Answer:
<
Step-by-step explanation:
-0.5 is greater than -0.64
We need to find the symbol -0.64 ,0-0.5. -0.64<0-0.5.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find which symbol is used between Minus zero point six four and minus zero point five.
-0.64 and -0.5
As we know that the integers are number with positive, Negative and zero.
-0.64<-0.5
On the number line the integer -0.64 lies on left of -0.5.
So -0.64 is less than -0.5.
Hence -0.64 is less than -0.5.
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Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
the first step is to add 4 to both sides since we need to get x alone on one side
-2x - 4 > 8
+4 +4
so we are left with -2x > 12
we still need to get x alone so we have to divide -2 from both sides
always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.
-2x/-2 = x
12/-2 = -6
so the answer is x < -6
Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) = -11
Select the correct choice below:
A) A quadratic model does exist. It is f(x)= ?
B) A quadratic model does not exist.
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
Find the measure of ∠B. Angles are in the image below, Need answers ASAP if possible thanks!
Answer:
30
Step-by-step explanation:
The red square means it equals 90 degrees
90 - 60 = 30
I hope this helps
Triangle ABC is similar to triangle DEF.
Side AB is the longest side of ABC. It measures 12 centimeters.
Side DE is the longest side of DEF. It measures 8 centimeters.
What is the scale factor that takes triangle ABC to triangle DEF?
Answer:
1.5
Step-by-step explanation:
12 / 8 = 1.5
Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?
Answer:
i think 9900
Step-by-step explanation:
225x20 = 4500
180x30 = 5400
5400+4500 = 9900
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?
A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.
On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.
The height h, is given as:
h = 16[tex]t^{2}[/tex] + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of free fall,
S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]
= 94.694
t = [tex]\sqrt{94.694}[/tex]
= 9.7311
t ≅ 10 seconds
The time taken for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
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Write a ratio for 2 batches of this recipe.
does the graph represent a function?
Answer:
No
Step-by-step explanation:
fails the vertical line test, a test to see if a vertical line can touch 2 points on a graph at the same time.
if a2-b2=c2. find c if a=5 and b=3
Answer:
c=2
Step-by-step explanation:
translation:
5x2-3x2=c2
10-6=4
4=c2
4/2=c2/2=c=2
When a = 5 and b = 3, the value of c is 4, based on the equation [tex]a^2 - b^2 = c^2[/tex].
Given the equation [tex]a^2 - b^2 = c^2[/tex] and the values a = 5 and b = 3, we can substitute these values into the equation and solve for c.
Substituting a = 5 and b = 3:
[tex](5)^2 - (3)^2 = c^2\\\\25 - 9 = c^2\\\\16 = c^2[/tex]
Taking the square root of both sides:
c = √16
c = 4
Therefore, when a = 5 and b = 3, the value of c is 4.
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Complete Question:
If [tex]a^2 - b^2 = c^2[/tex]. find c if a=5 and b=3.
Solve the compound inequality.
3x + 1 <4 or 9x > 31
Answer:
Step-by-step explanation:
3x < 4 - 1 or x > 31/9
3x < 3 or x > 31/9
x < 1 or x > 31/9
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx
Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.In this problem, the product is composed by flakes and raisins, and we have that:
[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]
Hence, the distribution for the total amount of product has mean and standard deviation given by:
[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]
[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]
The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 540}{25}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
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How much would $100 invested at 6% interest compounded monthly be
worth after 20 years? Round your answer to the nearest cent.
Answer:
331.02
Step-by-step explanation:
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.
(a) Write an equation of the line that passes through the point and is parallel to the given line.
(b) Write an equation of the line that passes through the point and is perpendicular to the given line.
9514 1404 393
Answer:
parallel: y = x -1perpendicular: y = -x -3Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
9514 1404 393
Answer:
parallel: y = x -1
perpendicular: y = -x -3
Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?
The number of paintings the designer can hang is 32.
In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.
Number of paintings = length of hallway / length of paintings
The unit of measurement of the hallway and the paintings have to be the same length,
1 foot = 12 inches
24 feet x 12 = 288 inches
Number of paintings = 288 / 9 = 32 paintings
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The original price of a dress is 95.00. A discount of 10% is offered for cash payment. How much does one save by paying cash for the dress?
Answer:
10% of 95 is 9.5
So 95 - 9.5 = 85.5
no link fast but righ and if you get the answer right can you help me with other question
Answer:
12 inches
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
113.04 = 1/3*3.14 ( 3)^2 h
113.04 = 9.42 h
Divide each side by 9.42
113.04/9.42 = h
12 = h
12 inches
Answer:
Height = 12 in
Step-by-step explanation:
Volume Cone = 1/3(πr²h)
113.04 = 1/3(3.14)(3²)(h) [tex]\longmapsto[/tex] Note that the 1/3 and 9 simplify
113.04 = 3.14(h)(3)
37.68 = 3.14(h)
h = 12
-Chetan K
fill in the missing value in each equation:
a)0.25+_____=0
b)-5×_____=-5
c)_____×-6=0
Answer:
a) -0.25
b) 1
c)0
Step-by-step explanation:
a) 0.25 + (-0.25)=0
b) -5*1=-5
c) 0*(-6)=0
If M is the midpoint of JK and N is the midpoint of JL, find the value of x.
Answer options:
11
13
9
12
10
Answer:10
Step-by-step explanation:
How do I do this question!
Answer:2 x 3
Step-by-step explanation:
Answer: [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.
We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number
2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]
Now we set up an equation.
[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]
Solve for x by cross multiplying and dividing.
[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)
[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]
Now we simplify the fraction.
[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]
[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.
An inventor makes a rectangular array of 1024 LEDs. Each row will
have 16 LEDs. How many rows of LEDs does he need?
Answer:
64
Step-by-step explanation:
Since the total area of the rectangle (in this case number of leds) is:
Total LEDs = rows * columns
you can just replace the values:
1024 = 16 * x
And then divide 1024 / 16 to find x
x = 64
A Gardner has 1 1/4 cubic feet of soil available for filling pots. Each pot will need 2/5 cubic foot to be filled. What is the greatest number of pots that the gardener fill
The greatest number of pots that can be filled is 3.
In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.
Number of pots that can be filled = 1 1/4 ÷ 2/5
= 5/4 ÷ 2/5
= 5/4 x 5/2 = 25/8 = 3 1/8
Thus, the greatest number of pots that can be filled is 3.
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It takes Shawn 4 more hours to stain a deck than Michelle. Together it takes them 4.8 hours to complete the work. How long would it take Shawn to stain the deck by himself?
Answer:
4.4 hours
Step-by-step explanation:
It would take Shawn 4.4 hours, as this would give a time of .4 hours to Michelle, totaling 4.8 hours
draw a diagram for this fraction
7/2
Answer:
You can't draw a diagram for a improper
fraction
If here are approximately 15000 red cabs in Hong Kong. This represents approximately 80% of the total taxis. Find the total number of taxis in Hong Kong.
Answer: 18,750
Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.
I need help please I don't understand this
Answer:
So
12 would round to 12
0.49 would round to 0
or could possibly round to 0.50
Step-by-step explanation:
So, 12 x 0.49
would be about
12-13
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Have a good day
8y + 15x + 3y - 12x - 3x
Answer:
11y is the exact value.
Step-by-step explanation:
Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
the odds against your bet are to 3. if you bet $27 and win. how much you win
Show this situation on a vertical number line
what is the situation to your question
Answer:
What is the situation?
Step-by-step explanation:
