Answers
Answer:
B. [tex]p^2+p-11[/tex].Step-by-step explanation:
Step 1:
[tex]((((3+(4*(p^2)))-5p)-3p^2)+4p)+8[/tex]Step 2:
[tex]((((3 + 22p^2) - 5p) - 3p^2) + 4p) + 8[/tex]Step 3:
Factoring [tex]p^2-p+11[/tex]The first term is, [tex]p^2[/tex] its coefficient is 1 .The middle term is, -p its coefficient is -1 .The last term, "the constant", is +11 Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11 Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -1 . -11 + -1 = -12 -1 + -11 = -12 1 + 11 = 12 11 + 1 = 12 Observation : No two such factors can be found !!Conclusion : Trinomial can not be factoredFinal Solution:
[tex]p^2 + p - 11[/tex]Related Questions
The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
radioactive element will remain after 45 years?
Answers
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265[/tex]
After 45 years, approximately 0.225 grams of the original 3.6 grams of plutonium-241 will remain.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
To solve this problem, we can use the formula for radioactive decay:
[tex]N = N_0 \times (\dfrac{1}{2})^{\frac{t}{T}[/tex]
Where:
N = the amount of radioactive material remaining after time t
N₀ = the initial amount of radioactive material
t = time
T = the half-life of the radioactive material
We know that the half-life of plutonium-241 is 14.4 years, and we want to find the amount of plutonium-241 remaining after 45 years. We also know that the initial amount of plutonium-241 is 3.6 grams. So we can plug these values into the formula:
[tex]N = 3.6 \times (\dfrac{1}{2})^\frac{45}{14.4}[/tex]
N ≈ 0.225 grams
Therefore, after 45 years, approximately 0.225 grams of the original 3.6 grams of plutonium-241 will remain.
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4
Jorge is improving the structural stability of a table
by reinforcing the table's leg joints with triangular
cross-braces. The cross-braces will connect the
points where legs are attached to the tabletop to
the midpoint of the bottom of the table's base.
Notice in his sketch that the cross-braces will form
a 53° angle with each other, and will form two
angles that both measure x° with the legs of the
table.
PLEASE HELP WITH THESE QUESTION
Answers
Answer:
x° = 26.5
Step-by-step explanation:
Each triangle is a right triangle; one angle = 90°, second angle = x° , and the third angle = 63.5° because the 53° + the two angles adjacent to 53° is will = 180° which is the measure of a straight angle and those two angles are equal because the triangles are congruent by HA ; 180° - 53° = 127° ÷ 2 = 63.5°.
Now each triangle angles = 180° so 90° + x° + 63.5° = 180°; 153.5° + x° = 180;
x° = 180 - 153.5; x° =26.5°
i need help answering this question as soon as possible. i don’t understand it
Answers
Answer:
B)
Step-by-step explanation:
Given f(x) = ( 7 - 8x )²
let f(x) be y,
y = ( 7 - 8x )² .............to find inverse we have to make x the subject.
±√y = 7 - 8x
-8x = √y - 7
x = (±√y - 7 ) / -8
Then,
Inverse of ( 7 - 8x )² is [tex]-\frac{\sqrt{x}-7}{8},\:-\frac{-\sqrt{x}-7}{8}[/tex] and is a function.
What % of 15 = 12?????????????????
Answers
Answer:
80.
Step-by-step explanation:
Hope it helps
my first answer was 125% but then I realised I seen the wrong number sorry my eyes are not very good lol
is my answer right? if not break the hard news and give me the right one
Answers
Answer:
Yes
Step-by-step explanation:
5 - 2 / 4 - 2 ---> Rise Over Run (first two coordinates)
3/2 --> Slope
2 - 3 = -1
(0, -1)
-1 --> y-intercept
22. A parabola equation is given as y = 3(x - 2)^2 + 5. What are the coordinates of the vertex?
Answers
Answer:
(2, 5)
Step-by-step explanation:
The x coordinate is the number inside the parentheses, but with the opposite sign, 2
The y coordinate is the number at the end
Answer:
vertex: (2, 5)
Step-by-step explanation:
y=3(x−2)2+5
this is a parabola because of one variable squared and the other one is not so now write it in the standard form of parabolas which it is = to
______
Vertical :
(x−h)2=4p(y−k)
Horizontal:
(y−k)2=4p(x−h)2
vertex = (h, k)
______
this y=3(x−2)2+5 equation is vertical since x is squared
subtract 5 from both sides:
y−5=3(x−2)2
divide both sides by 3:
(y−5)13=(x−2)2
vertex:
(2,5)
Look at this graph.
10
8
6
-10
-8
-6
-4
-2
0
2
4
6
8
co
10
-2.
-4
-6
8
-10
1) Write the equation for the relationship shown in the graph. Start your equation with y
first, followed by an equals sign. Use whole numbers or fractions in simplest form.
Answers
Y= -4x + 0
What is the solution to this inequality?
6x – 5 -29
x >4
x <4
x < -4
x > -4
Answers
I Don't know the answer to this maths
You have 2 different savings accounts. For Account A, the simple interest earned after 9 months is $2.40. For Account B, the simple interest earned after 30 months is $27.50. If the interest rate is 3.2% for Account A and 2.2% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answers
whats is 2x-5=y
-3x-1=2y
Answers
Answer:
[tex]x= \frac{9}{7}[/tex] ; [tex]y= -\frac{17}{7}[/tex]
Step-by-step explanation:
-3x - 1 = 2(2x-5)
-3x-1=4x-10
7x=9
x=9/7
y=2× [tex]\frac{9}{7}[/tex] - 5 = -17/7
What is the volume of this rectangular prism? If the numbers are 3, 3/5, and 4/3?
Answers
Answer:
2 2/5 cubic cm
Step-by-step explanation:
to find a volume of a rectangular prism you multiply the length width and height together
so our equation looks like this
3 * (4/3) * (3/5)
we can split this equation up into
[3(4/3)] * 3/5
and do the 3 * (4/3) first
3 * (4/3) is 4 when you cross reduce
then multiply 4 by (3/5) and you get 12/5
12/5 or 2 2/5 is your answer
how to calculate standard deviation without population size
Answers
Answer:
How do you calculate standard deviation without a data set?
You can calculate from other information.
For example, if you roll a standard die, you’re equally likely to get results 1, 2, 3, 4, 5 or 6. The mean result is 1+2+3+4+5+66=3.5 . The variance is 12+22+32+42+52+626−3.52=916−12.25≈2.9167 . Therefore the standard deviation is 2.9167−−−−−√=1.7078 .
Or suppose you know that the chance that a scratch-off lottery ticket returns some prize is 1 in 10. If you buy 900 tickets, on average you will get 90 that return some prize. The standard deviation of the number is 900×0.1×(1–0.1)−−−−−−−−−−−−−−−√=81−−√=9 .
In many other situations you can calculate standard deviation from the information you have. In other situations you can estimate a subjective standard deviation from what you don’t know. You might look at someone and guess their age at 35, with a subjective standard deviation of 4 years.
Unit 7: Polygons and Quadrilaterals Homework 6: Kites Need Help Stat PLEASE HELP!!!!! 20 POINTS
Answers
1) The measures of angles H and F are 121°, respectively.
2) The measures of angles U and V are 65° and 139°, respectively.
3) The missing angles are [tex]m \angle 1 = 72^{\circ}[/tex], [tex]m\angle 2 = 72^{\circ}[/tex], [tex]m\angle 3 = 47^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m\angle 5 = 18^{\circ}[/tex], [tex]m\angle 6 = 47^{\circ}[/tex] and [tex]m\angle 7 = 43^{\circ}[/tex].
4) The missing angles are [tex]m \angle 1 = 55^{\circ}[/tex], [tex]m\angle 2 = 35^{\circ}[/tex], [tex]m\angle 3 = 35^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m \angle 5 = 55^{\circ}[/tex], [tex]m \angle 6 = 67^{\circ}[/tex], [tex]m\angle 7 = 67^{\circ}[/tex], [tex]m\angle 8 = 23^{\circ}[/tex] and [tex]m \angle 9 = 23^{\circ}[/tex], respectively.
5) The measure of side [tex]QT[/tex] is [tex]\sqrt{105}[/tex].
6) The measure of side [tex]DF[/tex] is [tex]4\sqrt{26}[/tex].
7) The measure of side [tex]NP[/tex] is [tex]3\sqrt{65}[/tex].
8) The value of [tex]x[/tex] is 17.
9) The value of [tex]x[/tex] is 6.
10) The measure of angle EDC is 107°.
11) The measure of angle RST is 122°.
How find missing angles and sides in rhombuses
1) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the measures of angles H and F are 121°, respectively. [tex]\blacksquare[/tex]
2) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the measures of angles U and V are 65° and 139°, respectively. [tex]\blacksquare[/tex]
3) According to geometry, the sum of internal angles in a triangle equals 180° and the sum of internal angles in a quadrilateral equals 360°. The missing angles are [tex]m \angle 1 = 72^{\circ}[/tex], [tex]m\angle 2 = 72^{\circ}[/tex], [tex]m\angle 3 = 47^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m\angle 5 = 18^{\circ}[/tex], [tex]m\angle 6 = 47^{\circ}[/tex] and [tex]m\angle 7 = 43^{\circ}[/tex], respectively. [tex]\blacksquare[/tex]
4) According to geometry, the sum of internal angles in a triangle equals 180° and the sum of internal angles in a quadrilateral equals 360°. The missing angles are [tex]m \angle 1 = 55^{\circ}[/tex], [tex]m\angle 2 = 35^{\circ}[/tex], [tex]m\angle 3 = 35^{\circ}[/tex], [tex]m\angle 4 = 90^{\circ}[/tex], [tex]m \angle 5 = 55^{\circ}[/tex], [tex]m \angle 6 = 67^{\circ}[/tex], [tex]m\angle 7 = 67^{\circ}[/tex], [tex]m\angle 8 = 23^{\circ}[/tex] and [tex]m \angle 9 = 23^{\circ}[/tex], respectively. [tex]\blacksquare[/tex]
5) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:
[tex]QT = \sqrt{PQ^{2}-PT^{2}}[/tex]
[tex]QT = \sqrt{13^{2}-8^{2}}[/tex]
[tex]QT = \sqrt{105}[/tex]
The measure of side [tex]QT[/tex] is [tex]\sqrt{105}[/tex]. [tex]\blacksquare[/tex]
6) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:
[tex]DF = 2\cdot DH[/tex], [tex]DH = \sqrt{DE^{2}-EH^{2}}[/tex]
[tex]DF = 2\cdot \sqrt{DE^{2}-EH^{2}}[/tex]
[tex]DF = 2\sqrt{15^{2}-11^{2}}[/tex]
[tex]DF = 4\sqrt{26}[/tex]
The measure of side [tex]DF[/tex] is [tex]4\sqrt{26}[/tex]. [tex]\blacksquare[/tex]
7) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:
[tex]NK = 7\cdot x - 1[/tex], [tex]NM = 10\cdot x - 13[/tex], [tex]KM = 24[/tex], [tex]NK = NM[/tex], [tex]KP = \frac{KM}{2}[/tex]
[tex]NP = \sqrt{NK^{2}-KP^{2}}[/tex]
[tex]NP = \sqrt{[7\cdot (4)-1]^{2}-12^{2}}[/tex]
[tex]NP = 3\sqrt{65}[/tex]
The measure of side [tex]NP[/tex] is [tex]3\sqrt{65}[/tex]. [tex]\blacksquare[/tex]
8) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the value of [tex]x[/tex] is 17. [tex]\blacksquare[/tex]
9) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the value of [tex]x[/tex] is 6. [tex]\blacksquare[/tex]
10) According to geometry, the sum of internal angles in a triangle equals 180°. Hence, we have the following expressions:
[tex]m\angle EDC = 180^{\circ}-90^{\circ}-[2\cdot (2)+13][/tex]
[tex]m\angle EDC = 107^{\circ}[/tex]
The measure of angle EDC is 107°. [tex]\blacksquare[/tex]
11) According to geometry, the sum of internal angles in a triangle equals 180°. Hence, the angle RST is:
[tex]m\angle RST = 2\cdot (3\cdot 12 +25)[/tex]
[tex]m \angle RST = 122^{\circ}[/tex]
The measure of angle RST is 122°. [tex]\blacksquare[/tex]
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nearest tenth of a percent when necessary. Last year, there were 120 students in the marching band. This year there are 138
Answers
138 - 120 = 18
18/120 = 0.15
0.15 x 100 = 15
(final value - starting value) / starting value x 100 = increase percentage
Marty went on a bike ride to the store 8 miles away. If it took Marty 34 of an hour to get there and 12 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
Answers
Answer:
um
Step-by-step explanation:
i dont know
32. Shallah Middle School is planning a school trip. The cost is $5 per person. The organizers know that three adults are going on the trip, but they do not yet know the number of students who will go. Write an expression that represents the total costs for x students and three adults.
Answers
3+5x
This is the answer
The nth term of a number sequence is 7nFind the first three terms.
Answers
Answer:
7, 14, 21
Step-by-step explanation:
for n as term number
n = 1
7n = 7
n = 2
7n = 14
n = 3
7n = 21
hence the first 3 terms are 7, 14, 21
ances
A hole in the ground is 3 feet deep. A pile of dirt next to the hole is 3 feet high. Which list
best uses the values -3.0, and 3 to describe these elevations?
ground level:
bottom of the hole:
top of the dirt pile:
3 feet
3 feet
O feet
ground level:
bottom of the hole:
top of the dirt pile:
3 feet
0 feet
3 feet
ground level:
bottom of the hole:
top of the dirt pile:
0 feet
3 feet
-3 feet
ground level:
bottom of the hole:
top of the dirt pile:
O feet
-3 feet
3 feet
Answers
The speed of sound is approximately 761
miles per hour. For an object to create a sonic boom, it must travel faster than the speed of sound. Write an inequality that describes the speeds s
at which a moving object will create a sonic boom.
Answers
Answer:
s>761
Step-by-step explanation:
I think
What is the mechanical advantage of a pulley? 0. 5 1. 0 1. 5 2. 0.
Answers
The mechanical advantage of the pulley is 1.
Mechanical advantageThe ratio of the force produced by a machine to the force applied to it.
The formula for mechanical advantage.[tex]\rm M.A. = \dfrac{F_o}{F_i}[/tex]
Here, [tex]\rm F_o[/tex] is output force and [tex]\rm F_i[/tex] input force.
GivenA pulley is given.
To findThe mechanical advantage of the pulley.
How to find a mechanical advantage?We know by Newton's first law.
P = W
where P is applied force
and W is the weight of the object.
Then
[tex]\rm M.A. = \dfrac{F_o}{F_i}\\\\M.A. = \dfrac{P}{W}\\\\M.A. = \dfrac{P}{P}\\\\M.A. = 1[/tex]
The mechanical advantage of the pulley is 1.
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Part F How many of the 320 million Americans would you predict wear contact lenses?
Answers
Answer:
there are 2
Step-by-step explanation: happy to help
[tex]\sqrt} 6 ( \sqrt} 30)[/tex]
Answers
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{6}[/tex] · [tex]\sqrt{6}[/tex] · [tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]
Factor [tex]100x^{2} - 81y^{2}[/tex]
With steps
Answers
Answer:
(10x - 9y)(10x + 9y)
Step-by-step explanation:
100x² - 81y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
100x² - 81y²
= (10x)² - (9y)²
= (10x - 9y)(10x + 9y)
Answer:
Step-by-step explanation:
ILL GIVE BRAINLY!! 12 MINUTES LEFT!!!!!! Nathan claims that large bodies of water cool more slowly than small bodies of water.
Describe an investigation that would provide evidence to support Nathan’s claim. Be sure to identify the tools Nathan needs to do the investigation.
Answers
2 ponds in a dessert climate, the smaller one will cool faster due to thermal conduction
Determine whether triangles ACB and AEF are similar. Show your working and explain your reasoning.
(Hint: First draw them as separate triangles. Then decide whether the triangles are similar by showing Angle-Angle Similarity, Side-Angle-Side Similarity, or Side-Side-Side Similarity)
Answers
Step-by-step explanation:
It is assumed EF and CB are parallel.
The triangles ACB and AEF are similar by SAS as:
CAB is common angleAC and AE overlapAB and A F overlapConfirm if corresponding sides have same ratios:
AC / AE = AB / A F(8 + 4) / 8 = (10 + 5) / 1012/8 = 15/101.5 = 1.5Confirmed
what is the area of figure B
Answers
Answer:
The second option is correct.
Step-by-step explanation:
[tex]Solution,\\Breadth(b)=5cm\\Length (l)=4cm+6cm=10cm\\Now ,\\Area=l*b=5cm*10cm=50cm^{2}[/tex]
You can run 12 miles in 72 minutes. What is your unit rate in minutes per mile?
Answers
Answer:
6 minutes per mile
Step-by-step explanation:
72 divided by 12 equals 6
HURRY PLEASE PLEASE
A high school auditorium is used for two meetings over the 100 minutes. The polynomial
function p(x) models the number of open seats in the auditorium from 10 A.M. (when x = 0)
to 11:40 A.M. (when x = 100)
Answers
Polynomials are algebraic expressions represented by variables and coefficients.
(a) How to determine the interval the open seats increasedThis is the interval, where the open seats increase the same time the time in minutes increases.
From the graph, the open seats increases at the interval (100, 600)
(b) The time the first meeting endedThis is the first point where the curve changes its direction from decreasing values to increasing values
From the graph, the curve changes its direction at point (25,100)
Hence, the first meeting ended at 10:25 AM
(c) When there were 700 open seatsFrom the graph, we have:
(x,y) = (5, 700)
Hence, there were 700 open seats at 10:05 AM
(d) The average rate of change from 10:00 AM to 10:25 AMAt 10:00 AM, we have:
(x,y) = (0,800)
At 10:25 AM, we have:
(x,y) = (25,100)
So, the average rate of change is:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{100 - 800}{25 - 0}[/tex]
[tex]m = \frac{-700}{25 }[/tex]
[tex]m = -28[/tex]
Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute
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what is 14 3/4 divide 25
Answers
Answer:
0.59
Step-by-step explanation:
Pleasee help me with THISS thankksssd
Answers
Answer:
RP/QR = OP/NO
Step-by-step explanation:
RP corresponds to OP, QR corresponds to NO. So, RP/QR = OP/ON
