Answer:
x = 3
Step-by-step explanation:
log 10x + log 2 = log 60
Subtract log 2 from each side
log 10x + log 2 -log 2 = log 60 - log 2
log 10x = log 60 - log 2
We know that log a - log b = log (a/b)
log 10 x = log (60/2)
log 10x = log 30
We know log a = log b that a = b
10x = 30
Divide by 10
10x/10 = 30/10
x =3
write a quadratic function in standard form whose graph passes through (-6,0)(-4,0)(-3,-18) f(x)= [answer]
Using the Factor Theorem, the quadratic equation is given by:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:
[tex]f(x) = a(x + 4)(x + 6)[/tex]
[tex]f(x) = a(x^2 + 10x + 24)[/tex]
Considering that it passes through (-3, -18), we can find a, hence:
[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]
[tex]3a = 18[/tex]
[tex]a = 6[/tex]
Hence the equation is:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
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What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter
If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Given that the radius of the circle is 5 cm and central angle is 80°.
We are required to find the area of the shaded region.
The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.
Area of circle=π[tex]r^{2}[/tex]
=3.14*25
=78.5 [tex]cm^{2}[/tex]
Area of the arc =([tex]r^{2}[/tex]Θ)/2
=(25*80π)/2*180
=(25*80*3.14)/360
=6280/360
=17.44
Area of the shaded region=78.5-17.444
=61.056
After rounding off to the nearest tenth it will be as under:
=61.06
Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
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A box contains 12 balls of which 5 are red, and 7 are blue. If 4 balls are drawn from the box, in how many ways can this be done if 1 is red and 3 are blue?
Answer:
175 ways
Step-by-step explanation:
5 balls are red, and 7 balls are blue making a total of 12 balls.
4 balls are drawn from the box,
1 ball is red and 3 balls are blue out of the 4 drawn from the box.
We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.
Since the order is not essential we use combinations to find out
5C1 * 7C3= 5*35 = 175 ways
find nth term of -15,-18,-21.....
Answer:
I think the question is from Sequence.
on the basis that I have studied I think this is the way. if I am wrong sorry
In a sale, the selling price of a bicycle is reduced by 20%. Find the sale price of the bicycle, given that its normal selling price is Rs 3300.
Answer:
1-0.2=0.8
0.8*3300= 2640
Original price = 3300
sale = 20% = 3300×20/100 = 660
Selling price= 3300-660= 2640 rs
the sale price of the bicycle is 2640 Rs
What is the value of x?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Between 02 30 and 05 15, the same day ,the volume of water in a reservoir increased from 1500 L to 14 700 L. What was the average rate of increased in volume of water, giving your answer in L/h?
Answer:
4,800
Step-by-step explanation:
(14,700- 1,500) / 2 h 45 m
= 13,200 / 2.75
= 4,800 L/h
Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs
raise in water level = 14700-1500= 13200
the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h
You have an assignment due in 2 hours, 30 minutes (150 minutes total). The assignment has 25 problems for you to complete. If you have not started yet and spend the same amount of time on each problem, how much time can you spend on each problem and complete all 25 problems in time?
Create and solve a linear inequality to determine how much time you can spend on each problem.
What does your solution from part (a) represent/mean?
PLEASE HELP !!!!!!!!!!!!!!!!!!!
Answer:
[tex]t \le 6[/tex] min
Step-by-step explanation:
The time to do 25 problems should take less than (or equal to) the 150 minutes available.
[tex]25t \le 150\\t \le 6[/tex]
HURRY PICTURE INCLUDED
The highlighted part of this picture is a good representation of which
geometric term?
OA) line segment
B) ray
OC) line
OD) plane
The highlighted part is called Ray.
By the way, In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint.A 32 oz water bottle costs $10.70.
___ oz per water bottle
___ dollars per ounce
round answer to nearest hundredth
Answer:
32 oz per water bottle
$0.33 dollars per ounce
Step-by-step explanation:
We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.
$10.70 ÷ 32= 0.334375 ------> 0.33
Rounding to the hundredths place we get $0.33.
Please I need help?!?!?!?!?!
Answer: y=7
Step-by-step explanation:
Using the formula: (y - y1) = 0 (x - x1)
Substitute x1 with -2, and y1 with 7 and set the slope as 0.
Y-7=0(x-(-2))
Y - 7 = 0 (x + 2)
Anything times 0 = 0, so cancel out the -2.
Y-7=0
Add the 7 to the 0.
Y = 7
Ms. Clark earned $32,550 in her third year as a banker and $34,150 in her seventh year. How much did she make in her tenth year? Assume that her yearly salaries form an arithmetic sequence.
Answer:
$35,350 with an increase of $400 a year
⚠️PLEASE HELP DUE SOON⚠️
if y=2x-3/3, then x=?
Answer:
Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)
Answer:
x = y/2+1/2
Step-by-step explanation:
Simplify the equation, leaving X on one side, giving you x=y/2+1/2.
a=1.34,b=0.273,c=3.3548
a×b
Answer:
0.36582
Step-by-step explanation:
(a×b)
= (1.34×0.273)
= 0.36582
Will give brainliest to correct answer
Answer:
Step-by-step explanation:
here you go.
Evaluate the following expression when x = 1.5.
Show your work!
7.5 - X
Answer:
6
Step-by-step explanation:
7.5-1.5
=6
that is easy
Solve for angle A. Please help quickly !!
Answer:
∠ A ≈ 75.7°
Step-by-step explanation:
Given
[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )
7 × sinA = 8 × sin58° ( divide both sides by 7 )
sinA = [tex]\frac{8sin58}{7}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )
Helpp me plssssss????
Answer:
C
Step-by-step explanation:
The radius is 4 making the diameter 16 you need the other side since in half so that leaves you with answer C...16[tex]\pi yd^2[/tex]
e) If A = {x:xis a letter in the word 'MATHEMATICS'}, list the members and find
n (A).
Given :
If, A = { x : x is a letter in the word 'MATHEMATICS' } .
To Find :
The members of A and find n (A).
Solution :
We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .
Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.
So,
A = { M, A, T, H, E, I, C, S }
Now, number of element in set A is 8.
Therefore, n(A) = 8 .
Which explains how the table can be used to predict the cost of any number of students attending the game?
A.The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
B. The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
C. The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
D.The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.
Answer:
The answer is B
Step-by-step explanation:
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
What is the scale length for an object that is 26”, if the scale is 1/8?
Answer:
3.25"
Step-by-step explanation:
If the scale is 1/8, then the model or drawing has lengths which are 1/8 of the objects lengths.
Find 1/8 of 26.
[tex]26 \times \frac{1}{8} = \frac{26}{8}= 3.25[/tex]
Can someone help me please?
Answer:
last option is correct: bc^5(5abc^6 + 2)
Step-by-step explanation:
What is the radius of polygon JKLMN ?
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
i need help please hurry it needs to get turned in asappppp
Answer:
11.25
Step-by-step explanation:
Help!! Please NO links or I will report you also NO fake answers!! Thanks. The image is above. ¡
Answer:
second choice, 3 in³
Step-by-step explanation:
24×1/8=3 in³
Each day for two weeks, Howard recorded values for the following two
variables.
2
• s, the number of students ahead of him in the lunch line when he got in
line
• m, the number of minutes elapsed between when he got in line and when
he sat down to eat
He then plotted his data on a scatter plot, with the horizontal axis representing
s and the vertical axis representing m, and drew a line of best fit. The equation
of the line was m = S + 1.
According to the equation of the line, if there are 52 students ahead of Howard
when he gets in the lunch line, how many minutes should he expect it to take
before he sits down to eat?
Given statement solution is :- If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.
m = S + 1
m = 52 + 1
m = 53
Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
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Which choice is equivalent to the expression below?
√20 + √45
→ √20 + √45
→ 2√5 + 3√5
Taking √5 as common.→ (2 + 3)√5
→ 5√5
Therefore, option A is correct.
2. One important factor in inventory control is the variance of the daily demand for a product. Management believes that demand is normally distributed with the variance equal to 250. In an experiment to test this belief about , the daily demand was recorded for 25 days. The data has been summarized as follows: xbar = 50.6 and s2 = 500 Do the data provide sufficient evidence to show that management's belief about the variance is untrue? (Use alpa=0.01 ).
Answer:
we reject H0 and conclude that management's belief about variance is untrue.
Step-by-step explanation:
H0 : σ² = 250
H1 : σ² ≠ 250
Sample size, n = 25
xbar = 50.6 ; s² = 500
α = 0.01 ;
The test statistic :
χ² = [(n - 1)s²] ÷ σ²
χ² = [(25 - 1)* 500] ÷ 250
χ² = (24 * 500) / 250
χ² = 12000 / 250
χ² = 48
The critical value:
df = n-1 ; 25 - 1 = 24
χ²(0.01/2 ; 24) = 45.559
Decison :
Reject H0 : if |χ² statistic| > critical value
Since 48 > 45.559
Hemce, we reject H0 and conclude that management's belief about variance is untrue.
a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.