Salim bought 31/4kg oranges,151/2kg pineapples and 103/4kg bananas. Find the total weight of fruits. If he used 23/4oranges ,121/4kg pineapples and 61/2kg bananas to make juice in a day then find the weight of fruits left?

To choose the single logarithm expression that is equivalent to the given expression, we need to combine the two logarithms into one logarithm using the properties of logarithms. The single logarithm expression that is equivalent to the given expression is log (3x).

To choose the single logarithm expression that is equivalent to the given expression, we need to combine the two logarithms into one logarithm using the properties of logarithms.

Using the property that the logarithm of a product is the sum of the logarithms, we can rewrite the given expression as:

1/3 log (3x) + 2/3 log (3x) = log((3x)^(1/3) * (3x)^(2/3))

Simplifying the expression inside the logarithm gives:

log((3x)^(1/3 + 2/3)) = log((3x)^1) = log (3x)

Therefore, the single logarithm expression that is equivalent to the given expression is log (3x).

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5×3/4=3.75

she needs 3.75 cups of sugar

Answer:

3√10

Step-by-step explanation:

27² + y² = x²

⇒⇒⇒ y² = x² - 27² ----------------- [ 1 ]

3² + y² = z²

⇒⇒⇒ y² = z² - 3² ----------------- [ 2 ]

Equate [ 1 ] and [ 2 ] :

x² - 27² = z² - 3²

x² - z² = 27² - 3²

x² - z² = 720 ----------------- [ 3 ]

x² + z² = 30²

x² + z² = 900 ----------------- [ 4 ]

[ 3 ] - [ 4 ] :

-2z² = -180

z² = 90

z = √90

z = 3√10

Answer:

(x-3)^2+(y+2)^2=16

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where h and k are the coordinates of the center and r is the radius, which is squared.  From our information, h is 3--> (x-3) and k is -2--> (y-(-2))--> (y+2) and 4 squared is 16.  Your choice is A.

Answer:

(x-3)^2+(y+2)^2=16

Step-by-step explanation:

The standard form of a circle is  

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where h and k are the coordinates of the center and r is the radius, which is squared.  From our information, h is 3--> (x-3) and k is -2--> (y-(-2))--> (y+2) and 4 squared is 16.  Your choice is A.

Answer:

Part a) Option d

Part b) Option a

Step-by-step explanation:

Part a

if we look at the options given and the data available

Option a) x^4+9

Putting x= 2 we get (2^4) + 9 =25

Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option

Option b) (4^x)+9

Putting x= 2 we get (4^2) + 9 =25

Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option

Option c) x^5

Putting x= 2 we get (2^5)  =32 but f(x) =25 so not correct option

Option d) 5^x

Putting x= 2 we get (5^2)  =25

Putting x= 3 we get (5^3)  =125

Putting x= 4 we get (5^4)  =625

So Option d is correct.

Part (b)

3(2)^3x

can be solved as:

=3(2^3)^x

=3(8)^x

So, correct option is a

Answer:

The Answer is 5 (3/4) more miles.

Step-by-step explanation:

For this we just need to add and subtract fractions.

We we want  to get to 13 (1/2) miles...however we have already ran

3 (1/2) + 4 (1/4) ... this is the same as 3.5 plus 4.25. When we add those up we get...

3.5+4.25 = 7.75 then we subtract ... 13.5 - 7.75 = 5.75 = 5 (3/4) our answer.

Final answer:

Lorenz needs to run 5 3/4 more miles to meet his goal for his training plan this week.

Explanation:

To find out how many more miles Lorenz needs to run this week to meet his goal, we need to add up the miles he has already run and subtract that from his goal. Lorenz has already run 3 1/2 miles on Monday and 4 1/4 miles on Tuesday, so we can add these two amounts to get 3 1/2 + 4 1/4 = 7 3/4 miles. Next, we subtract this amount from his goal of 13 1/2 miles: 13 1/2 - 7 3/4 = 5 3/4 miles. Therefore, Lorenz needs to run 5 3/4 more miles to meet his goal for his training plan this week.

Answer:

C) about 113

Step-by-step explanation:

"How many people are there per square mile?" means that we want a ratio with miles as denominator. In other words, to find the population density, we just need to divide the population by the land area (miles squared):

[tex]population-density=\frac{people}{land-area}[/tex]

We know that the population of Alabama is 90,000 people and its land area is 800 miles squared, so [tex]people=90000[/tex] and [tex]land-area=800mi^{2}[/tex].

Replacing values:

[tex]population-density=\frac{people}{land-area}[/tex]

[tex]population-density=\frac{90000}{800mi^{2}}[/tex]

[tex]population-density=112.5[/tex]

Which rounds to:

[tex]population-density=113[/tex]

We can conclude that there are approximately 113 people per square mile in Alabama.

Answer:

About 113

Step-by-step explanation:

Hope this help

Answer:

Volcanic Ash

Step-by-step explanation:

Step-by-step explanation:

A six sided die has three even numbers, and each roll is independent, so P(success) is constant at 3/6 = 0.5.  Since it's constant, the variable X does indeed have a binomial distribution.

So the answer is the second one, which you have selected.

Answer:

It is B.

Step-by-step explanation:

The probability of success of rolling an even number in 1 roll = 3/6 = 0.5. This is a constant and  Probability of failure = 0.5. There are 2 possible outcomes so it is a Binomial Distribution.

Answer:

x = -7

Step-by-step explanation:

Since the equation for a directrix of a parabola that opens horizontally is x = h-p, we can plug it in. So h = -3 and p = 4. So x = -3-4 or x = -7.

Answer:

x=-7

Step-by-step explanation:

By the confront theorem we know that the limit only exists if both lateral limits are equal

In this case they aren't so we don't have limit for x approaching 2, but we can find their laterals.

Approaching 2 by the left we have it on the 5 line so this limit is 5

Approaching 2 by the right we have it on the -3 line so this limit is -3

Think: it's approaching x = 2 BUT IT'S NOT 2, and we only have a different value for x = 2 which is 1, but when it's approach by the left we have the values in the 5 line and by the right in the -3 line.

ANSWER

The limit does not exist.

EXPLANATION

From the graph the left hand limit is the value the graph is approaching as x-values approaches 2.

[tex] \lim_{x \to {2}^{ - } }(f(x)) = 5[/tex]

Also the right hand limit is the value that the graph approaches, as x-values approach 2 from the right.

[tex]\lim_{x \to {2}^{ + } }(f(x)) = - 3[/tex]

Since the left hand limit is not equal to the right hand limit, the limit as x approaches 2 does not exist

Parameterize each leg by

[tex]\vec r_1(t)=(1-t)(4\,\vec\imath)+t(-4\,\vec\imath)=(4-8t)\,\vec\imath[/tex]

[tex]\vec r_2(t)=(1-t)(-4\,\vec\imath)+t(4\,\vec\jmath)=(-4+4t)\,\vec\imath+4t\,\vec\jmath[/tex]

[tex]\vec r_3(t)=(1-t)(4\,\vec\jmath)+t(4\,\vec\imath)=4t\,\vec\imath+(4-4t)\,\vec\jmath[/tex]

each with [tex]0\le t\le1[/tex].

The line integrals along each leg (in the same order as above) are

[tex]\displaystyle\int_0^1((4-8t)\,\vec\jmath)\cdot(-8\,\vec\imath)\,\mathrm dt=0[/tex]

[tex]\displaystyle\int_0^1(16t(t-1)\,\vec\imath-4\,\vec\jmath)\cdot(4\,\vec\imath+4\,\vec\jmath)\,\mathrm dt=\int_0^1(64t(t-1)-16)\,\mathrm dt=-\frac{80}3[/tex]

[tex]\displaystyle\int_0^1(16t(1-t)\,\vec\imath+(8t-4)\,\vec\jmath)\cdot(4\,\vec\imath-4\,\vec\jmath)\,\mathrm dt=\int_0^1(64t(1-t)-4(8t-4))\,\mathrm dt=\frac{32}3[/tex]

###

The total line integral then has a value of -16. We can confirm this by checking with Green's theorem. Notice that [tex]C[/tex] as given as clockwise orientation, while Green's theorem assumes counterclockwise. So we must multiply by -1:

[tex]\displaystyle\int_{-C}\vec f\cdot\mathrm d\vec r=-\iint_D\left(\frac{\partial(x-y)}{\partial x}-\frac{\partial(xy)}{\partial y}\right)\,\mathrm dA=-\int_0^4\int_{y-4}^{4-y}(1-x)\,\mathrm dx\,\mathrm dy=-16[/tex]

as required.

To calculate a line integral over a curve in a vector field, parametrize each segment of the curve, substitute these parametrizations into the integral and evaluate the resulting integral over the range of the parameters. Without knowing the paths between the points in question, a specific solution can't be given. However, basic calculus techniques would be used to evaluate these integrals.

The objective here is to find the line integral of the given vector field f⃗=xyi⃗ + (x−y)j⃗ along each segment of the triangle defined by the points (4,0), (-4,0) and (0,4). The vector field involves two variables, x and y. A line integral is a type of integral where a function is integrated along a curve. In this vector field, the function is defined in two variables x and y. Our first step in calculating the line integral is to parametrize each path between these points. Then, we substitute these parametrizations into the integral, which is then evaluated with respect to the parameter. Let's evaluate the line integral over the three segments of the triangle.

Unfortunately, without further information on the specific functional forms of the paths between these points, a concrete solution can't be provided. However, usually, this process involves applying the formula for a line integral over a vector field and using fundamental calculus techniques to simplify and evaluate these integrals. If the paths between points were straight lines, for example, the path parametrizations would be simple linear functions.

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Answer:

The sum of polynomials [tex](6x^{3} +8x^{2} +2x+4)[/tex] and [tex](10x^{3} +x^{2} +11x+9)[/tex] is [tex]16x^{3} +9x^{2} +13x+13[/tex].

Adding [tex](3x-2)[/tex] to the sum above gives a sum of [tex]6x^{3} +9x^{2} +16x+11[/tex]

Step-by-step explanation:

To add two polynomials, the coefficients of the terms of the same degree must be added together. The result of adding two terms of the same degree is another term of the same degree. If any term is missing from any of the grades, it can be completed with 0.

[tex](6x^{3} +8x^{2} +2x+4)+(10x^{3} +x^{2} +11x+9)= 16x^{3} +9x^{2} +13x+13[/tex]

If we adding [tex](3x-2)[/tex] to the sum above, we get:

[tex](16x^{3} +9x^{2} +13x+13)+(0x^{3} +0x^{2} +3x-2)= 16x^{3} +9x^{2} +16x+11[/tex]

Answer:

tons

Step-by-step explanation:

Answer:

PS=5.4

Step-by-step explanation:

The centroid divides each median in the ratio 2:1

If U is the centroid, then

[tex]3.6:x+0.8=2:1[/tex]

We use ratio to obtain;

[tex]\frac{3.6}{x+0.8}=\frac{2}{1}[/tex]

Cross multiply;

[tex]3.6=2(x+0.8)[/tex]

Expand;

[tex]3.6=2x+1.6[/tex]

Group similar terms;

[tex]3.6-1.6=2x[/tex]

[tex]2=2x[/tex]

x=1

PS=PU+US

PS=3.6+1+0.8

PS=3.6+1+0.8

PS=5.4

Answer:For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,

                                           x + y = 18

                                          20x + 15y = 330

The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.

Step-by-step explanation:

Answer:

For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,                                            x + y = 18                                           20x + 15y = 330The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.

Step-by-step explanation:

Answer:

242.4 ft

Step-by-step explanation:

The angle immediately adjacent to the 29° angle is (90° - 29°) , or 61°.

The cosine function relates this 61° angle to the 500 ft hypotenuse and the unknown adjacent side y:

                    y

cos 61° = -----------

                500 ft

so that y = (500 ft)(cos 61°) =  (500 ft)(cos 61°) =  (500 ft)(0.485) = 242.4 ft

Answer:

The height of the tower is 17.79 m

Step-by-step explanation:

The question in English is

To measure the height of a tower, Juan stands at a point on the horizontal ground and observes the highest point of the tower under an angle of 62°. He approaches the tower 6 meters in a straight line and the angle is 79° Find the height of the tower

see the attached figure to better understand the problem  

In the right triangle ABC

tan(62°)=h/x

h=(x)tan(62°) ------> equation A

In the right triangle DBC

tan(79°)=h/(x-6)

h=(x-6)tan(79°) ------> equation B

Equate equation A and equation B and solve for x

(x)tan(62°)=(x-6)tan(79°)

(x)tan(62°)-(x)tan(79°)=-(6)tan(79°)

x=-(6)tan(79°)/[tan(62°)-tan(79°)]

x=9.46 m

Find the value of h

h=(9.46)tan(62°)=17.79 m

Answer:

son las dos en punto

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Let E(x,y) represent the total earnings.

Then E(x,y) = ($20/lawn)x + ($5/bush)y   (Answer D)

Answer:

b= 7 times the square root of 2

Step-by-step explanation: In a 45-45-90 degree triangle the base and the height both equal x and the hypotenuse is equal to x times the square root of 2.

Hope this helps

Answer:

a = 7

b = 7√2

Step-by-step explanation:

45 45 90 right triangle and it's also isosceles right triangle

a = 7

Ratio of leg : hypotenuse = x : x√2

leg a = 7

hypotenuse b = 7√2

Answer:

0, -8

Step-by-step explanation:

3x²  + 24x = 0

Taking out common factor 3x.

3x(x + 8) = 0

Apply zero product property.

3x = 0 or x + 8 = 0

Evaluate.

x = 0 or x = -8

Answer:

First is 3x (x + 8) =0. The second is x = 0, x = -8.

Step-by-step explanation:

These are the correct answers on Plato, I got it correct.

Answer:

Option C

Step-by-step explanation: I think this is right because when you substitute the 2 for x you get the answer. Hope this helps darling!!

A quadratic equation is in the form of ax²+bx+c. The roots of the quadratic equation x² - 4x + 5 = 0 are x = 2 ± i. Thus, the correct option is C.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Given the roots of the quadratic equation are x = 2 ± i. Therefore, we can write the roots as,

α = 2+i

β = 2-i

Now, we know that a quadratic equation can also be written in the form,

x² - (α+β)x + αβ = 0

Therefore, we need to find the value of (α+β) and αβ,

α+β = 2 + i + 2 - i

α+β = 4

αβ = (2+i)(2-i)

αβ = 2²-i²

αβ = 4 + 1

αβ = 5

Thus, the quadratic equation is x² - 4x + 5 = 0.

Hence, The roots of the quadratic equation x² - 4x + 5 = 0 are x = 2 ± i. Thus, the correct option is C.

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Answer:

B. 1/56

Explanation:

There are 8 different marbles. In the first draw, you have a one out of 8 chance of getting the red. In the second draw, there are 7 marbles remaining, so a one out of 7 chance of drawing a white marble. To find the total probability of drawing the red and then white marble, we multiply the probabilities if each draw.

(1/8)*(1/7)=1/56

This question is based on the probability.  Therefore, the correct option is B, [tex]\dfrac{1}{56}[/tex]  is the probability that the red marble is drawn first and the white marble is drawn second.

Given:

There are 8 marbles in a bag. Each marble is a different color. The colors are: red, orange, yellow, green, blue, purple, black, and white. Two marbles are randomly drawn from the bag without replacement.

We need to determined the probability that the red marble is drawn first and the white marble is drawn second.

According to the question,

It is given that, there are 8 different marbles. In the first draw, you have a one out of 8 chance of getting the red is [tex]\dfrac{1}{8}[/tex].

In the second draw, there are 7 marbles remaining, so a one out of 7 chance of drawing a white marble i.e. [tex]\dfrac{1}{7}[/tex].

Now, calculating the total probability of drawing the red and then white marble, we multiply the probabilities if each draw.

⇒ [tex]\dfrac{1}{8} \times \dfrac{1}{7} = \dfrac{1}{56}[/tex]

Therefore, the correct option is B, [tex]\dfrac{1}{56}[/tex]  is the probability that the red marble is drawn first and the white marble is drawn second.

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Answer:

3/13

Step-by-step explanation:

There are 3 5's in the jar and thirteen chips total. You have a probability of pulling 1 of the three 5's out so there is a 3/13 chance of pulling a 5.

Answer:

sample space is 13

3/13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4 multiplied by 5 is equal to 20. You substitute 5 for x.

Answer:

20

Step-by-step explanation:

You are to multiply 5 by 4:  the outcome is 20.  That's all.

The function that would represent the growth of the keepers bee population over time would [tex]\( x = 150 \times 3^n \)[/tex]

How to find the function ?

To model the growth of the bee population in the beekeeper's hive, we can use an exponential growth function. The key information here is that the population triples each year. This means the growth factor is 3.

The function would therefore be:

[tex]\( x = 150 \times 3^n \)[/tex]

The equation is an exponential growth model where:

150 is the initial number of bees.

3 is the growth factor (since the population triples each year).

n is the number of years passed.

For example, to find the bee population after 2 years, you would calculate:

[tex]\( 150 \times 3^2 = 150 \times 9 \\= 1350 \) bees[/tex]

Answer:

$179.94  for 5 pairs of jeans

Step-by-step explanation:

Answer:

The measure of the fourth angle is 81°

Step-by-step explanation:

we know that

The sum of the internal angles of a quadrilateral must be equal to 360 degrees

Let

x----> the measure of the fourth angle

we have

90°+90°+99°+x=360°

Solve for x

279°+x=360°

x=360°-279°=81°

Answer:

92 feet.

Step-by-step explanation:

1. Suzi started at 230 feet

2. Suiz ended at 138 feet

3. Subtract the starting and end numbers 4. 23 - 138= 92

Answer:

whats the answer

Answer:

-0.95

Step-by-step explanation:

The value of R is -0.9538.

A correlation coefficient is a metric that expresses a correlation, or a statistical link between two variables, in numerical terms. Two columns of a specific data set of observations, sometimes referred to as a sample, or two parts of a multivariate random variable with a known distribution may serve as the variables.

Given

X Values

∑ = 26

Mean = 2.889

∑(X - Mx)² = S[tex]S_{x}[/tex] = 28.889

Y Values

∑ = 45

Mean = 5

∑(Y - My)²= S[tex]S_{y}[/tex] = 32

X and Y Combined

N = 9

∑(X - Mx)(Y - My) = -29

R Calculation

r = ∑((X - My)(Y - Mx)) / √((S[tex]S_{x}[/tex])(S[tex]S_{y}[/tex]))

r = -29 / √((28.889)(32)) = -0.9538

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