Solve this system using substitution then write your answer as an ordered pair (x,y) X-5y=4 and Y=2x+14

Answer: time = 20 seconds

Step-by-step explanation:

h(t) = -16t² + 316t + 80

The shape of this graph is an upside parabola ∩.  

It lands on the ground when height (h) = 0

Set the equation equal to zero, factor, and solve for t.

0 =  -16t² + 316t + 80

0 =  4t² - 79t - 20              divided both sides by -4

0 = (4t + 1)(t - 20)               factored the equation

t = -1/4      t = 20              Applied Zero Product Property and solved for t

Since we know time cannot be negative, disregard t = -1/4

The only valid solution is: t = 20

Answer:

C. Yes, because A does not have a pivot position in every row.

Step-by-step explanation:

The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.

Answer:

Step-by-step explanation: [tex]\frac{5}{3}[/tex]÷[tex]\frac{1}{3}[/tex] =

(Decimal: 0.555556)

Answer:

A.   minus 10,

Step-by-step explanation:

The distance travelled must be positive.

Therefore minus 10 would not be a reasonable answer.

Answer:

Step-by-step explanation:

-6a^5+6a^3+a^2-4a+1

Answer:

4a^3 and 2a^3

Step-by-step explanation:

you always start by combining like terms

Answer:

A) 8

Step-by-step explanation:

look at the graph where she has 9 books

Answer:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

Step-by-step explanation:

Given matrix [tex]M=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)[/tex]

The Inverse of a 2X2 matrix

[tex]A=\left(\begin{array}{ccc}a&b\\c&d\end{array}\right)[/tex]

can be found using the following:

[tex]A^{-1}=\dfrac{1}{ad-bc} \left(\begin{array}{ccc}d&-b\\-c&a\end{array}\right)[/tex]

Therefore:

[tex]M^{-1}=\dfrac{1}{(5*-5)-(3*-8)} \left(\begin{array}{ccc}5&-3\\8&-5\end{array}\right)\\=-1\left(\begin{array}{ccc}5&-3\\8&-5\end{array}\right)\\=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)[/tex]

Next, we find the product [tex]M^{-1}M[/tex]

[tex]M^{-1}M=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)\\=\left(\begin{array}{ccc}-5*-5+3*-8&-5*3+3*5\\-8*-5+5*-8&-8*3+5*5\end{array}\right)\\=\left(\begin{array}{ccc}1&0\\0&1\end{array}\right)[/tex]

Therefore:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

NOTE: The multiplication of a matrix and its inverse always gives the identity matrix as seen above,

Answer:

c. 3/4

Step-by-step explanation:

tan is opposite over adjacent and based off of the included information its 3/4

Answer:

f(x) = -3x + 4

Step-by-step explanation:

Step 1: Write it in slope-intercept form

9x + 3y = 12

3y = -9x + 12

y = -3x + 4

Step 2: Replace y with f(x)

f(x) = -3x + 4

In math, function f(x) is equal to the variable y.

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

A grocery store owner claims that the mean amount spent per checkout is more than $74. A test is made of H0: μ = 74 versus H1: μ > 74. The null hypothesis is rejected. State the appropriate conclusion. A) There is not enough evidence to conclude that the mean checkout price is greater than $74. B) The mean checkout amount is less than or equal to $74 C) The mean checkout amount is greater than $74. D) There is not enough evidence to conclude that the mean checkout price is less than or equal to $74

Solution:

The alternative hypothesis is the opposite of the null hypothesis. It is the hypothesis that is true if the null hypothesis is false.

Since the null hypothesis is rejected, it means that there was enough evidence to make us accept the alternative hypothesis. Considering the given scenario, the correct option would be

B)The mean checkout amount is greater than $74

Answer:

2

Step-by-step explanation:

Arranging them in ascending order we have the scores as;

[tex]2, 3, 3, 4, 4, 6, 8, 9, 9, 9[/tex]

The median is the average of the 5th and 6th scores.

[tex] \frac{4 + 6}{2} \\ \frac{10}{2} \\ 5[/tex]

The new set of scores become

[tex]2,3,3,4,6,8,9,9,9,9[/tex]

The median is;

[tex] \frac{6 + 8}{2} \\ \frac{14}{2} \\ 7[/tex]

The difference is

[tex]7 - 5 = 2[/tex]

Hope it helps! Vote for brainliest!

Answer:

255

Step-by-step explanation:

use calculator

Answer:

255

Step-by-step explanation:

∑ᵢ₌₁⁸ 2ⁱ⁻¹

Using brute force method:

S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷

S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128

S = 255

Using formula:

S = a₁ (1 − rⁿ) / (1 − r)

S = 1 (1 − 2⁸) / (1 − 2)

S = 255

Answer:

g(x) is greater

Step-by-step explanation:

Answer:

Equation of a line y = mx + c

m = slope

Using point (1,-9) and slope -3

y + 9 = -3(x - 1)

y + 9 = -3x + 3

y = -3x + 3 - 9

y = -3x - 6

Hope this helps.

Answer:

-6

Step-by-step explanation:

-x/3=2

Multiply both sides by 3:

-x=6

Divide both sides by -1:

x=-6

Hope this helps!

Answer:

323

Step-by-step explanation:

a-b= 7

ab= 137

a²+b²= ?

---------

Since (a-b)²= a²-2ab +b²

⇒ a²+b²= (a-b)² + 2ab= 7² + 2*137= 323

Answer:

Step-by-step explanation:

A. This study is an observation study as there is manipulative to the data on the part of the researcher. They only collected information based on what was seen and observed. There were no treatment conditions.

B. It is not reasonable to conclude that writing the essay in cursive is the cause for higher scores as the causation factor inducing higher scores here in this case might not be on how the essays are put down. So an experiment will be needed to be carried out to find this out.

Answer:

908360.67 lb-ft

Step-by-step explanation:

height of tank= 6 ft

diameter of the tank = 4 ft

density of water p = 62.4 lbs/ft

A is the cross sectional area of the tank

A = [tex]\pi r^{2}[/tex]

where r = diameter/2 =  4/2 = 2 ft

A = 3.142 x [tex]2^{2}[/tex] = 12.568 ft^2

work done = force x distance through which force is moved

work = F x d

Force  due to the water = pgAh

where g = acceleration due to gravity = 32.174 ft/s^2

Force  = 62.4 x 32.174 x 12.568 x 6 =  151393.44 lb

work done = force x distance moved

work = 151393.44 x 6 = 908360.67 lb-ft

Answer:

160cm

74mm

3.6km is 3600m

Step-by-step explanation:

1. 6 x 100= 160cm

7.4cm x 10 =74mm

3.6 x 1000= 3600m

Answer:

The mode would not change

Step-by-step explanation:

Mode is the frequency of 1 number. In this case, the mode is 3. If we add 8, the frequency of 3 would not change; there would still be 4 3's, and 3 would still have the most of itself.

Answer:

2 >x

Step-by-step explanation:

8-3x>2(3x-5)

distribute

8-3x>6x-10

Add 3x to each side

8+3x-3x>6x+3x -10

8 > 9x-10

Add 10 to each side

8+10 > 9x -10+10

18 > 9x

Divide by 9

18/9 > 9x/9

2 >x

Answer:

[tex]x < 2[/tex]

hope this helps you

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

[tex]8 - 3x > 2(3x - 5) \\ 8 - 3x > 6x - 10 \\ 8 + 10 > 3x +6 x \\ 18 > 9x \\ \frac{18}{9} > \frac{9x}{9} \\ 2 > x[/tex]

26.

Step-by-step explanation:

To figure out the missing side of a right triangle, we will use the Pythagorean theorem. This is...

[tex]a^2+b^2=c^2[/tex]

With this Pythagorean theorem, a and b will always be the legs and the c will always be the hypotenuse, no matter what. Now knowing this, we can plug the legs into the equation.

[tex]10^2+24^2=c^2[/tex]

[tex]100+576=c^2[/tex]

Add the legs together.

[tex]676=c^2[/tex]

Now, since c is squared we will have to find the square root of 676.

[tex]\sqrt{676}[/tex]

= 26

Answer:

12.5% probability that when a couple has three​ children, there are exactly 0 girls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

b for boy, g for girl

g - g - g

g - g - b

g - b - g

g - b - b

b - g - g

b - g - b

b - b - g

b - b - b

8 outcomes, one of which (b - b - b) with exactly 0 girls.

So

1/8 = 0.125

12.5% probability that when a couple has three​ children, there are exactly 0 girls.

The probability that when a couple has three​ children, there are exactly 0 girls is 12.5%

Here we assume b for boy, g for girl

Now the probability conditions are

g - g - g

g - g - b

g - b - g

g - b - b

b - g - g

b - g - b

b - b - g

b - b - b

There are 8 outcomes, one of which (b - b - b) with exactly 0 girls.

So

[tex]= 1\div 8[/tex]

= 0.125

Learn more about probability here: https://brainly.com/question/24613748

Answer:

A linear equation is an equation with two variables whose graph is a line. The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.If you want to graph a linear equation you have to have at least two points, but it's usually a good idea to use more than two points. When choosing your points try to include both positive and negative values as well as zero

Step-by-step explanation:

Answer:

The answer would be C because the y-intercept is when x is equal to 0

please mark me brainliest

Answer:

The x intercepts are (7,0) and (-4,0)

Step-by-step explanation:

y = x^2 – 3x - 28

Set y=0

0 = x^2 – 3x - 28

Factor.  What 2 numbers multiply to -28 and add to -3

-7*4 = -28

-7+4 = -3

0 = (x-7)(x+4)

Using the zero product property

0 = (x-7)      0 = x+4

x=7              x = -4

The x intercepts are (7,0) and (-4,0)

Answer:

The E. Coli will grow at a rate of approximately 800% an hour.

Answer:

a) 250 women

b) 370 in total

Step-by-step explanation:

Men : Women

12     : 25

120   : 250

a) If there are 120 men that means 12 was multiplied 10 times to get 120 so to get the amount for women we multiply 25 ten times which will give 250.

b) the sum will be 120 + 250 = 370

Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

Answer:

a) 0.3125 per hour

b) 2.225 hours

c) 8.9 hours

d) 12.1 hours

e) 80%

Step-by-step explanation:

Given that:

mean time = 3.2 hours, standard deviation (σ) = 2 hours

The  mean service rate in jobs per hour (λ) = 2 jobs/ 8 hour = 0.25 job/hour

a) The average number of jobs waiting for service (μ)= 1/ mean time = 1/ 3.2 = 0.3125 per hour

b) The average time a job waits before the welder can begin working on it (L) is given by:

[tex]L=\frac{\lambda^2\sigma^2+(\lambda/\mu)^2}{2(1-\lambda/\mu))} =\frac{0.25^2*0.2^2+(0.25/0.3125)^2}{2(1-0.25/0.3125)}=2.225\ hours[/tex]

c) The average number of hours between when a job is received and when it is completed (Wq) is given as:

[tex]W_q=\frac{L}{\lambda}=2.225/0.25=8.9\ hours[/tex]

d) The average number of hours between when a job is received and when it is completed (W) is given as:

[tex]W=W_q+\frac{1}{\mu} =8.9+\frac{1}{0.3125}=12.1 \ hours[/tex]

e) Percentage of the time is Gubser's welder busy (P) is given as:

[tex]P=\frac{\lambda}{\mu}=0.25/0.3125=0.8=80\%[/tex]

Answer:

15.757 im not sure but i came up with that one.

Step-by-step explanation: