Answer:
y=5
Step-by-step explanation:
2y+8=18
2y=10
y=5
The value y is 5.
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given equation as:
⇒ 2y + 8 = 18
Substract from 8 both the sides of equation,
⇒ 2y + 8 - 8 = 18 - 8
⇒ 2y = 10
Divided by 2 both the sides of equation,
⇒ y = 5
Hence, the value y is 5.
Learn more about equation here:
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Find the length of y
Answer:
From SOHCAHTOA
Cos17=73/y
y=73/cos17
y=76.34cm
Option B
Find the EXACT shaded Area
Answer:
Step-by-step explanation:
area of sector=πr²/4=π ×6²/4=9 π ft²
area of one triangle= 1/2×6×6=18 ft²
area of three triangles=3×18=54 ft²
area of sector +area of three triangles=54+9 π ft²
area of circle=π×6²=36 π ft²
area of shaded region=36 π-9π-54=27 π-54=27(π-2) ft²
What system of equations is shown on the graph below?
The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5
Please help! I will give Brainliest!
Answer:
p(not L) = 7/8, 0.875, 87.5%
Step-by-step explanation:
8 letters in total
7 are not L
p(not L) = 7/8, 0.875, 87.5%
You went to the barber to get your hair cut. The haircut cost $30. You tipped the barber 20%. How much money did you give the barber for a tip? What is the total amount you paid all together?
Answer:
Tip $6
Total Amount $36
Step-by-step explanation:
20% of $30 is 6
$30 + $6 = 36
Consider the following functions. (See attachment)
Find the area of the region.
Answer:
Area: [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationGraphing FunctionsExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Area - Integrals
Area under a curveArea between 2 curvesIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify functions
[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]
[tex]\displaystyle g(x) = x - 9[/tex]
Step 2: Identify Info
Graph the functions - See Attachment
[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function
[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function
Step 3: Find Area Pt. 1
Set up integrals [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^9_8 {[(x - 9) - \sqrt[3]{x - 9}]} \, dx + \int\limits^{10}_9 {[\sqrt[3]{x - 9} - (x - 9)]} \, dx[/tex]Rewrite integrals [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^9_8 {(x - 9)} \, dx - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \int\limits^{10}_9 {(x - 9)} \, dx[/tex]Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (x^2 - 9x) \bigg| \limits^9_8 - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - (x^2 - 9x) \bigg| \limits^9_8[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{-1}{2} - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \frac{1}{2}[/tex]Subtract: [tex]\displaystyle A = -\int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = -\int\limits^9_8 {(x - 9)^{\frac{1}{3}}} \, dx + \int\limits^{10}_9 {(x - 9)^{\frac{1}{3}}} \, dx - 1[/tex]Step 4: Identify Variables
Identify variables for u-substitution.
u = x - 9
du = dx
Step 5: Find Area Pt. 2
[Integrals] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{-1} {u^{\frac{1}{3}}} \, du + \int\limits^1_0 {u^{\frac{1}{3}}} \, du - 1[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = -(\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^0_{-1} + (\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^1_0 - 1[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(\frac{-3}{4}) + \frac{3}{4} - 1[/tex]Simplify: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integrals - Area between 2 curves
Book: College Calculus 10e
In 1999, 2.2% of all cars in the United States were reported stolen. In a random sample of 400 Nissan Maxima cars that year, 12 were reported stolen. Is this evidence (at the  = 0.05 level) that the theft rate for this model is higher than the national rate?
Answer:
The evidence is not sufficient to suggest that the theft rate of Nissan Maxima cars are higher than national rate
Step-by-step explanation:
The number of cars that where reported stolen in 1999 = 2.2% = 0.022
The number of Nissan Maxima cars in the sample = 400
The number of Nissan Maxima cars that were reported stolen = 12
The level of significance, α = 0.05 level
The critical-z at 0.05 = 5% level = 1.645
The percentage of Nissan Maxima cars reported stolen, [tex]\hat p[/tex] = 12/400×100 = 3%
The test statistic is given as follows;
[tex]z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0 \cdot (1 - p_0)}{n}}}[/tex]
Therefore
[tex]z=\dfrac{0.03-0.022}{\sqrt{\dfrac{#0.022 \cdot (1 - #0.022)}{400}}} \approx 1.0908[/tex]
The test statistic = 1.0908
The p-value P(Z > 1.0908) = 1 - P(Z > 1.0908) = 1 - 0.86214 = 0.13768
Given that the critical-z is larger than the absolute value of the test statistic, the given data is statistically insignificant, we fail to reject the null hypothesis
There is not enough statistical evidence to suggest that the theft rate of Nissan Maxima cars are higher than national rate.
Find all zeros. Choose all answers that apply.
f(x) = -x3 + 4x² + 5x
O A. X = -5
B. X = -1
O C. x = 0
O D. x = 1
Tom is tiling a wall.
He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Work out the cheapest cost for Tom to buy the packs of tiles he needs.
Answer £
Answer:
The correct answer is - £ 40.5 for 3 large packs.
Step-by-step explanation:
Given:
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Solution:
Following combinations are possible for tom to get the tiles he needs:
1. 3 large packs
40*3 = 120 tiles with 25% discount
cost = 18*3 - 0.25*18*3 = 40.5
2. 4 small packs
28*4 = 112 tiles
cost = 14*4 = 56
3. 2 large packs and 1 small pack
40*2 + 28 = 108 tiles
cost = 18*2 + 14 = 50
4. 1 large pack and 3 small packs
40 + 28*3 = 124 tiles
cost = 18 + 14*3 = 60
Thus, the correct answer is - 1st case with three large packs.
Can someone do 11-12?
Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2
Step-by-step explanation:
the only thing youre missing is
radius = diameter / 2
Answer:
78.54 cm squared
Step-by-step explanation:
A=πr^2
Since they only give the diameter, divide the diameter by 2
π*25 = 78.54
Have a good day :)
In the diagram, the sum of the values of r and z is 116.
bo/20
xo
What is the value, in degrees, of y?
Enter a number in the space provided.
Answer: 122 degrees
Step-by-step explanation:
Don’t feel like explaining.
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.
2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:
Answer:
A
Step-by-step explanation:
(Precalc/Trig) Please help! Find the value of this expression (in photo)
Answer:
The exact value is 3
Step-by-step explanation:
1. You simplify the equation by factoring 2 from the first two terms
2. Apply Pythagorean to make the equation 2 * 1 + csc^2(π/5) - cot^2(π/5)
- Then apply Pythagorean again to make the equation 2 * 1 + 1
3. Simplify and you get 3
Hope this helps :)
PLEASE HELP!
can you help me with these math questions im struggling on :,)?
Answer:
Step-by-step explanation:
Multiply by 2
which two integers does √5 go between?
Answer:
The two integers are 2 and 3
Step-by-step explanation:
√5
=2.2
Help me!!!!!!!!!!!!!!!
Answer:
look at the picture i have sent
Answer:
BHM = 64°
x = 16°
Step-by-step explanation:
BHL is 90° and MLH is 26°. This means to find BHM, we have to subtract 26 from 90.
90 - 26 = 64°
BHM = 64°
BHM is also equal to 4x.
So, to find x, divide 64 by 4. (64 = 4x --> 64 ÷ 4 = x)
64 ÷ 4 = 16
x = 16°
1250
€ 125oo
Q8 A taxi company charges £5 standing charge and £1.50 per mile for a journey.
A man travels in a taxi for 12.2 miles.
What is the cost of his journey?
Show your working
Answer:
£23.30
Step-by-step explanation:
First, find the cost from traveling 12.2 miles. Since the cost is £1.50 per mile, multiply 12.2 by 1.5:
12.2(1.5)
= 18.3
Add the standing charge to this:
18.3 + 5
= 23.3
So, the cost of his journey is £23.30
In her assignment, Pat is representing the populations of cities using circles. The area of
each circle is directly proportional to the population of the city it represents.
(a) If a city of population 20 000 is represented by a circle of radius 1.5 cm, what would
be the radius of the circle representing:
(i) City A, population 10 000?
(ii) City B, population 36 500?
(b) Would Pat be able to use a circle to represent a city of population 4 500 000? Explain
your answer.
Answer:
n
Step-by-step explanation:
n
What is 2.785571 rounded to the nearest cent?
marking brainliest
Answer:
2.7
or
2.75
or
2.8
Solve this problem...!
Answer:
a) 66 degrees
b) 32 degrees
Step-by-step explanation:
a) 90+24
=114
180-114
=66 degrees
b) 180-51= 129
x= 129+19
148
180-148
= 32
mark me brainliestt :)) i worked hard
Please help me find DOMAIN/RANGE and the EQATION
Answer:
Domain of the function → (-6, ∞)
Range of the function → (-∞, ∞)
Step-by-step explanation:
Domain of a function is the set of x-values of the function.
Similarly, Range of the function is the set of y-values.
From the graph attached,
Domain of the function → (-6, ∞)
x-values of the function starts from x = -6 (excluding x = -5) and tends to the positive infinity.
Range of the function → (-∞, ∞)
y-values starts from negative infinity and tends to positive infinity.
If you were the number keep 660 times how many times will you likely roll a two or five
Answer:
220
Step-by-step explanation:
a dice has 6 sides
660 divided by 6 = 110
you asked for 2 numbers so
110 times 2 = 220
Can someone please help me on this!!
Answer:
(Look at image)
Step-by-step explanation:
(Also look at image)
R and S are two observation posts on the same horizontal ground as the foot P of a vertical tower PQ The tower is 18m due north of S and 24m east of R. The angle of elevation of Q from S is 35°.Calculate the height PQ.
Answer: [tex]12.6\ m[/tex]
Step-by-step explanation:
Given
Distance of Point S is 18 m from tower
Distance of point R is 24 m form tower
Suppose the height of tower PQ is h
angle of elevation of Q from S is [tex]35^{\circ}[/tex]
from the figure, we can write
[tex]\Rightarrow \tan 35^{\circ}=\dfrac{h}{18}\\\\\Rightarrow h=18\tan 35^{\circ}\\\Rightarrow h=12.60\ m[/tex]
The different kinds of beads Jen is using to make purses come in packages of 4 and 12. What is the least number of each kind of bead Jen can buy to have an equal number of each of the different kinds of beads?
Answer:
You should buy 3 packages of beads that come in packages of 4 and 1 package of beads that come in packages of 12 to have an equal number of each of the different kinds of beads.
Step-by-step explanation:
Since the different kinds of beads Jen is using to make purses come in packages of 4 and 12, to determine what is the least number of each kind of bead Jen can buy to have an equal number of each of the different kinds of beads the following calculation must be performed:
12/4 = 3
4 x 3 = 12
Thus, you should buy 3 packages of beads that come in packages of 4 and 1 package of beads that come in packages of 12 to have an equal number of each of the different kinds of beads.
I need help I’m not totally understand what to do
Answer:
c ------ 1/3(40) ft^3
Step-by-step explanation:
searched the formula for volume of a cylinder
it doesn't let me post pitures
Answer:
me neither!
what's wrong with this app?