Answer:
f (x)=11
Step-by-step explanation:
f (x)= x + 8
f (3)= (3 +8)
=f(x) =11
**replace the x with a variable which is 3
At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?
Answer:
$5200
Step-by-step explanation:
Given :
Amount invested, Principal, P = $5000
Interest rate, r = 4% = 4/100 = 0.04
Amount in account at the end of the year, A
period, t = 1 year
Using the relation :
A = P(1 + rt)
A = $5000(1 + 0.04*1)
A = $5000(1 + 0.04)
A = $5000 * 1.04
Amount in account at year end = $5200
Given: APRS, RS=10
mZP=45º, mzS=600
Find: Perimeter of APRS
Answer:
Perimeter of ΔPRS = 35.91 units
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in the given triangle PRS,
m∠P + m∠R + m∠S = 180°
45° + m∠R + 60° = 180°
m∠R = 75°
By applying sine rule,
[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]
PR = 12.25 units
[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
PS = 13.66 units
Perimeter of triangle PRS = PR + PS + RS
= 12.25 + 13.66 + 10
= 35.91
A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice
Answer:
80/243
or
.329218107
Step-by-step explanation:
This is a binomial distribtuion
THe probability of red= 1/3
the probability of not red= 2/3
Probability of getting exactly 2 reds in 5 spins
[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]
or
80/243
Can someone help me with this task please? !!
Answer:
69
Step-by-step explanation:
Answer:
1: (B)
2: (C)
3: (D)
4: (D)
5: (A)
Step-by-step explanation:
Question 1:
Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.
Question 2:
The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.
Question 3:
From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.
Question 4:
It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.
Question 5:
The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.
Hope this helps (●'◡'●)
Solve system by elimination -9x - y =-19
5x + y = 15
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
Guided Practice
You drop a handball from a height of 100 centimeters. Each curved path has 64% of the height of the previous path.
Write a rule for the sequence using centimeters. The initial height is when n = 1.
What height will the ball reach at the top of the sixth path?
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
B.
an=0.64 · (100)n−1a subscript n baseline equals 0.64 times left parenthesis 100 right parenthesis superscript n minus 1 baseline; about 0.11 cm
C.
an=1 · (0.64)n−1a subscript n baseline equals 1 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; 6,400,000,000 cm
Answer:
The correct choice is (A)
Answer:
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
Step-by-step explanation: I got it off of the internet
Step 1 of 1
In geometric sequence, the ratio between two consecutive terms is constant. This ration is called the common ratio.
Consider the following sequence:
Thus the common ratio of the sequence is .
...............................................................................................................................................
You drop a handball from a height of 1 meter. Each curved path has 64% of the height of the previous path. A. A(n)= 100*(0.64)^n-1
What values complete the table if y = x√3
x
3
?
Answer:
O . A) -3, 0 , 3
Step-by-step explanation:
Since y is equal to
[tex] \sqrt[3]{x} [/tex]
Just replace X with the values in the first box
Find the volume of this sphere please.
As soon as possible…
Answer:
32cm^3
Step-by-step explanation:
(4/3)*3*(2)^3=32
Describe how the rate of change and initial value of the linear function are represented in the graph of the function
Answer:
c on edge
Step-by-step explanation:
which describes a greater unit rate of change of Y with respect to X the equation Y = 4.5x or the table
Answer:
The proportional relationship is same
Step-by-step explanation:
Generally, we can get the unit rate by dividing the y-value by the x-value
This will be;
9/2 or 18/4 or 27/6 = 4.5
from what we have y = 4.5x
Now, as we can see, the proportional relationship is same
Need help please!
(5^3)^6
Answer:
[tex]5^{18}[/tex]=3,814,697,265,625
Step-by-step explanation:
Multiply the exponents
3×6=18
[tex]5^{18}[/tex]
Answer:
Simplest value of given expression = 5¹⁸
Step-by-step explanation:
Given algebraic equation;
[5³]⁶
Find:
Simplest value of given expression
Computation:
Given fraction [5³]⁶
Using Property of exponents
[Xᵃ]ᵇ = X ᵃ ˣ ᵇ
So,
Using Property of exponents
⇒ [5³]⁶
⇒ 5 ³ ˣ ⁶
⇒ 5¹⁸
Simplest value of given expression = 5¹⁸
3 to the power 10=
Pls answer fast
The answer is 59049.
Kuaaahahahahahahahah!
Instructions: Find the measure of the indicated angle to the nearest degree.
Step-by-step explanation:
I don't have a calculator with me right now but I can give you the equation to work out your answer.
cos-1(35/38)
There should be a function of "cos-1" on you're calculator, not just "cos"
hope it helps :)
How many solutions does 8x=−9+7x have?
Answer:
The equation has only one solution, x = -9
Step-by-step explanation:
We want to find how many solutions the equation:
8x = -9 + 7x
has.
To find it, let's simplify the equation.
First, let's move all the terms with x to the left side, and the terms without x to the right side:
8x - 7x = -9
(8 - 7)*x = -9
1*x = -9
x = -9
So we can see that we have only one solution, x = -9
Please help me please!!
Answer:
Extracting out that inner right angle.
Hypotenuse = 8
Height = h
Adjacent :
[tex] = \frac{10}{5} = 2[/tex]
Height, h :
[tex]{ \tt{h = \sqrt{ {8}^{2} - {5}^{2} } }} \\ { \tt{h = \sqrt{64 - 25} }} \\ { \tt{h = \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units[/tex]
Which equation justifies why ten to the one third power equals the cube root of ten?
Answer:
Step-by-step explanation:
AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.
Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.
Find the cost of 5¾ m of cloth at rupees 42½ per metere
Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m
Cost of cloth per m = ₹42¹/2 -> ₹42.5
Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375
Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375
Answer:
Answer given below
Step-by-step explanation:
[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4
= 23/4 m
[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2
= 85/2 rupees
cost of 1 meter cloth = 85/2
cost of 23/4 meter cloth = 85/2 * 23/4
= rupees 1955/8
= [tex]244 \frac{3}{8}[/tex] rupees
i need help
measure of each labeled angle
Answer:
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]
[tex]\sf m\angle B = 2x = \bf 80^o [/tex]
[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]
Step-by-step explanation:
A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,
[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]
Substitute the given values ,
[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]
Simplify the RHS by adding the variables ,
[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]
Add 20° to both sides ,
[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]
Add the numbers in RHS ,
[tex]\sf\longrightarrow 5x = 200^o [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]
Therefore ,
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex] [tex]\sf m\angle B = 2x = \bf 80^o [/tex] [tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]There are 52 cards in a standard deck. Thirteen of those cards are spades . The deck is shuffled and a group of 3 cards is dealt . How many different combinations of three spades are possible ?
Answer:1716
Step-by-step explanation:
13 spades is choice 1
13-1=12
12 spades are left in the draw to be taken so 13*12
12-1=11
11 spades are left so 13*12*11
(x-1)(x-2)(x-3)(x-4)(x-5)=0
Answer:
x=1, x=2, x=3, x=4, x=5
Step-by-step explanation:
set each expression in the parenthesis equal to 0 to solve for the roots
Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did Sam buy the electric iron
Answer:
$2475 or $1875
Step-by-step explanation:
Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475
However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625
$2500-$625= $1875
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and
determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3
Answer:
Table (C)
Step-by-step explanation:
Given equation of the parabola is,
f(x) = 9x² + 5x + 3
By comparing this equation with,
f(x) = ax² + bx + c
a = 9, b = 5 and c = 3
Since, leading coefficient (a) of the function is positive,
Parabola will open upwards.
For y-intercept,
Substitute x = 0 in the equation,
f(0) = 9(0)² + 5(0) + 3
f(0) = 3
Therefore, y-intercept is (0, 3).
Table (C) is the answer.
The cost of a book is $x what is the expression in terms of x for the number of these books which are bought for $40
Answer:
In x dollars,
number of book that can be bought = 1
So, In 1 dollar,
number of books that can be bought = 1/x
Hence in 40 dollars,
number of books that can be bought = 40/x
Answer:
40/x
Step-by-step explanation:
The cost of 1 book is $X.
You bought (?) books for $40.
If you want to know how many books you bought, divide the total cost of books ($40) by the cost of 1 book ($X).
Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
Answer:
B
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
x² + 49 = 0 ( subtract 49 from both sides )
x² = - 49 ( take the square root of both sides )
x = ± [tex]\sqrt{-49}[/tex] = ± 7i
Solutions are x = - 7i, x = 7i
H I wanted to ask if that in high school math is harder than middle school?
Answer:
Yes, it is harder.
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
which of the following choices evaluates 2f^2 + (h-g)^3 when f=2, g=3, and h=4
a: 11
b: 3
c: 9
Two numbers are in the ratio 2:3 and their sum id 45 then find both number
Answer:
Step-by-step explanation:
Let the two numbers be 2x and 3x.
According to the question,
2x+3x=45
5x=45
x=45/5
x=9
so th required numbers are 18 and 27 as
2x=2*9=18
3x=3*9=27
It is given that,
→ Two numbers are in the ratio 2:3.
→ Their sum is 45.
We have to,
find the both required numbers.
Now assume numbers as,
→ 2y and 3y
As per the given information,
→ 2y + 3y = 45
First we can find the value of y,
→ 2y + 3y = 45
→ 5y = 45
→ y = 45/5
→ [y = 9]
The given ratio is,
→ 2 : 3
Let's find the value of 2y,
→ 2y --- {y = 9}
→ 2 × (9)
→ 18
Let's find the value of 3y,
→ 3y --- {y = 9}
→ 3 × (9)
→ 27
Hence, the number is 18 and 27.
The multiplicative inverse of -3/11 × 1/5 is
Answer:
-55/3
Step-by-step explanation:
-3/11 x1/5
-3/55
Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]
=> -55/3
Anyone knows the answer?
Answer:
D) (2,-1)
Step-by-step explanation:
These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 36m2. He knows that the base must be 1 less than 2 times the height. Find the equation that correctly shows the area of the triangle.
A. x(2x - 1) = 36
B. 1/2x(2x - 1) = 36
C. 1/2x(2x - 1) = 18
D. x(2x - 1) = 18
Answer:
Equation for area = 36 = [1/2]x[2x - 1]
Step-by-step explanation:
Given:
Area of triangle = 36 m²
Length of base = 2(Height) - 1
Find:
Equation for area
Computation:
Assume;
Height = x
Area of triangle = (1/2)(b)(h)
36 = (1/2)[2(x) - 1][x]
36 = [1/2]x[2x - 1]
Equation for area = 36 = [1/2]x[2x - 1]
