Step-by-step explanation:
Steps of Construction
(i) Draw ray AB.
(ii) Construct ∠BAC = 60°.
(iii) Construct ∠BAD = 90°.
(iv) Bisect ∠CAD, so that ∠CAE = ∠EAD = 15°.
(v) We obtain ∠BAE = ∠BAC + ∠CAE = 60° + 15° =75°.
Hope this Helps!!!!
A teacher believes that her students write longer essay responses when they type versus when they handwrite. She decides to compare the number of words students write in a typed response to the number of words they write in a comparable handwritten response to test her claim.
Student Handwritten Word Count Type Word Count
1 202 253
2 180 210
3 289 230
4 300 311
5 178 185
6 195 214
7 261 242
8 196 220
9 245 258
Which of the following best describes the effect of students typing instead of handwriting their responses, given a significance level of 0.05?
A. With a t score of Negative 0.8137; and a P-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
B. With a t score of Negative 0.8137 and a P-value of 0.04371, there is sufficient evidence to reject the null hypothesis. This indicates that typing significantly increases the number of words that students write.
C. With a t score of Negative 0.8137 and a P-value of 0.04371, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
D. With a t score of Negative 0.8137 and a P-value of 0.21987, there is sufficient evidence to reject the null hypothesis. This indicates that typing significantly increases the number of words that students write.
Answer:
The answer is A. With a t score of -0.8137, and a p-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
Step-by-step explanation:
Answer choices B and C are not correct because this is a one-tailed test and it isn't answer choice D because the p-value is greater than the significance level which means there is NOT sufficient evidence to reject the null hypothesis.
what is the equstion of s line with a y-intercept of -5 and a slope of 8
Answer:
y = 8x - 5
Step-by-step explanation:
Given:
Slope: 8Y-intercept: -5To find:
Equation.How to find:
The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).
The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".
Make sure to use the formula:
y = mx + b
Now we insert.
y = 8x <---------- slope
y = 8x - 5 <------ y-intercept and completed slope-intercept equation.
The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.
Answer:
y = 8x - 5
Step-by-step explanation:
because if its has a slope of 8 then m is 8
if the y intercept is -5 the b is -5
y = mx + b
y = 8x -5
anyone know how to do exponential functions?
Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
exponential function : y = a(b)^x
where a = y intercept and b = factor ( number you are multiplying by )
according the the graph the y intercept is a 1 so a = 1
we now have y = 1(b)^x
to find the factor you plug in one of the ordered pairs into y = 1(b)^x
the ordered pair you use will not effect the outcome, i have chose (2,9)
y = 1(b)^x
(x,y) = (2,9) so x = 2 and y = 9
9 = 1(b)^2
divide both sides by 1
9 = (b)^2
take the square root of both sides
3 = b
the final equation is y = 1(3)^x or just y = 3^x
30 points Select the expression that has a sum of seventy four hundredths.
A Seventy hundredths plus four tenths
B sixty eight-hundredths plus six tenths
C six tenths plus twelve hundredths
D four-tenths plus thirty four hundredths
Answer:
A, If you still need help
Sandy made 8 friendship bracelets. She gave 1 bracelet to her best friend and 5 bracelets to her friends on the tennis team. What fraction represents the total number of bracelets Sandy gave away?
Answer:
6/8
Step-by-step explanation:
A student drops a rock over the edge of the well and hears it splash into water after 3 seconds. Write a function in the form h(t) = − 16t2 + v0 t + h0 to determine the height of the rock above the bottom of the well t seconds after the student drops the rock. What is the distance from the surface of the water to the bottom of the well?
Answer:
h(t) = -16t² + 200
distance = 56 ft
Step-by-step explanation:
First of all, we know that the initial velocity (v0) of the rock is 0 ft/s because the rock was dropped. We also know that the initial height of the rock is 200 ft because it was dropped at the top of the well which is 200 ft high. Plugging this information into our quadratic function we get h(t) = -16t² + 200.
Now we need to find the distance from the surface of the water to the bottom of the well. This distance is equal to the height of the rock at time equals 3 seconds. Therefore, all we need to do is find h(3) = -16(3)² + 200 = 56 ft.
will give brainliest need help asap
Answer:
I'll only answer the 1st one: 17 cubed / square root of 12
Step-by-step explanation:
Figure the rest out yourself.
After a long hike in a state park, danielle decides to relax at the beach. The parking permit she purchase allows her to park at any state beach without paying again. While consulting a map, danielle notices that the closest state beach is 4 centimeters way from thepark. How far apart are the state park and the closest state beach in real life if the map uses a scale of 1 centimeter = 2 kilometers
Answer:
8 km
Step-by-step explanation:
Danielle can multiply the scale values by 4 to find the real life distance between the park and the beach.
1 cm : 2 km . . . . . given scale values
4 cm : 8 km . . . . . multiply values by 4
The state park and state beach are 8 km apart.
30 points !!!!!!!!!!!! HELPPPP!!!!!!!!! SIMPLIFY THE EXPRESSION!!!!!!!!!!!
(9ab^-5)^-2
Answer:
[tex]\frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]
Step-by-step explanation:
[tex](9ab^{-5})^{-2} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{ - 5( - 2)} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{10} \\ \\ = \frac{ {b}^{10} }{ {9}^{2} {a}^{2} } \\ \\ \huge = \frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]
can someone help me with this geometry question I will mark brainliest.
Can someone slove this equation system please????
Answer:
Step-by-step explanation:
Multiply the top equation by 3.
3*(x - y)/3 = 0.5 * 3
(x - y) = 1.5
There is no single solution that satisfies this system. There infinitely many values for x and y that will work. The only restriction is that x - y = 1,5
So if you make y = 3
x - 3 = 1.5 Add 3 to both results
x - 3 + 3 = 1.5 + 3 Combine
x = 4.5
Infinitely many solutions exist.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS
Answer: Angle LPO
Step-by-step explanation:
pls answer pls thx thx thx
The diagram illustrates congruent and complementary angles
The congruent statement [tex]\angle C \cong \angle P[/tex] is true
How to prove the congruent statementThe given parameters are:
Angles C and O are complementary angles
Angles P and M are complementary angles
[tex]\angle O \cong \angle M[/tex]
The statement [tex]\angle O \cong \angle M[/tex] means that, angles O and M are congruent angles.
From the figure, we have:
[tex]\angle C = 90 - \angle O[/tex]
Also, we have:
[tex]\angle P = 90 - \angle M[/tex]
Recall that: [tex]\angle O \cong \angle M[/tex]
So, we have:
[tex]\angle P = 90 - \angle O[/tex]
By comparison, we have:
[tex]\angle C \cong \angle P = 90 - \angle O[/tex]
Hence, the statement [tex]\angle C \cong \angle P[/tex] has been proven
Read more about angle proofs at:
https://brainly.com/question/1788884
Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
The sum of two numbers is -3. The difference of the two numbers is 11. What are the numbers?
11
-4
-7
-11
7
4
Answer: -7 and 4
Step-by-step explanation:
A consumer charges a $46. 92 purchase on a credit card. The card has a daily interest rate of 0. 39%. If the consumer pays off the balance at the end of 30 days, how much in interest will be paid for the purchase? a. $0. 06 b. $0. 18 c. $0. 55 d. $5. 49 Please select the best answer from the choices provided. A B C D.
The interest paid for the credit card purchase will be equal to $5.49
What will be the interest on the credit card purchase?It is given that
Credit card purchase cost = $46. 92
Daily interest = 0.39%
Total interest for 30 days = [tex]0.39\times30=11.7[/tex]%
So the total interest paid will be given by
[tex]=\dfrac{11.7\times46.92}{100}=5.489[/tex]
Thus the interest paid for the credit card purchase will be equal to $5.49
To know more about Simple Interest follow
https://brainly.com/question/25793394
What is the solution to the equation?
x^2=40
Will give brainliest if correct and explained!!
Answer:
x= 6.324555320
Step-by-step explanation:
X^2=40
1. Square root both sides
2. You should be left with x=6.32....
Solution: √40 = x
So basically, you have to find x, which is raised to the power of two. To find that, we'll have to square root 40 because square rooting a number is the opposite of squaring a number
So 40 squared = 6.32455532034
A really long number...
Now, let's check our answer
6.32455532034^2 = 40
So therefore, x = 6.32455532034
Hope this helped!!
write an equation for the function that includes the points (2, 100) and (3, 1000)
Answer:
y=900x-1700
Step-by-step explanation:
(sorry if the explanation is long)
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,100), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=100.
Also, let's call the second point you gave, (3,1000), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=1000.
Now, just plug the numbers into the formula for m above, like this:
m=
1000 - 100
3 - 2
or...
m=
900
1
or...
m=900
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=900x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(2,100). When x of the line is 2, y of the line must be 100.
(3,1000). When x of the line is 3, y of the line must be 1000.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=900x+b. b is what we want, the 900 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,100) and (3,1000).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(2,100). y=mx+b or 100=900 × 2+b, or solving for b: b=100-(900)(2). b=-1700.
(3,1000). y=mx+b or 1000=900 × 3+b, or solving for b: b=1000-(900)(3). b=-1700.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(2,100) and (3,1000)
is
y=900x-1700
Answer:
y=900x-1700
Step-by-step explanation:
(sorry if the explanation is long)
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,100), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=100.
Also, let's call the second point you gave, (3,1000), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=1000.
Step-by-step explanation:
this is correct
At a restaurant, you order an appetizer for $5.25, a meal for $12.75, and a drink for $2.99. If the sales tax is 9%, what is the total of your bill including sales tax?
Answer:
$22.88
Step-by-step explanation:
The total bill is the subtotal plus tax. The tax is computed by multiplying the tax rate by the subtotal, which is the total of all items being billed.
subtotal = $5.25 +12.75 +2.99 = 20.99
tax = $20.99 × 0.09 = $1.89
The total bill is ...
subtotal + tax = $20.99 +1.89 = $22.88
Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
Answer:
72mm
Step-by-step explanation:
it is 72mm because there are 6 cubes and they each are 12mm so you do 6*12 witch is 72
what is the square root of 5555555
Answer:
The square root is 2357.0224861
The area of a triangle with base b and height h is bh. Larry painted a mural of different
foods on the wall of the school lunchroom. He painted a triangular tortilla chip with a 15-inch
base and a 10-inch height.
What is the area of Larry's tortilla chip?
Answer:
75
Step-by-step explanation:
The area of a triangle with base b and height h is
1
2
bh. You want to find the area of a triangle with base b=15 inches and height h=10 inches.
Evaluate the expression
1/2
bh for b=15 and h=10
1/2
bh=1/2
(15)(10)
=1/2
(150)
=
75
The area of Larry's tortilla chip is 75 square inches.
Ceaser had $60. He spent $36.90 on a pair of shoes and the rest on a shirt. What percent of his money did he spend on the shoes
Answer:
61.5%
Step-by-step explanation:
The percent of his money that he spent on the pair of shoes is [tex]\frac{36.90}{60} \cdot 100% = 61.5%[/tex]
if g(x) = 8x^6 and f(x) = log4 (2x) then f(g(x)) = ?
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} g(x)=8x^6\\\\ f(x)=\log_4(2x) \end{cases}\qquad \qquad \begin{array}{llll} f(~~g(x)~~)=\log_4[~2g(x)~] \\\\\\ f(~~g(x)~~)=\log_4[~2(8x^6)~] \end{array} \\\\\\ f(~~g(x)~~)=\log_4(16x^6)\implies f(~~g(x)~~)=\log_4(4^2x^6) \\\\\\ f(~~g(x)~~)=\log_4(4^2)~~ + ~~\log_4(x^6)\implies \boxed{f(~~g(x)~~)=2~~ + ~~6\log_4(x)}[/tex]
Each bag of apples is 8 pounds. How many ounces are in 3 bags of apples?
Answer:
1 bag = 8 pounds
1 pound = 16 ounces
8 pounds = 128 ounces
3 bags = 128 x 3
=72 ounces
Could the triangle shown be a right angle YES or NO
Answer:
yes it is the right angle
Solve the quadratic equation by completing the square.
x^2-8x + 10 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Answer:
[tex]x =4 + \sqrt{6}, \: \: 4 - \sqrt{6}[/tex]
Step-by-step explanation:
[tex]x^2-8x + 10 = 0 \\ \\ \implies \: x^2-2(x)(4) + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - {(4)}^{2} + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - 16 + 10 = 0\\ \\ \implies \: (x - 4)^2 - 6= 0\\ \\ \implies \: (x - 4)^2 = 6\\ \\ \implies \: x - 4 = \pm \sqrt{6} \\ \\ \implies \: x = 4 \pm \sqrt{6} \\ \\ \implies \: x =4 + \sqrt{6}, \: \: x =4 - \sqrt{6}[/tex]
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Someone answer Part B please!
Compare to y=mx+b
Slope=m=0.03Here slope described the rate of change happened to the price of milk
can someone please explain how to do this
Answer: 3×10^10m
Step-by-step explanation:
In 1 second it travels 3 ×10^8m
in 100 second it travels 3×10^10 m
Gavin drives at a speed of 70 miles per hour.
How long will it take to drive 245 miles?
Answer:
he will spend all his money on gas and not make it down the block