What would be the corresponding angles ( similar figures ). Any help with this question will be gladly appreciated . Thank you

Using linear function concepts, it is found that the true statements are as follows:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:

P(t) = 2,376t + 73,219.

For biology, it is given by:

B(t) = 2,414t + 56, 545

Hence, the correct statements are:

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Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:

Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.

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Answer:

32/4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

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Answer:

Is a solution

Step-by-step explanation:

Just do the division [tex]\frac{52}{13}[/tex]

Answer:

0.15 or 3.05

Step-by-step explanation:

3*(5/100) = 15/100 = 3/20 = 0.15

or

3 5/100 = 305/100 = 61/20 = 3.05

dependiendo de lo que esté tratando de encontrar

lo siento si mi español es malo

espero que esto ayude

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the mean:

Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.

Solution:

Thus,

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Therefore, the mean is 11.

~lenvy~

Answer:

Step-by-step explanation:

just put them in order from least to greatest then find the middle number

Answer:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

[tex]\sf 3.78\times 10^{4}[/tex]

Step-by-step explanation:

Scientific notation:  [tex]\sf a \times 10^b[/tex]

(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)

Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:

[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]

Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]

                   [tex]\sf =0.378\times 10^{5}[/tex]

                   [tex]\sf =3.78\times 10^{4}[/tex]

(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)

Answer: 19.66 people/km^2, A

Step-by-step explanation:

The population density will be equal to 82.96 people/km2.

The correct option is B.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

here, we have,

Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.

The population density will be calculated as below:-

Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )

Density =19.66

Density = 19.66 people/km²

Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.

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Answer:

a ground fault circuit interrupted

Answer:

By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491

Answer:

cos(π/6)= radical 3 over 2 sin(π/6) = 1/2

Step-by-step explanation:

In the unit circle the coordinates of the point for the particular angle can be expressed by cos(x) for the x value and sin(x) for the y value. For π/6, the point's x value is radical 3 over 2 as expressed by cos(π/6) and the y value is 1/2 as expressed by sin(π/6)

Answer:

From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."

Step-by-step explanation

Im sorry if none of these answers are correct.

The partitions involves dividing the line into subsegments

The coordinate of the point on the directed line segment is (0.5,-2)

The given parameters are:-

line segment = (-1, -1) to (5,-5)

Segment ratio = 1 : 3

The coordinates of the partition is calculated as:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]

Substitute known values

[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]

Evaluate the products

[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]

Evaluate the quotients

[tex](x,y) = (0.5,-2)[/tex]

Hence, the coordinate of the partition is (x,y) = (0.5,-2)

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Answer:

432 ft.

Step-by-step explanation:

Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)

Answer:

C is the correct answer hope i helped

Step-by-step explanation:

Answer:

[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]

Step-by-step explanation:

Use implicit differentiation:

[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

Answer:

it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost

Answer:

If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.

Step-by-step explanation:

Hope this helps! :)

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Answer:

980

Step-by-step explanation:

[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]

Answer:

21

Step-by-step explanation:

Answer:

its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Assuming you're hoping to solve the inequality for x, x > 29

Step-by-step explanation:

When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.

The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let p represent the population of the bacteria after d days.

[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]

b) 24 hours = 1 day, hence:

[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

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Answer:

0.60x + ((x+2)(2)) = total cost

Step-by-step explanation:

The pencils = 60 cents

0.60x = (0.60, the money, multiplied by x number of pencils)

The pens = 2 dollars

2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)

Answer:

($2.60x + $4  = TC(x)

Step-by-step explanation:'

The number of pens bought would be x + 2, where x is the number of pencils bought.  Then:

Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4  = TC(x)

Answer:

20sq in

Step-by-step explanation:

h x b / 2

20 x 2 / 2

40/2

20

Answer:

pls send the image along with it. So it can be solved

Answer:

55

Step-by-step explanation:

Area=LxW

so, Area=11x5

=55

Answeri think its 55

Step-by-step explanation:

you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff

C = pi x d

C = 3,14 x 18 = 56,52 m

Answer:

The answer is 56.57

thank you

Answer:

2

Step-by-step explanation:

gradient =y² -y¹ /x²-x¹

=9-1/2--2

=8/4

=2

Answer:

y = 2x + 5

Step-by-step explanation:

There are 2 ways to find this equation:

The first way:  We have: y = ax + b (this is the line, right?)

The line is through the point (-2, 1) so we have:

1 = (-2)a + b      (1)

The line is also through the point (2, 9) so we have:

9 = 2a + b.       (2)

From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5

The second way:

Let A(-2, 1) and B(2, 9), then AB = (4, 8).

=> The normal vector of this line is n = (-2, 1).

The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:

[tex]-2(x - 2) + 1(y - 9) = 0[/tex]

[tex]-2x + y - 5 =0\\ < = > y = 2x + 5[/tex]