make a table of values for the function rule. then graph the function. y=-x²+4​

It would be $3.5 per pound for the coffee and $4 per pound for tea.

Final answer:

The cost per pound of coffee is found to be $3.50 by setting up two equations from the given information and solving for the price of coffee.

Explanation:

To find out the price per pound of coffee, we need to set up two equations based on the given information and solve them using the method of substitution or elimination. Let's assume C is the cost per pound of coffee and T is the cost per pound of tea.

The first situation gives us the equation:

2C + 3T = $19.00

The second situation gives us the equation:

5C + 6T = $41.50

We can multiply the first equation by two, which gives:

4C + 6T = $38.00

By subtracting this equation from the second equation, we get:

(5C + 6T) - (4C + 6T) = $41.50 - $38.00

This leaves us with:

C = $3.50

Therefore, the cost of coffee per pound is $3.50.

I think that the answer is B.

Answer:

if u asked maybe a little nicer. UMM NO

Step-by-step explanation:

It completely depends on the teacher, but typically exams seem to be worth at least 50% of your final grade.

I depends on what school you go to and how many subjects you have to study. It also depends on the type of teacher you have. But generally I would say exams are worth over 50% of your final grade.

Hope this helps!

ANSWER

[tex]P( \bar E) =\frac{14}{15} [/tex]

EXPLANATION

The sample space is S={1,23,4,5,...60}

n(S)=60

The multiples of 13 are:

E={13,26,39,52}

n(E)=4

Probability of choosing a picture that is a multiple of 13 is

[tex]P(E)= \frac{n(E)}{n(S)} [/tex]

[tex]P(E)= \frac{4}{60} [/tex]

Probability of choosing a picture that is NOT a multiple of 13 is

[tex]P( \bar E)= 1 - \frac{4}{60} = \frac{56}{60} = \frac{14}{15} [/tex]

Answer:

18

Step-by-step explanation:

write ham, turky and roast beef and draw 2 arrows from each one, the first one say soup and the second one say salad. Then from each of those draw 3 lines;one saying tea, one saying lemonade and one saying soda. Finaly label every drink by number. So you will have 18 numbers so there is 18 choises.

Answer:

15, 94

Step-by-step explanation:

Answer:

choice c is believe is the answer

Step-by-step explanation:

Applying the Pythagorean theorem, the distance between kensington and greenwich is: b. 20√5 mi.

To solve a right triangle, where a and b are the legs and c is the longest side (hypotenuse), the Pythagorean theorem states that, c = √(a² + b²).

Apply the Pythagorean theorem to find the distance:

Distance between kensington and greenwich = √(40² + 20²)

= √(1,600 + 400)

= √2,000

= 20√5 mi.

Learn more about the Pythagorean Theorem on:

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if its diameter is 30, then its radius is half that, or 15.

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=15 \end{cases}\implies A=\pi 15^2\implies A=225\pi \implies A\approx 706.86[/tex]

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

The diameter of the circular swimming pool is 30 feet.

To find out the square feet of blue the area of the circle has to be calculated.

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle with diameter [tex]d[/tex] can be calculated as,

[tex]A=\pi\times \dfrac{d^2}{4}[/tex]

Put the value of the diameter, we get,

[tex]A=\dfrac{22}{7} \times \dfrac{30^2}{4}[/tex]

[tex]A=707.143[/tex]

The area of the circle is 707.143 square feet.

As the area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

Learn more about the area of the circle here;

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ANSWER

B. y=2x+1

EXPLANATION

The graph has a y-intercept of 1.

Let y=mx +b be the equation of the straight line graph.

where b=1 is the y-intercept.

We put this value into the equation to get,

y=mx +1.

Thie point (1,3) must also satisfy this line.

3=m(1)+1

m=3-1

m=2

The equation is

y=2x+1

Answer:11.4

Step-by-step explanation:

Every scale inch is 16 inches

Answer:

A 18° and 72°

Step-by-step explanation:

As you know, the sum of two complementary angles = 90

The ratio 1 : 4 = 1 + 4 = 5

So 90/5 = 18

1 x 18 = 18

4 x 18 = 72

The two complementary angles are  18° and 72°

Answer

A 18° and 72°

The answer is C 24 square units.

Hope this helps!

Answer:

The answer is C.24 square units.

Step-by-step explanation:

the formula is 1/3 area of the base times height so

14*14=106

196*6=1176

1176/3=392

392cm^3 is the anwser

Answer:

Option A. 392 cm³

Step-by-step explanation:

Formula to get the volume of a pyramid is

[tex]V=\frac{1}{3}(l)(w)(h)[/tex]

Here l = length of the base

w = width of the base

h = height of the pyramid

From the figure attached

l = w = 14 cm

h = 6 cm

Therefore, [tex]V=\frac{1}{3}(14)(14)(6)[/tex]

V = 14×14×2 = 392 cm³

Option A. 392 cm³ is the answer.

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= 11(123x - 40) ← distribute

= 1353x - 440

Substitute x = - 4 into the product

= (1353 × - 4) - 440

= - 5412 - 440

= - 5852

Answer:

x=120  

CK

0.60*120=72

120+72=192

192=192  

Hope this helps

Step-by-step explanation:

THE ANSWER IS 192

Answer:

It's -6. She did a bunch of weird work under my answer.

Step-by-step explanation:

The x-intercept of the graph of the equation 3x + 12 = -6 can be found by solving for x. Performing the necessary operations we get x=-6, thus, the x-intercept is -6.

To find the x-intercept of the graph of the equation 3x + 12 = -6, let's first solve the equation for x. The x-intercept is the value of x where the graph intersects with the x-axis, this is the point where y = 0. By rearranging the equation, we can first subtract 12 from both sides to get 3x = -18, then divide both sides by 3 to get x = -6. So, the x-intercept of the graph is -6.

Here, we haven't needed to use information about the slope or the y-intercept, which do not affect the x-intercept. The slope of the line determines its steepness and direction, while the y-intercept determines where it crosses the y-axis. These shape the line but will not change where it crosses the x-axis.

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Answer:

The standard error of the proportion is

[tex]E=0.089[/tex]

Step-by-step explanation:

Assuming that the size of population N is large enough, and with a sample [tex]n = 30[/tex], so that:

[tex]\frac{n}{N}\leq0.05[/tex] then the standard error of the proportion is:

[tex]E = \sqrt{\frac{p(1-p)}{n}}[/tex]

Where

[tex]n = 30\\\\p= 0.6\\\\E = \sqrt{\frac{0.6(1-0.6)}{30}}\\\\E =\sqrt{\frac{0.6(0.4)}{30}}\\\\E=\frac{\sqrt{5}}{25}=0.089[/tex]

150.72 is the exact answer. Hope this helped!!

For this case we must complete squares:

[tex]x ^ 2 + 10x = 15[/tex]

We add the square of half the coefficient of the term "x",

[tex](\frac {b} {2a}) ^ 2[/tex] on both sides of the equation:

[tex]x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15[/tex]

According to the perfect square trinomial we have:

[tex](a + b) ^ 2 = a ^2 + 2ab + b ^ 2[/tex]

Rewriting the expression we have:

[tex]a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40[/tex]

ANswer:

[tex](x + 5) ^ 2 = 40[/tex]

Answer:

[tex]ln(e^x)=ln(3)[/tex]

[tex]x=1.099[/tex]

Step-by-step explanation:

You have the following exponential expression:

[tex]2e^x=6[/tex]

You need to divide both sides of the equation by 2:

[tex]\frac{2e^x}{2}=\frac{6}{2}\\\\e^x=3[/tex]

Now apply the function Natural logarithm to both sides of the function:

[tex]ln(e^x)=ln(3)[/tex]

Note that now the exponential function is transformed into a logarithmic function.

By definition:

[tex]ln(e^x)=x[/tex] Because the base of the Natural logarithm is the Euler's number "e".

Then you can solve for "x":

[tex]x=ln(3)\\x=1.099[/tex])

Answer:

11

Step-by-step explanation:

Answer:

The sum (answer) is [-1, 2, 1, 9].

Step-by-step explanation:

Here we're asked to sum up two matrices of the same dimensions (1 by 4).

The value in the first matrix, first column, is 1; that in the second matrix, first column, is -2.  Combining 1 and -2, we get -1, which is the first column value in the answer matrix.

Continuing in the same manner:  -4 + 6 = 2; 3 - 2 = 1; and 5 + 4 = 9.

The sum (answer) is [-1, 2, 1, 9].

Answer:

Step-by-step explanation:

a

Answer:

A is the answer.

Step-by-step explanation:

59

72

118

144

Answer is (-117, 2)

See photo

Final answer:

An isosceles triangle PQR with points P and Q sharing the same x-coordinate requires point R to also have this x-coordinate to have equal PR and QR sides. The y-coordinate of R should be the average of P and Q's y-coordinates. None of the provided options satisfy these conditions.

Explanation:

If we are looking for the coordinates of point R such that triangle PQR is isosceles, we should recall that in an isosceles triangle, two sides are of equal length. We can observe that whatever point we choose for R, one of the equal sides will be either PR or QR because points P and Q share the same x-coordinate (2).

Considering the coordinates of P (2, 7) and Q (2, -3), the vertical distance between P and Q is 10 units. For triangle PQR to be isosceles, the distance from R to either P or Q needs to be the same. This means point R must be horizontally aligned with P and Q to maintain its x-coordinate as 2, while the y-coordinate must be equidistant from P and Q's y-coordinates.

Since point P's y-coordinate is 7, and Q's is -3, the y-coordinate of R must be the average of 7 and -3, which is (7 + (-3))/2 = 2.

Therefore, the coordinates of R should be (2, 2), making triangle PQR isosceles with PR and QR as the equal sides. However, none of the given options (I, II, III) have an x-coordinate of 2, so none of these points could form an isosceles triangle with P and Q according to the given coordinates.

Answer:

Y=-|x-2|

Step-by-step explanation:

To find which equation matches the graph, take 1 or 2 values of the line on the graph and enter the X and Y values of those points in the equations to see if they match

One good strategy is to take points that are along the axis. I'll first pick (1,-1) and will use (0,-2) to validate if one equation matches (1,-1) first.

Y=-|x|+2

for (1,-1) => -|1| + 2 = = -1 + 2 = 1 NO, should be -1

Y=-|x|-2

for (1,-1) => -|1| - 2 = = -1 - 2 = -3 NO, should be -1

Y=-|x+2|

for (1,-1) => -|1 + 2| = = -|1 + 2| = -3 NO, should be -1

Y=-|x-2|

for (1,-1) => -|1 - 2| = = -|-1 | = -1 YES

for (0,-2) => -|0 - 2| = = -|-2| = -2 YES

1.36208 x 10^4, good luck

Answer:

(a) Option A. independent

(b) [tex]P(A\ and\ B) = 0.0312[/tex]

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

[tex]P(A\ and\ B) = P(A)*P(B)[/tex]

The probability that a baby is a girl is

[tex]P(A) = 0.5[/tex]

The probability of obtaining a 1 when casting a 16-sided die is:

[tex]P(B) = \frac{1}{16}[/tex]

Then:

[tex]P(A\ and\ B) = 0.5 * \frac{1}{16}[/tex]

[tex]P(A\ and\ B) = 0.0312[/tex]

Answer:

A. 5

Step-by-step explanation:

you need to bring the dot to the same value like this =10÷2

Start with

[tex]6-\dfrac{2}{3}x<x-9[/tex]

Add 9 to both sides

[tex]15-\dfrac{2}{3}x<x[/tex]

Add [tex]\frac{2}{3}x[/tex] to both sides

[tex]15<\dfrac{5}{3}x[/tex]

Multiply both sides by 3/5

[tex]9<x[/tex]

Which is the same as

[tex]x>9[/tex]

Ok ima be your math teacher. So basically 11 squared by two equals 121. Well you may be like Why!??!?! And it is because 11 squared by two is 11X11. Lets say the question was 11 squared by 4 then the answer would be 11X11X11X11 4 times! GET IT?!

Answer:

Step-by-step explanation: