Answer:
-10 + 28i
Step-by-step explanation:
Multiply the binomials ↓
1*5+3i+(5i*5)+(5i*3i)
Simplify ↓
5+3i+25i+15i²
Combine like terms ↓
5+28i+15i²
Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓
5+28i-15
28i-15+5
28i-10
So the final ans is 28i-10hope helpful ~
5In t + 6In s to make a single logarithm
Answer:
ln t^5s^6.
Step-by-step explanation:
5In t + 6In s
= ln t^5 + ln s^6
= ln (t^5*s^6)
= ln t^5s^6.
The chocolate candy below is being wrapped in a cardboard box. How many square centimeters area needed for the box?
The total area of cardboard needed is equal to 121.34 square centimeters.
How many square centimeters area needed for the box?This is equal to the surface of the given chocolate.
First, we will have two sides that are rectangles measuring 16cm by 2.6cm, so the area is:
[tex]A = 16cm*2.6cm = 41.6cm^2[/tex]
Then we have another rectangular side which is the bottom one, that is a rectangle of 2.2cm by 16cm, so the are is:
[tex]A' = 2.2cm*16cm = 35.2cm^2[/tex]
Finally, we have the areas of the two triangular faces, the areas of these are:
[tex]A'' = 2.2cm*3cm/2 = 1.47cm^2[/tex]
Then the total area of cardboard needed is:
[tex]area = 2*A + A' + 2*A'' = 2*41.6cm^2 + 35.2cm^2 + 2* 1.47cm^2 = 121.34 cm^2[/tex]
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What is a formula for the nth term of the given sequence? 15, 24, 33
Answer:
The nth terms: 15,24,33,42,51,60,69,78,87,96,105...
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula
PLEASE HELP PLEASE PLEASE
Answer:
21
Step-by-step explanation:
Yes, since 21 has more than two factors i.e. 1, 3, 7, 21. In other words, 21 is a composite number because 21 has more than 2 factors.
Samara is purchasing gas at the Gas n' Sip. The gas costs $2.469 per gallon. How much did Samara
pay in gas if she purchased 7 gallons?
A. $0.35
B. $9.47
C. $14.82
D. $17.28
Answer:
D. $17.28
Step-by-step explanation:
Multiply the price of gas per gallon by the number of gallons purchased to get your answer
2.469 x 7 = 17.28
PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
I would choose "Elimination" method.
Explanation:Elimination is the easiest method to solve an equation. Because in this method first we have to find the value of "y" by eliminating "x". And at last,the value of "y" which we have got by elimimating,we need put to any equation as we desire. And finally the equation will be solved.
Hope it helpsJoey recorded his heart rate in beats per minute (bpm) after doing different numbers of jumping jacks His results are shown in the table below
The linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
Linear regression equation and correlation coefficienta. Linear regression equation:
We would make used of graphing calculator in order to determine the linear regression equation by plugging the below given data and then click on stats so as to perform a linear regression.
Given table:
(x, y), (0, 68), (10, 84), (15, 104), (20, 100), (30, 120)
Hence:
a = 1.72
b = 69.4
Equation
y = ax + b
y = 1.72x + 69.4
b. Correlation coefficient :
Correlation coefficient = 0.967
Correlation coefficient=0.97 (nearest hundredth)
Analysis:
The above correlation coefficient shows a strong positive correlation between the number of jumping jacks and the heart rate.
Therefore the linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
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Describe the graph of the function.
y =Square root of
x-1 + 4
Answer: The answer is D. the last option
Step-by-step explanation:
The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.
The original function is y = √(x - 1) + 4, which represents a radical function.
This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.
By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.
By shifting the function up 4 units, we are adding 4 to the output of the square root function.
This means that the graph will be shifted vertically by 4 units compared to the standard square root function.
Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.
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what is the sum of the degree measures of the complement and the supplement of a 16 degree angle
Answer:
270
Step-by-step explanation:
Sarah has an unorganized sock drawer. There are 24 loose socks in her drawer. If there are 10 black socks, 3 green socks , 8 white socks, 2 blue socks and 1 red sock sock, what is the probability of pulling out 2 socks in a row that are both black?
Answer:
0 because there is no black socks.
Step-by-step explanation:
Answer:
0 because there are already some in one drawer
Meeko insurance offers an annuity with a minimum interest rate of 4% for the next five years. You decide to invest 1000 into his account. what type of annuity is this?
a.single-payment fixed annuity
b.recurring-payment fixed annuity
c. recurring-payment variable annuity
D.single-payment variable annuity
Answer:
single payment variable annuity
Step-by-step explanation:
Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.
To find : What type of annuity is this?
Solution :
Annuity is the form of insurance in which some of the money is paid each year to secure for future.
There are two types of annuity:
Single payment variable annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.
Annuity due - is the opposite of single payment variable annuity as in this the payment is made at the beginning of each period.
In the given situation the annuity is single payment variable annuity because the investment is done each year for 5 years.
i will give you brainliest i swear
Answer:
step 1: 45:82, unsimplified
step 2: 67:90, unsimplified
Step 3: 1:10 simplified
Step-by-step explanation: Using the property of retrostatistical Ratios, we understand that the answers above are correct.
While playing with magnetic building tiles, Natalie constructed a square pyramid out of
orange tiles and a larger square pyramid out of green tiles. The dimensions of the orange
pyramid are shown below.
5 cm
7 cm
The green pyramid's square base has sides that are 14 centimeters long, and its volume is 21
times the volume of the orange pyramid. What is the height of the green pyramid?
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
Volume of the orange pyramid
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
A is the base area of the pyramidh is the height of the pyramidV = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
Volume of the green pyramidVoume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
Height of the green pyramidV = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
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Matt mixes 4 pints of ice cream and 1 1/2 pints of milk to make a milkshake. He drinks 2 cups of the milkshake. How many cups are left? Will give brainliest
Answer:
7 1/2 cups
Step-by-step explanation:
First, convert the measure of ice cream from pints to cups:
1 pint = 2 cups
⇒ 4 pints = 4 × 2 = 8 cups
Therefore,
Milkshake = 8 cups of ice cream + 1 1/2 cups of milk
= 9 1/2 cups
If he drinks 2 cups of milkshake:
Remaining milkshake = 9 1/2 - 2
= 7 1/2 cups
1pint=2cups
icecream=4(2)=8cupsmilk=1 1/2=3/2cupsTotal cups:-
3/2+88+1.5=9.5cupsCups left:-
9.5-2=7.5cupsFrom a hot-air balloon, Khalil measures a 36^{\circ}
angle of depression to a landmark that’s 1304 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
947.41 ft
Step-by-step explanation:
Tan 36 = opp / adj = height / 1304
1304 * tan 36 = height = 947.41 ft
The function f(x)f(x) is graphed below. What is true about the graph on the interval from x=-\inftyx=−∞ to x=ax=a?
Answer:
If graph of any function going towards down in a particular interval. Then , function is decreasing in that interval.
From x = -∞ to x = a , function is positive and decreasing.
Here, a graph is attached in the question.
We know that, if graph of any function is going towards down in particular interval. Then function is decreasing in that particular interval.
If graph of any function is going towards up in particular interval. Then function is increasing in that particular interval.
In given graph. it is observed that in interval x = -∞ to x = a , graph of function is above x - axis and graph is going towards down. Therefore, in given interval function is positive and decreasing.
Step-by-step explanation:
m stuck, i dont know where i went wrong. Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1
Answer: hii
Its A. x2−x+2−5x−1
Step-by-step explanation:
Divide using polynomial division.
Hopefully this helps you
- Matthew
Mia is designing a cake for a birthday party. She plans for a total of 12 guests, each of whom may eat a piece of cake that has a volume of 8 cubic inches. Which of the following cakes would provide enough cake for each guest to have one piece of cake, with the least amount left over?
Square cake: side = 8 in., height = 2 in.
Round cake: diameter = 6 in., height = 3 in.
Round cake: diameter = 8 in., height = 3 in.
Rectangular cake: length = 6 in., width = 9 in., height = 2 in.
The square cake can be distributed in such a way that each person out of 15 guest may get 8 [tex]inch^{3}[/tex], with the least amount left over .
The Correct option is (1).
What is Volume of any shape?The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.
First find the volume of square cake,
Volume = l x b x h= 8 x 8 x 2
=128 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{128}{15}[/tex]
= 8.533 [tex]inch^{3}[/tex]
2.Volume of round cake (d= 6 inch, r=3 inch, h= 3 inch)
Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} *3.14 *3^{2}* 3[/tex]
=[tex]3.14*9[/tex]
=28.26 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{28.26}{15}[/tex]
= 1.884[tex]inch^{3}[/tex]
3.Volume of round cake (d= 8 inch, r=4inch, h= 3 inch)
Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} *3.14 *4^{2}* 3[/tex]
=[tex]3.14*16[/tex]
=50.24 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{50.24}{15}[/tex]
= 3.349 [tex]inch^{3}[/tex]
4. Volume = l x b x h
= 6 x 9 x 2
=108 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{108}{15}[/tex]
= 7.2[tex]inch^{3}[/tex]
According to question each person may get 8 [tex]inch^{3}[/tex].
Only the square cake can be distributed in such a way that each person may get 8 [tex]inch^{3}[/tex], with the least amount left over .
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A group of 8 friends arrive at a party.
They increase numbers by 20%. How
many people now at the party?
The number of people at the party now is 23.
The percentage of a number is the fraction of that number multiplied by 100. Percentages are represented with this sign: %.
3 friends arrive at a party. The percentage of people increase by 20%.This can be represented with this equation:
p x 20% = 3 people
where p is the number of people at the party before the friends arrived.
p = 3 / 20%
p = 3 / 0.20
p = 15 people
The total number of people at the party now : 15 + 8 = 23.
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what is 1/2 - 1/3 = in simplest form
Answer:
1/6
Step-by-step explanation:
area of r ctangle formula with l 8.5. and b 3.4
Answer:
28.9 units²
Step-by-step explanation:
The area of a rectangle formula with L being 8.5 units and B being 3.4 units, is 28.9 units². make sure to add the units squared, otherwise, it's wrong.
Always remember for area:
rectangle = length * widthtriangle = [tex]\frac{base * width}{2}[/tex]trapezoid = [tex]\frac{base_{1}*base_{2} }{2} *height[/tex]circle = π * radius ² (The most accurate is to just square the radius and keep it as ___π, but not all teachers like that.)Hope this helps, if it is the best, mark brainliest, if not, hope it helps anyway.
A water faucet leaked 2 and 3/5 liters of water every 2/4 of an hour. It leaked at a rate of how many liters per hour?
let's firstly convert the mixed fraction to improper fraction and then proceed.
[tex]\stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} liters&hours\\ \cline{1-2} \frac{13}{5}&\frac{2}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~\frac{13}{5} ~~}{x}~~ = ~~\cfrac{~~\frac{2}{4} ~~}{1}\implies \cfrac{~~\frac{13}{5} ~~}{\frac{x}{1}}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5\frac{1}{5}=x[/tex]
A triangular prism is 18 yards long and has a triangular face with a base of 18 yards and a height of 12 yards. The other two sides of the triangle are each 15 yards. What is the surface area of the triangular prism?
Answer:
I really don't know happy
Simplify the algebraic expression -30y+(-15y)+70
Answer:
[tex]-45y + 70[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]-30y + (-15y) + 70[/tex]
[tex]-30y - 15y + 70[/tex]
[tex]-45y + 70[/tex]
Answer: [tex]-45y + 70[/tex]
-30y+(-15y)+70 is the same as
-30y-15y+70
Combine like terms-45y+70
That's the ans.hope helpful ~
he area of each figure.
. 5x-4 x+1 3x-4
Answer:
Find each product.
1. (q + 6)(q + 5) 2. (x + 7)(x + 4)
q2 + 11q + 30 x2 + 11x + 28
3. (n - 4)(n - 6) 4. (a + 5)(a - 6)
n2 - 10n + 24 a2 - a - 30
5. (4b + 6)(b - 4) 6. (2x - 9)(2x + 4)
4b2 - 10b - 24 4x2 - 10x - 36
7. (6a - 3)(7a - 4) 8. (2x - 2)(5x - 4)
42a2 - 45a + 12 10x2 - 18x + 8
9. (3a - b)(2a - b) 10. (4g + 3h)(2g + 3h)
6a2 - 5ab + b2
8g2 + 18gh + 9h2
11. (m + 5)(m2 + 4m - 8) 12. (t + 3)(t2 + 4t + 7)
m3 + 9m2 + 12m - 40 t
3 + 7t
2 + 19t + 21
13. (2h + 3)(2h2 + 3h + 4) 14. (3d + 3)(2d2 + 5d - 2)
4h3 + 12h2 + 17h + 12 6d3 + 21d2 + 9d - 6
15. (3q + 2)(9q2 - 12q + 4) 16. (3r + 2)(9r2 + 6r + 4)
27q3 - 18q2 - 12q + 8 27r3 + 36r2 + 24r + 8
17. (3n2 + 2n - 1)(2n2 + n + 9) 18. (2t2 + t + 3)(4t2 + 2t - 2)
6n4 + 7n3 + 27n2 + 17n - 9 8t
4 + 8t
3 + 10t
2 + 4t - 6
19. (2x2 - 2x - 3)(2x2 - 4x + 3) 20. (3y2 + 2y + 2)(3y2 - 4y - 5)
4x4 - 12x3 + 8x2 + 6x - 9 9y4 - 6y3 - 17y2 - 18y - 10
GEOMETRY Write an expression to represent the area of each figure.
21.
4x + 2
2x - 2
22.
3x + 2
5x - 4
x + 1
23. NUMBER THEORY Let x be an even integer. What is the product of the next two
consecutive even integers?
24. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of
its base and its height. Find an expression for the volume of a rectangular pyramid
whose base has an area of 3x2 + 12x + 9 square feet and whose height is x + 3 feet.
x3 + 7x2 + 15x + 9 ft3
Step-by-step explanation:
Find the total surface area
Answer:
3.4cm
Step-by-step explanation:
Multiply the 2 numbers 5x24=120 then u will solve trhe surface and V=bxh so then u U will get that
I need help with this
Answer:
to me I think its c but I don't know if I'm right or wrong and I'm sorry if im wrong and I hope I help you
please help me answer this question
Answer:
Step-by-step explanation:
Find the area and the circumference of a circle with diameter .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answer:
the answer is in the picture
Identify the asymptotes of the graph.
x = 2, y = 2
x = –2, y = 2
x = 2, y = –2
x = –2, y = –2
Answer:
A) x = 2, y = 2
Step-by-step explanation:
An asymptote of a curve is a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see there is a horizontal and a vertical asymptote, both indicated by the dashed straight lines.
The horizontal asymptote is y = 2 (blue dashed line)
The vertical asymptote is x = 2 (red dashed line)
Therefore, the asymptotes are: x = 2, y = 2