Answer: [tex]4x^2-21x-2[/tex] .
Step-by-step explanation:
Given: The difference of two trinomials is [tex]x^2 -10x + 2[/tex]. If one of the trinomials is [tex]3x^2 - 11x - 4[/tex].
Then, the other trinomial will be ([tex]3x^2 - 11x - 4[/tex] ) + ([tex]x^2 -10x + 2[/tex])
[tex]=3x^2-11x-4+x^2-10x+2\\\\=3x^2+x^2-11x-10x-4+2\\\\=4x^2-21x-2[/tex]
Hence, the other trinomial could be : [tex]4x^2-21x-2[/tex] .
RATIO AND PROPORTION PROGRAM ENHANCEMENT UNIT PAUL IS PAID 473.88 FOR 38 1/4 HOURS OF WORK WHAT AMOUNT SHOULD HE BE PAID FO 40 HOURS
Answer:
495.56 should be p[aid for 40 hours.
Step-by-step explanation:
concept used
In ratio
a:b = c:d
__________________________________________
Given
IS PAID 473.88 FOR 38 1/4 HOURS OF WORK
38 1/4 hour = 38.25 hours
if we get ratio for payment per hour
we have
473.88 / 38.25 or 473.88 : 38.25
___________________________________
now we have to find payment for 40 hours
let that payment be x
thus, ratio for payment per hour in this case will be
x/40 or x:40
since
x:40 and 473.88 : 38.25 is representative of same program enhancement unit both ratio will be equal
thus
x:40 = 473.88 : 38.25
x/40 = 473.88 / 38.25
=> x = 40*(473.88 / 38.25 ) = 495.56
Thus, 495.56 should be p[aid for 40 hours.
In the graph above, which of the following would most likely cause the line to shift from D1 to D2?
A - An increase in consumer expectations
B - An increase in price
C - A decrease in consumer expectations
D - A decrease in price
Answer:
A - An increase in consumer expectations
Step-by-step explanation:
Both the quantity and price increased, so the store most likely stocked more items and began charging more as a result of high demand.
Answer: A
Step-by-step explanation: i took the test
The function y=-2(x-3)2 + 4 shows the daily profit (in hundreds of dollars)
of a hot dog stand, where xis the price of a hot dog (in dollars). Find and
interpret the zeros of this function.
Select two answers: one for the zeros and one for the interpretation.
O A. Zeros at x = 3 1/2
B. The zeros are the hot dog prices at which they sell o hot dogs.
C. Zeros at x = 2 and x = 3
D. The zeros are the hot dog prices that give $0.00 profit (no profit).
Answer:
D. The zeros are the hot dog prices that give $0.00 profit (no profit).
Step-by-step explanation:
Given the function y=-2(x-3)² + 4
The zeros of the function are the points at which the graph of the function crosses the x axis if plotted. y is the daily profit (in hundreds of dollars) and x is the price of the hot dog. To find the zeros, we substitute x = 0 and solve.
Therefore: y=2(x-3)² + 4
0 = 2(x-3)² + 4
-2(x² - 6x + 9) + 4 = 0
-2x² + 12x - 18 + 4 = 0
2x² - 12x + 18 - 4 = 0
2x² - 12x + 14 = 0
2(x² - 6x + 7) = 0
x² - 6x + 7 = 0
Solving the quadratic equation gives:
x = 3 + √2 and x = 3 - √2
This means that the graph crosses x at 3 + √2 and 3 - √2.
The zeros of the function are 3 + √2 and 3 - √2. The zeros of the function is the point where y = 0, that is the point that the hot dog prices that give $0.00 profit (no profit).
Circle O has secants GEY and MTY meeting at Point Y. Use the given information to solve for the missing angle or arc. If the measure of arc GM is 142degree and the measure of angleY = 58.5, find the measure of arc ET.
Answer:
Hello,
answer: m∠arc ET=25°
Y is out the circle .
y is a exterior angle of the circle.
Step-by-step explanation:
m∠y=58.5°
m∠arc GM=142°
m∠arc ET=x°
m∠arc ET=25°
The sum of first 'n' terms. Sn of a particular Arithmetic Progression is given by Sn=12n - 2n^2. Find the first term and the common difference
Let a be the first term and d the common difference between consecutive terms. Then the next few terms in the sequence are
a + d
a + 2d
a + 3d
and so on, up to the k-th term
a + (k - 1) d
The sum of the first n terms of this sequence is
[tex]\displaystyle S_n = \sum_{k=1}^n(a+(k-1)d) = 12n-2n^2[/tex]
Expanding the sum, we have
[tex]\displaystyle S_n = \sum_{k=1}^n (a+(k-1)d) \\\\ S_n = \sum_{k=1}^n(a-d+dk) \\\\ S_n = (a-d)\sum_{k=1}^n1+d\sum_{k=1}^nk \\\\ S_n = (a-d)n+\frac{d}2n(n+1) \\\\ S_n = (a-d)n+\frac{d}2(n^2+n) \\\\ S_n = \left(a-\frac{d}2\right)n+\frac{d}2n^2[/tex]
It follows that
a - d/2 = 12
d/2 = -2
Solve these equations for a and d.
d/2 = -2 ==> d = -4
a - d/2 = a + 2 = 12 ==> a = 10
So the sequence is
10, 6, 2, -2, -6, -10, -14, …
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour? (Hint: divide both sides of the equation
by the same amount.)
Round to the nearest thousandth.
One mile per hour is equivalent to
ao feet/second
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100100100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 \text{ cm}20 cm20, start text, space, c, m, end text. How far did Chubby run? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.
Answer:
63 cm
Step-by-step explanation:
If Chubby ran his wheel, which has a diameter of 20cm, we want to find its circumference - this will tell us how far Chubby has ran one one full rotation of the wheel.
The formula for the circumference of a circle is [tex]2\pi r[/tex], where r is the radius. We know the diameter is 20, which is double the radius, so the radius is [tex]20\div2=10[/tex] cm.
We can know substitute inside the formula:
[tex]2\cdot \pi \cdot10\\\\2\cdot 3.14 \cdot10\\\\ 6.28\cdot10\\\\62.8[/tex]
62.8 rounded to the nearest cm is 63.
Hope this helped!
Answer:
6280
Step-by-step explanation:
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than 1.99 and draw a sketch of the region.
Answer:
Step-by-step explanation:
To find this probability, we shall be using the z-score route
Mathematically ;
z-score = (x -mean)/SD
From the question, x = 1.99, mean = 0 and SD = 1
So z = (1.99-0)/1 = 1.99
So the probability we want to calculate is;
P(z<1.99)
This value can be obtained from the standard normal distribution table.
P(z < 1.99) = 0.9767
The sketch of the region is as shown as in the attachment.
A sprinkler system is being installed in a newly renovated building on campus. The average activation time is supposed to be at most 20 seconds. A series of 12 fire alarm/sprinkler system tests results in an average activation time of 21.5 seconds. Do these data indicate that the design specifications have not been met? The hypotheses to be tested are H0: m = 20 versus Ha: m > 20, where m = the true average activation time of the sprinkler system. Assume that activation times for this system are Normally distributed with s = 3 seconds.
(a) What is the value of the observed test statistic?
(b) What is the value of the P-value?
(c) Are the data statistically significant at the 5% significance level? Explain briefly.
(d) What does the decision you made mean with respect to the question "Do these data indicate that the design specifications have not been met?"
(e) If the true average activation time of the sprinkler system is, in fact, equal to 20 seconds, what type of error would you have made?
Answer:
A) t = 1.73
B) p-value = 0.0558
C) Data is not statistically significant because the p-value of 0.0558 is more than the significance value of 0.05
D) The decision means that the design specifications are not met.
E) Type II error
Step-by-step explanation:
The hypotheses are:
H₀: μ = 20
H₁: μ > 20
A) Formula for the test statistic is;
t = (x' - μ)/(s/√n)
Now, we are given;
x' = 21.5
μ = 20
s = 3
n = 12
Thus;
t = (21.5 - 20)/(3/√12)
t = 1.73
B) we have our t-value as 1.73
Now, Degree of freedom(DF) = n - 1
So,DF = 12 - 1 = 11
Using significance level of α = 0.05, t-value = 1.73 and DF = 11, one tailed hypothesis, from online P-value calculator attached, we have;
p-value = 0.0558
C) Data is not statistically significant because the p-value of 0.0558 is more than the significance value of 0.05
D) We will not reject the null hypothesis. The decision means that the design specifications are not met.
E) If the true average activation time of the sprinkler system is, in fact, equal to 20 seconds, then the null hypothesis is false.
Since we did not reject the null hypothesis even though it is false, the error that was committed was therefore a type II error.
In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_
Answer: 1400 packages
Step-by-step explanation:
1150+1200+1900+1350 divided by the 4 day interval means and average of:
1400 packages per day
[09.01]
Identify the domain of the equation y=x2 - 6x + 1. (1 point)
Answer:
All real numbers.
Step-by-step explanation:
As there are no restrictions on the values of x, the domain is all real numbers.
Answer:
All real numbers.
Step-by-step explanation:
For f(x)=1/x^2-3, substitute h for x in the function to solve for f(h).
The required function of h i.e f(h) is expressed as
[tex]f(h) = \dfrac{1}{h^2-3}[/tex]
Substitution of a function means replacing a variable with another variable without changing the structure of such function. According to the function given, we can see that we are simply meant to replace x with h as shown below:
Given the expression
[tex]f(x) = \frac{1}{x^2-3}[/tex]
To get f(h), we will substitute f in place of x that is x -> h as shown
[tex]f(h) = \frac{1}{h^2-3}[/tex]
Hence the required function of h i.e f(h) is expressed as
[tex]f(h) = \dfrac{1}{h^2-3}[/tex]
Learn more: https://brainly.com/question/4357143
State the additional congruency statement t(s) needed to prove triangle ABC cong triangle FGH for the given theorem A.SAS Theorem B.ASA theorem
Answer:
part a:
AC=HF (Given)
angle BAC= angle GFH (Given)
ans: BA=GF
part b:
Angle BAC= angle GFH (Given)
AC=HF (Given)
ans: Angle BCA = Angle GHF
Or
AngleABC = Angle FGH
Suppose that 17 inches of wire costs 68 cents.
At the same rate, how much (in cents) will 39 inches of wire cost?
cents
Х
5
?
Answer:
5
Step-by-step explanation:
17 inches is equal to 39 inches and it's answer is 5
Cost of 17 inches of wire = 68 cents
Cost of 1 inch of wire
= 68 cents/17
= 4 cents
Cost of 39 inches of wire
= 4 cents × 39
= 156 cents
= $1.56
You have 9kg of oats and cup scales that gears of 50g and 200g. How − in three weighings− can you measure 2kg of the oats?
Answer: You will need 8 cup scales
Step-by-step explanation:
kg=1000 grams
2000/250=8
It is possible to measure 2 kilograms or 2000 grams in 8 cups, it is not possible to measure in three weighs.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What is percentage?The percentage is defined as the ratio expressed as a fraction of 100.The percentage is denoted by sign of %.For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.
Given data as :
9kg of oats and cup scales that gears of 50g and 200g.
Total oats need to measure = 9kg
Since, 1 kg contains 1000 grams.
1 kg = 1000 grams
2kg = 2000 grams
9kg = 9000 grams
Cup scales that gears as 50g and 200g
The number of one cup contains in gram = 200 + 50 = 250
The number of cups, considering that each cup weighs 250 grams.
The number of cups = 2000/250
The number of cups = 8
Hence, while it is possible to measure 2 kilograms or 2000 grams in 8 cups, it is not possible to measure in three weighs.
Learn more about Ratio here:
brainly.com/question/1504221
#SPJ5
Write 41/12 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats. Write as a decimal.
Answer:
3.416, bar above 6
Step-by-step explanation:
41/12 = 3.4166666666666
41/12 = 3 & 5/12
Answer:
66
Step-by-step explanation:
41/12 = 3.4166
simplify using distributive property
2396 X 78 + 2396 X 22
Answer:
239600Step-by-step explanation:
2396 × 78 + 2396 × 22 =2396 × (78 + 22) =2396 × 100 =239600[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]
[tex]\\ \sf\longmapsto 2396\times 78 +2396\times 22[/tex]
[tex]\\ \sf\longmapsto 2396(78+22)[/tex]
[tex]\\ \sf\longmapsto 2396(100)[/tex]
[tex]\\ \sf\longmapsto 239600[/tex]
Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.
A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet
The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A
The diagram for the question is shown as described in the question in the attachment below.
From the diagram,
Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C
/AG/ = 1200 feet
/AG/ = /BD/ = 1200 feet ( as shown in the diagram)
The distance between the two balloons is equal to /GD/
Also, from the diagram, /GD/ = /GC/ + /CD/
To find /GC/,
Consider ΔAGC
/AG/ = 1200 feet
/GC/ = ?
From the question, "Balloon A has risen at a 56° angle"
∴ x° = 56°
Using the formula
[tex]tan(x^{o} ) = \frac{/AG/}{/GC/}[/tex]
[tex]tan(56^{o}) = \frac{1200}{/GC/}[/tex]
[tex]/GC/ = \frac{1200}{tan(56^{o}) }[/tex]
/GC/ = 809.41 feet
To find /CD/
Consider ΔBCD
/BD/ = 1200 feet
/CD/ = ?
From the question, "Balloon B has risen at a 81° angle"
∴ y° = 81°
Using the formula
[tex]tan(y^{o} ) = \frac{/BD/}{/CD/}[/tex]
[tex]tan(81^{o}) = \frac{1200}{/CD/}[/tex]
[tex]/CD/ = \frac{1200}{tan(81^{o}) }[/tex]
/CD/ = 190.06 feet
Now, recall that /GD/ = /GC/ + /CD/
∴ /GD/ = 809.41 feet + 190.06 feet
/GD/ = 999.47 feet
/GD/ ≅ 999 feet (to the nearest whole number)
Hence, the distance between the two balloons is 999 feet
Balloon B is 999 feet from balloon A.
Learn more here: https://brainly.com/question/15979174
Answer:
999 Units
Step-by-step explanation:
ASAP!!!!!!!asap!!!!!!!!!!!! asap asap asap
Answer:
7). x = 3.2, AC = 42.8
8). a = 6, YZ = 38
Step-by-step explanation:
It is given in the question that a point B is between A and C of the line segment AC.
⇒ AB + BC = AC
By substituting the values of segments,
5x + (9x - 2) = (11x + 7.6)
14x - 2 = 11x + 7.6
14x - 11x = 7.6 + 2
3x = 9.6
x = 3.2
Therefore, AC = 11x + 7.6
= 11(3.2) + 7.6
= 35.2 + 7.6
= 42.8
Question (8).
If Y is a point between X and Z,
⇒ XY + YZ = XZ
By substituting the measures of these segments given in the question,
(3a - 4) + (6a + 2) = (5a + 22)
9a - 2 = 5a + 22
9a - 5a = 22 + 2
4a = 24
a = 6
Since, length of segment YZ = 6a + 2
= 6(6) + 2
= 38
two ratios equivalent to 27:9
Answer:
Those ratios could be 3:1
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest
Step-by-step explanation:
9) let number=x
Four times a number=4x
Condition:
4x+5=32
10) square of number=x²
Condition:
x²-4=12
11)
Condition:
3(x+4)=20
Note:if you need to know any question please let me know.
Show Work! A warehouse worker shipped 289 boxes of notebooks. Each box contained 36 notebooks. What was the total number of notebooks shipped?
(A) 2, 601
(B) 9, 404
(C) 10, 404
(D) 10, 413
Answer:
(c) 10, 404.
Step-by-step explanation:
Step 1.
To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.
Step 2.
Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:
6 × 9 = 54
Put the 4 in the appropriate column and carry the 5.
6 × 8 + 5(carried) = 53
Put the 3 in the appropriate column and carry the 5.
6 × 2 + 5(carried) = 17
Put the 7 in the appropriate column and carry the 1.
Step 3.
Lastly, work out 30 × 289.
This can be written as 3 × 289 × 10.
Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.
3 × 9 = 27
Put the 7 in the appropriate column and carry the 2.
3 × 8 + 2(carried) = 26
Put the 6 in the appropriate column and carry the 2.
3 × 2 + 2(carried) = 8
Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.
0 + 4 = 4
7 + 3 = 10
Put the 0 in the appropriate column and carry the 1.
6 + 7 + 1(carried) = 14
Put the 4 in the appropriate column and carry the 1.
8 + 1 + 1(carried) = 10
Put the 0 in the appropriate column and carry the 1.
1 (carried) = 1
So: 289 × 36 = 10404
Mathematics done on paper should look something like this; ( Did the best I can on PC)
2 8 9
................. 3....6....×
1 7 3 4
1 5 5
8 6 7 0
....... 2......2.........
1 0 4 0 4
1 1 1
Hope this helped!
write each of the following fraction as equivalent fractions with a denominator of 10 a. 1/2 b. 1/4 c. 3/30 d. 12/30
9514 1404 393
Answer:
a. 5/10
b. 2.5/10
c. 1/10
d. 4/10
Step-by-step explanation:
To find the numerator, multiply each fraction by 10.
a. (1/2)(10) = 5, so 1/2 = 5/10
b. (1/4)(10) = 2.5, so 1/4 = (2.5)/10 or (5/2)/10
c. (3/30)(10) = 1, so 3/30 = 1/10
d. (12/30)(10) = 4, so 12/30 = 4/10
Which statement best describes a sequence? a.All sequences have a common difference. b.A sequence is always infinite. c.A sequence is an ordered list. d.A sequence is always arithmetic or geometric.
Answer:
C
Step-by-step explanation:
A sequence is defined as a list of numbers or objects in a special order.
They may be arithmetic or geometric or neither.
For example
0, 1, 4, 9, 16, 25, ..... ← is the sequence of square numbers.
Note it is neither arithmetic or geometric.
Write the perimeter of the triangle as a
simplified expression.
3y + 5
бу
Y-4
Answer:
10y+1
Step-by-step explanation:
The perimeter is the three sides added together
3y+5+6y+y-4=
10y+1
Answer:
[tex]\huge\boxed{P_\triangle=10y+1}[/tex]
Step-by-step explanation:
The formula of a perimeter of a triangle:
[tex]P_\triangle=a+b+c[/tex]
We have:
[tex]a=3y+5,\ b=6y,\ c=y-4[/tex]
Substitute:
[tex]P_\triangle=(3y+5)+(6y)+(y-4)=3y+5+6y+y-4[/tex]
Combine like terms:
[tex]P_\triangle=(3y+6y+y)+(5-4)=10y+1[/tex]
-3(-5x-2u+1) use the distributive property to remove the parentheses
Answer:
15x+6u−3
Step-by-step explanation:
This means -3 times -5x, -3 times -2u, and -3 times 1.
Do this and you have, 15x+6u-3.
21
22
C
Because of President Clinton's stand on Haiti,
O President Aristide was assassinated.
O President Aristide fled to Somalia.
O Haitian military powers agreed to step aside.
O Haitian rulers threatened to invade the United States.
Mark this and return
Save and Exit
sont vodo)
Answer:
Haitian military powers agreed to step aside.
Step-by-step explanation:
How did President Clinton react when military leaders in Haiti overthrew Aristide? He threatened to invade Haiti if Aristide wasn't returned to power. ... Because of President Clinton's stand on Aristide's oust from power in Haiti, Haitian military powers agreed to step aside.
C. Haitian military powers agreed to step aside.
edge 2021
Question
Consider these functions.
f(x) = -9x + 14
g(x)=-3x2
Select the correct answer from each drop-down menu.i
If x = 6, then f(6)
If g(x) -48, then x =
and x =
Submit
Answer:
[tex]\large \boxed{-40, \ 4, \ -4}[/tex]
Step-by-step explanation:
[tex]f(x)=-9x+14[/tex]
[tex]\sf Put \ x \ as \ 6.[/tex]
[tex]f(6)=-9(6)+14[/tex]
[tex]f(6)=-54+14[/tex]
[tex]f(6)=-40[/tex]
[tex]g(x)=-3x^2[/tex]
[tex]\sf Put \ g(x) \ as \ -48.[/tex]
[tex]-48=-3x^2[/tex]
[tex]\displaystyle \frac{-48}{-3} =\frac{-3x^2 }{-3}[/tex]
[tex]16=x^2[/tex]
[tex]\sqrt{16} =\sqrt{x^2 }[/tex]
[tex]x= \pm 4[/tex]
Answer:
F(6) = -9(6) + 14 = -54 + 14. f(6) = -40
G(x) = -48 / g(x) = -3(16) / g(4) = -48
Step-by-step explanation:
For the first one the drop answer is -40
For the second one its 4 then 16
I think because that whats im seeing but these are the right answers :)
Write the number 12794.5 in scientific notation.
Answer:
the other guy is wrong the answer is 1.27945 × 10 but then 10 is to the power of 4 but I do not know how to type that.
Step-by-step explanation:
To convert 12794.5 into scientific notation, follow these steps:
1. Move the decimal 4 times to left in the number so that the resulting number, m = 1.27945, is greater than or equal to 1 but less than 10
2. Since we moved the decimal to the left the exponent n is positive
n = 4
3. Write in the scientific notation form, m × 10 to the power of n
= 1.27945 × 10 to the power of 4
Therefore, the decimal number 12794.5 written in scientific notation is 1.27945 × 10to the power of 4 and it has 6 significant figures.
I help! solve 12x^2+54x=-42
Answer: Hi!
Let's solve your equation step-by-step.
12x^2 + 54x = −42
Step 1: Subtract -42 from both sides.
12x^2 + 54x − (−42) = − 42 − (−42)
12x^2 + 54x + 42 = 0
Step 2: Factor left side of equation.
6(2x + 7)(x + 1) = 0
Step 3: Set factors equal to 0.
2x + 7 = 0 or x + 1 = 0
You have two answers.
x = −7/2 or x = −1
Hope this helps!