If F(x) = log 5 2x, find F^-1(x). a. 5^y=2x b. 5^2y=x c. y = (5^x)/2
Answer:
y = [tex]\frac{5^{x} }{2}[/tex]
Step-by-step explanation:
y = log 5 2x
inverse ------> y=x
x = log 5 2y
[tex]5^{x} = 2y[/tex]
y = [tex]\frac{5^{x} }{2}[/tex]
Answer:
y = ([tex]5^{x}[/tex] )/2
Step-by-step explanation:
Hope This Helps!!
The M virus has a diameter of 5 x 10^-7meters, while the P virus measures about 2 x 10^-8meters in diameter. A) is the M virus or P virus larger in diameter? B) how many times as larger is the larger virus than the smaller virus?
Answer:
(A) The M virus is larger than the P virus in diameter
(B) Diameter of virus M is 25 times the diameter of virus P
Step-by-step explanation:
Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.
So we can write these values in decimal form for easier comparison of which one is he largest one:
Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]
Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]
Which clearly shows that virus M is larger than virus P in diameter
The quotient between diameters will give us the answer to how many times larger virus' M diameter is:
[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]
Please helpppp what is the solution to the system of equations
Answer:
The third one
Step-by-step explanation:
Lee did 4/5 of her homework in 5/6h. How long will it take to complete all her homework?
4/5 of the homework = 5/6 hr
1/4 of the homework = 5/6 ÷ 4
5/5 of the homework = 5/6 ÷ 4 × 5
5/6 ÷ 4 × 5 = 25/24 hrs which is 1 and 1/24 of an hr
answer: 1 and 1/24 of an hr
How do I do this?
Calculate the number of protons and the number of neutrons for each of the below
Answer:
to calculate the number of protons and neutrons, you can look at the element on the periodic table. the number of protons is equal to the atomic number of the element (for example, hydrogen is the first element on the periodic table, so it has 1 proton).
The number of neutrons is the mass number (listed on the periodic table as well) - the number of protons, aka the atomic number.
for example, for the element krypton, we take the mass number, 83.80, and round it up to 84. Then we subtract it's atomic number, 36, from it, to get 48, which is the number of neutrons in the atom
Sharyn needs yards of fabric to make a dress for herself and yards of the same fabric to make a matching dress for her daughter. If she buys yards of fabric, how much will she have left over?
A.
yards
B.
yards
C.
yards
D.
of a yard
Answer: The answer is C 5/8 yards
Step-by-step explanation:
Find the distance between two points (2,-3)and (2-,4). what is the answer?
Answer: 1 squealer apart if on a square grid
Step-by-step explanation:
Answer:
The distance is 1
Step-by-step explanation:
Since the x coordinates are the same, we only need to look at the y coordinates
-3 - -4
-3 +4
1
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 101/2 inches by 101/2 inches. Is he correct? Use the drop-down menus to explain your answer.
Answer:
He is wrong, because for 2 inches of height, the peice of wood for base has smaller width than the width required for the base Maurice wants to make.
Step-by-step explanation:
Length of wood = 18 inches
Width of wood = 12 inches
If height of the table is needed = 2 inches
2 inches are reduced from each side of the piece of wood.
The new measurement become:
Length of wood = 18 - 2 - 2 inches
Length of wood = 14 inches
Width of wood = 12 - 2 - 2
Width of wood = 8 inches
Maurice wants to make a table with following dimensions:
Base = [tex]10\frac{1}{2}\cdot10\frac{1}{2}[/tex]
which means
Length required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]
Width required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]
As width is greater than the width of the piece of wood , he cannot make a table of such dimension from it.
What is the rate of change in the table?
Answer:
3
Step-by-step explanation:
Answer:
1
From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1
If y = 2x - 3 , what is the value of x
when y = 1?
A-1
B 1
© - 2
D 2
Answer:
D. 2
Step-by-step explanation:
We know that y=2x-3. We want to find out what the value of x is when y=1. Therefore, we can substitute 1 in for y in the equation.
Equation: y=2x-3
Substitute 1 in for y: 1=2x-3
Now, solve for x.
1=2x-3
3 is being subtracted from 2x. The inverse of subtraction is addition. Add 2 to both sides.
1+3=2x-3+3
1+3=2x
4=2x
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.
4/2=2x/2
4/2=x
2=x
The correct answer is D. 2
Which of the following best describes a line? A. The set of all points in a plane at a given distance from a given point B. The set of all points in a plane that are equidistant from a given point and a given line C. The set of all points in a plane that are equidistant from three points D. The set of all points in a plane that are equidistant from two points
Answer: B. A line is the set of all points in a plane at a given distance from a given point.
Step-by-step explanation:
There is no step by step but hope it helps! :)
Each question on a multiple-choice exam has four choices. One of the choices is the correct answer, worth 5 points, another choice is wrong but still carries partial credit of 1 point, and the other two choices are worth 0 points.
If a student picks answers at random, what is the expected value of his or her score for a problem?
_____points
If the exam has 30 questions, what is his or her expected score?
_____points
Answer:
1.5
45
Step-by-step explanation:
The probability for each answer is 1/4
(5+1+0+0)/4 = 6/4= 1.5Each question has an expected value of 1.5 points.
The expected score of the test is 30*1.5= 45 points
ABC is reflected over the y-axis. What are the vertices of
A' B' C' ?
A (0-2), B'(-2,-4). C'(-5, -1)
A(-2,0), B(-4, 2), C (-1, 5)
A' (0.2). B (-2,4), C'(-5,1)
A'(0, 2). B' (2, 4). C'(5.1)
Answer:
The answer is the first option.
Step-by-step explanation:
When you flip it over the y axis. A would still be the same. ANd the first one matches A.
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the
heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth.
A. 465.10 cm³
B. 480.08 cm³
C. 489.40 cm³
D. 498.04 cm³
Answer:
c
Step-by-step explanation:
PLEASE HELPPPPP MEEEE!!
Answer:
1. 2^6 x 2^4= 2^10
2. 5^3 x 5^8= 5^11
3. c^7 x c^2= c^9
4. r^2 x r= r^3
Answer: 1. 1,024. 2. 148,828,125. 6. 1. 7. 1.
Step-by-step explanation:
1. 2 x 2 x 2 x 2 x 2 x 2 = 64.
2 x 2 x 2 x 2 = 16.
64 x 16
1,024.
2. 5 x 5 x 5 = 125.
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625.
125 x 390,625
48,828,125.
6. c x c x c x c x c x c x c = 1.
c x c = 1.
1 x 1
1.
7. r x r = 1.
r = 1.
r x r = 1.
can you please help me! In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment? a. Its length is equal to the 3 rd side. b. Its length is twice the 3 rd side. c. It is parallel to the 3 rd side. d. It is ⊥ to the 3 rd side.
Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side
Step-by-step explanation:
Answer: Its length is twice the 3rd side.
Can you please explian how this would be right I'm not understanding at all
Answer: 2 marbles
Step-by-step explanation:
Look at the scale. On the right there are 3 less squares. But there are more marbles! So, if you subtract three marbles (the ones that would make it equal to the left) and divide the marbles by 3 squares, you get 2!
PLEASE MARK BRAINLIEST
Answer:each box should weigh as much as 2 marbles
Step-by-step explanation:
On the first side of the scale theres a 5 next to the box and im assuming that means that there are 5 boxes on the first side of the scale. 5 boxes that each weigh 2 marbles + the 3 marbles that are already there = 13 marbles total
On the second side of the scale there are 9 marbles and 2 boxes. 2 boxes that each weigh 2 marbles + 9 marbles that are already there = 13 marbles total
So the scale will be balanced because there is 13 on each side
-5 5/8 + 3 1/2
A: -3 1/8 B: -2 1/2 C: -2 1/8 D: -7/8
ASAP
Answer:
C
Step-by-step explanation:
You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.
A bowl contains 5 red balls and 5 white balls. Dorothy selects balls at random without looking at them. How many balls must she select to be sure she has at least two red balls?
Answer:
7
Step-by-step explanation:
To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.
The number of balls that Dorothy must select to be sure she has at least two red balls is 6.
How many balls must she select to be sure she has at least two red balls?To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.
Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.
In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.
Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.
Read more about probability here: https://brainly.com/question/25870256
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Four statistics professors and six chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Step-by-step explanation:
Total professors = 10
Probability of chemistry professors = 2/6 = 1/3
Help would be much appreciated
Answer:
Given
Step-by-step explanation:
Question 1)
Answer is c) 12.94 units
Because,
The sides will be √20,√20 and 4 units, so you add them
You get √20 through Pythagorean theorem √(2^2 + 4^2)
= 4.47
Question 2)
Answer:
3x^2 + 4y^0 +x^-1
Substitute the values,
3*(4)^2 + 4*(5)^0 + (4)^-1
3*16 + 4*1 * 1/4
( Any number raised to 0 is 1
4^-1 = 1/4^1 )
= 49
Answer:
Option C
49
Step-by-step explanation:
sides of triangle:
4√2²+4²=√20=4.47√2²+4²=√20=4.47P=4+4.47*2=12.94
Option C is correct
================
x=4, y=5
3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49
A line has a slope of 2 and passes through the point (-2,8). What is the equation of the line?
Answer:
y-8=2(x+2)
Step-by-step explanation:
Equation of a line is easy once you get the hang of it. State with the point slope form y-y2=m(x-x2) Simply plug in the points given to get the equation.
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5?
Enter your answer, in simplest fraction form, in the box.
Answer:
[tex]P(E_1 or E_2) = \frac{7}{12}[/tex]
Step-by-step explanation:
Given
Two cubes of side 1 - 6
Required
Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5
First, the sample space needs to be listed;
Let [tex]C_r[/tex] represent the Red cube
[tex]C_b[/tex] represent the Blue cube
S represent the sample space
[tex]C_r = (1,2,3,4,5,6)\\C_b = (1,2,3,4,5,6)\\S = (2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12)[/tex]S is gotten by getting the sum of [tex]C_r[/tex] and [tex]C_b[/tex]
[tex]n(S) = 36[/tex]
Calculating the Probability
Let [tex]E_1[/tex] represent the event that an outcome is an odd sum
[tex]E_1 = (3,5,7,3,5,7,5,7,9,5,7,9,7,9,11,7,9,11)[/tex]
[tex]n(E_1) = 18[/tex]
[tex]P(E_1) = \frac{n(E_1)}{n(S)}[/tex]
[tex]P(E_1) = \frac{18}{36}[/tex]
Let [tex]E_2[/tex] represent the event that an outcome is a multiple of 5
[tex]E_2 = (5,5,5,5,10,10,10)[/tex]
[tex]n(E_2) = 7[/tex]
[tex]P(E_2) = \frac{n(E_2)}{n(S)}[/tex]
[tex]P(E_2) = \frac{7}{36}[/tex]
Let [tex]E_3[/tex] represent the event that an outcome is an odd sum and a multiple of 5
[tex]E_3 = E_1 and E_2[/tex]
[tex]E_3 = (5,5,5,5)[/tex]
[tex]n(E_3) = 4[/tex]
[tex]P(E_3) = \frac{n(E_3)}{n(S)}[/tex]
[tex]P(E_3) = \frac{4}{36}[/tex]
Calculating [tex]P(E_1 or E_2)[/tex]
[tex]P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_1 and E_2)[/tex]
[tex]P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_3)[/tex]
[tex]P(E_1 or E_2) = \frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]
[tex]P(E_1 or E_2) = \frac{18 + 7 - 4}{36}[/tex]
[tex]P(E_1 or E_2) = \frac{21}{36}[/tex]
[tex]P(E_1 or E_2) = \frac{7}{12}[/tex]
Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is [tex]\frac{7}{12}[/tex]
Answer:
P=(E1 or E2) 7/12
Step-by-step explanation:
What is the volume of the cone to the nearest tenth? A) 401.2 yd3 B) 421.4 yd3 C) 484.3 yd3 D) 536.2 yd3
Answer:
Option (D). 536.2 yd³
Step-by-step explanation:
Radius of the circular base of the cone = 8 yd
Height of the given cone = 8 yd
Formula for the volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base of the cone
h = height of the cone
By substituting the values of r and h in the formula,
V = [tex]\frac{1}{3}\pi (8)^2\times (8)[/tex]
= [tex]\frac{1}{3}(512\pi )[/tex]
= 526.165
≈ 526.2 yd³
Therefore, volume of the given cone is 526.2 yd³.
Option (D) will be the answer.
Answer:
D
Step-by-step explanation:
It is 3:00pm here, and Australia is 13 hours ahead of us. What time is it in Australia?
2:00 am
3:00 pm
4:00 am
5:00 am
Answer:
4 am
Step-by-step explanation:
Answer:
4:00 AM
Step-by-step explanation:
15:00 + 13:00
28:00
24:00+4:00
00:00+4:00
4:00 AM
Given that triangle PQR congruent triangle STU, , what is the measure of angle U ?
Answer: B or 52 degrees...
Step-by-step explanation:
Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.
In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.
The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.
Find the volume round to the nearest tenth
Answer:
Step-by-step explanation:
Volume of a sphere:
V = 4/3 x pi x r^3
5. 3053.63mm^3
18 / 2 = 9mm = radius
4/3 x pi x 9^3 = 3053.628
8. 11494.04mm^3
28 / 2 = 14mm
4/3 x pi x 14^3 = 11494.040
helppppppppp me please :(
Answer:
12.57cm
Step-by-step explanation:
circumference =2^r
=2×22/7×2
=12.57cm
PLZ HELP!!!!!!!!!!!!!!!!!!
The figure shows the letter Z and four of its transformed images—A, B, C, and D:
A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
Which of the four images was formed by a reflection of the letter Z?
A
B
C
D
heres the pic
Answer:
Step-by-step explanation:
The answer is C
Answer:trust me its c
Step-by-step explanation:
I took the test and aced it
The multiplicative inverse of (-4)⁻² is (4)⁻². True False
Answer: false
Step-by-step explanation:
The exponents would have to have a different sign from each other (positive or negative), not the integer.