Pythagoras theorems
Question 7

Answer:

not sure i it is one of these answers but if so , it d

Step-by-step explanation:

When performing division by repeated subtraction method, an equal

amount is subtracted from the dividend several times.

The best choice for the first number to subtract is the the option; 870

Reasons:

Dividing 956 by 87 and subtracting 10 each time, by subtracting 10 87 times gives;

956 - 87 × 10¹ = 86

From which we get;

The 870 which is the part product is subtracted first to get a remainder of

86 which is less than 87.

Therefore; using powers of 10, the best choice for the first number to

subtract in the division problem 956 ÷ 87 is 87 × 10 = 870.

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Answer:

Step-by-step explanation:

Distributive property, subtraction, division

4(2x + 3) = 10x

8x + 12 = 10x

12 = 2x

6 = x

Answer:

-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3

I hope it will be useful.

Answer:

It's B trust

Step-by-step explanation:

The required balance at the beginning of April is $796.87. Option C is correct.

Simple interest is defined as the percentage of earnings on the lending for a period of time

To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.

Let's call Ruth's balance at the beginning of May "B".

We know that during the April billing cycle:

She made a $45.17 payment on April 10th

She made a $88.34 purchase on April 17th

The APR is 10.91%

So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)

Solving for B, we get:

B = $796.87

So, the answer is C. $796.87.

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Answer:

All the work and answer is on the screenshot I have attached.

Step-by-step explanation:

Answer:

B dilation

Step-by-step explanation:

the shape didnt move but it got bigger

Answer:

4

Step-by-step explanation:

32+20=52

8+5=13

52/13=4

Answer: A. 279936 sequences.

B. 2187 sequence.

C. 7776 sequence.

D. 46656 sequence

E. 64 sequence.

Step-by-step explanation:

Given data:

A 6 sided fair die

No of time rolled = 7

Resulting sequence recorded = 7.

Solution.

A.) No of different possible sequence

= 6^7

= 279936 sequences.

B.) Sequence consisting of only even number

= there are 3 even numbers between 1 and 7 ( 2,4,6).

= 3^7

= 2187 sequence.

C.) possible sequences are when the first, third, and fourth numbers must be the same.

= 6* 6 ^n

where n = 4

= 6*6^4

= 7776 sequence.

D.) sequence when every number is different.

There are 6 sides of a die, so when every number is different it is.

= 6^6

= 46656 sequence

E.) sequence when atleast there are two numbers that are the same.

= 2^6

= 64 sequence.

Answer:

A) Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  The odds ratio shows that  BP is directly proportional to Dietary cholesterol

Step-by-step explanation:

A) estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol

Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) Compute an estimate of the odds ratio of high blood pressure for the two groups

High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

The odds ratio shows that  BP is directly proportional to Dietary cholesterol as seen in the the odds ratio that ratio between High BP and High Dietary cholesterol is higher than other odds ratios

Answer:

8x+36

Step-by-step explanation:

Hi, let me help you out!

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

In order to simplify this, we should use the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

According to the property,

[tex]\longrightarrow\tt{4(2x+9)=8x+36}[/tex]

I hope it helps you! Have an awesome day!

If you need any explanation or clarification, feel free to reach out! :D

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

Answer:

470.59x₁ + 329,41x₂ = $437.65

Step-by-step explanation:

minimize: 0.30x₁ + 0.90x₂

where:

x₁ = pounds of corn

x₂ = pounds of soybean

constraints:

x₁ + x₂ ≥ 800

0.09x₁ + 0.60x₂ ≥ 0.30(800) ⇒ 0.09x₁ + 0.60x₂ ≥ 240

0.02x₁ + 0.06x₂ ≤ 0.05(800) ⇒ 0.02x₁ + 0.06x₂ ≤ 40

x₁ ≥ 0

x₂ ≥ 0

the optimal solution is: 470.59x₁ + 329,41x₂ = $437.65

Answer:

Step-by-step explanation:

Area of the right angles triangle will be expressed as;

Area of a triangle = 1/2base * height

Let the height of the triangle be 15 units

Get the base;

The base will be the adjacent;

Using the TOA trig identity;

tan 55 = opp/adj

tan 55 = 15/adj

adj = 15/tan 55

adj = 15/7.42

adj = 2.022 units

Area of the triangle = 1/2 * 15 * 2.022

Area of the triangle  = 15 * 1.011

Area of the triangle = 15.165units²

Answer:

2550

Step-by-step explanation:

Hope This Helps

Answer:

2550

Step-by-step explanation:

Answer:

The answer is "[tex]=24x+ \frac{28800}{x}+20[/tex]"

Step-by-step explanation:

The perimeter of the fence [tex]=2x+y[/tex]

cost of fence[tex]=12(2x+y)[/tex]

cost of corner ports[tex]= 4 \times 5=20[/tex]

cost of pen[tex]= 24x+12y+80.............(1)[/tex]

area of pen[tex]=2400[/tex]

[tex]xy=2400\\\\y=\frac{2400}{x}[/tex]

cost c(x)[tex]=24x+ \frac{12 \times 2400}{x}+20[/tex]

             [tex]=24x+ \frac{28800}{x}+20[/tex]

Answer:

fire

Step-by-step explanation:

if you give fire food or fuel it will still be alive

but if you give it water it will go out

PLZ GIVE BRAINLEST

Answer:

The answer is a fire because if you put water on a fire, it will die out, but if you put stuff in the fire it will live on.

Answer:

c. 61.25 kg

Step-by-step explanation:

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.

a. 15.31 kg

b. 51.40 kg

c. 61.25 kg

d. 80.49 kg

Margin of Error Formula= z × Standard deviation/√n

95% confidence interval = 1.96

Standard deviation = 125kg

n = 16 samples

Margin of error= 1.96 × 125/√16

= 1.96 × 125/4

= 245/4

= 61.25kg

The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean is 61.25kg

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:

Total pay= $599.25

Step-by-step explanation:

First, we need to calculate the unitary pay per hour:

Unitary pay= 498.75/35

Unitary pay= $14.25

Now, we can determine the total earn of 35 regular hours and 6 weekend hours:

Total pay= 498.75 + (14.25 + 2.5)*6

Total pay= 498.75 + 100.5

Total pay= $599.25

Answer:

32/27

Step-by-step explanation:

The fractional division is draculated as follows:

(a/b) / (c/d) = (a*d) / (b*c)

then:

(8/9) / (3/4) = (8*4) / (9*3) = 32/27

Answer:

Step-by-step explanation:

∠a is corresponding to  ∠f

∠b is alternate interior angle to ∠e

∠g is alternate exterior to ∠d

∠f is vertical to ∠h

∠b is consecutive( same side) interior with ∠f

Answer:

70 degrees

Step-by-step explanation:

180-120=60

180-(60+50)=70

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Answer:

(a) An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

(b) The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Step-by-step explanation:

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)=aˣ

being a real positive.

When 0 <a <1, then the exponential function is a decreasing function and when a> 1, it is an increasing function.

An exponential function allows us to refer to phenomena that grow faster and faster, such as population growth.

In that case, the formula used to model the growth of a population is given by:

P(t)=P0*[tex]a^{t}[/tex]

where the function P (t) grows exponentially and represents the quantity of the population at time t; a represents the constant of growth or decrease and P0 represents the initial population at time zero.

In this case:

Replacing, you get:

P(t)=700*[tex]3^{t}[/tex]

An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

The derivative of this function P (t) is:

n'(t)=700*ln(3)*[tex]3^{t}[/tex]

and reflects the growth rate of the bacteria population.

So, the rate of growth of the bacteria population after 1.5 hours is:

n(1.5)=700*ln(3)*[tex]3^{1.5}[/tex]

Solving, you get:

n(1.5)≅ 3,996

The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Answer:

about 5.22hrs

Step-by-step explanation:

cross multiply

120.45          ?

15.67         40.15

120.45*40.15

=629.1505

629.1505/15.67

=5.2233333...

Answer:

24

Step-by-step explanation: