Answer:
the answer is 40
Step-by-step explanation:
because when you estimate 1 it will give you zero for example from 1234=0 56789 =1 so 1=to zero so the answer is 40
Which of the following equations is the result after the first step in solving 5x – 4 = 15?
A 5x = 19
B x = 2
C 5x = 11
D x – 4 = 3
Answer:
[A} 5x = 19
Step-by-step explanation:
Let's solve to see what the first step in solving the following equations:
5x - 4 = 15
Add 4 to both sides
5x - 4 + 4 = 15 + 4
5x = 19 {First step after solving}
Divide both sides by the same factor
5x/5 = 19/x
x = 3.8
Thus, the answer is [A] 5x = 19
Kavinsky
Answer:
[A] 5x = 19
Step-by-step explanation:
Solving to see first step:
5x - 4 = 15
+4 +4 {15 + 4 = 19}
-------------------------
5x = 19
Divide both sides by 5
5x/5 = 19/5
x = 19/5
x = 3.8
As you can see 5x = 19 is the first step result after solving.
~Lenvy~
Which is an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity?
0.2d14
negative 2 over quantity 9 times d raised to the fourth power end quantity
72 over d raised to the fourteenth power
2 over quantity 9 times d raised to the fourteenth power end quantity
The equivalent expression using laws of exponents gives us; 2 over quantity 9 times d raised to the negative fourteenth power end quantity
How to use laws of exponents?
We want to write an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity. This can be expressed as;
4d⁻⁵/18d⁹
Now, according to laws of exponents, we know that;
x²/x³ = x²⁻³ = x⁻¹
Applying that law to our question gives us;
4d⁻⁵/18d⁹ = (4/18)(d⁻⁵⁻⁹)
= (4/18)(d⁻¹⁴)
Now, the expression 4/18 can be broken down to 2/9. Thus, our final expression is; ²/₉d⁻¹⁴
Writing that in words gives;
2 over quantity 9 times d raised to the negative fourteenth power end quantity
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Answer: 2/9d^14 or 2 over 9 times d to the 14th power
Step-by-step explanation: AFOKE88 gave the same answer. this answer is correct you just have to understand how to write this equation in word form to understand them. they also gave a great explanation for those who need it.
If gas costs $2.14 per gallon, and it takes 21 seconds to pump one gallon of gas, how long will it take to pump $28.36 worth of gas (in seconds)
Answer:
$28.36 ÷ $2.14/gallon
= about 13.25 gallons
13.25 gallons × 21 seconds/gallon
= about 278.3 seconds
Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?
Answer: ruler cost $12
Step-by-step explanation:
step 1
Let cost of ruler be represented as r
and cost of pencil be represented as p
we were given that
4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as
4r + p = 2r+ 4p
and cost of pencil= $8
therefore
sTEP 2--- Solving
4r+ 8 = 2r+ 4 x8
4r+ 8 = 2r+ 32
4r - 2r= 32-8
2r= 24
r= 24/2 = r= $12
PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!
Answer:
10.630146
Step-by-step explanation:
A merchant mixed 8 lb of a cinnamon tea with 6 lb of spice tea. The 14-pound mixture cost $38. A second mixture included 16 lb of the cinnamon tea and 4 lb of the spice tea. The 20-pound mixture cost $52. Find the cost per pound of the cinnamon tea and of the spice tea.
cinnamon ___ dollars per pound
spice ____ dollars per pound
The cost per pound of the cinnamon tea and of the spice tea would be = cinnamon $31.76 dollars per pound
spice $58.24 dollars per pound.
How to calculate the cost of the two different teas?For the first mixture ;The volume of the cinnamon tea = 8 Ib
The volume of the spice tea = 6 Ib
The total volume of mixture = 14 Ib
For the second mixture:The volume of the cinnamon tea = 4 Ib
The volume of the spice tea = 16 Ib
The total volume of mixture = 14 Ib
Add the both constitutes of the mixture;
Total volume of cinnamon tea in both mixture = 8+4 = 12 Ib.
Total volume of spice tea in both mixture = 6+16 = 22 Ib
Total weight of the both mixture = 12+22 = 34 Ib
Total price for both mixture = 38+52 = $90
The cost of cinnamon alone;
= 12/34 × 90/1
= 1080/34
= $31.76
The cost of spice tea = 90- 31.76 = $58.24.
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On a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded.
Which equation represents an inequality in the system of inequalities shown in the graph?
Which point is a solution to the system?
#1
(-1,0)(0,2)Slope:-
m=2/0+1=2/1=2Equation in point slope form
y=2(x+1)y=2x+2Shading done to right means towards origin
2(0)+2=2>0So
shading is towards origin
The inequality is
y<2x+2Dashed line given so we remain it <
#2
(0,-1)(1,1)Slope:-
m=1+1/1=2Equation in point slope form
y+1=2xy=2x-1Put (0,0)
2(0)-1=-1<0The inequality is(solid line given)
y≥2x-1Graph attached
Answer:
c and b was right for me
Step-by-step explanation:
to find the region s in the uv-plane which corresponds to r, we find the corresponding boundaries. the line though (0, 0) and (8, 1) is y
The line through the points (0, 0) and (8, 1) is y = x/8 .
How do slope and an example work?
The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b.
M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0, respectively.
In the question ,
it is given that ,
we have to fin the equation of the line that passes through the points (0, 0) and (8, 1) .
we know that the equation of the line in slope intercept form is written as
y = mx c , where m is slope of line .
and m(slope) between the points (a,b) and (c,d) can be found using the formula ,
slope = (d - b)/(c -a)
Substituting the values in the formula ,
we get ,
slope = (1-0)/(8-0)
= 1/8
The equation of the line passing through the points (0,0) with slope as 1/6 is
0 = (1/8)(0) + c
c = 0 ,
we get , y = (1/8)x + 0
y = x/8
Therefore , the line is y = x/8
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Factor -6m + 9.
-6(m - 3)
-6(m + 9)
-3(2m + 3)
-3(2m - 3)
Answer:
-3(2m - 3)
Step-by-step explanation:
Find GCF
-3 so -6m/-3 = 2m
9/-3 = -3
-3(2m-3)
Whats 1+1. show your work. I mean a lot of work
Answer:
2
Step-by-step explanation:
1+1
2
2 ones equals 2 in total.
You can also use a calculator to input:
1
+
1
press equal
and it should give you 2.
Hope this helps :)
What is the y-intercept of the function, represented by the table of
values below?
X
-2
1
2
4
7
A. 2
B. 4
C. 8
D. 6
y
16
4
0
-8
-20
SUBMIT
The y-intercept of the linear equation represented by the table is 8, so the correct option is C.
How to find the y-intercept of the function?Here we have a function represented by the table:
x y
-2 16
1 4
2 0
4 -8
7 -20
This seems to be a linear function, such that each time we increase the value of x by one unit, the value of y decreases by 4.
Then the equation is something like:
y = -4x + b
b is the y-intercept.
We can replace the values of a known point like (2, 0) to get:
0 = -4*2 + b
0 = -8 + b
8 = b
Then the line is:
y = -4x + 8
The y-intercept is 8, the correct option is C.
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A garden is going to be built in the city park in the shape of a parallelogram, with a rectangular walkway
running through it. The garden region is shown in the following figure. Find the area of the garden region by
finding the areas of the individual shapes shown in the figure.
78 ft
72 ft
30 ft
20 ft
Answer
Answer:
7,456 im only 9 but i think it's right.
Step-by-step explanation:
Answer: The answer is 7,456!
Step-by-step explanation: 78 x 78 + 30 x 30 + 20 times 20 + 72 equals to 7456!
Find all solutions of the following equation in the interval [0, 2pi).2cos^2 x = 2- sin
Step 1: problem
\(2\cos ^2x\text{ = 2 - sinx}\)Step 2: Concept
\(\text{cos}^2x=1-sin^2x\)Step 3: Method
\(\begin{gathered} 2\cos ^2x\text{ = 2 - sinx} \\ 2(1-sin^2x)\text{ = 2 - sinx} \\ 2-2sin^2x\text{ = 2 - sinx} \\ 2-2=2sin^2x\text{ - sinx} \\ 2\sin ^2x\text{ - sinx = 0} \\ \sin x\text{ (2sinx - 1 ) = 0} \end{gathered}\)\(\begin{gathered} \sin x\text{ = 0 or 2sinx - 1 = 0} \\ x\text{ = }\sin ^{-1}0\text{ or 2sinx = 1} \\ \text{ x = 0 or sinx = }\frac{1}{2} \\ \text{ x = }\sin ^{-1}(\frac{1}{2})\text{ = 30} \end{gathered}\)\(x\text{ = 0, }\pi,\text{ }\frac{\pi}{6},\text{ }\frac{5\pi}{6}\)Final answer
in a distribution, a random variable can take any value in a specified range. group of answer choices discrete probability cumulative relative frequency continuous probability
In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)
A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.
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If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).
Answer:
218
Step-by-step explanation:
Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,
f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8
f(3) = 5(8) + 3 = 40 + 3 = 43
f(4) = 5(43) + 3 = 215 + 3 = 218
Solve the following differential equations with Laplace transform method to find dy (t) / d(t). + 5y(t) = 2, y(0) = 2
Using the properties of the inverse Laplace transform, we get: y(t)=52L−1{s1}−52L−1{s+51}+L−1
The given differential equation is:
dtdy(t)+5y(t)=2
with the initial condition y(0)=2.
Taking the Laplace transform of both sides of the differential equation, we get:
sY(s)−y(0)+5Y(s)=s2
where Y(s) is the Laplace transform of y(t). Substituting the initial condition y(0)=2, we get:
(s+5)Y(s)−2=s2
Solving for Y(s), we get:
Y(s)=s(s+5)2+s+52
Taking the inverse Laplace transform of Y(s), we get:
y(t)=L−1{s(s+5)2}+L−1{s+52}
Using partial fraction decomposition, we can write:
s(s+5)2=sA+s+5B
Multiplying both sides by s(s+5) and solving for A and B, we get:
A=s→0lims+52=52
B=s→−5lims2=−52
Hence,
y(t)=L−1{5s2}−L−1{5(s+5)2}+L−1{s+52}
Using the properties of the inverse Laplace transform, we get:
y(t)=52L−1{s1}−52L−1{s+51}+L−1
Using the properties of the inverse Laplace transform, we get: y(t)=52L−1{s1}−52L−1{s+51}+L−1
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I need help with this!
Use your formula 1/2(a+b)h, to determine the height of a trapezoid with an area of 24 cubic centimeters and base lengths of 9 cm and 7 cm.
Answer:
H (Height) = 3
Step-by-step explanation:
We have the formula A = 1/2(a+b)h
Let's identify all variables
A = 24
a = 9
b = 7
h = ?
Lets plug all that in:
24 = 1/2(9+7)h
9+7 = 16
24 = 1/2(16)h
Half of 16 is 8 so to simplify the rest...
24 = 8h
To get h alone we will divide both sides of the equation by 8
24/8 = h
24/8 = 3
Making H = 3
only the first question on the page. i don’t understand the math
Answer:
measyre 3 = 33°
Step-by-step explanation:
complementary angles are two angles whose sum is 90°
supplementary angles are two angles whose sum is 180°
I’ve attached my work!
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you got this !
Angles C and D are complementary. The ratio of the measure of Angle C to the measure of Angle D is 2:3. Find the measure of each angle. Explain or show your reasoning.
By using the ratio, we will see that angle C measures 36° and angle D measures 54°.
How to find the measure of the angles?First, two angles are complementary if the sum of their measures gives 90°.
So we have:
C + D = 90°.
Also, we know that the ratio of C to D is 2:3
This means that we can divide the 90° in 5 parts (3 + 2 = 5) such that 2 of these parts are angle C, and the remaining 3 are angle D.
90°/5 = 18°
C = 2*18° = 36°
D = 3*18° = 54°
These are the measures of the angles.
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the maximum weight, w, that a stepladder can hold is 250 pounds. which inequality represents this situation?
w ≤ 250
This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.
The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.
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A store offers a discount of 10% to customers who spend more than $20.00. If a customer’s bill is $80.00, how much will he actually pay?
Answer:
Step-by-step explanation:
Answer:
$72.00
Step-by-step explanation:
Amount of discounted money
= 10/100 x $80.00
= $8
Amount he will pay
= $80.00 - $8.00
= $72.00
Find compound interest on 15,625 at 4% for 3 years.
Help! With steps
Answer:
P=15,625
Rate=4%
Time=3 years
CI=P(1+R/100)^T
=15,625(1+4/100)^3
=15,625*1.124864
=17576 Ans
Step-by-step explanation:
hope it helps
Complete the statements about the associative property and equivalent expressions.
The associative property allows us to change the grouping of the factors that are multiplied together to create ________
1. equibalent expression
2. operations
3. parentheses
4. variables
When changing the grouping, the order of the factors stays the same; only the change position.
The expression______ is an equivalent expression to w(xy)z.
1. w+x+y+z
2. w+xy+z
3. (wx)yz
4. wx + yz
The expression ________ is also an equivalent expression to w(xy)z.
1. 2wx(2yz)
2. wx(yz)
3. wx + yz
4. z+y+x+w
Answer:
1,3,3,2
Step-by-step explanation:
hope this helps :)
The required solutions are,
1. operations.
2. w(xy)z.
3. w(xy)z
The associative property is a mathematical principle that states that the grouping of operations or factors does not affect the final result of a calculation, as long as the order of the terms remains the same.
Here,
The associative property allows us to change the grouping of the factors that are multiplied together to create 2. operations.
When changing the grouping, the order of the factors stays the same; only the position changes.
The expression 3. (wx)yz is an equivalent expression to w(xy)z.
The expression 2. wx(yz) is also an equivalent expression to w(xy)z.
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the value of “y” varies directly with “x”. if y= 56, then x= 4
Find the absolute extrema of the function on the closed interva 6x² X-2 minimum minimum maximum g(x) = (x, y) = (x, y) = (x, y) = LARCALC11 3.1.031. C [-2, 1] (smaller x-value) (large x+value)
The absolute maximum value of the function g(x) = 6x² - 2x on the interval [-2, 1] is 28 at x = -2, and the absolute minimum value is 1/6 at x = 1/6.
To find the absolute extrema of the function g(x) = 6x² - 2x on the closed interval [-2, 1], we need to evaluate the function at the critical points and the endpoints of the interval.
Critical Points:
To find the critical points, we need to find the values of x where the derivative of the function g(x) is equal to zero or undefined.
First, let's find the derivative of g(x):
g'(x) = d/dx (6x² - 2x)
= 12x - 2
To find the critical points, we set g'(x) = 0 and solve for x:
12x - 2 = 0
12x = 2
x = 2/12
x = 1/6
So, the critical point is x = 1/6.
Endpoints:
Next, we evaluate the function g(x) at the endpoints of the interval [-2, 1]:
g(-2) = 6(-2)² - 2(-2) = 24 + 4 = 28
g(1) = 6(1)² - 2(1) = 6 - 2 = 4
Now, we compare the values of g(x) at the critical point and the endpoints to find the absolute extrema:
g(1/6) = 6(1/6)² - 2(1/6) = 1/2 - 1/3 = 1/6
The maximum value is g(-2) = 28, and the minimum value is g(1/6) = 1/6.
Therefore, the absolute maximum value of g(x) on the interval [-2, 1] is 28, which occurs at x = -2, and the absolute minimum value is 1/6, which occurs at x = 1/6.
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Please help me solve the question from below. It is from IM3 Algebra
The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:
log₂(x - 1) = x³ - 4x
Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.
For the point (2, 0):
log₂(2 - 1) = 2³ - 4(2)
log₂(1) = 8 - 8
0 = 0
The equation holds true for the point (2, 0), so (2, 0) is one solution.
For the point (1.1187, -3.075):
log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)
log₂(0.1187) = 1.4013 - 4.4748
-3.075 = -3.0735 (approx.)
The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.
Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
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How do you write 28/50 as a percentage?
Answer: 56%
Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.
So we need to find a fraction that's equivalent
to 28/50 that has a 100 in the denominator.
To do this, we set up a proportion.
So we have 28/50 = n/100.
To find the value of n, we first find the fraction that
is equivalent to 28/50 that has a denominator of 100.
If we multiply both the numerator and denominator of
28/50 by 2, we can see that 28/50 = 56/100.
So 28/50 is equal to 56/100 or 56%.
Math question plz help
Answer:
Yes they are.
Because:
As said in the rules you have to keep the bases and add the exponents.
you are dealt five cards from a thoroughly shuffled standard deck of cards. what is the probability that you get a full house. (full house
The probability of getting a full house is 0.001441 or 0.14%.
When you dealt five cards from a thoroughly shuffled standard check of cards then for the probability of getting a full house we need to know the total number of full house combinations and possible cards hands.
This is calculated by taking the number of possible full house combinations (3,744) and dividing it by the total number of possible 5-card hands (2,598,960). This can be written as :
Mathematically, this can be expressed as:
P(Full House) = 3,744 / 2,598,960 = 0.001441 or 0.14%
Therefore the probability of getting a full house is 0.001441 or 0.14%
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Hello. I'd like to order 5 halves of a cupcake for
my family plus some extra for my 2 friends.
They'll each want a quarter of a cupcake.
Please hurry
Answer:
3
5/2= 2 1/2 + 2× 1/4
Step-by-step explanation:
2/1 × 1/4= 2/4= 1/2
2 + 1/2 + 1/2 = 2+1=3
Answer:bro playing cupcake
Step-by-step explanation:
fr