Answer:
[tex] \displaystyle B)x = {5}^{9} [/tex]
Step-by-step explanation:
we are given a logarithmic equation
[tex] \displaystyle \log_{5}(x) - \log_{5}(25) = 7[/tex]
simplify the log:
[tex] \displaystyle \log_{5}(x) -2 = 7[/tex]
add 2 to both sides:
[tex] \displaystyle \log_{5}(x) = 9[/tex]
remember that,
[tex] \displaystyle \log_{a}(b) = c \iff {a}^{c} = b[/tex]
so we obtain:
[tex] \displaystyle x = {5}^{9} [/tex]
hence,
our answer is B)
A rectangular prism tank has a base with a length of 40 inches, a width of 35 inches and a height of 12 inches. What is the volume of water in the tank if the tank is filled with water to 75% capacity ?
Answer:
12600 in³
Step-by-step explanation:
Applying,
V = lwh................. Equation 1
Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.
From the question,
Given: l = 40 inches, w = 35 inches, h = 12 inches
Substitute these values into equation 2
V = 40(35)(12)
V = 16800 in³
If the volume of water is 75% the capacity of tank.
Therefore,
Volume of water = 0.75(V)
Volume of water = 0.75(16800)
Volume of water = 12600 in³
4. Which list are the numbers in order from least to greatest
Answer:
a
Step-by-step explanation:
my brother told me....
Help me please help me please help me please !!!!!!!!!!!!!
Answer: y = 1/4x - 1.
Step-by-step explanation: This line has a slope (rise over run) of 1/4, and a y-intercept of -1. Plugging those values into slope-intercept form (y = mx + b) gives you the answer.
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
It is 34.90
Step-by-step explanation:
Your welcome!
What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3
Answer:
C.
Step-by-step explanation:
First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.
Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:
y = 2x + -3. or y = 2x - 3.
A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
Solve 2x-5/x-2 ≤ 1
please answer fast
Answer:
x<=-3
Step-by-step explanation:
2x-5/x-2 <= 1
Multiply both sides by x-2
2x-5<=x-2 (anything times 1 is that number.)
add 5 to both sides
2x<=x-3
subtract x from both sides
x<=-3
Answer:
Step-by-step explanation:
[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]
Select the correct graph of the equation.
Answer:
A
Step-by-step explanation:
The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.
I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!
Graph the line that passes through the points (7, 0) and (-2, 9) and determine the equation of the line.
Answer:
y = -1x + 7
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 0 / -2 - 7
9 / -9
= -1
y = -1x + b
0 = -1(7) + b
0 = -7 + b
7 = b
how to determine a polynomial expression
Answer:
hope this helps
Step-by-step explanation:
for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
For an expression to be in polynomial form , the following conditions must be met :
No square roots of variablesNo fractional or negative power on the variableNo variables in the denominator of any fraction.What is the value of x?
85°
92°
53°
Answer:
x = 46
Step-by-step explanation:
Vertical angles are equal so call the angle y
85+53 +y =y+ 92+x
Subtract y from each side
85+53 = 92+x
Combine like terms
138 = 92+x
Subtract 92 from each side
138 -92 = 92+x-92
46 =x
Find the sum of the first 7 terms of the following series, to the nearest integer.
125,50, 20, ...
Answer:
[tex]r = 2.5 \\ sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ = \frac{125( {2.5}^{7 - 1} )}{7 - 1} \\ = \frac{30517.6}{6} \\ = 5086.3[/tex]
A rectangular flower pot is 30 cm long, 16 cm wide and 12 cm high. How much soil is needed to fill the flower pot?
Help a bab out please?
Answer:
the answer is 55
Step-by-step explanation:
if you have a straight line each side equals 180 degrees so take 60+65 which equals 125 then do 180-125 and you get 55
Someone PLEASE help me !!
1. five times the product of two numbers x any y, divided by a third number z. what is the algebriac expression?
2. Seven times the product of two numbers x and y, less five, divided by thrice a third number z, what is the algebriac expression?
3. Half the product of two numbers x and y, minus five times a third number z. what is the algebriac expression?
4. three times a number x, minus four times a second number y, divided by seven times a third number. whats the algebriac expression?
Answer:
no lo entiendo lo que escribiste
Answer:
1.5(x+y)/z
2. 7(x+y)-5/3z
3.1/2(x+y)-5
4. 3x-4y/7z
When the sun shines at a 60° angle to the ground, Talisa's shadow is 36 inches long.
Answer:
Talisa is 62 inches tall
Step-by-step explanation:
tan = opp/adj
tan60 = opp/36
36 * tan 60 = opp
use calculator
opp = 62.353829072479583
Rounded
Talisa is 62 inches tall
Answer:
Using the right triangle created by this situation, and the fact that the trig ratio tan(θ) = opposite/adjacent, we can say tan(60°) = h/36 or h = 36•tan(60°) = 62.354So, to the nearest inch, Talisas is 62 inches long.if you satisfied to my answer ,can you put brainliest in top of my name , and ur welcomeComplete the square of the quadratic equation x^2 - 2x - 35 = 0. What is the vertex of the equation?
( )( )
Answer:
Step-by-step explanation:
x^2 - 2x - 35 = 0
Solve for x over the real numbers:
x^2 - 2 x - 35 = 0
Add 35 to both sides:
x^2 - 2 x = 35
Add 1 to both sides:
x^2 - 2 x + 1 = 36
Write the left hand side as a square:
(x - 1)^2 = 36
Take the square root of both sides:
x - 1 = 6 or x - 1 = -6
Add 1 to both sides:
x = 7 or x - 1 = -6
Add 1 to both sides:
Answer: x = 7 or x = -5 as for the vertex plane curve | Cartesian equation x^2 - 2 x - 35 = 0 | vertex (not a possible affine variety)
2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c
A=
B=
C=
Please I'm gonna fail math
9514 1404 393
Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
___
You seem to have ...
[tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]
_____
Additional comment
I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.
[tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]
Multiplication increases the number of times the base is a factor.
[tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]
Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.
[tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.
Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m
= [tex]2.5[/tex] m
Volume of the cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get
[tex]V_1=(3.14)(2.5)^2(3)[/tex]
[tex]V_1=(3.14)(6.25)(3)[/tex]
[tex]V_1=58.875[/tex]
Volume of a cone is:
[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get
[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]
[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]
[tex]V_2\approx 13.083[/tex]
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
[tex]V=V_1+V_2[/tex]
[tex]V=58.875+13.083[/tex]
[tex]V=71.958[/tex]
[tex]V\approx 72[/tex]
Therefore, the volume of the kiosk is 72 cubic meter.
The point-slope form of the equation of a line that passes through points (8. 4) and (0, 2) is y-4 = (x-8). What
is the slope-intercept form of the equation for this line?
O y= 2 x - 12
O y=-x-4
o y=+*+2
O y=x+6
Answer:
answer y=x-4
Step-by-step explanation:
slope intercept from is y=mx+b
m=slope b=y intercept
convert current equation to slope intercept
y-4=x-8
add 4 to both sides
y=-x-4
what is the factor of 3x^{2} +9x-12=0[/tex]
Tell whether the angle is complimentary, supplementary or neither
a rectangular solid box measures 2.75 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth
Answer:
445.5 feet
Step-by-step explanation:
Our first step is to get them to like terms. The only different term is inches. 480 inches = 40 feet.
We find volume by multiplying length x width x height. So 2.75 x 4.05 x 40 = 445.5 feet.
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answer: need a picture of the traingle but if it's at a 90 degree angle on any sides then yes
Step-by-step explanation:
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? *
PLEASE HELP ME QUICKLY!!!!!
Find the equation of the line of best fit in slope-intercept form.
If sin θ = square root of three over two, which could not be the value of θ?
Need help ASAP PLEASE ITS DUE IN A HOUR HURRY ?!!!
Answer:
d = 8
Step-by-step explanation:
V=(π)(r)^2(h/3)
83.7=(π)(r)^2(5/3)
Solve for r
r = 3.9
d = (3.99)(2)
d = 7.98
d = 8
Which sequences are geometric? Check all that apply.
Step-by-step explanation:
A geometric sequence is when we multiply one number by a set rate to obtain the next number.
For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric
Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric
Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric
Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric
Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric
Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.
Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric
For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.
