[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]
If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.
Answer:
$20,000
Step-by-step explanation:
20,000 / 0.07 = 1400
Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?
[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]
f(x) = x – 3
g(x) = x^2 + 1
Find:
f(g(x)) =
PLEASE HELP WILL MARK BRAINLIEST!!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf{f(x) = x - 3}[/tex][tex] \sf f(g(x)) = g(x) - 3[/tex][tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex][tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]you can further simplify to get ~
[tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]Four times a number is equal to the number increased by 24 find the number
Answer:
8Step-by-step explanation:
Let the number is x.
Translate the given into equation and solve for x:
4x = x + 244x - x = 243x = 24x = 8%
Only 30% of the donuts are left in the box after the party. I counted the
donuts and there are 18 donuts left. How many donuts were in the box to
start with?
donuts
Answer:
It's be 60 because 30% of 60 is 18. Hope that helped :)
A family buys a studio apartment for 240,000. They pay for a down payment of 72,000.
A: their down payment is what percent of the purchase price?
B.what percent of the purchase price would a 108,000 down payment be ?
Answer:
A. 30% B. 45%
Step-by-step explanation:
A. 72,000/240,000 = x/100
(72,000)(100) = (240,000)x
7,200,000 = 240,000x
30 = x
B. 108,000/240,000 = x/100
10,800,000 = 240,000x
45 = x
Find the sum 35 + 36 + 37 + 38 + ... + 109 + 110.
.
The sum is
Answer:
327
Step-by-step explanation:
Answer:
The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.
Step-by-step explanation:
help me plzzz its too hard
How do you solve this??
Answer:
look it up in internet and find th right answers
Answer:
g(x)=3|x| is the first box
f(x)=1/3|x| is the second box
Step-by-step explanation:
you can solve these type of questions by looking at the slope which is in front of the x.
since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster
Find the area of the equilateral triangle.
Answer:
try 6.93 for answer on equilqteral triangle
Pls help , congruent triangles exercise.
Step-by-step explanation:
We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.
First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)
Next, The problem states that KK' and LL' are equal. (so that gives our S)
Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)
Hope this helped :D
Help please and thanks!
okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58
-2x from both sides and 3x-35= 58
so 3x = 58+ 35= 93
x= 31
ABC = 31x2 = 62
BCA = 180-58-62= 60 degrees
please give me brailiest . thanks!
Answer:
x =31°
ABC is 62°
BCA IS 60°
I HOPE THIS IS HELPING
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
Alyssa’s bank charges $0.15 for each check written, $0.25 per ATM transaction, and a monthly fee to maintain a checking account. The table shows Alyssa’s checking account activity for December.
HLEPPPP huryyyyyyy
Answer:
Correct answer: 2.25
83 devided by 3, with remainders
Answer:
just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2
the difference of 3 times a number and 18 is 39 what is the number
Answer: 39
(3*(19))-18 = 39
57-18 = 39 we have the correct answer
what The Potageriterum
Answer:
Thick soup."coarse, spicy potage"A potage is a category of thick soups, stews, or porridges, in some of which meat and vegetables are boiled together with water until they form into a thick mush.Hope this helps you !!Guys I need your help
There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound
Answer:
multiply
16
Step-by-step explanation:
yeah-ya....... right?
х Y
2 4
4 5
7. 6.5
Write the equation of the line represented by the table
Answer:
y = 0.5x + 3
Step-by-step explanation:
which relation is a function? PLEASE HELPPPPP
Step-by-step explanation:
in the first
x =2y
actually I don't think that I can get the last two relations
1plss help, it time.............................
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
Someone help, thanks
Answer:
i speak very little english sorry
Step-by-step explanation:
Help. How to solve this equation.
Step-by-step explanation:
x-8/2 = x-5/5
5(x-8) = 2(x-5)
5x-40 = 2x-10
3x= 30
x = 10
Answer:
x = 10
Step-by-step explanation:
[tex]\frac{x-8}{2}[/tex] = [tex]\frac{x-5}{5}[/tex] ( cross- multiply )
5(x - 8) = 2(x - 5) ← distribute parenthesis on both sides
5x - 40 = 2x - 10 ( subtract 2x from both sides )
3x - 40 = - 10 ( add 40 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing
Answer:
x= 5 or x= -5
Step-by-step explanation:
[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]
Cross multiply:
(x +4)(x -4)= 3(3)
Expand:
[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
x² -4²= 9
x² -16= 9
+16 on both sides:
x²= 9 +16
x²= 25
Square root both sides:
[tex]x = ± \sqrt{25} [/tex]
x= 5 or x= -5
Given that:
[(x+4)/3] = [3/(x-4)]
We know that
(a/b) = (c/d)
⇛a(d) = b(c)
Now,
By using cross multiplying fraction, we get
⇛x+4(x-4) = 3(3)
⇛x(x-4) + 4(x-4) = 9
⇛x² - 4x + 4x - 16 = 9
⇛x² - 0 -16 = 9
⇛x² = 9+16
⇛x² = 25
⇛x = √(25)
⇛x = ±√(5*5)
⇛x = ±5 = +5 or -5 Ans.
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Use the graph to find the distance between point A and Point E.
Answer:
7
Step-by-step explanation:
Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.
Answer:
8, 2.
Step-by-step explanation:
2*4 is 8 so I think line them up together and 12/6 is 2
Don't answer this question
Answer:
Ok
Step-by-step explanation:
Please help me with equation and more points for you if you can help me with how to approach these types of questions in the future, thanks!
Consider the following formula:
T = 4S – 1
Which of the following statements is true for this formula?
A. If S is greater than 0.5, T is positive.
B. If S is less than 1, T is negative.
C. If S is less than -0.25, T is positive.
D. If S is less than 0.25, T is positive.
A. If S is greater than 0.5, T is positive.
The others are false
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]y = {x}^{2} [/tex]
[tex]y = 4x[/tex]
; about the y-axis
well, first off, when it comes to volumes by rotation, we'd want to graph them, Check the picture below. Our rotation over the axis will give us a "washer", so we'll be using the washer method.
now, our axis of rotation is the y-axis or namely x = 0, x = 0 is a vertical line, meaning we have to put the functions in y-terms, that is in f(y) form
[tex]y = x^2\implies \pm\sqrt{y}=x\implies \boxed{\pm\sqrt{y}=f(y)} \\\\\\ y = 4x\implies \cfrac{y}{4}=x\implies \boxed{\cfrac{y}{4}=g(y)}[/tex]
if we look at the picture, the parabola is the farthest from the axis of rotation and the line is the closest, or namely R² and r² respectively.
the way I get the area for R² and r², is by using the same I do with "area under the curve", so if I say call the axis of rotation h(y), the way I get the area is
R => f(y) - h(y)
r => g(y) - h(y)
so let's proceed.
[tex]\textit{area under the curve}\\ \begin{array}{llll} \sqrt{y}- 0\implies &\sqrt{y}\\ \frac{y}{4}-0\implies &\frac{y}{4} \end{array}\qquad \qquad \begin{array}{llll} \stackrel{R^2}{(\sqrt{y})^2}-\stackrel{r^2}{\left( \frac{y}{4} \right)^2}\\[-0.5em] \hrulefill\\ y\qquad -\qquad \frac{y^2}{16} \end{array}[/tex]
now, we want to get the area enclosed by both, and thus we'd need their points of intersection, setting both to [tex]\sqrt{y}=\cfrac{y}{4}[/tex] which in short gives us the bounds of 0 and 16.
[tex]\pi \displaystyle\int_{0}^{16}\left( y - \cfrac{y^2}{16} \right)dy\implies \pi \int_{0}^{16}y\cdot dy-\pi \int_{0}^{16}\cfrac{y^2}{16}\cdot dy\\\\\\\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^{16}-\pi \cdot \left. \cfrac{y^3}{48} \right]_{0}^{16}\implies 128\pi -\cfrac{256\pi }{3}\implies \boxed{\cfrac{128\pi }{3}}[/tex]
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.
According to the two-way table, the correct option is:
10% of her customers ordered an appetizer and dessert.From the table, it is taken that:
0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.Hence, the highlighted 0.1 = 10% means that:
10% of her customers ordered an appetizer and dessert.You can learn more about two-way tables at https://brainly.com/question/24670062