Answer:
x = 6 m
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here A = 60, h = 8, a = 9 and b = x , thus
[tex]\frac{1}{2}[/tex] × 8 × (9 + x) = 60, that is
4(9 + x) = 60 ( divide both sides by 4 )
9 + x = 15 ( subtract 9 from both sides )
x = 6 m
what are the solutions of 2x^2 +16+34=0?
Answer:
5i, and - 5i ⇒ ± 5i
Step-by-step explanation:
We are given the equation 2x^2 + 16 + 34 = 0;
2x^2 + 16 + 34 = 0 ⇒ subtract ( 16 + 34 ) from either side of equation,
2x^2 = - 50 ⇒ divide either side by 2,
x^2 = - 25 ⇒ take square root on either side of equation,
| x | = √ - 25 ⇒ apply imaginary value i,
± 5i, provided absolute value sign | |;
Solution; ± 5i
2 Points
What type of mortgage has regular mortgage payments that are expected for
a set period of time, and at the end of that period, the remainder of the loan is
due, but the final payment is much larger than the regular mortgage
payments and is due at one time?
A. Hybrid ARM
B. Balloon payment
C. ARM
D. Balloon mortgage
Answer: Balloon Mortgage
Answer: Balloon Mortgage
Step-by-step explanation:
The type of mortgage described in the question is a "Balloon Mortgage." Option D.
What is a balloon mortgage?A balloon mortgage is a loan with regular mortgage payments over a set period, typically ranging from 5 to 7 years, but at the end of this term, the remaining balance (the "balloon" payment) becomes due in one large installment.
This final payment is significantly larger than the regular mortgage payments made throughout the loan term. Borrowers often use this type of mortgage when they expect to refinance or sell the property before the balloon payment is due.
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Find the midpoint of (4,-1) and (2, -7).
So the right answer is (3,-4).
Look at the attached picture
Hope it will help you
Good luck on your assignment..
What percent of 1/3 of 1000
PLS HELP I NEED IT RN WILL MARK THE BRAINLIEST PLSLSPSophie invests a total of $4500 in two separate accounts. One account pays 4% interest per year and the other one pays 4.75% per year. If the total interest earned at the end of one year is $202.50, how much money did she invest in each account?
Answer:
4% account - $1500
4.75% account - $3000
Step-by-step explanation:
x = amount of money in the account that pays 4% interest
y = amount of money in the account that pays 4.75% interest
x + y = 4500
0.04x + 0.0475y = 202.50
4x + 4y = 18000
4x + 4.75y = 20250
4x + 4y = 18000
- (4x + 4.75y = 20250)
= -0.75y = -2250
y = 3000
x + 3000 = 4500
x = 1500
I hope this helps!
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
A. No solution
B. X= 2, y=4
O C. x = 1, y = 2
D. More than 1 solution
Answer:
no solution
Step-by-step explanation:
Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?
Answer:
it opens down meaning it has a maximum instead of a minimum. the graph has a horizontal shift of 3 spaces to the right
Step-by-step explanation:
tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cash inflow? (Assume this is her only source of income and that there are 4 pays per month
Answer:
her monthly would be $624
Step-by-step explanation:
this is because 8 dollars an hour times 25 hours in 200$ a week
that multiplied by 0.78 (which is how you take off 22 percent) would give you 156.
156$*4 is 624$
I hope this helps a little better
Answer:
its b
Step-by-step explanation:
took the test thank me later <3
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 427
2 units
4 units
8 units
16 units
Answer:
8 unit
Step-by-step explanation:
i tkink (x+5)2+(y-3)2=427
Points G and H are located at (15,7) and (-9,7) on the coordinate plane.
What is the distance between the two points?
A. 6 units
B. 8 units
C. 14 units
D. 24 units
Answer:D
Step-by-step explanation:
Simplify: -5g + 2h - 3g + g -2h
Answer: The answer is -7g
Step-by-step explanation:
-5g+2h-3g+g-2h
-5g+2h-3g+g-2h
=-7g+2h-2h
=-7g
2
How many anagrams can you form with the word ESTADÍSTICA?
1,852,538
956,325
O2,494,800
35,198,000
879,100
Answer:
The number of anagrams of the word ESTADÍSTICA is 2,494,800
Step-by-step explanation:
Here we have ESTADÍSTICA which has 11 letters
2 As, 2 Ss, 2Ts, 2 Is 1 E, 1 D, and 1 C which gives 11 factorial possible ways out of which 2! × 2! × 2! × 2! are repetitions
Hence we have;
[tex]\frac{11!}{2! \times 2! \times 2! \times 2!} = 2494800[/tex]
Therefore, there are 2,494,800 anagrams of the word ESTADÍSTICA.
Answer:
They are 2,494,800 anagram in the word ESTADISTICA
Step-by-step explanation:
To find how many anagram that can be made from the word "ESTADISTICA" means to find how many possible ways the word can be arranged.
STEP 1: The word "ESTADISTICA" has 11 letter in it therefore it has 11!
STEP 2: They are some letter that occurs twice in the word "ESTADISTICA". Which are letter S, T, A, and I. The letters that occurs twice be represented as the denominator as 2!.
Therefore we have 2! × 2! × 2! × 2!
STEP3 : The number of anagram that can be formed with the word ESTADISTICA is
11! ÷ (2! ×2! × 2! × 2!)
11! = 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 39916800
(2! ×2! × 2! × 2!) = (2×1) × (2×1) × (2×1) × (2×1) = 16
Therefore;
39916800 ÷ 16 = 2494800
The word ESTADISTICA can form 2494800 anagrams. In other words it can be rearranged in 2494800 ways.
I dunno how to do it
Answer:
PART 1
1.true
2.not true
3.true
4.not true
5.not true
6.true
7 true
8.not true
9.Not true w=8
10.true
11.true
12.not true j=9
13 not true a=4
14 not true y=6
15.not true b=6
16 true
Step-by-step explanation:
1.true
2.not true
3.true
4.not true
5.not true
6.true
7 true
8.not true
9.Not true w=8
10.true
11.true
12.not true j=9
13 not true a=4
14 not true y=6
15.not true b=6
16 true
Plez help, i am too dumb to understand math
Answer:
y+6 = 7/3(x-1)
Step-by-step explanation:
The point slope form of the equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -6 = 7/3( x -1)
y+6 = 7/3(x-1)
Answer:
D
Step-by-step explanation:
The general form of a line in point-slope form is y-k=m(x-h), where k is the y coordinate any point on the line, h is the x coordinate, and m is the slope of the line. Therefore, the equation of this line would be y+6=7/3(x-1), or choice D. Hope this helps!
What's the eleventh term of a sequence with an explicit rule of ƒ(n) = 2 + 3(n – 1)?
Question 16 options:
A)
ƒ(11) = –31
B)
ƒ(11) = 32
C)
ƒ(11) = 23
D)
ƒ(11) = –22
Answer:
B. F(11) = 32
Step-by-step explanation:
From the explicit equation,
F(n) = 2 + 3(n - 1)
F(11) = 2 + 3(11 - 1)
F(11) = 2 + 33 - 3
F(11) = 35 - 3
F(11) = 32
The 11th term of the sequence with an explicit rule is 32
Please I need help with this question.
No 22. Is very important.
Thank you.
Answer:
C. [tex]132m^3[/tex]
Step-by-step explanation:
Height = 4
Length = 6
Breadth = 7
Note : We were asked to find volume of the cuboid
Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.
Step 1
Find the area of the trapezium
Area of a trapezium = [tex]\frac{1}{2} (a+b)h[/tex]
[tex]\frac{1}{2} (4+7)*4[/tex]
[tex]\frac{1}{2} (11)4\\[/tex]
[tex]\frac{1}{2} *44\\= 22[/tex]
Step 2
Calculate the volume of the cuboid
Volume of a cuboid =length× breadth × height
In this case , the volume will be our length × Area of a trapezium
V= 6 × 22
V = [tex]132m^3[/tex]
A square is cut into three equal rectangles. How does the area of the square compare to the sum of the areas of the three rectangles?
A) sum of the areas of the rectangles equals the area of the square
B) area of the square is 3 times the sum of the area of the rectangles
C) sum of the areas of the rectangles is 3 times the area of the square
D) sum of the areas of the rectangles is
Answer:
B. area of the square is 3 times the sum of the area of the rectangles
What is the reflection of point P(-1, 6) across the line y = x?
A) P(-6, 1)
B) P(-6, -1)
C) P(6, -1)
D) P(6, 1)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
P(- 1, 6 ) → P'(6, - 1 ) → C
Solve for y
C
(6x + 6)
(5y + 10)
Enter your answer in the box.
y =
В
Answer:
The answer is 10!
Step-by-step explanation:
Hence, the answer is [tex]10.[/tex]
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equations are
[tex]6x+6=0\\5y+10=0[/tex]
Now, compare both of them
[tex]6x+6=5y+10\\\\6x-5y=10-6\\\\6x-5y=4\\\\6x=4+5y\\\\x=\frac{4}{6}+\frac{5y}{6}\\\\x=\frac{2}{3}+\frac{5y}{6}\\\\[/tex]
When, [tex]y=0[/tex]
[tex]x=\frac{2}{3}[/tex]
Now when [tex]x=\frac{2}{3}[/tex], then
[tex]\frac{2}{3}=\frac{2}{3}+\frac{5y}{6}\\\\\frac{5y}{6}=0\\\\y=0[/tex]
Put [tex]x=\frac{2}{3},y=0[/tex] in the given equation
[tex]6x+6=6(\frac{2}{3})+6\\\\=2(2)+6\\\\=4+6\\\\=10[/tex]
[tex]5y+10=5(0)+10\\\\=10[/tex]
Hence, the answer is [tex]10.[/tex]
To know more about the equation
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Rita had a roll of film developed for $7.38. Her flash wasn't working so only 9 pictures turned out. How much did each picture cost her?
A.
$16.38
B.
$1.64
C.
$0.82
D.
$66.42
Answer:
D. $66.42
Step-by-step explanation:
If I'm correct (which I highly doubt...)
You multiply 7.38 and 9
That should give $66.42
Sorry if I'm wrong...
And if I'm wrong, my second option would be C. $0.82
A local diner purchased a jukebox for 9400. The business makes a down payment of 1000 and agrees to pay 36 payments of 275 per month find the finance charge.
Answer:
Finance charge = $1500
Step-by-step explanation:
Cost price of jukebox = $9400
Down payment made by a local diner = $1000
Balance amount to be paid = 9400 - 1000 = $8400
In order to pay the balance amount diner agreed upon the installments = $275 per month for 36 months
Total amount to be paid in 36 months = 275 × 36 = $9900
So extra payment done = Total balance amount - Amount paid in 36 installments
= 9900 - 8400
= $1500
Therefore, finance charge paid by the diner was $1500.
Y= f(x)= (3/8)^x
Find f(x) when x=2 show your work
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
Given
f(x) = [tex](\frac{3}{8}) ^{x}[/tex] then
f(2) = ([tex]\frac{3}{8}[/tex] )² = [tex]\frac{3^2}{8^2}[/tex] = [tex]\frac{9}{64}[/tex]
The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
used to find the two numbers and solve it.
Answer:
The numbers are 4 and 6
Step-by-step explanation:
Let
x------> be the first positive even integer
x+2---> be the second positive even integer
we know that the solution is a positive value
The numbers are 4 and 6
Hope this helps!
stay safe
PLEASE ANSWER!! I WILL GIVE BRAINIEST TO WHOEVER ANSWERS THIS FIRST!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the area of the figure?
An irregular shape that is made of two rectangles end to end that are eight inches long each and four inches wide. The total length of the base is sixteen inches. With two right triangles on top of the rectangles so the right angles meet the sides of the rectangles. The total length of each side with the width of the rectangle and the side of the triangle is seven inches.
A. 88 square inches
B. 96 square inches
C. 120 square inches
D. 80 square inches
Answer:
d
Step-by-step explanation:
:)
express in meters 8.45km and 7896 cm
Answer:
8.45km= 8450 meters
7896 cm= 78.96 meters
Step-by-step explanation:
km x 1000 = m
cm x .01 = m
If the solutions of a quadratic equation are x = 7 and x = -5 write the possible trinomial these solutions could have derived from.
Find the equation of the line. Use exact numbers.
Answer: [tex]y=4x-9[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
I know b is -9 because there's where the line crosses the y intersection.
[tex]y=mx-9[/tex]
To find ''m'', we can use 2 different methods. I'm going to use one that follows a formula. First, locate two points in the graph.
[tex](0,-9);(3,3)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{3-(-9)}{3-0}\\ m=\frac{3+9}{3}\\ m=\frac{12}{3}\\ m=4[/tex]
[tex]y=4x-9[/tex]
In the figure, b and c are parallel lines. Which of the following statements are true?
1.Joe claims the measure of angle 3 is equal to 90 degrees.Is he correct?why or why not
2.state the measure of angle 5 and how you know
Thank you!
Answer:
1. No, Joe is not correct
2. [tex]\angle 5=72^{\circ}[/tex]
Step-by-step explanation:
Given: b and c are parallel lines
To find:
1. whether the given statement is correct or not
2. [tex]\angle 5[/tex]
Solution:
1.
Sum of two angles that form a linear pair is equal to [tex]180^{\circ}[/tex]
[tex]\angle 3+72^{\circ}=180^{\circ}[/tex] (linear pair)
[tex]\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}[/tex]
So, Joe is not correct
2.
If two lines are parallel then alternate interior angles are equal.
As b and c are parallel lines,
[tex]\angle 5=72^{\circ}[/tex] (alternate interior angles)
Find the equation of the circle with center at (-1, 3) and radius of 4.
a. (x-1)2 + ( + 3)2 = 4
c. (x - 1)2 + (y+ 3) = 16
b. (x + 1)2 + (0 - 3)2 = 4
d. (x + 1)2 + (y - 3)2 = 16
Please select the best answer from the choices provided
1. Scientists randomly select ten groups from a population of men over 50 years old. They calculate the mean
weights of each of these groups. The variability between these means can be best attributed to
(1) measurement variability
(3) induced variability
(2) natural variability
(4) sampling variability
Answer:
Step-by-step explanation:
Sampling Variability
Hope that helped! :)