Answer: A(t) = (6.4 ft^2/min)*t
Step-by-step explanation:
We know that Emily paints at a constant rate, and she can paint 32 ft^2 in 5 minutes.
Then if we take the quotient of these two quantities, we will find the amount she can paint in one minute, this is:
32ft^2/5min = (32/5) ft^2/min = 6.4 ft^2/min.
Then if she paints for t minutes, the area that she can cover can be written as:
A(t) = (6.4 ft^2/min)*t
This is the linear equation we wanted to find.
80.6 divided by 6 please answer
Answer:
13.433333333
Step-by-step explanation:
find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
What is the coordinate where x=-1 ?
What is the coordinate where x=2?
What is the rate of change between those two points?
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the coordinates above:
[tex]slope = \frac{-2-1}{2-(-1)}[/tex]
Simplify:
[tex]slope = \frac{-3}{3} = -1[/tex]
Thus, the rate of change between the points is -1.
side length z =
angle d =
Answer:
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Step-by-step explanation:
Step(i):-
Given that ∠HIG is a right angle triangle
Given∠I = 53°
By using the sine function
[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]
z = 25 × sin53° = 25×0.798635
z = 19.965 ≅20 m
Step(ii):-
[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]
⇒ [tex]d = sin^{-1} (\frac{4}{5} )[/tex]
⇒ d = 53.13°
Final answer:-
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Consider the system of liner equations 2y=X+10
3y=3x+15
What is the measure of
Answer:
Step-by-step explanation:
∠BAC = 180° - 75° = 105°
The sum of the angles of a triangle is 180°.
(3x+2) + (10x-5) = 75
13x-3 = 75
x = 6
∠B = 3x+2 = 20°
∠BCF = 10x-5 = 55°
5. Murphy obtains a 15/5 balloon mortgage to finance $113,500 at 4.95%. How much principal and interest will he have already pald when his balloon payment is due? (2 points)
$85,433.10
O $70,863.13
O $52,781.40
O $53,676.00
Answer:
$278.15×60= $16688.969
Step-by-step explanation:
Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk
To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:
Formula for monthly payments
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= monthly payments
P= mortgage loan value
r= interest rate on loan
n= number of payments = 15×12= 180 monthly payments
Substitute :
A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1
A= $113500×0.0495×296.104/5980.90
A= $113500×0.0495×0.049508
A= $278.15
To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment
60×$278.15= $16688.969
A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?
Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]
using Heron theorem, we have:
[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]
with S is the area of the triangle
[tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]
Step-by-step explanation:
Area of the triangle with given vertices is equals to 24 square units.
What is Area?"Area is the surface which represents the total space occupied by any two dimensional object."
What is triangle?"Triangle is a polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."
Formula used
In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)
Area of a triangle = [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]
According to the question,
Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)
Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]
= [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]
= 24 square units
Hence Area of the triangle with given vertices is equals to 24 square units.
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What is the value of x in the equation below?
4(x + 1) = 3x +7
Answer:
89
Step-by-step explanation:
Im Timed Help Pls I need help with math problem
Answer:
35.36 i think
Step-by-step explanation:
40%x68=27.2
20%x27.2=5.44
27.2+5.44=32.64
68-32.64=35.36
$35.36
How much water do you add:
To make 25% sugar syrup using 15g of sugar?
Answer:
amount of water required = 45 g
Step-by-step explanation:
Answer:
45g
Step-by-step explanation:
Solve and check please help ty
so wt's the question of this pic?
14. What proportion of the world's people live in Africa? In Asia? In North America? In Latin America? In Europe? In Oceania? What are the projected proportions? Draw a bar chart showing the regional distributions of the world's population for this year, 2030 and 2050.
Incomplete question. However, I assumed you are referring to the information found in the 2016 World Population Data Sheet.
Explanation:
Proportions of the world's people who live in:
Africa: 16.2%Asia: North America: 4.8%Latin America: 8.5%Europe: 9.9%Oceania: 0.5%Since the report stated that as of 2016 the world's population stood at 7,418,000,000 (Seven billion, Four hundred and Eighteen Million), we simply find the ratio of each continent to the population. For example, Asia is said to be 4,437,000,000 (Four billion, Four hundred and thirty-seven million) , the ratio will be [tex]\frac{4,437,000,000 }{7,418,000,000 } *100=[/tex] 59.8% approximately.
Records kept for a period of 30 weeks by a
dietician at a cafeteria show the following
weekly consumption of milk ( in gallons).
200
205
210
215
220
225
230
235
240
Milkin
gallons
Probability
3/30
4/30
6/30
5/30
4/30
3/30
2/30
2/30
1/30
Find the average number of gallons of milk
consumed per week.
Answer:
216
Step-by-step explanation:
LCD = 30
200(3/30) = 600/30
^ do this process for each number
Answer: 216
Step-by-step explanation:
Triangle JKL is similar to triangle MNO. Find the measure of side OM. Figures are not drawn to scale.
Answer:
16.8
Step-by-step explanation:
Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.
Answer:
16.8 is the measurement of OM
Step-by-step explanation:
In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.
Out of 40 times at bat, Raul got 15 hits. Find Raul’s batting average.
Answer:
.375
Step-by-step explanation:
To find the batting average, do 15/40. And 15/40=.375
Solve for m:
14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2
Answer:
D. m = 5/2
Step-by-step explanation:
35 / 14 = m
35 / 14 = 2.5
2.5 as a fraction is 5/2
The equivalent value of m is given by the expression m = 5/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:
14m/14 = 35/14
Simplifying, we get:
m = 35/14
On further simplification of the equation , we get
m = (35/7)/(14/7)
m = 5/2
Hence , the equation is m = 5/2.
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A series of books is published at 4-year intervals. When the fifth book is issued, the sum of the publication’s years will be 10,020. When was the first books published?
Answer:
The first book was published in 1816.
Step-by-step explanation:
A series of books is published at 4-year intervals.
This means that:
The first book is published at year x.
The second book is published at year x + 4.
The third book is published at year x + 4 + 4 = x + 8
The fourth book is published at year x + 8 + 4 = x + 12
The fifth book is published at year x + 12 + 4 = x + 16
When the fifth book is issued, the sum of the publication’s years will be 10,020.
This means that:
[tex]x + x + 4 + x + 8 + x + 12 + x + 16 = 10020[/tex]
[tex]5x + 40 = 10020[/tex]
When was the first books published?
This is x. So
[tex]5x + 40 = 10020[/tex]
[tex]5x = 9080[/tex]
[tex]x = \frac{9080}{5}[/tex]
[tex]x = 1816[/tex]
The first book was published in 1816.
Jan created a garden that was 8.5 yards long and 5.95 yards wide. What is the difference between the length and width of the garden? please dont take my points, actually answer the question.
Subtract the width from the length.
8.5 - 5.95 = 2.55 yards
Which is the product in the expression 5(z+6)-25+x
Use greater than or less than for the following problem 5 2/3 + 3 3/4 _______8 2/3
9514 1404 393
Answer:
>
Step-by-step explanation:
We know that 5 + 3 = 8, so 5 2/3 +3 = 8 2/3.
This problem has you adding 3 3/4, not 3, so the sum will clearly be "greater than" 8 2/3.
5 2/3 + 3 3/4 > 8 2/3
please help!! i’m stuck and i’ll give brainliest but i need an explanation for the answer
9514 1404 393
Answer:
-12
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is defined as ...
average rate of change = ((f(b) -f(a))/(b -a)
For the given function and interval, this is ...
average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)
= (4 -10)/(0.5) = -12
The average rate of change is -12 on the interval.
__
The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.
Find the total cost of these items, including tax. Round to the nearest hundredth.
Water bottle:
Flashlight:
Answer: watter bottle : $1.61
Flashlight : $3.20
Step-by-step explanation:
What's 6x5 need help plaz
Answer:
30
Step-by-step explanation:
It is easier if you do 5 six times for example
5, 10, 15, 20, 25, 30
Hope this helps ;)
earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth
Answer:
[tex]33[/tex] times
Step-by-step explanation:
Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles
Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles
Find [tex]\frac{d}{D}[/tex].
[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]
Therefore,
Neptune is approximately [tex]33[/tex] times farther from the sun than earth
PLEASEE HELPP IM DESPERATE I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
what is 5% of 20= pls I really need some help on this will mark brainly if correct
Answer:
1
Step-by-step explanation:
5% of 20 = 1. hope this helps :)
Two numbers are missing from this table. how can the missing numbers be found.
Answer:
Multiply input by 2
Step-by-step explanation:
The pattern is the input multiplied by 2. Just multiply the input value by 2 and you get the output value.
In ΔDEF, d = 36 inches, e = 97 inches and ∠F=166°. Find the length of f, to the nearest inch.
Answer is 11.9ft.
Law of cosines:
In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
[tex]c^{2} = a^{2} + b^{2} - 2ab cos(C)[/tex]
Since we have two side lengths and an angle, we can use the Law of Cosines to find the length of the final side.
In this case we can write the law of cosines as,
[tex]f^{2} = d^{2} + e^{2} - 2(de)cos(F)[/tex]
f2 = 5.22 + 6.82 - 2(5.2)(6.8)cos(166)
f2 = 27.04 + 46.24 - 66.56 cos (166)
f2 = 73.28 - 66.56 cos 166
f = √(73.28 - 66.56 cos 166) ≈ 11.9 ft.
f ≈ 11.9 ft.
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Answer:
132
Step-by-step explanation:
S.A.S.→Law of Cosines
From reference sheet
[tex]a^2=b^2+c^2-2bc[/tex] cos A
plug in values
[tex]f^2=36^2+97^2-2(36)(97)cos 166[/tex]
square and find cosine
[tex]f^2=1296+9409-2(36)(97)(-09.70296)[/tex]
Multiply
[tex]f^2=1296+9409+6776.54535[/tex]
Add
[tex]f^2=17481.54535[/tex]
Square root and round
[tex]f=\sqrt{17481.54535}[/tex]≈132.218≈132
How is a constant term different from a variable term
for an expression that represents a real-world situation?
Answer:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.
Step-by-step explanation:
5, 80, 1280, 20480, 327680, ...
Answer:
It's multiplying by 16 every time... so the next answer is 5242880
Step-by-step explanation:
327680 x 16 = 5242880