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Answer:

[tex]31 \frac{4}{15}[/tex]

Step-by-step explanation:

(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )

[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]

= [tex]\frac{938}{30}[/tex]

Simplify: Divide by 2

[tex]\frac{469}{15}[/tex] || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

[tex]31\frac{4}{15}[/tex]

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

Answer:

Angle CFD = 30°

Step-by-step explanation:

HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME

Answer:

1/2

Step-by-step explanation:

Sin 30 degree equals to the fractional value of 1/ 2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.

Answer:Sin 30=1/2

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Luckily, we don't need to use the distance formula as we just need to find the distance between the x-coordinates. Thus, |4-9| = |-5| = 5, which means that the distance between (4,-3) and (9,-3) is 5 units

Answer:

5

Step-by-step explanation:

Point (4, -3) and point (9, -3) have the same y-coordinate of -3.  Therefore, both points are on the line y = -3.

Any line that is y = {number} is a horizontal line.

Therefore, to find the distance between the points, find the difference between the x-values:

9 - 4 = 5

Therefore, the distance between (4, −3) and (9, −3) is 5

Answer:

Step-by-step explanation:

MC = MD = 1/2CD and EN = FN = 1/2EF

OC = √OM² + MC²

= √64 + 225

= √289

= 17 (a)

FN = √OP² - ON²

= √289 - 64

= √225

= 15 (b)

EF = 2 x FN

= 2 x 15

= 30 (c)

Solution:

Step-1: Plot the points on the graph.

~Graph attached

Step-2: Find the distance by counting

We can see that (-9,6) is 9 units to the left of the origin and 10 units further to reach (10, 6).

Answer:

B= 25°

A=138° /139°

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Answer:

19

Step-by-step explanation:

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Let x represent the number of peanuts and y represent the number of cashew nuts.

She must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts. Hence:

x ≥ 10, y ≥5

Also:

x + y ≤ 60

And:

4x + 8y ≥ 200

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

Find out more on inequality at: https://brainly.com/question/24372553

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

To get more about standard normal distribution visit:

https://brainly.com/question/6758792

Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

Answer:

Slope is -0.6, hope this helps

Step-by-step explanation:

answer is provided in picture

Answer:

1808.48 centimeters long

Answer:

1808.48 cm

Step-by-step explanation:

the conversion from inches to cm is 2.54cm per inch

with that in mind,

take the 712 inch pencil and multiply it by 2.54 cm to convert it

leading to

712 * 2.54 = 1808.48 cm long.

Answer:

The answer is D

Step-by-step explanation:

There you go!!

Answer:

9

Step-by-step explanation:

Answer: a>0.6

Step-by-step explanation:

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

Answer:

50

Step-by-step explanation:

SCT,SCB,SCE,SBT, SBBR, SBE,SPT,SPB,SPE

PCT,PCB,PCE,PBT,PBBR, PBE, PPO,T,PPOB,PPOE

MCT,MCB,MCE,MBT,MBBR,MBE,MPT,MPB,MPE

THIS is in abrieviations.

Answer:

3 minutes 26 seconds

Step-by-step explanation:

rate x time in Distance problems, and W = rate x time in work problems. The Work is generally 1, the whole job.

For Peter the formula is 1 (lawn mowed) = 1/6 lawn per minute x 6 minutes.

For the son the formula is 1 = 1/8 * 8.

Add their rates together, 1/8 + 1/6 = 3/24 + 4/24 = 7/24.

The equation for their rate working together is 1 = 7/24 * t

Divide both sides by 7/24 to find t. t = 1 / 7/24 = 1 * 24/7 = 24/7 = 3 and 3/7 minutes = approx. 3 minutes 26 seconds.

Step-by-step explanation:

when counting the events we see, he did

22+19+20+18+21 = 100 experiments.

and he got in 20 cases out of the possible 100 a purple marble.

that means the observed probability to pull a purple marble is 20/100 = 1/5.

now he does 25 more pulls.

each with the probity of 1/5 to pull a purple marble.

so, he should expect to pull a purple marble 25×1/5 = 5 times.

Answer:

x= 8 y= -4

Step-by-step explanation:2x=16 divide 2 on both, x=8, plug in 8 for x, -1x8-3y=4 will become = -8-3y=4 add 8 on both sides and divide by -3 the answer will be -4

Answer:

Step-by-step explanation:-

-1x - 3y = 4 (eqn 1)

2x = 16 (eqn 2)

from eqn 2

2x = 16

x = 16/2

x = 8

Substitute x = 8 into eqn 1

-1(8) - 3y = 4

-8 - 3y = 4

-3y = 4 + 8

-3y = 12

y = 12/-3

y = -4

therefore, x = 8 and  y = -4

Answer:

it would be 800-300 =500.

Answer:

11.20

Step-by-step explanation:

I did this by first doing 5 x 5 x 5 which got me 125. Then I took 1400/125 to get 11.2. However you said round to the nearest hundredth which would be 11.20

Answer:

[tex]\displaystyle f'(x) = -12x^2 + 4x[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Calculus

Limits

Differentiation

The definition of a derivative is the slope of the tangent line:                       [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = -4x^3 + 2x^2[/tex]

Step 2: Differentiate

∴ the derivative of the given function will be equal to -12x² + 4x.

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Learn more about derivatives: https://brainly.com/question/25804880

Learn more about calculus: https://brainly.com/question/23558817

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

[tex]a_{n}[/tex] = - 4n - 10

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = - 42 and a₁₆ = - 74 , then

a₁ + 7d = - 42 → (1)

a₁ + 15d = - 74 → (2)

subtract (1) from (2) term by term to eliminate a₁

8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )

d = - 4

substitute d = - 4 into (1) and solve for a₁

a₁ + 7(- 4) = - 42

a₁ - 28 = - 42 ( add 28 to both sides )

a₁ = - 14

Then

[tex]a_{n}[/tex] = - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10

Answer:

[tex]a_{n}=-10-4n[/tex]

Step-by-step explanation

[tex]a_{n}=a_{1}+(n-1)d\\Given:a_{8}=-42\\&a_{16}=-74\\Hence: \\a_{8}=a_{1}+7d=-42 (1)a_{16}=a_{1}+15d=-74 (2)\\ \left \{ {{a_{1}+7d=-42} \atop a_{1}+15=-74}} \right. \\(2)-(1):8d=-32\\ d=-32/8 =-4\\Substitute :d=-4 in equation (1)"\\-42=a_{1}+7(-4)\\-42=a_{1}-28\\a_{1}=-14\\Hence:\\a_{n}=-14-(n-1)4\\a_{n}=-14-4n+4\\a_{n}=-10-4n[/tex]

Answer:

Step-by-step explanation:

All triangles without exception, have 3 angles that add to 180o.

You know two of them. The statement above will help you get the third.

35 + 33 + x = 180                Combine the left

68 + x = 180                        Subtract 68 from both sides.

x = 180 - 68

x = 112

Answer: The value of x is 112

Step-by-step explanation:

add the two values given: 35+33= 68

then subtract 68 from 180 (sum of angles is 180°) = 112

112+35+33= 180

Answer:

28.5 units²

Step-by-step explanation:

You are correct.

You divided the figure into a square, a rectangle and a triangle.

You can also just divide into a rectangle and a triangle as I did below, and there are other ways of dividing the figure to find the area.

Bottom rectangle: 8 units by 3 units

Top triangle: base = height = 3 units

total area = area of rectangle + area of triangle

total area = length × width + base × height / 2

total area = 8 units × 3 units + 3 units × 3 units / 2

total area = 24 units² + 4.5 units²

total area = 28.5 units²