An animal shelter spends $2.50 per day to care for each bird and $4.00 per day to

care for each cat. Noah noticed that the shelter spent $52.00 caring for birds and cats

on Friday. Noah found a record showing that there were a total of 19 birds and cats

on Friday. How many birds were at the shelter on Friday?

Answer:

3

Step-by-step explanation:

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

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Answer:300

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6 is the smallest so the first one would be c because it is the smallest

Answer:

c

Step-by-step explanation:

Answer:

it would be c because it is plotted correctly

Answer:

Step-by-step explanation:

Volume formula:

Base area:

Volume:

Step-by-step explanation:

hope this help the other angles are 5 degrees, 175degrees and 175 degrees

Answer:

jwbeeivrievtidtvidvtirvtjrvtitthtirht

Answer:

Step-by-step explanation:

Angle DBC is congruent with ADB as alternate interior angles

Answer:

11 sweatshirts and 17 t shirts

Step-by-step explanation:

[tex]t + s = 28\\12t = 20s = 424[/tex]

Step one: cancel out one variable. In this one, t.

[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]

Now that we have that, subtract that from the other expression.

[tex]12t + 20s = 424\\-12t -12s = 336[/tex]

You should get:

[tex]8s = 88\\ s = 11[/tex]

Plug s in any expression

[tex]t + 11 = 28[/tex]

You should know where to go from there, I'm lazy :p

Then t = 17

GOod Luck!!!!

Answer:

point b is plotted incorrectly

Step-by-step explanation:

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

Answer:

The statue is 22ft tall.

Step-by-step explanation:

Here we will have two similar triangle rectangles.

One is made between the girl's feet, the mirror, and the girl's eyes.

So in this case the catheti are:

the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)

The other triangle rectangle has the vertices:

The mirror, the base of the statue, and the top of the statue.

Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).

Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.

Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:

3m = k*12m

And the height of the girl must be k times the height of the statue.

5.5ft = k*X

You can see that we have different units, this does not matter because k is a dimensionless constant.

With the first equation we can find the value of k

3m = k*12m

3m/12m = k

(3/12) = 1/4 = k

Now we can replace this in the other equation to get:

5.5ft = (1/4)*X

Solving this for X we get:

(5.5ft)*4 = X

22ft = X

The height of the statue is 22ft.

Answer:

The answer is 196 apples

Step-by-step explanation:

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Answer:

The graph that does not represent a function is;

The first graph of the circle

Step-by-step explanation:

A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range

Therefore, a function maps an input to exactly one output

In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle

In the graph of the circle, we have;

When x = 0 at the origin, y = 0

Similarly

When x = 0 at the maximum point, y = 4

Therefore, the graph of the circle does not represent a function.

Answer:

y=5/4x+8 Answer Choice D).

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(18-13)/(8-4)

m=5/4

y-y1=m(x-x1)

y-13=5/4(x-4)

y-13=5/4x-20/4

y-13=5/4x-5

y=5/4x-5+13

y=5/4x+8

Answer:

y = 4x-2

Step-by-step explanation:

y = mx+b

y = 4x+b

y = 4x-2

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

Answer:

30.25 seconds

Step-by-step explanation:

If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.

Answer:

4²+b² = 5²

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the length of the missing side.

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.  Algebraically, this is represented as

a²+b² = c²

We have the measure of one leg, 4 in.  We also have the measure of the hypotenuse, 5 in.  This gives us

4²+b² = 5²

I hope this helps <3

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I think its option 2

Answer:

The coordinates of P is (-1,5.5)

Step-by-step explanation:

Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3

To do this, we are going to use the section formula

We have this as;

(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n

where m = 1 , n = 3

(x1,y1) = (-3,4)

(x2,y2) = (5,10)

Substituting these values, we have;

(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4

(x,y) = (-9+ 5)/4 , (12 + 10)/4

(x,y) = (-1, 5.5)

The surface area of triangular prism is 281.68 square cm

Triangular Prism is a pentahedron and has nine distinct nets. The edges and vertices of the bases are joined with each other via three rectangular sides. The sides of the triangular prism, which are rectangular in shape are joint with each other side by side. All cross-sections parallel to the base faces are the same as a triangle. A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.

We have,

The length of triangular prism(l)=13 cm

The height of triangular prism(h)= 5.1 cm

The base of triangular prism(b)= 6.8 cm

S1, S2, and S3 are the three edges (sides) of the base triangle=6.1 cm,6.8 cm and 6.1 cm

Perimeter of base(p)=S1+S2+S3

                             =6.1cm+6.8cm+6.1cm

                            =19cm

According to question,

We know the formula of The surface area of prism=(perimeter of base× length of prism)+(2×base area of prism)

                                          =(P ×l)+(2×[tex]\frac{1}{2}[/tex]×b ×h)

                                          =(19×13)+(6.8×5.1)

                                           = 247+34.68

                                           =281.68 square cm

To learn more about surface area of prism here

https://brainly.in/question/7707474

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Answer:

80 dollars and 50 cents.

Step-by-step explanation:

youd first multiply 70 by .15 which would equal 10.5. then add the 70 and 10.5 together. then you get your answer. so the expression youd want to use would be "x=70×.15"

Answer:

a

Step-by-step explanation:

youre welcome

Answer:

Constant - A symbol having a fixed numerical value.

Proportionality - Equality between two ratios.

Answer:

X=60

Step-by-step explanation:

Sum of the Quadrilateral interior angles:360

360-70-130-100=60