Answer:
A. A(l) = l² -6l
Step-by-step explanation:
You want a quadratic function for the area of a rectangle whose width is 6 feet less than its length.
Rectangle areaLet l (ell) represent the length of the rectangle in feet. Then the width will be 6 feet less, or (l -6). The area is the product of length and width:
A = LW
A(l) = l(l -6)
A(l) = l² -6l . . . . . . use the distributive property to eliminate parentheses
The perimeter of the triangle shown is 89 meters. Find the length of each side.
Greetings from Brasil...
The perimeter is the sum of all sides of the triangle. In this case
P = (2X) + (X) + (4X - 9)
as P = 89
89 = (2X) + (X) + (4X - 9)
89 = 7X - 9
7X = 98
X = 98/7
X = 14X:
X meters = X = 14
---------------------------------------------
2X:
2X meters = 2 · X = 2 · 14 = 28
---------------------------------------------
(4X - 9):
(4X - 9) meters = (4 · X - 9) = (4 · 14 - 9) = (56 - 9) = 47
If y = x³ +3,
find the value of y when x = -1
Answer:
Step-by-step explanation:
y = x^3 + 3
y = (-1)^3 + 3
y = -1 + 3
y = 2
Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below he Part A Choose the compound inequality that describes the elevation x of Ted's house.
A 113 < 15 - x<120
B. 113 < x + 15 <120
C. 113 < x < 120
D. 113 <x - 15 < 120
The compound inequality that describes the elevation x of Ted's house with respect to Sakura's house is: D. 113 < x - 15 < 120.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the information provided, the minimum and maximum heights for Sakura's house can be represented by this compound inequality:
113 < x < 120
Since Ted lives about 15 meters below her, compound inequality would be rewritten as follows:
113 < x - 15 < 120.
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need help on 11-17 pls. Thank u
Can somone help me with thisASAP
What is the turning point of the graph of f(x)=|x|+4 ?
(0, −4)
(0, 4)
(4, 0)
(−4, 0)
The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the mode function,
f(x)=|x|+4
For x < 0 the function f(x) will be
f(x) = -x + 4
For x > 0 the function f(x) will be
f(x) = x + 4
Now,
Slope at x < 0 → f'(x) = -1
Slope at x > 0 → f'(x) = +1
Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.
Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".
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The perimeter of a rectangular window is 324 cm .
If the width of the window is 73 cm , what is its length?
Answer:
The length is 89 cm============================
Perimeter equationP = 2(l + w), where
P- perimeter, l- length, w- widthGivenP = 324 cm,w = 73 cmFind the value of l:
324 = 2( l + 73)l + 73 = 324/2l + 73 = 162l = 162 - 73l = 89Answer:
L = 89 cm
Step-by-step explanation:
Formula we use,
→ P = 2(L + W)
Then the value of its length is,
→ P = 2(L + W)
→ 324 = 2(L + 73)
→ 324 = 2L + 146
→ 2L = 324 - 146
→ L = 178/2
→ [ L = 89 cm ]
Hence, the length is 89 cm.
A scientist uses a submarine to study ocean life.
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your
answer to the nearest tenth.
The Rate of the change of position per second is 23 feet.
According to the statement
We have to find that the rate of the change of the position in the sea level.
So, For this purpose, we know that the
Rate of change is used to mathematically describe the percentage change in value over a defined period of time
From the given information:
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Then
Rate of the change of position is = final position - initial position / time
Rate of the change of position is = 225 - 133 / 4
Rate of the change of position is = 92 / 4
Rate of the change of position is = 23.
So, The Rate of the change of position per second is 23 feet.
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what is the complement of 14 17'
The complement of the angle 14° 17' would be; 75° 43'
What is the Complement of the Angle?We want to find the complement of the angle 14° 17'
The complement of 14° is the angle that when added to 14° forms a right angle (90° ).
Now, when an apostrophe is found in the word angles, it means 'angular minutes, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."
Thus, 14° 17' means 14 degrees, 17 minutes.
Now, 17 minutes when converted to degree is;
17/60 degrees = 0.283. Thus; 14° 17' = 14.283
Now, the complement of 14° 17' would be;
90 - 14° 17' = 75° 43'
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Explain why this is not true. WILL GIVE BRAINLIEST
Answer:
x(assuming x = 1) + 3 is not less than a negative number(-2).-5 + 3 is 2, so that should be put as equal.-2 is equal to -2.2 is greater than -2 on a scale of positive to negative.Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12
cents per yard. If after that purchase there was $22.84 left on the card, how many yards of ribbon did Diane buy?
yards
X
5
Answer:
The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.
Step-by-step explanation:
It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.
Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;
Furthermore, based on the given conditions, we will be formulating the following;
=> (25-22.84) / 12
=> 2.16/12
=> 216/100 × 1/12
=> 9/25 × 1/2
=> 9 / (25×2)
=> 9/50
=> 0.18 yards
Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.
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How do you write 3 7/8 in a decimal form
Answer:
3.875
Step-by-step explanation:
The way you can do this is if you change 3 7/8 into a improper fraction.
3 7/8
To make improper fraction, you do 8x3+7 and that will be your numertor and 8 will be your denomintator. Then you will get 31/8. Now you do 31 dived by 8. That should igve you 3.875.
Let me know if this helps!! :)
Expression for the quotient of twice a number, and the sum of the number and seven
In linear equation , 2n/7 is Expression for the quotient .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let the number = n
A quotient is the result of a division.
the quotient of twice a number = 2n
= 2n/7
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Simplify three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed.
−3
−2
21
24
The value of the given expression is equivalent to -3
Simplifying linear equationsLinear equations are equation that has a linear degree of 1.
The statement three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed is written mathematically as:
3/8(1+√49)² - (4-1)³
Expand to have:
3/8(1+7)² - 3³
3/8(8)² -27
3/8(64) - 27
3(8) - 27
24 - 27
-3
Hence the value of the given expression is equivalent to -3
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A couch with a list price of $2200 will be discounted 35 % at the time of purchase. What is the sale price before taxes?
The sale price before taxes and after discount is $1,430.
Given that A couch with a list price of $2200 will be discounted 35 % at the time of purchase and asked to find the sale price before taxes.
The original cost of the couch=$2200
The discount percentage=35 %
I.e. 35 % of $2200 is $770
The discount given to the customer will be 35% i.e. $770
⇒The selling price will be $770 less than the original cost price.
As a result, the selling price will be =$2200-$770
The Selling price of the couch is $1,430
Therefore,The sale price before taxes and after discount is $1,430.
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Shawn took the bus from Seattle to Portland, a distance of 175 miles. If the trip took 3.5 hours, what was the speed of the bus?
Answer:
50 miles or hour
Step-by-step explanation:
SPEED= DISTANCE/TIME
SPEED = 175/ 3.5
SPEED= 50
Kadeem has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
• He buys a new bicycle for $470.65.
• He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18.
• He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each.
Write and solve an inequality which can be used to determine x, the number of outfits Kadeem can purchase while staying within his budget.
Total money with Kadeem = $680
Money spent by him on a new bicycle = $470.65
Money left with him after buying a new bicycle = 680 - 470.65 = 209.35
Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74
Money left with him after buying reflectors = 209.35 - 15.74 = $193.61
Money spent by him on bike gloves = $15.18
Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43
Cost of each outfit = $50.98
Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:
50.98x< = 178.43
x< = 3.5
So, Kadeem can buy 3 outfits while staying within budget
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Which graph represents the solution set for the inequality 1xs18?
O
O
O
O
01 2 3 4 5
6
7 8 9 10
0 6 12 18 24 30 36 42 48 54 60
0 1 2
+ + +
+
3
4
4 5 6 7 8 9 10
+
0 6 12 18 24 30 36 42 48 54 60
2
k
Answer: Graph D
The inequality solves to [tex]\text{x} \le 36[/tex]
=====================================================
Explanation:
The goal is to solve for x.
Multiply both sides by 2 to go from
[tex]\frac{1}{2}\text{x} \le 18[/tex]
to
[tex]\text{x} \le 36[/tex]
The inequality sign does not flip. It would only do so if you multiplied or divided both sides by a negative number.
The graph will have a closed filled in circle at 36, with shading to the left. This is to visually show the set of all x values that are 36 or smaller. The endpoint 36 is included in the solution set (an open hole would be used if you wanted to exclude it from the solution).
This describes Graph D
1/5 + 1/3x > 1/2x - 1/4
The common denominator represent the value is X<2.7.
Get every x term on the right side and every constant term on the left to begin.
1/5+1/3 X>1/2 X-1/4
1/5+1/4+1/3 X>1/2 X
1/5+1/4>1/2 X-1/3 X
The two halves of a fraction are the numerator and the denominator. Any arithmetic operation involving two or more fractions, such as addition or subtraction, is possible if the denominators of the two fractions are the same. To this, the phrase "common denominator" relates.
When two fractions have the same denominator, we refer to them as having common denominators. Common denominators facilitate fractional operations like comparison, addition, and subtraction.
Give common denominators to the terms on each side now.
4/20+5/20>3/6 X-2/6 X
9/20>1/6 X
By multiplying both sides by 6, we may now.
27/10>X
2.7>X
Hence, the common denominator value is X<2.7.
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The tank for a car holds 20 gallons . The gasoline gauge shows the tank is 2/3 full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms.
The amount of gas in the tank is 13 1/3 gallons
How to calculate the amount of gas in the tank ?The tank of the car holds 20 gallons of gas
The gasoline gauge shows 2/3 full
The amount of gas left in the tank can be calculated as follows
= 2/3 × 20
= 40/3
= 13 1/3
Hence there are 13 1/3 gallons of fuel left in the tank
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What’s 14/20 - 81/90
Answer: -1/5
Step-by-step explanation:
14/20 - 81/90=
7/10-9/10= ==> 10 is the GCF of 20 and 90
(7-9)/10=
-2/10=-1/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}[/tex]
[tex]\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}[/tex]
[tex]\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}[/tex]
[tex]\mathsf{= \dfrac{7 - 9}{10 - 0}}[/tex]
[tex]\mathsf{= \dfrac{-2}{10}}[/tex]
[tex]\mathsf{= \dfrac{-2\div 2}{10\div2}}[/tex]
[tex]\mathsf{= \dfrac{-1}{5}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
please answer 8,9,10 show work
Answer:
8. HI = 25 cm
9. HJ = 27.5 cm
10. IK = 5.5 cm
Step-by-step explanation:
Given segments JK=3 cm and IJ=2.5 cm of 30.5 cm length HK having points H, I, J, K in sequence, you want to find missing segment lengths.
Segment sum theoremThe segment sum theorem tells you the length of a line segment is the sum of the lengths that make it up. That means ...
HI +IJ +JK = HK
This lets you find the lengths of the various segments without concerning yourself with the value of x.
8. HIUsing the given lengths in the above sum, we have ...
HI +2.5 +3 = 30.5
HI = 30.5 -5.5 = 25
The length of HI is 25 cm.
9. HJThe overall length is the sum of its parts:
HI +IJ = HJ
25 +2.5 = 27.5 = HJ
The length of HJ is 27.5 cm.
10. IKThe overall length is the sum of its parts:
IJ +JK = IK
2.5 +3 = 5.5 = IK
The length of IK is 5.5 cm.
__
Additional comment
In case you actually want to find x, you can find it from ...
HI = 3x +4
25 = 3x +4
21 = 3x . . . . . . subtract 4
7 = x . . . . . . . divide by 3.
In this set of problems, the only use of x is to find the value of 3x+4, which you have already seen is 25.
HELPPPPPPPPPPPPPPPPPPPPPP
let DF become y
y = x + 9
to find x let y = 0
0 = x + 9
transpose 9
-9 = x
therefore DF = -9 as an integer
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 19 of the 59 boxes on the shelf have the secret decoder ring. The other 40 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring?
The probability that both of the boxes one would select had the decoder ring is 9.9%.
Given, the store manger gives the surety that 19 out of 59 boxes on the shelf have the secret decoder ring.
The boxes on the shelf which have a different gift inside is = 40 boxes.
If one randomly selects two boxes from the shelf to purchase, the probability that both of them have the secret decoder ring = ?
You can imagine that someone used invisible link to label each box with a number, and knows that boxes number 1 through 19 have decoder rings, while boxes number 20 through 59 have other gifts.
There are 59×58/2
= 3422/2
= 1711 possible sets of two boxes that one could select, but there are only 19 × 19/2
= 342/2
= 171 possible sets of two boxes with decoder rings.
The fraction of possible pairs of boxes where both boxes have the secret decoder ring is:
= 171/1711
= 0.099 = 9.9%
Hence there is 9.9% probability that both of the boxes one might select had a decoder ring.
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In a survey of 720 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
It seems to be reasonable so because survey data is unbiased.
What is defined as the unbiased survey data?An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.
A sample assessment of a population parameter for whom sampling distribution does have a mean equal to the parameter of been estimated is an unbiased statistic. Some traditional statistics provide unbiased estimates of their associated parameters, while others do not. The sample mean is the most basic example of an unbiased statistic. The sample mean is normally distributed with a mean equal to the population mean under the usual assumptions of population normality and simple random sampling with a mean equal to the population mean and a standard deviation equal to the population variance divided by the square root of the sample size.As, for the given question, the 720 human resource professionals survey is done considering each individual equal weight age for all.
A population proportion is also a unbiased estimate of a sample proportion.
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Write the number described by
I ten 16 ones.
Answer:
26
Step-by-step explanation:
10 + 26 = 26
Answer:
26
Step-by-step explanation:
1 × 10 + 16 × 1 = 10 + 16 = 26
i need help this is due tomorrow
Jada cuts a strip of paper into 5 equal parts. Each part is 7/5 inches long. How long was the strip of paper?
The length of the strip of paper is 7 inches.
How to calculate the value?From the information, Jada cuts a strip of paper into 5 equal parts and each part is 7/5 inches long.
Therefore, the length of the strip will be:
= 7/5 × 5
= 7 inches.
The length is 7 inches.
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Which operation should you calculate first? 18÷3−7+2×5
Answer:
9 will be the answer.....
7+ [1 + (3×6+5)] ÷ 2
Answer: 25
Step-by-step explanation:
Multiplication and Division always come before Addition and Subtraction unless they are in brackets, which has top priority. In this case, the order would be ( ) [ ] ÷ +
( ) :
3 x 6 = 30 + 5 = 35
[ ] :
35 + 1 = 36
÷ :
36 ÷ 2 = 18
+ :
7 + 18 = 25
Answer: 25
all
S
ants
mber
4. FIELD TRIP The sixth-grade teachers
collected money from students during
three days for theater tickets to a
play. The ticket cost a whole number
of dollars. If every student paid the
same amount, what is the most the
tickets could cost per student?
Monday
Tuesday
Wednesday
$64
$36
$52
Answer:
Monday.
Step-by-step explanation:
total money = the cost of one day x the number of students
$64 > $52 > $36
$64 is the greatest, so the correct answer is monday.