What is "5t + 76" if t = 6?​

Answer: A  y=4x -5 and y=4x+5

Step-by-step explanation:

They have no solutions because they have the same slopes but different y intercepts. That works with any equation.

Answer:

the answer is A

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

[tex]\frac{460+475}{2}=467.5[/tex]

The mean is:

[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]

The standard deviation is:

[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

Answer: 19 degrees

Step-by-step explanation:

<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees.  Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees.  Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.

Hope it helps <3

Answer:

19 degrees

Step-by-step explanation:

Answer:

similar triangles have there corresponding sides proportional and corresponding angles equal

Answer:

58, 38 and 76

Step-by-step explanation:

(a)

The median is represented by the vertical line inside the box

median = 58

(b)

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the value at the right of the box, that is 72

The lower quartile is the value at the left of the box, that is 34

Interquartile range = 72 - 34 = 38

(c)

The range is the difference between the largest and smallest value

max value is the value at the right of the data, that is 86

min value is the value at the left of the data, that is 10

Range = 86 - 10 = 76

Answer:

the value of x_y is 1.

hope u get it.....

Answer:

reflection and rotation

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck

Hence, to represent a set of possible outcomes, the coin has to be tossed three times.

Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks

Total Favorable Outcome = 2 White + 1 Black

Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks

Formula to Calculate Probability

     =  Total favourable outcome ÷ Total possible outcome

Use ,C(n,r)= n! / (n - r)! r!

Therefore, the Probability of two white ducks one black duck swimming together

              = ³C² * ³C¹ ÷ 6C3 = 9/20

To use Simulation Coin Flip, we have the following:

H→White duck, T→Black Duck

HHH→Three White Ducks Swimming together

TTT→Three black ducks Swimming together

HHT→Two white duck and a Black Duck swimming together

HTH→Two white duck and a Black Duck swimming together

THH→Two white duck and a Black Duck swimming together

TTH→Two Black duck and a White Duck swimming together

THT→Two Black duck and a White Duck swimming together

HTT→Two Black duck and a White Duck swimming together

Finally, to find the probability, divide the observed desired outcomes by the total number of trials.

Answer:

There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.

Step-by-step explanation:

edg2020

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

Answer:

x=42

Step-by-step explanation:

The tens digit of a two-digit number is twice the units digits. put it in an equation:

10(2x)+x = 10x+2x+18

21x=12x+18

21x-12x=18

x=18/9=2

substitute x:

10(2x)+x = 10x+2x+18

10(2*2)+2=10(2)+2(2)+18

42=24+18

Answer:

Step-by-step explanation:

1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

[tex]13^{2}[/tex] = [tex]5^{2}[/tex] + [tex]d^{2}[/tex]

169 = 25 + [tex]d^{2}[/tex]

169 - 25 = [tex]d^{2}[/tex]

144 = [tex]d^{2}[/tex]

⇒ d = [tex]\sqrt{144}[/tex]

       = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle.

A chord is a straight line joining 2 points on the circumference of a circle.

The line that connects any two points of the circumference of a circle is known as a chord.

Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Converse: The perpendicular bisector of a chord passes through the center of a circle.

Problem: In the given figure the radius of the circle is 5 cms. what is the length of the chord?

Solution:

Given to us,

radius of the circle, r = 5 cms,

RA = 1 cm,

Radius, r = OA = OP = OQ = 5 cms.

Also, OR = OA - OR = 4 cms.

In ΔOPQ,

According to Pythagorus theorum,

OP² = OR² + RP²

5² = 4² + RP²

RP² = 25 -16 = 9

RP = 3,

We know,

A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

A radius (OA) that is perpendicular to a chord divides the chord into two equal parts(RP = RQ).

Therefore, chord = RP + RQ = 3+3 = 6 cms.

To know more visit:

https://brainly.com/question/11833983

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Answer:

The correct answer is B

Answer:

0 < x < 25

Step-by-step explanation:

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

Answer: B

Step-by-step explanation: graph b

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

Answer:

x=-1, y=2, z=3

Step-by-step explanation:

First at all, you can divide these equations into two group. It is easier to you.

4x-2y+3z=1

3x+y+2z=5

x+3y-4z=-7

3x+y+2z=5

Then, you can simplify these group of equation that you divided.

So, we have to simplify these step by step.

First, we can simplify the first group of equation.

4x-2y+3z=1

3x+y+2z=5

We have to find which variable you want to eliminate. I choose y.

You can multiply the second equation of first group by 2 and eliminate them.

4x-2y+3z=1

6x+2y+4z=10

As the variable of y is same and we can eliminate y by addition.

4x-2y+3z=1

6x+2y+4z=10

become

10x+0+7z=11

10x+7z=11

10x+7z=11 as the third equation.

Next, simplify the second group of equation.

x+3y-4z=-7

3x+y+2z=5

Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.

We need to balance for the first equation x+3y-4z=-7 at least one variable.

We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.

3x+y+2z=5 (multiply by -3)

-9x-3y-6z=-15

x+3y-4z= -7

-9x-3y-6z= -15

Here we go! Now these group has same value and variable to eliminate.

We can eliminate these equations by addition method.

x+3y-4z= -7

-9x-3y-6z= -15

-8x+0+10z= -22

-8x+10z= -22

Furthermore, we have to combine these equations that we have simplified from the previous groups.

10x+7z=11

-8x+10z= -22

10x+7z=11 and -8x+10z= -22 as a new group.

Finally, it is time to solve these equations!!

10x+7z=11

-8x+10z= -22

First equation of the above group, we can multiply by 10. Like this:

100x+70z=110

Second equation of the above group, we can multiply by 7. Like this:

-56x+70z=-154

So, we can see there are same value from these equation which are +70z and -70z.

Now, we can eliminate this variable by sum these equations.

100x+70z=110

-56x+70z=-154

44x= -44

x= -1

When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.

When x= -1,

substitute into 100x+70z=110

100(-1)+70z=110

-100+70z=110

70z=110+100

70z=210

z=3

When z=3 and x= -1, we can substitute into x+3y-4z= -7

-1+3y-4(3)= -7

-1+3y-12= -7

3y=6

y=2

So, the answer is x= -1 , y=2 , z=3

I hope you will understand my solution and explanation. Bye!!

Answer:

68.26

Step-by-step explanation:

The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26

Answer:

68%.

Step-by-step explanation:

The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.

According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.

Hope this helps!

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Answer:

[tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]

Step-by-step explanation:

Consider any one of the vertices of A

To translate to the corresponding vertex in B , the requirement is

shift 5 to the left, that is negative 5

shift 5 units down that is negative 5

The single translation is [tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]

Answer:

false

Step-by-step explanation:

its false I think

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

  y = (1/3)x +4

Step-by-step explanation:

The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.

The slope-intercept form of the equation of a line is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept.

When we put the proper numbers in the equation, we have ...

  y = (1/3)x + 4

Answer:

Step-by-step explanation:

Given figure : Trapezium

Upper base of trapezium ( b1 ) = 7

Lower base ( b2 ) = 3

Height ( h ) = 3

Now, finding the area of trapezium:

[tex] \frac{1}{2} (b1 + b2)h[/tex]

Plugging the values

[tex] \frac{1}{2} \times (7 + 3) \times 3[/tex]

Calculate the sum

[tex] \frac{1}{2} \times 10 \times 3[/tex]

Reduce the numbers with G.C.F 2

[tex]5 \times 3[/tex]

Calculate the product

[tex] = 15 \: {units}^{2} [/tex]

Hope this helps..

Best regards!

Answer:

She can only make 5/6 of her recipe with the amount of milk that she has.

Step-by-step explanation:

Some data of this problem is missing, the data missing is:

Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.

Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:

[tex]\frac{5}{8}[/tex] ÷[tex]\frac{3}{4}[/tex]

When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:

[tex]\frac{5}{8}[/tex]÷[tex]\frac{3}{4}=\frac{5}{8}[/tex]×[tex]\frac{4}{3} =\frac{20}{24}[/tex]

If we simplify this last expression we have:

[tex]\frac{20}{24}=\frac{10}{12} =\frac{5}{6}[/tex]

Thus, she can only make 5/6 of her recipe with the amount of milk that she has.

Note: In case the data missing is different, you can apply this same procedure with the fractions you have.

I hope this helps you

Answer:  B) sin θ = 5/13    and    D) tan θ = 5/12

Step-by-step explanation:

[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]

Use Pythagorean Theorem: x² + y² = r² to calculate x = 12

[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]

Answer:

-5

Step-by-step explanation:

This is a quadratic polynomial that has the form ax²+bx+c :

here the coefficient of b is -5

Answer:

5

but if you sure just looking for the coefficient to just plain b, it is 5

the coefficient of (b^2) is  1 and  the coefficient of  b itself -5

the reason  i say coefficient  to (b^2) is 1 because there is no numder  in front

of the variable , it is automatically  assumed to be 1

Step-by-step explanation:

a coefficient is a numder  that a variable is multiplied by