Answer:
720 liters
Step-by-step explanation:
In 2019 (a non-leap year)
January has 31 days
February has 28 days
March has 31 days
The Total number of days is 90 days
Each day shows a consumption rate of 8 liters / day
Total consumption = 8 * 90 = 720
Part B
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A 3 cm, 3 cm, 3 cm
B 4 cm, 8 cm, 13 cm
C 5 cm, 9 cm, 14 cm
D6 cm,
7 cm, 8 cm
Ea 7 cm, 7 cm, 10 cm
Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
two real solutions
two imaginary solutions
one real solution and one imaginary solution
one real solution
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:
[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
No spaces in your answer boxes.
If x is our variable, write an algebraic expression for the following statement.
"the number of cents in 'x' dimes"
Answer:
Number of Cents = 10x
Step-by-step explanation:
Since w
Since we know that there are 10 cents in a dime, the amount of cents in an unknown quantity of dimes is 10 * the number of dimes.
Therefore the number of cents in x dimes is 10x
7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)
by logarithm laws
Answer:
1.5871
Step-by-step explanation:
According to the Question,
we have, 7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)The Solution, With Basic Properties of Log.
7*log15-7*log16+6*log8-6*log3+5*log2-5*log3+log32-log25
7*1.176-7*1.204+6*0.903-6*0.477+5*0.3010-5*0.477+1.505-1.3979
on Solving, We get
1.5871
Questions in the image.
Answer:
Step-by-step explanation:
1). 3x + 10
3(2) + 10
= 16
2). 14 - 2y
14 - 2(-3)
= 20
3). 7x - 5y
7(2) - 5(-3)
= 29
4). 5x + 7
5(2) + 7
= 17
5). 2x + 3y
2(2) + 3(-3)
= -5
6). 6y - 5x
6(-3) - 5(2)
= -28
Given DC = 27, A F=46, find BC.
Answer:
23
Step-by-step explanation:
BC is parallel to AtoF
BC = (1/2)AtoF
BC = (1/2)46
BC = 23
The length of side BC will be 23. Option C is corect.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
Can’t find an answer anywhere pls help <3
Step-by-step explanation:
Consider the expression below:
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } [/tex]
Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{10 \sqrt{2} \: - \: 6}{2} = - 3 + 5 \sqrt{2} [/tex]
By inspection, we can see that
a = -3 and b = 5
Answer:
[tex]a = - 3[/tex]
[tex]b = 5[/tex]
Step-by-step explanation:
Objective: Knowldge of Rationalizing Rational Functions.
Complete the LHS to find a and b.
Given
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]
Rationalize the LHS.
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times { \frac{ \sqrt{2} }{ \sqrt{2} } } [/tex]
You'll get
[tex] = 5 \sqrt{2} - 3[/tex]
Flip is equation around.
[tex] - 3 + 5 \sqrt{2} [/tex]
This means that a equal -3 and b equal 5.
Find the length of the hypotenuse to the nearest tenth (example 4.5)
6
co
2
Answer:
hypotenuse = 6.3
Step-by-step explanation:
here 6 and 2 are the legs of the triangle . we are asked to find hypotenuse (longest side)
using pythagoras theorem
a^2 + b^2 = c^2
6^2 + 2^2 = c^2
36 + 4 = c^2
40 = c^2
[tex]\sqrt{40}[/tex] = c
6.32 = c
6.3 = c
If the events have the same theoretical probability of happening, then they are called
Answer:
if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space
Evaluate the expression below when x = 4 and y = -2 *
Answer:
Evaluate the expression below when x = 4 and y = -2 *
hii your question is incomplete
can you please recheck once
there is no expression given
A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))
Answer:
1500 because if you mutiply by 35 u will get it
Step-by-step explanation:
Answer:
ratio of required answer
7×(:)5×also given
=)5×=150×=¹⁵⁰=305
now putting the value of × in another give
Required mum
7x+5x
12x
2(30)=360Step-by-step explanation:
HOPE IT'S HELP
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Because some of the athletes participated in more than one event.
can somebody help me with this
Answer:
If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1
9/a = -1
a = -9
Answer:
-9
Step-by-step explanation:
flip and change the sign of [tex]\frac{3}{4}[/tex]
[tex]\frac{4}{-3}[/tex]
set equal to each other
[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]
cross multiply
4a = -36
divide by 4
a = -9
What is the value of x in the equation 5x−6=−36?
Answer:
5x−6=−36
5x=-30
X=-6
5*(-6)-6=-36
-30-6=-36
-36=-36
Your Welcome
BIFFY OUT!!!
Answer:
x=(-6)
Step-by-step explanation:
So first do the inverse operation.
5x-6=(-36)=5x+(-6)=-36
Subtract the constant
-36-(-6)=-36+6=-30
5x=(-30)
x=-6
What type of transformation does shape A undergo to form shape B?
Answer:
Rotated 90° counterclockwise, then reflected across the y-axis
Step-by-step explanation:
If PQ = 15 and QR = 13, what is PR? Write your answer as a decimal or integer.
Answer:
28
Step-by-step explanation:
Please answer these graph questions for the following! (✿◡‿◡)
a) how far did he go before stopping?
b) which part of the journey is the traveling the fastest a, b, c, or d?
c)what was his speed on the last section of his journey (d)?
Answer:
60
a
30
Step-by-step explanation:
I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie
892.8571428571429 to the nearest whole number
Answer:
893
Step-by-step explanation:
To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.
Hope this helps.
[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]
They are those that do not have numbers after the point that are not zeroAnswer:
The closest number is 893
Att- Brook2007s
Saludos ten lindo día uwu
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinate or the point N is (2,3)
Step-by-step explanation:
The formula for the midpoint of two points is;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
for AB
A(-1,3) and B (7,-3)
We have;
(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)
For CM;
C(1,6) and M(3,0)
(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
I need help. ASAP. PLEASE.
Ok, so I got this formula from another answer and want someone to help me in explaining how they got to this formula. I understand where they got the constant from, where they got the a-value, but I don't understand where they got b = 2. Please help. We're dealing with a quadratic function here, in which the rate of change is generally -0.2. Thank you to anyone who responds.
a) There are 15 teachers in a school and 10 of them are male teachers. i) Find the ratio of the number of male and female teachers. (ii) Find the ratio of the number of female teachers and the total number of teachers. One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles.
Answer:
i) 2:1
ii) 1:3
iii) 5:4
Step-by-step explanation:
i) Male teachers : Female teachers
10 : 15-10
10 : 5
2 : 1
ii) Female teachers : Total teachers
5 : 15
1 : 3
iii) Do remember that two angles are called complementary if their measures add to 90 degrees.
Hence, ration of the pair of complementary angles = 50 : 90-50
= 50 : 40
= 5 : 4
Answer:
Step-by-step explanation:
Total number of teachers = 15
Given number of male teachers = 10
Therefore number of female teachers = 15 - 10 = 5
i)
Ratio of male and female teachers
[tex]\frac{male}{female} = \frac{10}{5} = \frac{2}{1}\\\\Ratio = 2 : 1[/tex]
ii)
Ratio of female teachers and total number of teachers
[tex]\frac{female}{total\ teachers} = \frac{5}{15} =\frac{1}{3} \\\\Ratio = 1 : 3[/tex]
iii)
If x and y are complementary angles, then x+ y = 90°
Given : one angle, x = 50°
Therefore, 50° + y = 90°
y = 90 - 50 = 40°
Ratio of the pair of complementary angles
[tex]\frac{x}{y} = \frac{50}{40} = \frac{5}{4} \\\\Ratio = 5 : 4[/tex]
Suppose 0 is an angle in the first quadrant and cos(0) = 1 What is the value of sin(0)?
Answer:
Step-by-step explanation:
I'm going to use a Pythagorean identity to help make this make sense.
[tex]sin^2\theta+cos^2\theta=1[/tex]
We are given that cos(0) = 1, so
cos²θ = 1² which simplifies to
cos²θ = 1. So filling into our trig identity:
sin²θ + 1 = 1 and
sin²θ = 0 then
sinθ = √0 so
sinθ = 0
[tex]sin^{-1}\theta=0[/tex] so
sin(0) = 0
The lines below are parallel.if the slope of the green line is -2, what is the slope of the red line?
Answer:
-2
Step-by-step explanation:
If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.
PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY
Answer:
Growth
Step-by-step explanation:
When x value increase, y value also increase, So growth.
When x = 1 ;f(1) = 2
When x = 2 ; f(2) = 2² = 4
When x = 3 ; f(3) = 2³ = 8
Answer:
Exponential Growth
Step-by-step explanation:
I found this photo that helps differentiate both growth and decay :)
I hope this helps! :)
What is the answer of (x+y÷x-y)÷(y+x÷y-x)
Answer:
[tex]{ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}[/tex]
Answer: = -1
QUESTION 3 3.1.1 If y= 2x2 - 1. What is the value of y when x = -2?
Answer:
7
Step-by-step explanation:
answer is in photo above
Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p
Answer:
Value of p is 3
Step-by-step explanation:
One of the root is 1.
So, putting 1 in the place of x in the given equation,
px²-4x+3p-8=0
or, p-4+3p-8=0
or, 4p-12=0
or, 4p=12
or, p=3
Answered by GAUTHMATH
2 2/9+1 4/9 in simplest form
Answer:
[tex]2 \frac{2}{9} + 1 \frac{4}{9} \\ = \frac{20}{9} + \frac{13}{9} \\ = \frac{33}{9} \\ = 3 \frac{2}{3} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]
write the time on the digital watch in words 21:02
It is two minutes past nine
f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
The graph of g(x) passes through the point (3,3).
To find:
The function g(x).
Solution:
From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
It can be written as:
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get
[tex]3=k(3)^2[/tex]
[tex]3=k(9)[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.