100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
Answers following the rounding instructions: see below for details
BC = 5.1
m∠B = 23°
m∠V = 116°
Step-by-step explanation:
Givens:
AC = 3
AB = 7
m∠A = 41°
Unknowns:
BC = ?
m∠B = ?
m∠C = ?
Find side BC using the law of cosines: c² = a² + b² - 2ab cos(C)
a² = 3² + 7² - 2(3)(7)(cos41)
a = √9 + 49 - 42(cos41)
a = 5.128 ≈ 5.13
side BC = 5.13
Use the law of sines to find m∠B: sin(A) / a = sin(B) / b = sin(C) / c
m∠B = sin⁻¹[sin41/5.13 x 3] = sin⁻¹(0.3837) = 22.56 ≈ 22.6°
Sum of interior angles of a triangle is 180, so now you can find m∠C:
m∠C = 180 - 22.6 - 41 = 116.44 ≈ 116.4°
Rounding side BC to nearest tenth: BC = 5.1
Rounding angles to nearest whole degree:
m∠B = 23°
m∠V = 116°
Related Questions
Help no links Pleaseeeeeee
Answers
Answer:
\(\huge\boxed{z=6;\ x=12.5}\)
Step-by-step explanation:
If two figures are similar, then corresponding sides are in proportion.
Therefore:
\(\dfrac{z}{15}=\dfrac{4}{10}\qquad|\text{cross multiply}\\\\10z=(15)(4)\\\\10z=60\qquad|\text{divide both sides by 10}\\\\\boxed{z=6}\)
\(\dfrac{x}{5}=\dfrac{10}{4}\qquad|\text{cross multiply}\\\\4x=(5)(10)\\\\4x=50\qquad|\text{divide both sides by 4}\\\\x=\dfrac{50}{4}\\\\\boxed{x=12.5}\)
A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
Answers
5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².
Firstly, we will calculate the area of the square of paper in which the holes are punched.
Side of square = 12 cm
Area of square = side²
= (12) ²
= 144 cm²
Now, we will calculate the area of the bigger punch holes
Radius of big punch hole = 3 cm
Area of 1 big punch = π (radius) ²
= 22/7 × (3)²
22 / 7 × 9
= 198 / 7 cm²
Area of 4 punches = 4 × 198/7
= 792/7 cm²
Now, we will calculate the area of smaller punch whose radius is 1cm
Area = 22/7 × 1²
= 22/7 cm²
Now, we will calculate the total area covered by circles
Total area covered by circles = area of small punch + area of 4 big punch
= 22/7 + 792/7
= 814 /7 cm²
Remaining area = area of square - area of circles
= 144 - 814/7
= (1008 - 814) / 7
= 194 / 7
= 27.714 cm²
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g When conducting a one-way ANOVA, the _______ the between-treatment variability is when compared to the within-treatment variability, the __________the value of the F statistic will be which gives us ________ evidence against the null. (Choose all that apply)
Answers
Answer:
One - way ANOVA, the smaller the between treatment
The smaller the value of F statistic will give us significant evidence.
Step-by-step explanation:
ANOVA is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA. It is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA.
One-way ANOVA, the smaller the between treatment
The smaller the value of F statistic will give us significant evidence.
What is ANOVA?It should be the statistical technique that are made for testing the mean for one or more than one quantitative population. In two-way ANOVA it should be equivalent to the block mean. Here the column block represent the square be the three-way ANOVA.
Therefore, One-way ANOVA, the smaller the between treatment
The smaller the value of F statistic will give us significant evidence.
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Write how many tens. Then add.
60+ 10 =
Enter the correct numbers in the boxes.
Tens + tens = tens
Answers
Answer:
60 contain 6 tens
then
60+10
contain
7 tens
the
correct answer
is
7 tens
Answer:
6 tens + 1 ten = 7 tens
Step-by-step explanation:
6 tens = 60
1 ten = 10
7 tens = 70
Median of 8,6,15,12,10,18,16
Answers
Answer:
12
Step-by-step explanation:
Mean 12.142857142857
Median 12
Mode 8, 6, 15, 12, 10, 18, 16
Range 12
Minimum 6
Maximum 18
Count n 7
Sum 85
Quartiles Quartiles:
Q1 --> 8
Q2 --> 12
Q3 --> 16
Interquartile
Range IQR 8
Outliers none
what if f(0)?
12 only
2 and 3 only
-2,-1,1 and 2 only
-2,-1,1,2 and 12
Answers
Answer:
12 only
Step-by-step explanation:
I did the test
Jasmine invests $2,658 in a retirement account with an annual interest rate of 9%
compounded continuously. What will the account balance be after 15 years?
Maria invests $6,154 in a savings account with an annual interest rate of 8% compounded
continuously. What will the account balance be after 10 years?
If $17,000 is invested at a rate of 6.25% per year for 39 years, find the value of the
investment to the nearest penny if the interest is compounded continuously.
If $20,000 is invested at a rate of 6.5% per year compounded continuously, find the value
of the investment at each given time and round to the nearest cent.
(a) 8 months (b) 18 months (c) 21 years (d) 100 years
Joe invests $10,000 in an account that earns 12.3% interest annually. What is the balance
of the account after 8 years?
Answers
If principal is $2,658 and rate of interest 9% then the value of the account balance is approximately $10,253 by using continuous compound interest formula.
What is the Continuous Compound Interest ?Recurring interest is interest calculated on principal plus all interest and other interest. The idea is that lenders always receive interest, not individually at specific times.
The formula for continuous compound interest :
A= Peˣⁿ
Where,
A =Amount of money after a certain amount of time
P= principal or the amount of money you start with
e =Napier's number, which is approximately 2.7183
x =Interest rate
n =Amount of time in years.
Use the continuous compound interest formula :
Given P= 2658
x =9% = = 0.09
n = 15
e = 2.7183
By using
A= Peˣⁿ
A= (2658)(2.7183)⁰°⁰⁹¹⁵
A =10,253 (approximately)
Hence, the value of account balance after 15 years is approximately $10,253
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Ian suffered a loss of 10% when his watch was sold at $90. How much should he have sold his watch if he wanted to make a gain of 20%?
Answers
Explanation:
This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.
Compute the NPV for Project M if the appropriate cost of capital is 7 percent
Answers
Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.
What is the NPV of Project M?The NPV is the present value of the cash inflows less the present value of the cash outflows.
= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow
Solving gives:
= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300
= $465.92
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You save $35 each week. You now have $140. You plan to save enough money for a cruise that costs $1,050. Write and solve an equation to find the number of weeks it will take to save for the cruise.
Answers
Answer:
It will 26 weeks to save for the cruise starting from a balance of $140
(It will take 30 weeks in total, if you start saving from $0)
Step-by-step explanation:
let x = number of weeks
Given starting balance = $140
⇒ 140 + 35x = 1050
⇒ 35x = 1050 - 140
⇒ 35x = 910
⇒ x = 910 ÷ 35
⇒ x = 26
please help me I'm confused .-.
write a compound inequality for each situation
14. Children and senior citizens receive a discount on tickets at the movie theater. To receive a discount, a person must be under 10 years old, or 65 years or older.
15. The scores on the last test ranged from 65% to 100%.
16. Mercury is one of only 2 elements that are liquid at room temperature. Mercury is nonliquid for temperatures less than -38°F or greater than 673.8°F. Write a compound inequality for the temperatures at which mercury in nonliquid.
Answers
Answer:
14)A compound inequality is \(10>x\geq 65\)
15)A compound inequality is \(65\% <x< 100\%\)
16)A compound inequality for the temperatures at which mercury in nonliquid. is \(-38^{\circ} F>x> 673.8^{\circ}F\)
Step-by-step explanation:
14)
Let x be the age of person
We are given To receive a discount, a person must be under 10 years old, or 65 years or older.
So, \(x<10\) or \(x \geq 65\)
So, a compound inequality is \(10>x\geq 65\)
15) Let x be the percentage scored
We are given that The scores on the last test ranged from 65% to 100%.
So,\(65\% <x< 100\%\)
So, a compound inequality is \(65\% <x< 100\%\)
16)
Let x be the temperature
We are given that Mercury is nonliquid for temperatures less than -38°F or greater than 673.8°F
So,\(x< -38^{\circ} F\) or \(x > 673.8^{\circ}F\)
\(-38^{\circ} F>x> 673.8^{\circ}F\)
So, a compound inequality for the temperatures at which mercury in nonliquid. is \(-38^{\circ} F>x> 673.8^{\circ}F\)
Answer:
Too ride the roller coaster, one must be at least 4 feet tall.
Step-by-step explanation:
A car rental company charge $50 a day and 20 cents per mile for renting a car. Let y be the total rental charge (in dollar) for a car for one day and x be the miles driven. The equation for the relationship between x and y is y = 50 + 20x How much will a person pay who rents a car for one day and drives it 100miles
Answers
Answer:$2050.
Step-by-step explanation:
To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:
y = 50 + 20x
y = 50 + 20(100)
y = 50 + 2000
y = 2050
Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.
How are the mean and median affected when the value 5 is included in the data set belo
6, 9, 4, 3, 9, 3
Answers
Answer:
The mean increases and the median changes to 4.
Step-by-step explanation:
To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.
Answer:
5.5 Mean
5 Median
Step-by-step explanation:
6+9+4+3+9+3+5 =5.5
7
Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.
Answers
Answer: He should have 12 lemons left
Step-by-step explanation:
A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is sliding down the wall. When the top end is 6 meters from the ground, it slides down at 2m/sec. How fast is the bottom moving away from the wall at this instant?
Answers
Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is \(\frac{dx}{dt}\) when y = 6 and \(\frac{dy}{dt}=-2\).
The equation for Pythagorean's Theorem is
\(x^2+y^2=c^2\) where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:
\(2x\frac{dx}{dt}+2y\frac{dy}{dt}=0\) and divide everything by 2 to simplify:
\(x\frac{dx}{dt}+y\frac{dy}{dt}=0\). Looking at that equation, it looks like we need a value for x, y, \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\).
Since we are looking for \(\frac{dx}{dt}\), that can be our only unknown and everything else has to have a value. So what do we know?
If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:
\(x^2+6^2=10^2\) and
\(x^2+36=100\) and
\(x^2=64\) so
x = 8.
NOW we can fill in the derivative and solve for \(\frac{dx}{dt}\).
Remember the derivative is
\(x\frac{dx}{dt}+y\frac{dy}{dt}=0\) so
\(8\frac{dx}{dt}+6(-2)=0\) and
\(8\frac{dx}{dt}-12=0\) and
\(8\frac{dx}{dt}=12\) so
\(\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec\)
Solve the quadratic equation given below.
(12x – 27)^2 = 256
Answers
Answer:
x
2
+
12
x
−
64
=
0
⟹
x
2
+
12
x
=
64.
x
2
+
12
x
=
64
⟹
(
4
∗
1
)
(
x
2
+
12
x
)
=
(
4
∗
1
)
64
⟹
4
x
2
+
48
x
=
256
All this is straight forward. This method now requires you to add the square of the original coefficient of x to both sides of the equation.
The original coefficient is 12 so its square is 144.
4
x
2
+
48
x
=
256
⟹
4
x
2
+
48
x
+
144
=
256
+
144
=
400
⟹
4
(
x
2
+
12
x
+
36
)
=
20
2
⟹
2
2
(
x
+
6
)
2
=
20
2
.
Step-by-step explanation:
Answer:
x=43/12, 11/12
Step-by-step explanation:
Displayed is the ordered data of body temperatures, in degrees Fahrenheit, for 65 healthy adult women: 96.4, 96.7, 96.8, 97.2, 97.2, 97.4, 97.6, 97.7, 97.7, 97.8, 97.8, 97.8, 97.9, 97.9, 97.9, 98.0, 98.0, 98.0, 98.0, 98.0, 98.1, 98.2, 98.2, 98.2, 98.2, 98.2, 98.2, 98.3, 98.3, 98.3, 98.4, 98.4, 98.4, 98.4, 98.4, 98.5, 98.6, 98.6, 98.6, 98.6, 98.7, 98.7, 98.7, 98.7, 98.7, 98.7, 98.8, 98.8, 98.8, 98.8, 98.8, 98.8, 98.8, 98.9, 99.0, 99.0, 99.1, 99.1, 99.2, 99.2, 99.3, 99.4, 99.9, 100.0, 100.8
Which value would need to be exceeded for a data point to be considered an outlier when using the 1.5 X IQ R rule?
a. 99,8
b. 100.0
c. 99.6
d. 100.8
Answers
Answer:
54932540-476715.jpeg
A study of stroke patients who survived 6 months after the stroke found that 6/45 men and 22/63 women lived in an institution (e.g., nursing home or assisted living facility). What is the risk difference of living in an institution between men and women (using men as the reference group)?
Data (1=males, 2 =females)
temp sex Heart rate
96.3 1 70
96.7 1 71
96.9 1 74
97 1 80
97.1 1 73
97.1 1 75
97.1 1 82
97.2 1 64
97.3 1 69
97.4 1 70
97.4 1 68
97.4 1 72
97.4 1 78
97.5 1 70
97.5 1 75
97.6 1 74
97.6 1 69
97.6 1 73
97.7 1 77
97.8 1 58
97.8 1 73
97.8 1 65
97.8 1 74
97.9 1 76
97.9 1 72
98 1 78
98 1 71
98 1 74
98 1 67
98 1 64
98 1 78
98.1 1 73
98.1 1 67
98.2 1 66
98.2 1 64
98.2 1 71
98.2 1 72
98.3 1 86
98.3 1 72
98.4 1 68
98.4 1 70
98.4 1 82
98.4 1 84
98.5 1 68
98.5 1 71
98.6 2 77
98.6 1 78
98.6 1 83
98.6 2 66
98.6 1 70
98.6 1 82
98.7 2 73
98.7 1 78
98.8 1 78
98.8 1 81
98.8 2 78
98.9 1 80
99 2 75
99 2 79
99 1 81
99.1 1 71
99.2 1 83
99.3 1 63
99.4 1 70
99.5 1 75
96.4 2 69
96.7 2 62
96.8 1 75
97.2 1 66
97.2 2 68
97.4 2 57
97.6 1 61
97.7 2 84
97.7 1 61
97.8 2 77
97.8 2 62
97.8 2 71
97.9 1 68
97.9 2 69
97.9 2 79
98 2 76
98 1 87
98 2 78
98 2 73
98 2 89
98.1 2 81
98.2 2 73
98.2 2 64
98.2 2 65
98.2 2 73
98.2 2 69
98.2 2 57
98.3 2 79
98.3 2 78
98.3 2 80
98.4 2 79
98.4 2 81
98.4 2 73
98.4 2 74
98.4 2 84
98.5 2 83
98.6 2 82
98.6 2 85
98.6 2 86
98.6 2 77
98.7 2 72
98.7 2 79
98.7 2 59
98.7 2 64
98.7 2 65
98.7 2 82
98.8 2 64
98.8 2 70
98.8 2 83
98.8 2 89
98.8 2 69
98.8 2 73
98.8 2 84
98.9 2 76
99 2 79
99 2 81
99.1 2 80
99.1 2 74
99.2 2 77
99.2 2 66
99.3 2 68
99.4 2 77
99.9 2 79
100 2 78
100.8 2 77
Step-by-step explanation:
help needed TIMED
Will give brainlliest
Answers
Answer:
the answer is 90%
Hope this helps! Good luck
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
Answers
The figure shows a 1300-yard-long sand beach and an oil platform in the ocean. The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees . Find the distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.
Answers
Answer:
y = 3,254.3 yd
Step-by-step explanation:
Lets denote with 'x' and 'y' the distances we need to find.
Using the Law of Sines we can write:
x/(sin 76) = 1175/(sin(180 - (83 + 76))
x/(sin 76) = 1175/(sin 21)
x = 3,181.4 yd
y/(sin 83) = 1175/(sin(180 - (83 + 76))
y/(sin 83) = 1175/(sin 21)
y = 3,254.3 yd
The platform is 3,181.4 yards far from one end of the beach and 3,254.3 yd far from the other.
The distance of the oil platform is 3708.82 yards, from each end of the beach.
Given that,
The figure shows a 1300-yard-long sand beach and an oil platform in the ocean.
The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees.
We have to determine,
The distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.
According to the question,
Let x be the distance of the sand beach,
And y be the distance of oil platform.
The distance of the oil platform of a yard, from each end of the beach, is determined by using the sin rule,
\(\rm \dfrac{x}{sina} = \dfrac{y}{sinb}\\\\ \dfrac{x}{sin76} = \dfrac{1300}{sin(180-(84+76))}\\\\ \dfrac{x}{0.97} = \dfrac{1300}{sin(180-160)}\\\\\dfrac{x}{0.97} = \dfrac{1300}{sin20}\\\\\dfrac{x}{0.97} = \dfrac{1300}{0.34}\\\\ \dfrac{x}{0.97}= 3823.52 \\\\ x = 3823.52 \times 0.97\\\\x = 3708.82\)
Hence, The distance of the oil platform is 3708.82 yards, from each end of the beach.
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Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, and asymptotes. f(x)=-2cot x
Answers
Answer:
(See explanation below for further details)
Step-by-step explanation:
The domain of the function is:
\(x \in \mathbb{R} - \{ \pm \pi \cdot i \}\) for \(i \in \mathbb{N}_{O}\)
The range of the function is:
\(f(x) \in \{-\infty, +\infty \}\)
There are no absolute extrema and such function is not bounded.
Function is symmetric, whose period is π.
Lastly, the set of asymptotes is:
\(x = \pm \pi \cdot i\), for \(i \in \mathbb{N}_{O}\)
Answer:
Step-by-step explanation:
edge
A loan program that has a single ratio of 45% would allow a borrower with $65,000 in annual income and $490 in monthly consumer debt payments to qualify for what principal and interest payment on a home with escrow requirements of $360 monthly?
Answers
As a result, the borrower can qualify for a loan amount of $476,757.76, expression resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.
what is expression ?In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.
To solve this problem, we must use the loan program's single ratio, which is 45%. This is the maximum debt-to-income (DTI) ratio a borrower can have in order to qualify for the loan.
$65,000 divided by 12 months equals $5,416.67 per month
$5,416.67 divided by 45% equals $2,437.50 per month
$2,437.50 minus $360 equals $2,077.50 per month
$2,077.50 minus $490 equals $1,587.50 per month
This means that the borrower can afford a $1,587.50 monthly principal and interest payment.
Loan amount = (Monthly payment) / (Monthly interest rate)
The loan amount is ($1,587.50) divided by the loan term (0.00333)
The loan amount is $476,757.76.
As a result, the borrower can qualify for a loan amount of $476,757.76, resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.
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9a - ab + 5b
if a = 2 and b = 7
Answers
9(2)-(2)(7)+5(7)
18-14+35
39
If the fractions are 1/6 1/3 1/2 and 2/3 what is the rule for the sequence
Answers
Answer:
66
Step-by-step explanation:
dolars per hour
Given the function f(x) = 4/5x^5, find f’(x). Express your answer in simplest form without using negative exponents
Answers
Given:
\(f(x)=\frac{4}{5}x^5\)Required:
\(f\placeholder{⬚}^{^{\prime}}(x)\)\(\begin{gathered} if\text{ }f(x)=ax^n \\ then, \\ f\placeholder{⬚}^{^{\prime}}(x)=anx^{n-1} \\ so^{\prime}, \\ f\placeholder{⬚}^{^{\prime}}(x)=\frac{4}{5}\times5\times x^{5-1}=4x^4 \end{gathered}\)\(f\placeholder{⬚}^{^{\prime}}(x)=4x^4\)If f(x)=x^(2 )+4 then verify (fof^(-1))(x)=(f^(-1) of)(x)=x. (Consider the positive values only)
Answers
Answer:
Step-by-step explanation:
If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
What is a function?A relation is a function if it has only One y-value for each x-value.
Composite functions are when the output of one function is used as the input of another.
If f(x)=x²+4
Then we have to prove f⁻¹of(x)=f⁻¹(f(x)
Let us consider fof⁻¹(x)
f(f⁻¹(x))
x
So (fof⁻¹(x))=x
Now f⁻¹of(x)=f⁻¹(f(x)
=x
Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
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PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
Answers
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?
Answers
Answer:
65 packets and 4 stamps
Step-by-step explanation:
The first thing we see is that the stamps are mixed... which means they must be added.
208 + 186 = 394 stamps total
Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.
394/6= 65.66667
Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.
Now we find the number of stamps left over by multiplying the number of packets by 6.
65 x 6= 390
Now we take the total number of stamps minus the number of stamps in packets.
394 - 390 = 4
Therefore, there are four stamps left over.
Hope this helps!
On the first math exam, 16 students received an A grade. On the second math exam,
12 students received an A. grade. What percentage decrease is that?
Answers
Answer: that four of them are stupid
Step-by-step explanation:
Answer:
25% :D
Step-by-step explanation:
You need a 75% alcohol solution. On hand, you have a 60 mL of a 55% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?
You will need_____ mL of the 85% solution
Answers
60 mL=55% alcohol
?mL=85% alcohol
85×60÷55
=92.727 mL
I think do like this....I'm not sure
Hope this help you
9514 1404 393
Answer:
120 mL
Step-by-step explanation:
Let x represent the amount of 85% solution needed. Then the total amount of alcohol in the mix is ...
0.55(60) +0.85(x) = 0.75(60 +x)
33 + 0.85x = 45 +0.75x . . . . . . . eliminate parentheses
0.85x = 12 +0.75x . . . . . . . . . .subtract 33
0.10x = 12 . . . . . . . . . . . . . . subtract 0.75x
x = 120 . . . . . . . . . . . . . . multiply by 10
You will need 120 mL of the 85% solution.