10+3s≥19 Need help pls

The cost of one carrot is £1.6 and cost of one radish is £3.1 according to the quadratic equations we formed by the given data.

Here the cost of 4 kilo grams of radish and 1 and half kilo gram of carrot is £14.80.

Now, form a quadratic equation from the given data:

4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80 --------(1)

Also given that the cost of 3kg of radishes and 2kg of carrots is £12. 50.

Similarly form a equation with that data:

3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50 ----------(2)

Now simplify both equation 1 and 2

4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80

3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50

--------------------

4(3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50)

3(4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80)

-----------------------

12[tex]\alpha[/tex]+8[tex]\beta[/tex]=50

-(12[tex]\alpha[/tex]+4.5[tex]\beta[/tex]=44.4)

----------------------

3.5[tex]\beta[/tex]=5.6

[tex]\beta[/tex]=1.6

Therefore cost of one carrot is £1.6.

Now substitute the value is equation 1, we get:

4[tex]\alpha[/tex]=12.4

[tex]\alpha[/tex]=£3.1

Therefore cost of one radish is £3.1.

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The equation is 16 + 2x = 3(x - 4) and the solution is x = 28

From the question, we have the following parameters that can be used in our computation:

Sixteen increased by twice a number is 3 times the number decreased by 4​

Let the variable be x

So, we have

16 + 2x = 3(x - 4)

Open the brackets

16 + 2x = 3x - 12

Evaluat the like terms

x = 28

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28.07 and 61.93 degree are the measure of other two angles.

The question talks about a triangle with 3 sides and angles. According to the trigonometry identities

sin x = 8/17

x = sin^1(8/17)

x = sin^-1(0.4708)
x = 28.07 degrees

Determine the measure of the longest leg

y = 45 - 28.07

y = 61.93 degrees

Hence the other two angle measures of a right triangle are 28.07 and 61.93 degree.

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The first day after the autumn equinox that the solar panel generates 8400 kJ is approximately 39.2 days, or 0.107 radians, after the equinox.

To find the first day after the autumn equinox that the solar panel generates 8400 kJ, we need to solve the equation:

624sin(2π/365)t + 8736 = 8400

Simplifying the equation, we get:

sin(2π/365)t = 0.958

Taking the inverse sine of both sides, we get:

(2π/365)t = 1.296 or (2π/365)t = 3.846

Solving for t in each equation, we get:

t ≈ 78.97 or t ≈ 235.62

Since t is measured in radians, we need to convert it to days by dividing by 2π/365:

t ≈ 78.97 / (2π/365) ≈ 86.75 or t ≈ 235.62 / (2π/365) ≈ 256.73

Therefore, the first day after the autumn equinox that the solar panel generates 8400 kJ is either day 87 or day 257.

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Answer:

Step-by-step explanation:

yes no yes

The solution to all the Equations is shown below.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

w = -6, x = 4, y = 3, z = -8

1. WX + YZ

= (-6) (4) + (3)(-8)

= -24 - 24

= -48

2. 2w + 3z- xy + z³

= 2(-6) + 3(-8) - (4)(3) + (-8)³

= -12 - 24 - 12 -512

= -560

3. y(z + x)

= 3(-8 + 4)

= -12

4. (w + x + y)³

= (-6 + 4 + 3)³

= 1

5. (z-w)³

= (-8 + 6)³

= -8

6. 5(w + x) + 4(y + z)

= 5(-6 + 4) + 4(3 -8)

= -10 - 20

= -30

7. W² - x² =

= (-6)² - (4)²

= 36 - 16

= 20

8. (xy) – 2wz

= (4)(3) - 2(-6)(-8)

= 12 -2 (48)

= 12 -96

= -84

9. wz - 4xy

= (-6)(-8) - 4(4)(3)

= 0

10. w+ (x+y+z)²

= -6 + 1

= -5.

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Answer: Check down below!!!

Step-by-step explanation:

   8x² = 6x² + 5x²

   This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:

8x² = 6x² + 5x²

8x² = 11x²

Now, we can isolate x² by subtracting 11x² from both sides of the equation:

8x² - 11x² = 11x² - 11x²

-3x² = 0

Finally, we can divide both sides of the equation by -3 to get:

(-3x²)/(-3) = 0/(-3)

x² = 0

So the solution is x = 0.

   -7x² + 6 = x² - 7x²

   This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:

-7x² + 6 = x² - 7x²

-7x² + x² = -7x² + 6

-6x² = 6

Now, we can isolate x² by dividing both sides of the equation by -6:

(-6x²)/(-6) = 6/(-6)

x² = -1

So the solution is x = ±√(-1), which is an imaginary number.

   7x² + 9x² = -6x² - 7x

   This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:

7x² + 9x² = -6x² - 7x

16x² = -6x² - 7x

Now, we can isolate x² by adding 6x² to both sides of the equation:

16x² + 6x² = -6x² + 6x² - 7x

22x² = -7x

Finally, we can divide both sides of the equation by 22 to get:

22x²/22 = -7x/22

x² = -7x/22

So the solution is x = ±√(-7/22), which is a complex number.

The length of the segment AE is 10 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

The two triangles triangle ABE and triangle CDE are similar triangles.

We know that, the ratio of segments of similar triangle are equal thus:

10 / 8 = 2x + 6 / x+ 6

10(x + 6) = 8(2x + 6)

10x + 60 = 16x + 48

60 - 48 = 16x - 10x

12 = 6x

x = 2

Substitute the value of 2 in 2x + 6:

2(2) + 6 = 10 units.

Hence, the length of the segment AE is 10 units.

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In the given word problem, Ling collected 4/5 bags.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Belle and Ling are collecting clothes for a clothing drive. Ling collected 1/5 as many clothes as Belle did and Belle collected 4 bags of clothes, we need to find how many bags of clothes did Ling collect.

Since, Belle collected 4 bags, and Ling is collected 1/5 of the Belle collection,

So, Ling collected = 4 x 1/5 = 4/5

Hence, Ling collected 4/5 bags.

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The probability that the first n coupons which you collect do not form a complete set is (c^n - (c-1)^n) / c^n.

To find the probability that the first n coupons collected do not form a complete set, we need to count the number of ways in which the first n coupons can be collected so that they do not form a complete set and divide it by the total number of ways in which n coupons can be collected, which is c^n.

Let S be the set of all possible complete sets of coupons. The number of ways in which the first n coupons can form a complete set is the number of ways to choose any one of the complete sets in S, multiplied by the number of ways to order the coupons within that set. There are (c choose n) ways to choose n coupons out of c, and for each complete set of n coupons, there are n! ways to order them. Therefore, the number of ways to choose n coupons that form a complete set is (c choose n) * n!.

The total number of ways to choose n coupons out of c is c^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = 1 - [(c choose n) * n! / c^n]

Alternatively, we can count the number of ways in which the first n coupons can be collected so that they do form a complete set. There are (c-1)^n ways to choose n coupons out of c-1 types of coupons, and for each set of n coupons, there is exactly one way to add the missing coupon to form a complete set. Therefore, the number of ways to choose n coupons that form a complete set is c^n - (c-1)^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = (c^n - (c-1)^n) / c^n

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Answer:

Step-by-step explanation:

On solving the provided question, we can say that equation for getting amount spent by Daniel is y + 38 / 3 = x

A mathematical equatiοn is a formula that joins two statements and uses the equal symbοl (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equatiοn in algebra.

For instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the twο sentences οn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbol. for instance, 2x – 4 = 2.

equatiοn for getting amοunt spent by Daniel -

x = y+38 / 3

Tracy then spent (in dοllars) accοrding to the provided descriptiοn (we don't write symbols like $ when writing equations because it is clear from the cοntext what the quantity stands fοr).

y = 3x - 38

y + 3x8 = 3x

y + 38 / 3 = x

equation for getting amοunt spent by Daniel is

y + 38 / 3 = x

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100%

You calculate the increase, which is the final amount minus the initial amount.

You then divide the value of increase by the original amount (in our case, this was 8÷8).

You then multiply that amount by 100 to put it into a percentage.

Hope this helps!

The hourly change in temperature is -1.5

Fahreheit temperature scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.

The 18th- cenetury German physicist Daniel Gabreil Fahrenheit originally took as the zero of his scale the temperature of an equal ice-salt mixture and selected the values of 30° and 90° for the freezing point of water and normal body temperature, respectively, these later were revised to 32° and 96°, but the final scale required an adjustment to 98.6° for the latter value.

Given:

The temperature underwent a change of -18°F between noon and midnight.

To find:

The hourly change (h) in temperature

There are 12 hours between noon and midnight

So,

According to Question

Equation:

12h = -18

h = -18/12

h =-3/2

h = -1.5

The hourly change in temperature is -1.5

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The temperature underwent a change of -18 degrees Fahrenheit between noon and midnight, then the hourly change in temperature is -1.5.

What is Fahrenheit?

Fahrenheit temperature scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.

The 18th-century German physicist Daniel Gabriel Fahrenheit originally took as the zero of his scale the temperature of an equal ice-salt mixture and selected the values of 30° and 90° for the freezing point of water and normal body temperature, respectively, these later were revised to 32° and 96°, but the final scale required an adjustment to 98.6° for the latter value.

Given:

The temperature underwent a change of -18°F between noon and midnight.

To find:

The hourly change (h) in temperature

There are 12 hours between noon and midnight

So,

According to Question

Equation:

12h = -18

h = -18/12

h =-3/2

h = -1.5

Therefore, The hourly change in temperature is -1.5

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Answer:

16% is the answer.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

I will use targeted ads on social media platforms ,I will also use search engine optimization (SEO)to ensure that my survey is seen by the right people. The survey will be conducted over a  two weeks. In order to ensure that I get a representative sample of people, I will use demographic and psychographic targeting. This will include targeting people based on their age, gender, location, interests, and other relevant characteristics. My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

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The angles that are corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

We know that when a transversal intersects parallel lines or non-parallel lines then the angles formed at the same relative position at each intersection are nothing but the corresponding angles.

If a transversal intersects parallel lines, then the corresponding angles formed have equal measure.

Wheras if a transversal intersects non-parallel lines, then the corresponding angles formed doesn’t have any relation with each other.

In the following figure we can observe that line p and line q are non-parallel lines and are intersected by transversal r.

From definition of corresponding angles, the pair of corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

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Find the complete question below.

Total 21 teams completed the escape room this week.

An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data.

To determine how many teams completed the escape room this week we use the dot plot.

From the dot plot we can see that at 41 min have one found one employee escape from room.

At 44 min have one found 3 employee escape from room.

At 45 min have one found 2 employee escape from room.

At 46 min have one found 4 employee escape from room.

At 47 min have one found 5 employee escape from room.

At 48 min have one found 3 employee escape from room.

At 49 min have one found 2 employee escape from room.

At 50 min have one found one employee escape from room.

Team completed the escape room this week = 1 + 3 + 2 + 4 + 5 + 3 + 2 + 1

Team completed the escape room this week = 21

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Answer:21 i got it correct

Step-by-step explanation:

Answer:

Mr. Jones' tally showed that 0.6 of the students brought in scissors, so the remaining fraction of students would be 0.4 or 40%, who did not bring in scissors.

Step-by-step explanation:

simple

Answer:

40% of the students did not bring in scissors

Step-by-step explanation:

Since % means out of 1.

0.6 would equal 60%

1.0 - 0.6 = 0.4

Other forms of 0.4 would include:

0.40

40%

2/5s

4/10s

40/100s

Answer:

5/12

Step-by-step explanation:

4/6 - 1/4  The common denominator would be 12

8/12 - 3/12 = 5/12

Answer:

5/12

Step-by-step explanation:

mark me please

Answer:

85%

Step-by-step explanation:

well, she missed 3 throws only from all 20's, hmmm if we take 20(origin amount) to be the 100%, what's 3 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 3& x \end{array} \implies \cfrac{20}{3}~~=~~\cfrac{100}{x} \\\\\\ 20x=300\implies x=\cfrac{300}{20}\implies x=15[/tex]

Using a trigonometric relation we will see that the measure of angle x is 40°.

Here we can see a right triangle where one of the angles is x, the hypotenuse is 14 units long, and the opposite cathetus to the known angle is 9 units long.

Here we can use the trigonometric relation:

sin(x) = (opposite cathetus)/hypotenuse

Then we can write:

sin(x) = 9/14

Using the inverse sine function we will get:

Asin(sin(x)) = Asin(9/14)

x = Asin(9/14)

x = 40°

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Answer:

The probability of picking the first boy is 14/26 and the probability of picking another boy is 13/25.

Step-by-step explanation:

If the angle of depression to the buoy is 250, then the buoy is approximately 47.2 meters from the base of the lighthouse.

What is angle of depression ?

The angle of depression is the angle between a horizontal line of sight and the line of sight from an observer to a point or object that is lower than the observer. It is commonly used in trigonometry and geometry problems that involve the height or depth of an object relative to an observer or the ground.

We can start by drawing a diagram to visualize the situation.

In the diagram, A represents the location of the lighthouse, B represents the location of the buoy, and x represents the distance from the base of the lighthouse to the buoy that we want to find.

Since the angle of depression from the lighthouse to the buoy is 25 degrees, we know that angle ABx is also 25 degrees. We also know that the height of the lighthouse above sea level is 22 meters.

We can use the tangent function to find the value of x:

tan(25°) = opposite / adjacent

tan(25°) = 22 / x

Solving for x, we get:

x = 22 / tan(25°)

x ≈ 47.2 meters

Therefore, the buoy is approximately 47.2 meters from the base of the lighthouse.

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The solution is 440 ft² because the overall size of the image is 528 sq ft, which in itself is closest approaching 440 square feet.

Parallel forms are defined as having at least two even more parallel lines. If two lines never cross, they are considered to be parallel. There are different parallel shapes, however any parallel sides require an equitable distribution of sides in the shape.

Sum of the measurements of the two main sides divided by height equals the area of a trapezoid.

Let's refer to the longer parallel side's length as "L." The figure's height is 22 feet, while the shorter parallel side's length is 16 feet.

Area = (L + 16) / 2 * 22

We also knows that the distance between a point and the vertical line formed by two studs is 4 feet and the distance between a vertex and the opposing height is 8 feet. The Pythagorean theorem may be used to determine the length of the greater parallel side, L, since these two lengths create a right triangle.

L² = (8 + 4)² = 64

L = 8

We can now calculate the overall area using the formula for a trapezoid's area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The solution is 440 ft² because the overall size of the figures is 528 sq ft, that is closest towards 440 sq ft.

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Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is +16

Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16

Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -9 .

-16 + -1 = -17

-8 + -2 = -10

-4 + -4 = -8

-2 + -8 = -10

-1 + -16 = -17

1 + 16 = 17

2 + 8 = 10

4 + 4 = 8

8 + 2 = 10

16 + 1 = 17

The sequence is an arithmetic sequence

The equation of tn is Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)

From the question, we have the following parameters that can be used in our computation:

-k^2 - k + 1, k + 2, k^2 + 3k + 3, 2k^2 + 5k + 4

The above sequence is an arithmetic sequence

And the common difference (d) is

d = k + 2 + k^2 + k + 1

d = k^2 + 2k + 3

The nth term is then calculated as

Tn = a + (n - 1)d

So, we have

Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)

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[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³  and x is positive.

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

[tex]y=x^{\frac{1}{5} }[/tex]

[tex]z=x^{\frac{1}{3} }[/tex]

Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]

=[tex]x^{\frac{8}{15} }[/tex]

Hence, option A is correct, if  x=y⁵=z³  then yz is [tex]x^{\frac{8}{15} }[/tex]

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The sampling distribution of the mean price of 30 houses is a normal distribution with a mean of $383,500 and a standard deviation of $52,823 is the correct description among the following given for sampling distribution.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

This can be calculated as:

Standard Deviation of Sampling Distribution =

(Standard Deviation of Population) / (√Number of Samples)

= $289,321 / √30

= $289,321 / 5.4772

= $52.823

Therefore, the sampling distribution of the mean price of 30 houses is a normal distribution with a mean of $383,500 and a standard deviation of $52,823.

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The transformation that maps △UVW to △EFG is (d) (x, y) = (-2x, -2y)

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

Triangle EFG is twice the triangle UVW in side lengths

This means that

(x, y) = (2x, 2y)

The orientations are 180 degrees apart

So, we have

(x, y) = (-2x, -2y)

Hence, the transformation is (d) (x, y) = (-2x, -2y)

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