Answer:
50 children can go to the park before they run out of balloons.
Step-by-step explanation:
If each child gets 3 balloons each, there will be 50 kids who can go in the park before they run out of balloons. 150 (balloons given out in total) / 3 (number of balloons each child receives) = 50 (number of children who can go into the park before balloons run out.)
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the graph of f(x) shown below resembles the graph of g(x)=x^2 but it has been changed somewhat which of the following could be the equation of f(x)
Answer:
f(x)=2x^2+3
Step-by-step explanation:
If you see the f(x), you can see that it is squished by a factor of 2, and it is translated upwards 3 units. that means that the final equation is f(x)=2x^2+3, which is B
The Equation of red parabola is y = 2x² + 3.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have a function,
g(x) = x²
It is a parabola with vertex at (0,0) and the sign is positive then the parabola opens up.
Then, General equation of parabola is
y= a(x - h)² + k
As, the The graph of F(x) opens up that is why it will have positive x²
and vertex at (0, 3)
So, the equation of parabola
y= 2(x - 0)² + 3
y = 2x + 3
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What two-dimensional shape is formed by the cross section below?
Answer:
B. Circle
Step-by-step explanation:
-6x + 7y = 9
2x - 2y = 4
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A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Answer: 2.81 s
Step-by-step explanation:
Given
Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]
Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]
Derivative of a function gives the maxima or minima at certain point
[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]
Thus, it takes ball 2.81 s to reach the top.
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Answer:
.5 or (1/2)
.5 or (1/2)
2.5 or (5/2)
Step-by-step explanation:
all you really have to do is mulitply the numbers by .5
1*.5= .5
5*.5= 2.5
Use the data set and line plot below. Jerome studied the feather lengths of some adult fox sparrows. How long are the longest feathers in the data set
Answer:
[tex]Longest = 2\frac{3}{4}\ in[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
The longest feather
To solve this, we simply identify the highest dataset represented on the line plot.
From the attached plot, we have:
[tex]Shortest = \frac{3}{4}[/tex]
and
[tex]Longest = 2\frac{3}{4}\ in[/tex]
Hence, the longest is: [tex]2\frac{3}{4}\ in[/tex]
4 people are going to a dinner party. Each person at the party will eat 2/3 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?
The volume of the box is 10{,}00010,00010, comma, 000 cm^3 3 cubed. The base of the box is 252525 cm by 101010 cm. How tall is the box of cereal?
Answer:
40 cm
Step-by-step explanation:
volume = length x width x height
10,000 = 25 x 10 x h
h = 10,000/ (25 x 10)
h = 10,000 / 250
h = 40 cm
La sombra de un árbol cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. ¿Cuál es la altura del árbol?
Answer:
La altura del árbol es 8 metros.
Step-by-step explanation:
La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.
La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).
La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.
[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]
En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:
[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]
Resolviendo:
cateto adyacente= tan(36)*11
cateto adyacente= 7.99 metros ≅ 8 metros
La altura del árbol es 8 metros.
Which of the following is the quotient of the rational expressions shown here?
5/x-2 divided by x/x+1
A.
5x/x² - x-2
B.
x + 6/2x-2
C.
5x +5/x² - 2x
Answer:
5x+5
______
x^2-2x this the correct one
If 4 US dollars can be exchanged for 1.75 Euros. How many Euros can be obtained for 144 US dollars?
Answer:
63 euros.
Step-by-step explanation:
4 dollars = 1.75 euros
1 dollar = 1.75 / 4 euros, so
144 dollars = (1.75/4) * 144
= 63 euros.
What are factors of -12 that have a sum of +1?
Profit and Loss question class -9
Answer:
Rs 2.25
Step-by-step explanation:
S.P. = 375 * 3.36 = 1260
C.P. = 1125. for 500 mangoes
So for 1 mango,
C.P. = Rs 2.25
Answer:
₹2.25
Step-by-step explanation:
Selling price of 1 mango = ₹3.36
Mangoes in good state = 500 - 125 = 375
Selling price of 375 mangoes = 3.36 *375 = ₹ 1260
Cost price = [tex]\frac{100}{100+profit}*SP[/tex]
[tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]
Cost price of 500 mangoes = ₹ 1125
CP of 1 mango = 1125/500 = ₹2.25
A principal of $2700 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
$
Answer:
$5938
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 2700
r = 6.25% = 0.0625
n = 1
t = 13
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{1 \cdot 13}[/tex][Exponents] Multiply: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{13}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 2700(1 + 0.0625)^{13}[/tex](Parenthesis) Add: [tex]\displaystyle A = 2700(1.0625)^{13}[/tex]Evaluate exponents: [tex]\displaystyle A = 2700(2.19926)[/tex]Multiply: [tex]\displaystyle A = 5938[/tex]Find the percent of increase from 380 to 510. Round to the nearest tenth of a percent, if
necessary.
Answer:
510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316
rounding to the tenth we get 134.2
Please help it’s urgent
Answer:
[tex]33+4i[/tex]
*None of the answer choices are correct. It's most plausible that your teacher forgot to regard [tex]i=\sqrt{-1}[/tex] and got [tex]\text{d. }9+4i[/tex]. I'd recommend choosing this answer and talking about it with your teacher later.
Step-by-step explanation:
Recall that [tex]i=\sqrt{-1}[/tex].
Solving, we get:
[tex](3-2i)(7+6i),\\21-14i+18i-12(-1),\\21-14i+18i+12,\\\boxed{33+4i}[/tex]
how can you evaluate 36^1/2
Answer:
6
Step-by-step explanation:
======================================================
Explanation:
Exponents of 1/2 are the same as square roots
[tex]36^{1/2} = \sqrt{36} = 6[/tex]
If the exponent was say 1/3, then we'd be taking a cube root
[tex]36^{1/3} = \sqrt[3]{36}[/tex]
and this is what a fourth root would look like
[tex]36^{1/4} = \sqrt[4]{36}[/tex]
and so on
how do i find all the missing angles, a b c d e I HAVE TO TURN IT IN SOON AA
Step-by-step explanation:
for a
a+,38°=90°{ angle at circumference through center is 90°}a=90-38a=52°for e
e=38°{base angle of isosceles triangle r equal}for d
38°+e+d=180°{sum of angle of triangle}d=180-76d=104°for. c
c+d=180°{straight angle}c=180-104°c=76°for b
a+b+c=180°{sum of angle of triangle}b=180-128b=52°hope it helps.
stay safe healthy and happy.Question
In order to save for a new car, Charles adds money each month to a savings account which earns interest that is compounded monthly. Charles has created the expression 400((1+0.0212)12⋅3−10.0212) to calculate how much money he will have in his savings account when he is ready to purchase the car.
What do the values 400, 0.02, 12, and 3 represent in the expression?
Answer:
Step-by-step explanation:
A line that includes the points (-9, 6) and (-3, s) has a slope of -1. What is the value of s?
Answer:
s=0
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1) / x2-x1)
-1 = (s-6)/(-3 - -9)
-1 = (s-6)/(-3 +9)
-1 = (s-6)/(6)
Multiply each side by 6
6*-1 = s-6
-6 = s-6
Add 6 to each side
-6+6 = s-6+6
s=0
Answer:
[tex] \large\sf \: s = 0[/tex]
Value of s is 0.
Step-by-step explanation:
Here,
A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.
Using slope formula
m = ( y ² - y ¹ ) / ( x ² - x ¹)
Where,
m , is the slope which is -1( y ² - y ¹ ) = ( s - 6 )( x ² - x ¹) = ( - 3 - ( - 9 ) )substitute the values into the formula
-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )
-1 = ( s - 6 ) / ( - 3 + 9 )
- 1 = ( s - 6 ) / ( 6 )
multiply each side by 2
- 1 × 6 = s - 6 × 6 / 6
- 6 = s - 6
- 6 + 6 = s - 6 + 6 ..( add 6 to each side)
0 = s
Arlen is planning a dinner party at which he will be able to accommodate seven guests. From past experience, he knows that each person invited to the party will accept his invitation with probability 0.5. He also knows that each person who accepts will actually attend with probability 0.8. Suppose that Arlen invites twelve people. Assuming that they behave independently of one another, what is the probability that he will end up with more guests than he can accommodate
Answer:
"0.057309921" is the correct answer.
Step-by-step explanation:
According to the question,
The coming probability will be:
= [tex]0.5\times 0.8[/tex]
= [tex]0.4[/tex]
n = 12
p = 0.4
Now,
⇒ [tex]P(X>7)=1-P(X<=7)[/tex]
Here, X = Number of guests
[tex]=1-binom.dist(7,12,0.4,1)[/tex]
[tex]=0.057309921[/tex]
Thus, the above is the correct answer.
an athlete jumps these 4 distances in a long jump competition. which jump does NOT round to 4.7 meters?
Answer:
3rd jump: 4.642 rounds down to 4.6
Find the value of 1×4+2×5+3×6......n×（n+3）
Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
Is the percent increase from 50 to 70 equal to thhe percent decease from 70 to 50
Answer:
No
Step-by-step explanation:
The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Answer:
Step-by-step explanation:
Though the difference is the same, the original value is different. Therefore they are not the same.
Percentage increase from 50 to 70
[tex]=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%[/tex]
Percentage decrease from 70 to 50
[tex]= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%[/tex]
A DJ charges $175 and $35 an hour, h, for parties. Which equation shows the total cost, C, for hiring the DJ? A. C = 175h + 35 B. C = 35h + 175 C. C = (175 + 35)h D. C = 175 + 35 + h
Answer:
-98 x (175-34)
Step-by-step explanation:
the product of two consecutive positive odd integers is 2499 find the bigger integer
Step-by-step explanation:
Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.
Now, Product of two consecutive positive odd integers = 2499
=>n*(n+2) = 2499
=>n^2+2^n-2499=0
=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0
=>(n+51)(n-49)=0
=>n=49 (n is not equal to -51 which is negative integer).
So,bigger integer =(n+2)=49+2=51.
a grocer stacks oranges in a four-sided pyramid that is 7 layers high. How many oranges are in the pile?
The explicit formula for a pyramidal sequence is P(n)=n(n+1)(2n+1)/6
Answer: 140
Hope this helped
There are 140 oranges in the pile.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A grocer stacks oranges in a four-sided pyramid that is 7 layers high.
And, The explicit formula for a pyramidal sequence is,
⇒ P(n)=n(n+1)(2n+1)/6
Hence, Number of oranges in the pile are,
P(7) = 7*(7 + 1)(2 x 7 + 1)/6
P(7) = 7 x 8 x 15 / 6
P(7) = 7 x 4 x 5
P(7) = 140
Thus, There are 140 oranges in the pile.
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Determine the range for the function y = (x - 3 )^2 + 4.
Answer:
Solutions are x=2 and x=−2 . At these points the function has vertical asymptotes. To address the range, let's first transform...If this sun is 66° above the horizon, find the length of the shadow cast by a building 61 feet tall. Round your answer to the nearest tenth.
Answer:
27.2 ft
Step-by-step explanation:
We solve using the Trigonometric function of tan
tan θ = Opposite/Adjacent
θ = 66°
Opposite = Height of the building = 61 ft
Adjacent = Length of the shadow = ? = x
tan 66 = 61/x
Cross Multiply
tan 66 × x = 61
x = 61 ft/tan 66
x = 27.158949804 ft
Approximately = 27.2 ft
The length of the shadow = 27.2 ft
There are 4 students in a small class. To make a team, the names of 3 of them will be drawn from a hat. How many different teams of 3 students are possible?
Answer:
Step-by-step explanation:
Order shouldn't make any difference.
3 C 4 = 4!/(3! 1!) = 4
Let's see if that is right.
1 2 3
1 2 4
1 3 4
2 3 4
Any other combination will produce a duplicate if order doesn't matter. For example
2 4 3 is the same thing as 2 3 4
