Bank B will cost him R3205 MORE.
He must go with Bank A.
5. Apply the law of syllogism to form a new statement based on the following:
R S: If the dog jumps in the lake, then it gets wet.
S T: If the dog gets wet, then it can’t come in the house.
The new statement becomes "If the dog jumps in the lake, then it can't come in the house".
What is the law of syllogism?Legal syllogism is a legitimate concept that deals with the law and how it is applied, specifically a type of argument that uses deductive reasoning to determine whether a given act is legal.
We have a statement:
R → S: If the dog jumps in the lake, then it gets wet.
S > T: If the dog gets wet, then it can’t come in the house.
After applying the law of syllogism to form a new statement:
R→T:
If the dog jumps in the lake, then it can't come in the house.
Thus, the new statement becomes "If the dog jumps in the lake, then it can't come in the house".
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Linear math equations pls help will give brainlest
Answer:
Problem 21:
Slope = -3
y-intercept = (0, 7)
Problem 23:
Slope = 1
y-intercept = (0, -2)
Problem 22:
Slope = [tex]\frac{2}{3}[/tex]
y-intercept = (0, 1)
Step-by-step explanation:
In the slope formula, the coefficient of x (the number times x) is the slope. The number added or subtracted from it is the y-intercept.
In problem 21, -3 is the coefficient of x, so thats the slope. 7 is what's being added, so that is the y-intercept.
In problem 23, 1 is the coefficient of x (a singular x is the same as 1, or -1 if the variable is negative), so thats the slope. -2 is what's being subtracted, so that is the y-intercept.
In problem 22, [tex]\frac{2}{3}[/tex] is the coefficient of x, so thats the slope. 1 is what's being added, so that is the y-intercept.
hope this helps!
PLEASE HELP FOR BRAINLIESTTTT!!!!
The graph below shows how much money was given to a charity over five months.
What was the least donation amount in a month?
Answer:
3800
Step-by-step explanation:
Half way between 3700 and 3900
Answer:
3800
Step-by-step explanation:
it's plotted on the line between 3700 and 3900 and 3800 would be in the middle
equation point-slope form y=4x+17
Answer:
I think it's y - 21 = 4 (x - 1)
Step-by-step explanation:
im sorry if it's wrong
I need help on these 3 problems cause I’m stuck on them someone pls help
Answer:
Step-by-step explanation:
4. Nicole can make 7 quarts of lemonade with 10 cups of sugar.
If 3/4 cup of sugar is used to make 1 quart of lemonade and 10 cups of sugar are available, then you multiply 3 times 10 (when multiplying fractions, you only multiply with the numerator, not the denominator) which will give you 30.
Now, you can write it as 30/4. Using simple division, you find that 30/4 is 7.5 (or 7 and 1/2), and because we're trying to find how many full quarts we can make using 10 cups of sugar, your answer will be 7.
5. Each person will get 0.83 repeating (or 5/6) boxes of raisins.
In this problem, we have 6 people and we have to share 5 boxes of raisins among all of them. We know that each person can't get 1 because there would have to be 6 boxes (1 for each person), so we have a fraction (or decimal, depending on where you're at).
Dividing 5/6, you'll simply get 5/6 because you can't simply this any further, but if you were to write this as a fraction, you'd get 0.83 repeating (over the 3).
6. Each class will receive 30 boxes of cracker jacks.
We know that there are 153 boxes of cracker jacks available, and this needs to then be split among 5 different classes. So, to find the answer, we have to divide 153 by 5. In doing that, we get 30.6, but because we're trying to find the whole number that the classes will receive, as you can't get a fraction of a box (at least, I assume), then each class will get 30 with 3 boxes remaining.
Tidal energy is powered by:
A. Earth's gravity.
B. the moon's gravity.
C. the thermocline of the ocean.
Tidal energy is powered by the moon's gravity
1. Which of the following are statistical questions? Select all that apply.
a. How many 6th grade students like pizza?
b. Did you go to the beach yesterday?
c. What is the favorite food of all FMS students?
d. What was the high temperature of Florida for each day of the week?
e. How does each student get to school in the morning?
what is this qouschin
Answer:
Below in bold.
Step-by-step explanation:
m < 3 = 59 degrees (alternate angles)
m < 2 = 180 - 59 = 121 degrees ( adjacent angles)
compute the probability of rolling a 12 sided die and getting a number other than 8. please help
draw the graph of y equals (2) x + 1
Answer + Step-by-step explanation:
y = 2x + 1 represents a linear function then the its graph is a line
To draw the line we have to determine two points that lie on that line
If x = 0 → y = 2(0) + 1 = 1 then the point A(0,1) lies on the line
If x = 2 → y = 2(2) + 1 = 5 then the point B(2,5) lies on the line
Now all we have to do is joining the points A and B with a line
The line AB represents our graph
Find the 97th term of the arithmetic sequence 25, 29, 33, ...25,29,33,...
If the first term is 25 and the common difference is 4. Then the 97th term of the sequence will be 409.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is given below.
25, 29, 33, ...., so on
Then the first term is 25. And the common difference is 4.
Then the 97th term will be given as
[tex]\rm a_n = a + (n - 1)d[/tex]
where
n = 97
a = 25
d = 4
Then we have
a₉₇ = 25 + (97 - 1)4
a₉₇ = 25 + 96 x 4
a₉₇ = 25 + 384
a₉₇ = 409
Then the 97th term of the sequence will be 409.
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The HHS Math Talent show is giving out cylinder trophies this year to its winners. The trophy is a cylinder with a
height of 18 cm and a radius of 6 cm. The density of gold is 19.32 g/cm and the density of silver is
10.5 g/cm?
How much heavier is the gold trophy compared to the silver to the nearest whole grom?
Need mas
Find volume
πr²hπ(6)²(18)36(18)π2034.7cm³Mass
Density×VolumeAs volume is same
Divide their densities to find ratio
Gold /Silver19.32/10.51.84 times heavier is goldCan you guys help me please :(
The area of the first, second, third, and fourth circles will be 56.72 cm², 36.3 ft², 167.33 m², and 188.6 yd² respectively.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
Then the radius and diameter are given below.
[tex]\rm r_1 = 4 \dfrac{1}{4} = \dfrac{17}{4} = 4.25 \ cm\\\\\\r_2 = \dfrac{d}{2} = \dfrac{6\frac{4}{5}}{2} = \dfrac{34}{10} = 3.4 \ ft\\\\\\r_3 = \dfrac{d}{2} = \dfrac{14.6}{2} = 7.3 \ m\\\\\\r_4 = 7\dfrac{3}{4} = \dfrac{31}{4} = 7.75 \ yd[/tex]
Then the area of the circle is given as
Area = π × r²
Then the area of the first circle will be
Area = π × r₁²
Area = 3.14 × 4.25²
Area = 56.72 square cm
Then the area of the second circle will be
Area = π × r₂²
Area = 3.14 × 3.4²
Area = 36.3 square ft
Then the area of the third circle will be
Area = π × r₃²
Area = 3.14 × 7.3²
Area = 167.33 square m
Then the area of the fourth circle will be
Area = π × r₁²
Area = 3.14 × 7.75²
Area = 188.6 square yd
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Which has a greater volume, a quart or a liter? Explain.
Answer:
A quart is a little less then a liter
Step-by-step explanation:
An easy way to figure out liters to gallons, is that a quart is a little less than a liter and 4 liters is a little more than 1 gallon. To be exact, 1 liter is 0.264 gallon (a little more than a quart), and 4 liters is 1.06 gallons.
---
Hope this helps you!
Answer:
A quart is a little less than a liter and 4 liters is more than 1 gallon. To be exact, 1 liter is 0.264 gallons (a little more than a quart), and 4 liters is 1.06 gallons.
Step-by-step explanation:
Pls help asap! 30 points!
Answer:
I got -x/2+1/2. I'll get back to you in a lil bit.
Y = 1 - 2x
-1
y-1 = - 2x
÷ -2
y-1/-2 = x
f-1(x) = x - 1/-2
Let's make x = 7
7-1/-2 = - 3
Or
y = 1 - 2x
+2x
y + 2x = 1
-y
2x = 1-x
÷2
x. = 1-x/2
f-1(x) = 1 - x/2 is your answer
Let's make x=7
1-7/2 = - 3
Hope this helps!
solve the inequality 23 + d > 35.
Answer:
[tex]d > 12[/tex]
Step-by-step explanation:
[tex]23+d > 35[/tex]
[tex]d > 12[/tex] (subtract 23 on both sides)
On reversing the digits of a two digit number obtained is 9 less than three times the original number. If the difference of these two numbers is 45 find the original number
Answer:
original number: 27
reversed number: 72
Step-by-step explanation:
Let the tens place digit = a
Let the units place digit = b
⇒ Original two-digit number = 10a + b
⇒ Reversed two-digit number = 10b + a
If the reversed two-digit number is 9 less than 3 times the original number:
⇒ 10b + a = 3(10a + b) - 9
⇒ 10b + a = 30a + 3b - 9
⇒ 7b = 29a - 9
If the different of the two numbers is 45 (and the reversed number is larger than the original number):
⇒ (10b + a) - (10a + b) = 45
⇒ 10b + a - 10a - b = 45
⇒ 9b -9a= 45
⇒ 9(b - a)= 45
⇒ b - a= 5
⇒ b = 5 + a
Substitute b = 5 + a into 7b = 29a - 9 and solve for a:
⇒ 7(5 + a) = 29a - 9
⇒ 35 + 7a = 29a - 9
⇒ 44 = 22a
⇒ a = 2
Finally, substitute the found value of a into b = 5 + a and solve for b:
⇒ b = 5 + 2 = 7
Therefore,
original number: 27reversed number: 72A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent of the batteries will last more than 420 hours?
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation are given, respectively, by:
[tex]\mu = 400, \sigma = 30[/tex].
The proportion of the batteries will last more than 420 hours is one subtracted by the p-value of Z when X = 420, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{420 - 400}{30}[/tex]
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
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PLEASE HELP WILL MARL BRAINLIEST
Answer:
3pi/4
Step-by-step explanation:
can't really explain it that well, but I sure hope this helps!! :)
Translate the following statement into an appropriate algebraic statement: 10 times the sum of the number of adults and 2 times the number of children is 140.
Question 1 options:
10(a + 2c) = 140
10a + 2c + 140
10(a + 2c) + 140
10a + 2c = 140
Find the area of the shaded region: 1500 7 cm A = [?] cm² Enter a decimal rounded to the nearest tenth.
The area of the shaded region is [tex]154cm^2[/tex]
Calculations and Parameters:The formula for solving the area of a circle is:
[tex]\pi r^2[/tex]
Where [tex]\pi[/tex]= 3.14
r= 7cm
To find the area, we would input the values together
[tex]3.14 * 7^2[/tex]
= 3.14 * 49
= 153.86cm^2
Rounded to the nearest tenth would be:
154cm^2
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A cyclist covers a distance of 90km in 3 hours, what is the average speed?
Answer: I think it's 30km per hour.
Step-by-step explanation:
So first you have to find what speed the cyclist is going per hour. So first I did 90/3 and that gave me 30.
write the ratio in simplest form 24:4
Answer:
6:1
Formula for this equation
Divide by 4
24 ÷ 4 = 6
4 ÷ 4 = 1
Suppose that $16,000 is deposited for five years at 5 % APR. Calculate the interest earned if interest is compounded semiannually. Round your answer to the nearest
cent.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=16000\left(1+\frac{0.05}{2}\right)^{2\cdot 5}\implies A=16000(1.025)^{10}\implies A\approx 20481.35[/tex]
$16000 for five years at 5% APR compounded semiannually gives an interest of 4481 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest compounded semiannually is,
A = P[1 + (r/2)/100]²ⁿ.
Where, A = amount, P = principle, r = rate and n = time in years.
Given, $16,000 is deposited for five years at 5 % compounded semiannually.
A = 16000[1 + (5/2)/100]²ˣ⁵.
A = 16000[1 + 0.025]¹⁰.
A = 16000[1.025]¹⁰.
A = 16000×1.28.
A = 20481.
So, the interest earned is (20481 - 16000) = 4481 dollars.
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12. Which equality represents y=3x^2+2 written in function notation?
Answer:
f(x) = 3x^2 + 2
Step-by-step explanation:
PLEASE HELP ASAP I’LL GIVE BRAINLIEST!!!
Which names the tiling?
4, 8, 4, 8
4, 4, 8
4,8,8
4,8,8,8,8
Answer:
it's 4,8,8
Step-by-step explanation:
hope it helps
2/3 employees of a company drive to work, 1/3 travel by bus and the rest walk . find the number of who walk.
6. Find the perimeter of the figure below
11 in, 13 in, 4 in, 4 in, 7 in,
27 in.
21 in.
29 in
26 in
Answer:
26 in.
Step-by-step explanation:
» Concepts
The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.
» Solution
Adding up all the sides, we get:
[tex]11+7+4+4[/tex] [tex]18+4+4[/tex] [tex]22+4[/tex] [tex]26[/tex]26 inches
The dot plots show rainfall totals for several spring storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
What is the range of rainfall for the lowland storms?
Answer:
Part A) Option c) 15.27 mm
Part B) Option b) 12.05 mm
Step-by-step explanation:
The mean is also sometimes called the average
To find the mean, you add up every number in the data set, and you divide that sum by the total number of data points within the set.
A) What is the mean rainfall for the highland storms?
The sum of the data of Highlands storms
= 2*2 + 3*4 + 2*6 + 3*8 + 4*10 + 3*12 + 4*14 + 5*16 + 5*18 + 4*20 + 2*22 + 24 + 2*26 + 2*28 + 30 + 32 = 672
the total number of data = 44
Mean = 672/44 = 15.27 mm
So, the answer is option c) 15.27 mm
B) What is the mean rainfall for the lowland storms?
The sum of the data of Lowland storms
= 3*2 + 5*4 + 3*6 + 3*8 + 5*10 + 7*12 + 6*14 + 4*16 +2*18 + 20 + 2*22 + 24 + 2*28 = 530
the total number of data = 44
Mean = 530/44 = 12.05 mm
So, the answer is option b) 12.05 mm
Answer:
30 and 26
Step-by-step explanation:
