Answer:
Logic is the study of how to critically think about propositions or statements that are either true or false.
Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.
Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.
Step-by-step explanation:
What is the equation for a line that has an x-intercept of 2 and a y-intercept of -6?
Answer:
An x-intercept of 2 implies
(
2
,
0
)
is a point on the line
A y-intercept of 4 implies
(
0
,
4
)
is a point on a line
The slope of the line joining
(
2
,
0
)
and
(
0
,
4
)
is
#(Delta y)/(Delta x) = (4-0)/(0-2) = -2
Using the slope-intercept form of the equation
y
=
m
x
+
b
where
m
is the slope and
b
is the y-intercept
we have
y
=
−
2
x
+
4
The table shows the relationship between Megan’s earnings and the hours that she worked.
What is the missing value in the table?
Earnings ($) 19 38 57 ? 95
Hours 2 4 6 8 10
A. 65
B. 66.5
C. 76
D. 85.5
Answer:
C.76
Step-by-step explanation:
2x= 19
x= 9.5
8x =?
8(9.5)= ?
76= ?
type the correct answer in each box. spell all the words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s)
WHAT? What does this even mean?
Rosa budgets her allowance so she uses equal amounts for spending,saving, and gifts. Her weekly allowance is $6.75. How much does Rosa save each week?
Answer:
29.54
Step-by-step explanation:
29.54. is your answer to this problem
a city council consists of 7 democrats and 7 republicans. if a committee of 4 people is selected, find the probability of selecting 2 democrats and 2 republicans
Answer:
The probability of selecting 2 Democrats and 2 Republicans is 29.36%.
Step-by-step explanation:
Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:
7/14 x 6/13 x 7/12 x 6/11 = X
0.5 x 0.46 x 0.58 x 0.54 = X
0.0734 = X
0.0734 x 100 = 7.34 x 4 = 29.36
Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.
The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with the gas in his tank?
Answer:
5/6 divided by 1/12 (the last box)
Well thats the only box with the right answer and the equation used is how you get the right answer
PLEASE HELP!!! An investment earns 3% a year compounded monthly. Find the value of an initial investment of $5,000 after 6 years.
Answer:
A = $5,984.74
A = P + I where
P (principal) = $5,000.00
I (interest) = $984.74
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.03/12)(12)(6)
A = 5,000.00(1 + 0.0025)(72)
A = $5,984.74
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3% per year compounded 12 times per year over 6 years is $5,984.74.
Factorise 5x + 10=
ᴘʟᴀʏɪɴɢ: Who Asked (Feat: Nobody did ) ───────────⚪────── ◄◄⠀▐▐⠀►:/:⠀───○
Answer:
5(x+2)
Step-by-step explanation:
5x + 10=
Factor out 5
5(x+2)
Answer:
[tex]5(x + 2)[/tex]
Step-by-step explanation:
Get 5 out
[tex]5x + 10 \\ 5(x + 2)[/tex]
HELP QUICK PLEASE 15 points!!!
Answer:
I think the ans is option 'a'
Final Answer:
Corresponding Angles Theorum; ∠AGF and ∠EHD are congruent
END OF THE YEAR TEST PLEASE HELP
Seung has a wooden block in the shape of a square pyramid as shown below. Derek has the same shaped block but with dimensions that are half of Seung’s block. How many times greater is the surface area of Seung’s block than Derek’s block?
Derek has the same shaped block but with dimensions that are half of Seung’s block. How many times greater is the surface area of Seung’s block than Derek’s block?
Answer:
the answer is 4
Step-by-step explanation:
(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?
Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
Which statement correctly compares the shapes of the distribution?
the answer to your question is c
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to
create AA'B'C'. What are the coordinates of the vertices of AA'B'C'?
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints.
Use only decimal form, if necessary. Frozen Yogurt 9 COR Servings 3 2 1 Pints 3 31 5 6 18 9 The equation is y =
Answer:
Please rephrase the question.
Step-by-step explanation:
can anyone help me with dis
Answer:
Slope is 2.
Step-by-step explanation:
So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:
Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]
Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]
Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]
So lets start by doing step one.
All we need is to look for two x values. Lets use 5 and 6:
6-5=1
So 1 is our change of x. This is our 1st step.
Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:
-1-(-3) = 2
So 2 is our change in y. This is our 2nd step.
Now lets plug this into:
[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:
[tex]\frac{2}{1} = 2[/tex]
So our slope is 2. Completing our 3rd and final step.
Hope this helps!
how can u stand applying math to every thing doesn't it make every thing repetitive and why does every thing need a pattern doesn't that just make every thing worthless cause what's the point if every thing repeats and no this is not about history
Math makes everything easier without math people would be sitting there all day wondering about simple things like money and how many eggs are in a carton
A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below.
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Required:
At the 1% level of significance, is there evidence of an association between seed density and lawn quality?
Answer:
There is no significant evidence to support the claim that an association between seed density and lawn quality exists.
Step-by-step explanation:
Given the data :
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Using technology to obtain the correlation Coefficient between seed density and lawn quality, the Coefficient, R = 0.6
H0 : ρ = 0
H1 : ρ ≠ 0
We can then calculate the test statistic :
Test statistic = r / √(1 - r²) / (n - 2)
Test statistic = 0.6 / √(1 - 0.6²) / (8 - 2)
Test statistic = 0.6 / 0.3265986
Test statistic = 1.837
Pvalue from test statistic : = 0.11583
α = 0.01
Pvalue > α ;
We fail to reject the null
which digit have the same place value and face value in 6782 1904
4 and 0 has the same place value and face value.
Hope this is helpful :)
Answer:
0 and 4 are the digit which have same place and face value.
The total cost c a roof technician charges to fix a sink in a house depends on the number h of hours it takes to assess the damages to the roof and repair the roof. This situation can be represented by the function rule 32h + 145. What is the total cost the roofer will charge if he works for 19.25 hours?
Answer:
I believe it is 761 is the cost the roofer will charge.
Step-by-step explanation:
First: Multiply 32 with 19.25 (standing for h), which equals to 616.
Second: Add 616 with 145, which adds up to 761.
In the diagram below, JK is similar to MNO. If segment Mn is 8 cm, segment Bo is 18 cm, segment OM is 20 cm, and segment JK is 22 cm, how long is segment LJ?
Answer:
55 cm
Step-by-step explanation:
[tex]\frac{22}{8} =\frac{x}{20} \\8x=440\\x=55cm[/tex]
I NEED HELP WITH MY HOMEWORK ASAP!!!!
I dont get it :(
5. A rectangular parking lot has the length (x + 7) and width of (x + 10). If the total area of the parking lot is
180 m, what are the dimensions of the parking lot?
length
width =
Answer:
length = 12
width = 15
Step-by-step explanation:
if you foil (x+7)(x+10) you get:
x²+17x-110 = 0
the factors are:
(x+22)(x-5) = 0
x = -22 and 5
we can dismiss the negative as irrelevant for a measure; therefore, x = 5
length = 5+7, or 12
width = 5+10, or 15
Boxers in the nineteenth century used their bare fists. In modern boxing,
fighters wear padded gloves. How do gloves protect the brain of the boxer from
injury?
Answer:
boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security
it is not 1070ml
plz helpppp
Answer:
the answer is 1.7 litres
to compare we must have all quantities in the same unit
converting 1.7 litres to milliliters1.7 × 1000 = 1700 ml
hence, 1700 ml is the largest capacity from the given options
In the graph above, which vertical line (v) and horizontal line (H) can be used to graph point C
Answer:
V: x= -3
H: y= -3
Step-by-step explanation:
the radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
jose 25 kg is father is 5 kg less than 3 times jose's weight what is the weight of jose father
Answer:
Jose's father weighs 70 kilograms.
Step-by-step explanation:
Given that Jose weighs 25 kg, while his father is 5 kg less than 3 times Jose's weight, to determine what is the weight of Jose father the following calculation must be performed:
Jose = 25
Father = 3J - 5
3 x 25 - 5 = Father
75 - 5 = X
70 = X
Therefore, Jose's father weighs 70 kilograms.
The question is in the picture.
Answer:
I’m pretty sure it’d be 17 because 15 is the lower extreme.
Step-by-step explanation:
I just learned this. 17 would be the Q1, 20 would be Q2, and 23 would be Q3. I hope this helped you out :)
Which expression will solve for the area of the shaded portion, in square inches?
Answer:
I might be wrong but It's C
108-4
Step-by-step explanation:
I wrote on a sheet of paper and checked over my response to your question.
The length of a rectangle is 7.5 inches and the width is 2.75 inches. What is the ratio, using whole numbers, of the length to the width
30:11
30:22
11:15
15:11
Answer:
30 : 11
Step-by-step explanation:
Length : Width
7.50 : 2. 75
750 : 275
30 x 25 : 11 x 25
30 : 11