The ratio of students who own a.car to those who own a dog is 4.3. If 36 students own dogs, how many students own cats?

A. 48
B. 36
C. 27
D. 18

Answer:

1.5mg

Step-by-step explanation:

From the question, we are told that the HCP prescribed 7.5 mg of PO weekly

The therapeutic dosage is given in the question as 5 - 15 mg/m² weekly.

The child's body surface area is given = 0.6m²

The mg of PO that the nurse should administer in each of the three doses given weekly is calculated as

7.5mg/ 5mg/m²

= 1.5 mg of PO

Answer:

Term to add is (3/8)^2 = 9/64

Step-by-step explanation:

Here, we want to know the value that must be added to make the equation a perfect square.

x^2 - 3/4x = 5

x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5

x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2

= (x-3/8)^2 = 5 + (3/8)^2

So the term to add is (3/8)^2 = 9/64

Answer:

[tex]\dfrac{9}{64}[/tex]

Step-by-step explanation:

Given the equation: [tex]x^2-\frac{3}{4}x=5[/tex]

To make the left hand side of the equation a perfect trinomial, we follow these steps.

Step 1: Divide the coefficient of x by 2.

Coefficient of x [tex]=-\frac{3}{4}[/tex]

[tex]-\frac{3}{4} \div 2 =-\frac{3}{8}[/tex]

Step 2: Square your result from step 1

[tex]\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}[/tex]

Therefore, to make the Left-Hand side a  perfect-square trinomial, we add 9/64.

Answer:

[tex]x = p(m-n)[/tex]

Step-by-step explanation:

m = n + [tex]\frac{x}{p}[/tex]

Subtracting n to both sides

=> m-n = [tex]\frac{x}{p}[/tex]

Multiplying p to both sides

=> [tex]x = p(m-n)[/tex]

Answer:

x=p(m-n)

Step-by-step explanation:

m =n + x/p

x/p=m-n

x=p(m-n)

Answer:

there are now 3.5 kilograms of grapes in the basket (the mystery number is 1.5)

Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.

It means that the weight of the grapes in the box is x kg and that of basket is y kg.

It has been given that the box had twice as many grapes as a basket. Therefore, we have

Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.

Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have

Substituting the value x=2y in the equation, we get

Therefore, the basket contains 1.5 kilograms of grapes.

Answer:

we know that, the point where the diagonals meet creates angles and these angles can indeed sum upto 360 degrees. and these angles, most likely are 90 degrees, since 90+90+90+90=360 degrees.( and the diagonals of a rhombus meet at approximately right angles)

lets take a triangle out of the rhombus, ( the triangle with angle 22)

here, we have two angles, 22 degrees and 90 degrees( angle at the diagonals); we also know that interior angles of a triangle is 180 degrees.

so, 22+90+unknown = 180 degrees

112+ unknown=180

unknown = 180 -112

                = 68 degrees

we have found that the angle next to x is 68 degrees and that interior angles of the rhombus is 360, which means that each interior angle sums upto 90 degrees. lets take the angle beside x as z. since we have found that z= 68 degrees, 90-68 degrees gives x which is 22 degrees.

so, x= 22 and y= 90

Answer:

-1

Step-by-step explanation:

First we combine like terms, so y2 - 5y = - 3y

Now we get - 3y = 3

Then we divide both sides by - 3

Now we get y =-1

Answer:

Step-by-step explanation:

The answer is y= +/- 5 sqrt 37/2

Answer:

1/4 or 25% chance

Step-by-step explanation:

the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4

The probability that a student that guesses gets at least 2 questions correct is 1/4.

The probability of getting a question correct is the same as the probability of getting a question wrong.

The probability of getting the question is correct is;

[tex]= \dfrac{1}{2}[/tex]

The probability of getting the question is wrong is;

[tex]= \dfrac{1}{2}[/tex]

Therefore,

The probability that a student that guesses gets at least 2 questions correct is;

[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]

Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.

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Answer:

Step-by-step explanation:

The attachment will help you with your question:

Answer:

b=69 degrees

Step-by-step explanation

Use the remote interior angle theorem which states that the sum of the two remote interior angles is equal to the exterior angle. Basically, b=(b-36)+(b-33). That will give you b=2b-69. Then b=69. There's ur answer.

Answer: 15 sides

Step-by-step explanation: Because the sum of the outer angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equivalent outer angles and therefore 15 vertices and sides to the polygon

Answer: angle is 24 degrees meaning that a regular polygon has more than 6 sides hope this is helpful

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

10-8 x 2 = 4

2 x 2 = 4

4 = 4

The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Let the required number is x.

According to given condition,

When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.

Implies that,

2 (10 - x) = 4

10 - x = 2

x = 10 - 2

x = 8

The required number is 8.

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Answer:

4.4

Step-by-step explanation:

Write the question out as an equation:

7+x/3 = 2x - 5

Rearrange , simplify and solve:

7+x = 3(2x-5) = 6x - 15

7+x = 6x-15

6x - 15 = 7+x

6x = 7+x+15 = 22+x

6x = 22+x

6x-x = 22

5x = 22

x = 4.4

hope this helps.

Good Luck.

Please Mark Brainiest

Answer:

Step-by-step explanation:

7+x/3=2x-5

taking 3 on the RHS

7+x=6x-15

22=5x

x=22/5

=4.4

Answer:

Step-by-step explanation:

Hello,

Is this equality true ?

sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x

1. let 's estimate the left part of the equation

[tex]sec(x)csc(x)(tan(x) + cot(x)) =\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin(x)}{cos(x)}+\dfrac{cos(x)}{sin(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin^2(x)+cos^2(x)}{sin(x)cos(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{1}{sin(x)cos(x)})\\\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]

1. let 's estimate the right part of the equation

[tex]2+tan^2(x) + cot^2(x)=2+\dfrac{sin^2(x)}{cos^2(x)}+\dfrac{cos^2(x)}{sin^2(x)}\\\\=\dfrac{2cos^2(x)sin^2(x)+cos^4(x)+sin^4(x)}{cos^2(x)sin^2(x)}\\\\=\dfrac{(cos^2(x)+sin^2(x))^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]

This is the same expression

So

sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x

hope this helps

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 5 ] , thus

f(b) = f(5) = - 26 ← value of y for x = 5 from table

f(a) = f(3) = - 10 ← value of y for x = 3 from table

average rate of change = [tex]\frac{-26-(-10)}{5-3}[/tex] = [tex]\frac{-16}{2}[/tex] = - 8 → A

Answer:

The correct option is (B).

Step-by-step explanation:

The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.

For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.

In this case it is provided that:

The statement:

"the probability that a student who is a licensed driver is a male"

Is a statement of conditional probability.

This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.

Thus, the correct option is (B).

Answer:

30, root 3 over 2 or the third option

I did it on my quiz :)

But basically it is 30, root 3 over 2 because sin and cos are complements to one another.

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. The correct option is C; 30°, (√3)/2.

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. There are several trigonometric identities relating to the side length and angle of a triangle.

Given that sin(60°) is (√3)/2. Therefore, the value of cos can be written as,

sin(60°) = (√3)/2

cos(90° - 60°) = (√3)/2 {Cos(90° - x) = Sin(x)}

cos 30° = (√3)/2

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Answer:

  A.  All real numbers

Step-by-step explanation:

We assume that the "linear parent function" is ...

  y = x.

Its range is "all real numbers."

Answer:

all real numbers

Step-by-step explanation:

AP-EX

Answer:

  about 113.04 square inches

Step-by-step explanation:

No angles are indicated, so we must assume the sector is 1/4 of the circle. Then its area is 1/4 of that of a circle with radius 12 in:

  Circle area = πr²

  Sector area = (1/4)π(12 in)² = 36π in²

  Sector area ≈ 36(3.14) in² = 113.04 in²

Answer:

7/12 chance

Step-by-step explanation:

(1 2 3 4 5 6)

(1 2 3 4 5 6)

All the possibilities:

(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)

(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)

(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)

(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)

(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)

(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)

There are 18 odd sums.

(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)

(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)

(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)

(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)

(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)

(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)

There are 3 possibilities whose sums add up to 10.

Since there are 36 total possibilities and 21 numbers that fit the rule of having an odd sum or a sum of 10. There is a 21/36 chance or simplified, 7/12 chance.

Answer:

First Option

Step-by-step explanation:

When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.

Answer:

95 degrees

Step-by-step explanation:

All triangles have an interior measure of 180 degrees

180-41-44=95

Answer:

95 degrees

Step-by-step explanation:

Answer:

3, 5, 8, 4, 5

Step-by-step explanation:

Step-by-step explanation:

[tex]a^n={\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]

[tex]\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=\underbrace{b\cdot b\cdot b}_{3}\cdot\underbrace{b\cdot b\cdot b}_{3}=\underbrace{b\cdot b\cdot b\cdot b\cdot b\cdot b}_{6}=b^6[/tex]

[tex]\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=b^{3+3}=b^6\qquad\text{used}\ a^n\cdot a^m=a^{n+m}[/tex]

[tex]\left(b^3\right)^2=\left(\underbrace{b\cdot b\cdot b}_{3}\right)^2=b^2\cdot b^2\cdot b^2=b^{2+2+2}=b^6\\\text{used}\ (ab)^n=a^nb^n,\ a^n\cdot a^m=a^{n+m}[/tex]

[tex]\left(b^3\right)^2=b^{3\cdot2}=b^6\qquad\text{used}\ \left(a^n\right)^m=a^{nm}[/tex]

Answer:

42=7(x+5)

42=7x+35

42-35=7x

7=7x

X=7/7=1

Answer:

The equation of the tangent is [tex]y=-\frac{8}{15}x+\frac{289}{15}[/tex].

Step-by-step explanation:

Center = (0, 0). Point on the circle = (8, 15).

OP is a radius. The slope of the radius = [tex]\frac{15-0}{8-0}=\frac{15}{8}[/tex].

The tangent is perpendicular to the radius.

So, its slope is = [tex]-\frac{8}{15}[/tex].

The tangent passes through (8, 15).

So, the equation is:

[tex]y-15=-\frac{8}{15}\left(x-8\right)\\y-15=-\frac{8}{15}x+\frac{64}{15}\\y=-\frac{8}{15}x+\frac{289}{15}[/tex]

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Answer:

Step-by-step explanation:

To find x we use cosine

cos∅ = adjacent / hypotenuse

x is the adjacent

8√3 is the hypotenuse

cos 30 = x / 8√3

x = 8√3 cos 30

To find y we use sine

sin∅ = opposite / hypotenuse

y is the opposite

8√3 is the hypotenuse

sin 30 = y / 8√3

y = 8√3 sin 30

Hope this helps you

Answer: The width is x-6

Step-by-step explanation:

To find the with factor out the area x^2 - 11x + 30

[tex]x^{2}[/tex] - 11x +30  to factor it find two numbers that multiply to get 30 and add up to get -11 . And that two numbers are -6 and -5 .

[tex]x^{2}[/tex] - 5x - 6x + 30   now group them

([tex]x^{2}[/tex] - 5x) (-6x+ 30)   factor them out.

x(x - 5) - 6(x -5)   Factor x-5 out  

(x-5)(x-6)  since the length is x-5 then the width is x-6.

I hope this helps you

Answer:

The 3rd one is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

= x^2+6x+9-8=0

=x^2+6x+1=0

D=b^2-4ac

D= 36-4

D=32

x=-b±root D/2a

x=-6+4root2/2     ,    x = -6-4root2/2

simplify you get the least form...

hope it helps