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4 years ago

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If the tire is flat, then I will have to change it. Using the statement above, first state your variables in terms of p and q an

d which variable represents which statement. Then write this statement in symbolic form.

1 answer:

pishuonlain [190]4 years ago

6 0

Let
p="The tire is flat"
q="I will have to change it"

The statement in symbolic form is
p->q means if p is true, then q, or
<span>"If the tire is flat, then I will have to change it."

</span>

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Write a fraction in simplest form that is greater than 43% and less than 47%

DerKrebs [107]

Answer:

45/100 or 2.22/10

Step-by-step explanation:

43 + 47 = 90 90 ÷ 2 + 45

100 ÷ 45 = 2.22

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3 years ago

For lunch, a restaurant discounts prices on their menu by 15% and then applies a

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It would be D

Step-by-step explanation:

If you do the problem backward and apply the discount and taxes to 20$, then you get 18.70

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3 years ago

A Jar contains five red marbles and three green marble. A marble is drawn at random and not replaced. A second marble is

olga_2 [115]

Answer:

20/56 or 5/14

Step-by-step explanation:

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3 years ago

The ratio of the three angles of a triangle is 2:4:6. What is the measure of the<br> SMALLEST angle?

kirill [66]

The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180

12
x
=
180

12
x
12
=
180
12

x
=
15

The measures of the angles are:
2
x
=
2
(
15
)
=
30

4
x
=
4
(
15
)
=
60

6
x
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7 0

3 years ago

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve

mr Goodwill [35]

Let $a_n$ be the n'th term of a sequence,

for example $a_1$ is the first term, $a_2$ is the second term and so on.
----------------------------------------------------------------------------------------------------
a sequence is arithmetic if the difference between any 2 terms is equal:

so an arithmetic sequence, for the first term = t, and the common difference = d, has the following form:

$a_1=t$

$a_2=t+d$

$a_3=t+d+d$

$a_4=t+d+d+d$

so clearly $a_n=t+d*(n-1)$
---------------------------------------------------------------------------------------------------
A sequence is geometric, if the ratio between any 2 consecutive terms is the same, and it is called the common ratio.

a geometric ratio with first term = t, and common ratio = r is:

$a_1=t$

$a_2=t*r$

$a_3=t*r*r$

$a_4=t*r*r*r$

thus clearly $a_n=t* r^{n-1}$
--------------------------------------------------------------------------------------------------

Part 1:

"<span>Jasmine practices the piano for __30___ minutes on Monday. Every day she ____increases_______ her practice time by ____5 minutes_____. </span>"

let $a_n$ be the number of hours Jasmine practices the n'th day,

for n=7, t=30, d=5 we have

$a_7=30+5*(7-1)=30+5*6=30+30=60$ ,

minutes is the time Jasmine practices on the 7the day.

Part 2

"<span>Anthony goes to the gym for ___60___ minutes on Monday. Every day he ___increases______his gym time by ____1/10_of the previous day_____. </span>"

if $S_n$ represents the minutes that Anthony goes to gym on the n'th day,

then

$S_1=60$

$S_2=60+1/10*60=10/10*60+1/10*60=11/10*60=1.1*60$

$S_3=1.1*1.1*60$

$S_4=1.1*1.1*1.1*60$

$S_5=1.1*1.1*1.1*1.1*60= (1.1)^{4}*60= 1.4641*60=87.85$
(minutes)

Part 3: it is clear that the formula that can be derived in Part 2 is:

$S_n=60*(1.1)^{n-1}$

so assume we want to find how many hours does Anthony spend in the gym on the 10th day,

then we calculate $S_10=60*(1.1)^{9}=60*2.358=141.5$ (minutes)

6 0

3 years ago