The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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answer it please!!!!
Answer:
the answer is B
Step-by-step explanation:
I used photo math it shows the correct answer
Answer:
2nd one (B)
Step-by-step explanation:
Which expression is equivalent to 3√64ab²c³?
2abc²[√4a²b³c]
4a²b²c³ (3√5)
8a³b³c¹ (3√/bc)
8a²b²c³(3√/b)
Answer:
[tex]4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]
Step-by-step explanation:
**Please note that the expression quoted in the question is likely incorrect (see attachment)**
Assuming the expression is:
[tex]\sqrt[3]{64a^6b^7c^9}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}{ \cdot \sqrt{b}[/tex]
[tex]\implies \sqrt[3]{64} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]
Rewrite 64 as 4³:
[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \sf to\:\:b^7[/tex]
[tex]\implies b^7=b^{6+1}=b^6b^1=b^6b[/tex]
Therefore:
[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}b}\cdot \sqrt[3]{c^9}[/tex]
[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}}\cdot \sqrt[3]{b}\cdot \sqrt[3]{c^9}[/tex]
[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]
[tex]\implies 4^{\frac{3}{3}} \cdot a^{\frac{6}{3}} \cdot b^{\frac{6}{3}} \cdot \sqrt[3]{b} \cdot c^{\frac{9}{3}}[/tex]
Simplify:
[tex]\implies 4^1 \cdot a^2 \cdot b^2 \cdot \sqrt[3]{b} \cdot c^3[/tex]
[tex]\implies 4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]
The expression is seemed to have none of the above solutions
Answer all the questions. 1 The first three terms in a sequence of numbers, T1, T2, T3,... are given below: (a) T₁=1+3=4 T₂=4+5=9 T3=9+7=16 Find T4. Answer T4=
Answer:
16 + 9 = 25
Step-by-step explanation:
For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)
And that the first number of each term increases by the value of the second term
(1 increases by 3; 4 increases by 5)
we can follow out these two observations to find T4
the first term (9) will increase by the value of the second term (7)
{the sum of the previous term is the first number}
so the first number of T4 will be 16.
Because we left off on +7, we are now on +9
so, T4 is
16 + 9 {and then do the math accordingly}
16 + 9 = 25
So, T4 is
16 + 9 = 25
hope this helps!! have a lovely day!! :)
Is in between 2 number on the number line
Answer:
3 and 4
Step-by-step explanation:
well you can approximate by squaring values
2^2 = 4
3^2 = 9
4^2 = 16
the value should fall somewhere between 3 and 4 since the square root of 9 is 3 and the square root of 16 is 4
Find the relationship between zeros and intercepts of the polynomial m2 + 5m + 4.
They are equal to zero
They are same
They are different
They are opposites
The zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.
Intercepts and zero of a functionA quadratic function is a function that has a degree of 2.
Given the following equation
f(m) = m^2 + 5m + 4
The x-intercept occurs at the point where f(m) is zero and same is applicable to the zeros of the function.
This shows that the zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.
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A solid right pyramid has a square base with an edge
length of x cm and a height of y cm.
X
Which expression represents the volume of the
pyramid?
O1/3 xy cm³
O1/3 x²y cm³
O1/2 xy² cm³
O1/2 x²y cm³
The correct answer is option D which is the volume of the square pyramid will be [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].
What is a square pyramid?A solid made up of a square base and four triangles connected side by side and meet at the same edge is called a square pyramid.
Given that:-
The side of the square base is x cmThe height of the pyramid is y cm.The volume of the pyramid will be calculated as:-
Volume = [tex]\dfrac{1}{2}[/tex] x Length of square pyramid x Height
Volume = [tex]\dfrac{1}{2}[/tex] x (x)² x y
Volume = [tex]\dfrac{1}{2}[/tex] x²y
Therefore the correct answer is option D which is the volume of the square pyramid will be [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].
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There are 8 kids at a birthday party. If there are 6 girls and 2 boys at a party what fraction of the kids are girls?
Okay, so out of 8 kids, we know that 6/8 are girls and 2/8 are boys. Its asking us what fraction of the kids are girls. The denominator (the bottom part of the fraction will be the amount of kids at the party, 8) and the top part, the numerator, will be 6 as there are 6 girls at the party of the 8 attendees.
So the fraction is 6/8. However we can reduce this by dividing both sides of the fraction by a common factor, 2!
So your final answer is 3/4.
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if the ratio of the sides of a triangle are 13:14:15 and its perimeter is 84 cm, find the area of the triangle.
Answer:
The ratio of sides of triangle = 13:14:15
perimeter = 84 CM
perimeter of a triangle = Sum of all sides
let the sides of a triangle be 13x, 14x and 15x
84 = 13x + 14x + 15x
84 = 42x
x = 2
13x = 13* 2 = 26 CM
14x = 14*2 = 28 CM
15x = 15*2 = 30 CM
if f(x)=-3x-5 and g(x)=4x-2 find (f-g) (x)
If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.
The given functions are f(x)=-3x-5 and g(x)=4x-2.
We need to find the value of (f-g)(x)
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)
= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)
= -7x-3
Therefore, the value of (f-g) (x) is -7x-3.
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help me nowwwwwwwwww
The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°
Angles in a polygonFrom the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room
The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.
First, we will calculate the sum of angles in a heptagon
The sum of angles in a polygon is given by the formula
Sum of angles in a polygon = (n-2)180°
Where n is the number of sides
For a heptagon, n = 7
∴ Sum of angles in a heptagon = (7-2)180°
= 5×180°
= 900°
Now, considering the given diagram, we can write that
x + x + x + x + x + 90° + 90° = 900°
5x + 180° = 900°
5x = 900° - 180°
5x = 720°
x = 720°/5
x = 144°
Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°
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1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?
2. What is the probability of drawing E?
3. What is the probability of drawing a vowel?
4. What is the probability of drawing a consonant?
5. What is the probability of drawing P?
Answer:
4
Step-by-step explanation:
5
How would you answer this question?
Answer:
32
Step-by-step explanation:
the pattern of sticks from the first 3 diagrams is
7 , 12 , 17 ,..
note the pattern increases by 5 each time , then continue by adding 5 to the previous value.
4th = 17 + 5 = 22
5th = 22 + 5 = 27
6th = 27 + 5 = 32
solve : y+3=10 solve the question
Answer:
y+3=10
solution,
y+3=10
y+3-3=10-3
y=7
thus,
y=7ans
Which of the data sets below has a range of 18? Select all that apply.
A) 37, 34, 22, 28, 19, 25
B) 34, 22, 18, 19, 31, 33
C) 95, 79, 83, 88, 81, 99
D) 17, 26, 17, 18, 26, 31
E) 55, 43, 49, 61, 58, 54
Answer:
A) 37, 34, 22, 28, 19, 25
E) 55, 43, 49, 61, 58, 54
Step-by-step explanation:
The range of a set of data is the largest number minus the smallest number
A) 37, 34, 22, 28, 19, 25
37 - 19 =18
Range is 18
B) 34, 22, 18, 19, 31, 33
34 - 18 =16
Range is 16
C) 95, 79, 83, 88, 81, 99
95 - 81 =14
Range is 14
D) 17, 26, 17, 18, 26, 31
31-17 =14
Range is 14
E) 55, 43, 49, 61, 58, 54
61 - 43 =18
Range is 18
mulitiply both sides of this equation by r and use the fact that r2=x2+y2 to rewrite this equation in terms of x and y r=-6sin theta
The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of the expression will be given as:-
r³ = r(x² + y²)
( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)
216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]
Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex].
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need help on this question
Answer:
3.5 and 3½
Step-by-step explanation:
Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.
A.P.E.X Algebra 1 Sem 2
Answer:
Data Set C
Step-by-step explanation:
You can see that the data is best fit and better looking and fitting to the line in the data set C.
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
The correct option is Option A: x > 38° this statement about x value is true.
Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.
Given the angle ∠NPO= 38°
∠PON= 39°
As we know the exterior angle is the sum of the two farthest interior angles of the triangle.
Then we can write the angle ∠PNM as
So, ∠PNM = ∠NPO + ∠PON
⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}
{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}
As x=77°
which satisfies the relation x=77° >38°.
Therefore,The correct option is Option A: x > 38° this statement about x value is true.
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can someone help me here pls thanks!
Using proportions, it is found that the measure of the inscribed angle B is of 30º.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:
m<B = 0.5 x 60º = 30º.
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Answer:
Using proportions, it is found that the measure of the inscribed angle B is of 30º.
Step-by-step explanation:
If c = 7, then the value of b is...
3.5
Step-by-step explanation:The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.
Special Right Triangles
Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.
Formulas
30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).
The formulas are as follows:
c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]Solving for b
We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.
b = 0.5(7)Once simplified the final answer is
b = 3.5How could you solve this problem?
2 × 3 × 4
Check all that are true.
Multiply 3 × 4 to get 12 and then multiply 12 × 6.
Multiply 2 × 3 to get 6 and then multiply 6 × 12.
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.
Step-by-step explanation:
multiply 2×3 to get 6 and then multiply 6×4
or
multiply 3×4 to get 12 and then multiply 12×2
Two towns that are 32 km apart are 8 cm on a map. What is the scale of the map?
This question is urgent, I have grade 8 final exams tomorrow and I'm struggling with this type of question.
If two towns that are 32 km apart are 8 cm on a map. Then the scale factor will be 1 cm = 4 km.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Two towns that are 32 km apart are 8 cm on a map.
Then the scale factor will be
8 cm = 32 km
1 cm = 4 km
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i have 25 coins. some of them are dimes, and some of them are
quarters. in total, i have $5.20. how many dimes and how many
quarters do i have?
Answer:
18 quarters7 dimesStep-by-step explanation:
The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.
__
setupLet d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...
d + q = 25
and their total value is ...
0.10d +0.25q = 5.20
solutionUsing the first equation to write an expression for d, we can substitute that into the second equation.
d = 25 -q
0.10(25 -q) +0.25q = 5.20
0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50
q = 18 . . . . . . . . . . . divide by 0.15
d = 25 -q = 7
You have 18 quarters and 7 dimes.
_____
Additional comment
It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
A. 1:1
B. 1:7
C. 1:8
D. 7:1
Answer:
a
Step-by-step explanation:
What is the length of segment AB?
7
9
18
25
Answer:
Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.
Step-by-step explanation:
By lisa Simpson
Answer:
9
Step-by-step explanation:
A car drives at a speed of 90 km/h for 2 hours and 20 minutes
How far does the car drive?
Answer:
210km
Step-by-step explanation:
2hours = 180km
2hours = 120minutes
40mins =180/3
=60km
20mins=60/2
=30km
2h and 20mins =30+180
=210km
Answer:
210kms
Step-by-step explanation:
Speed of the car per hour = 90km/h
or, speed of the car per minute = 90/60kms=1.5km/minute
Now,
car drives for 2hours and 20 minutes
or, (2*60 +20) minutes= 140minutes
Distance of the car drive= minutes travelled* speed per minute
= 140*1.5kms
=210kms
sin2pheta/sinpheta + 1+cos2pheta/cospheta =
4sinpheta
4cospheta
2cospheta
2sinpheta
Answer:
4cos(θ)
{4cospheta}
Answer:
4cos(θ)
{4cospheta}
Step-by-step explanation:
[note, brainly doesn't allow pheta to be entered as a symbol when writing an equation, so I had to write it out, my apologies]
[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}+\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\\[/tex]
[tex]\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\ = 2\cos \left(pheta\right)[/tex]
[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}=2\cos \left(pheta\right)[/tex]
2cos(θ) + 2cos(θ) = 4cos(θ)
so, 4cos(θ) is your answer
(4cospheta)
hope this helps!! :)
The width of a rectangle measures (10u + 3) centimeters, and its length measures (7u - 8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? The width of a rectangle measures ( 10u + 3 ) centimeters , and its length measures ( 7u - 8 ) centimeters . Which expression represents the perimeter , in centimeters , of the rectangle ?
Answer:
Perimeter of a rectangle: 2L + 2W
2(7u - 8) + 2(10u + 3)
= 14u - 16 + 20u + 6
= 34u - 10
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The perimeter of a rectangle.
P = 2 ( length + width)
The perimeter of the rectangle is represented by the expression
(34u - 10) centimeters.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The width of a rectangle = (10u + 3) centimeters.
The length of the rectangle = (7u - 8) centimeters.
The perimeter of a rectangle is given as,
P = 2 ( length + width)
P = 2 ( 7u - 8 + 10u + 3)
P = 2 (17u - 5)
P = (34u - 10) centimeters.
Thus,
The perimeter of the rectangle is represented by the expression
(34u - 10) centimeters.
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Using circle P with a radius of 7 cm, find the EXACT
measure/length for each of the following.
8.
9
10
11.
12
The diameter of circle P
The circumference of circle P
The area of circle P
The length of RS
The area of sector MPR
P
45
30
S
M
R
Answer:
8. 14
9. 14π
10. 49π
11. 1.75π
12. [tex]\frac{49}{12}[/tex] π
Step-by-step explanation:
If the radius is 7, the diameter is 14.
Circumference is pi * diameter, so 14π
Area is π r², so 49π
Arc length is [tex]\frac{n}{360}[/tex] * 2πr, so [tex]\frac{45}{360}[/tex] * 14π = 1.75π
Sector Area is [tex]\frac{n}{360}[/tex] * πr², so [tex]\frac{30}{360}[/tex] * 49π = [tex]\frac{49}{12}[/tex]π
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
D
Step-by-step explanation: