Answer:
x= 6.324555320
Step-by-step explanation:
X^2=40
1. Square root both sides
2. You should be left with x=6.32....
Solution: √40 = x
So basically, you have to find x, which is raised to the power of two. To find that, we'll have to square root 40 because square rooting a number is the opposite of squaring a number
So 40 squared = 6.32455532034
A really long number...
Now, let's check our answer
6.32455532034^2 = 40
So therefore, x = 6.32455532034
Hope this helped!!
Blank______ are pieces of information that have already been collected before the research project starts. Multiple choice question. Sample data Primary data Customer surveys Secondary data
Answer:
Primary Data hope this helps
Step-by-step explanation:
Rita borrowed $7500 at an interest rate of 3%. The interest paid is $1462.50. For how many years did she borrow the money?
Answer: 6.5 years
Step-by-step explanation:
the formula for simple interest is:
SI = PRT, SI is the interest after a time, P is the principle amount, R is the rate, and T is the time passed
In our case:
1462.50 = 7500 x 0.03 x T
Solving for T:
1462.50 = 225T
.: T = 1462.50/225 = 6.5 years
She borrowed the money for 6.5 years
A straight line passes through the points P ( 1 , 2 ) and Q ( 5 , -14 )
(a) What are the coordinates of the midpoint of PQ?
(b) The gradient of PQ is?
Answer:
a) (2,-8)
b) grad=4
Step-by-step explanation:
a) (5-1/2,-14-2/2)
=(4/2,-16/2)
=(2, - 8)
b)grad=-14-2/5-1
=-16/4
=4
What is the quotient of startfraction negative 8 x superscript 6 baseline over 4 x superscript negative 3 baseline endfraction? startfraction x superscript 9 baseline over 32 endfraction 4x9 negative startfraction 12 over x squared endfraction –2x9
The quotient of the provided fractional number is equal to the option D which is,
[tex]-2x^9[/tex]
What is the quotient?Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The fraction given in the problem is,
[tex]\dfrac{-8x^6}{4x^{-3}}[/tex]
Let the quotient of the above function is q. Thus,
[tex]q=\dfrac{-8x^6}{4x^{-3}}[/tex]
In a fraction number, a negative power of a number in the denominator can be written with a positive number in the numerator and vise versa. Thus,
[tex]q=\dfrac{-8x^6(x^3)}{4}\\q=-2x^{6+3}\\q=-2x^9[/tex]
Hence, the quotient of the provided fractional number is equal to the option D which is,
[tex]-2x^9[/tex]
Learn more about the quotient here;
https://brainly.com/question/673545
Answer:
It's D -2x^9
Step-by-step explanation:
Find the value of x.
Answer: 91
Step-by-step explanation:
A TV has a listed price of $728.98 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.
Answer:
$800.06.
Step-by-step explanation:
First you multiply 728.98 by 9.75% which is 71.08. Then you would add the two numbers together which gives you $800.06.
Roderigo has just finished paying back his $8,575 unsubsidized Stafford loan, which he took out to fund his four-year degree. The loan had a duration of ten years and an interest rate of 7. 1%, compounded monthly. Roderigo will allow interest capitalization. If Roderigo made monthly payments to pay off his loan, how much interest did he pay in total? Round all dollar values to the nearest cent. A. $4,547. 02 b. $3,426. 20 c. $7,353. 80 d. $5,436. 20 Please select the best answer from the choices provided A B C D.
Roderigo will pay $7353.80 in interest.
Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.
What is the formula for compound interest?[tex]Amount=p(1+\frac{r}{n} )^{nt}[/tex]
p = 8575
r = 7.1% or 0.071
n = 12
t = 4
Putting the values in formula we get
[tex]Amount=8575(1+\frac{0.071}{12} )^{12(4)}[/tex]
[tex]Amount=8575(1+\frac{0.071}{12} )^{48}[/tex]
Solving this we get;
Amount = $11381.94
For the next part we have EMI formula as,
[tex]EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}[/tex]
p = 11381.94
[tex]r=\frac{7.1}{\frac{12}{100} }=0.005917[/tex]
[tex]n=(12)(10)\\n=120[/tex]
[tex]EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}[/tex]
EMI = $132.74
Now total payments made in 120 months (10 years) =
[tex]132.74(120)=15928.80[/tex] dollars
interest paid =
[tex]15928.80-8575=7353.80[/tex] dollars
Hence, Roderigo will pay $7353.80
To learn more about the interest visit:
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Find the Range of this function.
Answer:
y ≥ -6
Step-by-step explanation:
Hello!
The domain is the interval in which the graph is located vertically on the coordinate plane.
The range is the interval in which the graph is located horizontally on the graph.
Since we are finding the range of the graph, we draw a horizontal line at the lowest point of that graph. We can see that the line is y=-6 because the lowest point given by that horizontal line is -6.
Now that we know that it is the lowest point, we must find the highest point of the graph. Looking at it, we can see that it goes infinitely up, or it continues above -6. This means that the graph hits every horizontal line above -6, or all the values above -6.
The interval would be -6 ≤ y ≤ ∞ (greater than or equal to sign because the graph includes the point) or we can simply rewrite it as all values above -6 or y ≥ -6.
If x = 9 and y = -3, evaluate the following expression: = 6x - 8y
Answer: 78
Step-by-step explanation:
Step 1:
Substitute the variables in:
6(9) - 8(-3)
Step 2:
Multiply to get rid of the parentheses:
54 - -24 = 54 + 24 (the two negatives cancel out)
Step 3:
Add, and then you're done:
54 + 24 = 78
hope this helps :)
Multi-Step Find the angle measures of each inscribed quadrilateral.
10-13 20 points please help
The angle measure of each inscribed quadrilateral is as follows;
10
∠P = 90°
∠R = 90°
∠Q = 140°
∠S = 40°
11.
∠A = 70°
∠C = 110°
∠ B = 115°
∠D = 55°
12.
∠B = 100°
∠D = 80°
∠E = 141°
∠C = 39°
13.
∠V = 101°
∠T = 79°
∠U = 86°
∠W = 94°
Cyclic Quadrilateral
A cyclic quadrilateral has all it vertices on the circumferences of the circle . opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows
10.
5x + 20 + 7x - 8 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 168 / 12
x = 14
Therefore,
∠P = 5x + 20 = 5(14) + 20 = 90°∠R = 90°∠Q = 10x = 10(14) = 140°∠S = 40°11.
4z - 10 + 10 + 5z = 180
9z = 180
z = 20
Therefore,
∠A = 4z - 10 = 4(20) - 10 = 70°∠C = 110°∠ B = 6z - 5 = 6(20) - 5 = 115°∠D = 55°12.
1 / 2 z + 1 / 4 z + 30 = 180
3 / 4 z + 30 = 180
3 / 4 z = 150
3z = 600
z = 600 / 3
z = 200
Therefore,
∠B = z / 2 = 200 / 2 = 100°∠D = z / 4 + 30 = 200 / 4 + 30 = 80°∠E = z - 59 = 200 - 59 = 141°∠C = 39°13.
15y - 4 + 12y - 5 = 180
27y = 180 + 9
y = 189 / 27
y = 7
14 + 4x + 6x - 14 = 180
10x = 180
x = 18
Therefore,
∠V = 15y - 4 = = 101°∠T = 79°∠U = 14 + 4x= 14 + 72= 86°∠W = 94°learn more on quadrilateral here: https://brainly.com/question/9177423
Pls help!
Find the perimeter and area the figure.
last question i Promise! :)
Answer:
Perimeter: 37.4
Area: 74.1
Step-by-step explanation:
Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4
Area is 5.7*13 = 74.1
Let me know if this helped! Brainliest is appreicated <3
At the market, 888 batteries cost \$10$10dollar sign, 10.
How much do 666 batteries cost?
\$
Answer:
$7.5
Step-by-step explanation:
1. Lennox is in NYC and has $10 to get to his destination. The taxi charges $0.75 per mile with
a flat fee of $2.35. How many miles can he travel
Answer:
(10-2.35)/.75 =10.2 miles.
Step-by-step explanation:
Can someone explain this question to me please
Replace x in y in the equation and see if it is true:
5x + 3y = -4
5(-5) + 3(7) = -25 + 21 = -4
(-5,7) is a solution
5(1) + 3(-3) = 5 + -9 = -4
(1,-3) is a solution
Which equation represents this number sentence?
The product of 10 and a number is 3 less than the number
10n= n - 3
10n = 3 -n
10/n =3 - n
10/ = n - 3
Answer:
10n=3-1
solve for N
1
n=5
A stained glass window has the dimensions shown what is the perimeter of the hole that should be cut in the wall in order for the window to be installed
Answer:
The answer is 100 feet.
Step-by-step explanation:
I
I will give brainliest who ever answer this question:) Thank you!
Answer:
2(x-4)+2(2x+5)
Step-by-step explanation:
The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.
Answer:
P = 2(2x+5) + 2(x-4)
Step-by-step explanation:
Perimeter is found by adding all sides
(2x+5) + (2x+5) + (x-4) + (x-4)
Notice there are two sets of sides.
Which of the following is a linear function?
Answer:
[tex]\dfrac13x=y-3[/tex]
Step-by-step explanation:
A linear function is the form: [tex]f(x)=mx+b[/tex]
A quadratic function is any polynomial function where the highest exponent is 2.
A cubic function is any polynomial function where the highest exponent is 3.
A reciprocal function is in the form: [tex]f(x)=\dfrac{a}{bx}[/tex]
[tex]\dfrac13x=y-3[/tex]
[tex]\implies y= \dfrac13x+3[/tex]
Therefore, this is a linear function
Cubic function: [tex]y=x^3+2[/tex]
Quadratic function: [tex]y=6x^2[/tex]
Reciprocal function: [tex]y=\dfrac{2}{3x}[/tex]
PLEASEE HELP!!
Write and equation for this graph in slope- intercept form.
Answer:
-1.25x+2
Step-by-step explanation:
x intercept = 2.5
y intercept = 2
0-y intercept/x intercept-0 = m
0-2.5/2-0 = -1.25
Equation form:
y = m*x+b where b is the y intercept.
m = -1.25
c = 2
To put it all together,
y = -1.25x+2
What is the y-value when x equals-12? y=-200 - 6(x)
Step-by-step explanation:
y= -200 - 72
y= -272
because -a - b = -x
this is a formula
What equation represents this linear equation
Does anyone know the answer for 7 and 8?
Answer:
7) A 8) C
Step-by-step explanation:
number 7 tells us that y=x+1
so we just basically plug it in
2x+3(x+1)=4 Answer: A
to eliminate x's in number 8, we have to multiply one of the equations by -1
let's multiply the second one
4x+3y=6
4x ·-1-y·1=2·-1
4x+3y=6
-4x+y=-2
x's eliminate
4y=4, meaning that the answer is C
In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?
A) a n = 8n − 15
B) a n = −8n − 15
C) a n = 8n − 23
D) a n = −8n − 23
Answer:
C
Step-by-step explanation:
A) a(n) = 8n - 15
this is incorrect because if n = 3, then a = 9 not 1.
B) a(n) = -8n-15
this is incorrect because if n = 3, then a = -39 not 1.
C) a(n) = 8n-23
this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.
D) a(n) = -8n-23
this is incorrect because if n = 3, then a = -47 not 1.
Hope this helps!
Also, please mark me as brainliest!
Solve the equation.
(8x3−9)3=5832
Which expression is equivalent to 7 (a 2) when a = 6? 7 (6) 9 (6) 7 (6) 2 7 (6) 14.
The expression 7(6) + 14=56 will be equal to 7(a + 2) at a = 6
What will be the expression equivalent to 7(a + 2) at a = 6?We have an expression
7(a + 2)
Now at a = 6, its value will be
7 (6 + 2) = 7 × 8 = 56
Now from the given options we can see that
7 (6)=42
9 (6)=54
7 (6) + 2=44
7(6) + 14 = 42 + 14 = 56
Thus the expression 7(6) + 14=56 will be equal to 7(a + 2) at a = 6
To know more about linear expressions follow
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please answer B and C for me, i already know A.
Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
A. What is the probability that the first player does not get a blue character?
B. The first player gets a blue character. What is the probability that the
second player also gets a blue character?
C. Both the first and second players get blue characters. What is the
probability that the third player does not get a blue character?
Answer: B: 4/13, C: 3/4
B:
There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.
C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.
Identify the range of the function shown in the graph
Answer:
a
Step-by-step explanation:
Find the slope and the y-intercept of the graph of the linear equation.
y = -7x+2
[tex]\longrightarrow \sf Slope = -7 [/tex]
[tex]\longrightarrow \sf y-intercept = 2[/tex]
Solution:-The equation of any straight line can be written as in slope intercept form as -
[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]
where,
m is its slope c is its y-intercept.[tex]\leadsto[/tex]Comparing the equation y = -7x+2 with the standard form of the equation, we get -
[tex]\quad[/tex]m= -7[tex]\quad[/tex]c= 2Hence,
slope of y=7x−2 is - 7 y -intercept is 2Guys please help!!!!
If you have exponents in your answer please use ^ for example:
2^3= two to the power of three
Answer:
perimeter=6x+10
area=2x^2+2x-24
Step-by-step explanation:
perimeter=2x+8+x-3+2x+8+x-3
area=(2x+8)(x-3)
Answer and you worlds smartiest.
Answer:
A.
Step-by-step explanation:
By using elimination, you get 0 = 1, which isn't a solution.
Let me know if this helped, brainly is appreciated <3
Answer:
The first answer choice (3x + y = 8 and 3x + y = 9)
Step-by-step explanation:
You can't have 3x + y equal 8 and 9.
It must only be 1 value.