The equations will be solved by putting the values of the variables in the bracket.
How to calculate the values?1. (b + a) = 4; use a = 1 and b = 3
( 1 + 3) = 4
2) c(b + b); use b = 1 and c = 5
5(1 + 1)
= 5 × 2 = 10
3) 4+ pm; use m = 4 and p =3
= 4 + (4 × 3)
= 4 + 12
= 16
4) 5+ pm; use m = 4 and p = 2
= 5 + (2 × 4)
= 5 + 8
= 13
5) m(p + 2); use m = 5 and p = 2
= 5(2 + 2)
= 5 × 4
= 20
6) h+j²; use h = 1 and j = 4
= 1 + 4²
= 17
7) y-(x - 5); use x = 5 and y = 6
= 6 - (5 - 5)
= 6 - 0
= 6
8) 4xy; use x = 5 and y = 2
= 4 × 5 × 2
= 40
9) n(p + 3); use n = 2 and p = 2
= 2(2 + 3)
= 10
10) y +x+x; use x = 3 and y=5
= 5 + 3 + 3
= 11
11) 6+ a-b; use a = 4 and b = 4
= 6 + 4 - 4
= 6
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Solve this trig identity step by step
The trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ
How to solve the trigonometric identity?
Since (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]
Using the identity a² - b² = (a + b)(a - b), we have
(cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]
= (cos²θ - sin²θ)(cos²θ + sin²θ)/[(1 - tan²θ)(1 + tan²θ)] =
= (cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] (since (cos²θ + sin²θ) = 1 and 1 + tan²θ = sec²θ)
Also, Using the identity a² - b² = (a + b)(a - b), we have
(cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] = (cosθ - sinθ)(cosθ + sinθ)/[(1 - tanθ)(1 + tanθ)sec²θ]
= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)/cosθ × (cosθ + sinθ)/cosθ × sec²θ]
= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)(cosθ + sinθ)/cos²θ × 1/cos²θ]
= (cosθ - sinθ)(cosθ + sinθ)cos⁴θ/[(cosθ - sinθ)(cosθ + sinθ)]
= 1 × cos⁴θ
= cos⁴θ
So, the trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ
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Which pair of expressions is equivalent using the Associative Property of Multiplication?
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
4(2a ⋅ 5) = 8a ⋅ 20
4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answer:
out of 700 full marks dolma obtained 525 marks in an examination express her marks in percent
6) Which statement about the ladder is true?
A. The ladder has parallel line
segments only.
B. The ladder has perpendicular line segments only.
C. The ladder has parallel line
segments and perpendicular line
segments.
D. The ladder has neither parallel line segments nor perpendicular line segments.
The true statement about a ladder is; the ladder has parallel line segments and perpendicular line segments.
Parallel lineParallel lines are lines that never meet on the same plane which have equal distance apart from each other.
Perpendicular lineThey are lines that intersect each other to form a right angle.
Therefore, the ladder has parallel line segments and perpendicular line segments.
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What's the answer? I don't know how to do it.
The required limits for the heads (a), (b), (c) are given by 4, 1, 4 respectively.
[tex]f(x)\left \{ {{4x-3} ,x < 1\atop {3x+1},x\geq 1} \right.[/tex]
What is limit?Limit, can be defined nearby values of a variable at which the function has their exists.
a) [tex]\lim_{x \to 1+\y}3x+1\\[/tex]
⇒ 4
b) [tex]\lim_{x \to -1\y}4x-3\\[/tex]
⇒ 1
c) [tex]\lim_{x \to 1\y}3x+1\\[/tex]
⇒4
Thus, The required value of limits of a, b, c is given by 4, 1 ,4 respectively.
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What is the domain of y = log Subscript 4 Baseline (x + 3)?
Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
Mr Ade's monthly salary is #460 after paying #50 for his house, giving #2 to each 5 children and setting aside #290 for food, how much has he left?
The amount of money left for Mr Ade after deducting his house payment, children allowance and food is #110
Total balanceMr Ade's total salary = #460Amount paid for his house = #50Amount given to each child = #2
Number of children = 5
Total given to his children = #2 × 5= #10
Amount for food = #290Balance left = 460 - (50 + 10 + 290)
= 460 - (350)
= #110
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The width of a rectangle is 13 units less than the length. If the area is 90 square units, then find the dimensions of the rectangle.
If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The width of a rectangle is 13 units less than the length.
If the area is 90 square units.
W = L – 13
Then we have
90 = L(L – 13)
L² – 13L – 90 = 0
L² – 18L + 5L – 90 = 0
L(L – 18) + 5(L – 18) = 0
(L – 18)(L + 5) = 0
L = -5, 18
Then the width will be
W = 18 – 13
W = 5 units
Then the dimension of the rectangle will be 5 units and 18 units.
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QUESTION IS DOWN BELOW 15 POINTS EACH
Answer:
a)
density = mass/volume
density = 320/128
density = 2.5 g/cm3
b)
mass = density x volume
mass = 65 x 26
mass = 1690g
Answer:
a) d = 2.5g/cm3
b) m = 1690g
Step-by-step explanation:
density equals mass between volume
a) [tex]d=320g/128cm^{3} =2.5g/cm^{3}[/tex]
mass equals density by volumen
b)[tex]m=(26g/cm^{3} )(65cm^{3} )=1690g[/tex]
Hope this helps
Giving brainliest :)
Answer:
Your answer should be D. $48,856.11
Step-by-step explanation:
This formula is for Compound Continuously.
[tex]A=P*e^{rt}[/tex]
P = 40,000
e = 2.71...
r = 2.5% = 0.025
t = 8 years
Plug in our variables and solve for the money of the account within 8 years.
A = 40,000*e^(0.025*8)
A = 40,000*e^(0.2)
A = 48,856.11033
A = $48,856.11
How could I use bug repellent and bug bites to show a linear relationship?
Answer:
Make a graph with bug repellent as x, and bug bites as y
Step-by-step explanation:
This just makes the most sense to me, depending on how many people use bug repellent, how many bug bites they get.
According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
What is the standard error for the distribution of sampling proportions? If necessary, round to three decimal places.
The standard error for the distribution of sampling proportions will be 0.0686.
What is standard error for the distribution of sampling proportions?In mathematics, the difference between a data set and the populace's true average is known as primary data deviation from the mean.
According to the National Postsecondary Student Aid Study conducted by the U.S.
Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
Then the standard error for the distribution of sampling proportions will be
[tex]\rm Standard\ error = \sqrt{\dfrac{p(1-p)}{n}}\\\\Standard\ error = \sqrt{\dfrac{0.62(1-0.62)}{50}}\\\\Standard\ error = 0.0686[/tex]
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please help me someone
Help me with this please!! :)
Answer: 26 cards
Step-by-step explanation: Just divide 52 by 2 and you get 26 cards :)
How was the answer of find the square numbers of 5 8 15 30 36 worked out to be 36
Because 6*6 = 36, we conclude that 36 is the only square number.
How to identify the square number?
A square number is a number that is equal to the product of a whole number and itself.
For example, the square numbers are:
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
etc...
From the given numbers: {5, 8, 15, 30, 36}
The only one that belongs to the above list is 36, that is the only square number, so that is the correct option.
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Use the function below to find F(2).
Answer:
Step-by-step explanation:
[tex]F(2)=\frac{1}[3} \cdot 4^{2}=\frac{16}{3}[/tex]
It takes a hose 3 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 10 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 28 inches by 30 inches?
Answer:
73 minutes and 30 seconds
Step-by-step explanation:
I need help because Im losing it
The fraction of the colored part is 10/12 or 5/6. None of the option is correct
Fractions and proportionsFractions are written as a ratio of two integers. From the given question;
3 square divided into4 equal parts will have a total of 12 parts. If Kelly colors 10 parts, the fraction of the colored part will be:
Fraction. = 10/12
Fraction = 5/6
Hence the fraction of the colored part is 10/12 or 5/6
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Question 2 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x-2y=7
3.x-3y = 15
O A. Multiply the top equation by 1/3.
Multiply t
OB. Multiply the top equation by
-3 and the bottom equation by 2.
OC. Multiply the top equation by 3 and the bottom equation by 4.
OD. Multiply the top equation by 3 and the bottom equation by 2.
Answer:
21
Step-by-step explanation:
Round answer to nearest tenth
The time to hit the ground is 1.9 seconds
How to determine the time?The height equation is given as:
d = -16t^2 + h0
A stone thrown from 60 feet has an initial height of 60.
This means that:
h0 = 60
So, we have:
d = -16t^2 + 60
When the stone hits the ground, d = 0
So, we have:
-16t^2 + 60 = 0
Evaluate the like terms
-16t^2 = -60
Divide by -16
t^2 = 3.75
Evaluate the square root
t = 1.9
Hence, the time to hit the ground is 1.9 seconds
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A scale drawing of a new pool is shown above.All the corners are right angles.What is the perimeter of the actual pool?
The lengths are 6in 2 in 5 in and 3 in
A.550 ft
B.800ft
C. 1100 ft
D.1500 ft
PLS EXPLAIN
The perimeter of the actual pool will be option C. 1100 ft.
What is the perimeter?It's the sum of the length of the sides used to make the given figure.
A scale drawing of a new pool is shown. All the corners are at right angles.
The lengths are 6 in, 2 in, 5 in and 3 in.
Perimeter = 6 + 2 + 5 + 3 + 2 + 4
= 22 in
We have given a scale;
1/2 in = 25 ft
So, 1 in = 50 ft
26 in will be
22 x 50 = 1100 ft
Hence, the perimeter of the actual pool will be option C. 1100 ft.
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Which graph represents a reflection across the x-axis of g(x) = (3)x?
The graph we need is [tex]y=-3^x[/tex], which is shown in the attached image.
The question is down below 15 POINTS EACH
also I home school and have permission to post this question
Using proportions, it is found that the ratios are given as follows:
a) 9:196.
b) 27:2744.
c) 3:14.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale factor is of 3:14, hence:
For the area, the ratio is squared, hence: [tex]\left(\frac{3}{14}\right)^2 = \frac{9}{196}[/tex]For the volume, the ratio is cubed, hence: [tex]\left(\frac{3}{14}\right)^3 = \frac{27}{2744}[/tex]For the width, the ratio is kept, hence it is of 3:14.More can be learned about proportions at https://brainly.com/question/24372153
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Matthew picks flowers and sells them to tourists. the function s(t) approximates how many flowers matthew picks per hour. the function w(h) represents how hours per week matthew spends picking flowers. what are the units of measurement for the composite function s(w(h))?
Flowers/week is the unit of measurement for the composite function s(W(h)).
Given that the function w(h) indicates the number of hours per week that Matthew spends picking flowers and the function s(t) approximates how many flowers he collects every hour.
The process of combining two or more functions into one function is known as the composition of functions. The output of the function enclosed in parenthesis becomes the input of the function outside of them in a composition of functions.
Hours of flowers is the unit of function s(t).
Additionally, consider that W(h) denotes the number of hours per week that Matthew spends gathering flowers.
W(h) = hours/week as a unit.
The unit of the composite function s(W(h)) will be = (Flowershours)(hoursweek) = Flowersweek.
Hence, the units of measurement for the composite function s(W(h))where the function s(t) approximates how many flowers Matthew picks per hour and the function w(h) represents how hours per week Matthew spends picking flowers is flowers/week.
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The B737-400 aircraft costs $2948 dollars per hour to operate. The algebraic expression 2948t gives the total cost to operate the aircraft for t hours. Find the total cost to operate the B737-400 for 3.6 hours.
Answer:
The required cost is $10,612.8
Step-by-step explanation:
Find the value at t = 3.6:
2948t, t=3,6
Substitute t=3,6
Multiply 2948x3,6
Solution = 10612,8
(02.04 LC)
Choose the equation of the horizontal line that passes through the point (2, 4).
Oy=2
Ox=2
Oy = 4
Ox=4
Answer:
You're correct
Step-by-step explanation:
Match the type of insurance to the coverage it provides.
1. Insurance that covers the insured only for a specific, stated term, such as ten years
endowment
2. Insurance that covers the insured for life, and for which premiums are paid by the insured until his death
ordinary whole life
3. Insurance that covers the insured for life, for which he only has to pay a certain number of years
limited-payment life
4. Insurance that provides both insurance and savings
term
The answers include the following:
Insurance that covers the insured only for a specific, stated term, such as ten years endowment - Term life insurance Insurance that covers the insured for life, and for which premiums are paid by the insured until his death ordinary whole life - Whole life insurance.Insurance that covers the insured for life, for which he only has to pay a certain number of years - Limited-payment life insurance.Insurance that provides both insurance and savings term- Universal life insurance.What is Insurance?
This is a form of risk management which protects individuals from any form of loss or damage.
Life insurance has different types which are appropriately mentioned and matched above.
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Find cos 0 , help asap
D.
Step-by-step explanation:
because cos0 = b/h
so cos0 = 8/15
Multiply (-3) by (+1,4
The product (-3) * (1, 4) is (-3, -12)
How to multiply the numbers?The expression is given as:
(-3) * (1, 4)
Rewrite the expression as
(-3 * 1, -3 * 4)
Evaluate the product
(-3, -12)
Hence, the product (-3) * (1, 4) is (-3, -12)
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Please help!!! In 2000, the median household income was $41,990. In 2010, it was $49,445. What is the average rate of change in the median household income over this time period?
Answer: 745.50
Step-by-step explanation:
49445-41990=7455
7455/10=745.50
solve the inequality below
Answer:
y >_ - 29/8
Step-by-step explanation: