Given
BAI BD
mZCBD = 40 +52
m ABC = 82 - 10°
Find mZCBD:
B
D

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Answer:

a

Step-by-step explanation:

I did it on a graph

also sorry about the comment earlier my page wasn't syncing

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

Answer: 12 fourths

Step-by-step explanation: I cant drawa picture but i would suggest drawing 3 squares and drw a cross across each to make 12 squares all together

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

Answer:

I think B as all the dots are near the line B

[tex]\mathtt{: )}[/tex]

Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

Answer:

ummmm

Step-by-step explanation:

Answer:

No 4: the triangle are similar by congruency SAS(side angle side)

No 5: this is also similar by SAS

No 6: this is similar by AAS ( angle angle side)

No 7: this is similar by RHS ( right angle hypotenuse one side )

No 8: this pair of triangles are not similar

No 9: this is similar by SAS

No 10: this pair of triangles are similar by SAS ( side side side)

No 11: this triangle is similar by SSS

No 12: this triangle is similar by SSS

Answer:

23.8

Step-by-step explanation:

x/340= 7%/100%

340*7= 2380

2380/100 =23.8

Answer:

7

___ x 340 = 23.8

100

Using the keywords:

Of means multiplication

Consider a percent out of 100

A way to remember is that, cent means 100.

Brainliest appreciated!

Answer:

D 53 is the answer I just took the test

Answer: 53

Step-by-step explanation: taking the test

Answer:

C: 120x+92y<1,300

Step-by-step explanation:

Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.

Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y

The total cost of the band is DJ playing is thus 120x + 92y.

Since we require this to be under $1,300, we us the less than sign '<' to show the relation.

So, 120x + 92y < 1300

So, the answer is C

Answer:

476 ÷ 17 = 28

Step-by-step explanation:

$17 an hour is multiplication. so, just do the opposite.

476 ÷ 17.

~R3V0

Answer:

3 people

Step-by-step explanation:

If 20 people each bring 3 food dishes to an awards banquet, the total amount of food brought will be (20 * 3) = 60foods

If the dishes are shared equally by 180 people at the banquet, then;

60foods = 180 people

1 food = x

Cross multiply

60* x = 180

60x = 180

x =180/60

x = 3

Hence 3 people will share 1 dish

Answer:

2x+4y=22

-2x+2y=+8

6y=30

y=5

now

replace the value of y in equ i

2x +4y =22

2x+20=22

x=1

Answer: x = 1 y= 5

Step-by-step explanation:

2x + 4y = 22 -

2x - 2y = -8

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

0+6y = 30

Y= 30/6= 5

Substituting,

2x+ 4*5= 22

2x+ 20 = 22

2x= 22-20 = 2

X=2/2=1

I think I know this one.

Answer: V = 600 unit 2

Step-by-step explanation:

We have that

the volume of the rectangular pyramid is

V = (1/3) BH

where

B is the area of the rectangular face

H is the height of the pyramid

step 1

Find out B

B = (15)(10) unit 2

step 2

Find the volume

B = 150 unit 2

H = 12 unit

substitute

V = (1/3)(150)(12)

V = 600 unit 2

I hope this help you! :)

Answer:

18

Step-by-step explanation:

We will try to find the angle on the left side of the small triangle. So we have to use Tan.

SOHCAHTOA

TanФ = 12/8

[tex]Tan^{-1}[/tex] = 12/8   = 56.31°

So the other one is 33.69°  It's the top left one of the smaller triangle.

The top right side of the bigger triangle is 56.31 because they both add up to make 90°

Now that we have an angle of the bigger triangle we will find the x.

Tan 56.31 = x/12

x = 18

Theres probably a easier way but i dunno

Answer: $2.94

Step-by-step explanation:

You do 0.07 x 42

Answer:

The answer is b.Look below for details.

Step-by-step explanation:

Question no 1. The sequence has the common difference of 14.

t1=7

t2=21

t3=35

We have

tn=a+(n-1)d

=7+(n-1)14

=7+14n-14

=14n-7(Its not our answer)

Lets try b.

The common difference is 2 in this sequence.

t1=7

t2=9

t3=11

t4=13

We have

tn=7+(n-1)2

=7+2n-2

=2n+5(Its is our answer.) Got it.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls....

Follow me! ;)

Answer:

B

Step-by-step explanation:

Subtracting 3 from the product of 8 and 5 means that the 8 and 5 need to be multiplied first.

Brackets, in the order of operations, come before other operators, other than square root, square, and the like. In general, multiplication and division would be done before subtraction, so the bracket goes over 5 x 8 and not 8 - 3.

Answer:

This is irrational. Pretty much anything with pi is irrational.

Step-by-step explanation:

Pi is irrational, so this irrational as well.

Answer:

The number π is an irrational number, so it cannot be expressed as a fraction. Since π is irrational, it follows that π/2 is also irrational.

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

Answer:

45

Step-by-step explanation:

We have the equation 2x² + 6x + 9 and are asked to find the value when x =3.

To solve this, all we need to do is substitute all variables with "x" to 3. Then do the properties :

2x² + 6x + 9

2(3)² + 6(3) + 9

Do exponents first :

2(9) + 6(3) + 9

Now multiply the numbers with parenthesis next to them :

18 + 18 + 9

Add to get the answer :

45

Answer:

27

Step-by-step explanation:

We have the equation:

2x^2+6x-9

If x = 3, we can substitute 3 in for the x values.

We get the equation:

2([tex]3^{2}[/tex]) + 6(3) - 9

Using PEMDAS:

First, evaluate the power.

3^2 = 9

Then, multiply the numbers.

2 x 9 + 6 x 3 - 9

We get:

18 + 18 - 9

Simplify.

18 + 18 = 36

36 - 9 = 27

Hope this helps.

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554