An exponential function has a growth factor or 3.76. What is the percentage growth rate?
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
How to determine the percentage growth rate?The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
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Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km
The Distance between the motorcycles is 35.3 km
Pythagoras theorem shows the relationship between sides in a right angled triangle.
The distance moved north, distance moved west and the distance between the motorcycles form a right angled triangle.
distance between the motorcycles² = distance moved north² + distance moved north²
Distance between the motorcycles² = 15² + 32²
Distance between the motorcycles² = 1249
Distance between the motorcycles = 35.3 km
Hence the Distance between the motorcycles is 35.3 km
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Order these numbers from least to greatest.
8.506, 8.6, 8.5612, 8.56
Answer:
It goes 8.506, 8.56, 8.5612, 8.6
Happy to Help
Convert 18.2 kilograms to grams
Convert 18.2 kilograms to grams
1 kg is equal to 1000g
18.2 kg * 1000g/1kg = 18200 g
The answer would be 18200 g
Please help me Study the Venn diagram.
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Which statement is correct?
–5 cannot be written as a fraction, so it is not rational.
–5 is a rational number, but not an integer.
–5 is a counting number, so it is also a whole number.
–5 is an integer, but not a whole number.
Answer:
Its a counting number and a whole number so thirdd one
Step-by-step explanation:
Answer:
D-5 is an integer, but not a whole number.
got that right on edge!
Step-by-step explanation:
hope this helps:)
Find the product of -5.4 and -0.12
Answer:
0.648
Step-by-step explanation:
Multiply
−
5.4 by −0.12.
0.648
Another Method
(−5.4)(−0.12)
= 0.648
Comes Out To The Same
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Hope This Helps
Consider the functions f(x)=x2 and g(x)=x-9
Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape of a right rectangular
prism and the dimensions, in inches, are 367 x 19 x 24. During the set-up, Alex fills the aquarium with 6,039
ins of water.
What percent of the volume of the aquarium is filled with water? Round your answer to the nearest whole percent.
Enter your answer in the space provided.
Answer:
4%
Step-by-step explanation:
Formula for volume of a right rectangular prism is;
V = lwh
Where;
l is length
w is width
h is height
We are given l = 367; w = 24; h = 19
Thus;
Volume is;
V_full = 367 × 24 × 19
V_full = 167352 in³
We are told that Alex filled the aquarium with 6039 in³ of water.
Thus, percentage of the aquarium filled with water is;
(6039/167352) × 100% = 3.61%
Approximating to nearest percent gives; 4%
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
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Help please. I give brainliest. (I accidentally marked this as mathematics its actually history)
Answer:
A
Step-by-step explanation:
I think because The United States allowed Japan to keep its emperor — Hirohito — after the war. Japan's post-war constitution became official on May 3, 1947, and Japanese citizens elected a new legislature. The U.S. and other allies signed a peace treaty in San Francisco formally ending the war in 1951.
According to Office Of The Historian," The outbreak of the Korean War in 1950 provided SCAP with just the opportunity it needed to address this problem, prompting some occupation officials to suggest that, “Korea came along and saved us.” After the UN entered the Korean War, Japan became the principal supply depot for UN forces. The conflict also placed Japan firmly within the confines of the U.S. defense perimeter in Asia, assuring the Japanese leadership that whatever the state of its military, no real threat would be made against Japanese soil."
Answer: Japan produced supplies for the United States during the Korean War.
A
I NEED HELP!!
What is 3x + 4 = 28
Answer:
x=8
Step-by-step explanation:
3x+4=28
3x=24
x=8
calculate the Breakeven number of units if the fixed expenses are $7,000 and the contribution margin is $60 per unit
Answer:
The break even number of units is 116.6666666667
Breakeven point is where neither profit nor
loss is incurred by a firm. It is where you have to make just as much as what you are spending.
Break even point (BEP) is computed as ;
= Fixed cost / Contribution margin
=
$7,000 / $60
= 116.6666666667 units.
Therefore, the break even number of units if the fixed expenses are $7000 and the contribution margin is $14 per unit is 116.6666666667 units
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned
Answer:
The warranty period should be of 35 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Cook-Easy blender has a mean time before failure of 41 months with a standard deviation of 4 months
This means that \(\mu = 41, \sigma = 4\)
What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the blenders returned?
The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.405 = \frac{X - 41}{4}\)
\(X - 41 = -1.405*4\)
\(X = 35.4\)
Rounding to the nearest integer, 35.
The warranty period should be of 35 months.
A teacher designs a test so a student who studies will pass94% of the time, but a student who does not studywill pass14% of the time. A certain student studies for91% of the tests taken. On a given test, what is theprobability that student passes
Answer:
0.868 = 86.8% probability that the student passes.
Step-by-step explanation:
Probability of the student passing:
94% of 91%(when the student studies for the test).
14% of 100 - 91 = 9%(when the student does not study for the test). So
\(p = 0.94*0.91 + 0.14*0.09 = 0.868\)
0.868 = 86.8% probability that the student passes.
College students were given three choices of pizza toppings and asked to choose one favorite Results are shown in the table toppings Sremam 15 24 28 28 15 1 11 23 28 cheese meat 23 15 veggie Estimate the probability that a randomly selected student who is a junior or senior prefers veggie. Round the answer to the nearest thousandth
A. 371
B. 220
C. 395
D. 662
Answer:
B. 0.220
Step-by-step explanation:
The table is presented properly below:
\(\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|\)
Number of junior students who prefers veggies =23
Number of senior students who prefers veggies =28
Total =23+28=51
Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie
=51/232
=0.220 (to the nearest thousandth)
The correct option is B.
Please help I’ll mark you as brainliest if correct!!
The set of letters in the word 'woodpecker' using the listing (roster) method is {c, d, e, k, o, p, r, w}
Writing the elements of a SetFrom the question, we are to write the set of letters in the given word.
The given word is 'woodpecker'.
We are to write the set using either the listing (roster) method or the set builder notation.
The most concise way of writing the set is by using the listing (roster) method.
The roster method is a way to show the elements of a set by listing the elements inside of bracket.
The set of the letters in the given word is {c, d, e, k, o, p, r, w}
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What is the value of sin(A)?
B
Y
A
10
6
Х
8
N
Answer:6/10
Step-by-step explanation:
The value of sin(A) is 0.6 or about 36.87°.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
we are given that;
The two triangles
Now,
To find the value of sin(A), you need to use the sine function formula, which is:
sin(A) = opposite/hypotenuse
The opposite side of angle A is YN and the hypotenuse is AN. You can use the Pythagorean theorem to find the length of AN:
AN 2 = AY 2 + YN 2 AN 2 = 8 2 + 6 2 AN 2 = 64 + 36 AN 2 = 100 AN = √100 AN = 10
Therefore, sin(A) = YN/AN = 6/10 = 0.6
You can also use a calculator to find the angle A using the inverse sine function:
sin −1 (0.6) = A A ≈ 36.87°
Therefore, by trigonometric ratios the answer will be 0.6 or about 36.87°.
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Need help in math mathematics writing inequalities
Answer: 60h + 75 < 200
_
Step-by-step explanation: You dont want to spend more than 200 dollars and every hour (H) is multiplied to 60
1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.
Max points
9514 1404 393
Answer:
(d) y = -1/24x² (b) y = 1/36x²Step-by-step explanation:
1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...
y = 1/(4p)x²
where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...
y = -1/24x²
__
2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...
y = 1/36x²
If carpet costs $3.25 per square yard, how much would it cost to carpet a rectangular room that is 8 yards wide and 12 yards long?
Answer: $312.00
Step-by-step explanation:
By multiplying the area of the floor wanted to be carpeted by the price rate, you can conclude that this room would cost $312 dollars to be carpeted.
Plz help I need help
Answer:the answer is d
Step-by-step explanation:
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 60% chance of hiring at least two candidates. There is only a 7% chance that it will not make any hires and a 10% chance that it will make all three hires.
a. What is the probability that the firm will make at least one hire? (Round your answer to 2 decimal places.)
b. Find the expected value and the standard deviation of the number of hires. (Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)
Suppose that y varies directly with x, and y = 25 when x = -5.
A) Write a direct variation equation that relates x and y
B) Find y when x = 3
Step-by-step explanation:
y=kx
25= k(-5)
k= -5
y= -5x
y = -5 ×3 = -15
Divide.
160 ÷ 31 =
remainder
Stuck? Review related articles/videos or use a hint
The playground pictured here is having rubber flooring installed to help protect children against injuries from falls. If the cost, including installation, is $8.00 per square foot, what is the total cost of installing the surface?
Answer:
$6,672
Step-by-step explanation:
Area of Playground
Area (rectangle) + 2 x Area (semicircle)26 x 20 + 2 x 3.14 x 10² x 1/2520 + 314834 square feetCost
$8.00 per square feet$8 x 834$6,672Answer:
Using π: $6,673.27 (nearest cent)
Using π = 3.14: $6,672
Step-by-step explanation:
Separate the figure into a rectangle and two semicircles.
Area of a rectangle = width × length
= 20 ft × 26 ft
= 520 ft²
Area of a semicircle = 1/2 π r²
= 1/2 π · 10²
= 50π ft²
⇒ Total area = area of rectangle + (2 × area of semicircle)
= 520 + (2 × 50π)
= (520 + 100π) ft²
⇒ Total cost = area × cost
= (520 + 100π) × $8
= $6,673.27 (nearest cent)
**using π = 3.14**
Total cost = (520 + 100 × 3.14) × $8 = $6,672
-3^0/5^-2
what is the answer?
The answer is -25 I'm pretty sure
\( \frac{ - {3}^{0} }{ {5}^{ - 2} } \)
\( = \frac{1}{ \frac{1}{ {5}^{ 2} } } = \frac{1}{25} = \frac{1 \times 25}{1} = \frac{25}{1} \)
\( = 25\)
Given points $A(2,3)$, $B(-1,4)$, and $C(-2,-2)$, determine point $D$ so that the slope from $A$ to $B$ equals the slope from $C$ to $D$, and the slope from $A$ to $D$ equals the slope from $B$ to $C$.
Answer:
D is approximately (-2, -1)
Step-by-step explanation:
\({ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}\)
\({ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}\)
Solve the green equation and blue equation simultaneously:
\({ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}\)
Let the co-ordinates of D be (a,b)
Slope of AB =Slope of CD\(\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}\)
\(\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}\)
\(\\ \tt\hookrightarrow -a-2=2b+4\)
\(\\ \tt\hookrightarrow a+2b+6=0\dots(1)\)
Slope of AD=Slope of BC\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}\)
\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6\)
\(\\ \tt\hookrightarrow 6a-12=b-3\)
\(\\ \tt\hookrightarrow 6a-b-9=0\dots(2)\)
Multiplying 2 with eq(2)
\(\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)\)
Add eq(1) and (3)\(\\ \tt\hookrightarrow 13a-12=0\)
\(\\ \tt\hookrightarrow a=12/13=0.9\to 1\)
Put in eq(1)\(\\ \tt\hookrightarrow 12/13+2b+6=0\)
\(\\ \tt\hookrightarrow 90/13=-2b\)
\(\\ \tt\hookrightarrow b=-90/26=-3 4\to 3\)
(2x^2-9x-5) \div(x-5)
Answer:2x+1
Step-by-step explanation:
15 A 45om long field is drawn a scale Icm to 9om Find the length of the dam drawing.
Answer:
The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.
Therefore, the length of the dam drawing is 5 cm.
Step-by-step explanation:
5
8)
8 h
a
X5.84
Area:
Perimeter:
Туре:
30.252
X_2
60.
a = 6.3 mm h= 5.84 mm
9
30.252
Paralellogram
The area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
What is parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides.
The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.
There are four distinct types of parallelograms, including three distinct types.
Rhombuses, parallelograms, squares, and rectangles are the four types.
So, the given image itself tells that the given figure is a parallelogram.
The area of the given parallelogram is:
A = b*h
A = 6.3*5.84
A = 36.792 mm²
The perimeter of the given parallelogram:
P = 2(a+b)
P = 2(6.3+5.84)
P = 24.28 mm
Therefore, the area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
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