Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
Twice the difference of a number and 7 is at most-17.
Answer:
[tex]x\leq 15.5[/tex]
Step-by-step explanation:
A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.
Determine the probability that the card is an E
Answer: 1/10 or 10%
Step-by-step explanation:
The required probability that the card is an E will be 0.1%.
What is probability?A Probability can be defined as the ratio of favorable outcomes to the total number of events.
P(E) = Number of favorable outcomes / total number of outcomes
A set of cards has sample = U E A R Q H C H L A
Total number of sample s(n) = 10
We need to find the probability that the card is an E
For probability for E,
p(E)= 1 / 10 = 0. 1%
Thus, the required probability that the card is an E will be 0.1%.
Learn more about probability here:
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21 radical sign p^-4/p^3
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
-3(x + 4) = 6(-x - 1)
Answer: x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-3(x+4)=6(-x-1)
1. Distribute
-3x+(-12)=-6x-6
-3x-12=-6x-6
3x-12=-6
3x=6
x=2
A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle of 65°. Your are hired to build a fence around the playground. Find the cost of the fencing material needed if it will cost $11.75 a foot.
Answer:
$5,671.84
Step-by-step explanation:
To find the third side, we can use the law of cosines:
c^2 = a^2 + b^2 - 2ab*cos(theta)
c^2 = 157^2 + 157^2 - 2*157*157*cos(65)
c^2 = 28463.7649
c = 168.71 feet
The perimeter of the playground is:
P = 157 + 157 + 168.71 = 482.71 feet
If each foot costs $11.75, the final cost is:
Cost = 482.71 * 11.75 = $5,671.84
Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
4.5
6
14
15.5
Answer:
The standard deviation from the mean is the square root of the variance.
Therefore, SD = sqrt(VAR) = sqrt(36) = 6
Hope this helps!
:)
:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
RESULUTIONS
4.5
6
14
15.5
ANSWER.=6
help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste
Answer:
7 times
Step-by-step explanation:
So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)
So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings
Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7
hope i helped :) im not sure what you mean by model :(
Which of the following statements is true for inverse functions ƒ(x) and g(x)?
Question 1 options:
A)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
B)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0
C)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1
D)
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)
Answer:
A
Step-by-step explanation:
Given: functions f(x) and g(x)
To choose: the correct option
Solution:
A function is a relation in which each element of the domain has a unique image in the co-domain.
Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.
Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.
Answer:
A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x
Step-by-step explanation:
If the quadratic model applies the function f(x) = -0.11688x² + 2.5355x + 7.0238, what is the predicted value and residual when the tree is 7 years old with a height of 19?
Answer:
predicted value = 19.04518
Residual = -0.04518
Step-by-step explanation:
Residual = y - predicted y
In this case y = 19 for a 7 year old tree.
f(7) = 19.04518
Residual = 19 - 19.04518
Residual = -0.04518
cathy uses 7.9 pints of blue paint and white paint to paint her bedroom walls 3/4 of this amount is blue paint and the rest is white paint how many pints of white paint did she use to paint her bedroom
Answer:
1.975 pints of white paint
Step-by-step explanation:
Let blue paint represents by 'b' and white paint represents by 'w'.
Then according to the question
b + w = 7.9 pints .......(1)
Amount of blue paint = [tex]\frac{3}{4}[/tex] of the total amount
= [tex]\frac{3}{4}\times 7.9[/tex]
= 5.925 pints
Hence the amount of blue paint is 5.925 pints.
Now putting the value of 'b' in equation (1)
5.925 + w = 7.9
w = 7.9 - 5.925
w = 1.975 pints
Cathy used 1.975 pints of white paint to paint her bedroom.
Ella spends $4.25 each day for lunch at school. How much money does she spend on lunches for 5 days?
Answer:
21.25
Step-by-step explanation:
Answer:
21.25
Step-by-step explanation:
4.25x5=21.25
What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4
d) -4 1/2y + 2
Answer:
B. -3 1/2y + 2
Step-by-step explanation:
Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].
Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:
[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]
Now, we have:
[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]
We want to combine like terms, which means combining all the terms with y in them:
[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]
Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:
-3 1/2y + 2
The answer is thus B.
~ an aesthetics lover
A square pyramid has a base of total area of 144 m square root 2 and a volume of 384m cubic what is the slant height of the pyramid?
Answer:
Slant height of the pyramid = 11.66 m
Step-by-step explanation:
A squad pyramid has a volume of
V = ⅓ × (area of base) × (vertical height)
Area of the pyramid's square base = 144 m²
Volume = 384 m³
384 = ⅓ × 144 × (vertical height)
Vertical height = (3×384)/(144) = 8 m
But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.
The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.
The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.
Area of the square base of the pyramid = 144 m²
Area of a square = (side length)²
Side length = √(Area of the square) = √144 = 12 m
Using Pythagoras theorem,
(Length of the diagonal)² = 12² + 12² = 288
Length of the diagonal = (12√2) m
Half of the length of the diagonal of the square base = 6√2 m
Using Pythagoras theorem further
(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²
(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136
Slant height of the pyramid = √136 = 11.66 m
Hope this Helps!!!
Find the volume of the figure. Use 3.14 for pi.
Answer:
10082.36cm²
Step-by-step explanation:
The formula for volume of a cone: V = [(3.14) r²](h/3)
Steps:
1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm
2. Find the value of the height: 31cm
3. Plugin: [(3.14) 13²] (31/3)
Solve for the volume of the cone:
a) 13² = 169
b) 169(pi) = 530.66
c) 530.66 (31/3) = 530.66 (10.3333)
Volume of cone: 5483.31
The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]
Steps:
1. Find the value of the radius: 13cm
2. Solve for the volume of the hemisphere
1. 13x13x13 = 2197
2. 2197 (3.14) = 6898.58
3. (4/3) 6896.58 = 9198.1067
4. (1/2) 9198.1067 = 4599.05
Add the two volumes together:
4599.05+5483.31 = 10082.36cm²
This took forever since I used the google calculator, but it got done after forever! Hope this helps!
The Volume of the figure is 10,082.53 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is a three-dimensional quantity used to calculate a solid shape's capacity.
We have a cone surmounted by Hemisphere.
So, Volume of Figure
= Volume of Cone + Volume of Hemisphere
= 1/3 πr²h + 2/3 πr³
= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13
= 5,483.48 + 4,599.05
= 10,082.53 cm³
Learn more about Volume here:
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Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10 d plus 0.05 n equals 5.25, where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?
Answer:
To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25
We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
Sonji has 63 nickels.
Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.
Step-by-step explanation:
Answer:
she has 63 nickels
Step-by-step explanation:
21 dimes = 2.10$
5.25 - 2.10 = 3.15
3.15 ÷ 0.05 = 63
63 = 63 nickles
Hope this helped :3
Observe a sequência de figuras a seguir.
Considerando que a lei de formação permanecerá a mesma, a figura que ocupará a posição 53a na sequência dada, será:
Answer:
C) Equal to the figure in position 3.
Step-by-step explanation:
Assume the sequence of figures is like the one below.
The pentagons differ in the number of stars in the sequence:
1, 2, 3, 4, 5, 1, 2, 3, 4, 5…
The sequence repeats after the fifth term.
To find the 53rd term, find the remainder for 53 ÷ 5.
53 ÷ 5 = 10, with a remainder of 3.
This tells you there are ten complete sequences (50 numbers), and three more numbers.
The 53rd term is 3, so
The figure that will occupy position 53 in the sequence is equal to the figure in position 3.
I need help with this am not smart pls help
determine whether the function represented by the equation is quadratic
Answer:
not quadratic because there is not a quadrat in it.
Step-by-step explanation:
The graph of a quadratic funtion is a parabola.
The general form of quadratic function is this:
f(x) = ax² + bx + c
Where a, b, and c are numbers.
Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.
In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.
solve the equation for x and enter your answer in the box below
x + 14 =27
Answer: x = 13
Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.
So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.
The +14 -14 cancels out so we're left with x on the left.
On the right, we must subtract 14 from 27 to get 13.
So we have x = 13 which is the solution to this equation.
Answer:
[tex]x = 13[/tex]
Step-by-step explanation:
[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]
I need help in fractions
Answer:
I’ll help you just show me the question
Step-by-step explanation:
8y=4x-32/2 slope intercept form
Answer:
y=0.5x-2
Step-by-step explanation:
8y=4x-32/2
First thing you are going to do is solve for 32/2=16 and then enter it into the equation.
8y=4x-16
Second thing you are going to do is divide everything by 8 to get rid of 8y.
8y=4x-16
-------------
8
4/8=0.5 and 16/8=2
y=0.5x-2
describe the relationship between 45 stundents and 15 stundents
Is Y=5x+2 in slope intercept form?
Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.
Step-by-step explanation:
-The equation of a slope-intercept form:
[tex]y = mx + b[/tex] (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).
Help me pleaseee someone
Answer:
55°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (35 + 90) = angle B
180 - (125) = angle B
55 = angle B
So, angle B has a measurement of 55°
please help me with this
Answer:
3/8
Step-by-step explanation:
Find the height of the trapezoids
20 - 10 = 10
10/2 = 5
Find the area of the trapezoids
5*(20+10)/2 = 75
The formula for the area of the trapezoid is the height * the bases added together divided by 2
75*2(this is because there are 2 trapezoids) = 150
Put this to proportion of the total area of the dart board
150/[tex]20^{2}[/tex] = 150/400 = 3/8
3/8 is the probability that you score 3 points
A square unit that is 1 unit wide and 1 unit long is a?
Answer:
A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?
A. 8°
B. 9°
C. 16°
D. 18°
Answer:
C
Step-by-step explanation:
Answer:
A. 8
Step-by-step explanation:
#platolivesmatter
You buy a basket of 24 strawberries. You eat them
as you walk to the beach. It takes the same amount of time to walk
each block. When you are halfway there, half of the berries are gone.
After walking 3 more blocks, you still have 5 blocks to go. You reach
the beach 28 minutes after you began. One-sixth of your strawberries
are left.
a. Is there enough information to find the time it takes to walk each
block? Explain.
b. Is there enough information to find how many strawberries you
ate while walking the last block? Explain.
Answer:
yes
Step-by-step explanation:
there is enough information
your garden has a perimeter of 36 feet. what is the length of missing side.
Answer:
I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.
Hope this helped!
Can I get brainliest?
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
False
Step-by-step explanation:
3/4 = 9/16
Multiply the left side by 4/4 to get a common denominator
3/4*4/4 = 12/16
This is not equal to 9/16 so this is not a proportional relationship
Answer:
False
Step-by-step explanation:
3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.
Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.
