Answer:
The first 3 installments of Mr. X were $ 180.
Step-by-step explanation:
Since Mr X arranges to pay off a Debt of $ 9600 in 48 annual installments which form an AP, and when 40 of these installments are paid, Mr X become insolvent, and he still owe his creditor $ 2400, to find the value of each of the first three installments of Mr X the following calculation must be performed:
((9,600 - 2,400) / 40) = X
7,200 / 40 = X
180 = X
Therefore, the first 3 installments of Mr. X were $ 180.
Write the word sentence as an inequality a number b is less than 15
Simplify 3x^(1/2)*5x^(2/5)
Answer:
= 15x^9/10
Step-by-step explanation:
Multiply the numbers: 3 . 5 = 15
= 15x^1/2x2/5
Apply exponent rule: a^b . A^c = a^b + c
= 15x^1/2+2/5
1/2 + 2/5 = 9/10
= 15x^9/10
Solve the equation
z³=27
Answer: z = 3, -1.5 + 1.5[tex]\sqrt{3}[/tex]i, -1.5 - 1.5[tex]\sqrt{3}[/tex]i
Step-by-step explanation:
A cubic equation will have three solutions. This equatoin will give us one real solution. We will also have two complex solutions. These are solutions that involve "imaginary numbers" and will utilize the value i. We will write the equation in standard form and factor it.
z³ - 27 = 0
(z - 3)(z² + 3z + 9) = 0
The first factor gives us z = 3, because 3 - 3 = 0. Now, we will look at when the second factor equals 0. Let us complete the square.
z² + 3z + 9 = 0
(z² + 3z + 2.25) + 9 - 1.5 = 0
(z² + 3z + 2.25) + 6.75 = 0
(z + 1.5)² + 6.75 = 0
Lastly, we can continue solving. We will subtract 7.5 from both sides of the equation and then take the square root of both sides. Then, we will subtract 1.5 from both sides of the equation and simplify the radical. [tex]i=\sqrt{-1}[/tex].
(z + 1.5)² = -6.75
z + 1.5 = ±[tex]\sqrt{6.75}[/tex]i
z = -1.5 ±1.5[tex]\sqrt{3}[/tex]i
Answer:
z = 3, -1.5+1.5√3i, -1.5-1.5√3i
Step-by-step explanation:
You want the solutions to the equation z³ = 27.
CubicA cubic equation has three solutions. This one has one positive real solution and two complex conjugate solutions.
We can rewrite the equation to standard form, then factor the difference of cubes.
z³ -27 = 0
(z -3)(z² +3z +9) = 0
The first factor will be zero when z = 3, so that is one solution.
The second factor will be zero when ...
(z +1.5)² +6.75 = 0 . . . . . . . complete the square
(z +1.5) = ±√(-6.75) = ±√(-27/4) = ±(3/2)√(-3) . . . subtract 6.75; square root
z = -1.5 ±1.5√3i
The three solutions to the equation are ...
z = 3z = -1.5+1.5(√3)iz = -1.5-1.5(√3)i<95141404393>
Let a and b be real numbers were a≠ b ≠ 0. Which of the following functions could represent the graph below?
Answer:
A
Step-by-step explanation:
where the graph
WHERE THE GRAPH???
Question 6
What is the missing value of the following synthetic division?
Answer:
Hello!
16
Step-by-step explanation:
Because
-5+16=11
A shipping box has the dimensions shown. What is the volume of the box in cuvic yards? ( two sides are 1/4 yards and one side is 1/2 yrads)
answers - 1/16 yards, 1/10yards, 1/32 yards, 1/8 yards
Answer:
[tex]C)[/tex] [tex]1/32 ~yd^3[/tex]
Step-by-step explanation:
[tex]l*b*h[/tex]
[tex]1/2*1/4*1/4=[/tex][tex]1/32 ~yd^3[/tex]--------------------
hope it helps...
have a great day!!
m and p are complementary angles m/M = 56, and m/P = 2x + 4. Write and solve an equation to find the value of x.
One of the two answers is wrong please help guys
Answer:
The first answer is right (18). Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.
Step-by-step explanation:
A pitcher contains 2 liters of liquid. Jin pours 368 milliliters of this liquid into a test tube.
How much liquid is left in the pitcher?
Enter your answer in the box.
Answer:
1,632 liters of liquid remain in the pitcher.
Step-by-step explanation:
Given that a pitcher contains 2 liters of liquid, and Jin pours 368 milliliters of this liquid into a test tube, to determine how much liquid is left in the pitcher the following calculation must be performed:
368 milliliters = 0.368 liters
2 - 0.368 = X
1.632 = X
Therefore, 1,632 liters of liquid remain in the pitcher.
Question 3 of 10
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
Answer:
Step-by-step explanation:
SEVEN
"I think of a number, take away 1 and multiply the result by 3."
Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
A common marketing strategy used by retailers to make products appear more attractive, while customers really pay the same price, is to list a
$200 item for (5 points)
a)$10 per month for 2 months
b)$10 per week for 200 weeks
c)$20 per week for 10 weeks
d)$20 per month for 1 month
Answer:
$20 per week for 10 weeks
Step-by-step explanation:
It's the only one that even mathematically makes sense, and this tactic is also used to make it look better than $200 upfront
Find the median of these numbers ? 2,7,5,4,3
Answer:
4
Step-by-step explanation:
MARK AS BRAINLIST!!
Answer:
4.
Step-by-step explanation:
The median is the 'middle number.'
In order to find the median of a data set, you must first put the numbers in numerical order.
2, 7, 5, 4, 3
↓
2, 3, 4, 5, 7
The 'middle number' in this data set is 4.
Therefore, the median is 4.
In each of the following, find all real numbers x that satisfy the given equation. If none satisfy the equation, then state the answer as "None."
(25/4)^3x = 32/3125
Answer:
The solution is [tex]x = -\frac{5}{6}[/tex]
Step-by-step explanation:
We solve this question using exponential properties.
We have that:
[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]
Simplifying:
[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]
[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]
[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]
Changing the numerator and denominator in the right side:
[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]
Since both bases are equal:
[tex]6x = -5[/tex]
[tex]x = -\frac{5}{6}[/tex]
The solution is [tex]x = -\frac{5}{6}[/tex]
Answer this question please ASAP!!
A or the first answer shown
Answer:
No it is not close to half of the data below the mean and half the data above the mean
WILL
GIVE BRAINLIST FOR MATH
....
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
20?
Step-by-step explanation:
Answer: 8.9
Step-by-step explanation:
To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]
The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.
So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.
[tex]a^2 + b^2 = c^2[/tex]
[tex]8^2+4^2=c^2[/tex]
[tex]16 + 64 = c^2[/tex]
[tex]80 = c^2[/tex]
[tex]\sqrt{80}[/tex] = c
Use a calculator, and after rounding, you get 8.9
two congruent squares are shown in figures 1 and 2 below
Answer:
Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2
Answer:
The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.
Step-by-step explanation:
I'm right and if you think I'm wrong then you're wrong
A recipe for oatmeal raisin cookies requires 2 eggs for every dozen cookies . Which equation shows the relationship between eggs ( e ) and dozen cookies ( c ) ?
Answer:
2e = c
Step-by-step explanation:
Let :
Egg = e
Cookies = c
2 eggs for every 1 dozen of cookies
This gives the Mathematical expression :
2 eggs = 1 c
2e = c
Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?
Answer:
0
Step-by-step explanation:
Coolin
What is the answer?
Answer:
x^2(x-5)
Step-by-step explanation:
f(x)=x-5
g(x)=x^2
g(f(x)=?
x^2(f(x)=?
x^2(x-5)
If this helps please mark as brainliest
9514 1404 393
Answer:
D. (x -5)²
Step-by-step explanation:
Replace the variable with the function argument.
G(F(x)) = G(x -5) = (x -5)² . . . . . matches choice D
Identify the parts of a sphere,
a is the
bis the
c is the center
d is the radius
diameter
great circle
HELP 50points
Answer:
Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.
Translate (5. – 5) down 3 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?
Answer:
(5, 8)
Step-by-step explanation:
(5. – 5) down 3 units => (5, -8)
reflect x-axis => (5 , 8)
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
Need help urgently difficult but simple math equation if you get it right ill give you brainliest.
Answer:
No.
Step-by-step explanation:
Explanation below.
What is the area of the regular trapezoid below?
- 6 cm
T
8 cm
10 cm
Answer:
Area = 64 cm²
Step-by-step explanation:
To find the area, we have to follow some steps:
=> Step 1: Make the bases similar:
Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:
(6 + 10) / 2
(16) / 2
8
So now that we know our base,
=> Our second step is to multiply the base we found by the height of the trapezoid:
Area = common base * height
Area = 8 * 8
Area = 64 cm²
Hope this helps!
Solve the inequality. Graph the solution
Answer: y>-2 (The symbol has a underline)
Step-by-step explanation:
Since you want to move -4 to the -6 spot, do the opposite of the negative which is positive. So add +4 to each side. And the -4 will disappear and you will be left with y>-6+4. Solve -6+4= -2 And so the answer is y>-2.
Hope this helps
solve for y: -4y + 5 > -15
Step-by-step explanation:
-4y+5>-15
-4y>-15-5
-4y>-20
divide both (-)
4y>20
divide through by 4
y>20/4
y>5
Use OZ with VW – XY
What is XY ?
A 30
B. 35
C. 40
D 50
Answer:
40
Step-by-step explanation:
From the diagram;
VW = 2(20)
VW = 40
Simce VW is similar to XY, hence VW = XY = 40
Hence the length of XY is 40