)) Devon jarred 15 liters of jam after 3 days. How much jam did Devon jar if she spent 4 days
making jam? Assume the relationship is directly proportional.

Answer:

[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Step-by-step explanation:

Given

[tex]3(x + 3y + 2x - y)[/tex]

Required

Possible Equivalents

To start with; we need to simplify the expression in the bracket;

[tex]3(x + 3y + 2x - y)[/tex]

Collect like terms

[tex]3(x + 2x + 3y - y)[/tex]

[tex]3(3x +2y)[/tex]

At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Solving further, by expanding the bracket

[tex]3(3x +2y)[/tex]

[tex]3*3x +3*2y[/tex]

[tex]9x +6y[/tex]

At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Hence,

[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]

Answer:

144

Step-by-step explanation:

Area of a square is [tex]s^2[/tex]

The side length is 12 cm.

[tex]12^2=144[/tex]

Therefore, the area of the square is [tex]144 \: cm^2[/tex].

Answer:

the answer is C:x=20 I used a calculator

Answer:

The answer would be just about 61% or 9/14

Step-by-step explanation:

So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.

The probability of getting 2 greens is 5/31

Probability is the likelihood or chance that an event will occur. It is expressed as:

Probability = Expected outcome/Total outcome

Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:

If green is picked at first, the probability of selecting a green is  5/12

The probability of getting 2 greens = 5/12 × 4/11

The probability of getting 2 greens = 20/132

The probability of getting 2 greens = 5/31

Hence the probability of getting 2 greens is 5/31

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Answer:

[tex](x-2)^2+(y+4)^2=34[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:

[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]

The equation of the circle is therefore:

[tex](x-2)^2+(y+4)^2=34[/tex]

Hope this helps!

Answer:

C.

Step-by-step explanation:

First find the pattern. The pattern is you multiply the number before by -3.

Just start with x as the first number.

x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x

Add them all up: -14762

Now multiply by -3:

44286

The required sum of the first 10 terms in the series is given as 44286. Option C is correct.

Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
For Geometric progression,
a = -3
r = 9/-3 = -3

The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286

Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.

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Answer:

It's (B) [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hope this helped you!

Answer:

f^-1(8) = 3/2

Step-by-step explanation:

f(x) = 2x + 5

y = 2x + 5

x = 2y + 5

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

f^-1(8) = (8 - 5)/2

f^-1(8) = 3/2

Answer:

115° and 245°

Step-by-step explanation:

Given

cos x = - 0.4226

Since cos x < 0 then x is an angle in the second / third quadrants, thus

x =  (0.4226) = 65° ← related acute angle , thus

x = 180° - 65° = 115° ← angle in second quadrant

x = 180° + 65° = 245° ← angle in third quadrant

Answer:

[tex]x=\{44\º, 317\º\}[/tex]

Step-by-step explanation:

The interval given is [tex](0, 360\º) \text{ or } (0, 2\pi)[/tex]

In exercises of this kind I usually use

[tex]\cos \left(x\right)=a\quad \Rightarrow \quad \:x=\arccos \left(a\right)+360\º n, n \in \mathbb{Z}[/tex]

[tex]\quad \:x=\arccos \left( 0.7252\right)+360\º n, n \in \mathbb{Z}[/tex]

And [tex]\arccos \left( 0.7252\right) \approx 43.5^{\circ \:}[/tex]

But once we have the solution for cos in two different quadrants, I mean, Quadrant I and Quadrant IV angle.

To the nearest degree, we have

[tex]x=\{44\º, 317\º\}[/tex]

Answer:

4

Step-by-step explanation:

[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]

Hope this helps!

Answer:

Brainleist!

Step-by-step explanation:

10^x = 0.1

x =log(0.1)

Decimal Form:  x=−1

The rational expression that has a value of 1 when x =-1 would be; D 2x²/ (x + 3).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

We need to determine the expression that has a value of 1 when x =-1

Let's consider the rational expression of the option D;

2x²/ (x + 3)

Now substitute the value x = -1 in the given expression

2x²/ (x + 3)

2(-1)²/ (-1 + 3)

= 2/ 2

= 1

Hence, the required rational expression is D 2x²/ (x + 3).

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answer: X would equal 104

Step-by-step explanation:

you would first find the interior angle for the other 2 exterior angles this would lead for  the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X

Missing exterior angle is 104°.

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In the figure

Measure of exterior angles = 92°, 164°, x°

Sum of exterior angles of triangle is 360°

92° + 164° + x° = 360°

256° + x° = 360°

x° = 360° - 256°

x° = 104°

Hence, 104° is the measure of the missing exterior angle.

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Answer:

gºf(x)​ = [tex]3x^2 -1[/tex]

Step-by-step explanation:

Given

f(x) = x2

g(x) = 3x - 1

To find

gºf(x)​

To find  gºf(x)​ we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)

lets do that

g(x) = 3x - 1

gºf(x)​ = 3(f(x)) -1

gºf(x)​ = [tex]3x^2 -1[/tex]

Thus, value of  gºf(x)​ is   [tex]3x^2 -1[/tex].

Answer:

0.58 is where the blue dot on the number line is

Answer:

The blue dot is at -0.58

Answer:

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

If

[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

then

[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So; 2A - 4B becomes

[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Hence, 2A - 4B is equivalent to

[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Answer:

sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.

Answer:

(3, -3)

Step-by-step explanation:

If a point is dilated about the origin rule to be followed,

(x, y) → (kx, ky)

where k is a scale factor by which the point is being dilated.

If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]

Therefore, coordinates of the image R' will be (3, -3)

Answer: 98 is your answer

Step-by-step explanation:

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

Answer:

6 and 2

Step-by-step explanation:

6+6=12

2+2=4

12+4=16

Answer:

-9

y= x + 3

2

2

Step-by-step explanation:

its simple just follow my steps

Answer:

Step-by-step explanation:

[tex]g^{-1} (-3)=7\\[/tex]

let h(x)=y

y=2x-3

flip x and y

x=2y-3

2y=x+3

[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]

Answer:

B) Acute triangle

Step-by-step explanation:

In acute triangles, all of the angles are less than 90°. This is true for this triangle :)

I hope this helps!!

Answer:

B) Acute triangle

Step-by-step explanation:

All the angles are less than 90 degrees so all the angles are acute

Answer:

Check Explanation.

Step-by-step explanation:

Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.

From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.

Total Area under the curve = ½×base×height

= ½ × (5-1) × 0.5 = 1 square unit

Area under the density curve where x is less than 4 is a trapezium.

Area of a trapezium = ½ (a+b) h

For the area under the density curve where x is less than 4,

a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3

Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit

In terms of the total area, Area under the density curve where x is less than 4 covers

(0.9375/1) × 100% = 93.75%

Hope this Helps!!!

Answer:

Volume of cuboid = length × width × height

length = 20cm

width = 8cm

height = 15cm

Volume = 20cm × 8cm × 15cm

= 2400cm³

Volume of the cuboid is 2400cm²

Hope this helps.

Answer:

2,400cm³

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID= L×B×H

WHERE L IS LENGTH = 20cm

B IS BREADTH = 15cm

H IS HEIGHT=8cm

:• VOLUME= 20cm ×15cm × 8cm

= 2,400cm³

Answer:

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Step-by-step explanation:

Step(i):-

Given data the researcher has obtained data that states that 45% of citizens are in favor of the president

probability of success  'p' = 45% or 0.45

                                       q = 1-0.45 = 0.55

Given random sample size 'n' = 8

Let 'X' be the random variable

let 'X' = 6

[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]

[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]

P( X=6) = 28 × 0.00830 ×0.3025

P( X=6) = 0.070

Conclusion:-

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Answer:

28

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

Step 1: Find slope

m = (2-4)/(-2+6) = 1/2

Step 2: Find y-intercept

y = -1/2x + b

2 = -1/2(-2) + b

2 = 1 + b

b = 1

Step 3: Write it all together

y = -1/2x + 1

And we have our final answer!