Answers
Related Questions
For f(x)=4x squared -3 and g(x)=x +1 find (f - g)(x) PLEASE HELPP
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4x^2-x-4
You flip a coin and then roll a fair six sided die. Then the coin lands heads up and the die shows a one
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A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?
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d = number of dimes
n+d = 20
0.05n + 0.10d =1.40
-0.05n - 0.05d = -1
0.05n + 0.10d = 1.40
0.05d = 0.40
d = 8
n = 20-8=12
There are 12 nickels and 8 dimes
One hundred percent of the fish in a pond are goldfish. i take 10$\%$ of the goldfish out of the pond. what percentage of goldfish does the pond now contain?
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The students at Campbell High School have been planting trees as part of an ongoing service project. This month, they averaged 15 trees per participant. That is 150% more trees than their average the last time they did it. What was their average last time?
___ trees
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Final answer:
The average number of trees planted by participants last time was 10 trees, calculated by understanding the percentage increase and using basic arithmetic.
Explanation:
The average number of trees planted by participants last time was 10 trees.
To solve this, we know that the current average is 15 trees per participant, which is 150% more than the last average. This means the current average is 250% of the last average. To find the last average, you divide the current average by 2.5 (250%), giving you 6. Then, you calculate 150% of 6, which equals 9. Adding 6 and 9 together gets you 15 trees, the current average, confirming the last average was 10 trees.
How many integers less than 1000 have no factors (other than 1) in common with 1000?
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2, 3, 7, 11,13 and ending with the 983, 991 and 997
1000's prime factorization is 2³ · 5³, which means that our final filter on the remaining integers should be to eliminate every integer divisible by 5. Any whole number ending in a 0 or a 5 is divisible by 5, but since we've eliminated all even numbers from our list, we've split the amount of those divisible numbers in half. It may be a bit hard to visualize this elimination, so let's figure out how many integers would get eliminated in a bit of a simpler setting first:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Usually we'd be eliminating 4 numbers from this sequence, but in a sequence with all the even numbers eliminated:
1 3 5 7 9 11 13 15 19
We only eliminate half that amoung, or 2.
Here, we'd usually be eliminating 100 of the numbers from our list of 500 (or 1/5 of the list, since we eliminate a number every 5 integers), but here, we're only eliminating half of that amount, or 50. This leaves us with 500 - 50 = 450 integers with no factors in common with 1000.
Note: We also sometimes refer to numbers with this kind of relationship as coprime or relatively prime.
25% of what number is 9
can you explain how you got your answer and show your answer too.
Thank You
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Note too that the fraction [tex] \frac{25}{100} [/tex] can be reduced to [tex] \frac{1}{4} [/tex], so what the question is really asking is: 1/4 of what number is 9?
Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the whole number), or 4 x 9, which multiplies out to 36.
twenty-four players divided into three teams?
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There will be eight players on each team.
A wildlife biologist catches and releases 20 fish from two different lakes at random locations. he catches 10 fish at lake palmer and 10 fish at lake dalton. he measures the length of each fish to the nearest quarter of an inch. palmer dalton first quartile 6.75 5.5 second quartile (median) 10.25 6.75 third quartile 13 7.5 based on the samples, what generalization can be made? at least 25 percent of the fish in both lakes are no longer than 6 inches. the interquartile range for lake dalton is 2 inches greater than the interquartile range for lake palmer. the first quartile value at lake palmer is 1.25 inches longer than the first quartile value at lake dalton. not enough information is provided to draw any of these conclusions.
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Answer:
The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton.
Step-by-step explanation:
If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?
A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2 + 12
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Help please!! Find domain and range for 20 points
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suppose a research team takes a simple random sample of 100 parma wallabies. in this sample, the tails of the wallabies have a mean length of 46 centimeters and a standard deviation of 2.6 centimeters.
What percent of the time could a simple random of 100 parma wallabies have a sample mean that is not in the 95% confidence interval?
5%
0%
2.5%
20%
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------------------------------------
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Explanation:
Saying "95% confidence interval" means that if we made a simple random
sample (SRS) of 100 wallabies, and computed the sample mean, then 95% of the sample means will be in the confidence interval. The remaining 5% (100%-95% = 5%) of the sample means will fall outside the confidence interval.
A equation whose solutions form a straight line on a coordinate plane is a what
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When h has the value of 5 calculate 6h +9
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6h+9 —> 6(5)+9
6•5=30 —> 30+9= 39
The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 feet, find the lengths of its sides
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P = 72
a = x
b = x + 2
c = x + 4
72 = x + x + 2 + x + 4
72 = 3x + 6
72 - 6 = 3x
66 = 3x
66/3 = x
22 = x
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
the sides of ur triangle are : 22,24,26 <==
Evaluate the given expression if k=-84
5 |k+10| - |4k|
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Steps:
5 |-84+10| - |4(-84|
5 |-74| - |-336|
5(74) - 336
370 - 336
34
3/8(z+11)=y solve for z in the literal equation
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3/8(z+11)=y
3/8z+88=y
3=y(8z+88)
3/y=8z+88
(3/y)-88=8z
((3/y)-88)/8=z
Hope I helped :)
If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?
A.10 degrees
B.20 degrees
C.30 degrees
D.40 degrees
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add 30 to -10:
-10 + 30 = 20
Answer is B.
1) AB¯≅AD¯ Given
2)∠ACD is a right angle.- Given
3) m∠ACD=90° -Definition of right angle
4) m∠ACB=90° -Given
5) m∠ACB=m∠ACD -Transitive Property of Equality
6) ∠ACB≅∠ACD Definition of congruent angles
7) C is the midpoint of BD¯ Given
8)C bisects BD¯ ?
9) BC¯≅CD¯ Definition of bisect
10) AC¯≅AC¯ Reflexive Property of Congruence
11) △ABC≅△ADC -SAS Congruence Postulate
What is the correct reason for Statement 8?
Given
Definition of bisect
Definition of congruent segments
Definition of midpoint
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Answer:
By definition of midpoint.
Step-by-step explanation:
proof:
1.Statement: [tex]\overline{AB}\cong \overline{AD}[/tex].
Reason: Given.
2.Statement: [tex]\angleACD[/tex] is a right angle.
Reason:Given.
3.Statement:[tex]m\angle ACD=90^{\circ}[/tex].
Reason: By definition of right angle.
4.Statement: [tex]m\angle ACB=90^{\circ}[/tex].
Reason: Given.
5.Statement: [tex]m\angle ACB=m\angle ACD[/tex]
Reason: Transitive property of equality.
6. Statement:[tex] m\angle ACB\cong m\angle ACD[/tex].
Reason: By definition of congruent triangles.
7.C is the midpoint of [tex]\overline {BD}[/tex].
Reason: Given.
8.Statement: C bisect [tex]\overline{BD}[/tex]
Reason: By definition of midpoint.
9.Statement:[tex]\overline{BC}\cong \overline{CD}[/tex]
Reason: By definition of bisect.
10.Statement:[tex]\overline{AC}\cong\overline{AC}[/tex]
Reason: By reflexive property of congruence.
11.Statement:[tex]\triangle ABC\cong \triangle ADC[/tex].
Reason: SAS congruence postulate.
karen says that 6 is a common factor of 2 and 3 ken says that 6 is a common multiple of 2 and 3 who is correct
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think of multiples like multiplication tables
2 * 1 = 2
2 * 2 = 4
2 * 3 = 6
so 2,4,and 6 are multiples of 2
same with 3..
3 * 1 = 3
3 * 2 = 6
3 * 3 = 9
so 3,6, and 9 are multiples of 3
so 6 is a common multiple of 2 and 3.
factors...they are what can be divided into a number...
6 has factors of 2 and 3....because they both go into 6 evenly
but 6 is not a factor of 2 or 3 because 6 wont go into them evenly
Round 28,573 to the nearest thousand
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first, find the number in the thousands place....it is 8...now look at the number directly to the right of it....
** if that number is 5 or above, u would round that 8 up to a 9
** if that number is 4 or below, u would leave the 8 alone
so the number directly to the right of 8 is a 5...that means we have to round that 8 up to a 9
making ur answer : 29,000 <== because 28,573 is closer to 29,000 then it is to 28,000
A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2; x=3, x=3+h
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[tex]\bf f(x)= 4x^2 \qquad \begin{cases} x_1=3\\ x_2=3+h \end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)} \\\\\\ \cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h} \\\\\\ \cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h} \\\\\\ \cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h[/tex]
help me and show how you got it please
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[tex]\bf \sqrt{102}\implies 10.099 \\\\\\ \sqrt{121}\implies 11\quad \checkmark \\\\\\ \sqrt{125}\implies 11.18 \\\\\\ \sqrt{144}\implies 12\quad \checkmark \\\\\\ \sqrt{225}\implies 15\quad \checkmark \\\\\\ \sqrt{240}\implies 15.49[/tex]
5)
check the 1st picture below.
thus
[tex]\bf base\implies \cfrac{1}{4}=x\cdot x\implies \cfrac{1}{4}=x^2\implies \sqrt{\cfrac{1}{4}}=x\implies \cfrac{\sqrt{1}}{\sqrt{4}}=x \\\\\\ \boxed{\cfrac{1}{2}=x}\qquad \qquad V=x^3\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1^3}{2^3}\implies \boxed{V=\cfrac{1}{8}}[/tex]
6)
check the 2nd picture below
[tex]\bf 233=x^2+64\implies 233-64=x^2\implies 169=x^2\implies \sqrt{169}=x \\\\\\ \boxed{13=x}\qquad \qquad railing\implies x+x+(x+8)+8+8+\stackrel{\textit{little corner}}{(x-8)}[/tex]
What is the percent increase modeled in the function f(x)=30(1.25)*
A. 30%
B. 1.25%
C. 25%
D. 75%
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the increase would be 1.25-1 = 0.25 = 25%
Answer is C
The volume of a can (right circular cylinder) is 10 cubic feet. the curved surface area is the area of the side. write the curved surface area s as a function of the radius r. s =
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The volume formula of a cylinder is given as:
V = π r^2 h
So plugging in the value of the volume:
10 ft^3 = π r^2 h
h = 10 / (π r^2) ---> eqtn 1
The formula for the surface area of cylinder is:
s = 2 π r h + 2 π r^2
plugging in eqtn 1:
s = 2 π r [10 / (π r^2)] + 2 π r^2
s = (20 / r) + 2 π r^2 (ANSWER)
Under which condition does a country with a small GDP have a large per capita income?
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-hope this helps
the per capita part, means, the average per person, so you grab the GDP, say 5 trillion, and divide it evenly among all inhabitants, so a per-capita figure is really just GDP/population.
now, you can have a population like Germany with 80 million with a GDP of say hmmm 8000 million for simplification, the per-capita is then 8000/80 or $100 per person.
now, you could have another population like say Japan, and let's just say is less people... hmmm 20 million, with a GDP of say 4000 million.
then the per-capita in that example for Japan will be 4000/20, which is $200 per-capita, notice, the Japan's example has a higher per-capita, though the GDP is smaller to the example of Germany, that's because the Japanese population is also smaller.
sidenote: per-capita figures are often very misleading, since economies do not grow that linearly.
solve the system by substitution. -4.5-2y=-12.5 , 3.35x-y=-0.75
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[tex]-2y = -12.5 +4.5[/tex]
[tex]-2y=-8[/tex]
[tex]y= \frac{8}{2}[/tex]
[tex]y=4[/tex]
Then, we substitute the y value in the other equation and solve for x:
[tex]3.35x-(4)=-0.75[/tex]
[tex]3.35x=-0.75+4 [/tex]
[tex]3.35x=3.25[/tex]
[tex]x= \frac{3.25}{3.35} [/tex]
[tex]x= \frac{65}{67} [/tex]
Dana was picking strawberries to sell and placing them in baskets on a table. the number of strawberries in the basket is 4 more than the number of baskets on a table. if b represents the number of baskets on each table, which expression can be used to represent the number of strawberries on 5 tables? 5b4 5(b + 4) 5b(b + 4) 5b + 4
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what is the value of x (I will give 20 points to best answer)
Answer options
61
37
85
122
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So you need to find what number will help you equal 146.
(2(61)+ 24)
(122 + 24) = 146
A) 61
Hope this helps!
The value of x is 61 after using the concept of vertically opposite angles option (A) 61 is correct.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The angles are shown in the picture.
As we know, from the definition of vertically opposite angles, the angles when two lines intersect each other and at the intersecting point.
The first angle = 2x + 24
The second angle = 146
Equating both the angles:
2x + 24 = 146
2x = 146 - 24
2x = 122
x = 122/2
x = 61
Thus, the value of x is 61 after using the concept of vertically opposite angles option (A) 61 is correct.
Learn more about the vertically opposite angles here:
brainly.com/question/24287162
#SPJ2
The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes?
74.3%
55.2%
44.8%
37.2%
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Actually variation is simply equivalent to the square of the correlation coefficient r. So we can say that:
variation = r^2
So given an r value of 0.743, so the variation is:
variation = 0.743^2
variation = 0.552
Answer:
55.2%