Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
What are the outliers???
from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015
Answer:
30
Step-by-step explanation:
I think that's the answer but if I'm wrong tell me right away I'll try another method.
SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
Which of the following numbers is equivalent to
√48?
Answer: you forgot attachment
Step-by-step explanation:
The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support
Answer:
17 cm
Step-by-step explanation:
Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk. Closest to the length of the frame support.
Answer:
17 or D
Step-by-step explanation:
a^2+b^2=c^2
4.2^2+16^2=c^2
17.64+25.6=c^2
c^2=273.64
c=√273.64
c=16.5 which can be rounded up to 17 or D
and I am reviewing for the math staar.
Give another real object for the following solid figures. Write your answer in the blank
provided
1. Sphere -
2. Cube -
3. Cylinder -
4. Rectangular Prism -
5. Triangular Prism -
matinong sagot po rereport ko ung di matinong sagot
Answer:
1 bowling ball
2 box
3 can
4 book
5 pyramid
help screenshot below
A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]
Sample size : 420027
Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
For what values of b will F(x) = logbx be a decreasing function?
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.
9514 1404 393
Answer:
968
Step-by-step explanation:
The area of the top and sides is given by the formula ...
A = LW +2H(L +W)
A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)
A = (360 +16(38)) cm² = 968 cm²
Since the tiles are 1 cm², 968 tiles are needed.
Need help with this if possible
Answer:
hope it helps...
Step-by-step explanation:
What is its potential energy when compressed by 0.25 m?
a. 1.25 Joules b. 33.33 Joules
c. 8.33 Joules d. 5.0 Joules
someone please help me answer this!!
The square of a number decreased by ten times the number is negative nine.
Answer:
answers are 1 and 9
Step-by-step explanation:
x² - 10x = -9
x² - 10x + 9 = 0
(x - 9)(x - 1) = 0
x = 9, x = 1
Answer:
Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.
Step-by-step explanation:
hope this helps
If $42.60 is in the tip jar and you share equally with 2 other people what is my share
Answer:
$14.20
Step-by-step explanation:
$42.60 ÷ 3
$14.20
Yo can y'all help a brother out trying to pass.
First image is the answer choices for all the questions
Second Image is the questions.
Answer:
P' (-1,-4) N'(-5,0) U'(-2,1)
Step-by-step explanation:
At the time of her grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
$41, 863. 50
Step-by-step explanation:
$2000 - 6.5% = $1,993.50
$1,993.50 x 21 = $41, 863. 50
Use the remainder theorem and synthetic division to find f(k) for the given value of k.
Answer:
3
Step-by-step explanation:
Given that,
[tex]f(x) =-x^3-8x^2-15x+3[/tex]
We need to find the value of f(x) when k = -5
Put x = -5 in th given function.
So,
[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]
Hence, the value of the given function is equal to 3.
solve 7!!!!!!!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
no links please or you will be reported .
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of
10 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final
answers to 2 decimal places.)
3378
318.26
to
33174
a. Highest 10 percent
b. Middle 50 percent
c. Highest 80 percent
d. Lowest 10 percent
Answer:
a. Above 337.8 grams.
b. Between 318.25 grams and 331.75 grams.
c. Above 316.59 grams.
d. Below 312.2 grams
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 325 grams and a standard deviation of 10 grams.
This means that [tex]\mu = 325, \sigma = 10[/tex]
a. Highest 10 percent
This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 10*1.28[/tex]
[tex]X = 337.8[/tex]
So 337.8 grams.
b. Middle 50 percent
Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.
25th percentile:
X when Z has a pvalue of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.675*10[/tex]
[tex]X = 318.25[/tex]
75th percentile:
X when Z has a pvalue of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 0.675*10[/tex]
[tex]X = 331.75[/tex]
Between 318.25 grams and 331.75 grams.
c. Highest 80 percent
Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.841 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.841*10[/tex]
[tex]X = 316.59[/tex]
Above 316.59 grams.
d. Lowest 10 percent
Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -1.28*10[/tex]
[tex]X = 312.2[/tex]
Below 312.2 grams
Please answer this thanks
(●´⌓`●)(●´⌓`●)(●´⌓`●)
Answer:
1) A
2) A
3) D
4) B
5) D
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
If any 2 parallel lines are cut by a transversal line , then :-
its corresponding angles on same side [a pair of an interior angle and it's corresponding exterior angle (but not its adjacent exterior angle)] are equal.its alternate interior angles are equal.its alternate exterior angles are equal.__________________________________________________________
Q1)
According to the figure on the right side of the question paper ,
∠2 & ∠8 are interior angles on the same side∠2 = ∠7 (∵ Alternate interior angles are equal)So,
∠7 + ∠8 = 180°
⇒ ∠2 + ∠8 = 180° (∵ ∠2 = ∠7)
Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.
Q2)
According to the figure on the question paper ,
∠5 & ∠3 are exterior angles on the same side∠1 = ∠5 (∵ Corresponding angles are equal)So ,
∠1 + ∠3 = 180°
⇒ ∠5 + ∠3 = 180° (∵ ∠1 = ∠5)
Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.
Q3)
According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.
Q4)
According to the figure , m∠1 = 129°.
Also , ∠1 & ∠7 are interior angles on the same side.
⇒ They are supplementary angles.
⇒ ∠1 + ∠7 = 180°
⇒ ∠7 = 180° - 129° = 51°
So , the correct option is B.
Q5)
According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20
Also , ∠2 = ∠6 (∵ Corresponding angles are equal)
⇒ 3x - 10 = 2x + 20
⇒ 3x - 2x = 20 + 10
⇒ x = 30
So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)
Hence , the correct option is D.
1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.
PLS ANSWER QUICKLY !!!
A CD cost a music store $5.75 to make. If the markup is 125%, what is going to be the cost of the CD in the store?
Answer:
12.94
Step-by-step explanation:
5.75x125%=7.19
7.19+5.75=12.94
What is the elapsed time between 10:05am 10:51am
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?
P(t) = 60(3)^t/2
A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day
Answer:
A
Step-by-step explanation:
Given
P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]
Then
P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]
P(2) = 60 × 3 = 180
P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
Can someone help me??
Answer:
1) x represents the # of cranes
3x represents the # of cranes * 3 minutes
10 represents the time the centerpiece took
30 is the time limit
2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]
Btw, i'm not sure which way the signs go since I learned this a while ago.
Step-by-step explanation:
Good Luck!!!
solve (x – 5)^2 = 17
Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17