Answer:
71
-133
Step-by-step explanation:
Given the polynomial :
3x³– 4x² + 7x + 5, when x = 3 and also when
x = –3.
Put x = 3
3(3)³– 4(3)² + 7(3) + 5
3(27) - 4(9) + 21 + 5
81 - 36 + 21 + 5
= 71
Put x = - 3
3(-3)³– 4(-3)² + 7(-3) + 5
3(-27) - 4(9) - 21 + 5
-81 - 36 - 21 + 5
= - 133
Answer this guys please
[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔
Step-by-step explanation:
[tex]f(x )= - {x}^{2} + 1[/tex]
Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have
[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]
Let's try![tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]
[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]
[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]
[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]
[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]
_________
#LetsStudy
There are 6 chef assistants and 2 servers. How many staff are working there?
Answer: 8
Step-by-step explanation:
are you in elementary school
Answer:
8 staff
Step-by-step explanation:
6 +2 = 8 There are 8 staff working there.
If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))
The manager of a local car dealership wants to conduct a customer satisfaction survey. Which group of people should make up a sample of the population?
A. sales people in the dealership
B. mechanics who work at the dealership
C. people who bought cars from the dealership
D. prospective buyers who visit the dealership
Answer:
Step-by-step explanation:
A customer satisfaction survey refers to a questionnaire that's designed by a company in order for businesses to know what customers think about their products.
Since the manager of a local car dealership wants to conduct a customer satisfaction survey, then the group of people should make up a sample of the population will be the people who bought cars from the dealership
Answer:
c
Step-by-step explanation:
How do I do this this question I really need help on this
Answer:
-2
Step-by-step explanation:
If you draw a line from a to a^1 and cut that line in half, that’s the line of reflection (or think of it as a line of symmetry if that helps). You use a and a^1 because a^1 is the reflection of point a
The school has a population of 500 students.
Supposed 200 students play soccer, 170 students play basketball, and 100 play both soccer and basketball.
1) How many students didn’t participate in either sport?
2) How many students played only soccer or only basketball?
3) How many students play either sport?
4) How many students played both soccer and basketball?
PLEASE HELP TY!
Answer:
1. 30
2. 370
3. 470
4. 100
Step-by-step explanation:
for one, add the amount of students that play sports and subtract it from 500. for two, add the number of people that only play soccer and only play basketball. for three, take away the 30 people from the 500 kids that don't play. for four, it says 100 people play both.
What is -6(9-9v)
Please only answer with the answer
Answer:
v = 1
Step-by-step explanation:
-6(9-9v)
-6*9 = -54
-6*(-9v) = 54v
-54+54v = 0
+54 +54
54v = 54
divide both sides by 54
v = 1
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
Find the value of x. Round to the nearest 10th
Answer:
44.94
Step-by-step explanation:
affgfgghffbvcxddgjjjbvccf
Answer:
2x(7×3)+(7×6)+(3×6)= 162ft
The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.
Answer:
Part 1
SE= 31.94
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes. out of 100 , 95 of the intervals will contain the true value of population mean u .
Step-by-step explanation:
Part 1
The standard error is calculated using the formula
SE = S/√n
where s is the standard deviation of the sample = $ 105.93
and n is the sample size= 11
Putting the values we get
SE= $ 105.93/ √11= 31.939
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
The z∝/2 value for 0.05 is ± 1.96
The 95 % confidence interval will be given by
x` ±z ∝/2 * s/√n
Putting the values
638.91 ± 1.96 * 31.94
638.91 ± 62.6006
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .
Or out of 100 , 95 of the intervals will contain the true value of population mean u.
The volume of a sphere is 904.32 mm3. What is the approximate volume of a cone that has the same height and a circular base with the same diameter? Use 3.14 for π and round to the nearest hundredth.
Answer:
[tex]V_c=452.16\ mm^3[/tex]
Step-by-step explanation:
Given that,
The volume of a sphere is 904.32 mm³.
The volume of a cone that has the same height and circular base with the same diameter is:
[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]
The volume of a sphere with the same radius is:
[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]
So, the volume of sphere is :
[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]
So, the volume of the cone is [tex]452.16\ mm^3[/tex].
Find mZ3 if mZ5 = 145º and mZ4 = 45°
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
∠5 = ∠3 +∠4
145° = ∠3 +45° . . . . fill in the given values
100° = ∠3 . . . . . . subtract 45° from both sides
How do I uses these
Answer:
To understand a graph you need to interpret a graph or a chart, read the title, look at the key, read the numbers and lables. then study the graph to understand what it shows. read the title graph or chart. the title tells what information is being displayed.
Step-by-step explanation:
Name this triangle by its sides and angles. This is a(n) ____________________ triangle.
a triangle with one right angle and three non-congruent sides
right triangle
Hope this helps! :)
What is the degree of 1
Answer:
28
Step-by-step explanation:
As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);
62 + (m<1) = 90
Inverse operations
62 + (m<1) = 90
m<1 = 28
I really need help please
Answer:
11
Step-by-step explanation:
3/7*14=6
5/8*8=5
6+5=11
If the number of orders at a production center this month is a Geom(0.7) random variable, find the probability that we'll have at most 3 orders.
Answer: 0.973
Step-by-step explanation:
The probability mass function of geometric distribution is
[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.
As per given, we have
p=0.7
The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]
[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]
hence, the required probability = 0.973
The probability that we'll have at most 3 orders will be "0.973".
According to the question,
→ [tex]x \sim Geometric (p)[/tex]
here,
p = 0.7
then,
→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]
By putting the given values, we get
[tex]= (1-0.7)^{x-1}\times 0.7[/tex]
hence,
The probability that we'll have at most 3 orders will be:
→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]
[tex]=0.7+0.21+0.063[/tex]
[tex]=0.973[/tex]
Thus the above response is correct.
Learn more about probability here:
https://brainly.com/question/6981569
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal
Answer:
0.5 I believe
Step-by-step explanation:
In a certain year, 86% of all Caucasians in the U.S., 77% of all African-Americans, 77% of all Hispanics, and 84% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 11% African-American, and 10% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic
Answer:
Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%
Step-by-step explanation:
We are given that
Population was Caucasian=64%
Population was African-American=11%
Population was Hispanic=10%
Let the population of U.S=10000
Now,
Population was Caucasian=[tex]\frac{64}{100}\times10000=6400[/tex]
Population was African-American=[tex]\frac{11}{100}\times 10000=1100[/tex]
Population was Hispanic=[tex]\frac{10}{100}\times 10000=1000[/tex]
Population of others=10000-(6400+1100+1000)=1500
Population of Caucasians used the Internet for e-mail=86% of 6400
Population of Caucasians used the Internet for e-mail=[tex]\frac{86}{100}\times 6400[/tex]
Population of Caucasians used the Internet for e-mail=5504
Population of African-American used the Internet for e-mail=77% of 1100
Population of African-American used the Internet for e-mail=[tex]\frac{77}{100}\times 1100=847[/tex]
Population of Hispanics used the Internet for e-mail=77% of 1000
Population of Hispanics used the Internet for e-mail=[tex]\frac{77}{100}\times 1000=770[/tex]
Population of others used the Internet for e-mail=84% of 1500
Population of others used the Internet for e-mail=[tex]\frac{84}{100}\times 1500=1260[/tex]
Total population used the Internet for e-mail=5504+847+770+1260
Total population used the Internet for e-mail=8381
Percentage of U.S resident who used the Internet for e-mail were Hispanic
=[tex]\frac{Population \;of \;Hispanics \;used \;the \;Internet \;for \;e-mail}{total\;population\; used \;the \;Internet \;for\; e-mail}\times 100[/tex]
Percentage of U.S resident who used the Internet for e-mail were Hispanic=[tex]\frac{770}{8381}\times 100[/tex]
Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X and Y in the rectangle.
Thank you!m
Y = 20
X = 70
We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.
What is the solution to the equation blow?
x + 6 = 24
The volume of the triangular prism is 1008 cubic centimeters.
Find the base height. *
1
21 cm
12 cm
8
You
7
Answer:
?
Step-by-step explanation:
i dont understanding that
1. Name a decimal between 0.2222 and 0.2223.
2. if you laid 4 million bills end to end, how long (in miles) would that be? (use 6.14 inches for the length of a single bill. round your answer to one decimal place.)
2a. how long (in miles) would 4 billion dollars be? ( Round answer to one decimal place.)
3. what base is c in this statement?
695 base ten = 852 base x
4. order the numbers to smallest to largest.
3/11, 0.027, 0.27, -13
Step-by-step explanation:
You should be breaking this up
One
Decimal between 0.2222 and 0.2223 would be something like 0.22225
Two
1 mile = 5280 feet
1 mile = 5280 feet * 12 = 63360 inches
4 miles = 253440 inches
answered on my cell phone. I can't really do this.
What is the slope of the line shown below?
10
O A. 2
5
(3,6)
OB. 4
O c. -4
-5
10
15
5
(1,-2)
-5
O D. 2
-10
Answer:
B
Step-by-step explanation:
Slope Formula
6 - (-2) / 3 - 1
8 / 2 = 4
The slope of the graph is 4.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The coordinates from the graph are:
(1, -2), and (3, 6)
Now,
Slope.
= (6 -(-2)) / (3 - 1)
= (6 + 2) / 2
= 8/2
= 4
Thus,
The slope of the graph is 4.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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GIVING OUT BRAINLIEST HELP ME PLSS !!
Answer:
C) 5.66
Step-by-step explanation:
For a 45-45-90 triangle, the length of each leg length (not including the hypotenuse) is congruent to each other. If 8=y√2, then y=8/√2=4√2=5.66
Answer:
5.66
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45 =adjacent /hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] =y/8
[tex]\frac{1}{\sqrt{2} } *8=y[/tex]
[tex]\frac{8}{\sqrt{2} }=y[/tex]
[tex]4\sqrt{2} =y[/tex]
5.66=y
what is the value of a?
Hope this help!!!
Have a nice day!!!
Solve the equation for the variable b: ab - 2c = 4
Answer:
b = (4+2c)/a
Step-by-step explanation:
ab - 2c = 4
Add 2c to each side
ab - 2c+2c = 4+2c
ab = 4+2c
Divide each side by a
ab/a = (4+2c)/a
b = (4+2c)/a
Answer:
b = 4 + 2c / a
Step-by-step explanation:
ab - 2c = 4
ab - 2c + 2c = 4 + 2c ..( add 2 both side)
ab = 4 + 2c
ab / a = 4 + 2 c / a ...( Divide each side by a)
b = 4 + 2c / a
for the following right triangle find the side length x round your answer to the nearest hundredth
Answer:
4.58
Step-by-step explanation:
4) A piece of hematite contains 70%
iron. If the hematite weighed 60g,
how much iron would there be?
6) A survey of 250 trees in a small
Answer:
42g
Step-by-step explanation:
70% of 60 = 42
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
