find two consecutive integers whose sum is 51​

Answer:

domain: (3, 4, 5, 6)

range: (2.1, 2.7, 3.1, 4.1, 5.1)

Step-by-step explanation:

domain is the x value

range is the y value

you do not write the same number twice

write the domain and range in alphabetical order

Answer:

5 m/s^2

Step-by-step explanation:

Force = mass x acceleration

f = ma

We have the force of 10 N and the mass of 2 kg.

10 N = 2 kg a

divide by 2 on both sides to isolate the a

a = 5 m/s^2

Answer:

[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]

Step-by-step explanation:

The formula for force is:

[tex]F=m*a[/tex]

If we rearrange the formula for acceleration (a) and divide both sides by m we get:

[tex]\frac{F}{m}=a[/tex]

The net force is 10 Newtons. Let's convert the units to make the problem easier later on.

The mass is 2 kilograms.

[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]

Substitute the values into the formula.

[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]

Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)

[tex]\frac{10 \ m/s^2}{2}=a[/tex]

[tex]5 \ m/s^2=a[/tex]

The acceleration of the box is 5 meters per second squared.

Answer:

The actual answer is C

Step-by-step explanation:

Answer:

x can = anywhere from 8 to infinite because x has to be greater than 8 at least  

Step-by-step explanation:

Answer:

The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Step-by-step explanation:

We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​.

There are 9 letters in the word WONDERFUL

There is a condition that letter R is always next to E.

So, We have two letters fixed WONDFUL (ER)

We will apply Permutations to find ways of arrangements.

The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways

The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways

The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways

So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Answer:

so cant help

Step-by-step explanation:

Answer:

43˚

Step-by-step explanation:

As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer

Hope this helps!

Answer:

0.94secs

Step-by-step explanation:

Given the function below that models the distance of the softball from the ground in meters after t seconds expressed as;

h(t)=-4.9t^2+5t+9

The ball hits the ground when the height h(t) is zero

Substitute h(t) = 0 into the expression and calculate the value of t;

0 = -4.9t²+5t+9

Multiply through by 10;

0 = 49t²+50t+90

-49t²+50t+90 = 0

Factorize;

t = -50 ±√50²-4(49)(90)/2(49)

t = -50±√2500+17640/98

t = -50±√20140/98

t = -50+141.92/98

t = 91.92/98

t = 0.94 secs

Hence it takes 0.94secs for the softball to hit the ground

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex]

First, change 2 [tex]\frac{1}{3}[/tex] into an improper fraction. It will make the solving process a lot easier.

2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex]

So:

[tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]

Now solve by multiplying the reciprocal of [tex]\frac{7}{3}[/tex] which is [tex]\frac{3}{7}[/tex]

So:

[tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{49}[/tex]

The value of 4/7 divided by 2 1/3 as requested in the task content is; 12/49.

According to the task content, the value of the expression is required.

4/7 ÷ 2 1/3

By fraction conversion, we have;

4/7 ÷ 7/3

= 4/7 × 3/7

= 12/49.

Read more on division;

https://brainly.com/question/1622425

#SPJ2

Answer:

On average, the number of breakdowns per day varies from the mean by about 0.28.

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the conversion rate for both banks is not given.

However, I'll make the following assumptions.

Bank A: $80 for 392 stellars

Bank B: $50 for 240 stellars

Solving (a) Bank with better conversion rate.

First, we need to calculate the unit rate.

Unit Rate = Dollar/Stellar

For Bank A:

Unit Rate = 392/80

Unit Rate = 4.9 Stellars to $1

For Bank B:

Unit Rate = 240/50

Unit Rate = 4.8 Stellars to $1

The bank with higher unit rate has a better exchange rate.

Hence, bank A has a better exchange rate.

Solving (b): How much more will he get if $1200 is exchanged

For Bank A:

$1 = 4.9 Stellars

Multiply both sides by 1200

$1 * 1200 = 4.9 * 1200 Stellars

$1200 = 5880 Stellars

For Bank B:

$1 = 4.8 Stellars

Multiply both sides by 1200

1200 * $1 = 4.8 * 1200 Stellars

$1200 = 5760 Stellars

Calculate their difference

Difference = 5880 - 5760

Difference = 120 Stellars

Hence, he'll get 120 more Stellars if he exchanged with bank A.

Answer:

[tex]y=\frac{3}{2} x+1[/tex]

Step-by-step explanation:

[tex]y=mx+b\\\\-8=\frac{3}{2} (-6)+b\\\\-8=-9+b\\\\b=1\\\\y=\frac{3}{2} x+1[/tex]

Answer:

18.0277563773 yards

Step-by-step explanation:

Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]10^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]

100 + 225 = [tex]c^{2}[/tex]

325 = [tex]c^{2}[/tex]

[tex]\sqrt{325}[/tex] = [tex]\sqrt{c^{2} }[/tex]

8.0277563773 = c

Answer:

A relation is...

A set of points that pair input values with output values.

Is the following graph a function?

Yes

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(x+25)(3+2x)-(x+4)(x+1)

=(3x+2x²+75+50x)-(x²+4x+x+4)

=(2x²+53x+75)-(x²+5x+4)

=2x²+53x+75-x²-5x-4

=x²+48x+71

Answer:

Step-by-step explanation:

to ez its =12

Answer:

13/12

Step-by-step explanation:

Answer:

The equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Step-by-step explanation:

We know the equation of exponential function such as

[tex]f(x) = ab^{x}[/tex]

Put x=0, and y=2 in the function

[tex]2 = ab^{0}[/tex]

[tex]2 = a[/tex]

Also x=1, and y=8 in the function

[tex]8 = 2b^{1}[/tex]

[tex]b=4[/tex]

Thus,

[tex]f(x) = ab^{x}[/tex]

        [tex]= 2(4)^{x}[/tex]

Therefore, the equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Answer:

Probability is 0.243

Step-by-step explanation:

Probability of success p = 76% = 76/100 = 0.76

Probability of failure q = 1 - p = 1-0.76 = 0.24

We can now proceed to use Bernoulli approximation of the Binomial theorem

We have

P( X = 7) = 10 C 7 p^7 q^3

P(X = 7) = 120 * 0.1465 * 0.013824

P(X = 7) = 0.242946203712

This is approximately 0.243

Answer:

0.243

Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243

Answer:

(b) t+82=36

Step-by-step explanation:

When 82 is added to a number the resulting number is the same as 36.

Let t be the number in which 82 is added.

After addition the resulting number = t+82

As the resulting number is the same as 36, so,  

t+82 = 36

Hence option (b) is correct.

Answer:

hm

Step-by-step explanation:

m

9514 1404 393

Answer:

  no, the relationship is not proportional

Step-by-step explanation:

The table says Brianna crocheted 19 inches in 10 minutes. If the relation were proportional, Brianna would have crocheted 5×19 = 95 inches in 5×10 = 50 minutes. Her actual length is only 23 inches, so length is not proportional to time.

Answer:

8/5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Given the direction required to solve the problem :

multiply the whole number and the numerator.

Once you find the product divide that by the denominator

Simplify :

64 divided by 3/8

Multiply 64 by the numerator of the fraction :

64 * 3 = 192

Divude the result by the denominator of the fraction :

192 / 8 = 24

Hence, 64 * 3/8 = 24

Answer:

They subtracted by 4 not divided (And you spelled the wrong) and answer is

x = 5

Step-by-step explanation:

Answer: the error is the 2nd step. the solution is 5

Step-by-step explanation:

4x-3=17

   +3   +3

4x/4 = 20/4

x=5

                              hope that helps!!!:):)

Answer:

Please check the explanation below.

Step-by-step explanation:

Given the equations

[tex]6x+18y+6z=24,\:-x-3y-2z=-4,\:2x+6y+2z=8\:\:[/tex]

Steps to solve

[tex]\begin{bmatrix}6x+18y+6z=24\\ -x-3y-2z=-4\\ 2x+6y+2z=8\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}x=4-3y-z[/tex]

[tex]\begin{bmatrix}-\left(4-3y-z\right)-3y-2z=-4\\ 2\left(4-3y-z\right)+6y+2z=8\end{bmatrix}[/tex]

As

[tex]-\left(4-3y-z\right)-3y-2z=-4[/tex]

[tex]-z-4=-4[/tex]

and

[tex]2\left(4-3y-z\right)+6y+2z=8[/tex]

[tex]8=8[/tex]

so

[tex]\begin{bmatrix}-z-4=-4\\ 8=8\end{bmatrix}[/tex]

Isolating z for [tex]-z-4=-4[/tex]

[tex]-z-4=-4[/tex]

[tex]-z=0[/tex]

[tex]\frac{-z}{-1}=\frac{0}{-1}[/tex]

[tex]z=0[/tex]

[tex]\mathrm{For\:}x=4-3y-z[/tex]

[tex]\mathrm{Expressing\:}x\mathrm{\:in\:terms\:of\:}y[/tex]

[tex]x=4-3y-0[/tex]

[tex]x=-3y+4[/tex]

Therefore,

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-3y+4,\:z=0[/tex]