Answer:
[tex](17x)^{\frac{2}{4}}[/tex]
Step-by-step explanation:
There's not much work to show for this problem, but I'll explain it for you
Use the exponent rule for roots to combine the 4 and the 2 like a fraction
2 on the top and 4 on the bottom
[tex](17x)^{\frac{2}{4} }[/tex]
That's it! Pretty easy
Good Luck!
pls mark brainliest
Please help due today. (43/7÷ x+32/9) ÷25/6=4/3
The solution to the equation as given in the task content is; x = -3.47.
What is the solution of the equation in discuss?It follows from the task content that the equation given is; (43/7÷ x+32/9) ÷25/6=4/3
(43/7÷ x+32/9) = 25/6 × 4/3
(43/7÷ x+32/9) = 100/18
x +32/9 = 43/7 ÷ 100/18
x + 32/9 = 774/700
x = 774/700 - 32/9
x = -3.47.
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Example
A soccer league has 60 returning players and 36 new players. Each team will have
the same ratio of returning players to new players as the league has. How many
new players will a team with 10 returning players have?
You can use a double number line to find ratios equivalent to 60: 36.
Number pairs that line up vertically represent equivalent ratios.
Returning Players 0
New Players 0
10
++
6
+6
+
-6
60
36
You can divide each quantity in 60: 36 by 6 to find the equivalent ratio 10:6.
A team with 10 returning players will have 6 new players.
1 Sophia says that you can solve the problem in the Example by multiplying both
quantities in the ratio 60:36 by. Is Sophia correct? Explain.
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
If Amn, Bpq are two matrices, state the conditions when they are conformable for (i) addition, (ii) multiplication (iii) addition and multiplication.
Answer:
matrices can be added together if both have the same order
Addition is both commutative and associative
matrices can be multiplied together if the number of column in the right hand matrix equals the number of row in the left hand matrix
If Emery has $1,400 to invest at 5% per year compounded monthly, how long will it be before he has $2,400? If the compounding is
continuous, how long will it be? (Round your answers to three decimal places.)
Answer:
Step-by-step explanation:
(1400x14.5x5%) + 1400 =2415
Answer: 14.5 months
Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven and $1.50 per pizza for the ingredients
Tomorrow, the price for the ingredients will increase from $1.50 per pizza to $2 per pizza. The oven costs will stay the same at $8 per day.
Dominique did some calculations and found that she should bake 8 more pizzas each day in order for the total expenses per pizza (including ingredient and shared oven costs) to remain the same.
Write an equation in terms of p to model the situation.
The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.
What is an equation?
Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.
How do we form the above equation?Everyday pizza production is equal to p.Brick oven use fees are $10 per day.Ingredients for brick oven pizza cost $2 per pizza.$20 a day is the cost of using an electric oven.Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.If an electric oven is used, the total cost of making a pizza falls by $1, including the cost of the ingredients.Total cost of baking p pizzas with brick oven = A = p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).
Total cost of baking p pizzas with electric oven = B = p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).
B = A - 1 (as using electric oven saves $1 per day, as given)
Thus, we get:
2p + 10 = 0.8p + 20
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I have to be at work at 4 am it takes 34 mins to walk to work from my house what time would i have to leave my house to be at work on time at 4 am
Answer:
3:26 to be on time!
Step-by-step explanation:
If you leave your house at 3:26 am and then walk 34 minutes it will be 4 am
once you get to work.
A. What are the coordinates of R’ if R (-2, 7) is dilated around the origin with k=3?
B. What are the coordinates of T’ if T (4,-1) is dilated by a scale factor of ½ with R as the center of the dilation?
A: The coordinates of the point R' are (- 6, 21).
B: The coordinates of the point T' are (1, 3).
How to generate new points by definition of dilation
In this question we must make use of rigid transformations to find the location of new points, rigid transformations are transformations used in geometric loci such that Euclidean distance is conserved. In this case, we need to use a kind of rigid transformation known as dilation, which is defined below:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of dilationk - Dilation factorP(x, y) - Original pointP'(x, y) - Resulting pointPart A - If we know that O(x, y) = (0, 0), R(x, y) = (- 2, 7) and k = 3, then the coordinates of point R' are:
R'(x, y) = (0, 0) + 3 · [(- 2, 7) - (0, 0)]
R'(x, y) = (- 6, 21)
Part B - If we know that O(x, y) = (- 2, 7), T(x, y) = (4, - 1) and k = 1/2, then the coordinates of point T' are:
T'(x, y) = (- 2, 7) + (1 / 2) · [(4, - 1) - (- 2, 7)]
T'(x, y) = (- 2, 7) + (1 / 2) · (6, - 8)
T'(x, y) = (- 2, 7) + (3, - 4)
T'(x, y) = (1, 3)
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Please help, need for hw and cant find the fourth degreee
The quartic equation behind the graph is y = - 2 · x⁴ + 4 · x³ + 6 · x² - 8 · x - 8.
How to derive the expression for a quartic function
Quartic functions are fourth grade polynomials and according to the fundamental theorem of algebra, such kind of expressions have at least two real roots and at most four real roots. The graph of the picture shows a polynomial with two roots of multiplicity 2: x₁ = - 1, x₂ = 2.
y = a · (x + 1)² · (x - 2)² (1)
Where a is the leading coefficient.
If we know that (x, y) = (0, 4), then the leading coefficient of the polynomial is:
4 = a · (0 + 1) · (0 - 2)
4 = - 2 · a
a = - 2
Then, the quartic equation is equal to:
y = - 2 · (x + 1)² · (x - 2)²
y = - 2 · (x² + 2 · x + 1) · (x² - 4 · x + 4)
y = - 2 · [(x² + 2 · x + 1) · x² + (x² + 2 · x + 1) · (- 4 · x) + (x² + 2 · x + 1) · 4]
y = - 2 · (x⁴ + 2 · x³ + x² - 4 · x³ - 8 · x² - 4 · x + 4 · x² + 8 · x + 4)
y = - 2 · (x⁴ - 2 · x³ - 3 · x² + 4 · x + 4)
y = - 2 · x⁴ + 4 · x³ + 6 · x² - 8 · x - 8
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Ivan bought two magazines for $4.95 each. If the sales tax was 6.75% what was the total amount that he paid for the magazines?
Step-by-step explanation:
the total sale price for the magazines were
2×4.95 = $9.90
so,
100% = 9.9
1% = 100%/100 = 9.9/100 = 0.099
6.75% = 6.75×1% = 6.75×0.099 = 0.66825 ≈ $0.67
so, he paid in total
$9.90 + $0.67 = $10.57
Please help!
Express the area of the region bounded by the x-axis, y = 1/2x - 2 and y equals the cubed root of x, using definite integrals.
The integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2
How to integrate between two curves?
We are given the functions as;
y = ¹/₂x - 2
y = ∛x
Now, from the graph the coordinate of the point where both curves intersect is at; (8, 2)
Thus, the x-coordinate here is x = 8
∛x - (¹/₂x - 2)
∛x - ¹/₂x + 2
Similarly, another point of intersection of both curves is at the coordinate (0, -2). Thus, the x-coordinate here is; x = 0
Thus, the integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2
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last week you worked the following hours monday 5 1/2 wednesday 6 3/4 friday 4 1/2 how many hour did you work in all week
Answer:
Step-by-step explanation:
You worked 16 hours and 45 minutes
5 1/2 = 5 hours and 30 minutes
6 3/4 = 6 hours and 45 minutes
4 1/2 = 4 hours and 30 minutes
Add the hour and minutes.
5 hours 30 min + 4 hours 30 min = 10 hours
10 hours + 6 hours 45 min = 16 hours and 45 minutes
Please help me this is due Monday!
Answer:
1.
2. Additive Identity
3. Associative Property
4. Multiplication Inverse Property
5. Multiplication Property of 0
6. Commutative Property
7.
8.
Step-by-step explanation:
Find the slope and reduce.
P=(2, 3) Q=(9, 7)
Slope =
Answer: 4/7
Step-by-step explanation:
Slope = Rise/Run = (7-3)/(9-2) = 4/7
Answer:
4/7
Step-by-step explanation:
The formula to find the slope is: (change in y)/(change in x)
Or also: Rise/Run
The change in y is: 3 --> 7 which is +4
The change in x is: 2 --> 9 which is +7
So the (change in y)/(change in x) will be 4/7.
Since 4/7 cannot be simplified further, that is our final answer.
write each number as a logarithm with base 2:-3
The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
What are logarithms?As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
How to rewrite the number as a logarithm?The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
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For the equation:
y=−x^2+10x−24, the x-intercepts are already given on the graph. Now, using the parabola tool, graph rest of the equation.
The graph of the parabola can be seen in the image below.
How to graph the parabola?
We need to find some points on the parabola, and then draw a curve that connects them.
On the graph you already have the x-intercepts, so you already have two points.
Now let's get another point which is the vertex.
For our parabola:
[tex]y = -x^2 + 10x - 24[/tex]
The vertex is at:
[tex]x = -10/(2*-1) = 5[/tex]
Evaluating in x = 5 we get:
[tex]y = -5^2 + 10*5 - 24 = 1[/tex]
So we also have the point (5, 1), now we can just connect the points and get the parabola:
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The total mass of Faizal, John and Raju is 154.2 kg. John is 10.48 kg
heavier than Raju and 9.23 kg heavier than Faizal. Find Raju's mass.
Answer:
R = 47.49 kg
Step-by-step explanation:
To find answer, I will put things in terms of Raju's mass
J = R + 10.48
J - 9.23 = F or R + 10.48 - 9.23 = F
F + J + R = 154.2
(R + 10.48- 9.23) + (R+10.48 ) + R = 154.2
3R = 142.47
R=47.49 kg
The wall, shown above in Figure 105.1401, has an overall length that is 37’ and 8 1/4" . Three receptacle outlets are to be installed in this wall. L2 is twice as long as L1 . L1 should be _____' _____''.
Since L₂ is twice as long as L₁, the length of L₁ should be 12' and 6 3/4".
How to calculate the length (L₁)?First of all, we would convert the value of the overall length in feet to inches as follows:
1 feet = 12 inches
37 × 8 1/4 feet = X inches
Cross-multiplying, we have:
X = 1809/4 inches.
Since L₂ is twice as long as L₁, we have:
L₂ = 2L₁
Also, the overall length is given by:
T = 2L₁ + 2L₂
T = L₂ + 2L₂
T = 3L₂
1809/4 = 3L₂
L₂ = 1809/4 × 1/3
L₂ = 1809/12
L₂ = 150.75''
L₂ = 12' and 6 3/4".
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P: 2,012
1) El volumen de un cubo de arista 1 es Vc = 1³ y el
Volumen de una esfera de radior es
JE
V₁ = πr ²³ Entonces si en un cubo de arista 4cm
3
y se introduce una pelota de diametro 4 cm, al Calcular
aproximación con cuatro cifras decimales, por exceso.
Calcular el volumen que queda entre la esfera y el cubo.
(toma π =
3,141592654)
El volumen que queda entre la esfera y el cubo es: 30.49cm^3
¿Como calcular el volume sobrante?
El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.
Para el cubo que tiene una arista de 4cm, el volumen es:
V = (4cm)^3 = 64 cm^3
Para la esfera con un diametro de 4cm, el radio es:
R = 4cm/2 = 2cm
Y el volumen será:
V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3
El volumen que queda entre la esfera y el cubo es:
V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3
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What must be true for line EF to not intersect plane L?
Answer:
If line EF is parallel to line CD, it will not intersect plane L.
Find a potential function for the vector field
The answers to the question are given as x²y + 24x +16y and 87
How to solve for the potential function of the vector field
(2xy + 24, x² + 16)
We have to check in order to be sure that the vector that we have here is a gradient field
we have fx = 2xy + 24 and fy = x² + 16
Such that we would have x²y + 24x +g(y)
for f(y) g' = 16 = 16 + c
Given that there is no lose of generality, we are going to have the following where
x²y + 24x +16y
b. We have to solve this oart by making use of the fundamental theory of integrals
f2,4 = 4*4 + 24*2 + 16*4
= 16 + 48 + 64
= 128
f1,1 = 1*1 + 24*1 + 16*1
= 1 + 24 + 16
= 41
128 - 41 = 87
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Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415.
The interest due on financing option is $307.50
What is interest on financing?
Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.
The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each
Down payment=cash price*25%
Down payment=$6230*25%
Down payment=$1,557.50
Total monthly payments=amount of each monthly payment*number of monthly payments
monthly payment=$415
number of monthly payments=12
Total monthly payments=$415*12
Total monthly payments=$4,980
Total payment under financing=Down payment +Total monthly payments
Total payment under financing=$1,557.50+$4,980
Total payment under financing=$6,537.50
Interest=$6,537.50-$6,230
Interest on financing=$307.50
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Complete question:
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?
8. If one of the 1124 people is randomly selected, find the probability that the person is a man or heavy smoker. (a) 145 /281 (b) 617 /1124 (c) 1031 /1124 (d) 37 /1124
The probability that the person is a man or heavy smoker is 621 / 1124.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability that the respondent is a man or heavy smoker can be determined by adding the probability that the respondent is a man and the probability that the respondent is a heavy smoker together.
The probability that the person is a man or heavy smoker = (number of men / total number of respondents) + (number of heavy smokers / total number of respondents)
(531 / 1124) + (90 / 1124) = 621 / 1124
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if tan theta = 1/√5 then verify the identity sin²theta + cos²theta = 1
The identity of sin²Ф + cos²Ф = 1 is verified below
How to evaluate Trigonometry Ratio ?Trigonometry ratio can be evaluated by following the laid down rules with the the use of table and calculator
Given that tan Ф = 1/√5
Where Tan Ф = Opposite / adjacent
We can calculate the hypotenuse by using Pythagoras theorem
Hyp² = 1² + (√5)²
Hyp² = 1 + 5
Hyp = √6
sin Ф = opp / hyp
sin Ф = 1/√6
sin²Ф = 1/6
cos Ф = adj / hyp
cosФ = √5 / √6
cos²Ф = 5/6
sin²Ф + cos²Ф = 1/6 + 5/6
sin²Ф + cos²Ф = 6/6
sin²Ф + cos²Ф = 1
Therefore, the identity of sin²Ф + cos²Ф = 1 is verified.
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We will start with a string which is pulled tight enough to vibrate at 288 Hertz when
plucked. Let the length of the string be 1 unit. We can find additional nice sounding
notes by using a string of a smaller length with the same amount of tension. To find
the string lengths, we need to use fractions whose numerators are powers of 2 and
whose denominators are powers of 3 (which are larger than ½, but smaller than 1).
The first few fractions are given below. Determine the remaining fractions:
The series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.
The string lengths are fractions whose numerators are powers of 2 and denominators are powers of 3, and the fractions are larger than 1/2 but smaller than 1.
Some powers of 2 are:
2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32, 2⁶ = 64, 2⁷ = 128, 2⁸ = 256, 2⁹ = 512, 2¹⁰ = 1024, 2¹¹ = 2048, 2¹² = 4096, 2¹³ = 8192, 2¹⁴ = 16384, 2¹⁵ = 32768, 2¹⁶ = 65536, and 2¹⁷ = 131072.
Some powers of 3 are:
3⁰ = 1, 3¹ = 3, 3² = 9, 3³ = 27, 3⁴ = 81, 3⁵ = 243, 3⁶ = 729, 3⁷ = 2187, 2⁸ = 6561, 3⁹ = 19683, 3¹⁰ = 59049, and 3¹¹ = 177147.
The fractions, for which the numerator is a power of 2, the denominator is a power of 3, and the value is between 1/2 and 1 are:
2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.
Thus, the series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.
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Use the midpoint rule with the given value of n to approximate the integral. (Round your answer to four decimal places.)
16
0
sin
x
dx, n = 4
Split up [0, 16] into 4 equally-spaced subintervals of length [tex]\frac{16-0}4=4[/tex],
[0, 16] = [0, 4] U [4, 8] U [8, 12] U [12, 16]
with midpoints 2, 6, 10, and 14, respectively.
Then with the midpoint rule, we approximate the integral to be about
[tex]\displaystyle \int_0^{16} \sin(\sqrt x) \, dx \approx 4 \left(\sin(\sqrt2) + \sin(\sqrt6) + \sin(\sqrt{10}) + \sin(\sqrt{14})\right) \approx \boxed{4.1622}[/tex]
There are three novels on Sam's reading table: Light, Zami, and Money.
. On his next trip, he can choose to take some, none, or all of these novels. In the braces below, list all the possible sets of novels that Sam can take.
Write each set in your list in roster form. If there is more than one set in your list, separate them with commas. If you need the empty set in your list, use the symbol Ø.
The subsets of the set of novels is given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
How to find the subsets of a set?Suppose we have a set with cardinality n, that is, with n elements. This set will have 2^n subsets, which are all the possible combinations with the elements of the set, including the empty set.
In this problem, the novels are given as follows:
Light, Zami, and Money.
Hence the possible subsets are given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
With is the list that is asked for this problem, which are the subsets of the set of novels.
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1)y-6=12 7)8t=42 porfavor alguien me ayuda con esto
2)-5+k=1 para quien no lo sepa,la cosa es encontrar el valor de
3)-2g=-14 8)-9+z=18 la letra que sale ay
4)y_4=12 9)7+w=14
5)12+u=-12 10)13_5=12
6)f-7=10 11)D_2=-10
The solution to the following equations is given below;
Equationy - 6 = 12
y = 12 + 6
y = 18
-5 + k = 1
k = 1 + 5
k = 6
-2g = -14
g = -14/-2
g = 7
y - 4 = 12
y = 12 + 4
y = 16
12 + u = -12
u = -12 - 12
u = -24
f - 7 = 10
f = 10 + 7
f = 17
8t = 42
t = 42/8
t = 5.25
-9 + z = 18
z = 18 + 9
z = 27
7 + w = 14
w = 14 - 7
w = 7
13 - 5 = 12
8 ≠ 12
D - 2 = -10
D = -10 + 2
D = -8
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Will mark brainliest
A table of values of an increasing function f is shown.
x 10 14 18 22 26 30
f(x)
−14
−8
−1
1
4
7
The upper estimate and lower estimate become R5 = 16 and L5 = −64
According to the statement
we have given that the some values of the increasing function f and we have to find the lower estimate and upper estimate values.
So, For this purpose, we know that the
the values of x is 10 14 18 22 26 30
And the values of f(x) is −14 −8 −1 1 4 7
So,
Δx = 4 because
L5 = 4(−12 − 6 − 2 + 1 + 3) = −64,
And
R5 = 4(−6 − 2 + 1 + 3 + 8) = 16.
And from these functions we see that the
The function being increasing, the Riemann sum with left endpoint L5 = −64 is a lower estimate,
And while the sum with right endpoints R5 = 16 is an upper estimate.
So, The upper estimate and lower estimate become R5 = 16 and L5 = −64
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Divide. Write your answer in simplest form.
3/14 divided by 7/10???
Answer:
[tex]\frac{15}{49}[/tex]
Step-by-step explanation:
[tex]\frac{3}{14} /\frac{7}{10} =\frac{3}{14} *\frac{10}{7} = \frac{3}{7} *\frac{5}{7} =\frac{15}{49}[/tex]
Which function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas?
Review Later
Formula Builder
Auditing
Screening
Templates
The function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas is; Formula Builder
What is the financial tool used?S&P Capital IQ Excel plug is a tool that helps to provide access to financial data, news and analytics for real estate investment trusts (REITs) including other industry data on bank & thrifts, financial services, insurance, real estate and other markets.
Now, when the Excel Plug-in has been installed, a new toolbar will be
available in Excel. This toolbar is called formula builder and it is useful for the following use in S&P Capital;
Enable/Disable the Excel Plug-inSearch any company financialsSearch for formulasBuild formulasCreate comp setsGo to saved screensAccess chartingRefresh dataOpen the S&P Capital IQ platform in a browserOpen S&P Capital IQ’s screening pageAccess filingsRead more about Financial Tool at; https://brainly.com/question/14364696
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