Answer:
a. True
b. False
c. True
d. True
e. False
f. True
g. False
h. True
i. True
j. True
Step-by-step explanation:
The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.
Answer:
true
false
true
true
false
true
false
true
true
true
Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?
Answer:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Step-by-step explanation:
Given
[tex]t= thickness[/tex]
[tex]h =height[/tex]
From the first statement, we have that:
[tex]t\ mm \ge 0.1 * h\ cm[/tex]
Convert mm to cm
[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]
[tex]t\ *0.1 \ge 0.1 * h[/tex]
Divide both sides by 0.1
[tex]t \ge h[/tex]
From the second statement, we have that:
[tex]Cost \le 12.2[/tex]
Substitute 0.2 + t + 0.5h for Cost
[tex]0.2 + t + 0.5h \le 12.2[/tex]
Collect Like Terms:
[tex]t + 0.5h \le 12.2-0.2[/tex]
[tex]t + 0.5h \le 12.0[/tex]
So, the inequalities are:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Answer: it's a, the answer
Step-by-step explanation:
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8
Answer:
m<5=101.9 m<8=101.9
Step-by-step explanation:
alternate interior and vertical angles
Answer:
(a) m∠5=<4[alternate angle]=101.9°,
(b) m∠8=<5[vertically opposite angle]=101.9°,
How are these three numbers related. 50 1/2, 1/4, 202
Answer: If you divide 202/4=50.5 or 50 1/2
Step-by-step explanation:
Find two numbers whose sum is 8 and whose product is 17
Answer:
Step-by-step explanation:
x+y = 8
y = 8-x
xy = 17
x(8-x) = 17
8x - x² = 17
x² - 8x + 17 = 0
Quadratic formula
x = [8 ± √(8² – 4·1·17)] / [2·1]
= [8 ± √(-4)] / 2
= [8 ± 2i] /2
= 4±i
x = 4+i
y = 4-i
A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,
a+b=8
The product of the two numbers is,
ab=17
b=17/a
now, the equation can be written as,
a+b=8
a+(17/a)=8
a² + 17 = 8a
a²-8a+17=0
a = 4±i
Hence, the two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
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3/4 divided by 1/5 PLEASE ANSWER
Answer:
3.75
Step-by-step explanation:
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
15/4 = 3.75
The answer is rounded to the nearest four decimal points if necessary.
15/4 is an improper fraction and should be written as 3 3/4.
Answer:
3.75
Step-by-step explanation:
Children 4 years old or younger can ride the train for free. Write an inequality that expresses who can ride the train for free.
x<=4
x is less than or equal to four
children less than or equal to four can ride the train for free
A classroom has a presentation system that consists of four components, each of which must activate if the system is to work adequately. The first component has a reliability of 0.97, the second component has a reliability of 0.99, the third component has a reliability of 0.97, and the fourth component has a reliability of 0.93. What is the overall system reliability
Answer:
0.87
Step-by-step explanation:
According to the scenario, computation of given data are as follows,
As, each must be activated, this shows that components are in series.
So, we can calculate reliability of system by using following formula,
System reliability with components in series = System reliability 1 × System reliability 2 × System reliability 3 × System reliability 4
So, overall system reliability = 0.97 × 0.99 × 0.97 × 0.93
overall system reliability = 0.866 or 0.87
Martha will build a pool in her backyard. She wants the pool to have a rectangular shape
and to be five meters long and three meters wide. What would the area in Martha's backyard that will be lost due to the construction of the pool? There are 3.28084 feet in
one meter.
A 15 square feet
B 80.729 square feet
C 161.459 square feet
D 322.918 square feet
9514 1404 393
Answer:
C. 161.459 square feet
Step-by-step explanation:
In feet, the dimensions of the pool are ...
(5 m)(3.28084 ft/m) = 16.4042 ft
(3 m)(3.28084 ft/m) = 9.84252 ft
Then the area of the pool is ...
(16.4042 ft)(9.84252 ft) = 161.458666584 square feet
about 161.459 square feet
_____
Additional comment
If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.
What multiplication equation is represented by this picture? Explain.
Answer:
Step-by-step explanation:
Each circle represents : [tex]\frac{3}{5}[/tex] and 5 circles
5 * [tex]\frac{3}{5}[/tex]
Answer
Step-by-step explanation:
is Each circle represents : 3/2 and 5 circles
I need question 4 and 5
Answer:
4) x=14
Step-by-step explanation:
multiply the area by 2 to get 140then devide by 10 to find x
5 (a) Write the ratio 15:35 in its simplest form.
Answer:
Step-by-step explanation:
5 is a factor of 15 and 35
15:35 = 3:7
Write the equation of the line in fully simplified slope-intercept form???
Answer:
[tex]y = - \frac{4}{5} x + 3[/tex]
Step-by-step explanation:
[tex]b = 3[/tex]
[tex] - 2 = 4a + 3[/tex]
[tex]a = - \frac{4}{5} [/tex]
when the denominators are the same, the fraction with the _____ is the largest fraction
Bigger numerator
Means bigger fraction
When the denominators are the same, the fraction with the bigger numerator is the largest fraction .
What is the fraction?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.
Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .
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descrease £250 by 15%
Answer:
£212.5
Step-by-step explanation:
15% of 250 = 37.5
250 - 37.5 = 212.5
9) Linda and Maria share £200. Linda has 4 times as much money as Maria.
How much money does Maria have?
Answer:
40
Step-by-step explanation:
maria is x
linda is 4x
x+ 4x = 200
5x = 200
x= 40
Simplify the expression below.
5(7x+4y+1)+2(8x+3y+6)
help plz!
Answer:
51x+26y+17
Step-by-step explanation:
Answer:
51x + 26y + 17
Step-by-step explanation:
distribute
5(7x) + 5(4y) + 5(1) + 2(8x) + 2(3y) + 2(6)
35x + 20y + 5 + 16x + 6y + 12
51x + 26y + 17
Change 8.94 into a fraction
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
Simplify.
34x−7+2(x−2)
Answer:36x-11
Step-by-step explanation:
Answer: 36x-11
34x-7+2(x-2)
34x-7+2x-4
36x-11
Step-by-step explanation:
Help with all 3 ASAP
Answer:
The second one is right
The third one is wrong.
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
The distance from the ground to where the ladder is touching the wall is 7
feet. The distance from the wall to the base of the ladder is 4 feet. What is
the length of the ladder?
wall
ladder
Answer:
L=8.062 feet
Step-by-step explanation:
wall=7
distance=4
Pythagorean theorem
7^2+4^2=L^2
49+16=L^2
65=L^2
L=8.062 feet
The required length of the ladder is given as 8.06 feet.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.
here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06
Thus, the required length of the ladder is given as 8.06 feet.
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If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation
Answer:
16 is the answer
I hope this answer help you
Answer:
Subtract 4 1st
Step-by-step explanation:
Subtract 4 of the cars since he gave them to his brother then divide between 4
Write the percent as a fraction and as a decimal.
5% tax
Answer:
The answer would be 0.05
Step-by-step explanation:
This is because it is PER Cent so 5% is 0.05 of 1
Answer:
1/20 and 0.05
Step-by-step explanation:
please help, I'll give the correct answer brainliest.
find c and d. show your work.
9514 1404 393
Answer:
c = 6√2
d = 12
Step-by-step explanation:
The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.
The hypotenuse of an isosceles right triangle is √2 times the side length, so ...
d = c√2 = (6√2)(√2) = 6·2
d = 12
__
If you don't believe that, you can always use the Pythagorean theorem to find d:
d^2 = (6√2)^2 +c^2
d^2 = 72 +72 . . . . . . . . . since c=6√2
d = √144
d = 12
Solve the equation x² = 5. (must show equality properties in work so I can earn full credit)
A. x = 5
B. x = 25
C. x = √5
D. x = ±√5
According to the Oxnard College Student Success Committee report in the previous year, we believe that 25% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Oxnard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? Do not round mid-calculation
Answer:
sdfghj
Step-by-step explanation:
What is the difference between the greatest and the smallest rational numbers
given below?
7/15,11/20,2/5,12/25
Answer:
The difference between the greatest and smallest rational number [tex]=\frac{3}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given that the rational numbers
[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]
we have to find that the difference between the greatest and the smallest rational numbers
solution:-
The greatest rational number = [tex]\frac{11}{20}[/tex]
Convert into decimal = 0.55
The smallest rational number = [tex]\frac{2}{5}[/tex]
Convert into decimal = 0.4
The difference between the greatest and smallest rational number
[tex]= \frac{11}{20} - \frac{2}{5}[/tex]
= [tex]\frac{11-8}{20}[/tex]
[tex]=\frac{3}{20}[/tex]
Final answer:-
The difference between the greatest and smallest rational number [tex]=\frac{3}{20}[/tex]
Please help someone
Answer:
A.
Step-by-step explanation:
because a right angle was the same legnth as that figure and also you can make a L so its A