9514 1404 393
Answer:
300 blocks
Step-by-step explanation:
The number of blocks is ...
(600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks
The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds is represented by the equation h(t) = -16t2 - 3t + 55. Find the time it takes the float to reach the swimmer.
Answer:
1.95secs
Step-by-step explanation:
Given the height of the float expressed as h(t) = -16t2 - 3t + 55.
The floats reach the swimmer at h(t) = 0
Substitute
0 = -16t^2 - 3t + 55.
16t^2 + 3t - 55 = 0
Using the general formula;
t = -3±√3²-4(16)(-55)/2(16)
t = 3±√9+3520/32
t = 3±√3529/32
t = 3+59.41/32
t = 62.41/32
t = 1.95
Hence it will take 1.95secs
What is the answer to the math question attached
Answer:
OK so this may or may not help u ...
this can be taken as the straight line with equation
y = mx + c
here f(x) is taken to be y
the attached pic is the graph of this function
so I think the value of x before it explodes would be 18.875
as in 18.875 seconds the rocket has reached its maximum height ( from 0 to 302)and x represents the time
the time before it explodes = 18.875and f(x) represents height so we see that the highest possible value of f(x) from the graph is 302
the height at which it explodes would be = 302what question is being asked ?
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
[tex]W = \sqrt{16} [/tex]
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.
Returns on stock X are listed below: Period 1 2 3 4 5 6 7 Stock X 6% 5% -2% 10% 3% 8% -4% What is the mean of the data?
Answer:
The mean of the data is of 3.7143%.
Step-by-step explanation:
Mean of the data:
Sum of all returns divided by the number of returns.
Returns:
6% 5% -2% 10% 3% 8% -4%
7 returns.
Sum: 6 + 5 - 2 + 10 + 3 + 8 - 4 = 26%
Mean: 26%/7 = 3.7143%
The mean of the data is of 3.7143%.
What percent of 8 is 6? pls give a detailed explanation thanks
Answer:
x/100 x 8 = 6
8x/100 = 6
x100 x100
8x = 600
Divide by 8 on both sides:
X = 75
Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.
(unknown number/percent)x/100 x 8(of 8) = 6(is 6)
I need help with this!!!!!
Answer:
48
Step-by-step explanation:
Which statements are true about ABCD? Select all that apply.
y=x^2+8x+10
what does X=
For this problem you will need to use the quadratic formula. [tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] (the + and - are together. basically the plus is on top and the minus is on bottom. you should have seen it in your notes hopefully). a = 1, b = 8, and c = 10. from there you just plug everything in and solve.
To determine which window cleaner is most effective, Thad washes half of the windows in his house with one brand and the other half with a different brand. He then compares the results to draw a conclusion about which cleaner is most effective.
What kind of statistical study did Thad conduct?
A.
survey
B.
observational study
C.
theoretical study
D.
experiment
Answer:
the answer for the question is D,experiment
The kind of statistical study that Thad Conducted is called; Experiment
How to Identify Statistical Study?We ae told that we want to determine the cleaner that has the best effectiveness.
Now, since he compares the result of washing with let's say brand A to the result of washing with maybe brand B, then we can say that it is called an experiment due to the fact that it involves the procedure used to determine the efficacy or likelihood of something.
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a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
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pls help i need help
Answer:
Put x's on the numbers on the line that are above the line
Step-by-step explanation:
I BELIVE IN YOU
A) En cada caja hay 5 caramelos. Si tengo 8 cajas ¿cuántos caramelos tengo? b) Romina tiene 9 pelotas y Lidia 4 veces más que ella. ¿Cuántas pelotas tiene Lidia?
Answer:
a) 40 caramelos
b) 13 bolas
Step-by-step explanation:
A) En cada caja hay 5 caramelos. Si tengo 8 cajas, ¿cuántos caramelos tengo?
1 caja = 5 caramelos
8 cajas = x
Multiplicar cruzada
x × 1 caja = 8 cajas × 5 caramelos
x = 8 cajas × 5 caramelos / 1 caja
x = 40 caramelos
b) Romina tiene 9 bolas y Lidia 4 veces más que ella. ¿Cuántas bolas tiene Lidia?
Romina = 9 bolas
Lidia = 4 bolas más que ella
Lidia = 9 bolas + 4 bolas
= 13 bolas
Jean took out a 5- year car loan of Rs 600 000.
He paid back a total of Rs 840 000.
What simple interest rate did he pay for this load?
interest= 840000-600000= 240000
P= 600000
R=?
t= 5 yrs
I = prt
240000 = 600000 × r × 5
r= 240000/600000×5
r = 0.08
interest rate = 0.08× 100 = 8%
Selton e Danton São irmãos e trabalham juntos, vendendo instrumentos musicais. Selton vendeu um total de 62 instrumentos este mês. Já Danton vendeu o quintuplobdoque o irmão vendeu., quantos instrumentos musicais Danton vendeu? Cálculo: Resposta:
Answer:
Danton vendeu 310 instrumentos musicais.
Step-by-step explanation:
Selton vendeu 62 instrumentos esse mês.
Danton:
Quintuplo do que seu irmão Selton, ou seja:
62*5 = 310.
Danton vendeu 310 instrumentos musicais.
Write the fraction as a decimal and a percent. 13/9
Answer:
Decimal form = 1.44
Fraction form = 144/100
Hope this helps!
PLSSS HELP ASAP I NEED HELP
Find the volume and surface area of a sphere with a radius of 6cm.
Find the distance from point A(2,-1) to the line y=-x+4
9514 1404 393
Answer:
(3/2)√2 ≈ 2.1213 units
Step-by-step explanation:
The distance d from point (x, y) to line ax+by+c = 0 is given by ...
d = |ax +by +c|/√(a^2 +b^2)
We can write the equation of the line as ...
x + y -4 = 0
so the distance is ...
d = |x + y - 4|/√(1^2 +1^2)
For point (x, y) = (2, -1), the distance is ...
d = |2 +(-1) -4|/√2 = 3/√2 = (3√2)/2
The distance from A(2, -1) to the line y = -x +4 is (3√2)/2 units.
Which expression is equivalent to (2x+3)(3x2−2x+5)?
Answer:
See the steps below:)
Step-by-step explanation:
Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.
What are equivalent expressions ?An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.
Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.
According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).
(2x+3)(3x²-2x+5)
= (2x+3)(3x²-2x+5)
=2x(3x²-2x+5)+3(3x²-2x+5) (now we will distribute)
=6x³-4x²+10x+9x²-6x+15
=6x³+5x²+4x+15.
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Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.
Answer:
The area of the pentagon is approximately 21 square units
Step-by-step explanation:
The radius of the circle in which the regular pentagon is inscribed, r = 3
The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;
A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)
Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈ 21
The area of the pentagon, A ≈ 21 square units.
What is
[tex] {5}^{7} [/tex]
Answer:
78,125
Step-by-step explanation:
5 × 5 × 5 × 5 × 5 × 5 × 5 = 78125
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Have a good day :)
ASAP
-WILL MARK BRIANIST
Answer:
25 + x = y
Step-by-step explanation:
Answer:
25+x=y
Step-by-step explanation:
25 plus the birthday cards(x)= total cards(y)
PLEASE HELP ITS DUE SOON!!!!
Answer:
x=4
Step-by-step explanation:
4x+7=23
4x=23-7
4x=16
x=16÷4
x=4
Answer:
4
Step-by-step explanation:
4 x 4 + 7 = 23
please help! answer and step by step explanation needed
Answer:
Step-by-step explanation:
Due to the equation [tex]y = mx+c[/tex],
y = y
mx = [tex]\frac{2}{5}x[/tex]
c = -7
Hence, from 'mx',
m = 2/5
Hence, the slope is 2/5
Feel free to mark it as brainliest :D
Answer:
slope is
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
from the linear equation we consider the Cof of x is slope Y = a x ± b a is slope and b is intercept - y then 2/5 is slope and -7 is interceptThe graph of quadratic function is shown on the grid.
Which of these best represents the domain of f?
A.
[tex]y \geqslant 5.5[/tex]
B.
All real numbers
C.
All real numbers less than -3 or greater than 2
D.
[tex] - 3 \leqslant x \leqslant 2[/tex]
I need the answer nowwwwww right nowwwwww
Answer:
160 cm i think
Step-by-step explanation:
A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?
Answer:
[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]
What is the area of a square if the base is 4.25ft and the height is 4.25 ft?
Answer:
18.0625 ft²
Step-by-step explanation:
4.25 × 4.25
18.0625 ft²
4. Explain what an imaginary number is and its relationship to complex numbers. Then give
an example of where complex numbers occur naturally in mathematics.
Answer:
564643
Step-by-step explanation:
Answer:
In the real number system, there is no solution to the equation x^2=-1x
2
=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.
The backbone of this new number system is the number iii, also known as the imaginary unit.
i^2=-1i
2
=−1i, squared, equals, minus, 1
\sqrt{-1}=i
−1
=isquare root of, minus, 1, end square root, equals, i
By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i
5
i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.
However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−
2
i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.
Defining complex numbers
A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.
\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}
a
↑
Real
part
+
bi
↑i
Imaginary
part
\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.
The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.
Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts
7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.
4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd
9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd
-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd
Step-by-step explanation:
plz brian list and allways happy to help.
Please awnser this for brainliest
Answer:
she will pay 25% of the cost
Step-by-step explanation:
Well .35 is 35%
35+40 = 75
100-75 = 25
25%