A baker has 15 cups of flour. He sets aside 4 cups of flour to use tomorrow, and uses the rest of the flour for a cookie recipe that calls for 1/2 cup of flour. How many batches of cookies can the baker make

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Common difference

Equation

Option B

Answer:

[tex]\begin{cases} \sf a_1=-6 \\ \sf a_n=a_{n-1}+4 \end{cases}[/tex]

Step-by-step explanation:

Given:

From inspection of the given terms, it is evident that there is a common difference between consecutive terms.  Therefore, this is an arithmetic sequence.

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

From inspection of the sequence, we can see that each term is found by adding 4 to the previous term.  Therefore, the recursive formula is:

[tex]\sf a_n=a_{n-1}+4[/tex]

A recursive rule comprises the recursive formula together with the 1st term a₁.  To find the 1st term, keep subtracting 4 from each term:

[tex]\begin{aligned} \sf a_3 & = \sf a_4 - 4\\ & = \sf 6 - 4\\ & = \sf 2\end{aligned}[/tex]

[tex]\begin{aligned} \sf a_2 & = \sf a_3 - 4\\ & = \sf 2-4 \\ & = \sf -2\end{aligned}[/tex]

[tex]\begin{aligned} \sf a_1 & = \sf a_2 - 4\\ & = \sf -2-4 \\ & = \sf -6\end{aligned}[/tex]

Therefore, the recursive rule that can be used to find the nth term of the sequence is:

[tex]\begin{cases} \sf a_1=-6 \\ \sf a_n=a_{n-1}+4 \end{cases}[/tex]

Learn more about arithmetic sequences here:

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Answer:

its 1/2

Step-by-step explanation:

because 3and3 because only 3 and 3 and 12 become 6and3 so 3/6 is 1/2

Answer:

H = 42

Step-by-step explanation:

18 ÷ 108 = [tex]\frac{1}{6}[/tex]

7 ÷ [tex]\frac{1}{6}[/tex] = 42

You can check to make sure your answer is right by entering your proportions into a calculator. For example, [tex]\frac{42}{108}=0.38888888888...[/tex] and [tex]\frac{7}{18}[/tex] also equals [tex]0.38888888888...[/tex] so since they match, we know it is correct.

Make sure you know how to do your proportions without Brainly, that way you don't flunk your next quiz/test!

Answer:

yes: each input has only one output

Answer:

0.001

Step-by-step explanation:

Ericsson is claimed to increase the likelihood of a baby girl ;

Given the alternative hypothesis to buttress this claim :

HA : p>0.5

In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.

To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.

Recall ;

Pvalue < α ; We reject the Null

Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.

Answer:

12c square meters

Step-by-step explanation:

We know that

Area of a rectangle = length (L)× width(w)

Here it is given that length ,and width of the rectangle is 6c meters and 2 meters respectively.

Therefore, required area of the rectangle = 6c × 2 = 12c square meters.

Answer:

trueeee

Step-by-step explanation:

B)

Answer:

finish the sentence

Step-by-step explanation:

===========================================================

Explanation:

We're told that 1 square foot is 144 square inches (this is from 12*12 = 144, since 12 inches = 1 ft).

So because of this, 360 square feet converts to 360*144 = 51,840 square inches.

One gallon of paint can cover 51,840 square inches.

Now let's find the surface area of the sphere, aka ball.

It has a radius of r = 4.75 inches, so,

SA = 4*pi*r^2

SA = 4*pi*(4.75)^2

SA = 90.25pi

SA = 283.528736986479 which is approximate

The surface area of one ball is roughly 283.528736986479 square inches.

Divide the amount of area the paint can cover over the surface area of one basketball:

(51,840)/(283.528736986479) = 182.838609415709

This rounds down to 182. We round down because we won't have enough paint to cover the 183rd basketball.

One gallon of paint can cover 182 basketballs.

Answer:

Step-by-step explanation:

a. The vertex is (1, -9).  False.  The vertex is (-1, -9).

b. The graph opens upward.  True.  That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.  False.  It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2.  True.  The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form.  Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9.  YES, TRUE

Answer:

the coefficients are 1,4,6,4,1.

Step-by-step explanation:

I hope this helps

Answer:

x=2

Step-by-step explanation:

Answer: 160 children and 174 adults

Step-by-step explanation:

Let x represent the children and y represent the adults.

Create two equations:

x+y=334

1.50x+2y=588

Subtract 1.50x from the equation, then divide by 2:

y=294 - 0.75x

Plug it into the first equation then solve.

x+294-0.75x=334

x=160

Subtract 160 from 334 to get y:

y=174

Answer: So i did the math and the surface area is 756cm² and the volume is 4080cm³ (the math is simple its just a lot. So if I´m wrong then i am truly sorry) Good Luck!

Step-by-step explanation:

Answer:

the slope would be -5 and the equation would be y = -5x+14

Step-by-step explanation:

I drew it out and did rise/run

Equivalent fractions are fractions that represent the same value or amount, despite having different numerators and denominators.

In other words, equivalent fractions have the same ratio or proportion, but may be written in different forms.

For example, the fractions 1/2 and 2/4 are equivalent fractions because they represent the same amount, which is half of a whole.

Also, 3/5 and 6/10 are equivalent fractions because they both represent three-fifths or 60% of a whole.

Learn more about equivalent fractions at brainly.com/question/24638688

#SPJ1

Answer:

x² - 3x + 0.25 = 0

Step-by-step explanation:

Given a root x = a then the corresponding factor is (x - a)

Given roots x = 1.5 + [tex]\sqrt{2}[/tex] and x = 1.5 - [tex]\sqrt{2}[/tex] then the factors are

(x - (1.5 + [tex]\sqrt{2}[/tex] ) ) and (x - (1.5 - [tex]\sqrt{2}[/tex] ) ) , that is

(x - 1.5 - [tex]\sqrt{2}[/tex] ) and (x - 1.5 + [tex]\sqrt{2}[/tex] )

The equation is then the product of the factors

(x - 1.5 - [tex]\sqrt{2}[/tex] )(x - 1.5 + [tex]\sqrt{2}[/tex] ) = 0 ← expand factors using FOIL

(x - 1.5)² - ([tex]\sqrt{2}[/tex] )² = 0

x² - 3x + 2.25 - 2 = 0

x² - 3x + 0.25 = 0

Answer:

180000

Step-by-step explanation:

Solve

Given: Both Raised $240,000, Blin raised $60,000 more than Alex

To find: How much money Blin raised

Firstly, since two people raised that amount, divide the amount by 2 of them

240,000 ÷ 2 = 120,000

Nextly, subtract 60,000 from Alex's share; because Brin has more so Alex has less, less means subtract.

120,000 - 60,000 = 60,000

Now, Add that amount to Brin's share; again, Brin has more so Alex has less, less means subtract.

60000 + 120,000 = 180,000

Therefore, Brin raised $180,000

Confirm: 180,000 + 60,000 = 240,000

(For your information, Alex has $60,000)

Answer:

a. 13 , b. = 4 , c. 2.2

Step-by-step explanation:

Given : a xx b = ab + b - a

So, no.1 xx no.2 = Product no.1 x no.2 + no.1 - no.2

As evident 3 xx 7 = (3 x 7) + 3 - 7 → 3 xx 7 = 21 + 3 - 7 = 17

Hence, 5 xx 2 = (5 x 2) + 5 - 2 → 5 xx 2 = 10 + 5 - 2 = 13

3 xx 1/2 = 3 (1/2) + 3 - 1/2 = 1.5 + 3 - 0.5 = 4

x xx 5 = 8

x xx 5 = 5x + x - 5

6x - 5 = 8

6x = 13

x = 2.16 ≈ 2.2

Answer:

E

Step-by-step explanation:

2^2 = 4

√(4^2 + √5 ^2) = √21

Answer:

The missing numbers are 12 and 39 respectively

Step-by-step explanation:

From the table, we can see that the ratio of the left column to the right is 3/5

So at any point in time, the values on a particular row of the table must conform

to this ratio

In other light, we have to multiply what we have on the left by 5/3 to get what’s on the right

and we have to multiply what we have on the right by 3/5 to get what’s on the left

We have this as follows;

20 * 3/5 = 12

and;

65 * 3/5 = 39

Answer:

(1) article 6 : coffee may show slow decline in women.

(2) Description:

study by ishani gungali.

Mon august 6 ,4:56 PM ET

Washington ( Reuters): consumption of more than 3 cups coffee protect older women against some

age related memory decline. although it does not effects men's the same way.

(3) I womens those who have 3 or more cups of coffee than those of having 1 or fewer cups of coffee has lower odds of 33% of memory loss and 18 % visual and spatial decline. Also women it is seen that 80 repeaing women's are more benefits in comparison of who were 10 to 15 year younger.

(4) Karen Ritchie at the French National institute of Medical Research whose work appears in the journal neurology.

(5) Reading the above article I came to acknowledge that the women's only benefiting has to do something the way it metabolizes in them unlike in men's.

(6) lifestyle choices may protect one with mild form of age related memory loss from future decline. Essentially what is healthy for body is healthy for brain.

Answer:

Find the "zeros" and plug in points

Step-by-step explanation:

You can tell this graph is a parabola.

We can find the "zeros" of the graph to help us.

Find the zeros:

2x-1=0

2x=1

x=0.5

2x-5=0

2x=5

x=2.5

We can substitute values into f(x)=(2x-1)(2x-5) to graph.

You should get (1.5,-4) to be the vertex.

Hope this helps

Answer: B) reflection over the y-axis

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as there are no options to select from.

However, a general explanation is as follows.

Given

[tex]2\ cups = 1\ pint[/tex]

Required

Is [tex]c = 2p[/tex] a correct expression?

Let

[tex]c = cups[/tex]

[tex]p = pint[/tex]

So:

[tex]2\ cups = 1\ pint[/tex]

becomes

[tex]2 * c = 1 * p[/tex]

[tex]2c = p[/tex]

Divide both sides by 2

[tex]c =\frac{1}{2}p[/tex]

Hence:

[tex]c = 2p[/tex] is incorrect

Answer:

x = 50/7, or x = 7 1/7

Step-by-step explanation:

Create and solve an equation of ratios, as follows:

5      x

--- = ----

7     10

Cross-multiplying, we get:  7x = 50, or x = 50/7, or x = 7 1/7