Answer:
h(2) =0
h(-2) =4
h(0) = 2
h(2) = 0
Step-by-step explanation:
h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0
h(-2) = 2^-2 -3(-2) +2 = -4+ 6+2=4
h(0) =0^2 - 3(0)+2 = 0-0 +2 = 2
h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0
fill in the equation please
Answer:
57753.
Step-by-step explanation:
Basta pm na Lang.
the average cost of 3 books 3:2:5 is $50. How much does each book cost?
Step-by-step explanation:
We have to find what one share is
we have 3 shares + 2 shares + 5 shares
so he have a total of 10 shares
next, we divide 50 by total shares to get what one share is
50 ÷ 10 = 5
5 is one share
fins what each is
for 3
3 shares so 3 fives
3 × 5 = 15
for 2
2 shares so 2 fives
2 × 5 = 10
and for 5
can you work it out and leave in the comments i will say if it is correct
Please give me right answer i mark you brainliest if you answer fast , At a stationery sale, pencils were sold in packets of 4 and erasers were sold in packets of 6. The cost of a packet of pencils was the same as the cost of a packet of erasers. Mrs Tan bought 12 pencils for $6. What was the cost of a packet o erasers?
Answer:
The answer is $2
I packet has 4 pencils so 12 pencils is 3 packets
if 3 packets cost $6 1 packet costs $2 and since 1 packet of pencils is the same price as one packet of erasers 1 packet of erasers cost $2
Can you help me please understand this question
Answer:
D
Step-by-step explanation:
ey/n + k = t
To get y on its own, the first thing we need to do is subtract k from both sides to get ey/n = t - k. Next, we can multiply both sides by n to get ey = n(t - k). Finally, we can divide by e to get y = n(t - k)/e
Hope this helps!
Here is a rectangle ABCD. A B 20 cm D с 30 cm The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increase in the perimeter of the rectangle.
Answer:
8%
Step-by-step explanation:
The original perimeter is 100cm
The 20cm is representative of the width
30cm is representative of the length
length is increased by 10%
30+(.10 x 30)
(1 + .10) × 30
(100% + 10%) × 30
110% × 30
110 ÷ 100 × 30
110 × 30 ÷ 100
3,300 ÷ 100
= 33
length is increased by 5%
20 + (5% × 20) =
20 + 5% × 20 =
(1 + 5%) × 20 =
(100% + 5%) × 20 =
105% × 20 =
105 ÷ 100 × 20 =
105 × 20 ÷ 100 =
2,100 ÷ 100 =
= 21
New perimeter: 108 cm
Percentage increase:
(108-100):100*100 =
(108:100-1)*100 =
108-100 = 8
= 8%
answer? to this problem please
Answer:
D
Step-by-step explanation:
There is only one vertical asymptote, x = 1.
Only D has vertical asymptote, x = 1.
How to make 2 numbers add up to 120 but one of the numbers is 25 more than the other.
Answer:
The answer is 47.5 and 72.5
Step-by-step explanation:
Given;The sum of two numbers is equal to 120.So,
Let the number be x and the other number be (x + 25).
Now,
x + (x + 25) = 120
x + x + 25 = 120
2x + 25 = 120
2x + 25 – 25 = 120 – 25
2x = 95
2x/2 = 95/2
x = 47.5
Thus, The number be x is equal to 47.5 and other which is more 25 than other number is (47.5 + 25) = 72.5
-TheUnknownScientist 72
Answer:
The numbers are 47.5 and 72.5
Step-by-step explanation:
Let "x" represent the larger number, then the smaller number would be equivalent to:
[tex]x-25[/tex]
Larger Number + Smaller Number = 120
Therefore...
[tex]x+x-25=120[/tex]
Combine like terms:
[tex]2x-25=120[/tex]
Add 25 to both sides (note we are utilizing the Addition Property of Equality which essentially states that if you add a value to one side of the equation, you must add it to the other side as well):
[tex]2x=120+25\\2x=145[/tex]
Divide both sides by 2 (note we are now utilizing the Division Property of Equality which essentially states that if you divide a value from one side of the equation, you must divide it from the other side as well; the same as the Addition Property of Equality, but with division instead):
[tex]x=\frac{145}{2}\\x=72.5[/tex]
Therefore...
[tex]x-25=72.5-25=47.5[/tex]
Which of the following numbers is farthest from the number 2 on the number line
3 -3 6 -6 10
Answer:
-6 is the correct answer
Step-by-step explanation:
Find the value of K when K = 5n^2 + w. when n = 4 and w = -6.
Answer:
[tex]\bold{K = 5n {}^{2} + w} [/tex]
Given ,
value of n = 4
value of w = - 6
Then ,
[tex]\bold{K = 5(4) {}^{2} + ( - 6)} \\\bold{ K = 5(16) - 6} \\\bold{ K = 80 - 6} \\ \fbox\pink{K = 74}[/tex]
hope helpful~
Answer:
Value of k is 74Step-by-step explanation:
Here we have been provided with the values of n and w that is 4 and -6 respectively.
Equation that we have,
k = 5n² + wSubstituting the values of n and w in the equation,
[tex] \implies \: \sf{k \: = \: 5(4) {}^{2} \: + \: ( - 6)}[/tex]
[tex]\implies \: \sf{k \: = \: 5(4 \times 4) \: + \: ( - 6)}[/tex]
[tex] \implies \: \sf{k \: = \: 5 \: (16) \: + \: ( - 6)}[/tex]
Multiplying 16 by 5,
[tex]\implies \: \sf{k \: = \: 5 \: \times 16 \: + \: ( - 6)}[/tex]
[tex]\implies \: \sf{k \: = \: 80 \: + \: ( - 6)}[/tex]
[tex]\implies \: \sf{k \: = \: 80 \: - \:6)}[/tex]
Subtracting 6 from 80,
[tex]\implies \: \red{\bf{k \: = \: 74}}[/tex]
Therefore, value of k is 74..!!
38. Find the value of x in isosceles trapezoid ABCD.
Given: AC = 3x - 16 and BD = 10x-86
Answer:
10
Step-by-step explanation:
Diagonals of a isosceles trapezoid are congruent
3x - 16 = 10x - 86 Subtract 3x from both sides and add 86 to both sides
70 = 7x Divide
x = 10
What is the equation of the blue line?
Answer:
y = 2x + 3
Step-by-step explanation:
Get any two points on the line, say (0, 3) and (2, 7)
Slope = (7 - 3)/(2 - 0) = 4/2 = 2
y = 2x + b
use (0, 3), x = 0, y = 3
3 = b
so the equation is y = 2x + 3
Please help solve the graph
Answer:
Put a point on (4, -4)
Count 1 down from the purple point, then go four points to the right.
Step-by-step explanation:
y=[tex]-\frac{1}{4}[/tex]x-3
the -1/4 is what tells you how much to move the point from the given one. In this case, it is one down (-1), and four to the right (4).
Write an equation that relates the angles in a triangle.
The measure of angle A is 45 degrees. The measure of angle B is b degrees. The measure of angle C is 3b degrees.
Step-by-step explanation:
please mark me as brainlist please
The scale model of a car is 5% of the size of the actual car. The length of
the model is 9 inches. How many feet long is the actual car? Show your work below.
Answer:
45 actual car
Step-by-step explanation:
magaceega faatima
permutation:
A college has 7 good badminton players.In how many ways can a team of 5 players be selected??
Formula for permutation is:
[tex] \boxed{ \tt^{n} C_{r} = \frac{n!}{r!(n - r)!} }[/tex]
Calculation,Plug in the values:
Required number of ways = ²C7
n = 7r = 5[tex] \sf \frac{7!}{5!(7 - 5)!} [/tex]
[tex] \sf \frac{7 \times 6 \times \cancel{5!}}{ \cancel{5! }\times 2!} [/tex]
[tex] \sf \frac{7 \times 6 }{ 2!} [/tex]
[tex] \sf \frac{42 }{ 2!} [/tex]
[tex] \sf \frac{42 }{ 2} = 21[/tex]
Thus, The players can be selected in 21 different ways!!~
Here one player cannot be repeated so repeating is not allowed.
Hence we use combination heren=7r=5Total ways
[tex]\\ \rm\hookrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Put values[tex]\\ \rm\hookrightarrow ^7C_5[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!(7-5)!}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!2!}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7\times 6\times 5!}{5!(2)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7(6)}{2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{42}{2}[/tex]
[tex]\\ \rm\hookrightarrow 21ways[/tex]
The average number of words in a romance novel is 64,436 and the standard deviation is 17,071. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
64436
Correct,
17071
Correct)
b. Find the proportion of all novels that are between 72,972 and 90,043 words.
c. The 75th percentile for novels is
words. (Round to the nearest word)
d. The middle 60% of romance novels have from
words to
words. (Round to the nearest word)
b. You're looking for the probability
Pr [72,972 ≤ X ≤ 90,043]
Transform X to Z ∼ Normal(0, 1) using the rule
X = µ + σ Z
with µ = 64,436 and σ = 17,071. Then the probability is
Pr [(72,972 - µ)/σ ≤ (X - µ)/σ ≤ (90,043 - µ)/σ]
≈ Pr [0.5000 ≤ Z ≤ 1.5000]
You probably have a z-score table available, so you can look up the probabilities to be about
Pr [Z ≤ 0.5000] ≈ 0.6915
Pr [Z ≤ 1.5000] ≈ 0.9332
and then
Pr [0.5000 ≤ Z ≤ 1.5000] ≈ 0.9332 - 0.6915 = 0.2417
c. The 75th percentile word count that separates the lower 75% of the distribution from the upper 25%. In other words, its the count x such that
Pr [X ≤ x] = 0.75
Transforming to Z and looking up the z-score for 0.75, we have
Pr [(X - µ)/σ ≤ (x - µ)/σ] ≈ Pr [Z ≤ 0.6745]
so that
(x - µ)/σ ≈ 0.6745
x ≈ µ + 0.6745σ
x ≈ 75,950
d. Because the normal distribution is symmetric, the middle 60% of novels have word counts between µ - k and µ + k, where k is a constant such that
Pr [µ - k ≤ X ≤ µ + k] = 0.6
Also due to symmetry, we have
Pr [µ - k ≤ X ≤ µ + k] = 2 Pr [µ ≤ X ≤ µ + k]
⇒ Pr [µ ≤ X ≤ µ + k] = 0.3
Transform X to Z :
Pr [(µ - µ)/σ ≤ (X - µ)/σ ≤ (µ + k - µ)/σ] = 0.3
⇒ Pr [0 ≤ Z ≤ k/σ] = 0.3
⇒ Pr [Z ≤ k/σ] - Pr [Z ≤ 0] = 0.3
⇒ Pr [Z ≤ k/σ] - 0.5 = 0.3
⇒ Pr [Z ≤ k/σ] = 0.8
Consult a z-score table:
Pr [Z ≤ k/σ] ≈ Pr [Z ≤ 0.8416]
⇒ k/σ ≈ 0.8416
⇒ k ≈ 14,367
Then the middle 60% of novels have between µ - k = 50,069 and µ + k = 78,803 words.
Please list all of the fractions that are greater than 7/12
Answer:
5/9, 9/12, 6/7, 6/9 are the ones I believe so far
Step-by-step explanation:
A student wants to create a 2:1 scale drawing of the classroom. Is this an appropriate scale to use? Why or why not?
Answer:
I don’t know figure it out
Step-by-step explanation:
4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?
Answer:
175
Step-by-step explanation:
Divide. 136.50 divided by 78 then times it by 100 and you get it 175
The percent increase is 56.41%.
what is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage. The percentage increase formula is provided by:
percentage increase = (increase in amount /original amount ) x 100
Given:
Bill in may month- 78
Bill in June month = 122
So, change in amount= 122 - 78 = 44
So, percent increase = 44/ 78 x 100
percent increase = 0.5641 x 100
percent increase = 56.41%
Hence, the percent increase is 56.41%.
Learn more about percent increase here:
https://brainly.com/question/13533684
#SPJ2
a.
A student writes an explicit formula to represent the value of the
computer after n years below. What is the student's error? Explain. (2 points)
an= $1,500 (-15)n-1
Using exponential function concepts, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the initial value of the computer is of A(0) = 1500, while it decays at a rate of 15% a year, hence r = 0.15 and the equation is:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 1500(0.85)^t[/tex]
Or equivalently, as a sequence:
[tex]a_n = 1500(0.85)^{n-1}[/tex]
Hence, it is found that the student error is in the subtraction of the day rate, as he forgot to subtract from 100% = 1.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
What is the slope of the line that contains these points?
Someone Please Help i need this awnser
Answer:
a1 = 8
a2 = 6
a3 = 4
a4 = 2
a5 = 0
So it would be: 8, 6, 4, 2, 0,...
Step-by-step explanation:
Just plug the term number into the equation.
an = -2n + 10
First term:
a1 = -2(1) + 10 = 8
Second term:
a2 = -2(2) + 10 = 6
Third term:
a3 = -2(3) + 10 = 4
and so on...
Hope this helped! :)
i need the steps to the perimeter and area the radius is 5 ft
i neeeeeeeeeeeeeeeeeeddddddddddddddd helpppp
A company sells each product they make for $90.00. They pay $2,300.00 in monthly costs, such as rent and bills, as well as $75.00 in manufacturing costs per unit. If the company sold 495 units last month, what was their total profit?
A.
$34,825.00
B.
$6,610.00
C.
$42,175.00
D.
$5,125.00
Answer:
Option D
Step-by-step explanation:
Given the following question:
Product costs: $90
Monthly bills: $2,300
Manufacturing costs: $75
How much profit did they make in one month if they sold 495 units?
In order to find the answer, we first need to multiply the cost of the product by the units sold last month, then subtract the bills/manufacturing costs.
One unit = 90 dollars
495 units sold last month
[tex]90\times495=44550[/tex]
[tex]=44550[/tex]
The company made 44,550 from the product last month.
Now apply the fees/costs:
2,300 dollars in monthly costs
75 dollars in manufacturing costs PER UNIT
[tex]44550-2300=42250[/tex]
[tex]75\times495=37125[/tex]
[tex]42250-37125=5125[/tex]
[tex]=5125[/tex]
Which means the company made a total profit of "$5,125 dollars" or option D last month.
Hope this helps.
Please help!! the problem is attached for the standard deviation
Answer:
9.24
Step-by-step explanation:
Let f(x) = 22 + 3.0 +2
What is the average rate of change of f(x) from 3 to 6?
Help with number 10 please
Answer:
The answer is 3
Step-by-step explanation:
I did this quiz before
Holly attended a conference at 11:30 A.M. The conference ended at 1:05 P.M. How long does the conference last
Tim bought a certain number of bags of chips that each cost $1.05. Write an expression to show the total cost.
x is the number of bags of chips
1.05x means "1.05 times x". You could write 1.05*x or omit the multiplication symbol all together.
For example, if he bought x = 100 bags then he would spend 1.05*x = 1.05*100 = 105 dollars.
You wish to test the following claim ( Ha) at a significance level of α=0.02
H0:μ1=μ2
Ha:μ1≠μ2
You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal.
You obtain a sample of size n1=16 with a mean of M1=66.2 and a standard deviation of SD1=10.6 from the first population. You obtain a sample of size n2=26 with a mean of M2=68.8 and a standard deviation of SD2=12.9 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom. The degrees of freedom is the minimum of n1 - 1 and n2 - 1. (Report answer accurate to four decimal places.)
p-value =
Answer:
Since we assume the variances of the two populations are the same, we can use the pooled variance in the computation of the t-statistic:pooled variance (Sp^2) = (n1-1)s1^2 + (n2-1)*s2^2 / (n1 + n2 - 2) = (13-1)*19.4^2 + (19-1)*12.6^2 / (13 +19- 2) = 245.8Sp = 15.67t-calc = (mean1 - mean2)/ (Sp * sqrt(1/n1 + 1/n2)) = (83.6-72.9)/(15.67 * sqrt(1/13 + 1/19) = 1.897since this is a right tailed test, the p-value = P(t > 1.897) at n1 + n2 - 2 = 30 degrees of freedom = 0.0337so would not reject.
Step-by-step explanation:
mark me brainliest!!