Answer:
[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]
Step-by-step explanation:
Let us assume the trinomial of the form [tex]x^2+bx+c[/tex]
[tex]x^2+5x+6[/tex]
Break the expression into the groups
[tex]=\left(x^2+2x\right)+\left(3x+6\right)[/tex]
Factor out 'x' from [tex]x^2+2x[/tex]
i.e.
[tex]\:x^2+2x=x\left(x+2\right)[/tex]
Factor out '3' from 3x+6
i.e.
3x+6 = 3(x+2)
so the expression becomes
[tex]\:x^2+2x=x\left(x+2\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]
[tex]=\left(x+2\right)\left(x+3\right)[/tex]
Hence,
[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]
Ms. Swanson asked the question how does knowing the fact 6x5 help you find 60x500? can someone help me my teacher wrote this
Answer:
YOU DID THAT TEST? samee
Step-by-step explanation:
A bag contains 5 RED beads, 3 BLUE beads, and 4 GREEN beads. If a single bead is picked at random, what is the probability
Answer:
total number of beads :-
5+3+4=12
probability is :-
number of times a specific outcome has occurred
total number of possible outcomes
red beads - 5/12
blue beads - 3/12
green beads - 4/12
the above given fractions are the probabilities of each color bead.
Step-by-step explanation:
hope this helps, if yes please can u give me a brainly?
i would really apreciate it...
have a great day ahead :)
PLEASEEEE HELPPP MEEE
6 and 7 PLEASE
Answer:
Question 6
[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]
Question 7
The width is 2x.
Step-by-step explanation:
Question 6)
Expand
[tex](5a+2)(a+4)[/tex]
solving to the expand
[tex](5a+2)(a+4)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex][tex]a=5a,\:b=2,\:c=a,\:d=4[/tex]
so the expression becomes
[tex]=5aa+5a\cdot \:4+2a+2\cdot \:4[/tex]
[tex]=5aa+5\cdot \:4a+2a+2\cdot \:4[/tex]
[tex]=5a^2+20a+2a+8[/tex]
adding similar elements: 20a+2a=22a
[tex]=5a^2+22a+8[/tex]
Hence,
[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]
Question 7)
Given
[tex]A\:=\:8x^2[/tex][tex]l=4x[/tex]Using the formula
width = Area/Length
[tex]=\:\frac{8x^2}{4x}[/tex]
[tex]=2x[/tex] ∵ [tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]
Therefore, the width is 2x.
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.
Enter your answer in the box.
miles
Answer:
-2 or -5
Step-by-step explanation:
( shown in photo below )
Veronica take 1/3 of an hour to write 1/4 of a page of calligrahpy how long will it take Veronica to write one page
Answer:
b because it takes 1 hour to complete 3/4 of a page so 3/3 = 1 hour 1 1/3 =1 and a third of an hour
Step-by-step explanation:
The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, what is the probability our average would be more than 83.7?
Answer:
0.0066
Step-by-step explanation:
Given that:
Mean [tex]\mu[/tex] = 75
Variance [tex]\sigma^2 =961[/tex]
The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]
The sample size n = 100
[tex]\mu = \mu_{\overline x} = 75[/tex]
[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]
[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]
[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]
[tex]\sigma _{\overline x} = 3.1[/tex]
[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]
[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]
[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]
[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]
Using the Z table;
P(x > 83.7) = 1 - 0.9934
P(x > 83.7) = 0.0066
Thus, probability = 0.0066
What is 3250 divided by 1/2
Answer:
6500
Step-by-step explanation:
KCF
3250/1 ÷ 1/2
3250/1 x 2/1
3250 x 2= 6500
1 x 1 = 1
final answer 6500/1 or 6500
There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?
Answer 1:4
How does carbon move from plants to animals?
Group of answer choices
Photosynthesis
Decomposition
Ingestion (eating)
Respiration
Answer:
Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.
Step-by-step explanation:
Answer:
Photosynthesis
Step-by-step explanation:
Annalise withdraws $20.50 each day from her account for a week. how can you represent the change in the account for the week
Answer:
you can get some fries and chickent aint enough for me keep it going people
Step-by-step explanation:
Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Find the value of the test statistic,
Round to two decimal places as needed
Answer:
- 6.547
Step-by-step explanation:
Given that:
Sample size (n) = 1207
p = 0.85
p0 = 0.92
The test statistic :
Z = (p - p0) / √(p0(1 - p0) / n)
Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)
Z = - 0.07 / √(0.92(0.15) / 1207)
Z = - 0.07 / √0.0001143
Z = - 0.07 / 0.0106926
Z = - 6.5465446
Z = - 6.547
Helpp meee!?!!!!!
?!!?!
!?!
Answer:
You have to draw we cant draw 4 you sorry i cant help
Step-by-step explanation:
i am less than 10, i am a multiple of 2, i am a composite.
Answer:
8
Step-by-step explanation:
Urn 1 contains 4 green and 5 yellow marbles. Urn 2 contains 7 green and 4 yellow marbles. An experiment consists of choosing one of two urns at random then drawing a marble from the chosen urn. Urn 1 is more likely to be chosen than Urn 2 with probability 0.63.
Required:
a. What is the probability that a green marble was chosen?
b. What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
c. What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?
Answer:
a
[tex]P(N_g) = 0.5155[/tex]
b
[tex]P(K ) = 0.36364[/tex]
c
[tex]P(U1 | N_y ) = 0.7223[/tex]
Step-by-step explanation:
From the question we are told that
The number of green marbles in Urn 1 is [tex]N_g = 4[/tex]
The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]
The number of green marbles in Urn 2 is [tex]n_g = 7[/tex]
The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]
The probability of choosing Urn 1 is [tex]P(U1) = 0.63[/tex]
The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]
Generally the total marble in Urn 1 is
[tex]N_t = N_g +N_y[/tex]
=> [tex]N_t = 4 + 5[/tex]
=> [tex]N_t = 9[/tex]
Generally the total marble in Urn 2 is
[tex]n_t = n_g +n_y[/tex]
=> [tex]n_t = 7+4[/tex]
=> [tex]n_t = 11[/tex]
Generally the probability of choosing green marble is
[tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]
=> [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]
=> [tex]P(N_g) = 0.5155[/tex]
Generally the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as
[tex]P(K ) = \frac{n_y}{n_t}[/tex]
=> [tex]P(K ) = \frac{4}{11}[/tex]
=> [tex]P(K ) = 0.36364[/tex]
Generally the probability of choosing yellow marble is
[tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]
=> [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]
=> [tex]P(N_y) = 0.4845[/tex]
Generally the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as
[tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]
=> [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]
=> [tex]P(U1 | N_y ) = 0.7223[/tex]
solve this question step by step
Answer:
BE = 49
Step-by-step explanation:
In triangle BDC
65^2=56^2+BD^2
65^2-56^2=BD^2
4225-3136=BD^2
1089=BD^2
33=BD
In triangle FDE
65^2=63^2+DE^2
4225-3969=DE^2
256 = DE^2
16=DE
since ED+DB=BE
THEREFORE
16+33=BE
49=BE
Find the value of x.
Find the value of y.
Y
61
X
Answer:
61=x ( vertical opposite angle)
61=y (corresponding angle)
Step-by-step explanation:
y = 61°( corresponding angles)
x = y = 61°(vertically opposite angles)
Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
Answer:
The new line will be parallel to the line represented by y =2x +2
The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
3 = 2 * (-1) + b
3= -2 + b
b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be: y = 2x + 5
(Hope it can help)
Answer:
y=2x+5
Step-by-step explanation:
hope you understood
A hot air balloon is rising at a speed of 100 m/min. If an observer is standing 200 m from the lift-off point, what is the rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high?
Answer:
dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)
dy/dt = 0 + 1.6
dy/dt = 1.6 mi/min
Step-by-step explanation:
We need to find out values for all of the variables:
The observer is not moving, therefore dx/dt = 0.
The observer is standing 4 miles away from the lift-off point, so x = 4.
The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.
The rate of change for the angle, dθ/dt, is 0.1.
Let θ be the angle of elevation of the line of sight from the horizontal. Since the hot air balloon is rising at a speed of 100 m/min, its vertical distance in time, t is d = vt = 100t.
Since the point of the observer is 200 m away( the horizontal distance), then tanθ = vertical rise/horizontal distance = 100t/200 = t/2
tanθ = t/2
To find the rate of change of the angle of elevation, we differentiate with respect to t.
So, dtanθ/dt = d(t/2)/dt
sec²θdθ/dt = 1/2
dθ/dt = 1/(2sec²θ)
At 600 m high, tanθ = vertical rise/horizontal distance = 600 m/200 m = 3
Given that tan²θ + 1 = sec²θ
dθ/dt = 1/(2sec²θ)
dθ/dt = 1/(2[tan²θ + 1])
Since tanθ = 3
dθ/dt = 1/(2[tan²θ + 1])
dθ/dt = 1/(2[3² + 1])
dθ/dt = 1/(2[9 + 1])
dθ/dt = 1/(2[10])
dθ/dt = 1/20
dθ/dt = 0.05 rad/min
So, the rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high is 0.05 rad/min.Learn more about rate of change of angle of elevation here:
https://brainly.com/question/13932041
What postulate proves the two triangles are congruent?
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent
Step-by-step explanation:
I'm not sure the answer
AB×6=BBB (playing with numbers.)
Answer:
A = 7
B = 4
Step-by-step explanation:
If u wanna know how i got this answer plz look at the comments below since it will delete my answer U-U
5x-7=5x bud it no solution one solution infinitely many solutions
Answer:
When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.
Step-by-step explanation:
Answer please here is a picture:
Answer:
Step-by-step explanation:
No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.
Answer:
no
Step-by-step explanation:
because 3/4 equals to 0.75 or 75%
1/4 = 0.25 or 25%
2/4 or 1/2 = 0.50 or 50%
3/4 = 0.75 or 75%
4/4 or 1 = 1 or 100%
Miguel is multiplying 58 by 12.
Answer:
696
Step-by-step explanation:
Mr. Williams drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?
Answer:
275 miles
Step-by-step explanation:
the lines below are parrellell. if the slope of the green line is -2. what is the slope of the red line
Answer:
ummm.... -2 ? because both lines are parallel they have the same slope
Suppose that the economy is experiencing a recession with an estimated recessionary gap of $10 billion. Congress is considering the use of fiscal policy to ease the recession, but due to current political sentiments, it has determined that the maximum spending increase the government is willing to support is $3 billion. It wants to make up the remainder of the recessionary gap using tax cuts.
If a spending increase of $3 billion is approved and the MPC is 0.6, by how much will taxes need to be reduced to close the remainder of the recessionary gap?
Answer:
4.66 billion
Step-by-step explanation:
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
18 cm
30 cm
24 cm
22 cm
Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years
Answer:
$72,000
Step-by-step explanation:
6000-5000=1000
1000x6 =6000
6000x12=72,000
can someone help me with this
Answer:
16 + 10 ÷ 2
Step-by-step explanation:
We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10 2
List the sides of Triangle STU in order from greatest to least if angle S=7x-36, angle T=5x-1, and angle U=x+9
A. ST,TU,ST
B. ST,TU,SU
C. TU,ST,SU
Answer:
SU, TU, ST
Step-by-step explanation:
Given:
<S = 7x - 36,
<T = 5x - 1,
<U = x + 9
First, find the value of x
(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)
7x - 36 + 5x - 1 + x + 9 = 180
Collect like terms
13x - 28 = 180
Add 28 to both sides
13x = 180 + 28
13x = 208
Divide both sides by 13
x = 16
Next, find the measure of each angle.
<S = 7x - 36,
Plug in the value of x
m<S = 7(16) - 36 = 76°
<T = 5x - 1,
m<T = 5(16) - 1 = 79°
<U = x + 9
m<U = 16 + 9 = 25°
The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.
Thus.
The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.
The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.
The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.
From greatest to the least, the sides of ∆STU are:
✅SU, TU, ST