Answer:
C. 8 x (2 + 9) = (8 x 2) + (8 x 9)
Step-by-step explanation:
Let's solve to see!
Solve using PEMDAS:
Parenthesis
Exponents
Mulitplication/Division (depending on which one comes first - starting from left to right)
Addition/Subtraction (depending on which one comes first - starting from left to right)
A)
3 x (5 + 1) = 3 + (5 x 1) <== parenthesis first
3(6) = 3 + 5 <== multiply and add
18 = 8
False
B)
5 x (2 + 8) = 10 + 8 <== parenthesis first
5(10) = 10 + 8 <== multiply and add
50 = 18
False
C)
8 x (2 + 9) = (8 x 2) + (8 x 9) <== parenthesis first
8(11) = 16 + 72 <== multiply and add
88 = 88
True
D)
4 + (2 + 9) = (4 + 2) + (4 + 9) <== parenthesis first
4 + 11 = 6 + 13 <== add
15 = 19
False
Therefore, the correct answer is C.
Hope this helps!
What would the monthly payment be for a $5,000 loan with a 6.25% interest rate compounded monthly spread over 60 months? a. $25.31 b. $97.25 c. $217.00 d. $320.95 please select the best answer from the choices provided a b c d
The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
The loan amount is $5000 with a rate of 6.25% over 60 months.
Then the monthly payment (MP) will be
[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]
Then the formula will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
P = $5000
r = 0.0052
n = 60
Then we have
[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]
More about the monthly payment link is given below.
https://brainly.com/question/14064255
A new washing machine is purchase by the hamilton family it cost 324.50 how much will the washing machine cost after 6% sales tax is
applied
Answer:
343.97
Step-by-step explanation:
price of vending machine is 100% = 324.50
100% + 6% sales tax = 106%=1.06
324.50*1.06
343.97
If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
slope: 4/5 is a positive slope
positive slopes rises from left to rightpositive slopes falls from right to leftneither horizontal or vertical.The picture below shows some examples of equation with positive slope.
Answer:
rise from left to right
Step-by-step explanation:
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Positive slope: rise from left to right
[tex]m[/tex] is a positive number
[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]
Negative slope: fall from left to right
[tex]m[/tex] is a negative number
[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]
Zero slope: horizontal line
[tex]m=0[/tex]
[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]
Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)
Infinite slope: vertical line
[tex]m= \infty[/tex]
[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
There is no change in x-values for a vertical line, so:
[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]
We also usually call the slope of this line undefined.
Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)
---------------------------------------------------------------------------------
Attached graph:
Positive slope: black line
Negative slope: blue line
Zero slope: green line
Infinite slope: red line
Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled
Answer:
1/2 anwser is B
Step-by-step explanation:
rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?
it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2
What is the missing value (-15)+18=
Answer:
3
Step-by-step explanation:
(-15) + 18 = 3
We can check our answers by adding 15 to 3 when doing inverse operations.
Answer:
3
Step-by-step explanation:
-15 + 18 = 3
75 ounces 5 pounds which one is greater
Answer:
5 pounds
Step-by-step explanation:
5 pounds is 80 ounces, which is greater then 75 ounces.
100 Points!!!! Please Show Steps!
1. Given f(x)=x^2 - 2 and g(x) =4x + 1 Find
a. f(g(x))
b. g(f(x))
Go from right to left in such function questions
a. f(g(x))
⇒ f(4x + 1)
⇒ (4x + 1)² - 2
⇒ 16x² + 8x + 1 - 2
⇒ 16x² + 8x - 1
b. g(f(x))
⇒ g(x² - 2)
⇒ 4(x² - 2) + 1
⇒ 4x² - 7
Answer:
[tex]f[g(x)]=16x^2+8x-1[/tex]
[tex]g[f(x)]=4x^2-7[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^2 - 2[/tex]
[tex]g(x) =4x + 1[/tex]
[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):
[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]
[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):
[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]
Which value of x makes the following equation true?
2(x + 10) = x + 23
A.
3
B.
23
C.
13
D.
-7
Answer:
[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x, from one side of the equation.
2(x+10)=x+23Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
2(x+10)
2*x=2x
2*10=20
2x+20=x+23
First, subtract by 20 from both sides.
2x+20-20=x+23-20
Solve.
Subtract the numbers from left to right.
23-20=3
2x=x+3
Then, you subtract by x from both sides.
2x-x=x+3-x
Solve.
[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]
Therefore, the correct answer is x=3.Answer:
x = 3Option A is the correct answer .Step-by-step explanation:
In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .
Solution : -
[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]
Step 1 : Solving the parenthesis on left hand side :
[tex]\longmapsto \:2x + 20 = x + 23[/tex]
Step 2 : Subtracting 20 on both sides :
[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]
On further calculations , we get :
[tex]\longmapsto \:2x =x + 3[/tex]
Step 3 : Subtracting x on both sides :
[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]
On further calculations, we get :
[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]
Therefore, value of x is 3 .Now , we're verifying our answer by substituting the value of x in given equation :
2(x + 10) = x + 232 ( 3 + 10 ) = 3 + 232 ( 13 ) = 2626 = 26L.H.S = R.H.SHence, Verified .Therefore, our answer is correct.
#Keep LearningHELP ME WITH THIS NOOOOWWWW
Answer:
A
Step-by-step explanation:
BD = 12
BC = 12/2 => 6
using Pythagoras theorem
AB² = AC² + BC²
AB² = 3² + 6²
AB² = 9 + 36
AB² = 45
AB = √45 (A)
help me PLEASEE i really don’t understand
Geometry math work! help needed please.
Answer:
I decided to use the actual formula this time and got 25.7
Step-by-step explanation:
first we find the length of the arc of bca
360-65
so its 295
then after I use the arc length formula which is
x/360 times 2(pie)r
295/360 times 2(pie)5
295/360 times 31.4159
9267.6983/360 (I multplied 295 and 31.4159)
Then we divide and get
25.743
how many solutions does −5x+12=−12x−12
Which of these is a nonlinear function
Answer:
C. y = 3/x + 1
Step-by-step explanation:
A linear function is, well, a line. The line goes on indefinitely without a stopping point.
In one of these functions, there is a line with a stopping point.
The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.
Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.
Evaluate (1/1000)1/3. Express your answer as a fraction in the simplest form.
1/1000 is a fraction and so is 1/3 1/3 is also a power outside of the parenthesis.
Answer:
1/10
Step-by-step explanation:
(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000
1³ = 1
10³ = 10000
so the answer is 1/10
or think of it like ∛ (1/1000) = 1/10
46. 3 Divided 1. 5 I can't find the answer on this question
Answer:
30.8666666666666...(repeating 6)
Step-by-step explanation:
46.3/1.5=30.8666666666....
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Need help with this
Answer:
6
Step-by-step explanation:
PLS GIVE ME BRAINILIEST!
Can some one help me please I am not understanding this
Answer:
x = (-7.5,0)
y = (0,5.5)
Step-by-step explanation:
y = the vertical line
x = horizontal line
along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers
hope the helps :))
An isosceles right triangle has legs of equal length. If the
hypotenuse is 18 centimeters long, find the length of each leg.
Step-by-step explanation:
hope you have a great day going so far today
Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true? all terms of the expansion are positive. all terms in the expansion are negative. the first term in the expansion is positive. the first term in the expansion is negative.
If the value of n is a positive integer then the first term is always positive. Then the correct option is C.
What is binomial expansion?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.
The binomial expression is given (a – b)ⁿ.
If the value of the n is positive then the condition will be
There is a negative sign between a and b so it is impossible to have all the terms positive as well as negative.
But the first term will always be positive.
More about the binomial expansion link is given below.
https://brainly.com/question/12249986
Answer:c
Step-by-step explanation:
edge 2022 slay
What is the value of y in the solution to this system of equations?
6y + x = negative59
x = negative2y + 9
Answer:
X=-8,Y=-8.5
Step-by-step explanation:
just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.
Simplify the expression
Step-by-step explanation:
here
=(81x^12/3x^3)1/3
=(3^4.x^12/3.x^3)1/3
=(3^4-1.x^12-3)1/3
=(3^3×1/3.x^9×1/3)
=3×x^3
If f(x) = 3x + 5 and g(x) = -2x - 5x+3, find (f + g)(x).
O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8
Answer:
D. (f + g)(x) = -2x² - 2x + 8
Step-by-step explanation:
Given:
f(x) = 3x + 5g(x) = -2x² - 5x + 3Find (f + g)(x):
⇒ [tex]f(x) + f(g)[/tex]
⇒ [tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]
⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]
Combine like terms:
⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]
⇒ [tex]-2x^{2} - 2x + 8[/tex]
Answer: D. (f + g)(x) = -2x² - 2x + 8
Which number of trials will yield an experimental probability that most closely matches the theoretical probability of the event?
A
40
0
20
С
30
D
50
Answer:
D. 50.
Step-by-step explanation:
50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.
area = 756 cm^2
h = 18 cm
a = 39 cm
b = ?
Answer:
given,
area= 756cm^2
h = 18cm
a = 39cm
then,
area = (a+b)h/2
756 = (39+b)18/2
756= 351+9b
756-351= 9b
405 = 9b
405/9= b
b = 45cm
Which function is the inverse of f(x) = 2x+ 3?
[tex]f(x) = y = 2x +3\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x= 2y+3 \\\\\implies 2y = x-3\\\\\implies y = \dfrac{x-3}2\\\\\implies f^{-1}(x)= \dfrac{x-3}2[/tex]
The radius of a circular swimming pool is 7.8 meters. Which is closest to the circumference of this swimming pool?
f 48.98 m g 191.04 m h 24.49 m j 47.76 m
Answer:
F. 48.98 m
Step-by-step explanation:
What is circumference?
The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πdHow does it apply here?
We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.Solving
Step 1: Plug in your values.
[tex]2 * 3.14 * 7.8[/tex]Step 2: Simplify.
[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98Therefore, the correct answer is F. 48.98 meters.
Help pls!!! No links pls and ty <33
A circle has a circumference of 51 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth
Answer:
16.2
Step-by-step explanation:
just divide the circumference by 3.14
Answer:
diameter= 16.2338
Step-by-step explanation:
D = C/π
c means CircumferenceD means diameterπ means pi=> D = 51/3.14
D = 16.2338
D = 16.2
Please help I will give
BRAINLY
a THANKS
and FIVE STARS
Answer:
day 26
Step-by-step explanation:
just multiply the numbers
Answer:
Complete the following statement.Of the three pools described, Model_______ needs the largest amount of water to be completely filled. B A C. 2. See answers.
2 answers
·
1 vote:
Answer: A Step-by-step explanation: It because of The Width and Depth
Missing: ___ ____ drew net pyramid,
Step-by-step explanation:
HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.
What is formula for Correlation of Karl's Pearson (Short-cut Mean Method)?
❥[tex] \huge { \mathfrak{\fbox{ \green{Correlation}}}}[/tex]
[tex]r = \frac{Σ(X-X)(Y-Y)}{\sqrt{Σ(X-X)²} \sqrt{(Y-Y)²}}[/tex]
Where, X-mean of X variable
Y - mean of Y variable