Mathematics High School

I can’t figure this out please help ASAP :)

Answers

Answer 1

The area is 9 sq. units

Answer 2

Answer:

9 sq units

Step-by-step explanation:

triangle formula is 1/2B*H

Related Questions

a random sample of 150 recent donations at a certain blood bank reveals that 82 were type a blood. does this suggest that the actual percentage of type a donations differs from 40%, the percentage of the population hav-ing type a blood? carry out a test of the appropriate hypotheses using a significance level of .01. would your conclusion have been

Answers

Therefore ,we reject H₀ Percentage of type A blood donations differs from 40% (percentage of population having type A blood)

Specify the hypothesis.

According to the scientific method, a theory cannot be regarded as scientific unless it has been tested. The majority of scientific hypotheses are based on observations from the past that cannot be adequately explained by the state of knowledge at the time.

Here,

We are going to develop a proportion test.

Information we have:

Proportion P₀ = 40 % P₀ = 0,4 (percentage of population having type A blood)

Sample size n = 150

Sample mean P = 82/ 150 P = 0,5466

As P₀ = 0,4 Q₀ = 0,6 P₀*Q₀ = 0,24

1.-Test Hypothesis:

H₀ null hypothesis P₀ = 0.4

Hₐ alternative hypothesis P₀ ≠ 0.4

2.- signficance level

a ) α = 0.01 we have a two tail-test α/2 = 0.005

b ) α = 0.05 α/2 = 0.025

Then from t-student table we get t(c) n = 150 df = 149

a ) α/2 = 0.005 t(c) = 2.581

b ) α/2 = 0.025 t(c) = 1.962

3.-Compute t(s)

t(s) = ( P - P₀ ) / √P₀Q₀/n

Plugging in known values

t(s) =[ ( 0.5466 - 0,4 )*√150 ] / √0.24

t(s) = 0,1466 * 12.25 / 0.4899

t(s) = 3.6657

Compare t(s) and t(c)

t(s) > t(c) 3.6657 > 2.581

Then t(s) is out of the acceptance region we reject H₀.

Simple inspection led us see that for

α/2 = 0.025 t(c) = 1.962

The situation is the same

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When you simplify an algebraic expression like a53⋅a14 , you know that the bases of the expressions must be the same. You also need to rewrite the exponents so that they have a common denominator. Explain why you need to find the common denominator to simplify

Answers

To simplify, you must add the exponents. To add or subtract fractions, the denominator must be the same.

In expression $a^\frac{5}{3}$ and $a^\frac{1}{4}$ if you have to solve this you have to first add them according to the rule of indices ($a^2 * a^4 = a^6$).

$a^\frac{5}{3} * a^\frac{1}{4} = a^\frac{5*4 + 3*1 }{4*3} \\\\a^\frac{20 + 3}{12} \\\\a^\frac{23}{12}$

The components of a number array are described using index notation in both mathematics and computer programming. Using indices has varying degrees of formality depending on the subject. Specifically, depending on whether one is writing a formal academic article for publication or when one is building a computer program, there are several ways to refer to the components of a list, a vector, or a matrix.

Exponentiation is a mathematical operation that involves the base b and the exponent or power n. It is written as bⁿ and is pronounced as "bⁿ." Exponentiation corresponds to base multiplication when n is a positive integer; therefore, bⁿ is the result of multiplying n bases:

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Use the multiplier method to decrease £262 by 39%
You must show your working,
I

Answers

Answer:

$159.82

Step-by-step explanation:

Pretty sure thats right.

three and three fourths minus one and two fourths equals
a
one fourth

b
three fourths

c
1

d
two and one fourth

Answers

Answer:

d. two and one fourth

Step-by-step explanation:

3 3/4 - 1 2/4 = 2 1/4

2 1/4

i hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you mark me as brainliest pls

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Graph the exponential function
f(x)=2/5)x

Answers

Answer:

Step-by-step explanation:

Graph the exponential function f(x)=2/5)x

As Felicia gets on the freeway to drive to her cousin's house, she notices that she is a little low on
gas. There is a gas station at the exit she normally takes, and she wonders if she will have to get
gas before then. She normally sets her cruise control at the speed limit of 70mph and the freeway
portion of the drive takes about an hour and 15 minutes. Her car gets about 30 miles per gallon
on the freeway, and gas costs $3.50 per gallon.
a. Describe an estimate that Felicia might do in her head while driving to decide how many
gallons of gas she needs to make it to the gas station at the other end.

Answers

A. To estimate the amount of gas she needs, Felicia calculates the distance traveled at 70 mph for 1.25 hours. She might calculate
70⋅1.25=70+0.25⋅70=70+17.5=87.5 miles.

Since 1 gallon of gas will take her 30 miles, 3 gallons of gas will take her 90 miles, a little more than she needs. So she might figure that 3 gallons is enough.

Or, since she is driving, she might not feel like distracting herself by calculating 0.25⋅70 mentally, so she might replace 70 with 80, figuring that that will give her a larger distance than she needs. She calculates
80⋅1.25=80+14⋅80=100.

So at 30 miles per gallon, 313 gallons will get her further than she needs to go, so should be enough to get her to the gas station.

B. Since Felicia pays $3.50 for one gallon of gas, and one gallon of gas takes her 30 miles, it costs her $3.50 to travel 30 miles.

$3.5030 miles≈$0.121 mile, meaning it costs Felicia 12 cents to travel each mile on the freeway.

Estimation involves using a convenient value, close to the actual value, for calculations; especially in the absence of a calculator. The estimated number of gallons she needs to get to the station is 3 gallons.

Given that:

$Speed= 70mph$

$Time = 1.25hr$ ---- equivalent of 1hr 15mins

$Rate = 30 m/gallon$

First, she will need to estimate the distance she can cover using:

$Distance= Speed \times Time$

An estimate of the calculation is:

$Distance= 70mph \times 1.5 = 105m$

The number of gallons is then estimated as follows:

$Gallons = D ista nce\div Rate$

Because the estimated distance is 105 m; she can use 35 as an estimate the rate of miles per gallon; instead of 30

$Gallons = 105m \div 35m/gallon$

$Gallons = 3gallon$

So, the estimated number of gallons she needs is 3 gallons.

We can check if the estimate is true or close by calculating the actual values.

$Distance= Speed \times Time$

$D i s t a n c e= 70mph \times 1.25hr=87.5m$

$Gallons = D ista nce\div Rate$

$Gallons = 87.5m \div 30m/gallon =2.92m$

Hence, the estimated number of gallons she needs to get to the station is 3 gallons.

Answers

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Is the instructor claim valid?

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

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No, the instructor's claim is NOT valid. See the explanation below.

The explanation

To test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

p is the sample proportion of students who have improved their driving distance by at least 20 yardsp₀ is the hypothesized proportion of students who would be expected to improve their driving distance by at least 20 yards if the instructor's claim was not validσ is the standard error of the sample proportion

σ = √(p₀(1 - p₀) / n)

where:

p₀ is the hypothesized proportion of students who would be expected to improve their driving distance by at least 20 yards if the instructor's claim was not validn is the sample size

Since p =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

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Aron invests £1500 into a savings account with 2. 15% compound interest per year. If he doesn't withdraw any money, how much will he have in the account after 5 years?

Answers

After 5 years, Aron will have £1,724.82 in the savings account. Aron invests £1500 as the principal amount with an annual interest rate of 2.15% (or 0.0215 as a decimal).

To calculate the amount in Aron's savings account after 5 years with compound interest, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, Aron invests £1500 as the principal amount with an annual interest rate of 2.15% (or 0.0215 as a decimal). The interest is compounded once per year, so n = 1. Aron plans to leave the money in the account for 5 years, so t = 5.

Substituting the given values into the compound interest formula, we have:

A = £1500(1 + 0.0215/1)^(1*5)

Simplifying the exponent:

A = £1500(1 + 0.0215)^5

Calculating the values within parentheses:

A = £1500(1.0215)^5

Evaluating the exponent:

A = £1500(1.11036)

Multiplying:

A ≈ £1,665.54

Therefore, after 5 years, Aron will have approximately £1,665.54 in the savings account.

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please answer
u dont need a explanation

Answers

The answer is D

Hope this helped

5
Which of those points does not lie on the line y = 3x + 5*
(1 Point)
O (1,8)
O (4, 17)
O (-2, 11)
0 (0,5)

Answers

Answer:

point (-2,11) does not lie on the given line

Step-by-step explanation:

To find : Which of the following points does not lie on the line ?

Solution :

To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.

a) Point (1,8)

Line y=3x+5

Substitute x=1 and y=8

8=3(1)+5

8=8

(1,8) point lie on the line.

b) Point (4,12)

Line y=3x+5

Substitute x=4 and y=17,

17=3(4)+5

17=12+5

17=17

(4,17) point does not lie on the line.

c) point (-2,11)

Line y=3x+5

substitute x=-2 and y=11

11=3(-2)+5

11=-6+5

11 is not equal to -1

d) Point(0.5)

Line y=3x+5

Substitute x=0 and y=5

5=3(0)+5

5=5

Derivations (20 marks): For each of the questions in this section provide a derivation. Other methods will receive no credit i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)
ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks) iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Answers

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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Assuming the amount of money college students spend on text books each semester is symmetrical with a mean of 500 and a standard deviation of 50. Jane paid $550 for her books and wants to know what percentage of students paid MORE than she did for textbooks. So, what percentage of students paid MORE than Jane

Answers

the statement that approximately 15.87% of students paid more than Jane for textbooks, it means that out of a given group of students, around 15.87% of them paid a higher price for textbooks compared to what Jane paid.

To find the percentage of students who paid more than Jane for textbooks, we need to calculate the area under the normal distribution curve to the right of Jane's value. Here are the steps:

Step 1: Standardize Jane's value using the z-score formula:

z = (x - μ) / σ

Where:

x = Jane's value ($550)

μ = Mean of the distribution ($500)

σ = Standard deviation of the distribution ($50)

z = (550 - 500) / 50

z = 50 / 50

z = 1

Step 2: Find the percentage of students who paid more than Jane by looking up the z-score in the standard normal distribution table or using a calculator. The standard normal distribution table provides the percentage of the area under the curve to the left of a given z-score. Since we want the percentage of students who paid more than Jane, we subtract the percentage from 1. Using the z-score of 1, we can find the percentage as follows:

Percentage = (1 - Area to the left of z-score) * 100

Using the standard normal distribution table or a calculator, we find that the area to the left of a z-score of 1 is approximately 0.8413.

Percentage = (1 - 0.8413) * 100

Percentage ≈ 15.87%

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GEOMETRY) Please solve for X! plspls

Answers

Step-by-step explanation:

so the answer is would be X = 15

Correct !!!!!!!!!! Please give me thanks

What is the surface area of the box shown by the pattern below?

Answers

Solution:

Given the figure below:

The above figure, when closed, results into a cuboid.

This can be proven in the diagram below:

where the cuboid has

$\begin{gathered} \text{length}=7\text{ units} \\ \text{width}=5\text{ units} \\ \text{height}=2\text{ units} \end{gathered}$

The surface area of a cuboid is expressed as

$\begin{gathered} \text{Area = 2(L}\times W)+2(L\times H)+2(H\times W) \\ \text{where} \\ L\Rightarrow\text{length} \\ W\Rightarrow\text{width} \\ H\Rightarrow\text{height} \end{gathered}$

Thus, the surface area of the cuboid is evaluated as

$\begin{gathered} \text{Area = 2(L}\times W)+2(L\times H)+2(H\times W) \\ =2(7\text{ units}\times5\text{ units)+2(7 units}\times2\text{ units)+2(2 units}\times5\text{ units)} \\ =2(35\text{ square units)+2(14 square units})+2(10\text{ square units)} \\ =(70+28+20)\text{ square units} \\ =118\text{ square units} \end{gathered}$

Hence, the surface area of the box is

$118\text{ square units}$

The correct option is D.

A function is shown: f(x) = 16x2 − 1.

Choose the equivalent function that best shows the x-intercepts on the graph.

f(x) = (4x + 1)(4x − 1)
f(x) = (8x + 1)(8x − 1)
f(x) = 4(x2 + 1)
f(x) = 8(x2 − 1)

Answers

The equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x + 1)(4x -1)

How to determine the equivalent function?

The function is given as:

f(x) = 16x^2 - 1

Express 16 as 4^2 and 1 as 1^2

f(x) = (4x)^2 - 1^2

Apply the difference of two squares

f(x) = (4x + 1)(4x -1)

Hence, the equivalent function of f(x) = 16x^2 - 1 is f(x) = (4x + 1)(4x -1)

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Determine the type of fee that will be charged in each situation. Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade. Reggie’s broker charged him a front-end load of 2. 75% when he purchased a fund. John’s broker provided him with stock-trading software to manage his trading. Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year. Joanne’s brokerage firm charged her for providing investment information

Answers

Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

time (x) 16 32 48 64 distance (y) 6 12 18 24

Answers

Answer:

what´s the question????

Step-by-step explanation:

in is 26 miles into a 62-mile backpacking trip in the wilderness. Jin ca
ike 6 miles per day. How many more days does Jin need to finish?
Jin needs how many
more days.

Answers

Answer:6 days

Step-by-step explanation:

62-26=36

36/6=

6(7-5) jkwjwjnwnwnnenenenenenne

Answers

12 is the answer 6x2 basically

Hello can someone send me some documment for geometry where are the signs explained(Like )

Like in the attachment at the right

Thanks for answers

Answers

Answer:

https://revisionmaths.com/gcse-maths-revision/shape-and-space/vectors

i find this helpful- hope u do too (can u mark my answer as brainliest?)

HELP PLEASE IM BEING TIMED

Answers

its 2 cause 5 times x has to be 10 for it to equal 20 and also distributive property

if a/b and c/d are rational expressions, then a/b divided by c/d=a•d/b•c

Answers

The expression a/b ÷ c/d = ad/bc is A. true.

To show that if a/b and c/d are rational expressions, then a/b ÷ c/d = ad/bc

Rational Expressions

Rational expressions are expressions of the form a/b where a and b are integers and b ≠ 0

If the rational expression a/b is to be divided by c/d, we take the reciprocal of the expression on the right side of the division sign.

So, L.H.S = a/b ÷ c/d

= a/b × 1/(c/d)

= a/b × d/c

= ad/bc

= R.H.S

Since L.H.S = R.H.S.

a/b ÷ c/d = ad/bc

So, the expression a/b ÷ c/d = ad/bc is A. true.

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can someone please help

find slope/rate of change
a. 1/3
b. 3
c. 30
d. 10

Answers

Answer:

Answer should be 1/4, since it's not there I would suggest 1/2.

Step-by-step explanation:

Its rise/run therefore it going up one and moving four.

Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees. What is the value of x? 4 8 24 32

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

. (a) For any metric space X, prove that there exists a metric space Y and an isometry f: X→ Y such that f(X) is not an open subset of Y. (b) Prove or disprove: If (X, d) is a compact metric space and f: (X,d) → (X, d) [3] is an isometry, then f is onto.

Answers

(a) To prove that for any metric space X, there exists a metric space Y and an isometry f: X→ Y such that f(X) is not an open subset of Y.

(a) Let X be a metric space. Consider Y = X with the same metric as X. Define the function f: X→ Y as the identity function, where f(x) = x for all x in X. Since f is the identity function, it is an isometry. However, f(X) = X, which is the entire space Y and is not an open subset of Y. Thus, we have shown the existence of a metric space Y and an isometry f: X→ Y such that f(X) is not an open subset of Y.

(b) The statement is true. Suppose (X, d) is a compact metric space and f: (X,d) → (X, d) is an isometry. To prove that f is onto, we need to show that for every y in X, there exists x in X such that f(x) = y. Since f is an isometry, it is a bijective function, meaning it is both injective and surjective. Therefore, f is onto.

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Y = 17x - 8, y = 24x +6 Parallel Perpendicular Neither

Answers

Two parallel lines in the coordinate system share the same slope, this means that if you have two parallel lines:

$\begin{gathered} y_1=m_1x_1+b_1 \\ y_2=m_2x_2+b_2 \\ \text{Their slopes must be equal:} \\ m_1=m_2 \end{gathered}$

For the given equations, the slopes are:

$\begin{gathered} y=17x-8 \\ m=17 \end{gathered}$$\begin{gathered} y=24x+6 \\ m=24 \end{gathered}$

The slopes are different, so this lines are not parallel.

Two lines are perpendicular, when the slope of one of them is the negative inverse of the first one, this is for the perpendicular lines:

$\begin{gathered} y_1=m_1x_1+b_1 \\ y_2=m_2x_2+b_2 \\ m_2=-\frac{1}{m_1} \end{gathered}$

For the given equations, using y=17x-8 as reference, the slope of a line perpendicular to this one must be:

$m_{}=-\frac{1}{17}$

The slope of a perpendicular line to y=17x-8 is different from the slope of the second given line, so you can conclude that these lines are not perpendicular.

The correct choice is Neither

Bryce puts $100.00 into an account to use for schopl expenses. The account earns 3%
interest, compounded annually. How much will be in the account after 7 years?

Help!!!

Answers

Answer:

A = $122.99

Step-by-step explanation:

A = P + I where

P (principal) = $100.00

I (interest) = $22.99

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 100.00(1 + 0.03/1)(1)(7)

A = 100.00(1 + 0.03)(7)

A = $122.99

Therefore:

The total amount accrued on a principal of $100.00 at a rate of 3% per year compounded 1 time per year over 7 years is $122.99.

What is the absolute value of -|-4| ?

Answers

Answer:

- 4

Step-by-step explanation:

the absolute value function always give a positive result , that is

| - a | = | a | = a

then

- | - 4 | = - | 4 | = - 4

Evaluate 2r + 1 if r=3

Answers

Answer:

Step-by-step explanation:

2r + 1

Let r = 3

2(3)+1

6+1

Step-by-step explanation:

We have,

r = 3

$\sf 2r+1$

Put the value of r,

$\longmapsto \sf 2(3)+1$

$\longmapsto \sf 6+1$

$\longmapsto \sf 7$

a salesman receives a fixed salary of $500 per week. in addition, he receives a 12% commision on his weekly revenue after the first $1000. write the formula that describes how his weekly salary s depends on his weekly revenue r.

Answers

The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.

Step-by-step explanation:

The formula that describes how the salesman's weekly salary s depends on his weekly revenue r is:

s = $500 + 0.12(r - $1000)

In this formula, s represents the salesman's total weekly salary, which includes both the fixed salary of $500 and the commission based on his weekly revenue. r represents the salesman's weekly revenue.

The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.

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