Step-by-step explanation:
[tex] {b}^{2} + 8b - 6 \\ {5}^{2} - 8 \times 5 - 6 \\ 25 - 40 - 6 \\ = - 21[/tex]
Answer:
59
Step-by-step explanation:
This is a substitution question
So we will have to solve by substituting the given value into the equation
So let's solve
b^2-8b-6
And b is given to be-5
So let's substitute
(-5)^2-8(-5)-6
25+40-6
65-6
59
Therefore the final answer is 59
x^2<64 find solution
Answer:
(-8,8)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!Which graph shows the following system of equations and its solution?
-4x-3y=4
4x-y=-4
Answer:
C, I believe?
Step-by-step explanation:
At a school picnic, students can choose their dessert. The desserts include 8 ice cream sandwiches, 9 chocolate frozen bananas, 12 ice cream cones, 11 frozen pops, 16 push-up sticks, and 14 shaved ice cones. If desserts are chosen at random, what is the probability that the first person in line will choose an ICE CREAM CONE? Please select one answer.
Answer:
6/35
Step-by-step explanation:
8ice cream sandwiches
9 chocolate frosen banana
12 ice cream cones
11 frosen pops
16 push up sticks
14 shaved ice cones
So we will have to sum them up
8+9+12+11+16+14
70
So the probability for ice cream cones
12/70
Divide the two by 2
6/35
So the probability will be 6/35
What’s the answer to this
Answer:
Slope = -2/3 (Answer choice "a.")
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
y = -2/3x +5
This is in the form y = mx+b where m is the slope and b is the y intercept
-2/3 is the slope
The line perpendicular has a negative reciprocal slope or - 1 over the slope
- 1 /(-2/3)
-1 * (-3/2)
3/2
The slope of the line that is perpendicular is 3/2
The quantity R, in grams, of a certain radioactive substance decreases according to the exponential decay model dRdt=−0.05R, where t is measured in seconds. During an experiment, a scientist determines that the rate of decay of a second substance with the quantity S, in grams, can be represented by a linear model dSdt=−4, where t is measured in seconds. If at time t=0, R(0)=100 and S(0)=125, at what time t, in seconds, will there be equal quantities of both substances?
Answer:
24 secondsExplanation:
1. Quantiy R
Decay model:
[tex]\dfrac{dR}{dt}=-0.05R[/tex]
That is a first order reaction, whose solution is:
[tex]R=R_0e^{-0.05t}[/tex]
The value at t = 0, R(0) = 100 is R₀.
Thus, the law is:
[tex]R(t)=100e^{-0.05t}[/tex]
2. Quantity S
Decay model:
[tex]\dfrac{dS}{dt}=-4[/tex]
That is a zero order kinetic, whose solution is:
[tex]S=S_0-4t[/tex]
The value at t = 0, S(0) = 125 is S₀
Thus, the law is:
[tex]S(t)=125-4t[/tex]
3. At what time will there ve equal quantities of both substances?
You must solve the system doing R(t) = S(t)
[tex]100e^{-0.05t}=125-4t[/tex]
That equation must be solved by graphing or by consecutive iterations
Note that when t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.
Subsitute with t = 10.
The left-hand side yields: 61 and the right-hand side yields 85.Then, the time is greater than 10.
Substitute with t = 15
Left-hand side = 47Right-hand side = 65t = 20
Left-hand side = 3745t = 25
Left-hand side = 29Right-hand side =25t = 24
Left-hand side =3 0Right hand side = 29Hence, 24 seconds is a satisfactory solution.
The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.
At t= 24 , in seconds, will there be equal quantities of both substances.
Given that,
The quantity R, in grams, of a certain radioactive substance decreases, according to the exponential decay model dR\dt=−0.05R, Where t is measured in seconds
The rate of decay of a second substance with the quantity S, in grams, can be represented by a linear model dS\dt=−4,
Where t is measured in seconds. If at time t=0, R(0)=100 and S(0)=125.
We have to determine,
At what time t, in seconds, will there be equal quantities of both substances.
According to the question,
Exponential decay model,
[tex]\dfrac{dR}{dt} = 0.05R[/tex]
The solution of first order reaction,
[tex]R = R_o.e^{0.05t}[/tex]
Substitute the value t = 0 ,R(0)= 100,
Then,
[tex]R(t) = 100.e^{0.05t}[/tex]
The decay model,
[tex]\frac{dS}{dt} = -4[/tex]
That is a zero order kinetic, whose solution is:
[tex]S= S_0-4t[/tex]
The value at t = 0, S(0) = 125 is S₀,
Therefore,
[tex]S(t) = 125-4t[/tex]
At what time will there +ve equal quantities of both substances,
Solve the system doing R(t) = S(t),
[tex]100.e^{-0.05t} = 125-4t[/tex]
The equation must be solved by graphing or by consecutive iterations
When t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.
Substitute with t = 10.
The left-hand side yields: 61 and the right-hand side yields 85.
Then, the time is greater than 10.
Substitute with t = 15
Left hand side = 47
Right-hand side = 65
t = 20
Left-hand side = 37
45
t = 25
Left-hand side = 29
Right-hand side =25
t = 24
Left-hand side =3 0
Right hand side = 29
Hence, 24 seconds is a satisfactory solution.
The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.
Hence, At t= 24 , in seconds, will there be equal quantities of both substances.
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help me with the question below
Answer:
122
Step-by-step explanation:
a^2 + b^2 = c^2
(only in right angled triangles)
Answer:
122
Step-by-step explanation:
Simplify [tex]\sqrt{4}[/tex]
_____________
[tex]\sqrt[3]{4}[/tex]
Taking the square root of a number means finding a number that when you square it, it equals the number in the square root.
√4 = 2 because 2² = 4
³√4 is already simplified.
Best of Luck!
Enter the slope-intercept equation of the line that has the same slope as y - 3 = (x + 3) and contains
the point (8,4). Complete the explanation of how you found the equation.
y= ;l used the general form of a line in slope-intercept form, or y=mx+
b w The
slope, m, is .Then, I substituted for x and fory into the standard form and solved
for b, which is
HELLPPP please
Given:
[tex]y-3=\frac{1}{2}(x+3)[/tex]
Point = (8, 4)
To find:
The slope-intercept form of the equation of the line.
Solution:
[tex]$y-3=\frac{1}{2}(x+3)[/tex]
Slope of this line = [tex]\frac{1}{2}[/tex].
Slope of the line is same as the slope of [tex]y-3=\frac{1}{2}(x+3)[/tex].
Slope of the line (m) = [tex]\frac{1}{2}[/tex]
General form of line:
y = mx + b
[tex]y=\frac{1}{2} x+b[/tex] ---------- (1)
It contains the point (8, 4). Substitute x = 8 and y = 4 in (1).
[tex]4=\frac{1}{2}( 8)+b[/tex]
[tex]4=4+b[/tex]
Subtract 4 from both sides, we get
b = 0
Substitute b = 0 in (1).
Equation of the line:
[tex]y=\frac{1}{2} x+0[/tex]
[tex]$y=\frac{1}{2} x[/tex]
Complete the sentence:
[tex]y=\frac{1}{2} x[/tex]; I used the general form of a line in slope-intercept form, y = mx + b. The slope, m is [tex]\frac{1}{2}[/tex]. Then I substituted 8 for x and 4 for y into the standard form and solved for b, which is 0.
Mali performed an experiment with a standard deck of 52 cards. She wanted to see if the face cards (Ace, King, Queen, and Jack) came up the expected number of times when she randomly selected 13 cards from the deck. A 3-column table with 4 rows. Column 1 is labeled Card with entries ace, king, queen, jack. Column 2 is labeled Theoretical (predicted frequency) with entries 1, 1, 1, 1. Column 3 is labeled Experimental (Observed frequency) with entries 0, 1, 1, 0. Mali noticed that the observed frequencies did not match the predicted frequencies. What does she need to change in her experiment to get closer to the predicted values based on the theoretical probability for all the face cards?
Answer:
Increase the number of trials...
Step-by-step explanation:
The number of experiment trials should be increased as to match the predicted frequencies.
What is Probability?Probability is the likeliness of an event to happen.
In probability experiments are performed to determine the probability of a required event.
Mali performed the experiments and found that the observed frequencies did not match the predicted frequencies.
To make the data closer to the predicted values, more number of trials to determine the frequencies should be done.
Your question seems incomplete, the complete question is attached as an image with the answer.
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Given a+b=7 and a–b=3, find:
2^a*2^b
Answer:
128
Step-by-step explanation:
5+2=7
5-2=3
2^5=32
2^2=4
32*4=128
Hope this helps:)
Sixty percent of what number is equal to 45 percent of 80?
Answer:
60
Step-by-step explanation:
60% * x = 45% * 80
Changing to decimal form
.60x = .45 *80
.60x =36
Divide each side by .60
.60x/.60 = 36/.60
x =60
Answer:
60
Step-by-step explanation:
Greatest common factor of x4 and x3
Answer:
x^3 is the greatest common factor of x4 and x3
Step-by-step explanation:
The greatest number that is a factor of two (or more) other numbers. When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Abbreviated "GCF". Also called "Highest Common Factor"
Write a variable expression for 3 times the sum of a number and 5.
A) 5(x + 3)
B) 3x +5
C) 3(x + 5)
D) x + 15
Answer:
B) 3x+5
Step-by-step explanation:
Let's suppose that x is equal to the sum of a number. That means, that 3x needs to be somewhere in the variable equation. "And 5", means to add, so +5 also needs to be somehwere in the equation. Giving you 3x + 5 as the answer. Now you might be thinking, "But what about C? Isn't it basically the same answer as B?" The answer to THAT question is NO. For it to be the same as B, you would have to get rid of the parenthesis. This is because when there's a parenthesis, it means that it is the first thing you have to do in the equation. But that is not what we want. We do not want the sum of a number to be added to 5. We want it to be multiplied by 3. So that is why C is the not the same as B. B is yoir correct answer.
100 points and brainliest, need this quick
pplleeaassee
This sphere has a diameter of 5 m.
A sphere with diameter 5 meters.
What is the volume of the sphere?
V = StartFraction 9 Over 2 EndFraction pim3
V = StartFraction 125 Over 6 Endfraction pim3
V = StartFraction 500 Over 3 EndFraction pim3
V = StartFraction 4,000 Over 3 EndFractionm3
9514 1404 393
Answer:
(b) (125/6)π m³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³ . . . radius r
The radius is half the diameter, so is (5/2) m. Then the volume is ...
V = (4/3)π(5/2 m)³ = (4/3)(125/8)π m³ = (125/6)π m³
I mark brainliest
please help me I suck at math
Answer:
A
Step-by-step explanation:
If you enter the inequality into a graphing calculator and line the points up you will know the correct answer.
Answer:
a
Step-by-step explana
graph a
Simplify the expression:
P +7p + 5p
Oh
Answer:
Option A, 13p
Step-by-step explanation:
Step 1: Simplify
[tex]p + 7p + 5p[/tex]
[tex](p + 7p) + 5p[/tex]
[tex]8p + 5p[/tex]
[tex]13p[/tex]
Answer: Option A, 13p
-5(c-2)=20-5c+10
A. 4 B. Null Set C. 1 D. -1
please help
pleaze plz
Given:
Deposit (P) = £2000
Rate of interest (r) = 3%
Time (t)= 2 years
Number of time interest calculated per year (n) = 1
To find:
Amount in the account after 2 years
Solution:
Compound interest formula:
[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}[/tex]
Substitute the given values.
[tex]$A=2000\left(1+\frac{3\%}{1}\right)^{1\times 2}[/tex]
To convert percentage into fraction divide by 100.
[tex]$A=2000\left(1+\frac{\frac{3}{100} }{1}\right)^{1\times 2}[/tex]
[tex]$A=2000\left(1+\frac{0.03 }{1}\right)^{ 2}[/tex]
[tex]$A=2000\left(1+0.03\right)^{ 2}[/tex]
[tex]$A=2000\left(1.03 }\right)^{ 2}[/tex]
[tex]$A=2121.8[/tex]
Therefore, £2121.8 will be in the account after 2 years.
What is the image of (4,-1) after a reflection over the line y=x
Answer:
(-4,1)
Step-by-step explanation:
(-1,4) is the image of (4,-1) after a reflection over the line y=x
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph
When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their place.
So for the point (4,-1),the reflected image will be (-1,4)
Hence, (-1,4) is the image of (4,-1) after a reflection over the line y=x
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please help me I need hlp
Rewrite the function by completing the square h(x) =4x^2+4x+1
Answer:
4(x + [tex]\frac{1}{2}[/tex] )²
Step-by-step explanation:
Given
h(x) = 4x² + 4x + 1
To complete the square the coefficient of the x² term must be 1
Factor out 4 from 4x² + 4x
h(x) = 4(x² + x) + 1
add/subtract ( half the coefficient of the x- term )² to x² + x
h(x) = 4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1
= 4(x + [tex]\frac{1}{2}[/tex] )² - 1 + 1
= 4(x + [tex]\frac{1}{2}[/tex] )²
Answer:
Step-by-step explanation:
4(x+1/2)^2+0
The first box is 4
The second box is 1/2
the third box is 0
Does it matter when finding if a slope is positive or negative if the line
goes through the origin?
Y=-3x+3
Y=5x+19
Solve this system by substitution
Answer:
x=-2
Step-by-step explanation:
You can substitute the first equation into the second:
-3x+3=5x+19
Add 3x on both sides:
3=8x+19
Subtract 19 on both sides:
-16=8x
Divide 8 on both sides:
x=-2
Answer:
x = -2
y = 9
Step-by-step explanation:
to evaluate this system of equation we would say that
let
Y=-3x+3................................................. equation 1
Y=5x+19................................................... equation2
substitute equation 2 into equation 1
5x + 19 = -3x + 3
collect the like terms together
5x + 3x = 3 -19
8x = -16
divide both sides by the coefficient of x which is 8
8x/8 = -16/8
x = -2
put x = -8 into equation 1
Y=-3x+3................................................. equation 1
y = -3(-2) + 3
y = 6 + 3
y = 9
therefore the value of x and y is -2 and 9 respectively.
What number between 18 and 22 is a prime number?
Answer:
I think
19 has no factors other than 1 and itself
True or False: If your expression contains more than one set of parentheses, you should evaluate all of them
before doing anything else.
B
False
Answer:
You should evaluate whatever is in the parenthesis first.
By standardization of algebra, we can say that the statement is true, you should evaluate the parentheses at the beginning.
In general problems, we usually use parentheses to separate larger problems in smaller ones. The benefit of doing this is that we can tackle these smaller problems one by one instead of a larger problem all at once.
Whit this in mind, when an expression has several sets of parentheses, the first thing that you need to do is simplify them by evaluating them, so yes, the statement is correct.
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Rockin' Reggie's Music Shop sells about 200 guitar picks each week. Reggie orders picks by the gross (144) from a distributor. About how many gross should Reggie order for a three month supply.
Answer:
1872 gross should Reggie order for a three month supply.
Step-by-step explanation:
Given:
200 guitar picks each week.
To Find:
How many gross should be ordered for three months period
Solution:
Now the guitar picks corresponds to the order picks by gross as follows;
given that 200 guitar picks corresponds to 144 gross orders
Now 200 are sold for each weeks i.e 7 days
Now for 3 months there are approximately 13 weeks
so Total sell for 3 months=13*200=2600 guitars
Now The ratio of guitar picks to gross orders is ,
144/200
=1/1.39=0.72
So 2600 guitars corresponds to 2600*(1/1.39)
i.e. 2600/1.39
=1872 Gross orders are required to get three month of supply
q + 15 = 29???? what is it and can u also explain how...?
what is the circumference of a circle when the radius is 7
Answer:
43.98
Step-by-step explanation:
pier2
Select the correct answer.
What is a demand schedule?
A.
a chart that shows the demand for a type of product at various prices
B.
a graph that shows the demand for a product at a single price point
C. a chart that shows the demand for a product at various prices
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19.64851 2 s .f help please
Answer: 20
Step-by-step explanation:
19.64851 to 2s.f
To 2 significant figures
Looking at the digit behind the decimal
It is 6,meaning it is more than 5
So you round up to 1 and add to the digit in front
=20