The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones an ice cream shop sold on each of these days.

Temperature: 68 77 83 85 89 94 96 99
Number of cones: 403 447 457 465 489 503 543 576

about how many ice cream cones would you expect the shop to sell if the temperature one day is 106 degrees?

Final answer:

The expression 12/a + 2a - 8 is not a polynomial because it contains a variable in the denominator, thus violating the definition of polynomials that only allow non-negative integer exponents.

Explanation:

The expression 12/a + 2a - 8 is best described as an option (d), not a polynomial because it contains a term with a variable in the denominator (12/a). Polynomials are algebraic expressions that consist only of non-negative integer powers of the variable. In this case, the term 12/a has a variable 'a' in the denominator, which implies a negative exponent if it were to be written with only the variable in the numerator. This is why the expression does not fit the definition of a polynomial.

The ratio of boys to girls is 2:3, which means for every 2 boys there are 3 girls.

There are 8 boys.

Divide the number of boys by 2 ( their ratio):

8/2 = 4

Multiply that by the part of the ratio for girls:

4 x 3 = 12

There are 12 girls

Answer:

L is perpendicular to N

Step-by-step explanation:

M is perpendicular to N

L ll M

We can replace M with L since  they are parallel

L is perpendicular to N

Answer:

Option C

Step-by-step explanation:

It is given that M is perpendicular to N and L ║ M

Since M ║L

and N is perpendicular to line M So L will be perpendicular to N.

That means N will be perpendicular transverse of both the parallel lines M and L

Option C is the answer.

Answer:

D = 130

Step-by-step explanation:

We can use the formula

<Y = 1/2 (big arc XZ - little arc XZ)

50 = 1/2 ( 230- XZ)

Multiply by 2 on each side

100 = 230-XZ

Subtract 230 from each side

100-230 = 230-230 -XZ

-130 = -XZ

Multiply each side by -1

-1*-130 = -1 * -XZ

130 = XZ

Answer:

D. the measure of xz is 130 degrees

Step-by-step explanation:

The correct answer is 130 degrees

Answer:

35%

Step-by-step explanation:

So we can write that 14/40 of the group is allergic to peanuts. So 7/20 of the group are allergic or 35/100.

Answer:

B L is equal to P minus 2W all over 2

Step-by-step explanation:

P = 2L + 2W

We want to isolate L.

The first step is to subtract 2W from each side.

P-2W = 2L + 2W-2W

P-2W = 2L

Now divide each side by 2

(P-2W)/2 = 2L/2

(P-2W)/2 = L

Answer: 93

Step-by-step explanation:

NOTE: "won" means add, "spent" means subtract

Monday: + 75

Tuesday: Monday + 105   = 75 + 105   = 180

Wednesday: Tuesday + 127 - 250   =   180 + 127 - 250   = 57

Jared has 57 but needs 150

(75+105)+127= 307

307-250=57

jared has 57 tickets he wants to 150 ticket prize

57-150=93

Jared needs 93 tickets to get the prize

Answer:

The GCF of 35 and 39 is 1.

Step-by-step explanation:

Factors of 35: 1, 5 and 7

Factors of 39: 1, 3, 13

1 is the only factor that these numbers have in common.

Hope this helps!

Answer:

35 - 1, 5, 7

39 - 1, 3, 13

the greatest common factor will be 1

hope this helps

Step-by-step explanation:

Answer:

1.2 litres  more water should Josie drink.

Step-by-step explanation:

As given

It is recommended that an adult drink 64 fluid ounces of water everyday .

As given

1 ounce = 0.0296 litre .

Now convert 64 ounces into litre.

64 ounce = 64 × 0.0296

                = 1.9 litres (Approx)

As

1 litre = 1000 ml

[tex]1\ ml= \frac{1}{1000}\ litre[/tex]

Now convert 700 ml into litre.

[tex]700\ ml= \frac{700}{1000}\ litre[/tex]

[tex]700\ ml= \frac{7}{10}\ litre[/tex]

700 ml = 0 .7 litre

Thus

Recommended amount of water a adult should drink = Amount of water Josie already consumed + More water should Josie drink.

Putting the value

1.9 litres = 0 .7 litres +  More water should Josie drink.

More water should Josie drink = 1.9 - 0.7

More water should Josie drink = 1.2 litres .

Therefore 1.2 litres  more water should Josie drink.

Answer:

160 Sodas

80 Hot Dogs

Step-by-step explanation:

240=2x+x Given

240=3x Simplify

80=x Divide by 3

Now you would plug in the variable to solve

2(80) or 160 Sodas

(80) Hot Dogs

Answer:

Step-by-step explanation:

Given is a function

[tex]f(x) =(x-2)^2[/tex]

This function is a parabola with vertex at (2,0) and axis of symmetry is x=2

Hence for x<2 the curve would be reflection of x>2

To get inverse we must get one to one funciton only.

So restrict the domain of f(x) to [tex][2,∞)[/tex]

Then we have f(x) as one to one with domain x≥2 and range is R+

[tex]f^{-1} (x)=+\sqrt{x} +2[/tex]

For this inverse domain is R+ and range is [tex][2,∞)[/tex]

Answer:

restriction of domain is x>=2

[tex]f^{-1}=\sqrt{x}+2[/tex]

Step-by-step explanation:

Restrict the domain of the function  [tex]f(x)=(x-2)^2[/tex] so it has an inverse

To restrict the domain we find the vertex

VErtex form of the equation is

[tex]y=(x-h)^2+k[/tex] vertex is (h,k). restriction of domain is x>=h

[tex]f(x)=(x-2)^2+0[/tex] , vertex is (2,0)

So restriction of domain is x>=2

now we find inverse function

[tex]f(x)=(x-2)^2[/tex]

Replace f(x) with y

[tex]y=(x-2)^2[/tex]

Replace x with y and y with x

[tex]x=(y-2)^2[/tex]

To remove square we take square root on both sides

[tex]\sqrt{x} =y-2[/tex]

Add 2 on both sides

[tex]\sqrt{x}+2 =y[/tex]

[tex]f^{-1}=\sqrt{x}+2[/tex]

Answer:

Properties of isosceles triangle:

As per the given statement:

Congruent sides(a) = 3 feet And Vertex angle([tex]\angle QPR[/tex]) = [tex]35^{\circ}[/tex]

Let the length of the base(QR) of an isosceles triangle PQR be 2b.

By isosceles properties, in triangle PQR , the median of an isosceles triangle from its vertex angle is also the perpendicular bisector of the base.

Also, this  line divides the triangle into two congruent right angled triangles whose hypotenuse is 3 feet,

and  [tex]\angle QPS = \frac{\angle QPR}{2} = \frac{35}{2} = 17.5^{\circ}[/tex]

In a right angle triangle QSP

Using sine ratio formula;

[tex]\sin \theta = \frac{\text{opposite side}}{\text{Hypotenuse side}}[/tex]

Hypotenuse sides = PQ = 3 ft and Opposite side = QS = b ft

Solve for b using using sine ratio:

[tex]\sin (17.5^{\circ}) = \frac{b}{3}[/tex]

or

[tex]b = 3 \cdot \sin(17.5^{\circ})[/tex]

[tex]b = 3 \cdot 0.3007057995[/tex]

Simplify:

b = 0.902117398

Length of the base of an isosceles triangle PQR =  2b = 2(0.902117398) = 1.8042348

Therefore, the approximate length of the base of an isosceles triangle is, 1.8 feet

Answer:

 1.80 feet.

Step-by-step explanation:          

Please see the attachment.

Let c be the length of base of our given triangle.

We have been given that an isosceles triangle's congruent sides are 3 feet the vertex angle is 35 degrees. We are asked to find the length of the base of isosceles triangle.      

We will use law of cosine to find the length of our base.

[tex]c=\sqrt{a^2+b^2-2ab\text{ Cos(C)}}[/tex]

Upon substituting our given values in above formula we will get,

[tex]c=\sqrt{3^2+3^2-2\times 3\times 3\times\text{ Cos(35)}}[/tex]

[tex]c=\sqrt{9+9-18\times\text{ Cos(35)}}[/tex]

[tex]c=\sqrt{18-18\times 0.819152044289}[/tex]

[tex]c=\sqrt{18-14.744736797202}[/tex]

[tex]c=\sqrt{3.255263202798}[/tex]

[tex]c=1.8042347970255978\approx 1.80[/tex]

Therefore, the length of base of our given isosceles triangle is approximately 1.80 feet.

Answer:

kora is 13

Step-by-step explanation:

venla is 5 years older than kora

18-5=13

Answer: The Equation answer is V=k+5

how old is kora when venla is 18 years old? Is 13 years old

Step-by-step explanation:

Answer:

vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])

Step-by-step explanation:

given a quadratic in standard form : ax² + bx + c : a ≠ 0

the x- coordinate of the vertex can be found as

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - x + 2 is in standard form

with a = 1, b = - 1 and c = 2

[tex]x_{vertex}[/tex] = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

substitute this value into the function for the y-coordinate

y = ([tex]\frac{1}{2}[/tex])² - [tex]\frac{1}{2}[/tex] + 2 = [tex]\frac{7}{4}[/tex]

vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])

Answer:

im pretty sure its 1b 2a 3d 4c for the first row... if im reading it right. second row is 5c 6b 7a 8d i think. third row is 9b 10d 11a 12c. hope it helped :)

Step-by-step explanation:

i just plugged the functions into the y= in the calculator. i have the ti-84 plus ce calculator, but if you dont you can use one online

Answer:

[tex]R-5=2C[/tex]

Step-by-step explanation:

Let C be the number of apps that Cora have.

We are told that Rita stared the day with R apps. Then she deleted 5 apps. So Rita is left with R-5 apps.

We are also told that after deleting 5 apps Rita still had twice as many apps as Cora has. We can represents this information as:

[tex]R-5=2C[/tex]

Therefore, the equation [tex]R-5=2C[/tex] represents the number of apps each girl has.

Answer:

Rita :R = 2C+5

Cora: C = (R-5)/2

Step-by-step explanation:

Hi, to answer this question we have to write an equation.

Rita has R apps and deletes 5, it means we have to subtract 5 to R. (R-5)

After that she has twice as many apps as Cora has. So, the previous expression is equal to the number of apps that Cora has (C) multiplied by 2.  

The whole equation:  

2C = R-5

For each girl we have to solve for each variable:

Rita's apps:  

2C = R-5

2C+5 =R

R = 2C+5

Cora's apps:

2C = R-5

C = (R-5)/2

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

[tex]r=\sqrt{a^2+b^2}[/tex]

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

[tex]\sqrt{48^2+b^2}=50[/tex]

[tex]\Rightarrow 2304+b^2=50^2[/tex]

[tex]\Rightarrow b^2=2500-2304[/tex]

[tex]\Rightarrow b^2=196[/tex]

[tex]\Rightarrow b=\sqrt{196}[/tex]

[tex]\Rightarrow b=14[/tex]

Therefore, missing value b is 14

Answer: 14

Step-by-step explanation:

Edg 2021

Answer:

[tex]t(c)=\frac{t-10}{8}[/tex] determines the time you used the kayak for at a specific cost you paid.

Step-by-step explanation:

The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).

(x,y)--->(y,x) in the new function.

If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).

For the original function, we used the time we had the kayak to compute the cost. For 3 hours, it cost c(3)=8(3)+10=$34. (3,34) for (t,c).

For the inverse, we will find the time we had the kayak for a specific cost. To write it we switch input(x) and output(y) and solve for y.

y=8x+10

x=8y+10

x-10=8y

[tex]\frac{x-10}{8} =y[/tex]

This is the inverse function, We replace (x,y) with (c,t).

[tex]t(c)=\frac{t-10}{8}[/tex]

Answer:

BE =40

Step-by-step explanation:

Since this is a regular pentagon

BE = BD

3x+4 = 2x+16

Subtract 2x from each side

3x-2x +4 = 2x-2x+16

x+4 = 16

Subtract 4 from each side

x+4-4 = 16-4

x =12

We want to know the length of BE

BE = 3x+4

x=12 so we can substitute it in

      3(12) +4

       36+4

    40

BE =40

Answer:

d^3 - 12d^2 b + 48db^2 - 64b^3

Step-by-step explanation:

(d - 4b)^3

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

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

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

Explanation

The general term of the binomial expansion is

Combination

[n! / (n - k)! k! ]

This means for the second term that k = 2 and n = 3

So the expansion becomes

3!/(3 - 1)!*1!

3!/1! 2!

3

Descending powers

In the second term

k = 1 ; n = 3

d^(n - k)*(-4b)^k

d^(3-1 ) * (- 4b)^(1)

d^2 * (-4b)^1

- 4 d^2 * b

Of course you have to put this together with the three

- 12 d^2 * b^1 or - 12d^2b

I know this looks awful (and it really is) but if you want the 5th term of (a - 2b)^10, you would go crazy trying to do this by expanding the binomial 10 times. So practice every one of these. Eventually it becomes mechanical. Mr. Miagi (karate kid) would say "Teacher teach. Pupil do."

Answer:

d^3 - 12d^2 b + 48db^2 - 64b^3

(d - 4b)^3

First term: [3!/(3 - 0!)*0!] = 3!/(3!)*1 = 1

1*d^(3 - 0)*(4b)^0

1*d^(3)*(4b)^0

1*d^(3)=d^(3)

d^(3)*(4b)^0

d^3

Second Term 3!/(3 -1 )!*1! * d^(3-1)*(-4b)^1

Second term 3 * d^2*(-4b)

Second term - 12d^2 * b

Third term 3!/[(3 - 2)!2!] * d^(3 - 2) (-4b)^2

Third term 3*d*16 b^2

Third term 48 db^2

Last term 3!/[(3 - 3)!(3!) ] * d^(3 - 3) (- 4b)^(3)

Last term 1*d^0*(-64b^3)

Last term - 64b^3

Answer:

679959

Step-by-step explanation:

THE ANSWER IS 679959 BUT IF YOU ESTIMATE TO THE LAST DIGIT THE IT WOULD BE 700000 DUE TO 9 ROUNDING THE 7 TO A 8 AND THEN 8 EOUNDS THE 6 TO A 7 EVERYTHING ELSE BECOMES 0

To estimate 5,271 x 129, we round to the closest thousands and hundreds giving us 5,000 x 100, which equals 500,000. This is an estimation, the actual product of 5,271 and 129 is 679,859.

To estimate the product of 5,271 x 129, we can round each number to the nearest thousands and hundreds respectively. So, 5,271 can be rounded to 5,000 and 129 can be rounded to 100. Our estimation would then be 5,000 x 100 = 500,000.

Remember that this is an estimation. The actual product of 5,271 and 129 is 679,859, but for quick mental calculations or to get a sense of the size of the result, this type of estimation can be helpful.

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Carmen can buy 4 tubes of paint at $4.80 each after purchasing 2 paint brushes at $6.70 each from her $35 winnings.

Carmen won a prize of $35 in a contest. To answer how many tubes of her favorite paint brand she can buy, first, we need to deduct the cost of the two paint brushes she needs, which are $6.70 each. The total cost for two brushes is:

2 brushes x $6.70 per brush = $13.40

Subtracting this amount from her winnings:

$35.00 - $13.40 = $21.60 remaining

Now, we divide the remaining money by the cost of each tube of paint, which is $4.80, to find out how many tubes she can purchase:

$21.60 / $4.80 per tube = 4.5 tubes

Since Carmen cannot buy half a tube, she can buy 4 tubes of paint and will have some money remaining.

Answer:

the answer is 55

Step-by-step explanation:

all angles have to  equal up to 180.

55+30=85

85+40=125

180-125=55

Answer:

49

Step-by-step explanation:

If so  the inter quartile range = 58 - 9 = 49

Answer:

the answer would be 49 i hope this helps

Step-by-step explanation:

Answer:

3.60 pounds

Step-by-step explanation:

exchange rate of 1:.6 meaning .60 6 times,

2 is 1.20, 4 would be 2.40, meaning 6 is 3.60 pounds

Final answer:

To find the number of copies above which Company A's charges are higher than Company B's charges, set up an equation and solve for C. The number of copies above which Company A's charges are higher is 6000.

Explanation:

To find the number of copies above which Company A's charges are higher than Company B's charges, we need to set up an equation to represent the total charges for each company. Let C represent the number of copies. For Company A, the total charges can be represented as 360 + 0.12C. For Company B, the total charges can be represented as 720 + 0.06C. We can set these two expressions equal to each other and solve for C to find the number of copies above which Company A's charges are higher.

360 + 0.12C = 720 + 0.06C

0.06C - 0.12C = 720 - 360

-0.06C = 360

C = 360 / -0.06

C ≈ -6000

Since the number of copies cannot be negative, we can conclude that Company A's charges are higher than Company B's charges when the number of copies is greater than 6000.