Answer:
|t-71| < 3
Step-by-step explanation:
The inequalities represents this situation is | t - 71 | < 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
According to the question
The target temperature for a laboratory = 71° f.
it can vary by up to 3°. (highest limit)
the temperature in the laboratory represented by t
Now,
inequalities represents this situation is
| t - 71 | < 3
Hence, the inequalities represents this situation is | t - 71 | < 3
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Help me find answer to this
Answer:
[tex]\angle B=41.81^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:
[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:
[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]
Calculating the inverse sine function:
[tex]\angle B=\arcsin (0.667)[/tex]
[tex]\boxed{\angle B=41.81^\circ}[/tex]
Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary
Answer:
the anser is 22.10
Step-by-step explanation:
you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help
Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?
Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
he points in the table lie on a line. What is the slope?
Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method
Step-by-step explanation:
Because he always do that non sense thing by this true method and always shout it when they will go from their house
what is the the y intercept of the function f(x)=-2/9X+1/3?
Answer:
1/3
Step-by-step explanation:
the y-intercept is when x=0, so, if x was 0, y is1/3
plz brainliestt
Answer:
It is 1/3
Step-by-step explanation:
hope it helps ^^
Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?
Answer:
angle A=140
angle B=105
angle C=60
angle A=140
angle B=105
angle C=60
Step-by-step explanation:
PENN
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Use 3.14 as an approximation for π .
Answer:
1,254 sqaure ft
Step-by-step explanation:
Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.
The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
Use the radius of the circle, 20/2 =10, to find the area of the circle:
A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.
The area of the triangle is:
A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568
The area of the shaded region equals the area of the triangle and subtracts the area of the circle.
This is approximately 1,568 - 314 = 1,254 square meters.
Hence, the correct answer would be an option (B).
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Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
Given ΔPQR and ΔSTU, what is m∠Q?
Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.Thus:
ΔPQR and ΔSTU are similar because:
PQ/ST = PR/SU = QR/TU = 3.5
Therefore,
m∠Q = 180 - 70 - 46
m∠Q = 64°
Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.
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In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown
Answer:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
I will give brainiest to whoever answers correctly !!
Answer:
it is not clear .... please add the question and send the link of the question
Answer:
$712.79
Step-by-step explanation:
Choose values for horizontal and vertical translation
First perform a vertical translation of -5 and then a
horizontal translation of -5. Check all that apply.
O ZA ZA
y
4
Horizontal
Translation
OZBZB
2
B
Vertical
Translation
O ZCE ZC
A
X
AB=A'B'
-2
2
4
AC = A'C'
OBCEB'C'
-2
Reset
-4
Answer:
All of the answers are correct.
Answer:
all the answers are right bc if u look at them their all the same i also took the test
Step-by-step explanation:
Estimate the sum of 13 and 45
Answer:
58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
13 plus 45 is 58
you add them.
do you understand?
Please help with all three will give brainliest and $5
[tex]\frac{x}{y}[/tex]Answer:
Six would be your answer
Step-by-step explanation:
2y-9= y-2
-y -Y
y-9=-2
y=-2+9
y=6
Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.
Answer: 28.765957 km/hour
This value is approximate. Round it however you need to.
==============================================
Explanation:
Let's convert 75 minutes to hours.
75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr
So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is
speed = distance/time
speed = (130 km)/(1.25 hrs)
speed = (130/1.25) km per hour
speed = 104 km per hour
Let A = 104, so we can use it later.
------------------------------------
Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.
From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hoursOverall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.
Dani's train travels 312 km in 3.25 hours.
That train's speed is...
speed = distance/time
speed = (312 km)/(3.25 hours)
speed = (312/2.35) km per hour
speed = 132.765957 km per hour, approximately
Let B = 132.765957 so we can use it later.
------------------------------------
Lastly, we subtract the values of A and B to get the final answer
C = difference in train speeds.
C = B - A
C = 132.765957 - 104
C = 28.765957 km/hour
This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.
9.66 rounded to 1 decimal place
Answer:
9.7
Step-by-step explanation:
When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:
your answer would be 9.7
please mark brainelist!!!
AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B
Answer:
huh? im confused on the question
Step-by-step explanation:
!!
Answer: 3.76
Step-by-step explanation:
trust
You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?
Answer:
One Serving - 1/4 teaspoon
240 Serving - 60 teaspoon
plz mark as brainliest
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!
Answer:
The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.
Step-by-step explanation:
Find the area of the shaded region. All angles are right angles.
JELPPPPP it’s due in 5 mins
The answer is 65
Step-by-step explanation:
all you had to do was divide
Find the volume of the specified cone. Use 3.14 for pi, and round your answer to the nearest whole number.
Diameter = 5 cm, height = 9 cm
A. 59 cu. cm
B. 25 cu. cm
C. 38 cu. cm
D. 19 cu. cm
Answer:
A) 59 cu. cm
Step-by-step explanation:
diameter = 5cm
Radius = 5/2 = 2.5 cm
Volume of cone = [tex]\frac{1}{3}*\pi *r^{2} h[/tex]
[tex]=\frac{1}{3} * 3.14 * 2.5 *2.5 * 9\\\\= 3.14 * 2.5 * 2.5 * 3\\\\= 58.875\\[/tex]
= 59 cu cm
simplify the expression -3÷(-2/5)
Answer:
7 1/2
Step-by-step explanation:
Because you have to keep, change, flip and it is positive because they both are negative
Can you mark me brainliest
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no
Answer:the answer is D Any amount of time over an hour and a half would cost $10
Step-by-step explanation:
The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
[tex]v = \frac{d}{t} \\ d = vt[/tex]
and the additional information needed is the velocity of light and the time elapsed to be in the earth
Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3
Answer:
System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x+3<6 Equation/Question
Step 2
-3x+3<6 Simplify
-3x<3
Step 3
-3x<3 Divide
Answer
x>-1
Hope this helps
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
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my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)