Answer: 2114
Step-by-step explanation:
m = sum of the terms / number of terms
151 = a/ 14
14 x 151 = a
2114 = a
Answer:
21.14 m
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
here mean is 151 cm and count = 14 , then
[tex]\frac{sum}{14}[/tex] = 151 ( multiply both sides by 14 to clear the fraction )
sum = 14 × 151 cm = 2114 cm = 2114 cm ÷ 100 = 21.14 m
Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed
The volume of the pyramid on the left is greater by 8 inches cubed
We have given that,
A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.
The equation for finding the volume of a pyramid is,
What is the volume of a pyramid?lwh/3
when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.
Therefore, 128 - 120 = 8
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Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula? uppercase p = startfraction uppercase a over 1 r t endfraction uppercase p = startfraction 1 r t over uppercase a endfraction uppercase p = uppercase a minus (1 r t) uppercase p = uppercase a (1 r t)
The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.
The simple interest equation that Celo used is A = P(1 + rt).
This is currently used to find the final amount A.
On isolating P to one side of the equation in the following ways:
A = P(1 + rt),
or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.
or, A/(1 + rt) = P {Simplifying}.
or, P = A/(1 + rt) {Changing sides}.
Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
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80
Select the correct answer.
4
What is the solution to the equation?
5√x + 7 = -2
OA -39
OB. -17
OC 25
OD. no solution
Answer:
38 is the correct solution
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend?
Ju Chan answered the question by writing the following:
4(−15) meters = −60 meters.
Which word in the problem indicates that a negative number should be used?
The word in the problem that indicates that a negative sign should be used is "descend"
How many meters did he descend?We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4*(-15)m = -60m
Why the negative sign is used?
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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Shelby bought 2 cans of paint and 3/4 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
Figure 1 is similar to figure 2. What is the height of figure 1?
8 units
1 unit
2 units
4 units
The height of figure 1 that is similar to figure 2 is: D. 4 units.
What are Similar Figures?The corresponding linear measurements of similar figures are proportional. Therefore, we would have:
4x/2x = x + 1/x
Solve for x
2 = x + 1/x
2x = x + 1
2x - x = 1
x = 1
Height of figure 1 = 4x = 4(1) = 4 units.
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Two measures of two supplementary angles are in the ratio of 2.3 find the measurments of the two angles.
Answer:
The angles are 72° and 108°
Step-by-step explanation:
Supplementary angles add up to 180°
Ratio of supplementary angles = 2 : 3
The angles are 2x , 3x
2x + 3x = 180
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2*36 = 72°
3x = 3*36 = 108°
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?
If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The value of sine of θ is 21/29.
Then the value of θ will be
sin θ = 21/29
θ = sin⁻¹(21 / 29)
θ = 46.4°
Then the value of the cosine of θ will be
cos θ = cos 46.4°
cos θ = 20/29
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Which is a true statement about an exterior angle of a triangle
Answer:
would love to help but what are the statements?
Think About a Plan Write an indirect proof.
Proof
Given: 41 42
Prove:
p
• What assumption should be the first step of your proof?
. In the figure, what type of angle pair do 21 and 22 form?
1) Either [tex]\ell \parallel p[/tex] or [tex]\ell[/tex] ∦ [tex]p[/tex] (only two possibilities)
2) Assume [tex]\ell \parallel p[/tex] (one of two possibilities)
3) [tex]\angle 1 \cong \angle 2[/tex] (if two parallel lines are cut by a transversal, the corresponding angles are congruent)
4) But [tex]\angle 1[/tex] is not congruent to [tex]\angle 2[/tex] (given)
5) So [tex]\ell[/tex] ∦ [tex]p[/tex] (only other possibility)
Christy buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 7 sugar
cookies and 4 oatmeal cookies. what is the probability that christy randomly selects an oatmeal cookie
from the bag, eats it, then randomly selects a chocolate chip cookie? express you answer as a reduced
fraction.
Answer:
[tex] \frac{2}{33} [/tex]
Step-by-step explanation:
There are 22 cookies in all.
The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.
(-7)(-7)(3) integer operations
Answer:
-×-=+
49×3
147
Step-by-step explanation:
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Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is
°.
The measure of angle BAC is
°.
The measure of angle ACB is
°.
The measure of angle ∠ACB is 70°. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
∠ABC + ∠BCA + ∠CAB = 180°
60° + ∠BCA + 50° = 180°
∠BCA = 180° – 110°
∠BCA = 70°
Then the correct option is C.
The complete question is given below.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of ABC is 60
The measure of BAC is 50
The measure of ACB will be
a. 50
b. 60
c. 70
d. 120
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Answer:
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is
✔ 60
°.
The measure of angle BAC is
✔ 50
°.
The measure of angle ACB is
✔ 70
°.
Step-by-step explanation:
Kelsey has $100 in an account the interest-rate is 11% compounded annually to the nearest cent how much will she have in two years
Answer:
$123.21 (nearest cent)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $100r = 11% = 0.11t = 2 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=100\left(1+0.11\right)^{2}[/tex]
[tex]\implies \sf A=100\left(1.11\right)^{2}[/tex]
[tex]\implies \sf A=123.21[/tex]
Therefore, the value of the account in 2 years will be $123.21 (nearest cent).
what is the polar form of -3+ v3i?
So
[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]
[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]
Find theta
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]
Polar form
[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]
A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)
What is the area of the resulting two-dimensional cross-section?
2 m²
3 m²
9 m²
12 m²
That shaded region area we need
length=2mBreadth=1mArea
Length×Breadth2(1)2m²An ice cube is freezing in such a way that the side length s, in inches, is s(t)=1/2t+4, where it is in hours. The surface area of the ice cube is the function A(s) = 6s²_
Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points)
Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points)
Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations. (4 points)
Help Please!!
The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
Part A: The equation that gives the volume at t hours after freezing begins will be
V = s³
V = [(1/2)t + 4]³
Part B: The surface area as a function of time, using composition, and determine its range will be
A(s) = 6(1/2 t + 4)²
A(s) = 6 (t²/4 + 4t + 16)
A(s) = 3/2 t² + 24t + 96
Part C: The number of hours when the surface area equal 294 square inches will be
294 = 6(1/2 t + 4)²
49 = (1/2 t + 4)²
7 = 1/2 t + 4
1/2 t = 3
t = 3 1/2 hours
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what is the simiplyfly for this -8(-3)
Answer:
24
Step-by-step explanation:
when you open up the parenthesis, you get -8x-3 which is 24.
negative x negative = positive
Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12
Answer: y = 2x - 6
Step-by-step explanation:
Let us turn the second given equation into slope-intercept form to match the first equation.
8x - 4y = 12
8x - 12 = 4y
4y = 8x - 12
y = 2x - 3
Now, parallel lines have the same slope. This is the m value.
y = 2x - 3
\/
y = mx - 6
y = 2x - 6
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Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.
(a) The average velocity of 25 taxies is 40 km/hr and the average velocity of 35 trucks is 30 km/hr. Find the combined average velocity of both types of vehicles. ( a ) The average velocity of 25 taxies is 40 km / hr and the average velocity of 35 trucks is 30 km / hr . Find the combined average velocity of both types of vehicles.
Answer:
10hr/m because the average velocity is divided by number
For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).
f(x)= 12/x, g(x)= -8x ^3
Answer: Domain: (-∞, 0) U (0, ∞)
Step-by-step explanation:
[tex]\frac{12}{x} *-8x^{3}[/tex]
[tex]=-96x^2[/tex]
Domain: (-∞, 0) U (0, ∞)
An archaeologist in turkey discovers a spear head that contains 32% of its original amount of c-14
Answer:
that means that the new ones contains c-14*32/100
Hope This Helps!!!
Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.
That is a lot of passwords! How many passwords would the website have if users were allowed to
reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks
below. Let the first six spaces represent letters and the last two spaces represent numbers)
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
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What’s the value of x?
Answer:
the value of x is 115
Step-by-step explanation:
hope I helped
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Given the following formula, solve for a.
Answer:
A
Step-by-step explanation:multiply both sides by two, then subtract b and c from both sides to get a on the right side by itself
Answer:
О A a = 2s - b - c
Step-by-step explanation:
S = (a+b+c)/2
2s = a + b +c
2s - b - c = a
Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?
Answer:
y = 1/2 x - 4
Step-by-step explanation:
point slope form would be
( y - - 3) = 1/2 (x-2) you can re-arrange as
y = 1/2x -4
Write the relation as a set of ordered pairs. a. ordered pairs: {(–3, 3), (0, 0), (2, –2)} b. ordered pairs: {(3, –3), (0, 0), (–2, 2)} c. ordered pairs: {(3, –3), (0, 0), (2, d. ordered pairs: {(–2, 2), (0, 0), (3, –3)}
The relation written as a set of ordered pair is given as: : {(–2, 2), (0, 0), (3, –3)}. (Option D)
What is an ordered pair?An ordered pair is a in math is one that comprises coordinates of one point in the coordinate system where the first is the x coordinate and the other is representative of the y coordinate.
Thus the correct ordered pair is option D. See the graph attached.
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what two numbers mutiples by -36 and adds to 5
Answer:
+ 9 and - 4
Step-by-step explanation:
9 × - 4 = - 36
9 + (- 4) = 9 - 4 = 5
Answer:
The two numbers are :
9 and -4
9 x -4 = -36
9 + (-4) = 5
Step-by-step explanation:
Hope It Helps!!!
