The ratio of boys to girls in a school is 4:7.
Check all statements that must be true based on the statement above.
If none of the statements is true, check "None of the above".
There are exactly 4 boys and exactly 7 girls in the school.
For every 4 girls in the school, there are 7 boys.
For every 4 boys in the school, there are 7 girls.
For every 7 boys in the school, there are 4 girls.
None of the above

Answer:

When the cab travels 0 miles, the total fee will be $10.00.

Step-by-step explanation:

We Know

2 miles = $13.00

5 miles = $17.50

3 miles = 17.50 - 13.00 = $4.50

1 mile = 4.50 / 3 = $1.50

So, for every 1-mile go, the cost is increasing by $1.50; this is the slope.

What does the y-intercept mean in this situation?

It is the total fee that Tyrell pays when the cab goes 0 miles (when he first steps in the cap).

So, the answer is D. When the cab travels 0 miles, the total fee will be $10.00.

Answer:

2:3

Step-by-step explanation:

Ratio is indicated by :

Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3

Hope this helps plz mark brainliest if correct :D

Answer:

2:3

Step-by-step explanation:

2 is first and 3 is the second number so you put them in order

Answer:

i can't understand the question but if you put a link I can figure it out

Answer:

11 Cards.

Step-by-step explanation:

The stack has 24 cards. Cate added 8 cards. 24 + 8 = 32.

Elena then took 12 cards. In other words, 32 - 12 = 20.

Finally, Cate took 9 cards from the stack. 20 - 9 = 11. So the resulting amount of cards in the stack is 11.

Answer:

P((1 + r)^6) = 1,675.80

P((1 + r)^5) = 1,606.50

------------------------------

b) 1 + r = 266/255, so r = 11/255 = .04 = 4%

a) P((1 + 11/255)^5) = 1,606.50

P = $1,300.69

Answer:

462

S ee attached

Answer:

its 462

Step-by-step explanation:

Answer:

B)14.14

Step-by-step explanation:

a square is made of 2 right triangles

the two legs of one right triangle are both 10 so

using Pythagorean theorem we get the square root of 10^2+10^2

this solves to the square root of (200)

which is ≈ 14.14...

Answer:

There is no question given here.

The value of x, considering the consecutive interior angles in this problem, is given as follows:

x = 30.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

3x - 8 + 4x - 22 = 180

7x - 30 = 180

7x = 210

x = 210/7

x = 30.

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Answer: The train station is located at point (5,1).

Step-by-step explanation:

Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).

A tourist information center is between bus station and train station.

i.e.  tourist information center is a mid point  of line joining bus station and  train station.

Midpoint between (a,b) and (c,d) is given by :-

\((x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})\)

Let (a,b) be the coordinates of train station , then

\((1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1\)

Hence, the train station is located at point (5,1).

In order to solve this equation, we can first do the following steps to simplify it:

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

Answer:

Simplify the solution: 13^1d^3

Step-by-step explanation:

Any expression raised to the power of one equal itself.

Answer:

\(y = Acos5x - Bsin5x\)

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

\(y = Acosax + Bsinax\)

Substitute the value of a in the equation

\(y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x\)

Hence the general solution to the differential equation is \(y = Acos5x - Bsin5x\)

Answer:

x=2

Step-by-step explanation:

Must beginners have trouble with this, so instead multiply each side

2/3 x 15= 5 * x

10=5x

10/5=5x/5

2=x

Answer:

x = 2

Step-by-step explanation:

\(\frac{2}{3} x 3 = 2\\5 x 3 = 15\\\\\frac{2}{15}\)

Answer:

Step-by-step explanation:

It said the greatest amount,

So change 50% to .50

120x.50=60

Factorization implies the obtaining of the common factors in an expression.

The term factorization implies the obtaining of the common factors in an expression.

The factors of the expressions are as follows;

1) (x−1)(x+7)

2) (x−2)(x−3)

3) (x+1)(x−7)

4) (x−1)(x+6)

5) (x−3)(x+4)

6) (x+2)(x−4)

7) (x+1)(x−5)

8) (x−1)(x+3)

9) (x+4)(x−4)

10) (x+3)(x−4)

11) (x−3)(x−6)

12) (x+2)(x−7)

13) (x−2)(x−5)

14) (x−3)(x−8)

15) (x+5)(x−6)

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Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

D = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

\(P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01\)

Compute the missing probabilities as follows:

\(P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99\)

The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:

\(P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}\)

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

\(P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}\)

              \(=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667\)

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

C

Step-by-step explanation:

Given

x + 10 = 3(x - 1)² ← expand (x - 1)² using FOIL

x + 10 = 3(x² - 2x + 1) ← distribute

x + 10 = 3x² - 6x + 3 ← subtract x + 10 from both sides

0 = 3x² - 7x - 7 → C

Answer:

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

Given: length = 15 feet, width = L x 80%

Unknown: width = ?

 width = L x 80%

        w = (15ft) x 80%     or (15ft) x .80

        w = 12 ft

Answer:

Formula of rectangle :-

l ×b

80/100 × 15 ×b

8/10 × 15 ×b

80/100 × 15 =b

8/10 ×15 =b

4/5 × 15 =b

4 × 3 = b

b = 12feet

b = 12 feet

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:

The scatterplot that shows the strongest negative linear association would have the points on the plot in a downward slope from left to right. The closer the points are to forming a straight line going from the upper left to the lower right, the stronger the negative linear association is. The points on the scatterplot with the strongest negative linear association will be closely clustered along a line, indicating a clear and strong relationship between the two variables being plotted.

Answer:

The length of the rectangular box is 30 centimeters.

Step-by-step explanation:

Let suppose that rectangular box is closed. The rectangular box is represented by a parallelepiped, whose surface area (\(A_{s}\)), measured in square centimeters, is defined by the following formula:

\(A_{s} = 2\cdot (w\cdot h + w\cdot l + h\cdot l)\) (1)

Where:

\(w\) - Width, measured in centimeters.

\(h\) - Height, measured in centimeters.

\(l\) - Length, measured in centimeters.

If we know that \(A_{s} = 7440\,cm^{2}\), \(w = 40\,cm\) and \(h = 36\,cm\), then the length of the rectangular box is:

\(2880 +80\cdot l + 72\cdot l = 7440\)

\(152\cdot l = 4560\)

\(l = 30\,cm\)

The length of the rectangular box is 30 centimeters.

Answer:

l = A/aw

Step-by-step explanation:

Since we want the equation in terms of l, we simply isolate the l by dividing both sides by aw:

A = law

A/aw = law/aw

A/aw = l

Answer:

18/38 or 9/19

Step-by-step explanation:

18 squares are red

18 squares are black

2 squares have 0 or 00

solve for x

\(\frac{x-5}{3} -\frac{x-2}{4} =7\)

Multiply both sides of the equation by 12, the least common multiple of 3,4.

4(x−2)−3(x−2)=84

Use the distributive property to multiply 4 by x−2.

4x−8−3(x−2)=84

Use the distributive property to multiply −3 by x−2

4x−8−3x+6=84

Combine 4x and −3x to get x

x−8+6=84

Add −8 and 6 to get −2.

x−2=84

Add 2 to both sides.

x=84+2

Add 84 and 2 to get 86

x=86