistant.
x+y = 10
y = 10-x
x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)
y = 10 - y×1.5
y + y×1.5 = 10
2.5×y = 10
y = 4
=> x = 6
6×r + 4×r×1.5 = 6
6×r + 6×r = 6
12×r = 6
r = 6/12 = 1/2 or 0.5 hours
can you tell me what these are?
Answer:
1. X-intercepts
2. Midpoint
3. Vertex
4. Y-Intercept
Step-by-step explanation:
x
+
5
y
=
20
x
+
3
y
=
14
Answer:
x = 28/97
y = 532/
Step-by-step explanation:
x + 5y = 20x + 3y
=> 5y - 3y = 20x - x
=> 2y = 19x
=> y = (19x)/2
x + 5y = 14
=> x + 5((19x)/2) = 14
=> x + (95x)/2 = 14
=> (2x + 95x)/2 = 14
=> 97x = 14(2)
=> 97x = 28
=> x = 28/97
=>y = (19x)/2 = (19(28))/(97(2)) = 532/194
Let $z$ and $w$ be complex numbers satisfying $|z| = 5, |w| = 2,$ and $z\overline{w} = 6+8i.$ Then enter in the numbers \[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark. Don't even know where to start.
I got 49 for the first one, 100 for the second one, 9 for the 3rd one, and 6.25 for the 4th one. But it was wrong, so I don't know how to do this question.
Answer:
1st entry: 41
3rd entry: 17
Step-by-step explanation:
The 1st and 3rd entry are incorrect.
We will use the following for the 1st and 3rd:
[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]
[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]
where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.
Let's do part 1 now)
25+4+2(6)
29+12
41
Let's do part 3 now)
25+4-2(6)
29-12
17
A sporting goods store pays $200 for a rubber raft. The percent of markup is 26%.
Find the raft's selling price,
Figure B is a scaled copy of Figure A.
Figure A
14
Figure B
56
16
7
64
28
What is the scale factor from Figure A to Figure B?
Answer:
4
Step-by-step explanation:
Notice each side was increased by 4 times
You can set up a ratio of
[tex]\frac{new}{old}[/tex]
then reduce or divide
Identify the maximum value of the function y = -472 - 24x + -36.
Answer:
I assume that this is a quadratic equation, something like:
y = -47*x^2 - 24x + (-36)
we can rewrite it as:
y = -47x^2 - 24x - 36
Ok, this is a quadratic equation and we want to find the maximum value.
First, you can notice that the leading coefficient is negative.
This means that the arms of the graph will open downwards.
Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.
Remember that for a general function
y = a*x^2 + b*x + c
the vertex is at:
x = -b/2a
So, in our case:
y = -47x^2 - 24x - 36
The vertex will be at:
x = -(-24)/(2*-47) = -12/47
So we just need to evaluate the function in this to find the maximum value.
Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)
y = -47*(-12/47)^2 - 24*(-12/47) - 36
y = -32.94
That is the maximum value of the function, -32.94
3x+25=7x URGNET urgenttt
Answer:
6.25
Step-by-step explanation:
3x+25=7x
3x-7x=-25
-4x=-25
x=6.25
Find the value of x in The parallelogram.
Answer:
11
Step-by-step explanation:
those alternate angles are equal to each other
5x+4=59
5x=55
x=11
Answer:
(5x + 4) = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
what value of x makes this preportion true? (2.12.3) (15 points)
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )
24x = 216 ( divide both sides by 24 )
x = 9 → A
You use the Internet to purchase 9 tickets for a concert The tickets are $22 each you have to play a handling fee of $3 per ticket and a shipping fee of $5 for the entire order. Use a problem solving plan to find your total cost.
Answer: $206
Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.
Which function is graphed below?
Answer:
[tex]g(x)=\sqrt{x+2}[/tex]
Step-by-step explanation:
Parent function of the given graph is,
f(x) = [tex]\sqrt{x}[/tex]
If the parent function is shifted 2 units to he left the new function or image function will be,
g(x) = [tex]\sqrt{x+2}[/tex]
Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].
(4/5 - 1/10) + 2/3
PLSS URGENT
Answer:
41/30
Step-by-step explanation:
4/5 ---> 24/30
1/10 ---> 3/30
2/3 ---> 20/30
(24/30 - 3/30) + 20/30 =
21/30 + 20/30 =
41/30
What is the slope of the line? y+5=2(x+1)
Answer:
2
Step-by-step explanation:
Convert the equation to slope-intercept form:
[tex]y+5=2(x+1)\\y+5=2x+2\\y=2x-3[/tex]
Therefore, the slope of the line is 2.
Answer:
2
Step-by-step explanation:
y+5=2(x+1) will turn into y=2x-3. Then you can see that the slope is 2 because 2x is = mx and m is slope.
13. The function y=16 cos(x)+k has a minimum value of -4. What is its maximum value? Explain.
Answer:
It's maximum value is 28.
Step-by-step explanation:
Cosine function:
The cosine function has the following format:
[tex]f(x) = A\cos{x}[/tex]
The difference between the maximum and minimum point is 2A.
y=16 cos(x)+k
A = 16, so 2A = 32.
Minimum value of -4. What is its maximum value?
[tex]M - (-4) = 32[/tex]
[tex]M + 4 = 32[/tex]
[tex]M = 32 - 4 = 28[/tex]
It's maximum value is 28.
What is the value of x in the equation of 7x-8=13
PLEASE HELP MEEE
Answer:
x = 3
Step-by-step explanation:
7x-8=13
Add 8 to each side
7x-8+8=13+8
7x = 21
Divide each side by 7
7x/7 = 21/7
x = 3
6th grade math help me pleaseeee
Answer:
i think C because both of the percentages shown should get what the question is asking
Step-by-step explanation:
Complete the table fraction | decimal
Answer:
1/5=0.2
0.3=3/10
1/2=0.5
7/10=0.7
3/4=0.75
What is this? Ianjansjshshsjssjsjjss
Answer:
1.2
Step-by-step explanation:
We want to find the y value when x = -6
When x = -6, y = 1.2
Translate this phrase into an algebraic expression.
Three more than the product of 10 and a number
Use the variable n to represent the unknown number.
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⊹˚ʚ ❑Answer︰3+(10n)
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
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What is the measure of
A. 55°
B. 45°
C. 90°
D. 35°
Answer:
D
Step-by-step explanation:
90-55=35 degrees ;)
Answer:
D
Step-by-step explanation:
as we know that all the angles in a rectangle are 90° so the,
you will get 90° - 55° = 35°
option D is the right answer.
please help i beg i never get these right
Answer:
[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Step-by-step explanation:
Given
[tex]\sin(105^o)[/tex]
Required
Solve
Using sine rule, we have:
[tex]\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)[/tex]
This gives:
[tex]\sin(105^o) = \sin(60 + 45)[/tex]
So, we have:
[tex]\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)[/tex]
In radical forms, we have:
[tex]\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}[/tex]
[tex]\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}[/tex]
Take LCM
[tex]\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}[/tex]
Rewrite as:
[tex]\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Hence:
[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
How do you find an equivalent rate with the bottom number (denominator) equal to 1?
PLEASE HELP DUE IN 4 MINUTES!!!!!!!!!!!!
A)Divide the denominator by the numerator
B)Divide both the numerator and denominator by 10.
C)Divide the numerator by the denominator.
Answer:
C) divide the numerator by the denominator
Step-by-step explanation:
Example
6/3=2/1
Find the area of this triangle in square centimeters .
Step-by-step explanation:
The answer is 24 I think.
using the formula for finding the area of a triangle, which is....
Area= b times height divided by 1/2 or 2
First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.
Step-by-step explanation:
the area of the triangle can be find by using the heron's formula...
that is:
√s-a×s-b×s-c
So,
a=8cm,b=6cm,c=10cm
Semi perimeter= 8+6+10/2=24/2=12
√12(12-8)(12-6)(12-10)
=√12×4×6×2
=√ 2×2×3×2×2×2×3×2
= √2×2×2×3
= 12 cm...
ASAP need help confused
Answer:
b= (3z-6)/(1+3z)
Step-by-step explanation:
z=(-b+6)/(3b-3)
cross multiple
z(3b-3)=-b+6
open the bracket
3bz-3z=-b+6
make -b the subject of the formula
-b = 3bz-3z-6
-b - 3bz = -3z - 6
factorize the left hand side...
-b(1+3z) = -3z-6
make -b the subject of the formula again
-b = -(3z-6)/(1+3z)
cancel the minus at both sides...
b = (3z-6)/(1+3z)
Answer:
b = [tex]\frac{3z + 6}{3z+1}[/tex]
Step-by-step explanation:
Simply solve for "b" , so the formula will be
b = .....
z = [tex]\frac{-b+6}{3b-3}[/tex] ( b > 0 )
z(3b - 3) = - b + 6
3zb - 3z = - b + 6
3zb + b = 3z + 6
b( 3z + 1 ) = 3z + 6
b = [tex]\frac{3z + 6}{3z+1}[/tex]
A line passed through the point (8,5) and has a slope of 2. Write an equation for this line
Since your question doesn't specify what form you need your answer in, I’ll answer in slope intercept form.
Slope intercept form looks like this: y = mx + b.
m represents slope, b represents y intercept. we already have the slope, 2. To find the y intercept, we can plug in the given values for x and y and solve for x.
y = 2x + b
5 = 2(8) + b
5 = 16 + b
- 11 = b
so, the y intercept is - 11. we can plug this into your equation.
y = 2x - 11
There you go! this is your final answer.
Answer:
y= 2x-11 ihope you like it plz mark it brilliantWhat is the absolute value of 6.57?
Answer: it should just be 6.57
Step-by-step explanation: