Answer:
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Step-by-step explanation:
The side opposite to biggest angle is the longest side
In ΔQRS,
∠S > ∠R > ∠Q
∠S is the biggest and ∠ Q is the smallest angle.
So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.
QR > QS > RS
QR = 12.6 cm ; QS = 10 cm and RS = 7 cm
Richard has a debt of $45. Express it in the form of absolute value.
The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
As we know,
The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.
Richard has a debt of $45.
The negative of 45 value represents the debt.
-$45 = debt
Absolute value = |-45| = 45
Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.
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Consider the following graph.
Which statement best describes Cheryl's commute?
A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes
The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Let's assume the graph of Cheryl's commute was like the one below.
We can see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.
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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 , 6
Step-by-step explanation:
Answer: (2,-3), (2, -3)
Step-by-step explanation: Substitute 2 into each equation. See Attachment and don’t forget to check the work just in case ;)
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.
A function assigns the values. The correct option is B and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is 16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,
The distance traveled depends on the amount of time Marlene rides her bike.
The function f(t) = 16t represents the scenario.
Hence, the correct option is B and E.
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Answer:
B and E
Step-by-step explanation:
correct on Edge
at what height will the air pressure equal 50%
Answer:
Im pretty sure its C which is 5776.2m
Step-by-step explanation:
FW = 6 units, X = 3 units, and Y = 5 units, what is the surface area of the figure?
The surface area of the figure is approximately: 178 units².
How to Find the Surface Area of a Figure?The surface area of any figure is the area of all its faces.
Find the area of each face as shown below:
Area of base = w² = 6² = 36 units²
Area of the 4 rectangular faces = 4(6)(3) = 72 units²
Area of the 4 triangular faces = 4[1/2bh]
b = w = 6 units
h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units
Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²
Surface area = 36 + 72 + 69.6 ≈ 178 units²
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The interior angle of the regular pentagon below measures 108°, and the
pentagon has rotational symmetry. What is the following measure of
an interior angle after a 90° rotation around the point of symmetry?
can someone please help mee(20 points and i will give brainliest!!!)
The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.
So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).
What is the product of (6x^2 − 8)(9x^2 – x + 1)?
[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]
Hope it helps
please give brainliest
Suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are more than 72 inches tall?
The percentage of men is more than 72 inches tall will be 0.15866.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
Suppose the mean height for men is 70 inches, with a standard deviation of 2 inches.
Then the percentage of men are more than 72 inches tall will be
z = (72 – 70) / 2
z = 1
The percentage of men is more than 72 inches tall will be
P(x > 72) = P(z > 1)
P(x > 72) = 1 – P(x < 72)
P(x > 72) = 1 – 0.84134
P(x > 72) = 0.15866
Thun, the percentage of men are more than 72 inches tall will be 0.15866.
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Which expression is equivalent to (startfraction 4 m n over m superscript negative 2 baseline n superscript 6 baseline endfraction) superscript negative 2? assume m not-equals 0, n not-equals 0.
The equivalent expression to [tex]\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}[/tex] is given by [tex]=\mathbf{\frac{n^{10}}{16m^6}}[/tex].
From the principle of indices we get,
Addition of exponent, [tex]a^{m+n}=a^m.a^n[/tex]
Subtraction, [tex]a^{m-n}=\frac{a^m}{a^n}[/tex]
Multiplication, [tex]a^{mn}=(a^m)^n[/tex]
negative exponent, [tex]a^{-m}=\frac{1}{a^m}[/tex]
Here in the problem given expression is [tex]\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}[/tex]
Calculating we get,
[tex]\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}[/tex]
[tex]=\left(4m^{1-(-2)}n^{1-6}\right)^{-2}[/tex], using addition and subtraction of indices formulae
[tex]=\left(4m^3n^{-5}\right)^{-2}[/tex]
[tex]=16^{-1}m^{-6}n^{10}[/tex], using multiplication of indices
[tex]=\frac{n^{10}}{16m^6}[/tex], using negative exponent formula
Hence the equivalent required expression is [tex]=\frac{n^{10}}{16m^6}[/tex].
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Answer:
b
Step-by-step explanation:
edge 23
Which is the graph of f(x) = (2)* ?
a graph
I assume you meant to type f(x)=2^x.
answer?...................
Step-by-step explanation:
please mark me as brainlest
Answer:
135
Step-by-step explanation:
2x²/x + x(100 - 15x)
If x = 5 ;
2(5)²/5 + 5(100 - 15×5)
= 2×25/5 + 5(100 - 75)
= 2 × 5 + 5 × 25
= 10 + 125
= 135
In the diagram below, line d is parallel to line c.
Which statement is true?
A
m∠1+m∠2=162∘
B
m∠1+m∠2=172∘
C
m∠1+m∠2=180∘
D
m∠1+m∠2=188∘
Answer:
85° = ∠x {corresponding angles}
∠x = ∠1 {vertically opp. angles}
And, ∠2 + 103° = 180° ( co-interior angles)
∠2 = 180° - 103°
∠2 = 77°
Now, m∠1 + m∠2 = 85° + 77°
= 162°
Hemce, option A. is the right answer.
All of the details to the question are in the picture that is attached in this question, please help
Answer: 10
The arc length of the semicircle is
a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10
As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.
So,
(42/180)(5a+10)=a+4
42(5a+10)=180(a+4) [multiply both sides by 180]
210a+420=180a+720 [distributive property]
30a+420=720 [subtract 180a from both sides]
30a=300 [subtract 420 from both sides]
a=10 [divide both sides by 30]
Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1. What is the equation of function g? g(x) = f(x)
An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.
The equation for f(x) from the given graph can be written as,
[tex]f(x)=e^{(\ln2)x}-2[/tex]
Now, similarly from the graph the function of g(x) can be written as,
[tex]g(x)=-3e^{(\ln2)x}+6[/tex]
Further, the equation of function g(x) in terms of f(x) can be written as,
g(x) = -3[f(x)]
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Step-by-step explanation: I got it right!
Last week, you went to the water park with friends on Monday, Wednesday, and Friday. If you stayed at the water park 3.5 hours each of those days, how many hours did you spend at the water park last week?
A. 15 hours
B. 9 hours
C. 5.5 hours
D. 10.5 hours
Answer: D. 10.5 hours
Step-by-step explanation:
3 days, 3.5 hours each
3.5 * 3 = 10.5 hours
Answer:
D. 10.5
Step-by-step explanation:
3.5 x 3 = 10.5
The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?
Answer:
b = 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here ( h, k ) = (2, 5 ) , then
y = a(x - 2)² + 5
to find a substitute any point on the parabola into the equation
using (0, 1 ) then
1 = a(0 - 2)² + 5 ( subtract 5 from both sides )
- 4= a(- 2)²= 4a ( divide both sides by 4 )
- 1 = a
then
y = - ( x - 2)² + 5
= - (x² - 4x + 4) + 5
= - x² + 4x - 4 + 5
= - x² + 4x + 1 ← in the form ax² + bx + c
with b = 4
Which number has a repeating decimal form?
O A.
[tex] \sqrt{15} [/tex]
OB.
[tex] \frac{11}{25} [/tex]
O C.
[tex] \frac{3}{20} [/tex]
O D.
[tex] \frac{2}{6} [/tex]
Answer:
D. [tex] \frac{2}{6} [/tex]
Step-by-step explanation:
2÷ 6 = 0.33333
As you can see 3 is repeating.
Therefore [tex] \frac{2}{6} [/tex] as repeating decimal form.
Please help due in soon
1) Rotate triangle A 90° clockwise around O
C (5, 6) ⇒ D (1, 2)
2) Move triangle A' 6 spaces to the right
O (1, 6) ⇒ O' (7, 6)
D (1, 2) ⇒ D' (7, 2)
So Shape A ⇒ Shape B
Can somebody help me, i would really appreciate it!!
It will take 5 seconds for the waste to hit the ground.
How many seconds will it take for the waste to hit the ground?We know that the bird releases the waste from a height of 400ft, so the height equation is:
[tex]h(t) = -16t^2 + 400[/tex]
The waste will hit the ground when its height is equal to zero, so we just need to solve the quadratic equation:
[tex]h(t) = 0 = -16t^2 + 400\\\\16t^2 = 400\\\\t^2 = 400/16 = 25\\\\[/tex]
Now we can apply the square root in both sides:
[tex]t = \sqrt{25} = 5[/tex]
It will take 5 seconds for the waste to hit the ground.
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If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.
Answer:
2
Step-by-step explanation:
y=k/x
58=k/9
k=58×9
k=522
y=522/x
when x=261
y=522/261
y=2
can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-3, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [-5 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ -3, 1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ -5,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Drag each tile to the correct box.
A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria, the person will fall sick. Let’s suppose 100 such bacteria entered a person’s blood. How many hours will it take for the person to become sick? Arrange the steps in the right order to show how to find the number of hours it will take for the person to fall sick.
The steps arranged in the right order are:
45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]
45,000,000 = [tex]100(2.5)^{t}[/tex]
450,000 = [tex](2.5)^{t}[/tex]
log 450,000 = log [tex](2.5)^{t}[/tex]
log 450,000 = log t (2.5)
[tex]\frac{log 450,000}{log 2.5} = t[/tex]
5.632 / 0.3979 = t
t = 14.21 hours
What are the correct steps?The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:
FV = P(1 + r)^t
Where:
FV = future value of the bacteria PV = present population r = rate of increase t = number of hours45,000,000 = 100( 2.5)^t
t = log 450,000 / log 2.5
t = 14.21 hours
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What is the value of f(1)?
0
1
2
4
Answer:
Solution*-1
Step-by-step explanation:
because 1 is the value of (1)
the number of people with one type of flu doubles every day for several days what type of function represents this pattern
Answer:
The answer will be Exponential growth.
Please mark me as the brainliest.
Answer:
exponential growth
Step-by-step explanation:
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table:
Male Female
Type A 65 85
Type B 38 12
Male type B = Type B Male/Total Male
Female type B = 38/(65+38) = 12/103 = 0.11
Male or Type B= Male + Type B female/ total
= 103+12/(97+103)= 135/200 = 0.675
P(Male or Type B) > P(Male |Type B)
Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
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If a || b and b I y then
Please help look at picture
Answer:
Abbly non of them your question is wrwon
. If we start with one bacterium and it doubles in
number every 15 minutes, HOW LONG WILL IT
TAKE for one bacterium to become one million??
Answer:
298.97 minutes
Step-by-step explanation:
2^x = 1 000 000 where 'x' is the number of 15 minute periods
x = 19.931 15 minute periods = 298.97 minutes
Find the length of side BC.
Give your answer to 3 significant figures
Answer:
[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]
Step-by-step explanation:
Given:θ = 71°
Adjacent = AB = 6.3 cm
Required:Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]
