What is the surface area of the regular pyramid given below?
A. 280 units2
B. 329 units2
C. 189 units2
D. 140 units2

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

Answer:

1)a. y = x² + 4 is y = x² shifted up 4 units.

To graph y = x² + 4, start with these

points:

x y

-2 8

-1 5

0 4

1 5

2 8

Draw a smooth curve through these

points.

b. y = (x - 3)² is y = x² shifted 3 units to the

right.

To graph y = (x - 3)², start with these

points:

x y

0 9

1 4

2 1

3 0

4 1

5 4

6 9

Draw a smooth curve through these

points.

2)a. y = x² - 5

b. y = (x - 7)²

c. y = (x + 3)²

d. y = (x - 6)² + 4

Answer:

whatever x is, you will half it and subtract 2

x: 4 y:0

x:6 y:1

x:8 y:2

x:10 y:3

Answer:

29

Step-by-step explanation:

showing what equal it is to it

(a) The probability that all five calls are emergencies is 0.00008.

(b) The probability that two or more calls are not emergencies is 0.67808.

(c) The smallest number of calls that the 911 operators need to answer to be at least 92% (or more) sure that at least one call is an emergency is 7

(a) If 85% of the calls are not emergencies, then the probability that a call is an emergency is 1 - 0.85 = 0.15. Assuming that the calls are independent, the probability that all five calls are emergencies is

0.15^5 = 0.0000759375

Rounding to five decimal places, the probability is 0.00008.

(b) The probability that a call is not an emergency is 0.85. The probability that two or more calls are not emergencies can be calculated using the complement rule

P(two or more calls are not emergencies) = 1 - P(all five calls are emergencies) - P(one call is not an emergency)

We can calculate P(one call is not an emergency) as

P(one call is not an emergency) = 5C1 * 0.15^1 * 0.85^4 = 0.3218359375

where 5C1 represents "5 choose 1", or the number of ways to choose 1 call out of 5. Using this, we can calculate:

P(two or more calls are not emergencies) = 1 - 0.00008 - 0.3218359375 = 0.6780840625

Rounding to five decimal places, the probability is 0.67808.

(c) To determine the smallest number of calls needed to be at least 92% sure that at least one call is an emergency, we can use the complement rule again

P(at least one call is an emergency) = 1 - P(no calls are emergencies)

We want this probability to be at least 0.92, so we can set up the following inequality

1 - (0.15)^n >= 0.92

where n is the number of calls. Solving for n, we get

n >= log(0.08) / log(0.15)

n >= 6.3979

Since n must be a whole number, we round up to n = 7.

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Answer:

Cylinder B has a greater volume

Step-by-step explanation:

Volume of a cylinder\(=\pi r^2h\)

Cylinder A

h=5m, r=3m

Volume

\(=3.14 *3^2*5\\=141.3m^3\)

Cylinder B

h=3m, r=5m

Volume

\(=3.14 *5^2*3\\=235.5m^3\)

Cylinder B has a greater volume.

Answer:

x ≥20

Step-by-step explanation:

Answer:

watxha doing

Step-by-step explanation:

The value of the expression is :

\([1 - \frac{1}{3} ] [1 - 14] [1 - 1/n] is (-\frac{26}{3} ) [(n-1)/n].\)

The given expression is:

\([1 - \frac{1}{3} ] [1 - 14] [1 - 1/n]\)

We are able to simplify each of the terms within the expression:

\([1 - \frac{1}{3} ] = \frac{2}{3}\)

[1 - 14] = -13

\([1 - \frac{1}{n} ] = (n-1)/n\)

Adding those values in to the original equation, we get:

\([1 - \frac{1}{3} ] [1 - 14] [1 - 1/n] = (\frac{2}{3} ) (-13) [(n-1)/n]\)

Simplifying similarly, we get:

\((\frac{2}{3} ) (-13) [(n-1)/n] = (-\frac{26}{3} ) [(n-1)/n]\)

Consequently, the value of the expression:

\([1 - \frac{1}{3} ] [1 - 14] [1 - 1/n] is (-\frac{26}{3} ) [(n-1)/n].\)

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Answer:

-1.5 = s

Step-by-step explanation:

Solve for s:

\(7=-10s-8\)

Add 8 to both sides

\(15=-10s\)

Divide by -10

\(-1.5=s\)

The equation does not have solution is 13−4x+2=3x−7x+2

An equation is a statement that equals two algebraic expressions with 'equal to' symbol (=).

consider the given equations,

10−3x−1=7+3x+2, x=0 is the solution for this equation.

12−7x−10=x−8x+2, all real values makes this equation true, so the solution is (-∞,∞)

13−4x+2=3x−7x+2 has no solution.

15−2x−2=10x+3x+2 , has solution \(x=\frac{11}{15}\).

Hence, equation with no solution is 13−4x+2=3x−7x+2.

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In an experiment, the variable being measured or tested is known as the dependent variable.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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The equation y = 3/5 x is graphed on a coordinate plane and attached

The equation is graphed using some points for the input which is x values and solving to get the y values

This is called the table of values used to plot on the coordinate plane

The table of values for y = 3/5 x is formed as follows

For x = -10, y = 3/5 * -10 = -6

For x = -5, y = 3/5 * -5 = -3

For x = 0, y = 3/5 * 0 = 0

For x = 5, y = 3/5 * 5 = 3

For x = 10, y = 3/5 * 10 = 6

table of values

x     y

-10  -6

-5   -3

0     0

5     3

6     6

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The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.

Answer:

not a right triangle

Step-by-step explanation:

you can use the pythagorean theorem to prove whether not this is a right triangle

if this triangle is a right triangle then the following equality should be true

a²+b²=c²

(9.75)²+(3.45)²=(10.24)²

(95.06)+(11.90)=(104.86)

106.96≠104.86

since the following equality is not true, this is not a right triangle.

Answer:

B. IS correct

Step-by-step explanation:

Answer:

last one option D

Step-by-step explanation:

We may get the same conclusion using either approach, which is that x—5 is a factor of the polynomial.

This will be discussed in further detail below.

Explain, taking into account the fact that, using either method, whether or not we can think of x-5 as a factor in the polynomial based on the given information.

Generally, the equation for the problem is mathematically given as

f(x)=x^3-x^2-17 x-15

Therefore,  If (x-5) is factor of f(x) then at x=5 ,f(x)=0 then apply this

\(\begin{aligned}f(x) &=5^3-5^2-17 \times 5-15 \\&=125-25-85-15 \\&=0\end{aligned}\)

In conclusion,Since f(x) is equal to 0 when x = 5, the factor of f is (x-5) (x).

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Answer:

The third angle must be 104

Step-by-step explanation:

The last angle is found by adding 51 and 25 and the subtracting it from 180

Answer:

104°

Step-by-step explanation:

According to angle sum property of a triangle , sum of all the angles of triangle is equal to 180°.

So, let the third angle be 'x'. According to angle sum property of triangle ,

\(x + 25 + 51 = 180\)

\( = > x + 76 = 180\)

\( = > x = 180 - 76 = 104\)

Answer:

1759 ft

Step-by-step explanation:

Arc length = \(r \theta\)

\(\implies 840 \times \dfrac23\pi =560\pi\)

= 1759 ft (to the nearest foot)

The correct answer is Point A onto Point D, and AB onto DE.Since the triangles are congruent, we know that they have the same shape and size.

what is  congruent?

In mathematics, congruent means having the same size and shape. In geometry, two figures are congruent if they have the same size and shape, which means that all corresponding sides and angles are equal.

In the given question,

Based on the given information, we know that triangle ABC and triangle DEF are distinct acute triangles such that ZBZE. We are also told that AABC is congruent to ADEF, and we need to determine which sequence of rigid motions maps the triangles onto each other.

The correct answer is Point A onto Point D, and AB onto DE.

Since the triangles are congruent, we know that they have the same shape and size. Therefore, we need to find a sequence of rigid motions that will map one triangle onto the other.

The first step is to map point A onto point D, which can be done with a translation. The second step is to map AB onto DE, which can be done with a rotation about point D. This sequence of rigid motions will map triangle ABC onto triangle DEF.

Option 1, ZA onto ZD and ZC onto ZF, does not necessarily map the rest of the triangles onto each other.

Option 2, AC onto DF and BC onto EF, is incorrect because it only maps two sides of the triangle and does not guarantee congruence.

Option 4, ZC onto ZF and BC onto EF, also does not necessarily map the rest of the triangles onto each other.

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Answer: Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Step-by-step explanation:

Given that;

U = 75

X = 78

standard deviation α = 10

sample size n = 20

population is normally distributed

PROBLEM is to test

H₀ : U = 75

H₁ : U ≠ 75

TEST STATISTIC

since we know the standard deviation

Z =  (X - U) / ( α /√n)

Z = ( 78 - 75 ) / ( 10 / √20)

Z = 1.3416 ≈ 1.342

Now suppose we need to test at ∝ = 0.05 level of significance,

Then Rejection region for the two tailed test is Zc = 1.96

∴ Reject H₀ if Z > Zc

and we know that Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Testing the hypothesis, it is found that since the p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.

At the null hypothesis, we test if the mean is of 75, that is:

\(H_0: \mu = 75\)

At the alternative hypothesis, we test if the mean is different of 75, that is:

\(H_1: \mu \neq 75\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which:

For this problem, we have that:

\(X = 78, \mu = 75, \sigma = 10, n = 20\)

The value of the test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{78 - 75}{\frac{10}{\sqrt{20}}}\)

\(z = 1.34\)

Since this is a two-tailed test, the p-value of the test is P(|z| < 1.34), which is 2 multiplied by the p-value of z = -1.34.

Looking at the z-table, z = -1.34 has a p-value of 0.0901.

2(0.0901) = 0.1802

The p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.

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Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

.5 meters

Step-by-step explanation:

Well we know each centimeter is .01 of a meter so 50 * .01 is .5

There is .5 meters of wood in together

Answer:

2 meters

Step-by-step explanation:

there are 100 cm in a meter. 4 x 50cm = 200cm

so 2 meters.

The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.

To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) =  = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.

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Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold r raffle tickets each. The expression is multiplication.

Answer:

D: (1, .5)

A: (-1.5,0)

C: (-1,-2.5

Step-by-step explanation:

I think I just woke up couple mins ago

Point D: ( 1, 0.5)

Point A: (-1.5, 0)

Point C: (-1, -2.5)

Hopefully, it correct. Mark me Brainiest, please.

Answer:

-14

Step-by-step explanation:

Translate the words to an equation

6(\(\frac{x}{2}\) + 12) = 30

Divide both sides by 6

\(\frac{x}{2}\) + 12 = 5

Multiply both sides by 2

x + 24 = 10

Subtract 24 from both sides

x = -14

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

Answer: Its spring break relax PLS

Step-by-step explanation: