8 A sponge is found to be growing bacteria. The number of the bacteria cells on the sponge triples every week. There are currently 26 cells. Write an expression that shows the number of cells in six weeks. How many bacteria cells are on the sponge after six weeks?​

Answer:

The probability of choosing a red marble is 35%.

Step-by-step explanation:

Total marbles: 17

[tex]\frac{6}{17} = 0.35[/tex]

Answer:

x = 59

Step-by-step explanation:

[tex]\sqrt[3]{2x+7}[/tex] = 5 ( raise both sides to the power of 3 )

([tex]\sqrt[3]{2x+7}[/tex] )³ = 5³

2x + 7 = 125 ( subtract 7 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Answer:

c. 13 23/45

d. -9/5

Step-by-step explanation:

explanation for c:

(5+8)+(1/9 +2/9) and then add the numbers so it will be

13+23/45 ----> 13 23/45

--------------------------------------------------------------------------------------------------

explanation for d:

convert decimal into fraction------> -6/5-3/5

calculate the difference -------> -9/5 and now you got your answer!!

Answer:

[tex]tan(A) = \frac{4}{3}[/tex]

Step-by-step explanation:

Here we see tan(B) has opposite side of 12 and adjacent of 9

using the formula:

[tex]tan(A) = \frac{opposite }{adjacent}[/tex]

[tex]tan(A) = \frac{12}{9}[/tex]

[tex]tan(A) = \frac{4}{3}[/tex]

Answer:

[tex]\textsf{tan(A)}=\frac{4}{3}[/tex]

Step-by-step explanation:

The trig ratio for tan is:  [tex]\textsf{tan}(x)=\mathsf{\frac{O}{A}}[/tex] where

For angle A:

O = 12

A = 9

[tex]\implies \textsf{tan(A)}=\frac{12}{9}\\\\\implies \textsf{tan(A)}=\frac{4}{3}[/tex]

Answer:

78

Step-by-step explanation:

is there more to this problem?

13. 00* 6 = 78

[tex] \rightarrow \: \sf \dfrac{10}{100} \times 1500[/tex]

[tex] \\ \\ [/tex]

[tex] \rightarrow \: \sf 10 \times 15[/tex]

[tex] \\ \\ [/tex]

[tex] \rightarrow \: \sf 150[/tex]

Answer:

Domain :( 6,4,3,-1 ) = x values

Range :( 1,-3,2 ) = y values

Answer:

(6,4,3,-1) is the domain

And (1,-3,2,-3) is the range

Step-by-step explanation:

Always remember that first component is the domain and the last component is the range

Check the picture below.

so let's simply get the area of each of the triangular faces and the base and sum them all up.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2\left[ \cfrac{1}{2}(100)(40) \right]}~~ + ~~\stackrel{\textit{left and right}}{2\left[ \cfrac{1}{2}(50)(40) \right]}~~ + ~~\stackrel{base}{(100\cdot 50)}} \\\\\\ 4000~~ + ~~2000~~ + ~~5000\implies 11000~m^2[/tex]

The values of a, b, h, and k, given the equation below;

[tex]\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1[/tex]

Given

An ellipse has vertices along the major axis at (0, 8) and (0, –2).

The foci of the ellipse are located at (0, 7) and (0, –1).

It can be seen that the major axis is parallel to the y axis.

The major axis points are;

(h, k +a) = (0, 8)

(h, k -a) = (0, -2)

Here, k + a = 8

k - a = -2

Subtracting the equations;

k + a - k + a = 8 + 2

2a = 10

a = 10/2 = 5

The foci are;

(h, k +c) = (0, 7)

(h, k -c) = (0, -1)

Here, k + c = 7

k - c = -1

Subtracting the equations;

k + c -k + c = 7+ 1

2c = 8

c = 8/2 = 4

The foci are given by;

[tex]\rm c^2=a^2-b^2\\\\b=\sqrt{a^2-c^2} \\\\b = \sqrt{5^2-4^2}\\\\b = \sqrt{25-16} \\\\ b =\sqrt{9}\\\\ b=3[/tex]

The equation is;

[tex]\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1[/tex]

To know more about ellipse click the link given below.

https://brainly.com/question/10153896

Answer:

x= 1

Step-by-step explanation:

The value of y = -5x

Plug it in the equation of y + 4x = -1

So it becomes, -5x + 4x = -1

Combine like terms which are -5x and 4x which equals to -x

Eliminate the negative sign because x cannot be negative. Apply that to -1. It becomes 1.

Hope you find this helpful!

Answer:

Step-by-step explanation:

Equation 1: y = -5x

Equation 2: y + 4x = -1

Step 1. Substitute y in equation 2 using equation 1

You would get, -5x + 4x = -1

Step 2. Combine like terms

-x = -1

Step 3. Cross out the negatives

x = 1

Step 4. Substitute x in Equation 1 to get y

y = -5(1)

y = -5

Hope this helps :)

Have a great day!

Answer:

True

Step-by-step explanation:

We know that [tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex], [tex]sin\theta<0[/tex] in Quadrant III, and [tex]cos\theta<0[/tex] in Quadrant III. Thus, x is indeed negative since [tex]cos\theta<0[/tex].

Step-by-step explanation:

x+3x+90=360

4x=360-90

x=270/4

x=67.5

Answer:

x=67.5°

Step-by-step explanation:

x + 3x= 270°

(x + 3x) → 4x

4x=270

4x/4=270/4

x=67.5°

Hope it helps! :)

Answer:

22/3=8/3=2.66

if 12 servings =2.6 cup of flour

...18 servings=???????

18×2.6/12=3.9

the answer is 3.9

Answer:

3,000 words

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just did the test

Answer:

18 buttons

Step-by-step explanation:

2 buttons per shirt times the number of shirts (9) gives an answer of 18

Answer:

  a. length: 20-2x; width: 12-2x; height: x

  b. V = 4x^3 -64x^2 +240x

  c. cubic trinomial

  d. 262.7 cubic inches maximum for a 2.4 inch square

  e. 15 × 7 × 2.5 inches for 262.5 in³ volume

Step-by-step explanation:

If the square cut from each corner has side length x, the dimensions are ...

__

The volume is the product of length, width, and height.

  V = LWH

  V = (20 -2x)(12-2x)(x) = 4(x-10)(x-6)x = 4(x^2 -16x +60)x

  V = 4x^3 -64x^2 +240x

__

The volume function is a cubic trinomial.

__

The maximum volume will be found where the derivative of the volume function is zero.

  V' = 12x^2 -128x +240 = 0

  x^2 -32/3x +20 = 0 . . . . divide by 12

  (x -16/3)^2 = 76/9 . . . . . complete the square

  x = (16 -√76)/3 ≈ 2.4 . . . . size of the square

  V = 4(2.4)(10 -2.4)(6 -2.4) ≈ 262.7 . . . cubic inches

The maximum box volume is about 262.7 cubic inches when the square is about 2.4 inches on each side.

__

A graphing calculator shows there to be two solutions for a volume of 262.5 cubic inches. The rational solution is x = 2.5 inches. The box dimensions would be ...

Answer:

4/18 and 15/18

Step-by-step explanation:

trust me bro

Answer:4/18 and 15/18

Step-by-step explanation:trust the progres kk

Answer:

Step-by-step explanation:

The total amount is $2.41.

If the are 23 pennies, then the amount excluding the pennies is:

This amount comprises quarters, nickels and dimes.

Each of them is multiple of 5:

Any amount made by the combinations of these has to be multiple of 5 cents. But the sum is $2.18, which is not multiple of 5 cents.

It means Henry can't make it.

Answer: D

Step-by-step explanation:

If you look at the quadratic formula, we see that b=5, a=5, and c=3.

So ax^2 + bx + c = 0 -> 5x^2 + 5x + 3 = 0

Answer:

80%

Step-by-step explanation:

Based on the given conditions: (18 - 10)÷10

Calculate the sum or difference: 8/10

Cross out the common factor: 4/5

Convert to percentage: 80%

Answer: 80%

Answer:

80%

Step-by-step explanation:

Based on the given conditions, formulate: (18-10) ÷ 10

Calculate the sum or difference: 8/10

Cross out the common factor: 4/5

Convert to percentage: 80%

Answer: 80%

Hope this helps

Answer:

c

Step-by-step explanation:

t(a+2)= 3+a+2/a+2-3= 5+a/a-1

Answer:

  S" = (-3/2, 9/2) = (-1.5, 4.5)

Step-by-step explanation:

The two dilation factors multiply each other, so the dilation of the final image relative to the initial figure is (3/2)(1/2) = 3/4.

  S" = 3/4S = 3/4(-2, 6)

  S" = (-3/2, 9/2) = (-1.5, 4.5)

The coordinates of point S"  are (-3/2, 9/2) = (-1.5, 4.5)

This involves the use of one or more numbers to uniquely determine the position of the points or other geometric elements.

We have to multiply the dilation factors which will result in:

(3/2)(1/2) = 3/4.

S" = 3/4S = 3/4(-2, 6)

S" = (-3/2, 9/2) = (-1.5, 4.5)

Read more about Coordinates here https://brainly.com/question/17206319

Not sure for (b)

Step-by-step explanation:

(a)55+80+x=180 (angles inside the triangle)

135+×=+180

x=180-135

x=45

Answer:

The value of R is -0.5212

This is a moderate negative correlation, which means there is a tendency for high X variable scores to go with low Y variable scores (and vice versa).

Step-by-step explanation:

Answer:

6 hours.

Step-by-step explanation:

since that is true we can use trial and error. if every km took an hour it would take six hours up and 4 hours down but they said they were twice as fast going down so that means it would take 2 hours going down. 6 add 2 is 8 which is our total meaning that 6 hours is the right answer

The different groups of 5 can be formed from the 10 volunteers is,

⇒ 252

Permutation and Combination form the principles of counting and they are applied in various situations.

A permutation is a count of the different arrangements which can be made from the given set of things. In permutation the details matter, as the order or sequence is important.

Here given that,

A blood bank needs 5 people to help with a blood drive. 10 people have volunteered.

Here, We get;

The different groups of 5 can be formed from the 10 volunteers is,

⇒ ¹⁰C₅

⇒ 10! /5! 5!

⇒ 10×9×8×7×6 / 5×4×3×2

⇒ 252

Thus, The different groups of 5 can be formed from the 10 volunteers is,

⇒ 252

To know more about the permutation and combination

brainly.com/question/13715183

#SPJ2

Answer:

The equations which represents the situation are

1) 2Y+X=5

2) 5X-Y=3

Step-by-step explanation:

~Cornasha_Weeb