Answer:
false.
Step-by-step explanation:
A conditional statement is something like:
If P, then Q.
This means that if a given proposition P is true, then another proposition Q is also true.
An example of this is:
P = its raining
Q = there are clouds in the sky.
So the conditional statement is
If its raining, then there are clouds in the sky.
A biconditional statement is:
P if and only if Q.
This means that P is only true if Q is true, and Q is only true if P is true.
So, using the previous propositions we get:
Its raining if and only if there are clouds in the sky.
This statement is false, because is possible to have clouds in the sky and not rain.
(this statement implies that if there are clouds in the sky, there should be rain)
Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.
Then these statements are not logically equivalent.
The statement is false.
Find the roots of the following equations: x-1/X=3,X is not equal to zero.
Step-by-step explanation:
X-1/X=3
X-1=3×X
X-1=3X
-3X+X=1
-2X=1
X=1/2 Answer
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Step-by-step explanation:
tangent = opposite / hypothenus
tan C = ED / DC
tan C = 28 / 53
Answer:
I just go it wrong, it's 28/45
Step-by-step explanation:
What are the minimum and maximum distances that Morgan’s dog may be from the house? (Algebra ll) *URGENT*
Given:
The minimum and maximum distance that the dog may be from the house can be found by using the equation:
[tex]|x-500|=8[/tex]
To find:
The minimum and maximum distance that the dog may be from the house.
Solution:
We have,
[tex]|x-500|=8[/tex]
It can be written as:
[tex]x-500=\pm 8[/tex]
Adding 500 on both sides, we get
[tex]x=500\pm 8[/tex]
Now,
[tex]x=500+8[/tex] and [tex]x=500-8[/tex]
[tex]x=508[/tex] and [tex]x=492[/tex]
The minimum distance is 492 meters and the maximum distance is 508 meters.
Therefore, the correct option is C.
A shopkeeper allows discount of 12% on the marked price of a certain article and makes a profit of 10%. if the article costs the shopkeeper Rs.420. what price should be the marked price?
Answer:
rs288
Step-by-step explanation:
MP of the article = 210×120100×10087.5= Rs.288210×120100×10087.5= Rs.288
Part of solved Discount questions and answers : >> Aptitude >> Discount
Mike was in charge of collecting contributions for the Food Bank. He received
contributions of:
$40, $80, $60, $40, and $100
Find the mean, median, and mode of the contributions.
What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)
$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean
what is median: The median is the value separating the higher half of a data sample
40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.
What is Mode: the number that repeats the most
Mode is 40 because 40 repeats twice
Solve for x. Round to the nearest tenth of a degree, if necessary.
From one of the trigonometric ratios, tan(x), it is possible to find that x is equal to 52.1°.
Trigonometric RatiosThe main trigonometric ratios for a right triangle are presented below.
[tex]sin(x)= \frac{opposite\; side}{hypotenuse} \\ \\ cos(x)= \frac{adjacent\; side}{hypotenuse} \\ \\tan(x)= \frac{sin(x)}{cos(x)} =\frac{opposite\; side}{hypotenuse}* \frac{adjacent\; side}{hypotenuse}=\frac{opposite\; side}{adjacent\; side}[/tex]
For solving this question, you need to apply the a trigonometric ratio . You have the dimensions of two sides and you need to find the angle x.
Thus, you can apply the tan(x).
[tex]tan(x)= \frac{opposite\; side}{adjacent\; side}=\frac{36}{28} =\frac{9}{7}[/tex]
After that, you should calculate the arctan(x).
[tex]arctan\left(\frac{9}{7}\right)=52.1^{\circ \:}[/tex]
Then x= 52.1°
Learn more about trigonometric ratios here:
brainly.com/question/11967894
Which polynomial function has a leading coefficient of 3 and roots 4, I, and 2, all with multiplicity 1? Of(x) = 3(x + 4)(x - 1)(x - 2) O f(x) = (x - 3)(x + 4)(x - 1)(x - 2) f(x) = (x - 3)(x + 4)(x - 1)(x + 1)(x - 2) O f(x) = 3(x + 4)(x - 1)(x + 1)(x - 2) N
Note: There must be -4 instead of 4 otherwise all options are incorrect.
Given:
A polynomial function has a leading coefficient of 3 and roots -4, 1, and 2, all with multiplicity 1.
To find:
The polynomial function.
Solution:
The general polynomial function is defined as:
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]
Where, a is the leading coefficient, [tex]c_1,c_2,...,c_n[/tex] are the zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.
It is given that a polynomial function has a leading coefficient of 3 and roots 4, 1, and 2, all with multiplicity 1. So, the polynomial function is defined as:
[tex]P(x)=3(x-(-4))^1(x-1)^1(x-2)^1[/tex]
[tex]P(x)=3(x+4)(x-1)(x-2)[/tex]
Therefore, the correct option is A.
-2
Simplify the expression
4ab
Assume a = 0,6=0.
1
16a2b2
a²b²
4
-162²62
16ab2
Answer:
D
Step-by-step explanation:
(4ab)^2 = 4^2a^2b^2 = 16a^2b^2
What is the missing reason for the 3rd
step in the proof below?
Answer:
Multiplication property of the equality
which of the following are solutions to the equation 2cos2x-1=0
Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4
I would appreciate the help on all of these :)
Answer:
Pythagoras theorem states that c²=a²+b²
14²=12²+x²
14²-12²=x²
196-144=x²
52=x²
√52=√x²
7.2111025509279785=x
rounded up to the nearest hundredth=7.21
A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?
SOMEONE PLEASE HELP ME.
Answer:
118/125
Step-by-step explanation:
We can find first the probability that there isn’t suitable weather:
60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125
now we have just to do this operation
125/125 - 27/125 = 118/125
What is the slope of the line? What is the y-intercept of the line? y = -3x + 4
Answer:
slope= -3/1
y-intercept= 4
Answer:
m = -3
y intercept = 4
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = -3x+4[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = -3 [/tex]
[tex]\implies y - intercept= 4 [/tex]
what is the measure of 4?
Answer:
11x + 8 = 12x - 4
x=12
∠ 4 = 180-140 = 40°
Step-by-step explanation:
45 people were surveyed. 33 people like hamburgers, 18 people like hamburgers and hot dogs. How many people like hot dogs?
Answer:
12
Step-by-step explanation:
45-33 is 12
And I guess to check, make sure 12 < 18
Solve the equation and enter the value of x below. 7x + 6x= 52
Hello!
7x + 6x = 52 <=>
<=> 13x = 52 <=>
<=> x = 52 : 13 <=>
<=> x = 4 => 7 × 4 + 6 × 4 = 52
Good luck! :)
One hundred rats are being trained to run through a maze and are rewarded when they run through it correctly. Once a rat successfully runs the maze, it continues to run the maze correctly in all subsequent trials. The number of rats that run the maze incorrectly after t attempts is given approximately by Find the number of trials required such that only % of the rats are running the maze incorrectly. Round to the nearest trial.
Answer:
6 trials
Step-by-step explanation:
The number of rats that run the maze incorrectly after t trials ;
N(t) = 100e^-0.14t
Initial number of rats = 100
45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats
N(t) = 45
N(t) = 100e^-0.14t
45 = 100e^-0.14t
45/100 = e^-0.14t
0.45 = e^-0.14t
Take the In of both sides :
In(0.45) = In(e^-0.14t)
- 0.798507 = - 0.14t
Divide both sides by -0.14
- 0.798507 / - 0.14 = - 0.14t / - 0.14
5.7036 = t
To the nearest whole number :
Number of trials, t = 6 trials
solve: 7m + 12 = −4m + 78
7m + 12 = -4m + 78
7m + 4m = 78 - 12
11m = 66
m = 6
I hope you understand...
Mark me as brainliest...
( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?? Solve fast
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
the question is on the image
Answer:
(i) - rectangular prism
(Ii) - triangular prism
(iii) - square pyramid
Step-by-step explanation:
Please Help!!!
Find a value for C that will give the following system no solution:
3x-2y=3
6x+cy=4
Answer:
c = - 4
Step-by-step explanation:
Nothing else matters except that the number associated with the y value in equation one = 1 and the number in front of x is known in equation 1. Then we'll get around to looking at c
Add 2y to both sides of equation 1 (the top equation)
3x - 2y + 2y = 3 + 2y
3x = 2y + 3
Now divide both sides of the equation by 2
3x/2 = y + 3/2
What's in front of x? It is (3/2)
So divide both sides of 6x + cy = 4 by c
6x/c + y = 4/c
Now put 6x/c on the right hand side so y is by itself.
y = -6x/c + 4/c
What do you have to do now?
You must equate -6x/c = 3/2x
Why?
The slopes have to be the same so the lines are parallel and never cross. That will give no solutions.
-6x/c = 3x / 2 Divide both sides by x
-6/c = 3/2 Cross multiply
3c = - 6 * 2 Combine
3c = - 12 Divide by 3
c = - 12/3
c = - 4
Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.
Answer:
A. 4.44years
B. 1.5years
C. Yes
Step-by-step explanation:
a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts
First step is to determine the Annual discount for dead-bolts using this formula
Annual discount for dead-bolts=Discount percent × Annual premium
Let plug in the formula
Annual discount for dead-bolts=0.05 × $450
Annual discount for dead-bolts=$22.50
Now let determine the Recovery period using this formula
Recovery period=Cost of dead-bolts / Annual discount for dead-bolts
Let plug in the formula
Recovery period= (2 × $50)/ $22.50
Recovery period=$100/$22.50
Recovery period= 4.44years
Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years
b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors
First step is to calculate the Annual discount for smoke alarms using this formula
Annual discount for smoke alarms=Discount percent × Annual premium
Let plug in the formula
Annual discount for smoke alarms=0.02 × $450
Annual discount for smoke alarms=$9.00
Now let determine the Recovery period using this formula
Recovery period=Cost of smoke alarms / Annual discount for smoke alarms
Let plug in the formula
Recovery period=(2 × $7) / $9.00
Recovery period=$14/$9.00
Recovery period= 1.5 years
Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years
C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.
Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a shadow that is 2.4 meters long. How tall is the tree?
Answer:
13.6 meter
Step-by-step explanation:
Given that :
Suzi's height, p1 = 1.7 m
Suzi's shadow, p2 = 0.3 m
Tree shadow, t2 = 2.4 m
Tree height, t1 =?
Using the relation :
p1 / p2 = t1 / t2
1.7 / 0.3 = t1 / 2.4
Cross multiply :
1.7 * 2.4 = 0.3 * t1
4.08 = 0.3t1
t1 = 4.08 / 0.3
t1 = 13.6
Height of the tree is 13.6 m
SOMEONE HELP ASAP PLEASE
Answer:
29%
Step-by-step explanation:
First, let's fill in the table.
Male:
Freshmen: 4
Sophomore: 6
Juniors: 2
Seniors: 2
Total: 4 + 6 + 2 + 2
Total: 14
Female:
Freshmen: 3
Sophomore: 4
Juniors: 6
Seniors: 3
Total: 3 + 4 + 6 + 3
Total: 16
Now, to find the probability that a male would be a freshmen, we would do:
4/14
Convert it to a decimal:
.285
Convert to percentage:
29%
So, there is a 29% chance that a male is a freshmen.
Its about similar figures and scale drawing
No links
Answer:
5 in
Step-by-step explanation:
by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5
Answer: X = 5
Step-by-step explanation:
4 divided by 2 = 2
So 10 divided by 2 = 5
What is the value of x?
1/2(x+6)=18
Answer:
30
Step-by-step explanation:
Multiply by 2 to 18, x+6=36
subtract 6 x=30
x=30
A basketball court measures 998 inches on the sides while the baseline stretches 700 inches. There is a circle in the middle of the court that has a diameter of 72 inches. The team can fit 14 people in the circle at one time. How many people can fit on a court?
698,600 people
50,000 people
1296 people
2402 people
Answer:
2402 people.
Step-by-step explanation:
Since a basketball court measures 998 inches on the sides while the baseline stretches 700 inches, and there is a circle in the middle of the court that has a diameter of 72 inches, and the team can fit 14 people in the circle at one time To determine how many people can fit on a court, the following calculation must be performed:
Area of a circle:
3.14 x (72/2) ^ 2 = X
3.14 x 36 ^ 2 = X
3.14 x 1.296 = X
4,069.44 = X
Area of a rectangle:
998 x 700 = X
698,600 = X
4,069.44 / 14 = 290.67
698,600 / 290.67 = 2,402
Use the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9
Answer:
45 x 56=
2520 and
5 x 7=35*8=280*9=2520
2520=2520
Hope This Helps!!!
What is the value of d?
A)80
B)100
C)84
D)50
Answer:
100 degrees
Step-by-step explanation:
You can tell by just looking at the picture :)
