there are 90 dogs and 60 casts at the east dallas animal shelter. of these animals, 9 dogs and 3 cats have parvovirus. what percentage of the animals in the shelter have parvovirus.

Answer:

A

Step-by-step explanation:

The true statement is, the vertex is (1, -5) and the axis of symmetry is x = 1.

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

g(x) = 5x² - 10x

The function written in vertex form is,

g(x) = 5(x - 1)² - 5

Vertex form of a quadratic equation is,

y = a(x - h)² + k, where (h, k) is the vertex.

Here vertex = (h, k) = (1, -5)

Axis of symmetry = -b/2a = -(-10)/10 = 1

Axis of symmetry is, x = 1

Hence the correct option is A.

Learn more about Quadratic Function here :

https://brainly.com/question/13921516

#SPJ7

Answer:

Whole numbers would be a set inside the integer set, where the integer set that is not in the whole number set would be all negative integers.

Step-by-step explanation:

whole numbers are defined to be positive numbers including zero.

Given :

Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%.

The house she wants is $250,000 and she will make a $55,000 down payment and borrow the remainder.

To Find :

What is Marisa's monthly mortgage payment to the nearest dollar.

Solution :

Money remains, m = $( 250000 - 55000 ) = $195000 .

Total price after interest, T = m( 1 + rt )

T = 195000×( 1 + 0.049×1)

T = $204555

Monthly payment,

[tex]M = \dfrac{m}{12}\\\\M = \dfrac{204555}{12}\\\\M =\$ 17046.25[/tex]

Therefore, monthly payment is $17046.25 .

Hence, this is the required solution.

Answer:

(2z + 5)(2z - 3)

Step-by-step explanation:

4z² + 4z - 15

4z² + 10z - 6z - 15

2z (2z + 5) - 3 (2z + 5)

(2z + 5)(2z - 3)

Answer:

(2z+5) (2z-3)

Step-by-step explanation:

First, multiply the first coefficient by the third.

4*-15=-60

Then find factors of -60 that add up to the middle term.

The factors are: -6 and 10-------> -6*10=-60 and -6+10=4 so -6 and 10 are the correct factors.

Break up the middle term with the factors that you got above. The new equation will be: 4[tex]z^{2}[/tex]-6z+10z-15

Factor by grouping.

First, break the equation into two

(4[tex]z^{2}[/tex]-6z) (10z-15)

Then, factor out the greatest number you can

2z(2z-3) 5(2z-3)

You are then left with a common binomial of 2z-3. COmbine the common binomial into 1 and combine the 2 numbers you factored out in the step above (2z and 5) The final equation will be this:

(2z+5) (2z-3)

Answer:

10

Step-by-step explanation:

y = 3(5) - 5     multiply 3 and 5

y = 15 - 5        subtract 5 from 15

y = 10              10 is the output

hope this helps!

Answer:

16(1/4x-1/2)>24-2x

Use the distributive property on the left side:

4x -8 > 24-2x

Add 2x to each side:

6x -8 > 24

Add 8 to each side:

6x >32

Divide both sides by 6:

x > 32/6 reduces to 16/3

If this is helpful plz mark brainliest

Answer:

These are the correct answers:

Answer: 7.6875 seconds.

Step-by-step explanation:

Let's writhe the motion equations for the rock.

The only force acting on the rock will be the gravitational force, then the acceleration of the rock will be the gravitational acceleration g ≈ 32 ft/s^2

A(t) = -32ft/s^2

Where we have a negative sign because this acceleration pulls the rock downwards.

For the velocity, we must integrate over time, and the constant of integration will be equal to the initial velocity of the rock = 64 ft/s, then the velocity equation is:

V(t) = (-32ft/s^2)*t + 64m/s

For the position, we integrate again over time, and this time the constant of integration will be the initial position, 512ft (Then the water level is at 0 ft)

P(t) = (1/2)*(-32ft/s^2)*t^2 + 64m/s*t + 512 ft

Now we want to find the value of t, the time, such that the rock hits the water.

The rock will land in the water when P(t) = 0ft, becuse we defined the zero in the position as the water.

Then we must solve:

P(t) = 0ft = (1/2)*(-32ft/s^2)*t^2 + 64m/s*t + 512 ft

for t, let's solve this:

0ft = (-16ft/s^2)*t^2 + 64m/s*t + 512 ft

This is a quadratic equation. the two solutions can be found by using the Bhaskara equation, then the solutions will be:

[tex]t = \frac{ -64ft/s +- \sqrt{(64ft/s)^2 - 4*(-16ft/s^2)*512ft} }{2*(-16ft/s^2)} = \frac{-64ft/s +- 192ft/s}{-32ft/s}[/tex]

Then the two solutions are:

t = (-64ft/s + 192ft/s)/(-32ft/s^2) =  -4s      (This time is negative, which is no really defined for this problem, so we can discard this solution)

The other solution is:

t = (-64ft/s - 192ft/s)/(-32ft/s^2) = 7.6875 s

This solution makes sense with the problem, then the answer is 7.6875 seconds.

Answer:

The scale factor is 1/2 or .5

Step-by-step explanation:

Triangle XYZ scales down by 1/2 to form the new XYZ triangle

For example: on the left side, X is (6,4) and on the right side, X is (3,2)... it's cut in half meaning the scale factor is 1/2 or .5

Hopefully this isn't confusing and it helps... :)

9514 1404 393

Answer:

  use the transitive property and the congruence of vertical angles

Step-by-step explanation:

First of all, look at the figure and the given information, and see how that relates to the question being asked.

Here, you're given several angles between the lines of interest, all of which are congruent, and you're asked to show the lines are parallel. Two of the given angles (1 and 4) are "alternate interior angles", so the theorem relating those to parallel lines is useful.

Statement . . . . Reason

1. ∠1 ≅ ∠2, ∠3 ≅ ∠4 . . . . 1. Given

2. ∠2 ≅ ∠3 . . . . 2. Vertical angles are congruent

3. ∠1 ≅ ∠3 . . . . 3. transitive property of congruence*

4. ∠1 ≅ ∠4 . . . . 4. transitive property of congruence

5. k ║ l . . . . 5. Converse of alternate interior angles theorem**

_____

* The transitive property tells you if a ≅ b and b ≅ c, then a ≅ c.

** The alternate interior angles theorem says the alternate interior angles at a transversal crossing parallel lines are congruent. The converse says if those angles are congruent, then the lines are parallel.

Answer:

Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Step-by-step explanation:

Given that:

Total number of shrimp contained in the bag of Emily = 75

Number of skewers available = A dozen

A dozen means 12.

Therefore, there are 12 number of skewers available.

Each skewer can have = 5 number of shrimp

Total number of shrimp on the 12 skewers = 12 [tex]\times[/tex] 5 = 60

Total number of leftover = Total number of shrimp in the bag - Total number of shrimp on the 12 skewers = 75 - 60 = 15

Therefore, Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Answer:

m=10

Step-by-step explanation:

using y=mx+b

Step-by-step explanation:

hope this will help u............

The value of y for the given expression 12-(4y+8)=0.5(8y-16) is 3/2.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

As per the given expression,

12-(4y+8)=0.5(8y-16)

12 - 4y - 8 = 4y - 8

4y + 4y - 8 = 12 - 8

8y = 12

y = 12/8 = 3/2

Hence "The value of y for the given expression 12-(4y+8)=0.5(8y-16) is 3/2".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

C

Step-by-step explanation:

5/2=15=6=2.5

Answer:

2.5

Step-by-step explanation:

Since there is 5 cups of flour for 2 cups of vanilla, then all you need to do is divide 5 by 2.

5/2 is 2.5

Hope this helped :)

Answer:

60

Step-by-step explanation:

look at the photo lol, tried to draw it out

Answer:

D

Step-by-step explanation:

Also hello Harrypotter fan!!!

Answer: between 17 and 18

Step-by-step explanation:

Fun fact , we have a pfp from the same scene:D

Answer:

I think it would be 9 miles.

Answer:

If it is from figure O to figure P, it is a translation 3 units right and 2 units down

If it is from figure P to figure O, it is a translation 3 units left and 2 units up

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

You take 1/6 times 4/6 which equals 1/9.

Hope that helped! :)

Answer:

k

Step-by-step explanation:

yes u smart

We must determine the y-intercept, b using the slope and point provided.

[tex]-5 = -3(2) + b\\\\-5 = -6 + b\\\\1 = b[/tex]

Now that we know the y-intercept, b, we can create the equation of this line: y = -3x + 1.

Answer:

40 tablespoons

Step-by-step explanation:

Answer:

The domain for A is 0, 1, 2, 3 and the range is 0, 5, 10, 15

and the domain for B is 2, 2, 4, 4 and the range is 4, 3, 2, 1

Only A is a function because for the same input value in B, there is two different output values which is not possible.

Step-by-step explanation:

I just wanna let you know so you don't waste any more points for us, but the domain is the x-values/ input/ stuff on the left of a given point. The range is the y-values, the output, and the stuff on the right side of a given point. So on (1, 7) for example, the 1 would be the domain number and the 7 would be the range number.

The y-axis values are the output/range and the x-axis values are the input/domain.

Hope this helps bro

Answer: Whats your snap i think I'm simping :)

Step-by-step explanation:

Answer:

answers are in the picture

Answer:

k=3

Step-by-step explanation:

Answer: 20/3 = 40/6. These two fractions are known as equivalent fractions. Hope this helps ya.

Answer:

40

Step-by-step explanation:

20/3=40/6 the answer for the second fraction is just double the first fraction so your answer is c) 40