Dale has written too many checks and his bank balance is –42.68. The bank will charge him an overdraft fee of $25. How much does he need to deposit so that his bank balance will be $50?

Answer:

6 units

Step-by-step explanation:

BC = BD/2 = 8

PB² + 8² = 10²

PB² = 100 - 64 = 36 ⇒ PB = 6 units

The length of PB = 6 units

Here, PB is the perpendicular bisector of AC and QC is the perpendicular bisector of BD.

AB = BC = CD

Given that BD = 16 and PC = 10

What is Pythagoras theorem?

Pythagoras theorem is well known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square of the hypotenuse.

Here, BD = 16 and AB = BC = CD

⇒ BC = BD/2 = 16/2 = 8

And, PC = 10

Now using Pythagoras theorem:

[tex]PC^{2} =PB^{2} + BC^{2}[/tex]

[tex]10^{2} =PB^{2} + 8^{2}[/tex]

[tex]PB^{2} + 64 = 100\\PB^{2} = 100 - 64\\PB^{2} = 36\\PB = \sqrt{36}\\PB = 6[/tex]

Hence the length of PB = 6 Units

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Answer:

6 were late taht is a step to help you

Step-by-step explanation:

1. AD and BC bisects each other at E

1. Given

2. ABE ≈DCE

2. Vertical Angles

3. ABE≈DCE

3. SAS postulate

Answer:

41

Step-by-step explanation:

2n²-6n+5

2(-3)²-6(-3)+5

2(9)+18+5

18+18+5

36+5

41

Answer:

true

Step-by-step explanation:

4/7 = 8/9

= 4*9/7*8

= 36/56

= 2*2*3*3/2*2*2*7

= 9/14

proved

Answer:

The required table will be

x       y

1        5

2       10

3       15

4       20

5       25

Step-by-step explanation:

We are given 2 patterns

Pattern x: Starting number: 1, Rule: add 1

Pattern y: Starting number: 5, Rule: add 5

We need to complete the table for given patterns

x       y

1        5

The second number for x according to pattern will be: we will add 1 to the previous number i.e 1+1 =2

The third number for x according to pattern will be: we will add 1 to the previous number i.e 2+1 =3

The second number for y according to pattern will be: we will add 5 to the previous number i.e 5+5 =10

The third number for y according to pattern will be: we will add 5 to the previous number i.e 10+5 =15

So, the required table will be

x       y

1        5

2       10

3       15

4       20

5       25

As we are not given how much we need to fill table. I am adding 4 values for x and y.

Answer:

1. isosceles 2. Scalene 3. Equilateral 4. Equilateral

Step-by-step explanation:

Answer: C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.

Step-by-step explanation: A 95% Confidence interval shows that there is a 95% confidence that the true parameter is between the lower and upper limits.

A CI is not a probability that the true parameter is in between the interval. The true parameter is either in the interval or not.

So, probability of falling between the limits is 0 (no chance of being in this interval) or 1 (100% possibility of being in this interval).

Then, "either μ is in the interval or it is not. therefore, the probability that μ is in this interval is 0 or 1." is correct.

Answer:ig so

Step-by-step explanation:34+10+100=144

12x12=144 same thing

Answer:

yes

Step-by-step explanation:

i guess

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

Answer:

79

Step-by-step explanation:

Answer:

12 m/s

Step-by-step explanation:

Speed= disntance/time

30/2.5= 12m/s

Answer:

y=6x+3

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

I think

Answer:

0.75 or something like that

Step-by-step explanation:

Answer:

y=3 x=8  (8,3)

Step-by-step explanation:

Answer:

If the slope is zero, then that means that 2 would be the y intercept, and it would be a straight horizontal line crossing through that point.

Step-by-step explanation:

Slope intercept form of the equation 4x + 5y = - 30 is written as,

⇒ y = - 4/5x - 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ 4x + 5y = - 30

Now, We know that;

Slope intercept form of the equation is,

⇒ y = mx + c

Here, The equation is,

⇒ 4x + 5y = - 30

Subtract 4x both side,

⇒ 4x + 5y - 4x = - 30 - 4x

⇒ 5y = - 4x - 30

Divide by 5 both side, we get;

⇒ y = - 4/5x - 6

Hence, The Slope intercept form of the equation is,

⇒ y = - 4/5x - 6

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Answer:

Its definitely 23$ is equally into 33$ and if its add it will be €23 and then you will add some randomly number and plus it to 23 and 13 is the answer thank me later

Answer:

25 movies

Step-by-step explanation:

First, create the monthly costs for both plans:

Plan A:

A = x + 32

Plan B:

B = 2x + 7

Set these two expressions equal to each other, and solve for x:

x + 32 = 2x + 7

32 = x + 7

25 = x

So, the two plans will have an equal monthly cost after 25 movies.

Answer:

25 movies watched

Step-by-step explanation:

Where x is movies watched

AA = 1x + 32

BB = 2x + 7

Answer: [tex](0.1481323,\ 0.2018677)[/tex]

Step-by-step explanation:

The confidence interval for population proportion :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical  z-value.

Let p = population proportion of successes.

Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]

Critical z value for 95% confidence = 1.96

The 95% confidence interval for a population proportion is:

[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]

Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]

Step-by-step explanation:

it indicates f(x) and g(x)

Answer:

3,3 is a placment in a graph

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

24% of 3500=840

15% of 840=126

Answer:

Step-by-step explanation:

İnside the root cannot be negative so x+7 at least equal to 0 so x is at least-7 so the answer is bigger or equal to -7

Answer:

the actual answer is y>=5 or b

Step-by-step explanation:

edge 2020

Answer:

108 ounces is equal to 6.75 pounds.

Step-by-step explanation:

Answer:

Your answer is: 6.75 pounds

108 ounces equal to about 7 pounds if you round.

Step-by-step explanation:

Hope this helped : )

Answer:

Step-by-step explanation:

2 3/4 ÷ 4 1/8

23/4×8/41

23×8/4×41

46/41

=1.122

So the answer is 1.122

The solution after divide 2 3/4 by 4 1/8 in fraction form is,

⇒ 2/3

We have to given that,

To divide 2 3/4 by 4 1/8.

Simplify it as,

2 3/4 ÷ 4 1/8

11/4 ÷ 33/8

11/4 x 8/33

(11 x 8) / (4x33)

2/3

Therefore, The solution after divide 2 3/4 by 4 1/8 in fraction form is,

⇒ 2/3

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Answer:

(c). 17

Step-by-step explanation:

f(g(x)) = 3( - 2x + 1 ) + 2 = - 6x + 5

f(g(- 2)) = - 6( - 2 ) + 5 = 17

Answer:

Step-by-step explanation:

get them some multiplication charts and use some examples like oreos or any type of cookies.

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped