A graprfruit has a mass of 100 grams, a watermelon has a mass 4 times the mass of the grapefruit. What ia the mass of the watermelon in centigrams?

Answer:

313.6

Step-by-step explanation:

24 1/2 * 12 4/5 = 1568/5 = 313 3/5

= 313.6

Hope I helped (p.s. maybe brainliest?)

Answer:

24 1/2 ÷ 12 4/5 = 1 117/128

Step-by-step explanation:

:))

Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

x = 0 —> y = 0 —> ( 0 , 0 )

x = 1 —> y = – 2 —> ( 1 , – 2 )

x = 5 —> y = – 10 —> ( 5 , – 10 )

x = -3 —> y = 6 —> ( -3 , 6 )

Step-by-step explanation:

x = 0 —> y = -2x = -2(0)=0

x = 1 —> y= -2x = -2(1) = -2

x = 5 —> y = -2x = -2(5) = -10

x = -3 —> y = -2x = -2(-3) = 6

I hope I helped you^_^

Answer:

Step-by-step explanation:

Answer:

264

Step-by-step explanation:

\(f(x)=2x^2+3x-5\)

\(g(x)=x+9\)

\((fg)(x)=f(x) \times g(x)\)

\(\implies (fg)(x)=(2x^2+3x-5)(x+9)\)

\((fg)(3)=(2(3)^2+3(3)-5)(3+9)\)

\(\implies (fg)(3)=22 \times 12\)

\(\implies (fg)(3)=264\)

Answer:

61.8

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 172.6, \sigma = 42.4\)

What percentage of women have weights between the ejection seat’s weight limits (that is, 133.8 to 208.0 lb)?

We have to find the pvalue of Z when X = 208 subtracted by the pvalue of Z when X = 133.8 for the proportion. Then we multiply by 100 to find the percentage.

X = 208

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{208 - 172.6}{42.4}\)

\(Z = 0.835\)

\(Z = 0.835\) has a pvalue of 0.798

X = 133.8

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{133.8 - 172.6}{42.4}\)

\(Z = -0.915\)

\(Z = -0.915\) has a pvalue of 0.180

0.798 - 0.18 = 0.618

0.618*100 = 61.8%

Without the %, the answer is 61.8.

Answer: The answers are in the steps hopes it helps.

Step-by-step explanation:

40% * x = 23   convert 40% to a decimal

0.4 * x = 23     multiply 0.4 is by x

0.4x = 23    divide both sides by 0.4

x= 57.5  

Check:  

57.5 * 40% = ?

57.5 * 0.4 = 23

Answer:

P(B) = 0.20

Step-by-step explanation:

If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).

Provide your answer below:

We are given two events A and B and the formula for the probability of two events is given as:

P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)

Where:

P(A)=0.5

P ( A ∪ B) = P(A OR B)=0.54

P( A∩ B) = P(A AND B)=0.16

P(B) = ??

Hence, we have:

0.54 = 0.5 + P(B) - 0.16

Making P(B) subject of the formula

P(B) = 0.54 - 0.5 + 0.16

P(B) = 0.20

Answer:

It's a because an isosceles is a triangle!

Answer: 216 cm³

Step-by-step explanation:

>Break the shape up into 2 separate shapes so we can work with shapes we know (rectangular prisms/ blocks)

>Let's call the bottom left small block, Shape 1

>Let's call the bigger block on right, Shape 2

Volume for rectangular prism = Length x width x height

Shape 1:

length = 4

width = (6-4) =2

height = (12-9) = 3

V = (4)(2)(3) =24

Shape 2:

length= 4

width = 4

height = 12

V= (4)(4)(12)

V=192

Total volume = 24+192 =216 cm³

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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The box plot that represents the data is the second box plot.

To find the box plot, look for the measure that is different in both box plots and you will find it to be the value of Q1.

Therefore find the value of Q1 in the data by Ellen by first arranging the riders in order :

0, 0, 2, 2, 3, 4, 6, 8, 8, 9, 11, 14, 16

Q1 would be at the 25 th percentile :

= 25 / 100 x 13

= 3.25 position

Q1 is therefore 2 which makes the correct box plot the second one which shows the Q1 value as 2.

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The value of s - t is 2.

It is given in the question that:-

s = 1/4 and,

t = -1.75

We can convert the decimal form of t in the fractional form.

-1(3/4) = -7/4

Hence, according to the data given in the question we can write,

s - t = (1/4)-(-7/4) = (1+7)/4 = 8/4 = 2.

Decimal

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

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Answer:

A. Independent variable

Step-by-step explanation:

The prediction of a variable can be done if we have the independent variable. Which is the required variable that is used to determine the value of the other variable. The variable to be predicted is dependent on the required variable.

An independent variable can also be referred to as a predictor variable. When its value is known, it can be used to obtain the dependent variable.

Answer:

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

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:

The average value of g is:

\(\displaystyle g_{ave}=\frac{1}{6}e^6-\frac{49}{6}\approx 59.071\)

Step-by-step explanation:

The average value of a function is given by the formula:

\(\displaystyle f_{ave}=\frac{1}{b-a}\int_a^b f(x)\, dx\)

We want to find the average value of the function:

\(g(x)=e^{3x-3}-4x\)

On the interval [1, 3].

So, the average value will be given by:

\(g_{ave}=\displaystyle \frac{1}{3-1}\int_1^3 e^{3x-3}-4x\, dx\)

Simplify. We will also split the integral:

\(\displaystyle g_{ave}=\frac{1}{2}\left(\int_1^3e^{3x-3}\, dx-\int _1^3 4x\, dx\right)\)

We can use u-substitution for the first integral. Letting u = 3x - 3, we acquire:

\(\displaystyle u=3x-3\Rightarrow du = 3\, dx\Rightarrow \frac{1}{3} du=dx\)

We will also change the limits of integration for our first integral. So:

\(u(1)=3(1)-3=0\text{ and } u(3)=3(3)-3=6\)

Thus:

\(\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\int_0^6 e^{u}\, du-\int _1^3 4x\, dx\right)\)

Integrate:

\(g_{ave}=\displaystyle \frac{1}{2}\left(\frac{1}{3}e^u\Big|_0^6-2x^2\Big|_1^3\right)\)

Evaluate. So, the average value of g on the interval [1, 3] is:

\(\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\left[e^6-e^0\right]-\left[2(3)^2-2(1)^2\right]\right)\)

Evaluate:

\(\displaystyle\begin{aligned} g_{ave}&=\frac{1}{2}\left(\frac{1}{3}(e^6-1)-16\right)\\&=\frac{1}{2}\left(\frac{1}{3}e^6-\frac{1}{3}-16\right)\\&=\frac{1}{6}e^6-\frac{49}{6}\approx59.071\end{aligned}\)

Answer:

\( m\overset{\Large\frown}{EFC} = 237° \)

Answer:

636 million miles.

Step-by-step explanation:

672 minus 36 is 636. (Because they're both in the millions, you can just subtract their face values).

Since they have the same term (million) we simply subtract 672 and 36, then add million to the answer. 636 million miles is the difference in distance.

Answer:

1 = C

2 = B

3 = B

4= C

Step-by-step explanation:

Im not 100% sure but.. i tried

Answer:sike i lied i must provide

Step-by-step explanation: its ez just do it

The required conjecture is framed. And the coordinates are plotted.

The loci of point 5 units from the origin is a circle of radius 5 centred on the origin (red)

The loci of points 3 units from the x-axis is two parallel lines y=±2(blue)

Visually we can see there are 4 such points of intersection.

The loci of the circle is:

x²+y² = 25

The loci of the two lines are:

y = ±2

At a point of intersection we have both equation satisfied simultaneously; thus:

x² + (±2)² = 25

x² + 4 = 25

x² = 21

x = ±√21

Thus we have the four coordinates (all possible permutations) of:

coordinates (±√21 , ±2)

(-√21,2) , (-√21,-2) , (√21,2) and (√21,-2)

Hence we get the required conjecture.

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Your question is incomplete. Please find the missing content below.

Make a Conjecture Find as many points as you can that are 5 units from

the origin and 2 units from the x axis. Make a conjecture about the shape formed if all the points

5 units from the origin were connected.

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

She has 12 oranges left

Step-by-step explanation:

convert 3/5 to a decimal

3÷5=0.6

then multiply that by 20

0.6*20=12

The graph of the inequality y > 1/4x + 2 is a straight line with a slope of 1/4 passing through the point (0, 2), and the shaded area is above the line. The graph looks like a half-plane that is unbounded in the upward direction.

To graph the inequality y > 1/4x + 2, we can follow these steps:

Start by drawing the line y = 1/4x + 2. To do this, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1/4 and the y-intercept is 2. So we can plot the point (0, 2) and then use the slope to find another point on the line. The slope tells us that for every increase of 4 in x, y will increase by 1. So we can plot the point (4, 3) and draw a straight line passing through both points.

Next, we need to determine which side of the line to shade. To do this, we can pick a point not on the line and test whether it satisfies the inequality. For example, we can pick the point (0, 0) and substitute its x and y values into the inequality y > 1/4x + 2. We get 0 > 1/4(0) + 2, which simplifies to 0 > 2. Since this is false, the point (0, 0) is not a solution to the inequality, so we shade the other side of the line.

Finally, we can label the shaded area to indicate the solution set of the inequality. We can write y > 1/4x + 2 above the shaded area to show the inequality that represents the shaded region.

Therefore, the graph of the inequality y > 1/4x + 2 is a straight line with a slope of 1/4 passing through the point (0, 2), and the shaded area is above the line. The graph looks like a half-plane that is unbounded in the upward direction.

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Answer:

x² - 25=(x-5)(X+5)

x²-3x -15=5.6 or. -2.6

Answer:

circuit A

explanation:

circuit B is a parallel circuit