[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: (3 {a}^{2} {b}^{4} )( - 8a {b}^{3} )[/tex]
[tex]\qquad \sf \dashrightarrow \: (3 \times - 8)( {a}^{2} \times a)(b {}^{4} \times {b}^{3} )[/tex]
[tex]\qquad \sf \dashrightarrow \: - 24( {a}^{3} )( {b}^{7} )[/tex]
[tex]\qquad \sf \dashrightarrow \: - 24 {a}^{3} {b}^{7} [/tex]
So, The Correct choice is D
Find the value of x.
PLEASE HELP ME!!!!!!
Answer:
34 degrees
Step-by-step explanation:
sin(x) = opp/hyp = 9/16
So, x = 34.22 degrees
After rounding to the nearest degree, x = 34 degrees
complete the calculation so that each shows the correct sum 1.036 +blank =4
Answer:
-2.964
Step-by-step explanation:
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)?
Answer:
2x+4 or 2(x+2)
Step-by-step explanation:
I'm not very confident that I can give you a clear explanation while typing, but you can factor the equation which is one way how to do this.
2x^2 + 10x+12 = 2(x^2+5x+6)
= 2(x(x+3) + 2(x+3))
= 2(x+3)(x+2)
With that answer, you divide it by x+3 and get 2(x+2) or 2x+4
180 are given a line that has a slope of 4 and passes through the point ở 2). Which statements about the equation
of the line are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y - 4x-1
The point slope equation is -
43-
The Point ( ) corresponds to (x, y) in the point-stope form of the equation.
Answer:
we can do it again and again and again and again and again and again and again and again and again on Monday morning baby I'm a fan for the rest are the only way we do to help me to get to see this
given the following zeros, find the polynomial function x=0, x=1, x=6
(
x
)
=
x
3
+
2
x
2
−
3
x
Explanation:
given zeros
x
=
−
3
,
x
=
0
,
x
=
1
then factors are
(
x
+
3
)
,
(
x
−
0
)
,
(
x
−
1
)
⇒
f
(
x
)
=
x
(
x
+
3
)
(
x
−
1
)
⇒
f
(
x
)
=
x
(
x
2
+
2
x
−
3
)
⇒
f
(
x
)
=
x
3
+
2
x
2
−
3
x
is a possible function
graph{x^3+2x^2-3x [-10, 10, -5, 5]}
-2/5 divided by -2/3?
Answer:
-3/5
Step-by-step explanation:
I used the KCF, or keep, change, flip, method for this.
The original problem is -2/5 divided by -2/3
We keep the first fraction - -2/5
change the sign to multiplication
and flip the second fraction - 3/2
so, -2/5 x 3/2
and then check for where we can simplify, we can in this instance:
-1/5 x 3/1
and then multiply across
-3/5
i need help please thanks
Answer:
pick all 3 of the bottom row
which of the following has a unit rate of 2.5 meters per second
a: 4 meters in 10 seconds
b: 10 meters in 4 seconds
c: 7.5 meters in 3 seconds
d: 5 meters in 2 seconds
Answer:
All of them except A
B: 10 meters in 4 seconds
C: 7.5 meters in 3 seconds
D: 5 meters in 2 seconds
Step-by-step explanation:
divided the number meters by the number seconds to get meters per second
If 2tanB+cotB=tanA,then proved that 2tan(A-B)=cotB
Answer:
it is so hard it's optional math bro I tried much
Step-by-step explanation:
hope others can give answers
Solve this System of Equations Algebraically
2x + 5y = -13
3x - 4y = -8
Answer Options :
( 4,1 )
( -4,1)
(4,-1)
(-4,-1)
Answer:
{x,y}={-4,-1}
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y - 8
[2] x = 4y/3 - 8/3
// Plug this in for variable x in equation [1]
[1] 2•(4y/3-8/3) + 5y = -13
[1] 23y/3 = -23/3
[1] 23y = -23
// Solve equation [1] for the variable y
[1] 23y = - 23
[1] y = - 1
// By now we know this much :
x = 4y/3-8/3
y = -1
// Use the y value to solve for x
x = (4/3)(-1)-8/3 = -4
Solution :
{x,y} = {-4,-1}
pls help asap i need an anwser
Answer:
7.21 units
Step-by-step explanation:
Given points are: (-6, 6) and (-10, 0)
[tex]distance = \sqrt{ {( - 6 + 10)}^{2} + {(6 - 0)}^{2} } \\ \\ = \sqrt{ {(4)}^{2} + {(6)}^{2} } \\ \\ = \sqrt{ 16 + 36 } \\ \\ = \sqrt{ 52 } \\ \\ = 7.21 \: units[/tex]
To decrease your household water usage by 10% a month means that a household using 4000 gallons of water a month would cut down to using
A blank gallons a month.
Olivia is making scarves. Each scarf will have 3 rectangles, and
2/3
of the rectangles will be purple.
How many purple rectangles does she need for 2 scarves?
Olivia needs
purple rectangles.
938 divided by 7, pls give the solution too
Answer:
134
Step-by-step explanation:
938÷7=134
How many weeks are in 1200 hours?
Enter your answer as a mixed number in simplest form in the box.
Please hurry! TEN COINS!!!
Answer:
7 1/7
Step-by-step explanation:
24 hours = 1 day
7 days = 1 week
⇒ number of hours in 1 week = 24 x 7 = 168
⇒ number of weeks in 1200 hrs = 1200 ÷ 168 = 7 1/7
I need some help with this monomial....
15a^16b^11/(3a^4b^2)^3
Answer:
[tex]\frac{5a^4b^5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{15a^1^6b^1^1}{(3a^4b^2)^3}[/tex]
[tex]=\frac{15a^1^6b^1^1}{27a^1^2b^6}[/tex]
[tex]=\frac{15a^4b^5}{27}[/tex]
[tex]=\frac{5a^4b^5}{9}[/tex]
Answer = [tex]=\frac{5a^4b^5}{9}[/tex]
Barry and Kerrie are discussing their pets
during a poker game. Barry tells Kerrie that
he has at least one dog at home. When Kerrie asks what breed, he answers
cryptically: "If I have a Labrador but not a
Staffie, I also have a Collie. I either have
both a Collie and a Staffie or neither. If I
have a Collie, then I also have a Labrador. "
What breed or breeds does Barry have at
home?
Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
What is logical reasoning ?Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.
Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:
Statement 1: If I have a Labrador but not a Staffie, I also have a Collie
Statement 2: I either have both a Collie and a Staffie or neither.
Statement 3: If I have a Collie, then I also have a Labrador.
From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie. From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.From Statement 3, Barry must have a Labrador if I he has a Collie.Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
Learn more about logical reasoning at: https://brainly.com/question/25175983
expand the expression below to find the values of capatilised pronumerals
PLS HELP :))
»(4x - 2y)(3x + 5y)
»4x(3x + 5y) + (-2y)(3x + 5y)
»12x² + 15xy - 6xy - 10y²
»12x² + 9xy - 10y²
so, ABC is :
A = 12✅B = 9✅C = -10✅The circumference of a hula hoop is 86\pi \text{ cm}86π cm86, pi, start text, space, c, m, end text.
What is the radius of the hula hoop?
Answer:
43 cm!
Step-by-step explanation:
First, C = 86π
So, 86 × 3.14 (which is π) = 270.04
270 ÷ 3.14 = 86
86 ÷ 2 = 43
i hope this helps :)
The speed of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function y = 14t2. A second train that is 1,400 feet ahead of the first train is traveling at a constant speed of 96 feet per second and can be modeled by the function y = 96t + 1400. Solve the system of equations. Which solution represents a viable time that the trains are side by side?
Taking into account the definition of a system of linear equations, the solution t=14 represents a viable time that the trains are side by side.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Calculation of time in this caseThe system of equations to be solved is
[tex]\left \{ {{y=14t^{2} } \atop {y=96t+1400}} \right.[/tex]
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the first equation in the second you get:
14t²= 96t +1400
Solving:
14t²- 96t -1400= 0
Being this a quadratic function of the form ax² + by +c, then it can be solved by: [tex]x1,x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
In this case, being a=14, b=-96 and c=-1400, the equation is solved by:
[tex]t1=\frac{-(-96)+\sqrt{(-96)^{2} -4x14x(-1400)} }{2x14}[/tex]
[tex]t1=\frac{96+\sqrt{9216 +78400} }{28}[/tex]
[tex]t1=\frac{96+\sqrt{87616} }{28}[/tex]
[tex]t1=\frac{96+296}{28}[/tex]
[tex]t1=\frac{392}{28}[/tex]
t1=14
and
[tex]t2=\frac{-(-96)-\sqrt{(-96)^{2} -4x14x(-1400)} }{2x14}[/tex]
[tex]t2=\frac{96-\sqrt{9216 +78400} }{28}[/tex]
[tex]t2=\frac{96-\sqrt{87616} }{28}[/tex]
[tex]t2=\frac{96-296}{28}[/tex]
[tex]t2=\frac{-200}{28}[/tex]
t2= -7.14
Since time cannot be a negative value, the solution t=14 represents a viable time that the trains are side by side.
Learn more about system of equations:
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If X represents height and Y represents wingspan the slope represents the relationship between the wingspan and arm span what is the y-intercept represent?
Answer:
y-intercept mean the line going through
Step-by-step explanation:
it means the line going threw
Given a = 7.6, A = 50 degrees, and b = 4.3, use the Law of Sines to solve for B. Round
your answer to the nearest degree, and enter the number only. Note: The figure is
not drawn to scale.
Answer:
we need the figure, where is it
Swedish researchers investigated the relationship between chocolate consumption and stroke. the researchers gave a questionnaire about eating habits to a randomly selected sample of swedish men. based on the responses to the questionnaire, the men were classified into two groups. group a consisted of the 9,250 men who ate the most chocolate per week, and group b consisted of the 9,250 men who ate the least chocolate per week. the researchers tracked the men's health for ten years. during that time, there were 458 cases of stroke among the men in group a and 543 cases of stroke among the men in group
A. Do the data provide convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B?
B. A report in a newspaper concluded that Swedish men can reduce their probability of stroke by eating more chocolate. Based on the description of the investigation was the conclusion appropriate? Justify your answer
Using the z-distribution, as we are working with a proportion, it is found that:
A. Yes, the data provides convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B.
B. Considering that the data provides statistical evidence, the conclusion was appropriate.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportions are the same, that is:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested proportion A is less than proportion B, that is:
[tex]H_1: p_A - p_B < 0[/tex]
What is the mean and the standard error for the distribution of difference of proportions?For each sample, they are given by:
[tex]p_A = \frac{458}{9250} = 0.0495, s_A = \sqrt{\frac{0.0495(0.9505)}{9250}} = 0.0023[/tex]
[tex]p_B = \frac{543}{9250} = 0.0587, s_B = \sqrt{\frac{0.0587(0.9413)}{9250}} = 0.0024[/tex]
Hence, for the distribution of differences, we have that:
[tex]\overline{p} = p_A - p_B = 0.0495 - 0.0587 = -0.0092[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0023^2 + 0.0024^2} = 0.0033[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{-0.0092 - 0}{0.0033}[/tex]
[tex]z = -2.77[/tex]
Item a:
Considering a left-tailed test, as we are testing if the proportion is less than a value, with the standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value, it is found that yes, the data provides convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B.
Item b:
Considering that the data provides statistical evidence, the conclusion was appropriate.
More can be learned about the z-distribution at https://brainly.com/question/26454209
Please help meeeee!!
Answer:
A parallelogram is a four sided shape, so this means that the total sum of interior angles is equal to 360 degrees.
It also has two sets of matching angles, therfore if it says one is 155 degrees it must have one more that is also 155 degrees.
This means 2 x 155= 310, 360 - 310 = 50 degrees remaining. This 50 degrees would be shared between the remaining two angles as they must be a matching pair also. 50 / 2=25.
This parallelogram has two angles of 155 and two of 25. Degrees.
f(x)=-5x+1x=−5x+1, find f(6)
Answer:
f(x)=-5x+1x=−5x+1, find f(6)
f(6)= -5(6)+1(6)=-5(6)+1
F(6)=-24,-29
how would i do this? :')
Step-by-step explanation:
sin 2b = -.5
2b =-30°
b = -15°
cot ^2(3π/4 +15)
=cot^2(3π/4+ π/12)
=cot ^2(10π/12)
=cot^2(150°)
=2.99
HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION FOR ME I WILL MARK YOU THE BRAINLIEST AND I WILL GIVE YOU 5 STARS
Answer:
y=x-1
Step-by-step explanation:
Do the math. Just plug in x and y trust me it’s easy
Answer: y= x-1
Step-by-step explanation: y is always x minus 1 because -4 is one less than -3, 1 is one less than 2, and 4 is one less than 5.
What is an equation that represents the linear
function described by the data in Item 5?
Please help:((
The equation that represents the linear function is y = 2x.
Linear equationA linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let us assume that from the table, we get the data with points (0, 0) and (2, 4). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{4-0}{2-0} (x-0)\\\\y=2x[/tex]
The equation that represents the linear function is y = 2x.
Find out more on Linear equation at: https://brainly.com/question/13763238
Answer:
Step-by-step explanation:
answer is -10
Y'all know the drill (classify each triangle. Write acute, right, or obtuse) look at pic
Answer:
It is Right angle triangle.
Also it shows 90 degree angle at E.
I think it will help you.
Select the equation of the line that passes through the point (-2,3) and is perpendicular to the line on the graph.
O y = -2
O y = 0
O y = 3
O y = 3x