Answer:
This is called the binomial square. It is stated as: the square of the difference of two binomials (two unlike terms) is the square of the first term plus the second term minus twice the product of the first and the second term.
18 push-ups in 3 days = push ups per day
Answer:
6 pushups
Step-by-step explanation:
Answer:
6 push ups per day.
Step-by-step explanation:
question asks = how many pushups in one day?
18 divided by 3 is 6.
Kevin Parker expects that you hand wash each coffee pot before Dutch Bros opens. You
spend 18 minutes cleaning them. It takes you 4 1/2 minutes to clean each one. How many
coffee pots are there?
Step-by-step explanation:
18 minutes in total.
4 1/2 minutes per pot.
so, all we need to do is find out how often 4 1/2 fits into 18. that is what division is for.
18 / (4 1/2)
4 1/2 = 2×4/2 + 1/2 = 8/2 + 1/2 = 9/2
18 / 9/2 = 18/1 / 9/2 = 2×18 / 9×1 = 36/9 = 4
there are 4 coffee pots.
3) What is the shape of the graph of the equation y = 5x – 2?
Answer:
LineStep-by-step explanation:
The equation y = 5x - 2 is slope-intercept form of linear function.
The shape of the graph is the lineIt has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane
What happen when you multiply a number by it's reciprocal?
Answer:
When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .
1. In science class, you learned about converting temperatures between degrees Celsius (°C) and Fahrenheit (°F), but recently you could not find a reference with the correct formulas. You then remembered that the relationship between °F and °C is linear.
a. Using this and the knowledge that 32 °F = 0 °C and 212 °F = 100 °C, find an equation that computes Celsius temperature in terms of Fahrenheit; i.e. an equation of the form C = “an expression involving only the variable F.”
b. Analogously, find an equation that computes Fahrenheit temperature in terms of Celsius temperature; i.e. an equation of the form F = “an expression involving only the variable C.”
The two relations to change the units of temperatueres are:
a) C = (5/9)*(F - 32°)
b) F = (9/5)*C + 32°
How to relate the temperature in Celsius and Fahrenheit?We start knowing that:
32°F = 0°C
212°F = 100°C
Taking the difference we can get the relation:
212°F - 32°F = 100°C - 0°C
180°F = 100°C
1.8°F = 1°C
(9/5)*F = 1°C
Then the relation to go from Farhenheit to Celcius is:
C = (5/9)*(F - 32°)
b) To get the other relation, we just need isolate F in the above one, so we get:
C = (5/9)*(F - 32°)
(9/5)*C = F - 32°
(9/5)*C + 32° = F
Then the other relation is:
F = (9/5)*C + 32°
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Help this is due today!!!!!
Answer:
D
Step-by-step explanation:
-1/2m=-18
m=36
answer is D
Answer:
m = 36
Step-by-step explanation:
\(\frac{1}{3} m+3-\frac{5}{6}m=-15\)
Combine like terms:
\((\frac{1}{3} m+(-\frac{5}{6}m)\)
\((\frac{2}{6} m+(-\frac{5}{6}m)\)
\(-\frac{3}{6}m = -\frac{1}{2} m\)
\(-\frac{1}{2}m+3=-15\)
Subtract 3 from each side:
\(-\frac{1}{2}m=-18\)
Multiply each side by -2:
\(m = 36\)
What is the distance between the points (2, -3) and (-6, 4) on the coordinate
plane?
A. 4.12 units
B. 3.87 units
C. 10.63 units
D. 8.06 units
Answer:
C) 10.63 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:
\(d=\sqrt{(-6-2)^2+(4-(-3))^2}\)
Simplify:
\(d=\sqrt{(-8)^2+(7)^2}\)
Evaluate:
\(d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}\)
Our answer is C.
Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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7. Jose's mother is trying to decide whether or not she should buy a 12 ounce package of coffee on
sale for $7.50 or the same coffee for $9.00 per pound. Which is the better buy?
(10 Points)
Enter your answer
8. In question 7 what is the price per ounce for the $9.00 coffee?
(10 Points)
Enter your answer
Pls help :/
Answer:
7. She should choose the $9 coffe because its cheaper per ounce.
9. 57 cents
Step-by-step explanation:
$7.50/12 ounces = 63 cents
$9/16 ounces = 57 cents
what was the key to getting support for converting from petroleum to synthetic lubricants?
Answer:
Step-by-step explanation:
PLEASE HELP!
I need help solving these problems.
1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x
2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x
3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1
4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x
5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x
6. When we simplify cos x + sin xtan x, the result obtained is sec x
How do i simplify the trig identities?We can simplify the trig identities as follow:
1. Simplification of sec² x + tan² xsec² x
sec² x + tan² xsec² x = sec² x(1 + tan² x)
Recall
sec² x = 1 + tan² x
Thus,
sec² x(1 + tan² x) = sec² x × sec² x
sec² x(1 + tan² x) = sec⁴x
Therefore, the simplified is written as
sec² x + tan² xsec² x = sec⁴x
2. Simplification of (sec² x - 1) / sin² x
(sec² x - 1) / sin² x
Recall,
sec² x - 1 = tan² x
Thus,
(sec² x - 1) / sin² x = tan² x / sin² x
Recall
tan² x = sin² x / cos² x
Thus,
tan² x / sin² x = (sin² x / cos² x) / sin² x
tan² x / sin² x = 1/ cos² x
Recall
1/ cos² x = sec² x
Therefore, the simplified expression is written as:
(sec² x - 1) / sin² x = sec² x
3. Simplification of (1/sec² x) + (1/csc² x)
(1/sec² x) + (1/csc² x)
Recall
sec² x = 1/cos² x
Thus,
cos² x = 1/sec² x
Also,
csc² x = 1/sin² x
Thus,
sin² x = 1/csc² x
Therefore, we have
(1/sec² x) + (1/csc² x) = cos² x + sin² x
Recall
cos² x + sin² x = 1
Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:
(1/sec² x) + (1/csc² x) = 1
4. Simplification of (sec x / sin x) - (sin x / cos x)
(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x
Recall
sec x = 1/cos x
sinx sinx = sin² x
Thus,
(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x
(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x
Recall
1 - sin² x = cos² x
Thus, we have
[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x
[1 - sin² x] / sinx cos x = cos x / sin x
Recall
cos x / sin x = cot x
Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:
(sec x / sin x) - (sin x / cos x) = cot x
5. Simplification of (1 + sin x)(1 - sin x)
(1 + sin x)(1 - sin x)
Clear bracket
1 - sin x + sin x - sin² x
1 - sin² x
Recall
1 - sin² x = cos² x
Thus, we have
(1 + sin x)(1 - sin x) = cos² x
6. Simplification of cos x + sin xtan x
cos x + sin xtan x
Recall
tan x = sin x / cos x
cos x + sin xtan x = cos x + sin x (sin x / cos x)
cos x + sin xtan x = cos x + (sin² x / cos x)
cos x + sin xtan x = (cos² x + sin² x) / cos x
Recall
cos² x + sin² x = 1
cos x + sin xtan x = 1 / cos x
1/cos x = sec x
Thus,
cos x + sin xtan x = sec x
The simplified expression of cos x + sin xtan x is sec x
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What is the product of 5/14 and 7/20
Answer:
⅛
Step-by-step explanation:
⁵⁄₁₄ x ⁷⁄₂₀
= ⁵ˣ⁷⁄₁₄ₓ₂₀
=³⁵⁄₂₈₀
=⅛
Write168 to the nearest hundred
Answer:
200
Step-by-step explanation:
6 is closer to 10 than 0
pleaseee anybody help me with this question it’s more than one answer
Kol and Kara solve this problem in two different ways the perimeter of a rectangle is 46 centimeters it’s length is 8 centimeters what is its width
Answer:
15cm
Step-by-step explanation:
because length is given as 8 cm and perimeter is length+width+length+width
so if you take 8cmX2 since its taken twice to get the perimeter and 15cmX2 you get 46cm which originally the question said was the peemiter
15cm
Step-by-step explanation:
The perimeter of a rectangle is P=2w+2L. (2 length)+(2width)
if the length is 8cm, then 2L will be 16 cm. 46=2w+16cm. We have 30 cm left which is the 2w. Divide 30cm by 2 to get w. W =15 cm.
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
10 cm
a
8 cm
What is the length of the missing leg?
Answer:
Could it be 9cm? There isnt enough info here to solve the problem.
Step-by-step explanation:
what's the domain and range of the graph
Answer:
Domain: x <= 4
Range: all real numbers
Step-by-step explanation:
The domain is all the x's in the graph. If you have an equation, its it's all the x's that are allowed to go into the equation. See on the image that there is no graph if you are standing at x=5 or x=6 or anywhere farther to the right. It exists at 4 and everywhere forever if you keep walking on the x-axis to the left. So the domain is {x | x<=4} written in set notation. In interval notation it is written (infinity symbol, 4].
Range is all the y's on the graph or any y output that could be created by the equation. If you are walking up and down on the y-axis and look for the graph, you could walk forever up the y-axis or down the y-axis and still be able to see the graph. So the range is all real numbers. Range is (-inf, inf) in interval notation.
Solve for y. 2(y-2) -6y=-28
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
In this diagram, circle A has radius = 11.5 and BC = 13.1. BC is a tangent line, calculate the distance of CD.
The distance of CD is 5.93.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Given a circle.
Radius of circle = 11.5
AB = AD = 11.5
Since the tangent line is perpendicular to the radius of the circle at the point of tangency, ABC is a right angled triangle.
AC² = AB² + BC²
= 11.5² + 13.1²
= 303.86
AC = 17.432
CD = AC - AD
= 17.432 - 11.5
= 5.93
Hence the distance of CD is 5.93.
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Ask questions slove for x 5(x-3)=15
Answer:
Step-by-step explanation:
Your answer is 6
How do i simplify a fraction? Please explain step by step to get marked!
Answer:
Write down the factors for the numerator and the denominator.
Determine the largest factor that is common between the two.
Divide the numerator and denominator by the greatest common factor.
Write down the reduced fraction.
Step-by-step explanation:
yw boo
Answer:
Write all of the factors of the numerator and the denominator in two separate lists.
Divide the numerator by the largest number to appear in both lists.
Divide the denominator by the same number.
Step-by-step explanation:
What is the value of f(-5) in the piecewise function -3x + 1 when x > 1 f(x) = -2x when x = 1 2x - 1 when x < 1
Answer:
f(-5)=-11
Explanation:
Given the piecewise function:
\(f(x)=\begin{cases}{-3x+1,\text{ when }x>1} \\ {-2x,\text{ when }x=1} \\ {2x-1,\text{ when }x<1}\end{cases}\)We want to find the value of f(-5).
When x=-5:
\(\begin{gathered} -5<1\implies f(x)=2x-1 \\ \text{ Therefore:} \\ f(-5)=2(-5)-1 \\ =-10-1 \\ =-11 \end{gathered}\)The value of f(-5) is -11.
What is place value of 312.054
Answer:
word form: three hundred twelve and fifty-four thousandths
3=hundreds place
1=tens place
2=ones place
0=tenths place
5=hundredths place
4=thousandths place
hope this helps
The correct ordered pair 2y + 4x equals 18 2y - 3x equals 4
Answer:
I don’t get it? What’s the question?
Step-by-step explanation:
Answer: (2, 5)
Step-by-step explanation:
Which of the following best describes a circle?
A. The set of all points in a plane at a given distance from a given
point
O B. The set of all points in a plane that are equidistant from two points
C. The set of all points in a plane that are equidistant from a given
point and a given line
D. The set of all points smaller than or equal to a given distance from
a given point
Help Meeeeee again plzzzzzzzzz
Answer:
53
Step-by-step explanation:
pls give me brainlest
if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 hours?
Answer:
48 miles
Step-by-step explanation:
run -- 4 hrs at 8 mph = 4 • 8 = 32 miles
walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles
32 + 16 = 48 miles
In using quarterly time series data, which quarter can serve as the base period for interpretation of dummy variables?
A. Any of the above.
B. Quarter two
C. Quarter one
D. Quarter four
E. Quarter three
In using quarterly time series data, Quarter two can serve as the base period for interpretation of dummy variables.
What do you mean by interpretation?
The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.
Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.
What are examples and variables?
A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.
The two primary categories of variables are categorical and numeric.
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