1. Two-thirds of the sum of the number x and 5 is written
2x+5
a.
2
-x+ 5
3
b. §
(5x) <(x+5)
d.
e. x+ķ(x+5)
{(+5)
3
Answers
9514 1404 393
Answer:
cbaStep-by-step explanation:
This is as much about English comprehension as it is about math. When you read an English sentence, you need to figure out what each of the pronouns, phrases, and modifiers is referring to. When the sentence refers to math operations, you need to determine what each math operation is being applied to. In most cases, a math operation involves two operands, so the trick is to figure out what those are.
__
1. "Two-thirds of the sum ..." will look like 2/3( + ). "The sum of a number and 5" will look like (x+5). So, the words are describing ...
2/3(x +5) . . . . matches C
__
2. "Seven decreased by ..." will look like 7 -( ). "The quotient of a number and 3" will look like (n/3). So, the words are describing ...
7 -n/3 . . . . matches B
__
3. Consider the order of operations. When you evaluate 2x²+9, the last operation you perform is addition. That is, the result is a sum. One of the elements of that sum is 9 (the second one). The other element of that sum is the product 2x². The elements of that product are 2 and the square of x. So, one way to describe this expression is ...
the sum of the product of 2 and the square of a number, and 9.
The order of operations requires that squares be evaluated before multiplication and division, so it is not unreasonable (if slightly more ambiguous) to write this as ...
the sum of 2 times a number squared and 9 . . . . choice A
Related Questions
In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 23 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.16 cm3 and s=0.7 cm3. Conduct the appropriate test at the α=0.01 level of significance.
Answers
Answer:
We do not reject the Null Hypothesis
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=23[/tex]
Population mean [tex]\mu=9.02cm^3[/tex]
Sample mean [tex]\=x=8.16[/tex]
Standard deviation [tex]\sigma=0.7cm^3[/tex]
Significance level [tex]\alpha =0.01[/tex]
Generally the Null and and alternative Hypothesis are as follows
[tex]H_0:\mu=9.02cm^3[/tex]
[tex]H_a:\mu<9.02cm^3[/tex]
Therefore t critical Value is
[tex]t\ critical\ Value=(\alpha,df)[/tex]
[tex]t\ critical\ Value=(0.01,22)[/tex]
Where
[tex]df=n-1\\\\df=23-1=>22[/tex]
Therefore
From t Table
[tex]t value=-2.8[/tex]
Generally the equation for Z Critical is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{8.16-9.02}{\frac{0.7}{\sqrt{23} } }[/tex]
[tex]t=-5.89[/tex]
Therefore
Since the t test statistics is greater than the Critical value
Hence,we do not reject the Null Hypothesis
Find the net change in the value of the function between the given inputs.
h(t) = t2 + 9; from −4 to 7
Answers
Given that x = 4, b=6 and c = 3. Then 3a + bc = 16.
true or false?
Answers
Answer:
False
Step-by-step explanation:
3a + bc = 16.
Let a=4 b=6 c=3
3(4) + 6*3 = 16
Multiply
12+18 =16
30 = 16
False
Answer:
False!
Step-by-step explanation:
There is no a variable that is given, though I'm going to assume you mean that x=4 is supposed to be a=4. If I'm mistaken, there isn't much to say about whether the statement is true or false, because there's no false statement as it'd give you a=? and you can't prove or disprove this information without more information.
If my assumption is correct, we'll first start solving this problem by substituting in the variables, which would give us: 3(4)+(6)(3)=16
Then, we'll evaluate 3(4) first, because of order of operations, which gives us 12. To reiterate the problem, we now have: 12+(6)(3)=16 From here, we can already tell this is going to be a false statement, as there is no way 6 times anything but zero will give a sum less than 6, but if you didn't catch that, we can continue with our next step.
Evaluate (6)(3) in order to get 18, in order to get: 12+18=16
And finally, we'll add. 12+18 is 30, which as we know, is not equal to 16, so that makes this statement false. 30≠16
The ordered pairs in the table below represent a linear function.
Answers
Answer:
2
Step-by-step explanation:
ordered pairs are
(2 , 3) = (x1 , y1)
(5 , 9) = (x2 , y2)
slope = y2 - y2 / x2 - x1
= 9 - 3 / 5 - 2
= 6 / 3
= 2
Determine the equation of the circle shown in the graph.
Answers
Answer:
B.
Step-by-step explanation:
The equation of a circle with center at (h, k) and radius r is
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
We have center at (-5, 0). That makes h = -5, and k = 0.
The radius is 3, so r = 3.
[tex] (x - (-5))^2 + (y - 0)^2 = 3^2 [/tex]
[tex] (x + 5)^2 + y^2 = 9 [/tex]
Answer: B.
Answer:
B
Step-by-step explanation:
The equation of a circle has the form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center of the circle and r is the radius.
From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.
And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.
Substitute the information into the equation:
[tex](x-(-5))^2+(y-(0))^2=(3)^2[/tex]
Simplify. Therefore, our equation is:
[tex](x+5)^2+y^2=9[/tex]
Our answer is B.
Match the statement using the diagram
Answers
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Answer:
d, b, c, a, e
Step-by-step explanation:
The order of the letters in the congruence statement tells you ...
ΔQOP ≅ ΔABC
∠Q ≅ ∠A
∠O ≅ ∠B ≅ 115°
∠P ≅ ∠C
QO ≅ AB = 5 m
OP ≅ BC = 8 m
PQ ≅ CA
constant
r is the counting number from 7 to 9
Answers
Use algebra to solve 3x+4 = 1/x
The exact solutions are x=
Х
Answers
Answer:
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{2±\sqrt{7} }{3}[/tex]
Step-by-step explanation:
3x + 4 = 1 ÷ x
3x + 4 - 4 = 1 ÷ x - 4
3x = 1 ÷ x - 4
[tex]3x=\frac{1}{x} +\frac{x(-4)}{x}[/tex]
[tex]3x=\frac{1+x(-4)}{x}[/tex]
[tex]3x=\frac{1-4x}{x}[/tex]
[tex]x(3x)=x(\frac{1-4x}{x})[/tex]
x · 3x = - 4x + 1
3x² = - 4x + 1
3x² - (- 4x + 1) = 0
3x² + 4x - 1 = 0
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
a = 3
b = 4
c = - 1
[tex]x=\frac{-4±\sqrt{4^{2}-4((3)(-1)) } }{2(3)}[/tex]
[tex]x=\frac{-4±\sqrt{16-4((3)(-1)) } }{2(3)}[/tex]
[tex]x=\frac{-4±\sqrt{16+12 } }{2(3)}[/tex]
[tex]x=\frac{-4±\sqrt{28 } }{2(3)}[/tex]
[tex]x=\frac{-4±\sqrt{(2)(14) } }{2(3)}[/tex]
[tex]x=\frac{-4±\sqrt{(2)(2)(7) } }{2(3)}[/tex]
[tex]x=\frac{-4±\sqrt{2 } \sqrt{2}\sqrt{7} }{2(3)}[/tex]
[tex]x=\frac{-4±2\sqrt{7} }{2(3)}[/tex]
[tex]x=\frac{-4±2\sqrt{7} }{6}[/tex]
Two separate equations
[tex]x=\frac{-4+2\sqrt{7} }{6}[/tex]
[tex]x=\frac{2+\sqrt{7} }{3}[/tex]
[tex]x=\frac{-4-2\sqrt{7} }{6}[/tex]
[tex]x=\frac{2-\sqrt{7} }{3}[/tex]
calculate the surface area and the volume of cube with length 10m and 13cm
Answers
Answer:
Cube with 10 cm
SA = 600 cm V = 1000 cm
Cube with 13 cm
SA = 1014 cm V = 2197
Step-by-step explanation:
SA = 6[tex]s^{2}[/tex]
V = [tex]s^{3}[/tex]
s = side length
The shortest route from London to Edinburgh is 400 miles.
A lorry is expected to take 10 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
By how many more mph than the expected speed does the lorry travel?
Answers
Answer:
The lorry travels by 6 mph more than the expected speed.
Step-by-step explanation:
Velocity formula:
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Shortest route:
400 miles in 10 hours, which means that [tex]d = 400, v = 10[/tex]. So
[tex]v = \frac{d}{t} = \frac{400}{10} = 40[/tex]
In mph.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
Distance is multiplied by 100% + 15% = 115% = 1.15, so:
[tex]d = 1.15*400 = 460[/tex]
Then
[tex]v = \frac{d}{t} = \frac{460}{10} = 46[/tex]
46 mph
By how many more mph than the expected speed does the lorry travel?
46 - 40 = 6 mph
The lorry travels by 6 mph more than the expected speed.
HELP ASAP I WILL GIVE BRAINLIST
A = {1, 3, 4, 5, 7, 9}
B = {1, 2, 4, 6, 8, 10}
List the outcomes of A ∪ B? What does this represent?
List the outcomes of A ∪ B? What does this represent?
Answers
Answer:
A U B={1,2,3,4,5,6,7,8,9,10} represents A union B
(includes all the members of set Sand the members of set Bout together, do not repeat anyone that comes twice)
A n B={1,4} represents A interception B( this refers to the members that sets A and B have in common)
Answer:
A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }
Step-by-step explanation:
A = { 1 , 3 , 4 , 5 , 7 , 9 }
B = { 1 , 2 , 4 , 6 , 8 , 10 }
A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }
It represents the whole numbers between 0 and 11
[ A ∪ B is the elements of both A and B , without any repetition ]
A ∩ B = { 1 , 4 }
It represents the common numbers in both A and B
pls help asap!!!!!!!!
Answers
Answer:
It is possible, because the two shortest sides have to add up to be more than the longest side, and 8 + 12 = 20, which is more than the longest side of 17.
So yes, I agree with Bear.
what is the evaluation 7w -14 for w = 9
Answers
63-14=51
Hope can help u
Answer:
7w - 14
if w = 9
7(9) - 9
63 - 9
w=57
A certain radioactive isotope is a by-product of some nuclear reactors. Due to an explosion, a nuclear reactor experiences a massive leak of this radioactive isotope. Fortunately, the isotope has a very short half-life of 13 days. Estimate the percentage of the original amount of the isotope released by the explosion that remains 6 days after the explosion.
Answers
Answer:
[tex]\frac{N}{N_o} = 0.726 = 72.6\%[/tex]
Step-by-step explanation:
The following formula can be utilized for this question:
[tex]N = N_o (\frac{1}{2})^{\frac{t}{t_{1/2}} } \\\\\frac{N}{N_o} = (\frac{1}{2})^{\frac{t}{t_{1/2}} } \\\\[/tex]
where,
[tex]\frac{N}{N_o}[/tex] = ratio of the remaining amount to the original amount = ?
t = tme passed = 6 days
[tex]t_{1/2}[/tex] = half-life = 13 days
Therefore,
[tex]\frac{N}{N_o} = (\frac{1}{2} )^{\frac{6\ days}{13\ days} }\\\\[/tex]
[tex]\frac{N}{N_o} = 0.726 = 72.6\%[/tex]
A department store, on average, has daily sales of $21,000. The standard deviation of sales is $3600. On Tuesday, the store sold $16,230 worth of goods. Find Tuesday's z score. What is the percentile rank of sales for this day
Answers
Answer:
Tuesday's z-score was of -1.325.
The percentile rank of sales for this day was the 9.25th percentile.
Step-by-step explanation:
Z-score:
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A department store, on average, has daily sales of $21,000. The standard deviation of sales is $3600.
This means that [tex]\mu = 21000, \sigma = 3600[/tex]
On Tuesday, the store sold $16,230 worth of goods. Find Tuesday's z score.
This is Z when X = 16230. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16230 - 21000}{3600}[/tex]
[tex]Z = -1.325[/tex]
Tuesday's z-score was of -1.325.
What is the percentile rank of sales for this day
This is the p-value of Z = -1.325.
Looking at the z-table, this is of 0.0925, and thus:
The percentile rank of sales for this day was the 9.25th percentile.
VIVIAN: My friend Sharon told me today that she will be driving back to Victorville, her hometown, this weekend for the first time in almost two years. NATALIE: You must not have been listening very carefully to what Sharon was saying, because I know for sure that Sharon's hometown is Vacaville, not Victorville.
Is dispute C a verbal dispute or a factual dispute?
a. Factual
b. Verbal
Answers
Answer:
The answer is "Option a".
Step-by-step explanation:
Dispute C comes under factual dispute because the words Vacaville or Victorville are two different places and they are arguing about the fact that's why option a is correct.
WILL GIVE BRAINLIESTTT!!!! PLS HELP
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Create a proportion using the form %/100 = is/of to represent the following word problem.
Seven is what percent of 30?
Answers
The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
the length is 12 cm and the width is 4 cm, how fast is the area of the rectangle increasing (in cm/s)? Write an equation for A in terms of l and w.
Answers
Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:
[tex]A=w\ell[/tex]
Where w is the width and l is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to t, where w and l are both functions of t:
[tex]\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell][/tex]
By the Product Rule:
[tex]\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w[/tex]
Since we know that dl/dt = 6 and that dw/dt = 5:
[tex]\displaystyle \frac{dA}{dt}=5\ell + 6w[/tex]
We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:
[tex]\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}[/tex]
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
There are 13 apples in a basket. 4 of these apples are green. The rest are red. what is the ratio?
Answers
Answer:
9:4 4:13
Step-by-step explanation:
Answer:
a) 9:4 b) 13 : 9
Step-by-step explanation:
13 = total
4 = green
13-4 ( which Is 9) = red
Ratio of red apples to green apples?
9:4
RATIO of all apples to red
13: 9
5 x 10 - 2 = ??
HALP MOIIIIIIIIIIIIIIIIIIIIII
Answers
Answer:
48
Step-by-step explanation:
the answer is 48 I got this answer by multiplying 5 by 10 and subtracting is from 2 which gives me 50 - 2 which is 48
Answer:
48
Step-by-step explanation:
5×10-2=50-2
=48
hope it helps!!
What are the four answers?
Answers
Answer:
CLAE
Step-by-step explanation:
1=43
2=28
3=24
4=83
The bike you have been saving for is discounted 25%. You have $500 saved to purchase it. The original, non-discounted price of the bike is $575. There is a 5.60% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
Answers
What is the value of x? Round the answer to the nearest tenth.
DONT RESPOND WITH A LINK!!!!!!!
Answers
Answer:
i believe x is 16.1
Step-by-step explanation:
hope this helps
What is the standard form equation of the ellipse that has vertices (-6, 2) and (14, 2) and foci (-3,2) and (11, 2)?
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ME WILL MARK YOU IF YOU HELP(please answer all of them >_<)
Answers
Answer:
See below.
Step-by-step explanation:
Problem 2.
Left figure: 2 sides and included angle: SAS
Middle figure: 2 angles and included side: ASA
Right figure: 3 sides: SSS
Problem 3.
CPCTC = corresponding parts of congruent triangles are congruent
Marcus likes to go for a run each morning before school. He recorded the number of minutes he spends running and the distance he covers. The scatter plot represents the data he collected
Answers
Answer:
D. 0.85
Step-by-step explanation:
The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.
The correlation is positive since both variables tend to increase together in the same direction.
Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85
A cube with side lengths of 4 cm has a density of 3 grams/cubic centimeters. The mass of the cube is _____ grams?
Answers
9514 1404 393
Answer:
21 1/3 grams
Step-by-step explanation:
The mass is the product of the volume and the density. The volume of a cube is the cube of its edge dimension.
M = Vρ
M = (4 cm)³×(3 g/cm³) = 64/3 g
The mass of the cube is 64/3 = 21 1/3 grams.
Nikki bought a patio set on sale for $480. The original price was $850. What was the rate of discount?
Round your answer to the the nearest tenth of a percent
Answers
Answer:
43.5 % decrease
Step-by-step explanation:
Take the original price and subtract the new price
850-480
370
Divide by the original price
370/850
.435294118
Change to percent form by multiplying by 100
43.5294118 % decrease
43.5 % decrease
PLEASE HELP ME WILL MARK YPU IF YOU HELP ME
Answers
ok check image file in the image is answers with color code
I took 18 pencils from the box. this is equivalent to 2/5 of the total number of pencils.
How many pencils were there in the box originally. Show your work.
Answers
if 18 is 2/5, than 9 is 1/5. That means that 5/5 is 45.
Hope this helps!
Answer: 45 pencils were in the box originally
Step-by-step explanation:
Suppose there were x pencils in the box originally. Since 18 pencils is equal to 2/5 of the total number of pencils in the box originally, set 18 equal to 2/5x or
18=2/5x
Now solve
x = 18x5/2 = 45
