the quotient of a number and -9 is increased by 10 the result is 11 what is the number? ​

Answer:

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

[tex] \mathrm{8x - 13 + 7x - 17 = 180}[/tex] ( sum of angle in straight line )

Collect like terms

[tex] \mathrm{15x - 13 - 17 = 180}[/tex]

Calculate

[tex] \mathrm{15x - 30 = 180}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathrm{15x = 180 + 30}[/tex]

Calculate the sum

[tex] \mathrm{15x = 210}[/tex]

Divide both sides of the equation by 15

[tex] \mathrm{ \frac{15x}{15} = \frac{210}{15} }[/tex]

Calculate

[tex] \mathrm{x = 14}[/tex]

Now, let's find the value of m<MON

[tex] \mathrm{8x - 13}[/tex]

Plug the value of x

[tex] \mathrm{ = 8 \times 14 - 13}[/tex]

Calculate the product

[tex] \mathrm{ = 112 - 13}[/tex]

Calculate the difference

[tex] \mathrm{ = 99}[/tex] °

Hope I helped!

Best regards!

Answer:

48

Step-by-step explanation:

because i say so

Answer:

She can not achieve her average.

Step-by-step explanation:

For her homework average to be 8 or above, she needs to have at least 80 total points to be divided among 10 assignments.

If you add up all the values, 5, 0, 4, 8, 10, 9, 4, 6, 2, you would get 48.

She can not achieve her average because even with the maximum amount of points, 10, 58 is still less than 80.

Answer:

No

Step-by-step explanation:

Most of her scores are under 50 or 50

5 2 4 4 0

Answer:

Hey there!

60ab-72b

12b(5a-6)

The GCF is 12b.

Let me know if this helps :)

Answer:

b

Step-by-step explanation:

Answer:

the value of c is 70

Steps to find MAD:

Step 1. Calculate mean([tex]\overline{x}[/tex]) of the data using formula: [tex]\overline{x}=\dfrac{\sum x}{n}[/tex] ,  where x denotes data points and n is the number of data points.

Step 2. Calculate distance of each data point from mean :

Distance = [tex]|x-\overline{x}|[/tex]

Step 3. Divide  distance of each data point from mean by n:

MAD = [tex]\dfrac{\sum |x-\overline{x}|}{n}[/tex] , which is the final computation to find MAD.

Answer:

x=-3

Step-by-step explanation:

2x=-6

x=-3

your answer will be x=-3

Please see attachment for question

Answer:

Yes both players can say they won. Cindy and Victor won

Step-by-step explanation:

Both players can say they won because they both kept to the rules of the game. Cindy got rational real numbers on a diagonal while Victor got positive numbers on a column which are real numbers too. Pi on the last row on his column for the diagram on the right(see attachment) is 22/7 or 3.14159... is an irrational real number but is still a positive real number.

Perhaps you know that

[tex]S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6[/tex]

and

[tex]S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4[/tex]

Then the problem is trivial, since

[tex]\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}[/tex]

Then

[tex]12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)[/tex]

so that a = 3 and b = 1.

Answer:

x=6

a=9

Step-by-step explanation:

Because 21 is 1.5 times 14, and 15 is 1.5 times 10, a has to be 1.5 times x.  Also, x must be more than 4 in order for it to make a triangle.  To make it simple, I'd use either 6 or 8.  Just for ease, I'll use 6.

x=6

a=6*1.5=9

Answer:

[tex]\boxed{s=3}[/tex]

Step-by-step explanation:

Use a proportion to solve for the missing side length - a/c = b/d.

4/2 = 6/s cross-multiply

4s = 12 divide by 4

[tex]\boxed{s=3}[/tex]

Answer:

Step-by-step explanation:

Because these triangles are similar, their sides exist in proportion to one another. Their angles are exactly the same. but their sides are proprtionate IF they are similar. We are told they are so setting up the proportion:

[tex]\frac{4}{2}=\frac{6}{s}[/tex] and cross multiply:

4s = 12 so

s = 3

You could also look at the fact that the height of the larger triangle is 4 and the height of the smaller is 2, so the larger is twice as big as the smaller; likewise, the smaller is half the size of the larger (that means the same thing). So if the larger side is 6, half of that is 3.

Answer:

D, 9^4 * 8^4

Step-by-step explanation:

The rule is whenever you have multiplication inside arentheses and it is raised to a power, you distribute the power to both the number s and solve.

I confirmed D is right on a calculator also.

Answer:

D

Step-by-step explanation:

Answer:

Option A, 4/3

Step-by-step explanation:

2/3-(-2/3)

= 2/3+2/3

= (2+2)/3

= 4/3

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

Answer:

a. $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

Step-by-step explanation:

a. We want to calculate the amount of interest to be earned in six years

To calculate this, we use the formula for simple interest.

Mathematically;

Simple interest I = PRT/100

Where P is the principal which is the amount deposited = $15,000

R is the rate which is 5.5%

T is the time which is 6 years

Substituting these values in the simple interest formula, we have

I = (15,000 * 5.5 * 6)/100 = $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

Answer: -40 °C and -40 °F.

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

Let the temperature be x which is the same in Fahrenheit and Celsius. Then it must satisfy the Fahrenheit and Celsius conversion formula which is (Fahrenheit-32)*(5/9)=Celsius

x=(x-32)*(5/9)

9x=5x-160, x=-40

Answer:

Data Point B and Data point E

Step-by-step explanation:

Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.

Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.

Answer:

That's the graph for the function f(x)= -1/2 x^2 + 7

The vertex is f(0) = 7

Answer:

Here is your answer . hope this helps you.

Answer:

LCM of 7/25 and 3/25 is 25

Step-by-step explanation:

The full meaning of LCM is Lowest (Least) Common Multiple

Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero

Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.

In the above question, we are asked stop find the LCM of 7÷25 and 3÷25

= LCM of 7/25 and 3/25

The two denominators are the same, hence, the LCM is 25.

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Given:

[tex]m \angle ECH = x + 5\\m \angle HCD = 3x - 7[/tex]

Note the following:

Since CD is perpendicular to EF, therefore:

[tex]m \angle ECD = 90^{\circ}\\m \angle FCD = 90^{\circ}[/tex]

Thus:

a. Find x

[tex]m \angle ECH + m \angle HCD = m \angle ECD[/tex]

Substitute

[tex](x + 5) + (3x - 7) = 90[/tex]

Add like terms

[tex]x + 5 +3x - 7 = 90\\4x -2 = 90\\4x = 90 + 2\\4x = 92[/tex]

Divide both sides by 4

[tex]x = 23[/tex]

b. Find [tex]m \angle ECH[/tex]

[tex]m \angle ECH = x + 5[/tex]

Plug in the value of x

[tex]m \angle ECH = 23+ 5\\m \angle ECH =28^{\circ}[/tex]

c. Find [tex]m \angle HCD[/tex]

[tex]m \angle HCD = 3x - 7\\m \angle HCD = 3(23) - 7\\m \angle HCD = 62^{\circ}[/tex]

d. Find [tex]m \angle GCF[/tex]

[tex]m \angle GCF = m \angle ECH[/tex] (vertical angles are congruent)

Substitute

[tex]m \angle GCF = 28^{\circ}[/tex]

e. Find [tex]m \angle ECG[/tex]

[tex]m \angle ECG = 180 - m \angle GCF[/tex] (angles on a straight line)

Substitute

[tex]m \angle ECG = 180 - 28\\m \angle ECG = 152^{\circ}[/tex]

f. Find [tex]m \angle GCD[/tex]

[tex]m \angle GCD = m\angle FCD + m \angle GCF[/tex]

Substitute

[tex]m \angle GCD = 90 + 28\\m \angle GCD = 118^{\circ}[/tex]

Therefore:

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Learn more here:

https://brainly.com/question/18292462

Answer:

C. 8^20/2^8

Step-by-step explanation:

(8^5/2²)^4

8^20/2^8

Answer:

(k+2h)/(k+h)

Step-by-step explanation:

log 6 12 = (log a 12)/(log a 6) ( Log base change property)

log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h

log a 6 = log a (2*3) = log a 3 + log a 2 = k+h

log 6 12 = (k+2h)/(k+h)

Answer:

New depth of the milk will be 4 cm.

Step-by-step explanation:

If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.

Length of the cuboid formed by the the milk = 8 cm

Width = 5 cm

Height = 12 cm

Volume of the cuboid formed by the milk in the carton = Length × width × height

V = 8 × 5 × 12

  = 480 cm³

If the carton is turned so that the carton stands on the shaded face,

Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.

Length = 15 cm

Width = 8 cm

Height = h cm

Then volume of the cuboid = Length × width × height

V = 15 × 8 × h

480 = 120h

h = [tex]\frac{480}{120}[/tex]

h = 4 cm

Therefore, new depth of the milk will be 4 cm.

Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.

Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!

Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.

If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.

You might also consider fractionating you nitrogen source if it will be leached.

Now according to the exact aim of your work other method sof fertilizationare possible.

Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.

Wishing you a lot of success in your work

hope it will helps you

ashley here

Answer:

45/22

Step-by-step explanation:

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

then

{(5/8)/(11/9)} / {1/4)}

= {(5*9)/(8*11)} / {1/4)

= {45/88} / {1/4}

= {45*4} / {88*1}

= 180/88

= 45 / 22

Answer:

m∠A = 62°

m∠C = 28°

AC = 17 units

Step-by-step explanation:

In the given triangle ABC,

m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units

Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]

Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]

[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]

m∠C = 28.07°

m∠C ≈ 28°

Therefore, side BC = 15 units and AC = 17 units

Now we apply Sine rule in the given triangle.

Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{BC}}{\text{AC}}[/tex]

         = [tex]\frac{15}{17}[/tex]

A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]

A = 61.93°

m∠A = 62°

Answer:

4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal

Step-by-step explanation:

Simplify the following:

(2^(1/3))^7

Hint: | For all a>=0, (a^(1/3))^m = a^(m/3). Apply this to (2^(1/3))^7.

Multiply exponents. (2^(1/3))^7 = 2^(7/3):

2^(7/3)

Hint: | Separate the exponent of 2^(7/3) into integer and fractional parts.

2^(7/3) = 2^(6/3 + 1/3) = 2^(6/3)×2^(1/3):

2^(6/3) 2^(1/3)

Hint: | Divide 6 by 3.

6/3 = (3×2)/3 = 2:

2^2 2^(1/3)

Hint: | Evaluate 2^2.

2^2 = 4:

Answer:  4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal

Answer:

Quaterly

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

[tex]2n^2+n-4=0\\\\\Delta=b^2-4ac=1^2-4*2*(-4)=1+32=33>0[/tex]

So there are 2 distinct real solutions.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you