Answer:
A. -4c^2+4c+6
Step-by-step explanation:
2+7c-4c^2-3c+4
-4c^2+7c-3c+4+2
-4c^2+4c+6
The lengths of the sides of a triangle are in the ratio 3:4:5. Find the lengths of the sides of this triangle if its perimeter is 96 cm.
Answer: 16 one side 32 second side 48 third side
Step-by-step explanation:
16;32;48
3;4;5
Answer:
24, 32, 40
Step-by-step explanation:
We know that the ratio of the sides is 3:4:5, and that total is 96.
First I tested out some numbers by multiplying them by 3, 4, and 5
Eventually I got to 8;
8×3:8×4:8×5 --> 24:32:40 --> 3:4:5
24+32+40=96
Meaning, the sides were 24, 32, and 40
Hope this helps, and good luck!
The coordinates of the vertices of a polygon are shown below. D(–4, 5), E(–1, 5), F(1, 2), and G(–1, –1) What type of polygon is this figure? heptagon hexagon octagon quadrilateral
Step-by-step explanation:
Since the polygon has four vertices (D,E,F and G), it is a quadrilateral (4 vertices).
Answer:quadrilateral
Step-by-step explanation:
It has four points, so it has four sides which makes it a quadrilateral.
1)Find the third side of a triangle when two sides of the triangle is 4 and the included angle measuring 89 degrees
2)you were asked by your teacher to add up the numbers 1 to 100. Please show all work
3)determine if the foci for the following ellipse are correct and explain your reasoning 7x2 + 8y2 = 30; foci: (sqrt11, 0), (-sqrt11, 0)
Answer:
1) The length of the third side is 5.607 units
2) The sum of the numbers from 1 to 100 is 5050
3) For the x-axis, foci: ((√15/28), 0) and (-(√15/28), 0)
For the y-axis, foci: (0, (√15/28)) and (0, -(√15/28))
Step-by-step explanation:
1) When two sides of the triangle are equal to 4 then the triangle is an isosceles triangle
Given that the included angle (the angle between the two sides) is 89°, we have;
The other two base angles are equal to {180 - 89)/2 = 91/2 = 45.5°
Therefore, we have from cosine rule;
a² = b² + c² - 2·b·c·cos(A)
We note that the angle opposite the third side is the included angle 89°, therefore, when we put a as the third side in the above equation, we have;
a² = 4² + 4² - 2×4×4×cos(89°)
a² = 31.44
a = 5.607
The length of the third side is 5.607 units
2) The numbers 1 to 100 form an arithmetic series with the first term, a = 1 and the common difference, d = 1 with the number of terms n = 100
The sum of an arithmetic progression, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2}\cdot (2 \cdot a + (n - 1) d)[/tex]
Therefore, by plugging in the values, we have;
Sₙ = 100/2*(2*1 + (100 - 1)*1) = 100/2*(101) = 5050
The sum of the numbers from 1 to 100 is 5050
3) The foci of an ellipse 7·x² + 8·y² = 30 is found as follows;
Dividing both sides of the equation by 30 gives;
7/30·x² + 8/30·y² = 30/30
7/30·x² + 8/30·y² = 30/30
7/30·x² + 4/15·y² = 1
Which is of the form;
x²/a² + y²/b² = 1
For the x-axis we have
c² = a² - b²
c² = 30/7 - 15/4 = 15/28
h = 0, k = 0
Foci: ((√15/28), 0) and (-(√15/28), 0)
For the y-axis, we have;
x²/b² + y²/a² = 1
The foci are then (0, (√15/28)) and (0, -(√15/28)).
Create two equations, one that will model a linear relation and one that will not (e.g., y = -3x +2, y = 4x2 -7). Describe the ways by which you could determine whether it is a linear relation. Include calculations, graphs, tables of values and anything else you feel will support your argument.
Answer:
linear: y = x + 1
non-linear: y = x² + 1
Step-by-step explanation:
In a linear relationship, from one pair (x1,y1) to other one (x2,y2) that satisfies the equation, there is a constant k, so that k = (y2 - y1)/(x2 - x1).
Equation: y = x + 1
Computing some points as an example:
x | y
0 | 1
1 | 2
2 | 3
3 | 4
(2-1)/(1-0) = (3-2)/(2-1) = (4-3)/(3-2) = 1. Therefore, the equation is linear.
Equation: y = x² + 1
Computing some points as an example:
x | y
0 | 1
1 | 2
2 | 5
3 | 10
(2-1)/(1-0) ≠ (5-2)/(2-1) ≠ (10-5)/(3-2). Therefore, the equation is not linear.
If an apple has a mass of 25 kg and a momentum of 50 kg-m/s
south, what is its velocity?
O 5 m/s south
O 125 m/s north
0 0.2 m/s south
2 m/s south
Answer:
2m/s south
Step-by-step explanation:
p = mv
Where p is the momentum, m is the mass, while v is the velocity.
Given that
m = 25kg
v = ?
p = 50kgm/s
Substituting the values into the formula.
50kgm/s = 25×v
50kgm/s = 25v
Divide both sides by 25
v = 50/25
v = 2m/s
From the option list, the answer is
2m/s south
what is the standard deviation of {0, 3, 1, 1, 0, 5, 1, 0, 3, 0},
Answer:
1.7
Step-by-step explanation:
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
Answer:
4096
Step-by-step explanation:
You do the equation 4^6
[tex]\huge\mathbb\skyblue{Question:}[/tex]
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
[tex]\huge\mathbb\skyblue{Solution:}[/tex]
do this equation 4^6 ^^
So the Answer is 4096
[tex]\huge\mathbb\color{skyblue}{Answer:}[/tex]
4096 rabbits will Jocelyn have in 5years.
᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽
If you have any questions, feel free to ask me <33
[tex]\tiny\bold\color{lightpink}{\boxed{\overbrace{\underbrace{ArianahMaxxiLou}}}}[/tex]
the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, find the greatest whole number that can divide both 792 and 990 exactly.
Answer:
198
Step-by-step explanation:
Please can someone help I have tried many times
Answer:
My answer is in the attached picture
Step-by-step explanation:
Enlarged by a scale of 2 using P as the centre of enlangment.
Answer:
Step-by-step explanation:
All you should do is to draw lines that conect each node of the triangle with the center of enlargement .
Answer this as quick as possible please! (NO EXPLANATION REQUIRED!) <3
Answer: 9 Apples
Step-by-step explanation:
Given the following :
Total number of bags = 12
Mean of the distribution(m) = 8
Number of apples (x):
6 - - - - 7 - - - - 8 - - - - 9 - - - - 10
Frequency (f) :
1 - - - - 4 - - - - 2 - - - - 3 - - - - 1
Therefore :
Let number of apples in the 12th bag = y
Frequency of 12th bag : (12 - 11) = 1
Mean of distribution(m) :
Sum of ( f * x) / sum of f
Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)
Sum of (f * x) = (6+28+16+27+10+y) = 87 + y
Sum of f = 12
From :
m = Sum of ( f * x) / sum of f
8 = (87 + y) / 12
87 + y = 12 * 8
87 + y = 96
y = 96 - 87
y = 9
Number of apples in 12th bag is 9 apples
what is 1+1, is the answer a letter and why
Answer:
2
Step-by-step explanation:
Lets say John had 1 apple and Sarah gave him 1 more apple. John would now have 2 apples.
Hope this helps :)
Answer:
B
Step-by-step explanation:
1=a 2=b
Question 13 PLEASE HELP Find the x-intercept of -x +2y =6. X-intercept: (___,0)
Answer:
(-6,0)
Step-by-step explanation:
The x intercept is when y = 0.
So, -x +2(0) = 6
-x = 6
x = -6
Let ƒ(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).
Answer:
The answer is option D.
Step-by-step explanation:
f(x) = x² + 2x
g(x) = 2x
To find (ƒ ∘ g)(2) first find (ƒ ∘ g)
To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)
That's
(ƒ ∘ g) = (2x)² + 2(2x)
= 4x² + 4x
Substitute 2 into the expression
That's
(ƒ ∘ g)(2) = 4(2)² + 4(2)
= 4(4) + 8
= 16 + 8
= 24
Hope this helps you.
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
How many magazines are there?
12 magazine.
Step by step explanation:
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
Story: c
Magazine: r
C / R
C = 4K
R = 3k
4K + 3k = 28
7k = 28
K = 7/28
K = 4
Substituting:
C = 4X4 = 16
R = 3x4 = 12
Ratio of stories to magazines: 4:3
There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.
28/4 = 7
So, now we can substitute it to solve the amount of magazines.
4 x 7 = 28
3 x 7 = 21
Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.
Can someone please help me please I really need help please help
Answer:
K'(4, -4)L'(8, -4)M'(8, 8)N'(4, 8)Step-by-step explanation:
Dilation centered at the origin multiplies every coordinate value by the scale factor.
K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)
L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)
M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)
N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)
Find the value of h in the triangle.
18.2 m
12 m
h
21.8 m
[ ? lm
Answer:
10 mStep-by-step explanation:
Area of ∆ = 1/2 * base* height
b= 12 m
h= 18.2 m
Area = 1/2*12*18.2
Considering,
base= 21.8 m
A= 1/2*21.8* h
[tex] \frac{1}{2} \times 12 \times 18.2 = \frac{1}{2} \times 21.8 \times h[/tex]
[tex]h = \frac{12 \times 18.2}{21.8} [/tex]
[tex]h = 10.018 \: m[/tex]
[tex]h = 10 \: m[/tex]Hope this helps...
Good luck on your assignment..
Answer:
40
Step-by-step explanation:
PLZ HELP!!! BRAINLIEST AND POINTS!!!
The answer is for this question is c
2(3x+2)+2(2x-1)
=10x+2
This is a polynomial
So the answer is c
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Answer:
If the amount of dough for a small pizza is S, for a large pizza is L and for a medium pizza is M, we have the equations:
M = (3/2)*S
L = (5/2)*S
L = M + S
First, we can convine the second and third equation and get:
(5/2)*S = M + S
and now we can replace M by the first equation:
(5/2)S = (3/2)*S + S = 5/2 S
so we have a trivial equation, S can be any number, this means that the system of equation is not well constructed.
For example, if S = 1Kg then:
M = (3/2)kg
L = (5/2)kg = (3/2)kg + 1 kg = 5/2kg
Answer:
The equation for a small pizza is, 3/2s + s = 5/2s.
Next, to combine like terms the equation is, 5/2s = 5/2s.
After that, for opposite operations you write, 5/2s - 5/2s = 0.
When you combine the like terms for the last equation, you come up with,
0 = 0.
The small sized pizza does not have a specific size and is no longer part of the equation. Its' size can be anything, and the other sized pizzas will equal their equation towards the small pizza, still representing their same value.
Step-by-step explanation:
cheese + sauce + dough + lots of meat + fire = happiness/pizza
(HopE ThIs HeLPs)
What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?
Explanation:
AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.
What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.
Answer:
AC=XZ
so the correct answer is D
It would take an hour for plane A to meet plane B. If the distance between them will be 200 miles in 45 minutes, how far are they now?
Answer: 125 miles
if you do the math you will get the same answer.
Answer:
800 miles
Step-by-step explanation:
what's the answer to
1067×6740
Answer:
(1067)(6740)
=7191580
Step-by-step explanation:
I hope this help you :)
If you need another thing just let me know.
Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
Answer:
y = 3x/2 − 5/2
Step-by-step explanation:
Triangle J K L is shown. Angle J K L is 120 degrees and angle K L J is 40 degrees. The length of K L is 2 and the length of J L is k. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction What is the approximate value of k? Use the law of sines to find the answer.
Answer:
[tex]k \approx 5$ units[/tex]
Step-by-step explanation:
In Triangle JKL
[tex]\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k[/tex]
We want to determine the approximate value of k using the law of sines.
[tex]\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ[/tex]
Using Law of Sines
[tex]\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\dfrac{k}{\sin 120} =\dfrac{2}{\sin 20} \\k=\sin 120 \times \dfrac{2}{\sin 20}\\k=5.06\\k \approx 5$ units[/tex]
Answer:
5.1
Step-by-step explanation:
Right on EDU
Hello does anybody know what the answer to this question is : 32² x 4 Will give brainliest :)
Answer:
4096
Step-by-step explanation:
used a calculator but u always do indicies first due to bidmas
Answer:
4096
Step-by-step explanation:
The little two on top of the 32 means squared or that we need to multiply 32 by itself.
So 32*32 equals 1024
Then we multiply it by 4 to give us 4096.
Relatively few (7.6%) high school students said that they rarely or never wore a seat belt, whereas 41.4% reported having texted or emailed while driving during the 30 days prior to taking the survey. What factors might account for this significant discrepancy, especially since texting while driving is arguably much riskier than not wearing a seat belt?
Answer:
Check Explanation
Step-by-step explanation:
The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.
Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.
These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.
Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.
The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.
Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.
In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.
Hope this Helps!!!
Maya is signing her daughter up for summer activities. Some of the activities cost $10, and some of them cost $20. Maya pays a total of $130 for 9 activities. How many of each activity did she sign her daughter up for?
Answer:
(5,4)
Step-by-step explanation:
10x + 20y = 130
x + y = 9
you can solve by substitution
x = 9 - y
10 (9 - y) + 20y = 130
90 - 10y + 20y = 130
90 + 10y = 130 (subtract 90 from both sides)
10y = 40
y = 4
Plug the answer back in the original equations to solve for x
x + 4 = 9 (subtract 4 from both sides)
x = 5
The number of activities that cost $10 is 4.
The number of activities that cost $20 is 5.
What are the linear equations that represent the question?
10a + 20b = 130 equation 1
a + b = 9 equation 2
Where:
a = number of activities that cost $10b = number of activities that cost $20What is the number of activities cost $20?Multiply equation 2 by 10
10a + 10b = 90 equation 3
Subtract equation 3 from equation 2
$10b = $40
b = $40 / $10
b = 4
What is the number of activities cost $10?Subtract 4 from 9: 9 - 4 = 5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
#SPJ2
Antonio invests 3000 at .10 interest compounded semianually for 12 years. Use the compound interest formula to calculate the compound amount for his investment
Answer:
A=9675.299
Step-by-step explanation:
A=p(1+r)^t
A compound amount
P is the principle amount invested
r : rate ( semiannually is 0.5 )
t=years ( semiannually 12*2=24)
A=3000(1+0.10/2)^24
A=9675.299
42. Carmen spends 5 minutes, correct to the nearest minute, preparing one meal. She spends a total time
of T minutes preparing 30 meals. Between what limits does lie?
[2]
Answer:
4.5 < T < 5.5
Step-by-step explanation:
Nearest 5 minutes could be 4.5 to 5.49
The computation of the limits in between is shown below:
Now Multiply these numbers by 30
4.5 × 30 = 135
5.4 × 30 = 162
5.5 × 30 = 165
We can easily round 5.5 would to 6, since we cannot use 5.5.
Therefore
135 < T < 162
Therefore If the correct answer is 135 < T < 165
So it must be 4.5 < T < 5.5
Which inequality is represented by the graph below?
Answer:
y ≤ -1/5x +1
Step-by-step explanation:
The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by
y = -1/5x +1
The indicated area in graph is below the line, so now you have enough to get the right inequality:
y ≤ -1/5x +1
What’s an constant in numbers
Answer:
Always the same variable.
Step-by-step explanation:
When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.
Answer:
Step-by-step explanation:
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.