The shaded rectangle has a surface area of 14 square units, according to the supplied statement.
What is a rectangle, exactly?Four-sided rectangles have interior angles that are all precisely 90 degrees. The two sides meet at a right angle at every edge or vertex. So its opposite sides are identical lengths, the oblong differs from a square.
Briefing:The frame's known width is two units, and both the rectangular and the frame have the following dimensions:
width = 6 units
length = 11 units
Now, each measure will drop by 2*2 units, or 4 units, if the frame is removed (because for each measure we have the frame in both sides).
So, the measurements for the rectangle in shading are:
width = 6 units - 4 units = 2 units
length = 11 units - 4 units = 7 units.
And since the ratio of a rectangle's width and length determines its area, we may calculate:
A = (2 units)*(7 units) = 14 square units.
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The complete question is-
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 unit wide.
6
11
Which of the following is the correct representation of 53?
a.
5 + 5 + 5
c.
3 × 3 × 3 × 3 × 3
b.
5 × 5 × 5
d.
5 × 3
Answer:
c
Step-by-step explanation:
Tim has a total of 19 nickels and dimes worth $1.65 in his coin bag. How many of each type of coin does Tim have?
Answer:
14dimes and 5 nickels
Step-by-step explanation:
Tim have 14 dimes and 5 nickels.
What is a unitary method ?In simple terms, the unitary method is used to find the price of a single unit from a given multiple.
Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that there are 19 nickels, let n=number of nickels.
The number of total coins subtracted by number of nickels will give us the number of dimes.
The Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)
Then we can substitute total as $1.65 and get the value of nickels by multiplying by 5cent
Since the value of the dimes is the value of nickels subtracted from the total, we can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.
5(n)=5(19)=95
(165-95)/10 =number of dimes
70/10 = 7dimes
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Liam estimates that the distance between City A and City B is 85 miles. The actual
distance between the two cities is 84.5 miles. What is the percent error in Liam's
estimate?
Answer:
0.5 difference
Step-by-step explanation:
since liam estimated 85 miles even though it is 84.5, you should minus 85 from 84.5 which will equal 0.5
I’m so confused what it is asking? (see the attached image)
Answer:
sole it
the(<) it wants you to figure out each side and put the inequality in between what you get
f(x) = 1/3x -2; reflection in the x-axis
write an equation with infinite solutions using use atleast two operations
Answer:
\(a + b = a + b\)
Step-by-step explanation:
plugging in a and b for anything will work, thus resulting in infinite amount of solutions
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=88(0.977)^x
3% is the percentage rate of increase or decrease.
What does exponential decay mean?
A process known as exponential decay describes how a quantity depletes over time, with the rate of depletion become proportionately slower as the quantity shrinks. Finding the exponential drop—a rapid reduction over time—is made easier by the exponential decay formula.
The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay. The formula for f(x) is f(x) = a (1 - r)x.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = .03 which represents 3%
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What is the answer?
-6 x -6
Answer:
36
Step-by-step explanation:
What is the slope of a line that goes through the origin and the point (6, -4)?
The slope of the line that goes through the origin and the point (6, -4) is -2/3.
To find the slope of a line that goes through two given points (x₁, y₁) and (x₂, y₂), you can use the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, one of the points is the origin, which has coordinates (0, 0), so x₁ = 0 and y₂ = 0. The other point is (6, -4), so x₂ = 6 and y₂ = -4. Substituting these values into the slope formula gives:
slope = (-4 - 0) / (6 - 0) = -4/6 = -2/3
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Round your answer to THREE (3) decimal places. If you do not round correctly, your answer will be marked incorrect.
If necessary, add zeros to your decimal to have 3 decimal places.
Your answer will be counted wrong if does not have 3 decimal places.
Answer:
Step-by-step explanation:
you need to add all 5 numbers together, then divide my 5. the answer should be 89.6
Complete the remainder of the
table for the given function rule:
y = -2x +9
-4 -2 0 2 4
[?] [] [] []
y 17
The complete table of values for the function rule y = -2x +9 is
x -4 -2 0 2 4
y 17 13 9 5 1
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to complete the remainder of the table for the given function rule?From the question, the function rule is given as:
y = -2x +9
The table of values is given as:
x -4 -2 0 2 4
y 17
Next, we substitute the other values of x in the equation y = -2x +9
y = -2(-2) +9 = 13
y = -2(0) +9 = 9
y = -2(2) +9 = 5
y = -2(4) +9 = 1
So, the complete table of values is
-4 -2 0 2 4
y 17 13 9 5 1
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20 POINTS FOR AN EXPLANATION!!!
Answer:
Graph using a table of values.
x y−2║−7/3
−1║−5/3
0║ −1
1║−1/3
2║1/3
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (32,0)
y-intercept(s): (0,−1)
Step-by-step explanation:
F(x)=2/3x-1
Answer:
Graph using a table of values.
x y
−2║−7/3
−1║−5/3
0║ −1
1║−1/3
2║1/3
Step-by-step explanation:
How do you know whether a number written in standard form will have a positive or negative exponent when written in scientific notation? The drop down boxes have the words positive and negative.
Okay, here we have this:
Considering the provided sentence, we are going to identify wich is the correct word, so we obtain the following:
If the number is greater than
Why do you think "imaginary" was considered derogatory?
WILL GIVE BRAINLIEST
Answer:
Yes, SAS theorem. Angle ACB and Angle ECD are congruent because of the vertical angles theorem.
Step-by-step explanation:
A shipping box has a volume of 1,000 cubic inches. What is the length of one side of the box?
The length of one side of the box is 10 inches.
How to find the volume of a cube?Suppose that: The side length of the considered cube is L units.
Then, we get the Volume of that cube = L³ cubic units.
The volume of a cube is of the form V = L³, where L is the side length.
Given that the shipping box has a volume of 1,000 cubic inches.
Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:
1000 = L³
Cube root both sides:
L = \(\sqrt[3]{1000}\)
Therefore, each side is 10 inches.
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what is 3x+3(x+y). I need help answering this algebra I question
Answer:
6x + 3y
Step-by-step explanation:
3x + 3x + 3y (use the distributive property)
6x + 3y
Find the slope of the line through the given points:
(-3,-4) and (5, 12)
Leave answer as a fraction.
slope =
Blank 1:
Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.
because I prefer to go from left to right, let's go from
(-3, -4) to (5, 12).
x changes by +8 (from -3 to 5).
y changes by +16 (from -4 to 12).
so, the slope is
+16/+8 = 2/1 = 2
Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29
Notice* No options are provided, so I will solve the expression.
Answer:
\(\frac{125x+96}{4}\)
Step-by-step explanation:
Step 1: Simplify \(\frac{4}{5}\)
Step 2: Rewriting the whole as an Equivalent Fraction
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
5x = 5x/1 = 5x * 5/5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
dding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x • 5 - (4) 25x - 4
-------------- = ---------
5 5
Step 3: Simplify 25/4
Rewriting the whole as an Equivalent Fraction :
Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
29 = 29/1 = 29 * 4/4
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
5 • (25x-4) + 29 • 4 125x + 96
--------------------------- = -----------
4 4
Final result :
125x + 96
—————————
4
___________
Terms and topics:
Dividing exponentsPolynomial rootsNonlinear equationsEquations which are reducible to quadraticReducing fractions to lowest termsuse distributive property to rewrite 5(9+x)
Answer:
45+5x
Step-by-step explanation:
Tyrone is designing a new recycling
program for a school. Tyrone charges the
school $1125 for 9 hours of consulting
work. His rate is constant.
Answer:
125$ per hour
Step-by-step explanation:
Answer: 125 dollars per hour
Step-by-step explanation:
1125 / 9 = 125
Consider two digital fuel pumps A and B that could be used in a single gas station. Pump A has a mean effective process time of 4 minutes with squared-coefficient of variation of 0.5. Pump B has a mean effective time of 3 minute with squared-coefficient of variation of 5. Assume that the arrival rate of cars is 0.2 car per minute with squared-coefficient of variation of 1. Which pump will have a longer average cycle time? (Hint: the number of machines, m, is 1.)
Therefore, Pump B will have a longer average cycle time compared to Pump A.
To determine which pump will have a longer average cycle time, we need to calculate the cycle time for each pump based on the given information and compare the results. The cycle time for a single-server system can be calculated using Little's Law: Cycle Time = (1 / Arrival Rate) * (1 / (1 - Utilization))
Given:
Arrival Rate = 0.2 car per minute
Squared-Coefficient of Variation (CV^2) for Arrival Rate = 1
Utilization can be calculated as the product of the mean effective process time and the arrival rate:
Utilization = Mean Effective Process Time * Arrival Rate
For Pump A:
Mean Effective Process Time (A) = 4 minutes
Squared-Coefficient of Variation for Pump A = 0.5
Utilization (A) = 4 * 0.2 = 0.8
For Pump B:
Mean Effective Process Time (B) = 3 minutes
Squared-Coefficient of Variation for Pump B = 5
Utilization (B) = 3 * 0.2 = 0.6
Now, let's calculate the cycle time for each pump:
Cycle Time (A) = (1 / 0.2) * (1 / (1 - 0.8))
= 5 minutes
Cycle Time (B) = (1 / 0.2) * (1 / (1 - 0.6))
= 2.5 minutes
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Seventy-five percent of the medium-sized companies doing business in
Brooklyn provide their CEO's with desktop computers. Moreover, 30% of
these companies provide a laptop given they have provided a desktop. What
is the probability that a CEO gets a desktop and a laptop?
Please help me out!
Answer:9/40
Step-by-step explanation: Multiply probability of getting desktop by probability of getting laptop. 3/4 (desktop)* 3/10 (laptop)=9/40(desktop &laptop) . That fraction can't be reduced and is equal to .225 or 22.5%
Which number line model represents the expression -2+(-7)
Answer:
B
Step-by-step explanation:
Start at zero.
Go 2 units left to -2.
Then go another 7 units left to add -7.
Answer: B
Use the information given below to find sin(a+b). with a in quadrant III 4 tan a=- 3 4 cos B=; 5 with B in quadrant IV Give the exact answer, not a decimal approximation.
To find $\sin(a+b)$ when given $a$ in quadrant III and $b$ in quadrant IV, we can use trigonometric identities and the sign conventions of the trigonometric functions.
We are given that $4\tan a=-3$, which means $\tan a=-\frac{3}{4}$. Since $a$ is in quadrant III, we know that $\cos a<0$ and $\sin a<0$. Therefore, we can draw a right triangle in quadrant III with opposite side $-3$, adjacent side $-4$, and hypotenuse $5$. This triangle has $\sin a=-\frac{3}{5}$ and $\cos a=-\frac{4}{5}$.
We are also given that\($\cos b=\frac{4}{5}$\), which means $\sin^2 b=1-\cos^2 \(b=\frac{9}{25}$.\) Since $b$ is in quadrant IV, we know that $\sin b>0$. Therefore, we can draw a right triangle in quadrant IV with opposite side $3$, adjacent side $4$, and hypotenuse $5$. This triangle has $\sin b=\frac{3}{5}$ and $\cos b=\frac{4}{5}$.
Using the angle addition formula for sine, we get:
\(sin(�+�)=sin�cos�+cos�sin�=(−35)(45)+(−45)(35)=−2425\)
sin(a+b)=sinacosb+cosasinb=(−
\(53 )( 54 )+(− 54 )( 53 )=− 2524\)
Therefore \(, $\sin(a+b)=-\frac{24}{25}$.\)
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Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as a single complete sentence on why he was or was not speeding.
Answer:
Tom was speeding.
Step-by-step explanation:
The driving speed of Tom = 20.3 meters per second.
Speed allowed in the zone = 45 miles per hour zone.
Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.
1 mile = 1609.34 meters
1 hour = 3600 second
Now convert 20.3 into mile per hour.
20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.
Since Tom’s speed is more than the allowed speed so he is speeding.
You need to put equation signs in between the 6. 1 gross = 144
The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Place the arithmetic symbol between the 6 times 6 to become one. Then we have
⇒ 6 + 6 - 6 - 6 + 6 / 6
⇒ 1
The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.
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Every day, Savannah's burrito stand uses 3 bags of tortillas. How many days will 3/4 of a bag of tortillas last?
Answer:
Step-by-step explanation:
Set up a ratio.
3 bags/1 day = 2/3 bag/x day
Cross multiply to solve.
3x=2/3
So x=2/3(1/3)=2/9 of a day
HELP HELP HELP HELP HELP HELP HELP y=?
Answer:
y = 95°
Step-by-step explanation:
Linear pair of angles add up to 180°
120° + x = 180° [Linear pair of angles]
=> x = 180° - 120°
=> x = 60°
Sum of all angles of a triangle is 180°.
So, 25° + 60° + y = 180°
=> 85° + y = 180°
=> y = 180° - 85°
=> y = 95°
Answer:
x + 120 = 180
x = 180 - 120
× = 60
by angel sum property
25 + x + y = 180
25 + 60 + y = 180
85 + y = 180
y = 180 - 85
y = 95°
help.help.help.pls.pls
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Work Shown:
Solve the equation for y
-13y - 5 = 8
-13y = 8+5
-13y = 13
y = 13/(-13)
y = -1
Then use this y value to compute 4y+7
4y+7 = 4(-1)+7 = -4+7 = 3