Write a polynomial function of least degree that has real coefficients, the following zeros: 1,5,3+i and a leading coefficient of 1
Answer:
no te entiendo
yo también la busco
Which statement describes the system of equations?
[x+2y-2
Ix-2y--2
It has infinitely many solutions.
O It has no solution.
It has one solution (0, 1).
It has one solution (4, -1).
Answer:
x+2y=2.....(1)
x-2y=2......(2)
(substrate 1 in 2
x=2
substitutes x in 1
2+2y=2
4y=2
y=4/2
y=2
Which expression is equivalent to (8 - 35)? 81.31 87.37 O 8.37 081.37
Answer:
the second option is the right one
Step-by-step explanation:
you have to multiply the powers for 3^5
Answer:
Option B will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!
Kiki was one of 8 children to share in a prize of $34.24. Kiki was hoping to win $5.
What is the difference between the amount of money Kiki won and the amount she hoped to win?
Answer:
She didn't get as much money that she hoped for
Step-by-step explanation:
Researchers make a one-sample zzz interval to estimate the proportion of adults who would say they learned something new in the past month. Previous studies have suggested that about 40\%40%40, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95\%95%95, percent, and they want the margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
Answer:
369
Step-by-step explanation:
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
What is a margin of error?The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.
We have,
To create a one-sample z-interval, the following steps can be followed:
Determine the sample size (n) and the sample proportion p.
Since no sample size or proportion is given in the problem, we cannot proceed with this step.
Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.
Find the critical value (z*) for the level of confidence.
This can be done using a standard normal distribution table or a calculator.
For a 95% confidence level, the critical value is 1.96.
Calculate the margin of error (ME) using the formula:
ME = z x √(p x (1 - p) / n)
Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:
0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)
Solving for n, we get:
n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)
n ≈ 384.16
Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.
Therefore,
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
Learn more about margin of error here:
https://brainly.com/question/10501147
#SPJ3
A triangle has a base of 5 feet and an area of 20 square feet. Find the triangle's height.
5 ÷ 20 = 4
#BrainlyIsFunThree points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
PLS HELP i will give 45 points if its right!
Answer:
1/16
Step-by-step explanation:
Hey yall I need help
Evaluate the expression |−35|+|7|−|−5|−|−4|−(−5)
Answer: 38
Step-by-step explanation: i dont know
Answer:
38
Step-by-step explanation:
hey there!
so if you didn't know ll means absolute value
the absolute value of -35 is 35
the absolute value of 7 is 7
the absolute value of-5 is 5
the absolute value of -4 is 4
and -(-5) the two negative signs cancel out to make it +5
now we have 35+7-5-4+5
35+7=42
42-5=37
37-4=33
33+5=38
so the answer would be 38
Help plz:)))I’ll mark u Brainliest 0-o
Answer: x=9
Step-by-step explanation:
w(n)= -n-2; Find w(10)
Answer: w(10) = -12
Step-by-step explanation:
w(n) = -n - 2; Find w(10)
w(10) = -(10) - 2
w(10) = -10 - 2
w(10) = -12
6500 divide by 100. step by step
Answer:
6500 / 100 = 65
Step-by-step explanation:
if you are dividing a number that has zeros by 10/100/1000... you can cancel out the zeros to find the answer.
The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x – 4), find BD.
A1
B3
C6
D9
Answer: c6
Step-by-step explanation:
The measure of the diagonal BD is 15 units.
What is a square?A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.
Given that, the diagonals of square ABCD intersect at point E.
Here, BE = 2x + 1, and AC = 3(6x-4)
Now, AC=BD
BD=2BE
So, 3(6x-4)=2(2x+1)
18x-12=4x+2
18x-4x=2+12
14x=14
x=1
So, BD=3(6x-1)=15
Therefore, the measure of the diagonal BD is 15 units.
Learn more about the square here:
brainly.com/question/28776767.
#SPJ6
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer: $99.99
Step-by-step explanation:
$399.99 * .25 (discount) = $99.99
Factorise the expressions.
mn + m + n + 1
m(n +1) + (n+1)
( n + 1) ( m + 1)
x (y+ z) -5 (y + z)
( y + z ) ( x- 5 )
99165+67894321-9872345
Answer:
58121141
Step-by-step explanation:
99165+67894321= 67993486
67993486-9872345= 58121141
x²-12x+a=(x+b)² find a and b
Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
The value of a is 36 and b = -6.
What is the quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of: ax² + bx + c = 0.
The given expression is;
[tex]\rm x^2-12x+a=(x+b)^2[/tex]
The solution of the equation is determined in the folllowing steps given below.
[tex]\rm x^2-12x+a=(x+b)^2\\\\x^2-12x+a=x^2+2xb+b^2\\\\2xb + b^2 = a-12x[/tex]
On comparing the equation
[tex]\rm 2b =-12\\\\b =\dfrac{-12}{2}\\\\b=-6[/tex]
The value of a is;
[tex]\rm a=b^2\\\\b=-6\\\\a=(-6)^2\\\\a=36[/tex]
Hence, the value of a is 36 and b = -6.
Learn more about equation here;
https://brainly.com/question/15339001
#SPJ2
About 20,000 fewer babies were born in
California in 1996 than in 1995. In 1995,
about 560,000 babies were born. Which
equation can be used to predict the
number of babies y (in thousands), born x
years after 1995?
Answer:
The answer is B
Step-by-step explanation:
Your substracting the 20,000 from the 560,000
The dimensions of a beach ball are shown in the diagram below.
17 in
Which measurement is the closest to the volume of the beach ball in cubic
inches?
Answer:
Volume = 2572.44 in.³
Step-by-step explanation:
The volume of the beach ball = volume of a sphere = ⁴/3πr³
r = ½(17) = 8.5 in.
Plug in the value
Volume = ⁴/3 × π × 8.5³
Volume = ⁴/3 × π × 614.125
Volume = 2572.44 in.³
A bank loaned out $12,00, part of it at the rate of 9% per year and the rest at 19% per year. If the interest received in one year totaled $1,500, how much was loaned at 9%
Answer:
$7,800 was invested at 9% and $4,200 at 19%.
Step-by-step explanation:
Given that a bank loaned out $ 12,000, part of it at the rate of 9% per year and the rest at 19% per year, if the interest received in one year totaled $ 1,500, to determine how much was loaned at 9% the following calculation must be performed:
12,000 x 0.09 + 0 x 0.19 = 1,080
10,000 x 0.09 + 2,000 x 0.19 = 1,280
8,000 x 0.09 + 4,000 x 0.19 = 1,480
7,900 x 0.09 + 4,100 x 0.19 = 1,490
7,800 x 0.09 + 4,200 x 0.19 = 1,500
Thus, $ 7,800 was invested at 9% and $ 4,200 at 19%.
-13=m-7 please help!
Answer:
20
Step-by-step explanation:
Answer:
m= -20
Step-by-step explanation:
-20--7=-13
hope this helps!!!
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the endpoints of the t-distribution with 2.5% beyond them in each tail if the samples have sizes n1=16 and n2=21.
Enter the exact answer for the degrees of freedom and round your answer for the endpoints to two decimal places.
Answer:
Don't go on that link its a virus
Step-by-step explanation:
An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 21 in the French class, and 12 in the German class. There are 9 in both Spanish and French, 5 in both Spanish and German, and 5 that are in both French and German. There are 3 students taking all 3 classes.
Required:
a. If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
b. If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
c. If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
Answer:
0.55 ; 0.32 ; 0.7
Step-by-step explanation:
Let :
Spanish = S ; French = F ; German = G
SnFnG = 3
(SnF) only = 9 - 3 = 6
(SnG) only = 5 - 3 = 2
(FnG) only = 5 - 3 = 2
S only = 28 - (6+3+2) = 17
F only = 21 - (2+3+2) = 14
G only = 12 - (6+3+2) = 1
Student not taking any of the classes :
(100 - (17+14+1+2+2+6+3))
100 - 45 = 55
A.) P(not taking any language class).
Required outcome = 55
Total possible outcomes = 100
= 55 / 100 = 0.55
B.)
P(taking exactly one language class)
(S only + F only + G only) / 100
(17 + 14 + 1) / 100
= 32/100
= 0.32
C.)
Atleast 1 is taking a language class out of 2 selected
Possibilities :
(taking and not taking) ;
(not taking and taking) ;
(taking and taking)
(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99) = 0.7
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Hope this helps(and also if you have a more refined wording please put it in the comments)!
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
A Hummingbird moves its wings at a rate of 5460 wingsbeats a minute. Write this rate in wingbeats per second?
PLEASE HELP
Answer:
60 seconds in a minute, so
5460 ÷ 60 = 91 beats per second
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Here we go, here we go It's about time that we set it off Here we go, here we go Red lights, I could never stop A dreamer with the fever to be great was all I ever want Was all I ever wanted (wanted) A fighter with the fever for the fame was all I ever want Was all I ever wanted Got me singin' like Bang, bang Bang, bang Bang, bang Let's fire the weapon Bang, bang Bang, bang Bang, bang Won't stop till we're legend Won't stop till we're legend Here we go, here we go It's my turn to make history Here we go, here we go When I'm gone they'll remember me, yeah A dreamer with the fever to be great was all I ever want Was all I ever wanted (wanted) A fighter with the fever for the fame was all I ever want Was all I ever wanted Got me singin' like Bang, bang Bang, bang Bang, bang Let's fire the weapon Bang, bang Bang, bang Bang, bang Won't stop till we're legend Won't stop till we're legend Won't stop till we're legend Blood, sweat, I'll break my bones Till all my scars bleed golden My name's forever known Woah-oh, woah-oh Blood, sweat, I'll break my bones Till all my scars bleed golden My name's forever known Woah-oh, woah-oh Blood, sweat, I'll break my bones (bang, bang) Till all my scars bleed golden My name's forever known (Bang, bang, won't stop till we're legend) Bang, bang, won't stop till we're legend Won't stop till we're legend
Answer:
NICE
Step-by-step explanation:
What is the area of the shaded region?
16 cm
A. 25.16 cm
B. 27.52 cm
C. 50.24 cm
D. 55.04 cm
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].