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Factor the trinomial below.
x^2+4x-12
Answer:
(x+6)(x-2)
Step-by-step explanation:
using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2
Answer:
(x+6)(x-2) A P E X :)
What classical Euler angle sequence yields the same DCM as the yaw, pitch, and roll sequenceα = 300°, β = −80°, γ = 30°?
The classical Euler angle sequence that yields the same DCM as the yaw, pitch, and roll sequence α = 300°, β = −80°, γ = 30° is the 3-2-1 sequence.
Step-by-step explanation:
1. First, we need to convert the given angles from degrees to radians. We can do this by multiplying each angle by π/180°.
α = 300° × π/180° = 5π/3 rad
β = −80° × π/180° = −4π/9 rad
γ = 30° × π/180° = π/6 rad
2. Next, we need to find the DCM for the yaw, pitch, and roll sequence. The DCM for a 3-2-1 sequence is given by the following formula:
DCM = Rz(α)Ry(β)Rx(γ)
where Rz(α), Ry(β), and Rx(γ) are the rotation matrices about the z, y, and x axes, respectively.
3. We can find the rotation matrices by plugging in the values of α, β, and γ into the following formulas:
Rz(α) = [cos(α) −sin(α) 0; sin(α) cos(α) 0; 0 0 1]
Ry(β) = [cos(β) 0 sin(β); 0 1 0; −sin(β) 0 cos(β)]
Rx(γ) = [1 0 0; 0 cos(γ) −sin(γ); 0 sin(γ) cos(γ)]
4. Finally, we can multiply the rotation matrices together to find the DCM:
DCM = Rz(α)Ry(β)Rx(γ) = [cos(α)cos(β) cos(α)sin(β)sin(γ)−sin(α)cos(γ) cos(α)sin(β)cos(γ)+sin(α)sin(γ); sin(α)cos(β) sin(α)sin(β)sin(γ)+cos(α)cos(γ) sin(α)sin(β)cos(γ)−cos(α)sin(γ); −sin(β) cos(β)sin(γ) cos(β)cos(γ)]
5. Plugging in the values of α, β, and γ into the DCM formula, we get:
DCM = [0.6124 −0.3536 −0.7071; 0.5 0.866 0; 0.6124 −0.3536 0.7071]
Therefore, the classical Euler angle sequence that yields the same DCM as the yaw, pitch, and roll sequence α = 300°, β = −80°, γ = 30° is the 3-2-1 sequence.
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make a dot of the data 89,98,73,74,73,99,98,85,83,83,73,74,74,85,99,99a garden plot constrains 3 zinnias, 7 glodiolas, 16 marigolds, 20 hollyhocks, and 23 lilies
Sara drives 185 miles in 3 hours. If she
keeps a constant speed, how far did she
travel in 7 hours?
(Answer in decimal form to the hundredths place.)
Simple question
please help me solve this
Answer:
290 m³
Step-by-step explanation:
Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.
Volume of rectangular prism = width (w) × height (h) × length (l)
==>The prism on top has:
l = 3m
w = 8-3 = 5m
h = 6m
Volume (V1) = 3*5*6 = 90m³
==>The prism beneath has:
l = 8m
w = 5m
h = 5m
Volume (V2) = 8*5*5 = 200m³
Volume of the composite figure = V1 + V2 = 90+200 = 290 m³
SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG
Answer:
The answer is less than one
Step-by-step explanation:
Because 1/2= less than 3
1 1/2= 3 and is less than 9
2 1/2= 5 not 15
a researcher selects a sample and administers a treatment to the individuals in the sample. if the sample is used for a hypothesis test, what does the null hypothesis say about the treatment? group of answer choices the treatment causes a change in the scores. the treatment adds a constant to each score. the treatment multiplies each score by a constant. the treatment has no effect on the scores.
Among the given answer choices, the correct statement is: The null hypothesis says that the treatment has no effect on the scores.
In statistics, the null hypothesis is a statement or assumption that is tested to determine its validity or to compare it with an alternative hypothesis. It represents the absence of a particular effect, relationship, or difference in a population or sample.
The null hypothesis is typically denoted as H0 and is formulated based on the assumption that there is no significant or meaningful difference or relationship between variables or factors of interest.
The null hypothesis is constructed in such a way that it represents a state of no effect, no change, or no difference. It assumes that any observed variation or relationship in the data is due to random chance or sampling error. The goal of hypothesis testing is to gather evidence from the data to either reject the null hypothesis in favor of an alternative hypothesis or fail to reject the null hypothesis.
The null hypothesis, in the context of a hypothesis test, states that the treatment has no effect on the scores or the variables being measured. It assumes that any observed differences or changes in the sample data are due to random chance or other factors unrelated to the treatment. The null hypothesis essentially assumes that there is no relationship or difference between the treatment and the outcome being measured.
Therefore, among the given answer choices, the correct statement is:
The null hypothesis says that the treatment has no effect on the scores.
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Someone pls explain this to me I’ll give brainliest,, Find the area of this circle. Use 3 for a.
A = ar2
14 in
[?] in2
Answer:
A = 588 in^2
Step-by-step explanation:
"a" is actually the sign for Pi, which is a set ratio of 3.14159.
The instructions say to use just 3 for Pi in this question though.
A = (3)14^2)
A = (3)(14)(14)
A = 588 in^2
Rewrite each fraction with a denominator of 24. 2/3 and 5/8
Answer:
2/3 of 24 is 16/24
5/8 of 24 is 15/24
Step-by-step explanation:
if you multiply across 2/3 by 8/8 it equal to 16/24
if you multiply across 5/8 by 3/3 it equal to 15/24
Answer:
16/24 and 15/24
Step-by-step explanation:
To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.
Write a sentence for each formula. Then interpret the situation. equation in the context of the situation
I NEED HELP
The formula for the volume of a
volume, cylinder is V= Trh, where Vis the r is the length of the radius of the base, and h is the height of the cylinder.
It should be noted that the formula for the volume of a cylinder is V= Tr²h.
How to illustrate the information?Based on the information, should be noted that the formula for the volume of a cylinder is V= Tr²h.
where r = radius
h = height
For example, let's assume that a cylinder has a radius of 7cm and height of 5cm. It should be noted that the volume will be illustrated as:
Volume = πr²h
Volume = π × 7² × 5
Volume = 245π
Therefore the volume of the cylinder will be 245π.
In conclusion, it should be noted that the formula for the volume of a cylinder is V= Tr²h.
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Evan measured a house and made a scale drawing. The scale of the drawing was 3 centimeters = 7 meters. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.
Let f (x) = x^2 - 2bx where b is a constant. What can you say about the zeros, y-intercept, axis and symmetry and extreme value of f(x) in terms of b? Justify your answers
Answer:
(F)^4-6
Step-by-step explanation:
Answer:
(F)^4-6
Step-by-step explanation:
Alan wants to pour 90.26 grams of salt into a container. So far, he has poured 65.1 grams. How much more salt should Alan pour?
Answer:
25.16 grams
Step-by-step explanation:
Amount Alan should pour more = Amount he wants to pour - amount he has poured
90.26 - 65.10 = 25.16 grams
I need help with this ASAP!
Answer:
0,10
9,7
10,6
3,10
7,8
1,4
10,8
0,3
0,5
7,6
Step-by-step explanation:
Which point on the number line best represents the approximate vault of /23
P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.
Answer: 80 is the number of cupcakes for which the profit is equal to 0
Step-by-step explanation:
The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
What is Profit?Profit is the amount which we earned after selling something at a price more than its cost price.
We have,
P(q) = -0.01 (q - 250) (q- 80)
Where,
P(q) = profit earned by a cupcake bakery in dollars
q = cupcakes produced
So,
Now,
We have to find out the context of 80 in given equation,
So,
Lets substitute q = 80, in the given equation,
i.e.
P(q) = -0.01 (q - 250) (q- 80)
⇒
P(80) = -0.01 (80 - 250) (80- 80)
We get,
P(80) = -0.01 (- 170) (0)
i.e.
P(80) = 0
So, 80 is a number of cupcakes for which the profit is equal to $0.
Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
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Rochelle wants to determine the favorite food among her family members at a reunion.
Which sampling method would most likely provide a representative sample of the family members?
A.Divide the female family members at the reunion into age groups of equal size, and survey four female family members chosen randomly from each age group.
B.Divide all the family members at the reunion into age groups of equal size, and survey three family members were chosen randomly from each age group.
C. Survey all the family members at the reunion who are under 10 years old.
D.Survey all the family members at the reunion who are over 60 years old.
pls do the table in the picture
Step-by-step explanation:
(a-b)+ccase 1 a=0.5 , b=2 , c=-1
(0.5-2)-1 = -1.5 - 1
= -2
case 2 a=3 , b=-4 , c=-2
(3+4) -2 = 7 - 2
= 5
case 3 a=-8 , b=5 , c=3
(-8+5)+3 = -3+3
= 0
-(a-b)-ccase 1 a=0.5 , b=2 , c=-1
-(0.5-2)+1 = -(-1.5)+1
= +1.5 + 1
= 2.5
case 2 a=3 , b=-4 ,c=-2-(3+4)+2 = -(7) +2
= -5
case 3 a=-8 , b=5 , c=3
-(-8-5) -3 = -(-13) -3
= +13 -3
= 10
3. Given: BAM is a right angle. If mBAM=4x+2, then solve for the value of x.
Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
Un determinado día, Ana ha pagado 3,6 € por 3 dólares, y Alvaro ha pagado 8,4 € por 7
dólares. A Halla la ecuación de la recta que nos da el precio en euros, y, de x dólares
La ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x. Y el precio en euros de 10 dólares es de 12 €.
La ecuación de la recta que nos da el precio en euros, y, de x dólares se puede hallar utilizando la fórmula de la pendiente de una recta, que es m = (y2 - y1) / (x2 - x1). En este caso, los puntos dados son (3, 3.6) y (7, 8.4).
Primero, calculamos la pendiente de la recta:
m = (8.4 - 3.6) / (7 - 3)
m = 4.8 / 4
m = 1.2
Luego, utilizamos la fórmula de la ecuación de la recta, y = mx + b, para encontrar el valor de b. Podemos utilizar cualquiera de los puntos dados para esto. Usaremos el punto (3, 3.6).
3.6 = 1.2(3) + b
3.6 = 3.6 + b
b = 0
Por lo tanto, la ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x.
Esta ecuación nos da el precio en euros, y, de x dólares. Si queremos encontrar el precio en euros de una cierta cantidad de dólares, simplemente sustituimos el valor de x en la ecuación y resolvemos para y. Por ejemplo, si queremos encontrar el precio en euros de 10 dólares, sustituimos x = 10 en la ecuación:
y = 1.2(10) = 12
Por lo tanto, el precio en euros de 10 dólares es de 12 €.
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farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:3.92
Step-by-step explanation:
find 1/5 of 9.8kg
=1.96kg
3/5 of pears = 1.96*3=5.88kg
apples= 2/5 so 1.96*2=3.92kg
OR 9.8-5.88=3.92kg
Answer:
3.92kg of Apples
Step-by-step explanation:
The size of Pears weight is 3/5 of 9.8kg...
=3/5 * 9.8
=3 * 9.8/5
=29.4/5
=5.88kg
Thus, the size of the Apples will be 9.8kg - 5.88kg
= 3.92kg.
Thus, the farmer sold 3.92kg of Apples at the farmer's market.
(Pre-cal polynomial functions) When I'm finding the zeros of x^4 + 2x^2 - 3, how do I know when to implement imaginary numbers for the answer? ( +- [root3] vs. +- i[root3] ).
Given:
\(x^4+2x^2-3=0\)We will find the zeros of the function:
Factor the given function:
\(\begin{gathered} (x^2+3)(x^2-1)=0 \\ x^2-1=0\rightarrow x^2=1\rightarrow x=\pm1 \\ x^2+3=0\rightarrow x^2=-3\rightarrow x=\pm i\sqrt[]{3} \end{gathered}\)So, there are four zeros
So, the answer will be:
\(x=\mleft\lbrace-1,1,i\sqrt[]{3},-i\sqrt[]{3}\mright\rbrace\)PLEASE HELP, DUE SOON, TY!!:)
Solve for MN.
A)21
B)9
C)6
D)4
C) 6
Solution: 6.
Because the segments in the triangle are parallel, we can set up a proportion to solve for MN.
\(\frac{4}{10}=\frac{x}{15}\)
What is 1/2 times 8..............
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
if it was normally 1, it would still be 8, but ur multiplying by 1/2, so it would be 4
50 points and brainiest PLS DO MY HOMEWORK BY THURSDAY FEBRUARY 2ND
The 3 stages representing the hierarchy of fluency progression including Automaticity, are embedded into which strand of the B.E.S.T. mathematics standards
The three stages that have to do with fluency, progression and automaticity are found in the Number Sense and Operations .
What is the number sense and operation strand of mathematics?This is the part of mathematics that is known to teach the student basic ways to carry out number operations in mathematics. This has to do with representation of numbers as well as solving for the existing relationships in these numbers.
Having a sense of numbers is a very important ability skill that has to be developed early is students to enable them progress in the subject.
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the sum of two numbers is 38 and their difference is 10 find the numbers
Answer:
I believe the two numbers are 14 and 24
Answer:
Those numbers are 14 and 24.
Step-by-step explanation:
You can solve this pretty quickly by taking those two facts and combining them:
a + b = 38
a - b = 10
Let's solve the second one for a:
a = 10 + b
Now we can substitute that into the first one:
a + b = 38
(10 + b) + b = 38
2b + 10 = 38
2b = 28
b = 14
To find a, we can plug that back into one of the original equations:
a + b = 38
a + 14 = 38
a = 24
We can also test our answer by plugging the results into the other given equation and see if we get the same value:
a - b = 10
24 - 14 = 10
10 = 10
So we know our answer is correct.
please help mee
△ABC was transformed using two rigid transformations.
a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results.
b. Explain why the results are true.
A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other.
A a. How do you think you can prove the two triangles are congruent without using rigid transformations?
b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?
Note: Be sure to number your responses for each question, like this: 1a, 1b, 2a, 2b.
The corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"How to compare the sidesThe statement is given as:
△ABC was transformed using two rigid transformations.
The rigid transformations imply that:
The images of the triangle after the transformation would be equal
So, the corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"Why the results are true?The results are true because rigid transformations do not change the side lengths and the angle measures of a shape
How to prove that two triangles are congruent without using rigid transformations?To do this, we simply make use any of the following congruent theorems:
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle SideHow to respond to this classmate?The classmate's claim is that
Only two pairs of corresponding parts are enough to prove the congruent triangle
The above is true because of the following congruent theorems:
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Calculate the mean and mean absolute deviation of these two data sets and use that to compare the two sets of data.
Set A: 4,6,7,8,5,6
Set B: 5,7,4,8,9,9
Find the next two numbers in the pattern. -800, 400, -200, 100, ...
Answer:
-50,25 is the answer
Step-by-step explanation:
........................