This graph shows the populations of Baltimore and Cleveland in the 20th century. `B\left(t\right)` is the population of Baltimore in year `t`. `C\left(t\right)`is the population of Cleveland in year `t`.



How could we use function notation to express that the populations of Baltimore and Cleveland were equal in 1910?

Answer:

x=65

Step-by-step explanation:

triangle with angle a is isosceles triangle

this means that the other 2 angles within the triangle on the left (triangle with angle a) are the same.

so if a=44

the other two angles would equal

[tex]\frac{180-44}{2}[/tex] = 68

the angle on the right of angle a, is opposite angles with the left corner of the traingle with angle x.

rule: opposite angles are equal

thus, that angle is also equal to 68

for the triangle with angle b, it is also an isosceles

if B = 47

then the other angle is also 47, we can ignore the tip of the triangle because we do not need it to find x.

since b is opposite angles with the right corner of triangle with angle x then

that angle also equals 47

now we know two angles of the triangle with angle x

thus to find x

180-47-68 = 65

Answer: 6x(9+n)

1st, 2nd, and 6th options

Step-by-step explanation:

Answer:

1, 2, 4, and 6 option

Step-by-step explanation:

i just took the test on edge2022

Answer:

13

Step-by-step explanation:

Evaluate the expression for v = 2.

First, plug in 2 wherever v is seen.

5v + 3

5(2) + 3

Next, multiply.

5(2) + 3

10 + 3

Add.

10 + 3

13

Your final answer is 13.

Please let me know if there are any issues with this answer.

Answer:

i think this is algebra

Step-by-step explanation:

The first thing you have to do is open the multiplication parenthesis to substitute V for 2

5v + 3

5 (2) + 3

Now that you have the parenthesis, you multiply and then the result that you add.

5(2) or 5x2= 10 but is better with parenthesis.

10 + 3

=3

I hope this helps.

Answer:

maybe get help from your teacher

Answer:

C) The graph opens down and the vertex is a maximum.

Step-by-step explanation:

Just took the quiz on K12, good luck! :)

Option (C) will be the correct option.

         f(x) = ax² + bx + c

         Vertex of the parabola is represented by [tex][-\frac{b}{2a}, f(\frac{b}{2a})][/tex]

         And the sign of the leading coefficient decides the opening of the

         parabola.

         For positive sign of 'a' → Parabola will open upwards

         For negative sign of 'a' → Parabola opens downwards

Quadratic function given in the question is,

f(x) = -4x²+ 6x - 7

Leading coefficient → (-4)

Negative sign represents the opening of the parabola downwards.

And the vertex will be a maximum.

           Therefore, Option (C) will be the correct option.

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Answer:

x = 6 and the +4x is wrong

Step-by-step explanation:

2x + 4x + 4 = 4(x + 4)

6x + 4 = 4x + 16

+4x +4x  <--( This part is wrong )

10x + 4 = 16

-4 -4

10x = 12

10 10

x = 1.2

Correct steps

2x + 4x + 4 = 4(x + 4)

6x + 4 = 4x + 16

-4x        -4x

2x + 4  = 16

      -4     -4

2x = 12

2       2

x = 6

Answer:

Step-by-step explanation:

The image is not showing up

Answer:

26.69

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached

The missing side is x;

From the triangle we are given;

Opposite = x

Hypotenuse = 29

Angle of elevation = 67 degrees

Using the SOH CAH TOA identity;

Sin theta = opposite/hypotenuse;

sin 67 = x/29

x = 29sin67

x = 29(0.9205)

x = 26.69

Hence the length of the missing side is 26.69

All trigonometric ratios of triangle PQR were calculated.

In the given right triangle PQR

PR = 14

QR = 50

So, using Pythagoras' theorem

PQ = 48

Sine of an angle = Opposite side / Hypotenuse

cosine of an angle = Adjacent side/ Hypotenuse

Tangent of an angle = Opposite side/ Adjacent side

So, SinQ = 14/50 =7/25      

CosecQ = 1/SinQ = 25/7

CosQ= 48/50 = 24/25

SecQ = 1/CosQ = 25/24

TanQ = 14/48 = 7/24

CotQ = 1/tanQ = 24/7

SinR=24/25

CosecR = 1/SinR= 25/24

CosR=7/25

SecR = 1/Cosr = 25/7

TanR =24/7

CotR = 1/tanR = 7/24

Thus, All trigonometric ratios of triangle PQR were calculated.

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Answer:

x= 3/7

y=-13/7

Answer:

Step-by-step explanation:

The scale factor is 2

Answer:

25%

Step-by-step explanation:

Answer:

1.641× 10^-3 pounds/ cubic inch

Step-by-step explanation:

Density= mass / volume

Mass of the material= 9 kilograms

Volume= 7 cubic feet

Density= 9/7= 1.286 kg/ ft^3

Density= 1.286 kg/ ft^3

To Convert to pounds per inch

1 kg/ ft^3 = 0.00128 pound / cubic inch

1.286 kg/ ft^3 = X pounds/ cubic inch

X=( 1.286 × 0.00128)

= 0.0016407087 pounds/ cubic inch

= 1.641× 10^-3 pounds/ cubic inch

Hence,this density in pounds per inch is 1.641× 10^-3 pounds/ cubic inch

Answer:

18

Step-by-step explanation:

8+10=18

hope this helps :)

Answer:

18

Step-by-step explanation:

10+8=18.

Answer: x = 10

Step-by-step explanation: 4 times 250 is 1000 and divided by 100 is 10

Answer:

377 is your answer

Step-by-step explanation:

75.4 x 5 there is your answer

Corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

A unit circle is a circle with radius is equal to one.

Any point on a unit circle is of the form [tex]\boldsymbol{\left ( cos\, \theta, \sin\, \theta \right )}[/tex]

Value of [tex]\theta[/tex] is [tex]\boldsymbol{\frac{7\pi}{6}}[/tex]

So, corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]}[/tex]

[tex]\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]=\left [\cos \left (\pi + \frac{\pi}{6} \right ),\sin \left (\pi + \frac{\pi}{6} \right ) \right ][/tex]

                              [tex]=\left [ -cos\left ( \frac{\pi}{6} \right ),-\sin\left ( \frac{\pi}{6} \right ) \right ]\\=\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

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Answer:

5 + 2/3 = 5 remainder 6

Macie waters 5 plants. She uses [tex]\frac{2}{3}[/tex] cup of water for each plant. So, she uses 3.33 cups of water. This problem is based on the principle of multiplication.

The principle of multiplication states that a number when multiplied by another number results in a product of the two numbers. These two numbers on being multiplied give a unique number and that resultant number is said to be divisible by both numbers and their factors.

It is given that Macie waters 5 plants.

According to the question, she uses [tex]\frac{2}{3}[/tex] cup of water for each plant.

Total number of cups of water used by her [tex]= 5\times\frac{2}{3}[/tex]

                                                                        [tex]= \frac{10}{3}[/tex]

                                                                        [tex]= 3.33[/tex].

So, Macie uses 3.33 cups of water.

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Answer:

3/7 chance or a 42.8% chance

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

x =  −b +- √b²−4ac /2a

x =  −(−7) +- √(−7)²−4(5)(-18) /2(5)

x=  7 +- √409 /10

Answer:

I think it would be C

I'm not completely sure though!

Answer:

20. 1/2 and 5/7 so the chance would be 5/14 or 20.83

19. 5/7 and 1/2 so it's 5/14 or 20.83 again

18. 2/7 and 11/1 so it's a 22/7 chance or 3.14

Answer:

9%

Step-by-step explanation:

The computation of the discount in a percentage is shown below:

Purchased for $34

But instant she get discount and need to pay only $30.94

So, the discount in a percentage is

= ($34 - $30.94) ÷ ($34)

= 9%

Answer:

Step-by-step explanation:

Answer:

The average rate of change over the given interval is 12

Step-by-step explanation:

Here, we want to calculate the average rate of change over the given interval

Mathematically, we can calculate the average rate of change using the formula below;

f(b) - f(a)/b-a

The f values are same as the y values

Thus, we have it that;

a = 1 and b = 3

f(a) = -5 and f(b) = 19

The average rate of change is thus;

(19-(-5))/(3-1) = 24/2 = 12

Answer:

A

Step-by-step explanation:

Answer:

Its closer to B.

Step-by-step explanation:

19% is close to 20% which is 1/4 of 100%

Answer:

The real part of the quotient is 5.

The imaginary part of the quotient is –1.

The quotient is located in quadrant IV.

Step-by-step explanation:

The real part of the quotient is 5 for the expression (7 + 9)/(1 + 2):

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Simplifying the expression (7 + 9)/(1 + 2).

- Add 7 and 9 in the numerator to get 16.

- Add 1 and 2 in the denominator to get 3.

- Divide 16 by 3 to get 16/3.

Remember that a complex number is written in the form a + bi, where a is the real part and bi is the imaginary part.

So,

In the expression 16/3, the numerator 16 is the real part, and the denominator 3 is not imaginary.

Therefore,

The only applicable statement is "The real part of the quotient is 5."

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Answer:

235.5

Step-by-step explanation:

Volume of a cylinder is 3.14(or pi) times radius^2 (5) times the height (3)

3.14 x 5^2 x 3

3.14 x 25 x 3 = 235.5

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