The population of deer in a forest was measured to be 1938 in the year 2010. If the population increased by a steady 4% a year which of the following calculations would predict its population in 2013

Answer: 116°

Step-by-step explanation:

The measure of arc AD is 116 degrees and it can be determined by using the properties of a circle.

Given that,

Angle ABD measures (4x + 10).

Angle ACD measures (5x − 2).

Circle E is shown.

Angles ABD and ACD intercept arc AD.

Angles BAC and BDC intercept arc BC.

We have to determine,

What is the measure of arc AD?

According to the question,

Angle ABD measures (4x + 10).

Angle ACD measures (5x − 2).

Circle E is shown.

Angles ABD and ACD intercept arc AD.

Angles BAC and BDC intercept arc BC.

In the given condition, Angle ABD and Angle ACD have inscribed angles, intercepting the same arc then by the intercept arc property.

Angle ABD = Angle ACD

[tex]\rm 4x+10 = 5x-2\\\\4x-5x = -2-10\\\\-x = -12\\\\x=12[/tex]

The value of x is 12.

Therefore,

The measure of arc AD is,

[tex]\rm Arc \ AD =A ngle \ ABD + Angle \ ACD\\\\Arc \ AD = (4x+10) + (5x-2)[/tex]

Substitute the value of x,

[tex]\rm Arc \ AD = (4x+10) + (5x-2)\\\\Arc \ AD = 4(12) +10+5(12) -2\\\\Arc \ AD = 48+10+60-2\\\\Arc \ AD = 116 \ degree[/tex]

Hence, the measure of arc AD is 116 degrees.

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Answer:option c

Step-by-step explanation:

An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

So the correct answer is option c. It is an isosceles right triangle.

Since the two sides are equal it makes the corresponding angle congruent. Thus, in an isosceles right triangle two sides are congruent and the corresponding angles will be 45 degree each which sums to 90 degree. So the sum of three angles of the triangle will be 180 degrees.

The area of the isosceles right triangle follows the general formula of the area of a triangle that is (1/2) × Base × Height. In ∆QPR shown above with side lengths PQ = QR = x where PQ represents the height and QR represents the base, the area of isosceles right triangle formula is given by 1/2 × PQ × QR = x2/2 square units.

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Answer:( 8, 6)

Step-by-step explanation:

After rotating the point (-6,8) 90° clockwise about the origin, the new position of the point will be (8,6).

When a point is rotated 90° clockwise about the origin in a two-dimensional Cartesian coordinate system, the new position of the point can be calculated by changing the sign on the y-coordinate and swapping the order of the x and y-coordinates. For your specific question, we are given the point (-6,8). So, the new position of the point after the rotation would be (8,6). This is because rotations in a clockwise direction can be considered as negative in mathematics, and portions rotate around the origin following the right-hand rule.

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The number of boys in the schools is 104.

Step-by-step explanation:

Given,

The ratio of boys and girls is 8:9

Number of girls = 117

Let us take,

Number of boys = 8x

Number of girls = 9x

To find the number of boys.

According to the problem,

9x = 117

or, x = [tex]\frac{117}{9}[/tex]

= 13

Hence, the number of boys = 13×8 = 104

You have the right equation.

p(x) = 0.586041x - 3,200,000

3200000 of course represents the deduction from the loan

0.586041 - this number represents the amount of money left after taxes (58.6041% of the total is left)

We get this by taking into account all the taxes on top of another...

35% federal tax = 65% left

35% federal tax and 8% state tax = 65% x 92% left

35% federal tax and 8% state tax and 2% local tax = 65% x 92% x 98% left = 58.6041%

To get the profit plug in the given taxable income for x.

p(6775989) = 0.586041(6775989) - 3,200,000 = $771,007.37 approx.

answer: $771,007.37 approx.

Answer:

the answer is B

Step-by-step explanation:

you subtract 9/5 on both sides, find the common denominator which in this case would be 10. so 35-18 is 17. turn that into a mixed fraction and you get 1 and 7/10

Answer:

x=0 and x=sqrt(3/2)i

Step-by-step explanation:

3x^2(2x^2+3)=0

Make into two equations due to Zero Product Property:

3x^2=0 and 2x^2+3=0

x^2=0             2x^2=-3

x=0                  x^2=-3/2

                         x=sqrt(3/2)i

Step-by-step explanation:

[tex](7 + x) + 7x \\ = 7 + x + 7x \\ = 7 + (x + 7x) \\ = 7 + 8x \\ = 8x + 7[/tex]

Answer:

The answer is 19

Step-by-step explanation:

Answer:so easy its 19 it's right i promise you

Answer:

12

Step-by-step explanation:

42+6=48

48/4=12

Answer:

feet

Step-by-step explanation:

Answer:

Option  D. 7°C

Step-by-step explanation:

Let the temperature in Fahrenheit (F) and the temperature in Celsius(C)

The formula to convert Fahrenheit to Celsius is ⇒ F = 1.8 C + 32

So, to Convert 45° F to Celsius, substitute with with 45° F

45 = 1.8 C + 32

Solve for C

1.8 C = 45 - 32

1.8 C = 13

C = 13/1.8 = 7.222

Rounding to the nearest degree ⇒ 45° F = 7° C

The answer is option  D. 7°C

Answer:

42

Step-by-step explanation:

I think it's 42 because 42/-6 is -7

Answer:

z = 42

Step-by-step explanation:

Given -7 = z/-6

Cross multiply

-7 x -6 = z

Negative times negative gives you positive.

42 = z

z = 42

Answer: £164.50

175 decreased by 6% = 164.5

Absolute change (actual difference):

164.5 - 175 = - 10.5

Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

(1 - 6%) × 175 =

(100% - 6%) × 175 =

94% × 175 =

94 ÷ 100 × 175 =

94 × 175 ÷ 100 =

16,450 ÷ 100 =

164.5

£164.50

Answer: £164.5

Step-by-step explanation:

Given ticket cost at = £175

6 percent decrease = 6/100 × £175

=£10.5

To get the Current cost of ticket, we then subtract 6% decrease from the former cost of ticket:

= £175 - £10.5

=£164.5

I hope this helps.

Answer:

a=5 and b=3

Step-by-step explanation:

a+b=8

okay, so the numbers that can make 8 are 4+4, 5+3, 6+2, and 7+1

Try 5+3

so plug them in

5+3=8

5*5=25

3*3=9

25-9=16

that's your answer

Answer: option is C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when you plug in 2,11

11 = 3*2 +5 that is correct

13 = 3*3 +5 that is not correct

only 2,11 works

Answer:

A. only (2,11)

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

1/2*36=18

Therefore, $18

Answer:$18

Step-by-step explanation:

50% of 36

50/100 x 36

1/2 x 36=36/2=18

Answer:

D. 3 x 9/5

Step-by-step explanation:

The expression that has the same value as 3 ÷ 5/9 is 13 ÷ 5/9.

The expression that has the same value as 3 ÷ 5/9 is option B. 13 ÷ 5/9.

To divide by a fraction, we multiply by its reciprocal. In this case, we can find the reciprocal of 5/9, which is 9/5. So, we have 3 ÷ 5/9 = 3 × 9/5 = 27/5.

Option B, 13 ÷ 5/9, is equivalent to 13 × 9/5 = 117/5, which is equal to 27/5. Therefore, option B has the same value as 3 ÷ 5/9.

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Answer:

40 passes

Step-by-step explanation:

we know that

Bobby catches 8 passes in 3 football games

so

using proportion

Find out how many passes does he  catch in 15 games

[tex]\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes[/tex]

Answer: 40 passes

Step-by-step explanation:

Hi, to answer this we have to use proportions:

Proportion = Passes catched/ football games

Bobby catches 8 passes in 3 football games: 8/3

For 15 games: x/15

8 /3 = x/15

Solving for x

(8/3)15 =x

40 = x

He catches 40 passes in 15 games.

Feel free to ask for more if needed or if you did not understand something.

Answer: w= -9

Step-by-step explanation:

Set up an equation, 5 times a number is 5w, and 35 more, means plus 35. All of this is equal to -10, so the equation will be:

5w+35=-10

Subtract 35 from both sides

5w=-45

Divide by 5 on both sides

w= -9

Hope this helped!

Answer:

You count 18 places to the right of 27.

Step-by-step explanation:

To the right of a point, the numbers are increasing, therefore you have to go to the right 18 of 27.

The modeling 18 more than 27 on the number line should be explained below.

A line on which numbers are mentioned at intervals and the same is considered for doing simple numerical operations. Here we have to count 18 places to the right of 27. In this, the positive number, as well as the negative numbers, are mentioned. It could be in any kind of direction, mainly it should be in the horizontal direction.

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Answer:

16

Step-by-step explanation:

because 5.5 is 22 laps and you do 22-6=16.

Answer:

A :  Per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.

B:   The probability is 1/4

Step-by-step explanation:

The estimated chance of a customer making a purchase  = 74%

So, if a TOTAL of 100 people visit the grocery store on any random day,

then 74 % of customers  

= 74% of 100

= 74 people will make purchases.

⇒ Out of total 100 people visiting, 74 people  will make a purchase.

So, the number of people NOT making a purchase = 100 - 74 = 26

⇒ Out of total 100 people visiting, 26 people  will NOT make a purchase.

Also, 26 = 26% of 100

Part A :

So, in order to make a purchase, cashier should expect 26% of customers because the percentage of NOT purchasing is 26%.

Hence, per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.

Part B :

The percentage of customer making a purchase = 74%

The percentage of people NOT making a purchase  = 26%

So, for every 3 customer making a purchase there is a 1 person NOT making  a purchase.

So, the probability is 1/4

Part A) 

1.35 customers until the cashier should expect to find a customer that makes a purchase.

1 ➗ 0.74 = 1.35

Part B)

0.013 is the probability that the cashier helps 3 customers until he finds the first person to make a purchase.

(1 - 0.74)3 x 0.74 = 0.013

Two numbers multiply into (-24) and adds up to (-10) are 2 & -12

Step-by-step explanation:

Here we need to find two numbers , with the following info:

Let us assume that two numbers are x & y .

two numbers multiply into (-24):

Two numbers are x and y , and there multiply is -24 i.e.

⇒ [tex]x(y) = -24[/tex]

two numbers adds up to (-10):

Two numbers are x and y , and there addition is -10 i.e.

⇒ [tex]x+y = -10[/tex] . .............. (1)

Let's solve this :

We know that , [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]

⇒ [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]

⇒ [tex](-10)^2 = x^2 +y^2 +2(-24)[/tex]

⇒ [tex]100 = x^2 +y^2 -48[/tex]

⇒ [tex]x^2 +y^2 =148[/tex]

Now,

⇒ [tex](x-y)^2 = x^2 +y^2 -2xy[/tex]

⇒ [tex](x-y)^2 = (148) -2(-24)[/tex]

⇒ [tex](x-y)^2 = (148) +48=196 = 14^2[/tex]

⇒ [tex]x-y = 14[/tex]     .......... (2)

Let's solve equation 1 & 2 by adding (1)+(2):

⇒ [tex](x+y)+(x-y) = -10 +14[/tex]

⇒ [tex]2x=4[/tex]

⇒ [tex]x=2[/tex]

Putting value of [tex]x=2[/tex] in [tex]x-y = 14[/tex] :

⇒ [tex]2-y = 14[/tex]

⇒ [tex]y = -12[/tex]

Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.

Step-by-step explanation:

y+4= 4(x-3)

y+4 =4x- 12

4x-12 -y -4=0

4x-y -16=0

4x-y=16

Answer:

No, because the end of the number is 8 and numbers divisible by 5 has to end in 0 or 5.

Answer:

No

Step-by-step explanation:

9,056,198 is not divisible by 5.

Being divisible means that the number can be divided by the other without there being any decimals. Meaning it has to divide into a whole number in order to be divisible.

An easy way to see if anything is divisible by 5 is to see if the last number is either a 0 (for example 10 or 20) or if the last number is a five (for example 15 or 25)

Answer:

Step-by-step explanation:

So you would do x as other ages, 3 as well obviously 3.

x < 3

THE < WILL HAVE A LINE UNDER IT!

The line stands for less than or EQUAL to. In this case, you have to be 3 or younger. Do not forget the line under the <. I am unable to type it!

The question is about writing an inequality to represent the ages of children who can enter an amusement park for free. The correct mathematical expression according to the given scenario is 'age ≤ 3'.

The subject of the question deals with the practical application of inequalities in a real-world context. In this case, the inequality would represent the ages at which children could enter an amusement park for free. According to the amusement park policy, children ages 3 and under are free. In mathematical terms, this can be expressed as 'age ≤ 3'. The symbol '≤' represents 'less than or equal to', indicating that the age could be any number less than or equal to 3.

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Answer:y= -5

Step-by-step explanation:

-3(3)+4= -5

-3(3)= -9

-9 + 4= -5

Answer:

-5

Step-by-step explanation:

y = -3x + 4

If x = 3

Plug the value into the expression

We have

y = -3(3) + 4

= -9 + 4

= -5