Answer:
85%
Step-by-step explanation:
This problem can be solved by dividing the number of cured cases by the total number of cases (17/20). In order to verify this you can see what number 20 can be multiplied in order to get 100 (5). You can then multiply this by 17 in order to get the number of cured cases out of 100 (the definition of percent)
The Blackbird Oil Company is considering the purchase of 20 new jumbo oil storage tanks. The standard model holds 12,000 gallons. Its
dimensions are the size of the similarly shaped jumbo model, that is, the ratio of the dimensions is 4:5.
a) How many gallons does one jumbo tank hold?
b) How many more gallons does one jumbo tank
hold than one standard tank?
c) If jumbo tanks cost 50% more than standard
tanks, which tank is a better buy?
Therefore , the solution of the given problem of ratio comes out to be 300,000.
A ratio is defined.A portion or fraction in mathematics displays how frequently one number is included in another. For instance, if there are eight orange and six lemons in a fruit plate, the proportion of oranges to lemonade is eight to six, or 8:6, which is comparable to the ratios 4:3 or the decimal 1.333.
Here,
We must use our grasp of proportionality to establish the maximum amount of shares that can be owned in this exercise.
The 20 huge variations will allow Blackbird Oil to store a total of 300,000 gallons.
The details in the assertion can be summed up as follows:
20 brand-new, sizable oil storage tanks.
The ratio is 4:5 for 12,000 gallons.
Because of the proportional ratio of 4.05, the enormous receptacles are 1.25 times larger than the ordinary ones, giving us:
=> 1200 * 1.25 = 15000
=> 15000 * 20 = 300000
As a result, the supplied problem's answer equals 300,000.
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(PRE CALC) I NEED HELP ASAP WITH THIS PROBLEM WILL GIVE BRAINLIEST
The center of the ellipse is (2, -8).
The endpoints of the major axis are 10 units from the center.
The endpoints of the minor axis are 9 units from the center.
To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
What is ellipse?
An ellipse in mathematics is a plane curve that has two focal points and is such that the sum of the two distances from any point on the curve to the focal points is a constant. It generalizes a circle, a special kind of ellipse in which the two focal points coincide.
Given:
The equation of ellipse is,
[tex]\frac{(x-2)^2}{81}+(\frac{(y+8)^2}{100}=1[/tex]
Since, the general form of ellipse is,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
where,
(h, k) is the center of ellipse
a is the minor axis
b is the major axis.
Here (h, k) = (2, -8) is the center of the ellipse.
9 is the minor axis and 10 is the major axis of the ellipse.
Also the graph of ellipse connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
Hence, the center of the ellipse is (2, -8).
The endpoints of the major axis are 10 units from the center.
The endpoints of the minor axis are 9 units from the center.
To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.
The graph of the ellipse is attached below.
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For a Future Teachers of America fundraiser, Denzell sold food as shown in the table. He sold 11 more subs than pizzas and earned a total of $233. Write and solve a system of equations to represent this situation. Then describe what the solution means.
Answer:
Step-by-step explanation:
Item Selling Price
Pizza $5.00
Sub $3.00
---------------
Quantity Equation : s = p + 11
Value Equation : 3s+5p = 233
---------------------------
Substitute for "s" and solve for "p"
3(p+11) + 5p = 233
8p + 33 = 233
8p = 200
p = 25 (# of pizzas)
----
s = p+11 = 36 (# of subs)
A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 520.0 N. At the top of the ride her apparent weight is 1.5N different from her true weight. (a) Is her apparent weight at the top 521.5N or 518.5N Why? (b) What is her apparent weight at the bottom of the ride? (c) If the angular speed of the Ferris wheel is what is its radius?
(a) At the top of the ride, her apparent weight is 518.5 N. This is because, at the top of the ride, the centripetal force acting on her is directed towards the center of the Ferris wheel, which acts in opposition to her weight. Since her weight is 520 N, and the centripetal force is 1.5 N, the net force acting on her is 518.5 N.
Apparent weight, also known as effective weight or net weight, is the weight that an object appears to have when it is in motion. It is the force that an object feels as a result of a combination of its true weight and any additional forces acting on it, such as the centripetal force.
(b) At the bottom of the ride, her apparent weight is 520.5 N. This is because, at the bottom of the ride, the centripetal force acting on her is in the same direction as her weight, so the net force acting on her is the sum of her weight and the centripetal force.
(c) The radius of the Ferris wheel can be determined using the formula v^2 = r * g, where v is the angular velocity, r is the radius and g is the acceleration due to gravity. Given that angular speed and the apparent weight is known, you can use this formula to find the radius.
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if t=2 and a=4, calculate the fourier series coefficients (integers)
The Fourier series coefficients for T-2 and A-4 are Ao = 2, B(n-odd) = 0, and B(n-even) = -(4/nπ). The Fourier series for the function is then given by:Y(t) = A0 + ΣB(n)cos(nπt/T) + ΣB(n)
The Fourier series coefficients are used to determine the Fourier series of a given function. The Fourier series is an infinite series of sines and cosines which, when summed, gives an approximation of the original function.
The coefficients are determined by integrating the function over a period and solving for the coefficient of each term.
The coefficients for the function T-2 and A-4 are determined by first calculating the period of the function. The period of the function is T=4. The coefficients are then calculated by integrating the function from 0 to T and solving for each coefficient. The coefficients for T-2 and A-4 are then calculated as follows:
A0= 2
B(n-odd) = 0
B(n-even) = -(4/nπ)
Therefore,
Y(t) = A0 + ΣB(n)cos(nπt/T) + ΣB(n)
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The correct question should be: If T-2 And A-4, Calculate The Fourier Series Coefficients (Integers) Ao B (N-Odd) B (N-Even)- (N-1,2,3,..) Such That: Y(T)-A0 + ?
HELP ASAP WILL GIVE BRAINLIEST
What two rational expressions sum to 3x−2x2−x−12 ?
Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.
Answer and Explanation: To get the two terms on the right to combine into one term, we need the denominators of both terms to be the same. To do this we can plug in x+3 for the bottom left denominator and x-4 for the bottom right denominator. This makes both denominators (x+3)(x-4).
The numerators of both terms on the right just have to add up to 3x-2. One way we could do this is to the right one as 3x and the other as -2 or vice versa.
(x+3)(x-4) simplifies to x^2-x-12 which is why the denominator of the term on the left is that.
What is the vertex of the function f(x)= -1/2 |x+8| -5
The vertex is (5,-9)
The vertex, what is it?A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.
The function is given as f(x) = (x - 8) (x - 2)
Taking the parentheses out
f(x) = x2 - 2x - 8x + 16
f(x) = x2 - 10x + 16
The function's vertex is (h, k)
h = -b / 2a
Changing the values
h = - (-10) / 2 (1) (1)
h = 10 / 2
the x coordinate for h = 5
changing the quadratic function's x value
f(5) = (5 - 8) (5 - 2) (5 - 2)
f(5) = (-3) (3) (3)
f(5) = k = -9
Consequently, the vertex is (5, -9).
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Classifying triangles
You would like to see either a World War II movie, or one that is based on a comic book character but does not feature aliens. Which set of movies are you interested in seeing?
WWII n (Comix n Aliens')
WWII n (Comix U Aliens')
WWII U (Comix n Aliens')
WWII U (Comix U Aliens')
Where one would like to see either a World War II movie or one that is based on a comic book character but does not feature aliens. The set of movies they are interested in seeing is: "WWII U (Comix n Aliens')" (Option C) Note that this is a prompt related to sets.
What is the sets in math?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form. Sets are often expressed by curly brackets; for example, A = 1,2,3,4 is a set.
Some examples of sets include the empty set, finite set, equivalent set, subset, universal set, superset, and infinite set.
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need help asap please help! 50 points!!!!!!!!!!!!!!!!!!!!!!!! Plese do all problems
Answer:
Step-by-step explanation:
8) a) In a parallelogram, opposite sides are equal and parallel.
BC = AD
12x - 1 = x + 21
12x = x + 21 + 1
12x = x + 22
12x - x = 22
11x = 22
x = 22 ÷ 11
x = 2
AD = x + 21
= 2 + 21
AD = 23
In a parallelogram, adjacent angles are supplementary.
∠A + ∠D = 180°
[tex]\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\[/tex]
[tex]\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126[/tex]
∠D = 126 ÷2
= 63
In parallelogram, opposite angles are congruent.
∠B = ∠D
∠B = 63°
which expressions have the same product as 0.056 x 0.34
The expressions that have the same product as 0.056 x 0.34 is A. A.56 * 0.34/100, 000.
How can the expressions that have the same product be known?The concept that will be used is finding of the products or quotient then compare .
The product of the given value 0.056 x 0.34 is 0.01904
The we can compare to the given options as;
A.56 * 0.34/100, 000 = 0.01904
B.0.56*3.4= 1.904
C. 56*34*0.001= 1.904
D. 56*34*1/100 *1/100 = 0.1904
Therefore, option A is correct because it have the same value with the given values.
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missing options:
A.56 * 0.34/100, 000
B.0.56*3.4
C. 56*34*0.001
D. 56*34*1/100 *1/100
Jared is planning a trip to an amusement park. At this amusement park, there is a general admission charge plus a cost per ride. A certain number of rides are included with the general admission. To determine the average cost per ride, Jared created this expression, where x represents the number of rides Jared will ride:(39.87+2(x-5)(1/2) Q1 Identify the factors of Jared’s expression. Which factor represents the total cost of Jared’s trip to the amusement park? Q2 Identify the terms in the first factor of the expression. Based on the situation, identify what each term represents. What is the coefficient of the second term of the first factor? Q3What does this represent in terms of the situation? Q4 Based on Jared’s expression, how many rides are included with the cost of general admission? Explain your answer.
The evaluation of Jared's expression for the average cost per ride at the amusement park indicates;
Q1) The factors are;
First factor = (39.87 + 2·(x - 5)
The second factor = (1/x)
The factor that represents the total cost of Jared's trip is the first factor
Q2) The terms in the first factor are;
The general admission charge = 39.87
The fee for the rides Jared rides = 2·(x - 5)
The number of free rides = 5
The coefficient of the second term is 2
Q3) The cost per ride
Q4) 5 rides
What is a mathematical expression?A mathematical expression is a combination symbols and operators that together, produces the quantity in the context.
The expression Jared creates to determine the average cost is presented as follows;
((39.87 + 2·(x - 5))·(1/x)Q1) The factors of Jared's expression are;
The first factor = (39.87 + 2·(x - 5)
The second factor = 1/x
The total cost of Jared's trip to the amusement park= (39.87 + 2·(x - 5)
The factor that is used to fined the unit rate Jared spends per ride = 1/x
Q2) The terms in the first factor are;
The general admission of 39.87The cost per ride of $2The number of rides included with the general admission = 5 ridesThe number of rides Jared rides = xThe second term in the first factor is 2·(x - 5)The coefficient of the second term of the first factor is 2, which represents the cost per ride
Q3) The coefficient of the second term in the first factor, 2, represents the amount Jared pays per ride in the amusement park
Q4) The number of rides Jared pays for is found using the second term of the fist factor, 2·(x - 5), the number of rides Jared rides, x less the 5, therefore, indicates;
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Can someone please help me out? Thanks I would appreciate it! :) I’ll give brainly
Answer:
Brand Z
Step-by-step explanation:
Set up all of them up as a fraction x/y where x is the fluid ounces and y is the cost.
Next, find the values of all the fractions and note them down.
Brand Z had the highest cost per fluid ounce of 2, and therefore is the correct answer.
Answer:
Brand w.
Step-by-step explanation:
First thing you want to do is divide your fluid ounces by your given cost. Which ever is greatest is your answer.
Brand w: 20/12.00 = 1.66
Brand x: 15/11.25 = 1.33
Brand y: 10/6.50 = 1.53
Brand z: 5/2.50 = 2.00
Brand w has the greastest price per fluid ounce compared to the rest of the brands.
The area of a triangle with base b and height h is
1
2
bh. Kari is designing silver earrings shaped like triangles. Each earring is 3 centimeters tall and has a base that is 2.5 centimeters long.
What is the area of one of Kari's earrings?
Answer:
3.75 cm²
Step-by-step explanation:
Area of a triangle = 1/2bh = 1/2(2.5)(3) = 3.75 cm²
At a run festival, 5/7 of the runners are women. If there are 1050 runners, how many are women?
There are 750 women runners at the festival out of 1050 runners.
What is the arithmatic calcaltion?
Arithmetic is a branch of mathematics that deals with the manipulation of numbers and the properties of operations such as addition, subtraction, multiplication, and division. It is often referred to as "elementary mathematics" or "number theory" and is one of the oldest and most basic branches of mathematics.
If 5/7 of the runners at the festival are women, we can use this information to find how many runners are women.
Let's call the number of women runners W. We know that 5/7 of the runners are women, so we can set up the following proportion:
W / 1050 = 5/7
To find the value of W, we can cross-multiply and then solve for W:
W * 7 = 5 * 1050
W = 750
Hence, there are 750 women runners at the festival out of 1050 runners.
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2.5kg of potatoes cost £1.40. Work out the cost of 4.25kg of potatoes
The cost of 4.25kg of potatoes will be £2.38
What is proportion?A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 4(for every one boy there are 3 girls) 1 / 4 are boys and 4 / 5 are girls. 0.20 are boys (by dividing 1 by 5). It can also be defined as the size, number, or amount of one thing or group as compared to the size, number, or amount of another.
The cost of 2.5kg of potatoes is £1.40
Therefore the cost of 1kg potatoe = 1.40/2.5 = £0.56
This means that the cost of 4.25 kg = 0.56× 4.25
= £2.38
Therefore the cost of 4.25kg of potatoes is £2.38
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Simplify: *
4(1/2+5/4)+ -5
Step-by-step explanation:
commn this number agen division
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
How much would the painting company charge to paint a house that needs 20 hours of labor? A house that needs 50 hours? c. Find the slope of the line. What is the meaning of the slope in this context?
Answer:
add 500 and 50 together then multiple that number my 20 then do the same but multiple by 50
calculate the density of an apple with a mass of 30 grams and a volume of 160ml
Answer:
Step-by-step explanation:
P=m/v
Density = mass / volume
30 is mass
160 is ml
P=30/160
0.1875
what is the answer ????????
Answer:nitrogine
Step-by-step explanation:
Answer:
Nitrogine. because all the others are in it
NO LINKS!! Part 2
Find an exponential function in y = ab^x form that satisfies the given information
c. Passes through the points (2, 20) and (7, 640)
d. passes through (0, 6) and (3, 48)
e. passes through (1, 21) and (2, 147)
Answer:
[tex]\text{c)} \quad y=5(2)^x[/tex]
[tex]\text{d)} \quad y=6(2)^x[/tex]
[tex]\text{e)} \quad y=3(7)^x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
Part (c)Given points:
(2, 20)(7, 640)Substitute the given (x, y) points into the exponential function formula to create two equations:
[tex]\implies 20=ab^2[/tex]
[tex]\implies 640=ab^7[/tex]
Divide the second equation by the first equation to eliminate a:
[tex]\implies \dfrac{640}{20}=\dfrac{ab^7}{ab^2}[/tex]
[tex]\implies 32=\dfrac{b^7}{b^2}[/tex]
Solve for b:
[tex]\implies 32=b^7 \cdot b^{-2}[/tex]
[tex]\implies 32=b^{7-2}[/tex]
[tex]\implies 32=b^5[/tex]
[tex]\implies b=2[/tex]
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies 20=a \cdot 2^2[/tex]
[tex]\implies 20=4a[/tex]
[tex]\implies a=5[/tex]
Substitute the found values of a and b into the exponential function formula:
[tex]\implies y=5(2)^x[/tex]
---------------------------------------------------------------------------------------
Part (d)Given points:
(0, 6)(3, 48)As a is the y-intercept, a = 6.
Substitute the point (3, 48) and the found value of a into the exponential function formula and solve for b:
[tex]\implies 48=6b^3[/tex]
[tex]\implies 8=b^3[/tex]
[tex]\implies b=2[/tex]
Substitute the found values of a and b into the exponential function formula:
[tex]\implies y=6(2)^x[/tex]
---------------------------------------------------------------------------------------
Part (e)Given points:
(1, 21)(2, 147)Substitute the given (x, y) points into the exponential function formula to create two equations:
[tex]\implies 21=ab^1[/tex]
[tex]\implies 147=ab^2[/tex]
Divide the second equation by the first equation to eliminate a:
[tex]\implies \dfrac{147}{21}=\dfrac{ab^2}{ab^1}[/tex]
[tex]\implies 7=\dfrac{b^2}{b^1}[/tex]
Solve for b:
[tex]\implies 7=b^2 \cdot b^{-1}[/tex]
[tex]\implies 7=b^{2-1}[/tex]
[tex]\implies 7=b^1[/tex]
[tex]\implies b=7[/tex]
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies 21=7a[/tex]
[tex]\implies a=3[/tex]
Substitute the found values of a and b into the exponential function formula:
[tex]\implies y=3(7)^x[/tex]
Write an equation for the graph below in terms of x
Answer:
Step-by-step explanation:
terms1+1ofx
In what way are photosynthesis and cellular respiration similar?
(a) They both occur in chloroplasts.
(b) They both require sunlight.
(c) They both involve organic and inorganic molecules.
(d) They both require oxygen and produce carbon dioxide.
Find the value of x in the triangle below 55° x° 85°
Answer:
x = 130°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
To simply put:
x = 85 + 55
x = 130°
23.1 + 1 7/10-blank = 66/10
Answer:
blank = 18.2
Step-by-step explanation:
17/10 = 1.7
66/|0 = 6.6
Then:
23.1 + 17/10 - x =66/10
is equivalent to:
23.1 + 1.7 - x = 6.6
24.8 - x = 6.6
24.8 - 6.6 = x
18.2 = x
Check:
23.1 + 1.7 - 18.2 = 6.6
11 over 4 as a mixed fraction
Answer:
2 3/4
Step-by-step explanation:
11-4=7-4=3 there is 4 twice and 3 remaining making 2 and 3/4
Answer: 2 3/4
Step-by-step explanation: To convert 11/4 in a mixed fraction, we will divide 11 by 4.
When 11 is divided by 4, the quotient is 2, the remainder is 3 and the divisor is 4.
After getting the new numerator, simplify and the fraction that will give us the final answer in the mixed number form.
Hence, 11/4 can be written as a mixed number, 2 3/4.
Find the surface area.
8 ft
8 ft
5 ft
Answer:
I think the answer is 288.
Step-by-step explanation:
The population of a city decreases by 2.5% per year. If this year's population is
60,000, what will next year's population be, to the nearest individual?
The next year population is 61500
How is calculate next year population ?
step1
present population=60,000
increment per year=2.5%
next year population = 60000 + 2.5 % of 60,000
2.5% of 60000 =60000*2.5%
=60000*2.5/100
=1500*2.5
=3750
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Answer:
58500
Step-by-step explanation:
100
%
−
2.5
%
=
100%−2.5%=
97.5
%
97.5%
Whole population before decrease = 100%, then subtract decrease
97.5% of the current population means
97.5
100
of it.
97.5% of the current population means
100
97.5
of it.
"Percent" literally means "out of 100."
97.5
100
=
100
97.5
=
0.975
0.975
To find 97.5% of the current population, multiply by
0.975
:
To find 97.5% of the current population, multiply by 0.975:
60000
×
0.975
=
60000×0.975=
58500
58500
Method 2
Find the decrease, 2.5% of 60000:
Find the decrease, 2.5% of 60000:
2.5
100
=
100
2.5
=
0.025
0.025
60000
×
0.025
=
60000×0.025=
1500
1500
Subtract the decrease from the current pop:
Subtract the decrease from the current pop:
60000
−
1500
=
60000−1500=
58500
58500
population
percent
58500
97.5%
60000
100%
1500
current pop
current pop - decrease
2.5% decrease
Your Solution:
58500
Write an equation for the proportional relationship.
X
26
8
12
O y=12x
Oy=3x
Oy-2/6x
Oy=1/3x
y
6
18
24
36
The equation for the proportional is y= 3x.
The correct option is (B).
What is 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 expressionsprinted on the left and right sides.
LHS = RHS is a common mathematical formula.
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:
Points taken as (2, 6) and (6, 18).
So, the slope is
slope = (18-6)/ (6-2)
slope = 12 /4
slope= 3
and, the equation of line is
y- 6 = 3(x- 2)
y-6 = 3x - 6
y= 3x
Hence, the equation is y= 3x.
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Help
Last week, the price of a gallon of gasoline was `g` dollars.
This week, the price of gasoline per gallon increased by `5\%`.
Select all of the expressions that represent this week's price of gasoline per gallon.
A. g+ 0.05
B. g + 0.05g
C. 1.05g
D. 0.05g
F. (1 + 0.05) g