7m = 49 solve the equation by trial and error method​

Answers

Answer 1

Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.

Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,

So we check, [tex]7\cdot6=42[/tex] but [tex]35\lt49[/tex] which means m must be bigger.

So we pick m to be 8 and check, [tex]7\cdot8=56[/tex] but [tex]56\gt49[/tex] which means m must be smaller.

Since only natural number between 6 and 8 is 7 we pick m to be 7 and check, [tex]7\cdot7=49[/tex] and [tex]49=49[/tex].

The answer is therefore 7.

Hope this helps :)


Related Questions

use wxy to find the measure of

Answers

Answer:

a circle

Step-by-step explanation:

Type the correct answer in each box.
Consider the expressions shown below.

A B C

Complete each of the following statements with the letter that represents the expression.


is equivalent to expression
.

is equivalent to expression
.

is equivalent to expression
.

Answers

Answer:

BAC

Step-by-step explanation:

The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial shown in the picture.

A = -7x² - 2x + 5

B =  7x² - 2x + 7

C = 7x² + 2x - 5

The expression is:

= (3x² - 6x + 11) - (10x² - 4x + 6)

= -7x² - 2x + 5

= A

= (-3x² - 5x - 3) - (-10x² - 7x + 2)

= 7x² + 2x - 5

= C

= (12x² + 6x - 5) - (5x² + 8x - 12)

= 7x² - 2x + 7

= B

Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

How to do questions 19 and 20

Answers

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

Look at the images above. How are the fish food box and the shipping box similar? How are they different?​

Answers

Answer:

Read below c:

Step-by-step explanation:

Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.

hope it helps c:

HELP ASAP!!!!
What is the X intercept of the graph that is shown below?(-2, 0)
(-1, 2)
(0.4)
(4.0)

Answers

Answer:

The x-intercept of the graph is (-2,0)

OAmalOHopeO

If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x

Answers

Answer:

the answer could be B i think cause that makes total sense

I think the answer is b

I need help with this​

Answers

Answer:

A. More students prefer Model A1 calculators than the Model C3 calculators.

What is the value of this expression when h= -2 and g = 5?
242 +9

Answers

Answer:

B

Step-by-step explanation:

the g is not in the root, solve everything in the root separately and then add g to it

simplify (q and (-q or p)) or (p and -(q and p))

Answers

Step-by-step explanation:

(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p

(p and not (q and p)) = (p and (not q or not p)) =

= (p and not q) or (p and not p) = (p and not q) or false =

= p and not q

so, we have in total

(q and p) or (p and not q) = (p and q) or (p and not q).

this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.

Solve the following equation algebraically

3x 4 – 1 = 1874

Answers

The answer is x= 5 or x= -5

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $53. The total cost to rent 8 chairs and 3 tables is $42. What is the cost to rent each chair and each table?

Answers

Answer:

c=cost of one chair rental

t=cost of one table rental

8c+3t=42

2c+5t=53

multiply the second equation, each term on both sides, by -4

8c+3t=42

-8c-20t=-212

add the two equations

-17t=-170

divide both sides by -17

t=$10 to rent one table

substitute t=10 into either original equation

2c+5(10)=53

2c+50=53

2c=3

c=$1.50 to rent one chair

Whats is the job of dentisy​

Answers

Answer:

A dentist, also known as a dental surgeon, is a medical professional who specializes in dentistry, the diagnosis, prevention, and treatment of diseases and conditions of the oral cavity. The dentist's supporting team aids in providing oral health services. Wikipedia

PLS HELP
Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f · g and state its domain.


A) -30x2 - 9x + 12; all real numbers



B) -30x2 - 9x + 12; all real numbers except x = 4



C) -18x2 - 39x + 20; all real numbers



D) -18x2 - 39x + 20; all real numbers except x = 1

Answers

Answer:

-30x^2-9x+12  all real numbers

Step-by-step explanation:

f(x) = -6x + 3 and g(x) = 5x + 4

f(x) * g(x) = (-6x + 3) * ( 5x + 4)

FOIL

            = -30x^2 -24x+15x +12

Combine like terms

           =-30x^2-9x+12

The domain is what numbers x can take

There are no restrictions so all real numbers

When Poll Pasked students to identify their favorite kind
of TV show, 12 students, 30% of the group, said their
favorite was Sports. Poll Q asked 3 times as many
students as Poll P.
G
How many students took Poll Q?

Answers

Answer:A) The number of students who took Poll P

Step-by-step explanation:

i did it on the assignment

Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out

Answers

Answer:

the answer is b. you are basically multiplying them

what is the slope intercept equation of the line below?

Answers

Answer:

[tex]{ \tt{slope, \: m = \frac{1 - ( - 1)}{1 - 0} }} \\m = 2 \\ y - intercept : y = mx + c \\ { \tt{1 = (2 \times 1) + c}} \\ c = - 1 \\ { \boxed{ \bf{y = 2x - 1}}}[/tex]

A rectangle with a length of 5 cm and a width of 2 cm is enlarged by a scale factor of 5. What would be the area of the new rectangle?
Area of old rectangle is multiplied by 25
Area of old rectangle is multiplied by 5
Area of old rectangle is multiplied by 20
Area of old rectangle is multiplied by 10

Answers

Area is in square units.

Square the factor: 5^2 = 25

The new area would be the area of the old rectangle multiplied by 25

Answer: Area of old rectangle is multiplied by 25

Step-by-step explanation:

Original rectangle

Length = 5 cmWidth = 2 cm

Area = 2 · 5 = 10 cm²

New rectangle

Length = 5 · 5 = 25 cmWidth = 2 · 5 = 10 cm

Area = 25 · 10 = 250 cm²

The area of the new rectangle = area of old rectangle × 25

Can anyone explain please?

Answers

Answer:

x = 55

Step-by-step explanation:

In a rhombus, each diagonal bisects a pair of opposite angles.

For this parallelogram t be a rhombus, the angles with measures 2x - 40 and x + 15 must be congruent.

2x - 40 = x + 15

Subtract x from both sides.

x - 40 = 15

Add 40 to both sides.

x = 55

Answer:

Hello,

x=55

Step-by-step explanation:

The rhombus is formed of 2 isocele triangles

(since sides are equals)

The drawn diagonal  bissects the angle

x+15=2x-40

2x-x=15+40

x=55

Last question pls help me

Answers

Answer:

Step-by-step explanation:

684 dollars

The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 390 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 420 vines sprayed with Action were checked. The results are:

Insecticide Number of Vines Checked (sample size) Number of Infested Vines
Pernod 5 390 23
Action 420 46

At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action?

Answers

Answer:

The p-value of the test is 0.0088 < 0.05, which means that at the 0.05 significance level, we can conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Pernod 5:

23 out of 390, so:

[tex]p_P = \frac{23}{390} = 0.059[/tex]

[tex]s_P = \sqrt{\frac{0.059*0.941}{390}} = 0.0119[/tex]

Action:

46 out of 420, so:

[tex]p_A = \frac{46}{420} = 0.1095[/tex]

[tex]s_A = \sqrt{\frac{0.1095*0.8905}{420}} = 0.0152[/tex]

Test if there is a difference in proportions:

At the null hypothesis, we test if there is not a difference, that is, the subtraction of the proportions is 0. So

[tex]H_0: p_A - p_P = 0[/tex]

At the alternative hypothesis, we test if there is a difference, that is, the subtraction of the proportions is different of 0. So

[tex]H_1: p_A - p_P \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the samples:

[tex]X = p_A - p_P = 0.1095 - 0.059 = 0.0505[/tex]

[tex]s = \sqrt{s_A^2+s_P^2} = \sqrt{0.0119^2+0.0152^2} = 0.0193[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{0.0505 - 0}{0.0193}[/tex]

[tex]z = 2.62[/tex]

P-value of the test and decision:

The p-value of the test is the probability of a difference in proportions of at least 0.0505 to either side, which is P(|z| > 2.62), that is, 2 multiplied by the p-value of z = -2.62.

Looking at the z-table, z = -2.62 has a p-value of 0.0044.

2*0.0044 = 0.0088

The p-value of the test is 0.0088 < 0.05, which means that at the 0.05 significance level, we can conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Find the equation of a line that passes through the points (2,7) and (4,6). Leave your answer in the form y = m x + c

Answers

Answer:

I think the answer would be

y = 0.5x -8

tough this might be wrong?

Step-by-step explanation:

(2, 7) ( 4,6)

to find the gradient- mx

y2-y1/ x2 - x1

chose which would be 1/ 2

if I chose (2,7) as 1 then (4, 6) as 2

mx = 6- 7/ 4-2

= -0.5x

y = -0.5x + c

substitute

6 = -0.5(4) + c

6= -2+ c

c = -8

What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.

Answers

Answer:

slope=undefined

Step-by-step explanation:

(-5-4)/(9-9)

-9/0

[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

[tex]\frac{(-5-4)}{(9-9)}[/tex]

[tex]\frac{-9}{0}[/tex]

Because the denominator is 0, the slope is undefined.

Rise over run. The run is 0.

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015

Answers

Answer:

The projected world population in 2015 was 8,705,121,030 people.

Step-by-step explanation:

Given that the population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year, assuming that the world population follows an exponential growth model, to find the projected world population in 2015 the following calculation must be performed :

5,000,000,000 x 1.02 ^ (2015-1987) = X

5,000,000,000 x 1.02 ^ 28 = X

5,000,000,000 x 1.741024 = X

8,705,121,030 = X

Therefore, the projected world population in 2015 was 8,705,121,030 people.

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.

Answers

9514 1404 393

Answer:

  (a) The set must have a constant additive rate of change

Step-by-step explanation:

If a linear function is suitable for representing the data, the data will demonstrate a constant slope. That is, for evenly spaced values of the independent variable, the differences of the values of the dependent variable will be constant. We can say ...

  The set must have a constant additive rate of change.

Q4 Compute the shearing stress at the very top of the vertical web just below the flange. for a beam with the T shaped cross section shown in Figure. The shearing force V on the section of interest is 6000 N. Le​

Answers

ʕ•ﻌ•ʔ[tex]\huge\bold\pink{hello!!!}[/tex]ʕ•ﻌ•ʔ

HERE IS UR ANSWER

_____________________

formula used to calculate shear stresses due to bending, τ = VQ/It. We have just read the internal shear force, V, off of the shear diagram. We also already calculated the moment of inertia for this particular section.

τ=6000N

A normal population has mean and standard deviation . (a) What proportion of the population is greater than ? (b) What is the probability that a randomly chosen value will be less than .

Answers

Answer:

0.0171

0.89158

Step-by-step explanation:

Given :

μ = 60

Standard deviation , σ = 17

The probability that a randomly chosen score is greater than 96;

P(Z > Zscore)

Zscore = (score, x - μ) / σ

Zscore = (96 - 60) / 17 = 2.118

P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171

The probability that a randomly chosen score is less than 81;

P(Z < Zscore)

Zscore = (score, x - μ) / σ

Zscore = (81 - 60) / 17 = 1.235

P(Z < 1.235) = 0.89158

Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total length of the trip.

Answers

Answer:

900

Step-by-step explanation:

34/100 = 306/x

Cross multiplying, you get:

34x=30600

x=900

Total trip is 900 miles long.

Round 86,261,785 to the nearest hundred?

Answers

Answer:

86,261,800 is your answer

Answer:

86,261,800

Step-by-step explanation:

Locating the hundreds place...

86,261,785

Look at the digit to the right of it.

86,261,785

Since the digit '8' is greater than or equal to 5, we would round up.

86,261,785 ≈ 86,261,800

Hope this helps.

If the amount of waking time 4 year old children spend alone with their fathers each day is 42 minutes while the daily waking time spent in daycare is 6 hours, what is the ratio of time with father to time in daycare?

Answers

42 minutes is .7hours so the ratio is .7:6 but you would rewrite it as 7:60 so you don’t have the decimal.

A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns labeled V, W, X, Y, and Z. They will randomly select one of the containers to be the control for the experiment by drawing one of five well-mixed slips of paper with the same labels from a hat. Which of the following is the probability model for the control container?

Answers

Answer:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]S = \{V,W,X,Y,Z\}[/tex]

[tex]n(S) = 5[/tex]

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]

So, the probability model is:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Answer:

answer is V=.20, W=.20, X=.20, Y=.20, X=.20

Step-by-step explanation:

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