[tex]4^5\cdot4^7=4^{5+7}=16,777,216[/tex].
Hope this helps.
The mean duration of a pregnancy is 268 days and the standard deviation is 15 days.
Answer:
If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
hope it helps :)
please mark it the brainliest!
Can someone pls help me
Answer: $1,500
Step-by-step explanation:
Let x represent the total income.
20% of the total amount = 300 --> 0.20x = 300
÷0.20 ÷0.20
x = 1500
Answer:
The total income is $1,500.
Step-by-step explanation:
$300 / 20% = $15 [ budget percent x 15 = budget amount in dollars]
Housing: 10 x 15 = $150
Food: 30 x 15 = $450
Fuel: 15 x 15 = $225
Clothing: 20 x 15 = $300
Health: 15 x 15 = $225
Miscellaneous: 10 x 15 = $150
Total Income: 150+450+225+300+225+150 = $1500
Order of operations: simplify the expression shown below.
Answer:
Step-by-step explanation:
-2(36) - 18 - 8
-72 - 26
-98 is the solution
(4c^4+1)-(7c^3-3)+(2c^4+5c^3)
Answer:
6c^4 - 2c^3 + 4
Step-by-step explanation:
(4c^4 + 1) - (7c^3 - 3) + (2c^4 + 5c^3) = ⇒ parenthesis4c^4 + 1 - 7c^3 + 3 + 2c^4 + 5c^3 = ⇒ simplify, add up like terms6c^4 - 2c^3 + 4 ⇒ answerAnswer: 6[tex]c^{4}[/tex] - 2[tex]c^{3}[/tex] + 4
Step-by-step explanation:
[tex](4c^{4} +1)- (7c^{3} -3)+(2c^{4} + 5c^{3} )[/tex]
[tex]= 4c^{4} +1-7c^{3} +3+2c^{4} +5c^{3}[/tex]
Combine like terms
[tex]= 6c^{4} -2c^{3} + 4[/tex]
Find the area of the triangle.
22 m
14 m
Answer:
Area = 154 m²
Step-by-step explanation:
i pressume base = 14 m
height = 22 m
Area of a triangle = 1/2 * base * height
Area = 1/2 * 14 * 22
Area = 154 m²
The area of the triangle is given by the equation A = 154 m²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the triangle be represented as A
Now , the value of A is
Let the height of the triangle be h
The value of h = 22 m
Let the base of the triangle be b
The value of b = 14 m
Now , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of the triangle A = ( 1/2 ) x 22 x 14
Area of the triangle A = 154 m²
Therefore , the value of A is 154 m²
Hence , the area of the triangle is 154 m²
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Algebra 1 Help pls!
Answer:
t-5 = Ned's age
Step-by-step explanation:
t = teds age
Ted is 5 years older than Ned
t = Ned +5
Subtract 5 from each side
t-5 = Ned
t-5 = Ned's age
ted = 5 tears older than Ned.
ted = t years.
→ t = Ned's age + 5
→ Ned's age + 5 = t
→ Ned's age = t - 5
So,
Then, t - 5 = Ned's age.
Solve the inequality. Explain all steps and identify the properties used. 3a − 4 ≤ 5
Answer:
[tex]\boxed{a \leq 3}[/tex]
Step-by-step explanation:
Hey there!
Well to find "a" we need to single it out.
3a - 4 ≤ 5
+ 4 to both sides
3a ≤ 9
Divide both sides by 3
a ≤ 3
Hope this helps :)
a ≤ 3 is value of a inequality.
What are an example of inequality?
In mathematics, inequalities describe the connection between two values that are not equal. Equal does not imply inequality.Typically, we use the "not equal symbol ()" to denote an inequality between two numbers.But different inequalities are used to compare the values to determine if they are less than or higher than.3a - 4 ≤ 5
+ 4 to both sides
3a ≤ 9
Divide both sides by 3
a ≤ 3
Learn more about inequality
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Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier's number?
Answer:
3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.
Hence |x| can either return +x or -x
If x is positive, the inequality expression will be x<4.
If the value of x is negative, then -x<4
From -x<4
Multiply both sides by minus sign will change the sense of the inequality sign.
-(-x) > -4
x>-4
If x is greater than -4, then -4<x.
Combining both inequality will give;
-4 < x and x<4
-4<x<4
Hence the possible values of Javier's number are integers between -4 and 4.
The values are -3, -2, -1, 0, 1, 2, 3.
You travel from city A to city B and back your trip last five and a half hours and you maintain a speed of 64 miles per hour the entire trip city c, a city you pass on your trip is 49 miles from city B Find the distance between city a and city C
Answer:
401 MILES
Step-by-step explanation:
miles from A to B:
64 * 5.5 = 352 miles
miles from A to C:
352 + 49 = 401 miles
CRITICAL THINKING The weight y (in pounds) of a rainbow trout can be modeled by y = 0.000304x3, where x is the length (in inches) of the trout. a. Write a function that relates the weight y and length x of a rainbow trout when y is measured in kilograms and x is measured in centimeters. Use the fact that 1 kilogram ≈ 2.20 pounds and 1 centimeter ≈ 0.394 inch.
Answer:
[tex]y = 0.01092395604x^3[/tex]
Step-by-step explanation:
Given:
[tex]y = 0.000304x^3[/tex]
Where y is in pounds and x is in inches
Required
Represent y in kilogram and x in centimetre
[tex]y = 0.000304x^3[/tex]
The expression can be rewritten as
[tex](y\ pound) = 0.000304(x\ inch)^3[/tex]
------------------------------------------------------------------------------------------------
If [tex]0.394\ inch= 1\ cm[/tex]
Divide both by 0.394
[tex]\frac{0.394\ inch}{0.394}= \frac{1\ cm}{0.394}[/tex]
[tex]1\ inch= \frac{1\ cm}{0.394}[/tex]
[tex]1\ inch = 2.538\ cm[/tex] (Approximated)
Multiply both sides by x
[tex]x * 1\ inch = 2.538\ cm * x[/tex]
[tex]x \ inch = 2.538x\ cm[/tex]
------------------------------------------------------------------------------------------------
If [tex]2.20\ pound = 1\ kg[/tex]
Divide both by 2.20
[tex]\frac{2.20\ pound}{2.20} = \frac{1\ kg}{2.20}[/tex]
[tex]1\ pound = \frac{1\ kg}{2.20}[/tex]
[tex]1\ pound = 0.455\ kg[/tex] (Approximated)
Multiply both sides by y
[tex]y * 1\ pound = 0.454\ kg * y[/tex]
[tex]y \ pound = 0.454y\ kg[/tex]
------------------------------------------------------------------------------------------------
Substitute 0.455y kg for y pound and 2.538x cm for x inch in [tex](y\ pound) = 0.000304(x\ inch)^3[/tex]
[tex]0.454y = 0.000304(2.538x)^3[/tex]
[tex]0.454y = 0.000304(16.35x^3)[/tex] Approximated
[tex]0.454y = 0.0049704x^3[/tex]
Divide both sides by 0.455
[tex]\frac{0.455y}{0.455} = \frac{0.0049704x^3}{0.455}[/tex]
[tex]y = \frac{0.0049704x^3}{0.455}[/tex]
[tex]y = 0.01092395604x^3[/tex]
NEED HELP ASAP ALGEBRA 2
Answer:
b = sqrt(161)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 15^2
64 + b^2 = 225
Subtract 64 from each side
b^2 = 225-64
b^2 =161
Take the square root of each side
sqrt(b^2) = sqrt(161)
b = sqrt(161)
Find the volume of the figure below. :)
Answer:
875 ft³
Step-by-step explanation:
First, let's break it down into three different sections.
Starting with the cube on the bottom and then the rest of the Rectangular Prism.
The formula for Volume Cube V = a³
The formula for Volume of Rectangular Prism: V = lwh
From the picture we can see that the bottom is a cube with a lenght of 5 ft thus V = 5³ = 125 ft³
The second Rectangular Prism in the middle has a lenght of 20 ft (15 + 5), a width of 5 ft and a height of 5 ft. Use the formula above 20x5x5 = 500 ft³
The top Rectangular Prism has a lenght & with of 5 ft and a height of 10 ft.
So again 5x5x10 = 250 ft³
Now all we need is to add them all together:
125 + 500 + 250 = 875 ft³
Answer:
e
Step-by-step explanation:
Mr. Lopez bought 17 boxes of ceramic tiles for his patio. Each box contains 24 tiles. He also bought 32 glass tiles. He broke 13 tiles. Which expression shows the best estimate of the total number of tiles Mr. Lopez has now to cover his patio? Please help.
Answer:
17⋅24+32-13=427
Step-by-step explanation:
17⋅24=408 408+32=440 440-13=427
What algebraic expression represents GK? If GK =37, what are GH and JK? 4x+2=GH and 6x-1=HK
Answer:
GK = 10x+1
GH = 16.4
HK = 20.6
Step-by-step explanation:
Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK
Substituting the functions into the formula we will have:
GK = 4x+2 + 6x-1
collect like terms
GK = 4x+6x +2-1
GK = 10x+1
The algebraic expression that represents GK is 10x+1.
To get the value of x, since GK = 37
10x+1 = 37
10x = 37-1
10x = 36
x = 36/10
x = 3.6
Since GH =4x+2, substitute x = 3.6 into the function
GH = 4(3.6)+2
GH = 14.4+2
GH = 16.4
Also HK = 6x-1
HK = 6(3.6)-1
HK = 21.6-1
HK = 20.6
Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6
Why is looking at cash flow an important step in a good financial plan?
Answer:
Why is looking at cash flow an important step in a good financial plan ? At the most fundamental level, a company's ability to create value for shareholders is determined by its ability to generate positive cash flows, or more specifically, maximize long-term free cash flow
Step-by-step explanation:
Answer:
Well,
Step-by-step explanation:
First, we need it so we don't get in low finical areas and owe the government tons of money. We also need it for our houses and if you start checking your cash flow and you see its low and you want to make it higher than that helps too! But, its very good for your bank account and helps you grow ideas to your financial plan. Hopes this helps!
please help me!!!!!!!!!!!!!
Answer: see proof below
Step-by-step explanation:
Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)
cot (A/2) = (sinA)/(1 - cosA)
Use the Pythagorean Identity: cos²A + sin²B = 1
Use Unit Circle to evaluate: cos 45° = sin 45° = [tex]\frac{\sqrt2}{2}[/tex]
Proof LHS → RHS
Given: [tex]cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o[/tex]
Rewrite Fraction: [tex]cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o[/tex]
Half-Angle Identity: [tex]\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}[/tex]
Substitute: [tex]\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}[/tex]
Simplify: [tex]\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}[/tex]
[tex]=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}[/tex]
[tex]=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)[/tex]
[tex]=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}[/tex]
[tex]=\dfrac{4}{2}[/tex]
= 2
LHS = RHS: 2 = 2 [tex]\checkmark[/tex]
the sum of a two digit number is 10. the value of the number is 16 times the units digit. find the number
Answer:
64
Step-by-step explanation:
Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.
For instance , 54, a = 5 and b =4
The number can be written 10*a+b (54=5*10+4, for instance)
The sum of a two digit number is 10.
a + b = 10
The value of the number is 16 times the units digit.
10a + b = 16b <=> 10a = 16b - b = 15b
[tex]<=> a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\<=> \dfrac{2+3}{2}a = 15\\\\<=> 5a=30 <=> a = 6[/tex]
and then, b = 10 - 6 = 4.
So the solution is 64.
Thank you
What is the value of y
Answer:
y = 5.6Step-by-step explanation:
From Thales' theorem:
[tex]\dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6[/tex]
If a lifeguard earns $320 per week how much money does he earn in a hour
Answer:
about $1.90
Step-by-step explanation:
$320 per week.
There are 168 hours in a week.
$320 divided by 168 hours = about $1.90 an hour
Check: $1.90 x 168= $319.2 (rounded to $320)
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) −9 −6 6 9
Answer: The answer is y=9 i did the math twice to make sure.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
The equation is in the form:
Ax + By =C
3x + 2y = 18
y-intercept = C/B = 18/2 = 9
helppp........!!!,,,ASAP
Answer:
Its a rational number
Step-by-step explanation:
because a rational number has fractions and -22 is a fraction or a decimal
How to solve this problem
Answer:
28
Step-by-step explanation:
After substituting -2 for m and 5 for n, the original expression becomes:
|(-2)^2 - 7| + (5)^2, or
|4 - 7| + 25 or
|-3| + 25 = 28
The 6 in the number 6,140 has a value __-- 648. times greater than the 6 in the number
Answer:
1,000 because it's in the thousands place
Step-by-step explanation:
In baseball, the equation E=9R/I a pitcher's earned run average E, where R is the number of earned runs the player allowed and I is the number of innings pitched. Last season, a pitcher had an earned run average of 2.80 and allowed 70 earned runs. How many innings did the pitcher pitch last season?
Answer:
The innings pitched last season is 225.
Step-by-step explanation:
Given that,
Earned run average = 2.80
Allowed earned run = 70
The given equation is
[tex]E=\dfrac{9R}{I}[/tex]
We need to calculate the innings pitched last season
Using given equation
[tex]E=\dfrac{9R}{I}[/tex]
[tex]I=\dfrac{9R}{E}[/tex]
Where, E = earned run
R = allowed earned run
I = innings pitch
Put the value into the formula
[tex]I=\dfrac{9\times70}{2.80}[/tex]
[tex]I=225[/tex]
Hence, The innings pitched last season is 225.
8x + 3y-2х -у I’m trying to combine like terms plz help me
Answer:
6x+2y just add them lol
Step-by-step explanation:
Answer:
8x + 3y - 2x - y
8x - 2x + 3y -y
6x - 3y
is your answer
brain list plzzz
find the slope of the line through each pair of points (1/2,0) and (0,4/7)
The line crosses (1/2,0) and (0,4/7)
Let m be the slope of this line
● m = [0-(4/7)]/[(1/2)-0)]
● m = (-4/7)/(1/2)
● m = (-4×2)/7
● m = -8/7
So the slope of this line is -8/7
HELP WILL MARK AS BRAINLIEST
Answer:
37.68cm (i used 3.14 for pi)
Can someone help me please
Answer:
8.17.4 miles per 1 gallons 9. 2 miles per second.
Step-by-step explanation:
so you have yo divide 384 divided by 22 then boom.
Once again you have to divide 60 which is 1 hour (60 minutes is an hour) to the 32 miles. :)
Problem 8
Answer: Approximately 17.45 miles per gallon-----------------------
Explanation:
You divide the number of miles over the number of gallons to get this result
384/22 = 17.45
Another way you could think of it is to say
384 miles = 22 gallons
Then you divide both sides by 22 getting
17.45 miles = 1 gallon
Showing that 1 gallon of gas gets you roughly 17.45 miles
=============================================
Problem 9
Answer: Approximately 46.933 feet per second---------------------
Explanation:
Check out the attached diagram below. For the first column, I placed "32 miles" over "1 hour" to indicate "32 miles per hour". The second column is from the idea that 1 hour = 60 minutes. This helps us convert from hours to minutes. Note how the "hour" units cancel when we divide.
The third column helps us convert from minutes to seconds. We have the "minutes" units cancel out when they divide. It's important that one "minute" unit is on top, and the other is on the bottom. Finally, the last column helps us convert from miles to feet since 1 mile = 5280 feet.
Once this table formed, you multiply the numbers across the top to get 32*1*1*5280 = 168960
And you multiply everything along the bottom row: 1*60*60*1 = 3600
The last step is to divide the two results (top row over bottom row) getting
168960/3600 = 46.933 approximately
So 32 mph converts to roughly 46.933 ft per second.
Side note: the conversion method I used is called the "railroad method" or "railroad tracks method" as the table lines form what appears to be railroad tracks of sorts.
Suppose the population of a certain state is 6,215,000. If 435,050 are children under 5 years of age, 4,972,00 are between the ages of 5 and 65, and 807,950 are over 65, what percentage of people make up each age group?
(A) under 5: ___
(B) between 5 and 65: ___
(C) over 65: ___
Answer:
A) 435,050/6,215,000= 0.07= 7%
B) 4,972,000/6,215,000= 0.8= 80%
C) 6,215,000-(4,972,000+435,050)= 807,950
807,950/6,215,000=0.13=13%
Please help me 20 points
Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? Given the Cos Θ = 4/5, how would you use it to find the sine and tangent values of the angle? Explain.
Answer:
[tex]sin\theta =\pm\dfrac{4}{5}\\tan\theta =\pm\dfrac{3}{4}[/tex]
Step-by-step explanation:
Kindly refer to the attached image of a right angled [tex]\triangle ABC[/tex].
Let [tex]\angle C = \theta[/tex]
Sides BC = a
AB = c and
AC = b respectively.
To prove:
[tex]sin^2\theta+cos^2\theta =1[/tex]
Proof:
Using Sine and Cosine values:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta =\dfrac{AB}{AC} = \dfrac{c}{b }[/tex]
[tex]cos\theta =\dfrac{Base}{Hypotenuse}\\\Rightarrow cos\theta =\dfrac{BC}{AC} = \dfrac{a}{b}[/tex]
As per Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow b^{2} = a^{2} + c^{2} .......... (1)[/tex]
Considering the LHS of [tex]sin^2\theta+cos^2\theta =1[/tex]:
[tex](\frac{c}{b})^2+(\frac{a}{b})^2\\\Rightarrow \frac{c^2+a^2}{b^2}[/tex]
Now, using equation (1):
[tex]\Rightarrow \dfrac{b^2}{b^2} = 1 = RHS[/tex]
Hence, proved that : [tex]sin^2\theta+cos^2\theta =1[/tex]
Now, we are given that:
[tex]cos\theta =\frac{4}{5}[/tex]
To find, sine and cosine values of the angle i.e. [tex]sin\theta = ?[/tex] and [tex]tan\theta = ?[/tex]
Using [tex]sin^2\theta+cos^2\theta =1[/tex]:
[tex]sin^2\theta+(\dfrac{4}{5})^2 =1\\\Rightarrow sin^2\theta = \dfrac{9}{25}\\\Rightarrow sin\theta = \pm \dfrac{3}{5}[/tex]
We know that:
[tex]tan\theta =\dfrac{sin\theta}{cos\theta}\\\Rightarrow tan\theta =\pm \dfrac{\dfrac{3}{5}}{\dfrac{4}{5}}\\\Rightarrow \bold{tan\theta =\pm \dfrac{3}{4}}[/tex]