The average weight of 7 potted plants is 23 pounds. An 8th potted plant is added to the pallet,

and the average weight increases to 25 pounds. What was the weight, in pounds, of the 8th

plant?

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!!

Answer:

area 4.5

Step-by-step explanation:

C has the largest Area. It's area is 4.5

hope this helps

Answer:

C has the largest area.

Step-by-step explanation:

3x3=9, 9/2=4.5

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.

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

#SPJ2

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! :)

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:

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:

Answer:

12.57cm

Step-by-step explanation:

circumference =2^r

=2×22/7×2

=12.57cm

Answer:

1.5

45

Step-by-step explanation:

The probability for each answer is 1/4

Each question has an expected value of 1.5 points.

The expected score of the test is 30*1.5= 45 points

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.

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

Answer:

382.5 square inches

Step-by-step explanation:

The surface area of a 3D object is the sum of the area of all of the surfaces. Therefore, the surface area of this prism is:

[tex]9\cdot 13.5 + 2(\dfrac{1}{2} \cdot 10\cdot 9)+ 9\cdot 9 + 10\cdot 9= 382.5[/tex] square inches.

Hope this helps!

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22

Answer:

Quotient = (1 + b)/2b

Step-by-step explanation:

The term quotient implies the result after dividing a number or expression by another number or expression.

In other words,

Quotient = Dividend/Divisor

From the question, we understand that

Dividend = Number that is 1 greater than a number b

So,

Dividend = 1 + b

And

Divisor = Number that is twice as large as b...

So, Divisor = 2 * b

Divisor = 2b

Recall that:

Quotient = Dividend / Divisor

Quotient = (1 + b)/2b

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

Answer:

The functions are not inverses because for each  ordered pair (x, y) for one function, there is no  corresponding ordered pair (y, x) for the other function.  

Step-by-step explanation:

In the figure attached, the tables are shown.

For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.

Answer:

The answer is D

Step-by-step explanation:

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.

Answer: The answer is C 5/8 yards

Step-by-step explanation:

Answer:

(9,-5)

Step-by-step explanation:

Find the middle of each of the x and y coordinates. Then put that together.

Answer:

The correct answer is

(9, -5)

Find the middle of each of the x and y coordinates. Then you can plug in each x/y into a coordinate. This will get you the midpoint.

Hope I could help

- Quinn :)

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]

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

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

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.

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.

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:

P=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

Answer:

three functions are

f(x) = 3(x + 4)^2 + 1

g(x) = 2x^2 - 16x + 15

h(x) = a(x - 1) - 3

Axis of symmetry for f(x) is x=-4 For g(x)

by taking the derivative

g'(x) = 4x - 16

= 4(x - 4)

The Axis of symmetry for g(x) is x=4

The Axis of symmetry for h(x) is x=1

hope it helps

Answer:

-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.

Step-by-step explanation:

0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.

Answer:

- 22

Step-by-step explanation:

To find the y- intercept let x = 0 , that is

y = 0² + 10(0) - 22 = 0 + 0 - 22 = - 22 ← y- intercept

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

Answer: A. (-2,1)

Step-by-step explanation:

Just took the test! Hope this helps!

Answer:

It's A

Step-by-step explanation:

Step-by-step explanation:

Total professors = 10

Probability of chemistry professors = 2/6 = 1/3