Apex Precal please help
How many solutions are there for the system shown below?

2x^2+y^2=33
x^2+y^2+2y=19

A. 1
B. 4
C. 3
D. 2

Answer:

1/3

Step-by-step explanation:

4 and 5 are two terms

two out of 6 terms is one third

therefore it has a probability of one out of three

Answer:

the answer is 2/6 i just did this test

ANSWER

(0,-3)

EXPLANATION

The point which is a solution to the inequality must lie in the solution region ( the shaded region)

Also the boundary line is solid. This means that any point on the boundary line is a solution.

(6,0) zero falls outside the shaded region.

(5,-5) is also not in the shaded region.

(0,-5) is also not in the shaded region.

(0,-3) lies on the boundary line therefore it is a solution.

Answer: is 0,-3

Step-by-step explanation:

(3x2.5)+(9x12)

7.5+108

115.5

Answer:

3(2.5)+  9(12)=

Multiply

7.5 + 108= 115.5

Step-by-step explanation:

Plzzz brainlist !!!

Answer:

n >10.5

Step-by-step explanation:

Let n be our number

2/3 n+5 >12

Subtract 5 from each side

2/3 n +5-5 >12 -5

2/3 n >7

Multiply each side by 3/2 to isolate n

3/2*2/3n > 7 *3/2

n > 21/2

n >10.5

Answer:12

Step-by-step explanation: 12x2/3=8

8+5=13 GG

Circumference can be found using [tex]C=2\pi r[/tex] formula. Where [tex]r[/tex] is radius.

Now we just put in the data.

[tex]C=2\pi\times26=52\pi\approx\boxed{163.36}[/tex]

If the radius is 26, firstly we have to calculate the diameter. The diameter is 2 times the radius.

Radius = 26

Diameter = 26 × 2 = 52

Circumference of circle = π × Diameter

= π × 52

= 163.3628 or 163.4 (to 1 dp)

Answer:

the answer is 64 sq. in

Step-by-step explanation:

first you need to find the area of the triangle

a =1/2 bh

= 1/2 (4 in) (6 in)

= 12 sq. in

then find the area of the square

area = lw

=(4 in) (4 in)

= 16 sq in.

then add

Surface area = 4 (12 sq in.) + 16 sq. in

= 64 sq. in

Answer:

c because f(x) is x+6 and the bracket means multiply

Final answer:

The nth term of the sequence can be found using the formula Tn = a + 4(n - 1), where a is the first term and n is the term position. This is based on the characteristics of an arithmetic sequence.

Explanation:

This pattern indicates that the sequence is an arithmetic sequence, where each term is obtained by adding a constant difference to the preceding term.

To find the nth term of an arithmetic sequence, we use the formula:

Tn = a + (n - 1)d

Where Tn is the nth term, a is the first term, n is the position of the term in the sequence, and d is the common difference between terms. For this sequence, d = 4.

Substituting the known values into the formula gives us:

Tn = a + 4(n - 1)

This expression allows us to calculate the nth term of the sequence given the first term (a) and the position (n) of the term we want to find.

Answer:

x= number of tickets bought

y= total

44x+12=y

Answer:

[tex]\boxed{100 - 10x}[/tex]

Step-by-step explanation:

The distributive property states that

a(b + c) = a·b + a·c

We can use this property solve your equation.

10(10 – x)

Distribute the 10

10×10 – 10×x

Do the multiplications

[tex]\boxed{100 - 10x}[/tex]

To find the percentages of things on a two-way frequency table, calculate the relative frequencies by dividing each frequency value by the total number of observations and multiplying by 100. This will give you the proportion of each category expressed as a percentage.

To find the percentages of things on a two-way frequency table, you need to calculate the relative frequencies. The relative frequency is the fraction or decimal value that represents the proportion of each category. You can obtain the relative frequencies by dividing each frequency value by the total number of observations and then multiplying by 100 to convert it into a percentage.

For example, if you have a frequency of 5 in a certain category out of 100 total observations, the relative frequency would be -

= 5/100

= 0.05 or 5%.

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Finding percentages in a two-way frequency table involves understanding joint, marginal, and conditional distributions. Relative frequencies are calculated row by row, and expected frequencies are calculated based on population size and expected percentages. Marginal and conditional distributions focus on one variable or a subpopulation, respectively.

To find the percentages of things on a two-way frequency table, you first need to understand what the contents of the table represent. The numbers in the body of the table are called joint frequencies. For example, if you have a value of 20 signifying the count of women who prefer football, and the total sample size is 50, then the percentage of relative frequency is (20/50)*100 = 40%.

Expected frequencies are calculated by multiplying the expected percentages by the total population size. For example, with an expected percentage of 0.15 and 600 as the total population, you'd calculate 0.15*600=90 as the expected frequency.

Relative frequencies are calculated by dividing each frequency by the total frequency. For example, if in one row the frequency is .25, and the total cumulative frequency so far is .15, then the cumulative relative frequency for that row would be .15 + .25 = .40. Repeat this process for each row to fill out the rest of the table.

A marginal distribution involves focusing on only one of the variables in the table. The reason why 20 (in the ratio 20/50) is a marginal frequency is because it represents the margin or part of the total population that is women.

A conditional distribution goes a step further by focusing on a particular subset of the population, not just one variable. For example, if we focus only on the subset of women who prefer football, we'd calculate the conditional distributions differently.

To find statistical measures such as the median, you can use the cumulative relative frequencies. In this case, you would look for the value corresponding to the 50th percentile in the cumulative relative frequency column.

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Answer:

the y-coordinate is ±√21

Step-by-step explanation:

Aren't you saying that the point lies ON the circle?

If so:

(x - h)^2 + (y - k)^2 = r^2

This becomes

x^2 + y^2 = r^2 because the center is at (0, 0).

This becomes x^2 + y^2 = 25 because the radius is 5.

Let's substitute -2 for x and find y:

4 + y^2 = 25, or y^2 = 21

Then the y-coordinate is ±√21

Answer:

The answer is B 4.6

Step-by-step explanation:

Its on edgen 2022

46:84, it can be simplified to 23:42

A ratio can be written in three different forms and then at that point will you simplify it. 46 width to 84 length, 46:84, 46/84. You can divide 46/84 by 2/2 which will then give you 23/42 or 23:42 or 23 mm wide to 42 mm long. Depends how you choose to express this ratio! Hope that helps

Answer:

Yes, the sides are in the ratio 2:5.

Can you mark me as the brainliest??

Answer:  The correct option is

(B) Yes, the sides are in the ratio 2:5.

Step-by-step explanation:  We are given to check whether the triangles can be similar based on the side lengths alone.

From the figure, we note that

the sides lengths of the triangle RST are

RS = 3.0 cm, ST = 6.0 cm  and RT = 6.4 cm.

and the corresponding side lengths of triangle XUW are

XU = 7.5 cm, UW = 15.0 cm  and  XW = 16.0 cm.

So, the ratio of the corresponding sides of the two triangles are as follows :

[tex]\dfrac{RS}{XU}=\dfrac{3}{7.5}=\dfrac{30}{75}=\dfrac{2}{5},\\\\\\\dfrac{ST}{UW}=\dfrac{6}{15}=\dfrac{2}{5},\\\\\\\dfrac{RT}{XW}=\dfrac{6.4}{16}=\dfrac{64}{160}=\dfrac{2}{5}.[/tex]

Therefore, we get

[tex]\dfrac{RS}{XU}=\dfrac{ST}{UW}=\dfrac{RT}{XW}=\dfrac{2}{5}=2:5.[/tex]

Hence, the corresponding sides are proportional and they are in the ratio 2 : 5.

Thus, (B) is the correct option.

The best answer would give the hight of the shadow without the angle of elevation, not knowing the time of the day the shadow was measured

Answer:

17.33 meters

Step-by-step explanation:

ln(.0006) = -7.42

Any questions please just ask.

Answer:

Option B. [tex]\$1,224[/tex]

Step-by-step explanation:

step 1

Find the area of the playground

The area of the playground is equal to the area of a rectangle plus the area of a triangle

[tex]A=(10)(36)+\frac{1}{2}(36)(24-10)=612\ ft^{2}[/tex]

step 2

Find the number of bags of wood chips needed

by proportion

[tex]\frac{1}{4}=\frac{x}{612} \\ \\x=612/4\\ \\ x=153\ bags[/tex]

step 3

Find the cost

[tex]\$8.00*(153)=\$1,224[/tex]

Answer:

ANSWER IS B

Step-by-step explanation:

YOUR WELCOME ENDGEUNITY STUDENTS

Answer:

Second Option: =  2(y-2x)/(3y-5x)

Step-by-step explanation:

The expression is:

=(2/x-4/y)/((-5)/y+3/x)

Taking LCM in both, numerator and denominator

=  ((2y-4x)/xy)/((-5x+3y)/xy)

Since we know,  

(a/b)/(c/d)=ad/bc

Applying the rule to the given fraction:

=(2y-4x)(xy)/(-5x+3y)(xy)  

xy will be cancelled and we will be left with:

=(2y-4x)/(-5x+3y)

Taking 2 as common:

=  2(y-2x)/(3y-5x)

So the second option is the correct answer. ..

Answer:

x = 113

Step-by-step explanation:

The corresponding angles in both triangles are congruent

Hence x = 113

Answer:

[tex]\large\boxed{6x^2-4x-5(2x^2+3x)=-4x^2-19x}[/tex]

Step-by-step explanation:

[tex]6x^2-4x-5(2x^2+3x)\qquad\text{use the distributive property}\\\\=6x^2-4x+(-5)(2x^2)+(-5)(3x)\\\\=6x^2-4x-10x^2-15x\qquad\text{combine like terms}\\\\=(6x^2-10x^2)+(-4x-15x)\\\\=-4x^2-19x[/tex]

Answer:

Step-by-step explanation:

I learned to solve these with a box method.

        6x^2     -4x     -5

2x^2  

3x

with this method you add the matching terms

       6x^2     -4x     -5

2x^2  | 1 | 2 | 3

3x      | 2 | 3 | 4

          6x^2     -4x     -5

2x^2 | 12x^4 | -8x^3 | -10x^2

3x     | 18x^3 | -12x^2 | -15x

12x^4 + 10x^3 - 22x^2 - 15x

It would be similar.

Answer:

$0.96

Step-by-step explanation:

To find the unit price is to find the price of 1 meter.

9m = $8.64

1 m = 8.64 ÷ 9 = $0.96

Answer:

See the attachment for a plot

Step-by-step explanation:

I find it convenient to plot lines using their x- and y-intercepts, when those are integers. To find the intercepts, we can divide the equation by the constant on the right:

x/10 +y/5 = 1

This is "intercept form". The denominator in each term is the corresponding intercept:

the x-intercept is 10, point (10, 0)

the y-intercept is 5, point (0, 5)

We can choose another value of y to find a third solution. Let y=2. Then we have ...

-x -2(2) = -10 . . . . . put 2 for y in the original equation

-x = -6 . . . . . . . . . . add 4

x = 6 . . . . . . . . . . . . multiply by -1

A third point is (6, 2)

To evaluate the integral, rewrite the integrand as

[tex]x^{-x}=e^{\ln x^{-x}}=e^{-x\ln x}[/tex]

Recall that

[tex]e^x=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}\implies x^{-x}=\sum_{n=0}^\infty\frac{(-x\ln x)^n}{n!}[/tex]

The leftmost sum is the well-known power series expansion for the function [tex]f(x)=e^x[/tex]. In the rightmost sum, we just replace [tex]x[/tex] with [tex]-x\ln x[/tex].

This particular power series has a property called "uniform convergence". Roughly speaking, it's a property that says a sequence of functions [tex]f_n(x)[/tex] converges to some limiting function [tex]f(x)[/tex] in the sense that [tex]f_n(x)[/tex] and [tex]f_{n+1}(x)[/tex] get arbitrarily close to one another. If you have an idea of what "convergence" alone means, then you can think of "uniform convergence" as a more powerful form of convergence.

Long story short, this property allows us to interchange the order of summation/integration to write

[tex]\displaystyle\int_0^1x^{-x}\,\mathrm dx=\int_0^1\sum_{n=0}^\infty\frac{(-x\ln x)^n}{n!}\,\mathrm dx=\sum_{n=0}^\infty\frac{(-1)^n}{n!}\int_0^1(x\ln x)^n\,\mathrm dx[/tex]

The integral can be tackled with a substitution,

[tex]x=e^{-u/(n+1)}\implies-(n+1)\ln x=u\implies\mathrm dx=-\dfrac1{n+1}e^{-u/(n+1)}\,\mathrm du[/tex]

so that the integral is equivalent to

[tex]\displaystyle\int_0^1(x\ln x)^n\,\mathrm dx=\int_\infty^0\left(e^{-u/(n+1)}\right)^n\left(-\frac u{n+1}\right)^n\left(-\frac1{n+1}e^{-u/(n+1)}\right)\,\mathrm du[/tex]

[tex]=\displaystyle\frac{(-1)^n}{(n+1)^{n+1}}\int_0^\infty e^{-u}u^n\,\mathrm du[/tex]

The remaining integral reduces to [tex]n![/tex], which you can derive for yourself via integration by parts/power reduction.

So we have

[tex]\displaystyle\int_0^1x^{-x}\,\mathrm dx=\sum_{n=0}^\infty\frac{(-1)^n}{n!}\cdot\frac{(-1)^nn!}{(n+1)^{n+1}}=\sum_{n=0}^\infty\frac1{(n+1)^{n+1}}[/tex]

which is the same as

[tex]\displaystyle\sum_{n=1}^\infty\frac1{n^n}=\sum_{n=1}^\infty n^{-n}[/tex]

and hence the identity.

Answer:

9

Step-by-step explanation:

since 2 is the minimum and 31 is the maximum you subtract 31 by 22

To find the range of the given data set, follow these steps:
1. Identify the maximum value in the data set.
2. Identify the minimum value in the data set.
3. Subtract the minimum value from the maximum value.
Let's apply these steps to the provided data set:
Data set: 31, 31, 22, 28, 23
Step 1: Find the maximum value.
Looking at the numbers, the maximum value is 31. (Both occurrences of 31 are considered, but since they are the same, the maximum is still 31.)
Step 2: Find the minimum value.
Looking at the numbers, the minimum value is 22.
Step 3: Calculate the range.
Subtract the minimum value from the maximum value: 31 - 22 = 9.
Hence, the range of the given data set is 9.

Perimeter =525.66 ft

Area = 10913.27 ft2

See photo

Answer:

x+3

Step-by-step explanation:

1. Use formula for the difference of squares:

[tex]a^2-b^2=(a-b)(a+b)[/tex]

to factor

[tex]x^2-9=(x-3)(x+3).[/tex]

2. Factor [tex]x^2+8x+15:[/tex]

[tex]x^2+8x+15=x^2+3x+5x+15=x(x+3)+5(x+3)=(x+3)(x+5).[/tex]

Now you can see that [tex]x+3[/tex] is the common factor.

Answer:

x + 3

Step-by-step explanation:

x² - 9 ← is a difference of squares and factors as

x² - 9 = (x - 3)(x + 3)

To factor x² + 8x + 15

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are + 5 and + 3, since

5 × 3 = 15 and 5 + 3 = 8, thus

x² + 8x + 15 = (x + 5)(x + 3)

Thus the factor (x + 3) is common to both

Answer:

A

Step-by-step explanation:

The function is f(x) = [tex]6^x[/tex]

we need to find the value of the function when x = 3. We simply plug in 3 into x and solve.

f (3) = [tex]6^3[/tex]

This means 6 multiplied by itself 3 times. So

6 * 6 * 6 = 216

correct answer is A

Answer:

15: 15, 30, 45, 60, 75, 90, 105, 120, 135...etc, 20: 20, 40, 60, 80, 100, 120, 140...etc, 45: 45, 90, 135, 180, 225, 270....etc

Common Multiples: Is 180, Because all of them have a multiple of 180.

Step-by-step explanation:

Hope i helped you. :)

Answer:

15:

20:

45:

hope this helps

Tim is 20 cm higher on height

Tim's height is 1m 20cm (120cm) and Erica's height is 1m (100cm). The simplified ratio of their heights is 6:5.

To find the simplified ratio of Tim's height to Erica's height, we need to convert both heights to the same unit of measurement (centimeters) before calculating the ratio.

Tim's height = 1m 20cm = 100cm + 20cm = 120cm

Erica's height = 1m = 100cm

Now, we can calculate the ratio of Tim's height to Erica's height:

Ratio = Tim's height / Erica's height

Ratio = 120cm / 100cm

Ratio = 6/5

The simplified ratio of Tim's height to Erica's height is 6:5.

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