Answer:
Exponential growth of 7%
Step-by-step explanation:
We are given the function:
A function is shown: f(x) = (1.07)^x
We can compare this to a formula of Exponential Growth
y = a(1 + r)^x
Hence:
1 + r = 1.07
r = 1.07 - 1
r = 0.07
Converting to percy
0.07 × 100
= 7%
Therefore, the function represents Exponential growth of 7%
Answer:
It is
Exponential decay of 93%
Step-by-step explanation:
:3 hope that helped!
The soup pot is 7.5 inches tall with a radius of 4.5 inches. What is the volume of the soup pot?
Answer:
Step-by-step explanation:
the pot will be a cylinder,
V=3.14*r^2*h
V=3.14*(4.5)^2*7.5=476.89
The volume of the soup pot is equal to 476.89 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.
The space occupied by the cylinder in three-dimensional space is called the volume of the cylinder.
Given that the soup pot is 7.5 inches tall with a radius of 4.5 inches. The volume of the soup pot will be calculated as,
V=3.14 x r² x h
V=3.14 x (4.5)² x 7.5
V =476.89 cubic inches
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A total of 768 tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 more
student tickets sold than adult tickets. How many adult tickets were sold?
.
Answer:
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350
x + 61 = 411
Answer:
i could meane that only the adults bought 768 totel
Step-by-step explanation:
A farmer wants to estimate the average growth in height of his corn plants over a two-week period. Of his 5,000 plants, 1,500 are on plots where he grew corn last year, 3,000 are on plots where he grew soybeans last year, and 500 are plots where nothing but grass grew last year. The farmer wants to use a stratified sample of 200 plants based on what grew on the plots the year before. How many plants from plots where he grew corn last year should be included in his sample? Enter a whole number.
Answer:
60
Step-by-step explanation:
Given that :
Total crop on corn plot = 1500
Total on soya bean plot = 3000
Total on grass plot = 500
Total plants = 5000
A Stratified sample of 200 corn plants is to be selected ;
Number of samples he takes from each plot:
Percentage of number of samples :
x% of 5000 = 200
0.01x * 5000 = 200
50x = 200
x = 200/50
x = 4%
Hence, number of plants to be selected from corn plot :
4% of 1500
0.04 * 1500
= 60
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the
ranslation?
O(x, y) = (x + 5, y-3)
O (X,Y) - (x + 5, y + 3)
O(x, y) = (x-3, y + 5)
(x, y) = (x + 3, y + 5)
Answer:
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.
3) O(x,y)=(x-3,y+5)
The rule that describes the translation is (x, y) -> (x - 3, y + 5), the correct option is C.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y =[tex]k \times f(x)[/tex]
Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]
We are given that;
5 units up and 3 units to the left
Now,
In this case, the rectangle is translated 5 units up and 3 units to the left. This means that the vertical shift is 5 and the horizontal shift is -3.
After transformation x=x - 3
Y=y + 5
Therefore, the transforming function will be (x, y) -> (x - 3, y + 5).
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The table below shows the number of kool-aid packets needed to make different amounts of fruit punch. What is the total number of kool-aid packets needed to make 10 quarts of fruit punch?
Answer:
36
Step-by-step explanation:
The paper is adding 9
John can buy a 8 pencil for 1.25 or a 12 pencil for 2.00 which is the better buy
Answer:
8 pencil for 1.25 because you save more money.
Step-by-step explanation:
Answer:
8 pencils is a better buy
Step-by-step explanation:
at 8 pencils for 1.25, each pencil costs about 16 cents and at 12 pencils for 2.00, each costs about 17 cents
Solve and Simplify if you can
Alexa is baking a cake. She uses 2 3/4 cups of flour for her recipe. She decides to double her recipe. How many cups of flour will see need?
Answer:
5 1/2 cups
Step-by-step explanation:
2.75 times 2
Kiara invested $3,500 into two accounts. One account paid 5% interest and the other paid 7.5% interest. She earned 6%
interest on the total investment. How much money did she put in each account?
Answer:
A=$2100
B=$1400
Step-by-step explanation:
3500*1.06=3710
a+b=3500
1.05a+1.075b=3710
1.05a+1.05b=3675
1.05a+1.075b=3710
Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710
0.025b=35
b=1400
a=3500-1400=2100
Double check: (2100*1.05)+(1400*1.075)=3710
3500*1.06=3710
The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
0.05a + 0.075b = (0.06 x $3500)
0.05a + 0.075b = $210 ----- equation 1
a + b = $3,500 -------- equation 2
Where:
a is the amount invested in the account that paid a 5% interest.
b is the amount invested in the account that paid a 7.5% interest.
The amount invested in the account that pays a 7.5% interest.
In order to determine this value, multiply equation 2 by 0.05
0.05a + 0.05b = 175 ------- equation 3
0.025b = 35
b = $1400
The amount invested in the account that pays a 5% interest.
a + $1400 = $3500
a = $3500 - 1400
a = $2100
Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
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DETERMINA EL VOLUMEN DE UN PRISMA PENTAGONAL QUE TIENE LAS SIGUIENTES MEDIDAS: LADO 6.1 CM, APOTEMA 4.5, ALTURA 12.5CM DEL PRISMA
Answer:
837.23 cm³
Step-by-step explanation:
La fórmula para el volumen de un prisma pentagonal se da como:
1/2 (5 s × a) × h
Dónde:
s = longitud lateral
a = Apotema
h = altura
De la pregunta anterior:
s = largo de lado = 6.1 cm
a = Apotema = 4.5 cm
h = Altura = 12.5 cm
Por lo tanto:
El volumen del prisma pentagonal =
1/2 (5 × 6.1 × 4.5) × 12.5
= 1/2 × 137.25 × 12.5
= 837.225 cm³
Aproximadamente = 837.23 cm³
Choice A)
A
1 \cdot 10^{-4}\text{ kg}1⋅10
−4
kg1, dot, 10, start superscript, minus, 4, end superscript, start text, space, k, g, end text
(Choice B, Checked)
B
1 \cdot 10^{-3}\text{ kg}1⋅10
−3
kg1, dot, 10, start superscript, minus, 3, end superscript, start text, space, k, g, end text
An African elephant has a mass of 8139 \text{ kg}8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:
(Choice A, Checked)
A
8 \cdot 10^{3}\text{ kg}8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text
(Choice B)
B
8 \cdot 10^{4}\text{ kg}8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
Approximately how many times as large is the mass of an African elephant as the mass of a worker bee?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
8\cdot 10^68⋅10
6
8, dot, 10, start superscript, 6, end superscript
(Choice B)
B
8\cdot10^78⋅10
7
8, dot, 10, start superscript, 7, end superscript
(Choice C)
C
8\cdot10^88⋅10
8
Answer:
Answer:
1). Option (A)
2). Option (A)
Step-by-step explanation:
1). A worker bee has the mass = 0.00011 kg
In scientific notation we can convert the mass of bee as,
0.00011 =
=
Since 1.1 ≈ 1,
Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg
Option (A) is the answer.
2). An African elephant has a mass = 8139 kg
In scientific notation,
8139 = 8.139 × 10³
Since, 8.139 ≈ 8
Therefore, 8139 kg = 8.139 × 10³ kg
Option (A) is the answer.
Hope this helps! ;)
Step-by-step explanation:
Answer:
Answer:
1). Option (A)
2). Option (A)
Step-by-step explanation:
1). A worker bee has the mass = 0.00011 kg
In scientific notation we can convert the mass of bee as,
0.00011 =
=
Since 1.1 ≈ 1,
Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg
Option (A) is the answer.
2). An African elephant has a mass = 8139 kg
In scientific notation,
8139 = 8.139 × 10³
Since, 8.139 ≈ 8
Therefore, 8139 kg = 8.139 × 10³ kg
Option (A) is the answer.
Step-by-step explanation:
__+5=-2 Solve to get your answer
Answer:
-7
Step-by-step explanation:
-2 - 5 is -7
Answer:
-7
Step-by-step explanation:
?+5=-2
-5 -5
?=-7
4 2/3 divided by 3 3/4
Answer:
56/45 or 1 11/45
Step-by-step explanation:
change to improper fractions and multiply the first by the reciprocal of the second
[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{15}{4}[/tex] = [tex]\frac{14}{3}[/tex] · [tex]\frac{4}{15}[/tex] = [tex]\frac{56}{45}[/tex]
45 goes into 56 1 time with a remainder of 11
Answer:
56 /33 Decimal: 1.69697)
Step-by-step explanation:
hope it helps
For this item select in the choice matrix by clicking the appropriate boxes in each row
Answer:
[tex](a):\ y = \frac{x + 3}{7}[/tex] --- Function
[tex](b):[/tex] Not a function
[tex](c):[/tex] A function
Step-by-step explanation:
Given
See attachment
Required
Determine if each relation is a relation or not
A function is represented as: [tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}[/tex]
Where
[tex]x = domain[/tex] and [tex]y = range[/tex]
For a relation to be a function:
No x value (in other words, the domain) must be repeated
[tex](a):\ y = \frac{x + 3}{7}[/tex]
The above relation is a function. This is so because every unique value of x have a unique value of y.
In other words:
No two domains exist for a range
Conclusively, it is a one-to-one function
[tex](b):[/tex]
[tex]\begin{array}{ccccc}x & {-2} & {-2} & {1} & {3} \ \\ y & {-5} & {-1} & {3} & {7} \ \ \end{array}[/tex]
In the above table, we have:
[tex](x_1,y_1) = (-2,5)[/tex] and [tex](x_2,y_2) = (-2,-1)[/tex]
The domain (-2) points to range (5 and -1).
Based on the condition that no two domain should point to the same range, we can conclude that this is not a function.
[tex](c):[/tex]
[tex]\begin{array}{ccccc}x & {-3} & {-1} & {1} & {3} \ \\ y & {-4} & {-4} & {2} & {2} \ \ \end{array}[/tex]
In the above table, we have the domain to be:
[tex]x = \{-3,-1,1,3\}[/tex]
We can see that no x value is repeated.
Hence, this is a function.
Create a two step equation that results in
the answer being 5.
Answer:
2x + 3 = 13
Step-by-step explanation:
Answer:
THE PERSON UP TOP IS RIGHT
Step-by-step explanation:
5 ;)
A large pizza at a restaurant has the dimensions shown. Find the area of the pizza. Use4 for T.
Answer:
it does not show the picture for me but can u post it again so I can try answering it
Find the value of x in the triangle shown
is this the question
I can barely see the question
Bill works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours Bill worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
31
Step-by-step explanation:
write a comparison using to show the relationship between 2/3 and 5/6
Answer:
2/3<5/6
Step-by-step explanation:
The least common denominator (LCD) is: 6.
4/6 < 5/6
Therefore, comparison shows:
2/3 < 5/6
Consider the directed line segment from M(2,7) to (10,-4) points A,R and K are on MS
Answer:
Step-by-step explanation:
Input Data :
Point 1
(
x
A
,
y
A
)
= (0, 2)
Point 2
(
x
B
,
y
B
)
= (8, 8)
Objective :
Find what is a midpoint of a line segment?
Solution :
Midpoint
(
x
M
,
y
M
)
=
(
x
A
+
x
B
2
,
y
A
+
y
B
2
)
=
(
0
+
8
2
,
2
+
8
2
)
=
(
8
2
,
10
2
)
Midpoint of a line segment
(
x
M
,
y
M
)
= (4, 5)
hope that help
mark me brill
A system of two equations is shown.
2 + 2y = 6
2x - 3y = 26
What is the solution of the system?
0 (-2,3)
(1, -2)
O (-2.4)
(10.-2)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the system of equations
2 + 2y = 6
2x - 3y = 26
Let us solve the system of equations
[tex]\begin{bmatrix}2+2y=6\\ 2x-3y=26\end{bmatrix}[/tex]
Rearrange equations
[tex]\begin{bmatrix}-3y+2x=26\\ 2y=4\end{bmatrix}[/tex]
Multiply -3y+2x=26 by 2: -6y+4x=52
Multiply 2y = 4 by 3: 6y = 12
[tex]\begin{bmatrix}-6y+4x=52\\ 6y=12\end{bmatrix}[/tex]
adding the equations
[tex]6y=12[/tex]
[tex]+[/tex]
[tex]\underline{-6y+4x=52}[/tex]
[tex]4x=64[/tex]
Solve 4x = 64 for x
[tex]4x = 64[/tex]
divide both sides by 4
[tex]\frac{4x}{4}=\frac{64}{4}[/tex]
Simplify
[tex]x = 16[/tex]
For -6y+4x = 52 plug in x = 16
[tex]-6y+4\cdot \:16=52[/tex]
Multiply the numbers: 4 · 16 = 64
[tex]-6y+64=52[/tex]
Subtract 64 from both sides
[tex]-6y+64-64=52-64[/tex]
Simplify
[tex]-6y=-12[/tex]
Divide both sides by -6
[tex]\frac{-6y}{-6}=\frac{-12}{-6}[/tex]
[tex]y=2[/tex]
Therefore, the solution to the system of equations be:
[tex]y=2,\:x=16[/tex]
Thus,
(x, y) = (16, 2)
Please note that it seems your answer choices have not included the correct option.
Answer:
(10 -2)
Step-by-step explanation:
first you have to substitute the value of x, solve that, substitute the value of y, solve, and that’s about it. :)
a ball begins rolling down a hill. after 5 seconds, its velocity is 10 meters per second. what is the acceleration of the ball?
5m/s/s
10m/s/s
15m/s/s
2m/s/s
Answer:
2m/s/s
Step-by-step explanation:
It was 0 m/s/s before, and now it is 10 / 5 = 2 m/s/s
How many 1/5(as a fraction) cup servings are in 3 cups of pasta?
Answer:
just do 5x3. there are 15 servings
Step-by-step explanation:
Can anyone awnser this question
write the equivalent expression to x-3y+7
ILL MARK BRAINLIEST
Answer:
2x-6y+14
This expression will simplify back to x-3y+7
Answer:
y= 1/3x-7/3
Step-by-step explanation:
We have: x-3y+7
There are many equivalent expressions we can create, but let's write this equation in slope- intercept form.
First step is to rearrange the terms: -3y=-x+7
But we are not done yet; now we divide both sides with -3: y=1/3x-7/3
(The negatives cancel out, which is why we get a positive 1/3)
Change the following mixed expressions to fractions and then simplify the complex fractions.
xy-4x^5/x^2-xy
Answer:
X=2
Step-by-step explanation:
What is the slope for y = -4x -8
Answer:
The slope is -4
Step-by-step explanation:
Answer: -4
-4 is the slope because in the equation y=mx+b, m represents the slope.
hope this helps :)
Find the zeroes of the function and write in a+bi form. -(x+1)^2-4=0
Answer:
x = 2 + √-16 [ (-2)⁻¹]
See steps below.
Step-by-step explanation:
Finding the zeroes of a function simply means solving for the unknown variable (in this case "x") when the function is equated to zero.
The function here is [tex]f(x) = -(x + 1)^{2} - 4 = 0[/tex]
Start by opening the bracket. Ignore the minus sign. It will be reintroduced at the end of this step.
(x + 1)(x + 1) = x² + x + x + 1 = x² + 2x + 1
Reintroduce the minus sign. Don't forget to put the result above back in a bracket.
- (x² + 2x + 1) = -x² -2x -1
Place the expression back in the equation and solve. Make sure to put it back in the position where it was.
-x² - 2x - 1 - 4 = 0
Simplify the non-algebraic terms.
-x² - 2x - 5 = 0
Use Quadratic Formula to solve for x.
Quadratic formula: x = -b ± √(b² - 4ac)
2a
a = the coefficient of x² = -1
b = the coefficient of x = -2
c = the unit term = -5
So x = -(-2) ± √ [(-2)² - 4(-1 x -5)]
2(-1)
x = 2 + √-16 or x = 2 - √-16
-2 -2
This is where the evaluation ends, since the square root of minus sixteen cannot be evaluated. x hence is equal to a complex number. The above are the two values for x.
Next step is to put it in "a + bi" form.
x = 2 + √-16 ÷ -2 = 2 + √-16 x (-2)⁻¹
So x = 2 + √-16 [ (-2)⁻¹]
where
a is 2;
b is √-16
i is [(-2)⁻¹]
find the area of the figure
Answer:
64 meters^2
Step-by-step explanation:
Break the shape into small parts:
The largest rectangle's area is: 5*11 = 55 meters^2
The smaller rectangle's area: 3*3 = 9 meters^2
55 m^2+9m^2 = 64 meters^2
8) Given Similar Triangles, find x.
8
Answer:
×=14
Step-by-step explanation:
24÷16=1.5
21÷1.5=14
