MATHEMATICS HIGH SCHOOL

Which equation describes a line passing through (-3,1) that is parallel to y=4x+1?A) y= -0.25x + 0.25

B) y= 4x - 11

C) y= -0.25x + 1.75

D) y= 4x + 13​

Answers

Answer 1
Answer:

Answer:

D. y= 4x + 13

Step-by-step explanation:

the slope would have to be 4 to be parallel

so plug the points in

1=4(-3) + b

1= -12 +b

13 = b

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Which expression is equivalent to -36 minus 8?

D=RT for D, if T=5hours and T=65mph

Answers

D = RT

Since R = 65 and T = 5, just plug those numbers into the equation and solve.

D = 65 • 5 
D = 325 miles
325 Miles because all you do is multiple. If you mean R =5 hours, then just multiple. The units cancel out as 5hours*65m/h =325 miles.

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach?0.8 ft

1.6 ft

9.8 ft

19.6 ft

Approximately, how long does it take until the soccer ball hits the ground again?

0.6 sec

0.8 sec

1.6 secs

2.8 secs

Answers

Answer:

Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs

Step-by-step explanation:

Since, the ball kicked will take the motion of projectile, therefore using the equation: h(t)= at^(2) +vt+d, where h(t) is the height of the soccer ball, a is the acceleration whose value is -16 ft/sec^2 and v= 35 feet and d is the starting height which is equal to zero.

Therefore, h(t)=at^(2) +vt+d                                                     (1)

Differentiating this  equation with respect to t,

h^(')(t)= 2at+v

                      0   =2(-16)t+25

                     32t=25

                      t= 0.781sec

Substituting the value of t in equation (1),

h(t)=-16(0.781)^(2) +25(0.781)

           =(-16)(0.609)+19.525

           =9.766

           ≈9.8ft

Hence, option C is correct.

Now, In order to determine the time taken until the soccer ball hits the ground, we take the equation:

h(t)= at^(2) +vt+d

Since, when the ball hits the ground, the height will become equal to zero, therefore we have, h(t)=0

Now, h(t)= at^(2) +vt+d

0= -32.174t^(2) +25t

0=t(-32.174t+25)

Then, one solution is t=0 and the other is: 0=-32.174t+25

32t=25

t=(25)/(32.174)

t=0.777 sec

t≈0.8 sec

Hence, option B is correct.

Answer:

9.8 ft for the maximum height

1.6 sec for the time it’ll take for the ball to hit the ground again

I just took a test and it shows me what I got wrong alongside the correct answers. And this was a question it asked.

Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?1/18

11/18

7/18

4/9

Answers


Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

   (6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ?  I need you to clarify something first.
You said that the 'second die' shows an odd number.  When a pair
of dice is rolled, the problem usually doesn't distinguish between them. 
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way: 
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3         

Four possibilities.  Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way: 
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.

How can that happen:

B ... W
4 .... 1
2 .... 3

Only two possibilities.  Probability = 2/36 = 1/18 = 5.6% .

Find the mode of these temperatures:a) 15°, 26°, 34°, 189, 15°
b) 78°, 62°, 85°, 57°, 68°
c) 80°, 68°, 75°, 80°, 78°

Answers

Answer:

a) 15°

b) No mode

c) 80°

Step-by-step explanation:

Mode:

The value/quantity that occurs most often is the mode of the data set.

Part a)

15°  (Occurs 2 times)

Part b)

No mode (Each value occurs equally i.e. 1 time)

Part c)

80° (Occurs 2 times)

\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

Answer:

The mode is no mode for the first and second but the third is 80

I am confused as to why there wasn't more than one of the same number for this problem

Remember that mode is the one that appears the most!

Step-by-step explanation:

A song that I learned in 4th grade by my teacher kinda helps with this lol:

Range is the maximum minus the minimum

The mode is the one that appears the most

The median is the one in the middle

Now you know about Data!

Just try and say that over and over or write it down somewhere lol

I hope this helps

plz mark B R A I N L I E S T

By rounding to 1 significant figure, estimate494.37
÷
5.12

please help tyty x

Answers

To round 494.37 to 1 significant figure, it becomes 400. To round 5.12 to 1 significant figure, it becomes 5. When we divide 400 by 5, we get 80.

For rounding 1 significant figure, we look at the first non-zero digit in the number. In this case, the first non-zero digit is 4. We keep that digit and drop all the digits to the right of it. So, 494.37 becomes 400.

Similarly, for 5.12, the first non-zero digit is 5. We keep that digit and drop all the digits to the right of it. So, 5.12 becomes 5.

Now, we divide 400 by 5, which gives us 80.

Learn more about Rounding here:

brainly.com/question/34045884

#SPJ3

Answer:

100

Step-by-step explanation:

rounding to 1 sig figure

494.37 ≈ 500

5.12 ≈ 5

Estimating

500 ÷ 5 = 100

Cupid bought some valentines for $2.50. How much did he pay in sales tax if the tax rate is 6.5%?

Answers

       item cost = $2.50

sales tax rate = 6.5% --------------> 0.065
                                           
                      = $2.50 × 0.065 
                      ≈ 0.16
                      = $2.50 + 0.16
                      = $2.66
                    

So Cupid paid $2.66.

Hope I helped :P

                      
The answer is $2.66

hope that this helped
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