Answers
Answer:(x+10)(x+9)
Step-by-step explanation:
x^2+19x+90
x^2+10x+9x+90
x(x+10)+9(x+10)
(x+10)(x+9)
Related Questions
A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
Answers
Answer:
[tex]Z = 3.33[/tex]
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 13, \sigma = 1.2[/tex]
You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 13}{1.2}[/tex]
[tex]Z = 3.33[/tex]
The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answers
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
A class of 64 students was given 320 book how many will each students take home
Answers
Each student will take=320/64
=5
So the answer is 5.
Hope it will be helpful to you...
✧◝(⁰▿⁰)◜✧
arc length of a half of a circle with radius of 9
Answers
Answer:28.26
Step-by-step explanation:
Φ=180 since it's in a straight line
Radius=r=9
π=3.14
Length of arc=Φ/360 x 2 x π x r
Length of arc=180/360 x 2 x 3.14 x 9
Length of arc=0.5 x 2 x 3.14 x 9
Length of arc=28.26
(07.06)
Number line with open circle on 9 and shading to the left.
Which of the following inequalities best represents the graph above? (3 points)
x < 9
x > 9
x ≤ 9
x ≥ 9
Answers
Answer:
I think it's number two
Answer:
A, first one
Step-by-step explanation:
A child is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 33,500 feet and the child’s eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the child’s line of sight to the plane?
Answers
Answer:
about 76.2°
Step-by-step explanation:
The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.
Tan = Opposite/Adjacent
tan(angle) = (33,500/8,200)
angle = arctan (335/82) ≈ 76.246°
The angle of elevation is about 76.2°.
Can y’all answer this or not !?
Answers
Answer:
b
Step-by-step explanation:
Answer:
x=417.6
Step-by-step explanation:
Let's solve your equation step-by-step.
0.5x+78.2=287
Step 1: Subtract 78.2 from both sides.
0.5x+78.2−78.2=287−78.2
0.5x=208.8
Step 2: Divide both sides by 0.5.
0.5x divided by 0.5
208.08 divided by 0.5
Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?
Answers
Answer:
Step-by-step explanation:
Find a-score of both
z-score = (x-mean)/SD
for 120
z =( 120- 180)/34 = -1.765
For 155
z = (155-180)/34 = -0.735
The probability to look for using z-score table is;
P(-1.765<z<-0.735) = 0.19239
What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10
Answers
Answer:
x = 5 x = -2
Step-by-step explanation:
y = x^2 – 3x – 10
Set the equation equal to zero
0= x^2 – 3x – 10
Factor
What 2 numbers multiply to -10 and add to -3
-5 *2 = -10
-5+2 = -3
0=(x-5) ( x+2)
Using the zero product property
x-5 = 0 x+2 = 0
x = 5 x = -2
Answer:
-2 and 5
Step-by-step explanation:
trust
Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is the height of the particle. (a) What is tt when the particle has height 2020? t=t= (b) What is the velocity of the particle when its height is 2020? v⃗ =v→= (c) When the particle has height 2020, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter tt) as it moves along this tangent line.
Answers
Answer:
a) t = 4
b) v = pi j + 5 k
c) rt = 1i + (pi t) j + (20 +5t )k
Step-by-step explanation:
You have the following vector equation for the position of a particle:
[tex]r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}[/tex] (1)
(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.
For a height of 20 you have:
[tex]5t=20\\\\t=\frac{20}{5}=4[/tex]
(b) The velocity of the particle is the derivative, in time, of the vector position:
[tex]v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}[/tex] (2)
and for t=4 (height = 20):
[tex]v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}[/tex]
(c) The vector parametric equation of the tangent line is given by:
[tex]r_t(t)=r_o+vt[/tex] (3)
ro: position of the particle for t=4
[tex]r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}[/tex]
Then you replace ro and v in the equation (3):
[tex]r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}[/tex]
Part(a): The value of [tex]t=4[/tex]
Part(b): Required vector [tex]L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]
Given vector equation is,
[tex]r(t)=cos(\pi t)\widehat{i}+sin(\pi t)\widehat{j}+5t\widehat{j}[/tex]
Vector equation:
A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow indicating the direction.
Part(a):
When the particle has a height of 20
[tex]5t=20\\t=4[/tex]
Part(b):
The point on the curve is [tex](cos(4\pi),sin(4\pi),20) =(1,0,20)[/tex]
Differentiating the given equation with respect to [tex]t[/tex].
[tex]r'(t)=- \pi sin(\pi t)\widehat{i}+\pi cos(\pi t)\widehat{j}+5\widehat{k}\\r'(t)=- \pi sin(4\pi t)\widehat{i}+\pi cos(4\pi t)\widehat{j}+5\widehat{k}\\r'(4)=0\widehat{i}+\pi \widehat{j}+5\widehat{k}\\L(t)=r(4)+(t-4)r'(4)\\L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]
Learn more about the topic Vector equation:
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Solve for a,b,and/or c
Help solve ASAP!
Answers
Answer:
a=90-67=23°
.................
Tell the measure of the angles In degrees 1/4
Answers
Answer:
so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.
Step-by-step explanation:
Let me know if this help's you lol :)
g(x) = 9x plug in g(9)
Answers
Answer:
81
Step-by-step explanation:
replace x with 9 so it's 9x9 which is 81
Answer:
g(9) = 81
Step-by-step explanation:
g(x) = 9x
g(9) = 9(9) = 81
Kelly needs 1/8 cups of sugar to make 1/4 of her cookie recipe. How much sugar does she need to make the entire recipe?
Answers
Answer:
1/2 cup of sugar
Step-by-step explanation:
She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.
Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.
Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is .
The relative frequency of landing on caterpillar is .
The relative frequency of landing on chrysalis is .
The relative frequency of landing on adult is .
All the outcomes be considered equally likely.
Answers
The relative frequency of landing on an egg, caterpillar, chrysalis and adults are 0.2, 0.24, 0.3 and 0.26.
What is the relative frequency?"Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset".
For the given situation,
Number of times egg landed on spin, x1 = 10
Number of times caterpillar landed on spin, x2 = 10
Number of times chrysalis landed on spin, x3 = 15
Number of times adult landed on spin, x4 = 13
Total number of times, n = 50
The formula for relative frequency = [tex]\frac{x}{n}[/tex]
The relative frequency of landing on an egg = [tex]\frac{10}{50}[/tex]
⇒ [tex]0.2[/tex]
The relative frequency of landing on caterpillar = [tex]\frac{12}{50}[/tex]
⇒[tex]0.24[/tex]
The relative frequency of landing on chrysalis = [tex]\frac{15}{50}[/tex]
⇒ [tex]0.3[/tex]
The relative frequency of landing on adults = [tex]\frac{13}{50}[/tex]
⇒ [tex]0.26[/tex]
Hence we can conclude that the relative frequency of landing on an egg, caterpillar, chrysalis, and adults are 0.2, 0.24, 0.3 and 0.26.
Learn more about relative frequency here
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Answer:
The relative frequency of landing on egg is 0.2.The relative frequency of landing on caterpillar is 0.24.The relative frequency of landing on chrysalis is 0.3.The relative frequency of landing on adult is 0.26.All the outcomes can be considered equally likely.Step-by-step explanation:
Ready to help you all any time
If a sample mean is 37,which of the following is most likely the range of possible values that best describes an estimate for the population mean?
Answers
Answer:
(32, 42)
Step-by-step explanation:
Answer:
(32,42)
Step-by-step explanation:
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new
job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off
his debt. He constructs the expression 36, 700 - (5,000+ 500m)to represent the size of his debt after m months. Which number
describes the value of his signing bonus?
I need help plz
Answers
Answer:
Michael needs to save $63.40, approximately.Step-by-step explanation:
The given expression is
[tex]36,700 - (5,000 + 500m)=0[/tex]
Where [tex]m[/tex] is months.
We need to solve for the variable.
[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]
Therefore, Michael needs to save $63.40, approximately.
Answer:
The number representing describing the value of his signing bonus = 5,000.
Step-by-step explanation:
Total debt = $36,700
He pays $500 every month from his monthly salaries, since m = months.
The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.
It is like the fixed payment. While the 500m is the variable payment per month.
So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)
Two forces are acting on an object at the same point. Determine the angle between the two forces. (-2,7) and (3,-1)
Answers
Answer:
It is 124 degrees.
Step-by-step explanation:
You square each coordinate like this:
sqrt(x^2+y^2 )
You will end up getting sqrt(53 and sqrt(10.
Then find the dot product which is -6+-7=-13.
Then cos^-1(-13/sqrt53*sqrt10)
=124 degrees
Which of the following are perfect squares? Check all that apply.
Answers
Answer: 16, 64, and 49
Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.
11 is not a perfect square since nothing can
be multiplied by itself to give us 11.
The same is true for 62 and 15.
16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.
That number is 4 since 4 × 4 = 16.
64 is also one since 8 can be multiplied by itself twice to give us 64.
49 is also one since 7² or 7 × 7 is 49.
Answer:D,E and F
Step-by-step explanation:
Perfect squares are numbers in which their square roots are whole numbers.
From the options
√16 =4
√64 =8
√49 =7
a reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below: 54,39,29,43,60,44,35,49,51. for this data, which summary statistic is not correct?
Answers
Answer: The answer is 29, because that 29 would be the outlier of the numbers.
Step-by-step explanation:
What type of ratio can be a fraction?
a
part to whole
b
whole to part
c
part to part
d
part to total
Answers
Answer:
Your answer is A . part to whole .
Step-by-step explanation:
hope it helps!
Can I get brainliest !
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
A.15
B. 75
c. 45
d. 150
Answers
Answer:
d 150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
Given: 5(x + 2) - 3 = 4(x - 1)
Prove: x = -11
Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction
Answers
Answer:-11 proved
Step-by-step explanation:
5(x+2)-3=4(x-1)
Open brackets
5x+10-3=4x-4
Collect like terms
5x-4x=-4+3-10
x=-11
12 divided by 9 tenths and hundredths
Answers
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?
Answers
Answer:
D,E
Step-by-step explanation:
hope I helped
If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)
Answers
Answer:
If you both have 1M subs then its the same, not one person has more
40/27 ,20/9, 10/3 what is the next term in the geometric sequence ?
Answers
Answer:
5/1
Step-by-step explanation:
40/27
20/9
10/3
5/1
divided by 2 and 3 each other!
Determina el valor que debe tomar el parámetro m para que el polinomio P(x) = 5x3 − 2x2 + mx − 3 cumpla que P(2) = 3
Answers
Answer:
x
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.
Answers
Answer:21
Step-by-step explanation:9+10
Answer:
B,C,D.F
Step-by-step explanation:
Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft
Answers
Answer: 17.32
Step-by-step explanation:
