Answer:
138.75 lb
Step-by-step explanation:
75% as a percentage is 0.75.
185(0.75) = 138.75
Name the plane that is highlighted in the diagram below.
Answer:
Rectangular Cross Section Surface
An object is removed from a hot oven left to cool. After t minutes, the difference between
Answer:
finish quesiton please <3
Step-by-step explanation:
Determine if the expression
y
3
10
10
y
3
is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The expression y3¹⁰ - 10y³ is a binomial polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A binomial is a two-term polynomial. For instance, x²ˣ-2ˣ² and x⁶ˣ-6ˣ⁶ are both binomials.In the given situation y3¹⁰ - 10y³ is a binomial polynomial as there are two terms in the expression.
Therefore, the expression y3¹⁰ - 10y³ is a binomial polynomial.
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Write an equation with a constant and a coefficient and variable where the variable will be equal to four after solving it
Answer:
hi I jgkjglhlih
Step-by-step explanation:
I've ok h l
A grahp is a straight line the point (0.5) can the graph represent a proporttional relationship?
Answer:
No, for a graph to be proportional it needs to go through the point (0.0)
Step-by-step explanation:
Which two charges have a sum of 0? (1 point) a +7 charge and +7 charge b −7 charge and −7 charge c +7 charge and −7 charge d +7 charge and 0 charge
The charges which sum up to 0 are +7 charge and −7 charge.
What are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given:
two charges have a sum of 0
So, taking one by one the pairs of option are
+7 charge and +7 charge
=+ 14 charge
−7 charge and −7 charge
=-14 charge
−7 charge d +7 charge
=0 charge
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Use the diagram to find the angle measures that satisfy each case. Find the measures of all 4 angles if m<2-m<1=30 degrees
The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
How to use the diagram to find the angle measures that satisfy each case?The diagram that completes the question is added as an attachment
From the diagram, we have
<1 + <2 = 180 degrees --- supplementary angles
Given that
<2 - <1 = 30 degrees
Add the above equations
So, we have
2<2 = 210
Divide both sides by 2
<2 = 105
Substitute <2 = 105 in <2 - <1 = 30
So, we have
105 - <1 = 30
Evaluate
<1 = 85
Also, we have
<3 = <1
<4 = <2
This means that
<3 = 85
<4 = 105
Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
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NO LINKS!!
Plot the points and find the perimeter and area of each polygon
Answer:
11. 17.7 units
12. 24.7 units
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
To find the perimeter of a polygon, sum the lengths of its sides.
Use the distance formula to find the length of each side.
[tex]\boxed{\begin{minipage}{4.7 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]
Question 11Given points:
A = (-2, 1)B = (2, 5)C = (5, 1)Use the distance formula to find the length of each side of ABC:
[tex]\begin{aligned}AB & = \sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& = \sqrt{(2-(-2))^2+(5-1)^2}\\& = \sqrt{4^2+4^2}\\& = \sqrt{16+16}\\& = \sqrt{32}\end{aligned}[/tex]
[tex]\begin{aligned}BC & = \sqrt{(x_C-x_B)^2+(y_C-y_B)^2}\\& = \sqrt{(5-2)^2+(1-5)^2}\\& = \sqrt{3^2+(-4)^2}\\& = \sqrt{9+16}\\& = \sqrt{25}\\& = 5\end{aligned}[/tex]
[tex]\begin{aligned}AC & = \sqrt{(x_C-x_A)^2+(y_C-y_A)^2}\\& = \sqrt{(5-(-2))^2+(1-1)^2}\\ & = \sqrt{7^2+0^2}\\ & = \sqrt{49}\\ & = 7\end{aligned}[/tex]
To find the perimeter, sum the sides:
[tex]\begin{aligned}\sf Perimeter & = AB+BC+AC\\& = \sqrt{32}+5+7\\& = 4\sqrt{2}+12\\& = 17.7\;\sf units\;(nearest\:tenth)\end{aligned}[/tex]
Question 12Given points:
A = (-3, 5)B = (1, 6)C = (3, -2)D = (-1, -3)After plotting the given points, it is clear that the polygon is a parallelogram. As the opposite sides of a parallelogram are equal in length:
AB = DCBC = ADTherefore, we only need to find the length of two sides to calculate the perimeter.
Use the distance formula to find AB and BC:
[tex]\begin{aligned}AB & = \sqrt{(1-(-3))^2+(6-5)^2}\\& = \sqrt{4^2+1^2}\\& = \sqrt{16+1}\\& = \sqrt{17}\end{aligned}[/tex]
[tex]\begin{aligned}BC & = \sqrt{(3-1)^2+(-2-6)^2}\\& = \sqrt{2^2+(-8)^2}\\& = \sqrt{4+64}\\& = \sqrt{68}\end{aligned}[/tex]
Therefore, the perimeter of ABCD is:
[tex]\begin{aligned}\sf Perimeter & = 2(AB+BC)\\& = 2(\sqrt{17}+\sqrt{68})\\& = 6\sqrt{17}\\& =24.7\;\sf units\;(nearest\:tenth)\end{aligned}[/tex]
please help !!
I will really appreciate it!
thank youuu
Step-by-step explanation:
f(g(x)) simply means that g(x) is embedded in f(x) as the input value for f(x).
f(g(x)) = 3(7x + 6) - 1 = 21x + 18 - 1 = 21x + 17
c. is the right answer
g(f(x)) is the other way around. f(x) is now the input value for g(x).
g(f(x)) = 7(3x - 1) + 6 = 21x - 7 + 6 = 21x - 1
a. is the right answer
Given the diagram of the right angle below, find the value for x. Enter a number only.
(12x-30)° (3x)°
Answer:
x= 8
Step-by-step explanation:
Sum of the two angles = 90
12x - 30 + 3x = 90
15x -30 = 90
15x = 90 + 30
15x = 120
x = 120/15 = 8
A blimp can be seen flying at an altitude of 7200 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the start-finish line is d feet. Express the horizontal distance h as a function of d.
The horizontal distance as a function of d can be given as h = √(d + 7200) (d - 7200).
It is given in the question that:
Height at which blimp is flying (AB)= 7200 feet
The slanted distance to the pagoda (BC) = d feet
The horizontal distance (AC) = h
Let the angle made between slanted distance and horizontal distance be θ.
So, cosθ = AC/BC
cosθ = h/d
and also, sinθ = AB/BC
sinθ = 7200/d
Now, we know from the first trigonometric identity that cos²θ = 1 - sin²θ.
=> (h/d)² = 1 - (7200/d)²
=> (h/d)² = (d² - 7200)/d²
=> h² = d² - 7200
=> h = √(d² - 7200)
=> h = √(d + 7200) (d - 7200)
Thus, the horizontal distance as a function of d can be given as h = √(d + 7200) (d - 7200).
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If the per capita growth rate of the world population continues to be what it was in the year 2016, the world population t years after July 1, 2016, will be
7.4 ✕ 1.011t billion.
According to this formula, when will the world population reach 8 billion?
2019
2022
2023
2026
According to this formula, the time when the world population reach 8 billion is D. 2026.
How to illustrate the information?From the information given, the capita growth rate of the world population continues to be what it was in the year 2016, the world population t years after July 1, 2016, will be 7.4 ✕ 1.011t billion.
Therefore, the year when the world population reach 8 billion will be:
80 billion = 7.4 × 1.011t billion
1.011t = 80/7.4
1.011t = 10.8
t = 10.8/1.011
t = 10
Therefore, the number of years will be added. This will be:
= 2016 + 10
= 2026
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(-2,6) and (1,1) point slope equation
Answer:
[tex]y=-\frac{5}{3}x +\frac{8}{3}.[/tex]
Step-by-step explanation:
[tex]1. \ formula:\\ \frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1};[/tex]
2. according to the formula above:
[tex]\frac{x+2}{1+2} =\frac{y-6}{1-6}; \ = > \ \frac{x+2}{3} =\frac{y-6}{-5};[/tex]
3. finally, 5x+3y=8 ⇔
[tex]y=-\frac{5}{3}x +\frac{8}{3}.[/tex]
No
You buy 3 device trackers and a wireless charger. You use a coupon for 15% off your total purchase. You pay a
total of $45.22 after using the coupon. The original price of the charger is $15.64. What is the original price of
one device tracker?
The 3 device trackers and wireless charger purchased at $45.22 using a 15% discount coupon gives the price of one device tracker as $12.52
How can the given information be expressed as an equation?Number of device trackers = 3
The discount given by the coupon = 15% off the total purchase
Amount paid after using the coupon.= $45.22
Original price of the charger = $15.64
Let x represent the price of one device tracker, we have the following equation;
(1 - 0.15)×(3•x + 15.64) = 45.23
Which gives;
x = ((45.22/(1 - 0.15)) - 15.64)/3 = 12.52
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1. Simon sold candles to raise money for the school dance. He raised a total of
$25 for selling 10 candles. Find the unit rate (amount earned per candle).
help please thank you
The scale factor of the graph image shown is 1.5, using the letters with prime as the original image
How to get the scale factorScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
For the given graph the values with prime is assumed to be the the original shape while the the values without prime represent the factored image.
Taking a point of reference say s' and s. The coordinates of s' and the coordinates of s are ( 2, 4 ) ( 3, 6 ) respectively.
solving for the factor, assuming the factor is k
x axis
2k = 3
k = 3/2 = 1.5
y axis
4k = 6
k = 6/4 = 1.5
This factor works for other coordinates hence we say that the scale factor is 1.5
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A company is considering a new product launch. There is a 0.6 chance that demand for the product will be strong and a 0.4 chance that demand will be weak. Two strategies for the launch are possible: 1 has high promotion costs and a net cash outflow of K120 000 if demand proves to be strong, and if demand proves weak a net cash outflow of (K30 000) will result. Strategy 2 has low promotion costs and if demand is strong will generate a cash inflow of only K80 000 but with weak demand a net cash inflow of K20 000.
i. Draw a decision tree and advise which course of action generates the greatest expected profit.
ii. What is the maximum amount that should be paid for market research to determine with certainty whether demand will be strong or weak?
Strategy 2 will generate higher expected profit and the company should invest k 8000 for market research to determine with certainty whether demand will be strong or weak.
→Strong demand (P= 0.6) k12000 outflow
→|
→Weak demand (P=0.4) k30000 outflow
New product launch ║
→Strong demand (P= 0.6) k80000 outflow
→|
→Weak demand (P=0.4) k20000 outflow
Expected market value in strategy 1 is
= - 120000 x 0.6 + (-30000) x 0.4
= -k 84000
Expected market value in strategy 2 is
= - 80000 x 0.6 + 20000) x 0.4
= k 56000
Therefore strategy 2 will generate higher expected profit
In strategy 2
Expected value in strong demand is 80000 x 0.6 = k 48000
Expected value of weak demand is 20000 x 0.4 = k 8000
Thus the company should invest k 8000 for market research to determine with certainty whether demand will be strong or weak
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0.25(x+10) = 2+0.5(x-1)
Step-by-step explanation:
0.25(x+10) = 2+0.5(x-1)
0.25 * x + 0.25 * 10 = 2.05 * x - 2.05 * 1
0.25x + 2.5 = 2.05x - 2.05
0.25x - 2.05x = -2.05 - 2.5
-1.8x = - 4.55
x = -4.55/-1.8
x = 2.53777777778
Alexandra Efland has a savings account that earns 5.5% interest compounded daily. On May 5, the amount in the account was $28,214.35. How much interest will the money earn in the next 90 days?
Use the formula: where
A = Amount
P = Principal
r = rate
n = number of periods
t = time in years
Group of answer choices
$38.57
$285.71
$385.21
$901.15
The interest earned in next 90 days is $390.6.
What is Compound Interest?The amount of money earned, in compound interest, after t years, is given by:
A= P[tex]( 1+ r/n)^{(nt)}[/tex]
Given:
A = Amount
P = Principal = $28,214.35
r = rate = 0.055
n = number of periods=365
t = time in years=3/12= 1/4
Using compound interest formula
A= P[tex]( 1+ r/n)^{(nt)}[/tex]
A(90)= 28,604.95[tex]( 1 + 0.055/365)^{(365 * 1/4)}[/tex]
A(90)=28241.35 [tex](1.00015)^{(91.25)}[/tex]
A(90)= $28,604.95
So, the interest earned in next 90 days is
=28,604.95 - 28,604.95
= $390.6
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Find a in degrees.
Round to the nearest hundredth.
Answer:
53.13
Step-by-step explanation:
[tex]\tan \alpha=\frac{8}{6} \\ \\ \alpha=\arctan(8/6) \\ \\ \approx 53.13^{\circ}[/tex]
Answer:
53.13
Step-by-step explanation:
correct
Write the relation as a set of ordered pairs.
a.
ordered pairs: {(–3, 3), (0, 0), (2, –2)}
b.
ordered pairs: {(3, –3), (0, 0), (–2, 2)}
c.
ordered pairs: {(3, –3), (0, 0), (2, -2)}
d.
ordered pairs: {(–2, 2), (0, 0), (3, –3)}
The relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.
What is a Relation?A relation, in maths, is defined as a relationship between two variables, x and y, which are linked to each other.
How to Write a Relation as a Set of Ordered pairs?The x-value and the y-value of each set of points in a relation is written as (x, y).
Thus, in the given relation that is represented by the graph below, we have the following set of ordered pairs representing each point on the graph: (–3, 3), (0, 0), and (2, –2).
Therefore, the relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.
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The pay rate and hours worked are given below. Use this information to determine the following. Make sure to include decimals and appropriate zeros.
the gross pay
federal tax (assuming 20% of gross earnings)
state tax (assuming 6% of gross earnings)
social security deductions (assuming 7.05% of gross earnings)
group health insurance (assuming 13% of gross earnings)
pension deduction (assuming 6.5% of gross earnings)
total deductions
net pay
Earnings
Description Rate Hours Current
Regular 9.00 39.0
351.00
The net pay of the individual after having deducted total deductions is $166.54
How do we determine the amount of each deduction?
The amount of each deduction is based on the gross pay of $351.00, as a result, we simply multiply the percentage of deduction by the gross pay to determine the dollar amount of each deduction.
the gross pay=$351
federal tax (assuming 20% of gross earnings)=$351*20%=$70.20
state tax (assuming 6% of gross earnings)=$351*6%=$21.06
social security deductions (assuming 7.05% of gross earnings)=$351*7.05%=$24.75
group health insurance (assuming 13% of gross earnings)=$351*13%=$45.63
pension deduction (assuming 6.5% of gross earnings)=$351*6.5%=$22.82
total deductions=$70.20+$21.06+$24.75+$45.63+$22.82
total deductions=$184.46
net pay=$351-$184.46
net pay=$166.54
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What are the coordinates of D, E, and F after a reflection over the y axis? Plot these points on the grid, and label them D′, E′ and F′.
The Coordinates of the point D will be (-3, 3) and point E will be (0, 5) and point F will be (2, -2).
According to the statement
We have to find that the points of the coordinates.
So, For this purpose, we know that the
Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
From the given information:
the coordinates of D, E, and F after a reflection over the y axis? Plot these points on the grid, and label them D′, E′ and F′.
Then
Coordinates of a point is given by (x,y)
And
Here, x represents the horizontal distance of the point from origin (0,0) and y represents the vertical distance of the point from origin.
Let's take an example of point D,
Horizontal distance of point D from origin x =-3 and vertical distance from origin y =3.
Then
Coordinates of the point D will be (-3, 3).
Coordinates of the point F will be (2, -2).
Coordinates of the point E will be (0, 5).
For more details please see the image below.
So, The Coordinates of the point D will be (-3, 3) and point E will be (0, 5) and point F will be (2, -2).
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−76 times the difference between a number and 61 is equal to the number plus −89.
Two or more expressions with an equal sign is Equation.-76(x-61)=x-89 is the equation for −76 times the difference between a number and 61 is equal to the number plus −89.
What is Equation?Two or more expressions with an equal sign is called as Equation.
The sentence −76 times the difference between a number and 61 is equal to the number plus −89. We have to express in the form of equation.
−76 times the difference between a number
Let the number be 'x', times means multiplication and difference is subtraction.
-76(x-61)
the number plus −89
x+(-89)
−76 times the difference between a number and 61 is equal to the number plus −89.
-76(x-61)=x+(-89)
-76(x-61)=x-89
Therefore -76(x-61)=x-89 is the required equation.
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How long will it take money to double if it is invested at the following rates?
(A) 6% compounded monthly
(B) 10.2% compounded monthly
(A) years
(Round to two decimal places as needed.)
(B) years
(Round to two decimal places as needed.)
Answer:
11.58 years
6.82 years
Step-by-step explanation:
Compound interest can be represented as: [tex]A=P(1+\frac{r}{n})^{nt}[/tex] where P = initial amount, r=interest rate, n=compounds in each time unit, t = time (usually years)
If you think about it the: [tex](1+\frac{r}{n}})^{nt}[/tex] represents the overall interest being applied to the principal amount.
This would have to be equal to 2, for it to be doubled, so let's set that equal to 2
[tex]2=(1+\frac{r}{n})^{nt}[/tex]
Now let's solve for "t", first let's take the log of both sides
[tex]log(2)=log([1+\frac{r}{n}]^{nt})[/tex]
Now let's use log properties, specifically the exponent one to rewrite
[tex]log(2)=nt *log(1+\frac{r}{n})[/tex]
Now divide both sides by the log(1 + r/n) and n
[tex]t=\frac{log(2)}{n*log(1+\frac{r}{n})}[/tex]
Our "n" is going to be the same for both equations, 12 since it's compounded monthly
The interest will be a bit different, but in the first case it will be 6% which is 0.06
[tex]t=\frac{log(2)}{12*log(1+\frac{0.06}{12})}[/tex]
simplifying this we get
[tex]t\approx11.581[/tex]
Rounding this we get: [tex]t=11.58[/tex]
Now let's do this to the other equation:
[tex]t=\frac{log(2)}{12*log(1+\frac{0.102}{12})}[/tex]
simplifying this we get:
[tex]t\approx 6.824[/tex]
approximately 6.82
An apple orchard has honey crisp trees and mnintosh trees. The orchard has 1603 honey crisp trees. It has 327 more McIntosh trees than honeycrisp trees. About how many apple trees does the orchard have?
The number of apple trees the orchard have is 3533.
How to find the the number of apple trees in the orchard?The apple orchard has honey crisp trees and McIntosh trees.
The orchard has 1603 honey crisp trees.
It has 327 more McIntosh trees than honey crisp trees.
Therefore,
number of honey crisp trees = 1603
number of McIntosh trees = 327 + 1603
number of McIntosh trees = 1930
Therefore, the number of apples trees the orchard have can be calculated as follows:
number of apples trees = number of McIntosh trees + number of honey crisp trees
number of honey crisp trees = 1603
number of McIntosh trees = 1930
number of apples trees = 1930 + 1603
number of apples trees = 3533
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power series interval of convergence (x+3)^n/(n) n is equal to 1
Answer:
Step-by-step explanation:
beep boop beep bap bap slat twan
answer it yo self
What is the slope-intercept for.
slope = 3, y-intercept = 2
holow
Answer:
y = 3x + b
Step-by-step explanation:
slope intercept form is y = mx + b
y - y-coordinate m - slope b - y-intercept
a farmer buys 1000 pounds of hay which he thinks will last 31 days if his cow eats about 25 pounds of hay per day for how many days more than 31 will the farmers hay
feed the cow
The farmer can 9 days more than 31 days.
given,
farmer buy 1000 pounds of hay
if cow eats 25 pounds of hay per day .
here, 25 x 31 =775
which is less than 1000 ,so that the farmer can feed the cow more than 31 days
1000-775=225
225/25=9
therefore the farmer can 9 days more than 31 days.
There are four basic properties of numbers: commutative, associative, distributive, and identity. You should be familiar with each of these.
distributive property ;
According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.
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What is 4.5E-11 written in standard form
Answer: 4 * 10^(-11) + 5 * 10^(-12)
Step-by-step explanation:
4.5E-11=
4.5 * 10^(-11)=
(4+.5) * 10^(-11)=
4 * 10^(-11) + 0.5 * 10^(-11) =
4 * 10^(-11) + 5/10 * 10^(-11) =
4 * 10^(-11) + 5 * 10^(-1) * 10^(-11) =
4 * 10^(-11) + 5 * 10^(-1+(-11)) =
4 * 10^(-11) + 5 * 10^(-1-11) = 4 * 10^(-11) + 5 * 10^(-12)