Answer:
x + 4 < 8
- 4 -4
x < 4
Step-by-step explanation:
So, Basically anything less than 4 is a solution for this equation.
5
What are the solutions of the quadratic equation below?
2x - 2x - 9 = 0
ОА.
-119
2
OB. 33/19
2
Oc1/19
2
OD. 1+3 19
2
Reset
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The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units?
Answer:
Perimeter = 1 unit
Step-by-step explanation:
[tex]length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\[/tex]
[tex]= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit[/tex]
PLEASE HELP IM SO STUCK!
Answer:
x = 30
Step-by-step explanation:
The angle in the bottom right is 120
Call is y
y+60 = 180
y = 180-60
y =120
Opposite angles in a parallelogram are equal so the upper left angle is 120
Call the 3x +z = 120
We also know that 2x+90 +z = 180 since it forms a straight line
Subtract 90 from each side
2x+z = 90
Using 3x+z = 120 and 2x+z =90 and subtracting the second equation
3x+z = 120
-2x-z =-90
------------------
x = 30
Joy sells two types of yarn: wool and synthetic. Wool is $12 per skein and synthetic is $9 per skein. If Joy sold 16 skeins of synthetic and collected a total of $432, how many skeins of wool did she sell?
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
Which statement is false? A. A number is even if and only if it is divisible by 2. B. 3x=15 if and only if x=5. C. Two points are collinear if and only if they lie on the same line. D. Two angle form a linear pair if and only if they are adjacent
Answer:
option Ais false
Step-by-step explanation:
this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.
is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
The answer is in the picture. Click on it.
Jamie says the value of the expression 1.43 x (19/37) is close to 0.75. Does Jamie's estimate seem reasonable? Explain. *
Answer:
Jamie's estimate is correct, since the result is 2.1% less than the estimated number.
Step-by-step explanation:
Given that Jamie says the value of the expression 1.43 x (19/37) is close to 0.75, to determine if Jamie's estimate seems reasonable the following calculation must be performed:
1.43 x (19/37) = X
1.43 x 0.513 = X
0.7343 = X
0.75 = 100
0.7343 = X
0.7343 x 100 / 0.75 = X
97.9 = X
Therefore, Jamie's estimate is correct, since the result is 2.1% less than the estimated number.
Find x.
X=
400
8
Round to two decimals at each step of the problem.
Answer:
6.71
Step-by-step explanation:
→ Find a triangle to use
Tan = Opposite ÷ Adjacent
→ Rearrange to make opposite the subject
Opposite = Tan × Adjacent
→ Substitute in the values
Opposite = Tan (40) × 8
→ Simplify
Opposite = 6.71
last week Pizza Hut sold 36 pizzas,64 pepperoni pizzas and 20 veggie pizzas based on the data which number is closest to the probability that the next customer will order a cheese pizza
Answer:
13 pizzas maybe
Step-by-step explanation:
54 x 11 = ( 34 +
) x 11
Answer:
20
Step-by-step explanation:
34 plus 20 is 54
A health food store was charging $5.40 for a small salad but raised the price 8%. The new price after the increase is $5.83.
Enter an expression to show how the new price was calculated.
Answer:
[tex]\frac{8}{100}[/tex]×5.40
Step-by-step explanation:
Help please . Help . Thank you
Answer:
Total weight = 111.6 lbs
Step-by-step explanation:
Given the following data;
Length = 1 feet
Width = 9.5 feet
Height = 13.5 feet
Mass of contents = 0.87 pounds per cubic foot
To find the weight of the contents in the container;
First of all, we would determine the volume of the rectangular prism;
Volume = length * width * height
Volume = 1 * 9.5 * 13.5
Volume = 128.25 cubic feet
Next, we find the overall weight;
Total weight = volume * mass of contents
Total weight = 128.25 * 0.87
Total weight = 111.6 lbs
in a mixture of 20 litres,the pure milk is 60%,what quantity of water should be added so that pure milk becomes 40%?
Answer:
4 litres
Step-by-step explanation:
First, we are going to find 60% of 20 litres.
20 × [tex]\frac{60}{100}[/tex] = 12 litres
∴ Pure milk 12 litres.
Now we find 40% of 20 litres.
20 × [tex]\frac{40}{100}[/tex] = 8 litres
To find the quantity of water to be added we subtract the 8 litres from the 12 litres.
12 - 8 = 4 litres
∴ 4 litres of water should be added so that pure milk becomes 40%
Brainliest award: To make lime green paint requires yellow, blue, and white paint in the
ratio of 6:5:1. How much white paint is needed to make 30 gallons of lime green paint? Please explain thoroughly for each step and explain why 30 would be divided by 12.
Answer:
2.5
Step-by-step explanation:
because yellow : blue : white = 6:5:1
so divided into 6+5+1= 12 equal parts
because white = 1 part --> white = 30 : 12 = 2.5
Find all real values of a such that the given matrix is not invertible.
A= [0 9 a]
[a 1 7]
[0 a 1]
Answer:
The answer is "0,3,-3".
Step-by-step explanation:
Let the matrix is not invertible.
then |A|=0
[tex]\left|\begin{array}{ccc}0&9&a\\a&1&7\\0&a&1\end{array}\right|=0[/tex]
[tex]-a[9-a^2]=0\\\\a=0\\\\a=\pm 3\\\\a=0, 3,-3\\[/tex]
giải phương trình Bermolli : y' +[tex]\frac{y}{x}[/tex] =x[tex]y^{2}[/tex]
Answer:
y(x) = -1/(x^2 + c_1 x)
Step-by-step explanation:
Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:
Divide both sides by -y(x)^2:
-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x
Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:
( dv(x))/( dx) - v(x)/x = -x
Let μ(x) = e^( integral-1/x dx) = 1/x.
Multiply both sides by μ(x):
(( dv(x))/( dx))/x - v(x)/x^2 = -1
Substitute -1/x^2 = d/( dx)(1/x):
(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1
Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:
d/( dx)(v(x)/x) = -1
Integrate both sides with respect to x:
integral d/( dx)(v(x)/x) dx = integral-1 dx
Evaluate the integrals:
v(x)/x = -x + c_1, where c_1 is an arbitrary constant.
Divide both sides by μ(x) = 1/x:
v(x) = x (-x + c_1)
Solve for y(x):
y(x) = 1/v(x) = -1/(x^2 - c_1 x)
Simplify the arbitrary constants:
Answer: y(x) = -1/(x^2 + c_1 x)
what is the greatest number that divides 45 and 60 without leaving a remainder
The answer is in the picture. Click on it
f(x)= 2x²-3x²+1 find f(3)
Answer:
Step-by-step explanation:
f(3)=2*3^2 - 3*3^2 + 1
=2*9 - 3*9 + 1
=18-27+1
=19-27
=-8
Answer:
f ( 3 ) = -8
Step-by-step explanation:
→ Substitute x = 3 into 2x² - 3x² + 1
2 × ( 3 )² - ( 3 × ( 3 )² ) + 1
→ Simplify
-8
A kite is staked to the ground and blowing in the wind. It currently has a
string let out to a length of 89 meters. It has an altitude of 68 feet. To the
nearest tenth of a degree, find the angle of elevation.
Answer:
50 °
Step-by-step explanation:
that is the procedure above
The lower the standard error: Multiple Choice the more precisely the parameter estimates the true values. the less confident the manager can be that the parameter estimates reflect the true values. the less precisely the parameter estimates the true values. the more confident the manager can be that the parameter estimates reflect the true values.
Answer:
The more confident the manager can be that the parameter estimates reflect the true values.
Step-by-step explanation:
Standard error:
The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.
A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:
The more confident the manager can be that the parameter estimates reflect the true values.
The probability that a male professional golfer makes a hole-in-one is 1/2780. Suppose 36 professional male golfers play the sixth hole during a round of golf. Let the random variable X be the number of golfers in the group of 36 who make a hole-in-one. Calculate the probability that exactly four of the 36 golfers make a hole-in-one on the sixth hole – as actually happened during the 1989 U.S. Open
Answer:
The right solution is "[tex]9.7\times 10^{-10}[/tex]".
Step-by-step explanation:
According to the question,
The probability that male professional golfer makes hole in one will be:
[tex]P=\frac{1}{2780}[/tex]
Number of players,
n = 36
and,
[tex]q=1-P=\frac{2779}{2780}[/tex]
By using the Binomial theorem, we get
⇒ [tex]P(x=r) = \binom{n}{r} p^r q^{n-r}[/tex]
Bu substituting the values, we get
[tex]=\binom{36}{4} (\frac{1}{2780} )^4 (\frac{2779}{2780} )^{32}[/tex]
[tex]=9.74929\times 10^{-10}[/tex]
or,
[tex]=9.7\times 10^{-10}[/tex]
A square has a side length of 3x3y5. What is the area of the square?
Answer:
9x^3 y^5
Step-by-step explanation:
Since the formula to finding area is (L*W = A), we first have to find the width.
Width: 3x^3 y^5 times 2 = 6x^3 y^5
Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5
Kurt had a plate of pancakes at a diner. The bill, with tax, was $6.75. He gave the waiter a tip equal to 20% of the bill. What is the total amount that Kurt spent at the diner? A. $1.35 B. $6.89 C. $6.95 D. $8.10
Answer:
$8.10
Step-by-step explanation:
6.75 ÷ 100 = 0.0675 x 20 = 1.35
1.35+6.75=$8.10
Ty
7
What is the slope of a line that is perpendicular to the line
shown on the graph?
6
5
O-2
4
3+
2
2
0 -
0 2 / 2
o
1
O 2
1
2 3
4 5 6 7 X
7 6 5 4 3 2 - 21.
-2-
--3-
6
Answer:
-1/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
The solution is, -1/2 is the slope of a line that is perpendicular to the line
shown on the graph.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
we have to,
find the slope of the line shown using
the formula, m = y1- y2 / x1- x2
from the given graph we get,
Let
P1(0,1)
P2(1,3)
now we get,
replacing
m = 2/1
= 2
so, here, m1 = 2
two lines are perpendicular when
m1 * m2 = -1
as, we know that,
Perpendicular lines have negative reciprocal slopes.
so, we get ,
m2 = -1/2
Hence, The solution is, -1/2 is the slope of a line that is perpendicular to the line
shown on the graph.
To learn more on slope click:
brainly.com/question/3605446
#SPJ7
Write the equation of the line that passes through the points (-5, -7) and
(-3,3). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
f(x)=5x+3
Step-by-step explanation:
The slop is 5 and the y intercept is 3
So if you put that in an equation it makes 5x+3
I used the slope formula to find the slope
Subtract the y values over x values
Let f(x) = - 10x + 9 and g(x) = x2 + 12
Find f( - 4)/g( - 4)
Answer:
[tex]\frac{49}{28}[/tex]
Step-by-step explanation:
Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is
f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49
g(- 4) = (- 4)² + 12 = 16 + 12 = 28
Then
[tex]\frac{f(-4)}{g(-4)}[/tex] = [tex]\frac{49}{28}[/tex] = [tex]\frac{7}{4}[/tex]
If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same percentage rate between 2008 and 2012, calculate what the world's population would have been in 2012. Round your answer to two decimal places.
Answer:
The answer is "7.122 billion"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\to y=Ce^{kt}[/tex]
[tex]C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\[/tex]
So,
[tex]\to y=5.937e^{.013t}\\\\[/tex]
when it becomes [tex]2012, \ t=14[/tex] so plug the value into the formula
[tex]\to y= 5.937e^{.013(14)} =7.122 \ billion[/tex]
Find the quotient 5.4x10^5/1.2x10^2
Show work please! (: