What is the slope of the line shown?

Answer:

125°

Step-by-step explanation:

Sum of angles of triangle equals 180°:

Answer:

x=125

Step-by-step explanation:

because sum of interior angles of a triangle is 180

Answer:

  see attached

Step-by-step explanation:

You want the attached table of group size and number of groups filled in.

As you know from your early experience with multiplication and division relations, either factor of a product can be found by dividing the product by the other factor:

  P = a·b   ⇒   a = P/b, or b = P/a

Here, the total is equal to the product of the number of groups and the number in each group. That means the missing number on each line can be found by dividing the total by the known number on the line.

When the numbers are already in a spreadsheet, you can let the spreadsheet do the arithmetic.

Answer:

d. -2

Step-by-step explanation:

they're telling you those lines are parallel there are specific knowns about the angles

since it's urgent I won't go into it, but PLS look it up it's super simple and makes sense

nonetheless this means angle 1 and angle 5 are the same value so we can set them equal

3x + 24 = 7x + 32

substract 32 from both sides

3x - 8 = 7x

substract 3x from both sides

-8 = 4x

divide 4 from both sides

-2 = x

69 69 69  69 69 69 69 69 69 69 69 69 69 69 69 69 696 969

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

A. H0: p = 0.67; H1: p < 0.67

A. The standard normal, since np > 5 and nq > 5.;

Test statistic = - 0.397 ;

Pvalue = 0.3457;

D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.

Step-by-step explanation:

p = 0.67 ; q = 1 - p = 1 - 0.67

Sample size, n = 36

x = 23

Test for normality :

(36*0.67) = 24.12

(36 * (1-0.67)) = 11.88

For a normal distribution :

np ≥ 5 and n(1 - p) ≥ 5

The hypothesis :

H0 : p = 0.67

H1 : p < 0.67

The Test statistic :

Z = (phat - p) / √[(p(1 -p))/n]

Phat = x / n = 23 / 36

Z = ((24/36) - 0.67)) / √[(0.67(1 -0.67))/36]

Z = - 0.031 / 0.0783687

Z = - 0.396983

Z = - 0.397

Usong the Pvalue from Z calculator ;

Pvalue of Z = 0.3457

If Pvalue < α ; Reject H0 ; If otherwise, Fail to reject H0

To solve the equation, you just need to find the value of "x".
To do this isolate the variable or use a systematic trial of guessing. Here we would substitute each number in to the equation to find which one is correct.

if x=2

(2)+1

=3 ≠ 7

if x=3

(3)+1

=4 ≠ 7

if x=6

(6)+1

=7=7

Answer:

they are right

Step-by-step explanation:

Answer:

you have the 4 and 7 backwards and the last one they r losing about .75 gallons hope this helps

1. The length of the sides of the two smaller squares are 3 and 4

2. Area of 4 triangles and middles square = 25

3. Area of the big square = 5

The dimensions of the the triangle and the square are

length of square = 1

base = 3

height = 4

Area of the triangle

= 1/2 base * height

= 0.5 * 3 * 4

= 6

For four triangles

= 4 * 6

= 24

Area of small square

= 1 * 1

= 1

summation of the areas

= 24 + 1

= 25

Solving for side of the big square from the area

= √25

= 5

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Answer:

opposite of love is hate

hope this answer will help you

Answer:

Hate is opposite of love

Answer:

Step-by-step explanation:

a. 5/2 ÷ 1/2  =

b. 6/9 ÷ 5/6

c. 3/6 ÷ 2/5

d. 7 1/2 ÷ 6 =

e. 1 1/3 ÷ 1 2/3=

Answer:

Trick answer none of them do.

Step-by-step explanation:

While we looking the given equation, 2x is greater then x² when x is between -∞ and +∞.

Equation:

Equation refers the statement of equality that contains one or more unknown quantities or variables.

Given,

Here we have the equation 2x and x².

Now, we have to find in which point 2x is greater than x².

As per the concept of inequality, we have written the given statement as,

=> 2x > x²

Here we have to find the value of x,

So, we have to divide 2 on both sides then we get,

=> x > x²/2

Therefore, when at the value of x²/2 produces the value that is greater

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The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

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The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer: A

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

The slope of the line is the same as the original equation, with the 3 just shifting the line down 3 spots on the y axis.

Answer:

it's the fourth answer

Step-by-step explanation:

(X-4) (X-4)

\(x^{2}\)-4x-4x+16

\(x^{2}\)-8x+16

The expression is x² + 8x + 16. The correct answer is a) x² + 8x + 16.

To multiply (x - 4)², we can use the concept of expanding a binomial squared. The formula for expanding a binomial squared is:

(a - b)² = a² - 2ab + b²

In this case, a = x and b = 4. Substituting these values into the formula, we have:

(x - 4)² = x² - 2(x)(4) + 4²

= x² - 8x + 16

Therefore, the correct option is a) x² + 8x + 16.

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STEP - BY - STEP EXPLANATION

What to find?

Volume of a cylinder.

Given:

Diameter = 10

Height = 12

Step 1

Recall the formula for volume of a cylinder.

Where r is the radius and h is the height.

Step 2

Determine the height and radius of the cylinder.

From the question, we already know that the height (h) = 12

π=3.14

Step 3

Substitute the values into the formula.

ANSWER

942.478 cubic units.

Answer:

these are the equivalwnt expressions 4/5×15=4×5/15; 5×3=3×15/5

The expression equivalent to 4/5 × 15 is 4×3

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression 4/5×15 thus simplifying it we get

4/5×15= 4×3

           = 12

Hence, The expression equivalent to 4/5 × 15 is 4×3

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Answer:

290

Step-by-step explanation:

(11*8)*2=176, (11*3)*2=66, (3*8)*2=48, 48+176+66= 290

Answer: The center of the circle will be (1,2) and the radius will be 2.5

Step-by-step explanation: Basically since its (x-1) it would become x=1 so that's ur first value same thign with y but that would be ur second value. And since in your equation it is 6.25 that would be 2.5 because 6.25 is r^2 and you are looking for r.

Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).

In this problem, we have that:

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.

Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.

Then:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45\)

The interval is (10.15, 12.45).

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Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

14 + d /5 = 4

2.2 + d = 4

1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

1, 1.8, 4, 4, 5

Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

2, b, 4, 4, 6

Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

Answer: View the image attached

Step-by-step explanation:

Due to the x being squared the graph will be a parabola. The line is solid due to it being a less than AND equal to and the shading it below due to the symbol facing right. (<)

On graph B, the group of birds seems to have twice as much as the group of mammals.

The change in scale on the y-axis from 50 to 85 in increments of 5 in Graph A to 0 to 80 in increments of 10 in Graph B makes the differences between the groups appear larger in Graph B.

As a result, the height of the bar for birds is approximately twice as much as the height of the bar for mammals in Graph B, which may not be apparent in Graph A.

Therefore, the correct option is (a) On graph B, the group of birds seems to have twice as much as the group of mammals.

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Answer:

OK so we can see that when x increases y does too. The answer is C