The numeric value of the expression 1/α + 1/β is given as follows:
-3/7.
How to obtain the numeric value of the expression?The quadratic function in this problem is given as follows:
4x² + 3x + 7 = 0.
The coefficients of the quadratic function are given as follows:
a = 4, b = 3, c = 7.
The sum of the roots is given as follows:
α + β = -b/a.
Hence:
α + β = -3/4
The product of the roots is given as follows
αβ = c/a
Hence:
αβ =7/4.
These values are used to obtain the numeric value of the expression, as follows:
1/α + 1/β = (α + β)/αβ = (-3/4)/(7/4) = -3/7.
(the least common multiple of α and β is αβ, and then the least common factor is used to solve the expression).
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trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?
Answer: 56.85
Step-by-step explanation:
So, what you have to do is multiply 15 x 3.79=56.85.
Michael took a graduate course at Caldwell college that cost $1,875. He had to take a student loan at a rate of 5 1/2% out to pay for it. If he plans on paying the loan off in 2 years, how much will he pay in total for the class?
Answer:
interest paid = $206.25
course = $1,875.00
total = $2,081.25
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1875(.055)(2)
I = 206.25
y = -5
2x – 4y = 18
PLEASE HELP NO LINKS
LINKS=REPORT
Answer:
x= -1
Step-by-step explanation:
since y is -5 then we would put that in the second equation:
2x - 4(-5) = 18
then it’s:
2x + 20 = 18
Then we subtract 20 from both sides
2x = -2
Last we divide both by 2 and we get x = -1
Answer:
x= -1
Step-by-step explanation:
2x + 20 =18
2x = 18 - 20
x = -1
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
≈ 6 hours 10 minutesStep-by-step explanation:
Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hourArianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hourTogether they can wash in 1 hour:
1/14 + 1/11 = 25/154Time needed to wash all the cars:
154/25 = 6.16 hours ≈ 6 hours 10 minutesAs a goalie , Brooke is practicing blocking goals . Out of 750 shots , she blocks 600 of them . What is the experimental probability that she will block the next shot?
Answer:
80%
Step-by-step explanation:
Divide 600 by 750 to find the probability
In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. Find the probability of selecting an SRS of 14,500 students in which less than 15% had ridden with a driver who had been drinking alcohol within the previous month.
NI -
16
2
Which of the following is equivalent to
O 6
08
O 12
O 64
Answer:B
Step-by-step explanation:
The equivalent expression is 8.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex](16^{3/2})^{1/2}[/tex]
This can be written as,
= [tex]16^{3/2 \times 1/2}[/tex]
= [tex]16^{3/4}[/tex] ______(1)
Now,
16 = [tex]2^4[/tex] ______(2)
Now,
From (1) and (2),
= [tex]2^{4 \times 3/4}[/tex]
= 2³
= 8
Thus,
The equivalent expression is 8.
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What is 1.154701 as a rational denominator?
Answer:
Convert to a mixed number by placing the numbers to the right of the decimal over
1000000
. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
1154701/1000000
Step-by-step explanation:
In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?
Answer:
1995
Step-by-step explanation:
Percent of students that get more than 8 hours of sleep = 100 -43 = 57%
Number of students that get more than 8 hours of sleep = 57% x 3500
0.57 x 3500 = 1995 students
PLZ HELP THIS IS TIMED
Answer:
150
Step-by-step explanation:
116
Step-by-step explanation:
area of triangle is b times h divide by 2then for square is b times h
85 EN PHYSIQUE Fonctionnement de l'ail
Le fonctionnement optique de l'oeil peut être modélisé
de façon simplifiée par une lentille simple convergente,
le cristallin. Les images des objets se forment sur la rétine,
modélisée sur le schéma par la droite (A'B').
La distance entre le cristallin et la rétine est fixe et dans la
suite, on prendra OA' = 20 mm.
Le point B', sommet de l'image formée, est construit
comme l'intersection:
- du rayon lumineux non dévié, qui passe par le sommet
B de l'objet et le centre optique o de la lentille (rayon en
rouge sur le schéma).
- du rayon lumineux parallèle à l'axe et issu du sommet B
de l'objet qui change de trajectoire après avoir traversé
la lentille et passe par le foyer F (rayon en vert sur le
schéma).
Lentille mince
convergente
lumière
B
Objet
Foyer F.
A
A
Axe principal
Image
B'
+
OF
On suppose dans la suite que OA> OF comme ci-dessus
pour avoir une image réelle.
OA'
1. Démontrer que
A'B'
A'B' A'F
puis que
ОА AB
AB OF
A'F OA'
1
En déduire que
puis que
OF
ОА
OA OA'
2. a. On suppose que OA = 25 m. Calculer OF.
b. Si OA> 25, que peut-on en déduire sur
1
ОА
Et sur
OF
puis sur OF?
C. Pourquoi dit-on en physique que « lorsque l'oeil
regarde un objet à l'infini, le foyer Fest situé sur la
rétine >>?
?
Chapitre 3. Puissances. Fonction cube et fonction inverse
Answer:
English
Step-by-step explanation:
A cylindrical container of six rubber balls has a height of 18 centimeters and a diameter of 3 centimeters. Each ball in the container has a radius of 1.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number. - Could you help me with this?
Answer:
170 cm²
Step-by-step explanation:
Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.
Hence, radius of cylindrical container = 6/2 = 3 cm
Rubber balls = 3 each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
Volume of 3 rubber balls = 3 * 113.04 = 339.12³
Take the difference to obtain answer :
Volume of cylinder - Volume of rubber ball
508.68 cm³ - 339.12³
= 169.56 cm²
170 cm² (nearest whole number
Please help me with this one
Answer:
Step-by-step explanation:
B two pairs of sides have the same slope.
I've done this before.
f(x) = cos(x - 90°)
Which is the value of f(0°)?
A 1
B 0
C-1
1
2
If you place a 38-foot ladder against the top of a 25-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
12
Step-by-step explanation:
Answer:
If you are on delta math its 28.6
Step-by-step explanation:
In the data set below, what is the mode? 9, 4, 9, 2, 8, 2, 1
Answer:
9 and 2
Step-by-step explanation:
both come out 2 times
Simply by dividing 3/5 (-4/9) ???!!
someone pls help im struggling if you do tysm ! <333 :)
Answer:
everything except -1 will be the answer
Step-by-step explanation:
4n + 13 < 9
n < -1
if n is -1, the answer would be 9(INCORRECT)
if n is -2, the answer would be 5(CORRECT)
if n is -3, the answer would be 1(CORRECT)
if n is -4, the answer would be -3(CORRECT)
twice a certain number x is less than 8. Find the range of values of the number
Answer:
F=2x +2
Step-by-step explanation:
The range of values for the certain number "x" is all real numbers less than 4.
Let's represent the certain number as "x."
The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:
2x < 8
Now, to find the range of values for "x," we need to solve for "x."
Divide both sides by 2:
x < 8/2
x < 4
So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.
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Help i dont know how to do it, pls explain also how did you get ur answer so i can gain information how to do it next time. Thank you
What is the measurement of angle 2?
A- 20 degrees
B- 30 degrees
C- 70 degrees
D- 110 degrees
Answer:
∠ 2 = 70°
Step-by-step explanation:
∠ 2 and 70° are vertical angles and are congruent, then
∠ 2 = 70°
Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?
Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.
Answer:
384 square inches
Step-by-step explanation:
The side is 10×5=50
There are 4 sides of equal surface area so we are at 200
The floor is 8×10=80 so we are at 280
The front is 8×5=40 and the back is the same so add another 40 so we are at 360
Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches
What is the area of a circle with a radius of 3 cm
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
A ≈ 28.27cm²Hope it helps!
Mark me brainliest pls......
Follow me! :)
Answer:
28.26
Step-by-step explanation:
Area of a circle:
A = πr²
A = 3.14(3²)
A = 3.14(9)
A = 28.26
A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2 + 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)
Answer:
The ball will take approximately 2.165 seconds.
Step-by-step explanation:
The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:
[tex]-16\cdot t^{2}+75 = 0[/tex] (1)
[tex]16\cdot t^{2} = 75[/tex]
[tex]t = \sqrt{\frac{75}{16} }[/tex]
[tex]t \approx 2.165\,s[/tex]
The ball will take approximately 2.165 seconds.
I’ll give Brainly est help
Answer:
B. 25
Step-by-step explanation:
PLZZ HELP!! ASAP
Two 3 digit numbers are formed using the same integers and when they are added the form another 3 digit number with the same integers, find the added number?
options
a) 954
b) 682
c) 488
d) 890
as for my ans is C...
can you correct me if im wrongX
What are the roots of the quadratic?
a) -3 and 0
b) -3 and 1
c) -1 and 3
d) -1 and -3
I need help please i don’t understand
9514 1404 393
Answer:
no
Step-by-step explanation:
The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.
The Pythagorean theorem would require for some width w ...
w^2 +24^2 = 30^2
w^2 = 900 -576 = 324
w = √324 = 18
A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.
__
The attachment shows that a width of 16 inches is not consistent with a right-angle corner.
_____
Additional comment
If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.
How do u figure out the rise and run without a graph