The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
A compound inequality has two inequality statements joined together
The the temperature of the inequality is represented by T
The temperature T of a refrigerator is at least 35°F and at most 41°F
This means that the temperature falls between 35°F and 41°F
Since the temperature, T, is at most 41°F
This can be mathematically interpreted as
T ≤ 41
The temperature, T, is at least 35°F
35 ≤ T
Combining the two inequality statements 35 ≤ T and T ≤ 41, the compound statement formed is:
35 ≤ T ≤ 41
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
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A right triangle has an angle measure of 52.4 degrees. What is the value of 'x', the missing angle?
Answer:
The answer is 37.6 degrees
Step-by-step explanation:
Since a right angle is 90 degrees in total, to find the missing degree subtract 52.4 from 90 to find the value of x.
90-52.4= 37.6 degrees
37.6 degrees is your answer
Hope this helps
the surface area of the rectangular prism is given by formula S=2 (ab+bh+ah) find the value of h when a = 10, b=6 and s=440
Answer:
10
Step-by-step explanation:
440=2(60+6x+10x)
220=60+16x
160=16x
x=10
h=10
The required value of h is 10 which is determined by substituting the values of a = 10, b = 6, and s = 440 in the formula the surface area of the prism of S = 2 (ab+bh+ah).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
We have been given data as:
a = 10, b = 6 and s = 440
The surface area of the rectangular prism is given by the formula
⇒ S = 2(ab + bh + ah)
Substitute the values of a = 10, b = 6 and s = 440 in the above formula
⇒ 440 = 2(60 + 6h + 10h)
⇒ 220 = 60 + 16h
⇒ 220 - 60 = 16h
⇒ 160 = 16h
⇒ 16h = 160
⇒ h = 160/16
⇒ h = 10
Therefore, the required value of h is 10.
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Which number is not a rational number?
A.
−
√
16
B.
−
1
.
6
C.
2
D.
π
Answer:
D, π
Step-by-step explanation:
It is because you cannot write π in the form of a/b
En una ciudad se registró una temperatura de 12°c bajo cero a las 3:00 am si a las 7:00am del mismo dia la temperatura era tres veces mayor ¿Cual seria la temperatura a esa hora
Answer:
24°c
Step-by-step explanation:
Cuando se dice que la temperatura esta "mayor" significaria que esta aumentando y entorno subiendo a ser mas caliente. Siendo este el caso, si la temperatura a las 3:00 estaba a 12c bajo cero entonces a las 7:00 estaria a 24c. Esto es por que un aumento de tres vecesseria un aumento de 36 grados (12*3). 12c grados bajo cero seria un numero negativo y si sumamos estos numeros nos daria 24c grados.
-12 + 36 = 24
Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in
Answer:
29.9 inches squared
Step-by-step explanation:
I just took this and got the answer right!!
Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21. Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction
*See attachment for the diagram
Answer:
Tan 60 = √3
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
Tan 60 = Opp/Hyp
From the diagram given,
Opp = YZ = ?
Hypotenuse = XY = 42
Find the length of YZ using Pythagorean Theorem:
YZ = √(42² - 21²) = √1,323
YZ = √(441 × 3) = 21√3
✔️Find Tan(60):
Tan 60 = Opp/Hyp = YZ/XY
Tan 60 = (21√3)/21
Tan 60 = √3
Answer:
Tan 60 = √3
Explanation:
Trust!
Hope this helps! :)
Someone please quickly help me! <33
Answer:
43.8%
Step-by-step explanation:
39/89
how to solve this?someone help me
Hope it helps you! ........
Find the missing length indicated. Leave your answer in simplest radical form.
How do I set up the proportion for this?
Step-by-step explanation:
AB = X
AC² = AD × AB
60² = 36 × AB
3600 = 36 × AB
AB = 3600/36
AB = 100
So, if AB = X then the value of X is 100.
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Maria adds 3 cards to her stack of 60. She says now there are only two ways to
arrange the cards into equal groups. Her reason is that 63 is an odd number. Is Maria's
reasoning correct? Explain why or why not.
Answer:
63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.
Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:
1 group of 63 cards
3 groups of 21 cards
7 groups of 9 cards
9 groups of 7 cards
21 groups of 3 cards
63 groups of 1 card
So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.
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11) Given: the function f defined by f(x) = 3x2 . Which statement is true?
1) f(0) = 0
2) f(-2) = f(2)
3) f(5) + f(2)= f(7)
4) f(5) - f(2)= f(10)
An eighth grade class was divided into two groups to go to the state fair. The students in the first group bought 9 food tickets and 14 ride tickets for $66.50 total. The students in the second group bought 18 food tickets and 14 ride tickets for $98.00 total. What was the cost of each food ticket and each ride ticket.
Answer: HOW AM I SUPPOSED TO KNOW?!
Step-by-step explanation:
Plot the data for the functions ƒ(x) and g(x) on a grid.
Answer:
I really dont know
Step-by-step explanation:
Answer:
Would like to know where the functions are. Please help
Find the volume of the cylinder to the
nearest hundredth. Use 3.14 for A.
Answer:
169.65 cm^3
Step-by-step explanation:
SOMEONE FAST I NEED HELPP I'LL GIVE BRAINLIEST WHO DOESN'T HAVE ANY
Find the volume of the figure. *
Answer:
V = 282.74
Step-by-step explanation:
V = π r^2 h = π·32·10 = 282.74334
Answer:
the answer is 30
Step-by-step explanation:
which is greater 3.2×10¹⁰ or 4×10¹²
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
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What is the area of the circle? I need help please!
Answer: 78.5
Step-by-step explanation:
Choose the correct horizontal asymptote of
F(x)=x+7/x^2-6
A: y=6
B: y=0
C: y=7
D: none
PLEASEE HELPP!!! DUE TODAYY!!!
Answer:
b 5/12
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
88.67
Step-by-step explanation:
We know that a triangle's angles adds up to 180 degrees.We can make a equation: x+15+32+2x=180
x=44.3
Don't forget to times 2 to get L
Then L equals 88.67.
PLEASE HELP TY OMG TYTYTY
Answer:
-14x
Step-by-step explanation:
To put in simple terms, this question is asking what -2x+-12x is. To solve this you must add -2 and -12. So... -2+-12=-14. Then add the one "x" at the end.
After 2014 the sales of new cell phones without cameras began declining. The number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240, where x is the number of years after 2014
Answer:
60,000 people
Step-by-step explanation:
Given the number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240,
x is the number of years after 2014
We can find the number of people that bought the cell phone in 2020. In year 2020, that will be after 6years
Substitute x = 6 into the expression
y=-30x+240
y=-30(6)+240,=
y = -180 + 240
y = 60
Since y is in thousands, hence the the number of people that have bought the cell phone by 2020 is 60,000 people
There’s a button for the pic
Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...
Given:
The explicit function is:
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]
To find:
[tex]f(1)=?,r=?[/tex] and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex] ...(i)
Where, a is the first term and r is the common ratio.
We have,
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1000[/tex]
[tex]f(1)=1000[/tex]
And,
[tex]r=\dfrac{1}{4}[/tex]
For [tex]n=1[/tex],
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]
[tex]f(1)=1000(1)[/tex]
[tex]f(1)=1000[/tex]
For [tex]n=2[/tex],
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]
[tex]f(2)=1000\times \dfrac{1}{4}[/tex]
[tex]f(2)=250[/tex]
Similarly, substituting [tex]n=3,4,5[/tex], we get
[tex]f(3)=62.5[/tex]
[tex]f(4)=15.625[/tex]
[tex]f(5)=3.90625[/tex]
Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].
Given:
The explicit function is:
To find:
and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
...(i)
Where, a is the first term and r is the common ratio.
We have,
...(ii)
On comparing (i) and (ii), we get
And,
For ,
For ,
Similarly, substituting , we get
Therefore, and the first five terms are .
A language arts teacher at Patton Middle School conducts a random survey of the student body and finds that 15% of the students would be
interested in a summer creative writing program if it were offered. If there are 720 students in the school, how many of them should the teacher
predict will participate in the program?
A) 15 students
B) 84 students
C) 108 students
D) 115 students
Answer:
115
Step-by-step explanation:
The number of students that should the teacher predict will participate in the program is option C. 108 students
Calculation of the number of students:Since 15% of the students would be interested in a summer creative writing program and there are 720 students
So, the number of students should be
= 15% of 720
= 108
Therefore, The number of students that should the teacher predict will participate in the program is option C. 108 students
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Steven's Diner sold 60 milkshakes last week. 25% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?
Answer:
the answer is 15.
Step-by-step explanation:
you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.
3 ( x + 8) = ?
show work please!!
Answer:
Step-by-step explanation:
3(x + 8)
3x + 24
That's all I got. The image is so blurry that I am uncertain how to proceed.
If you are able to describe what the image says, I can definitely answer the question
Pls pls help meh I just need a simple explanation pls I beg I’ll give brainliest I only need #9
Answer:
x ≈ 47°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{11}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{8}{11}[/tex] ) ≈ 47° ( to the nearest degree )
Will mark as brainliest :)! Suppose that there were a strong correlation between the variables d and t.
Which of these is a true statement?
A. d must not cause f.
B. fmust cause d.
c. d may cause f.
D. d must cause f.
Answer:
c
Step-by-step explanation:
A strong correlations shows evidence of a relationship between the two quantities. It does not necessarily indicate that a change in one variable is causing a change in the other one. There MAY be a causal relationship, but the correlation, by itself, does not prove that.