Answer: True, False, True
Step-by-step explanation:
To determine steepness, compare the coefficients of each function:
f(x) = 4x² coefficient is: 4
g(x) = [tex]\dfrac{15}{4}x^2[/tex] coefficient is: 4.75
h(x) = [tex]\dfrac{4}{15}x^2[/tex] coefficient is: 0.27
f(x) ??? h(x)
4 > 0.27
f(x) is steeper than h(x)
h(x) ??? g(x)
0.27 < 4.75
h(x) is LESS steep than g(x)
g(x) ??? f(x)
4.75 > 4
g(x) is steeper than f(x)
Consider the diagram what is the length of segment ab
The length of segment AB is 9 units. So the answer is B) 9.
To find the length of segment AB, we can use the angle bisector theorem, which states that in a triangle, the length of the angle bisector from a vertex to the opposite side is proportional to the lengths of the two segments of that side.
Let's denote the length of AB as x.
Given that BC = 9 units and B is the midpoint of AC, AC = BC = 9 units.
Given that AD = 16 units.
Since B is the midpoint of AC, we can deduce that AB = BC = 9 units.
Therefore, the correct answer is B) 9.
Complete and correct question:
'Consider the diagram. What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25
The table shows a proportional relationship.
2 2.8
4 5.6
6 8.4
8 11.2
Complete the equation that represents the table. Enter your answer as a decimal in the box.
y = ____ x
Answer:
1.4
Step-by-step explanation:
im 100% right here is the proof
Kelly's basketball team made a total of 33 two point and three point baskets in their game last week. If her team scored a total of 72 points, how many two point baskets did they make
What is the approximate solution to the equation 2t=38 ? 0.1906 3.6380 5.2479 19.0000
Answer:
The answer is 19.0000. 38 divided by two = t. (19)
Step-by-step explanation:
The approximate solution of an equation is simply an estimate of the solution.
The approximate solution of 2t = 38 is (d) 19.0000
The equation is given as:
[tex]\mathbf{2t =38}[/tex]
Start by dividing both sides of the equations by 2
[tex]\mathbf{\frac{2t}{2} =\frac{38}2}[/tex]
Divide 2t by 2, to give 2
So, we have
[tex]\mathbf{t =\frac{38}2}[/tex]
Divide 38 by 2 to give 19
[tex]\mathbf{t =19}[/tex]
From the list of given options, 19.0000 approximates to 19.
So, the solution of the equation can be rewritten as:
[tex]\mathbf{t =19.0000}[/tex]
Hence, the approximate solution is (d) 19.0000
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ABC is a straight line. the length of AB is four times the length of BC. AC = 75cm. work out the length of AB.
Answer:
AB = 60 cm
Step-by-step explanation:
AB + BC = AC
let the length of BC = x then AB = 4x, hence
4x + x = 75
5x = 75 ( divide both sides by 5 )
x = 15
AB = 4x = 4 × 15 = 60 cm
Given to us,
ABC is a straight line,
the length of AB is four times the length of BC,
AC = 75cm.
Equation 1As given to us, the length of AB is four times the length of BC. therefore, we can write it as, AB = 4(BC), which is equation 1 for us.
Equation 2Also, the length of the ABC will be constant. therefore, 75 cm. and the line AB and BC will together form the line ABC(AC). thus, we can write it as,
AB + BC = AC
Line BC
substituting the value of AB from equation 1 we get in equation 2,
4(BC) + BC = AC
5(BC) = AC
5(BC) = 75
[tex]\bold{(BC)=\dfrac{75}{5}}[/tex]
BC = 15 cm.
Line ABSubstituting the value of BC in equation 1, we get,
AB = 4(BC)
AB = 4 x 15
AB = 60 cm
Hence, the length of line AB is 60 cms.
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Meghan paid $7 dollars for a book. This price included a 20% discount. What was the original price of the book?
To find the original price of the book after a 20% discount, multiply the price paid by 0.2 and subtract the result from the price paid.
Explanation:To find the original price of the book, we need to determine the amount of the 20% discount and subtract it from the price Meghan paid. First, let's calculate the discount amount by multiplying $7 by 20% (or 0.2), which gives us $1.40.
Next, subtract the discount amount from the price Meghan paid: $7 - $1.40 = $5.60. The question asks us to find the original price of a book before a 20% discount which Meghan paid $7 for post-discount.
Therefore, the original price of the book was $5.60.
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Which two answers are correct ?
Answer:
Choice A) x and f(x) approach negative infinity
Choice D) x and f(x) approach positive infinity
Step-by-step explanation:
A cubic curve starts low and ends high if the leading coefficient is positive, which in this case it is. This means that the left side of the graph falls while the right side rises. Your teacher might say something like "fall to the left, rise to the right" to describe what the end behavior is doing.
More formally "fall to the left" means that as x approaches negative infinity, y = f(x) is approaching negative infinity as well. Similarly, "rise to the right" indicates that as x approaches infinity, y = f(x) heads off to infinity as well. Both x and y = f(x) move in the same direction along their respective number lines; eg, if one goes in the negative direction, then so does the other.
The graph below confirms the answer visually.
Joshua and his four friends each have 1/2 package of crackers. HOW many packages of crackers do they have in all
Answer:
2 1/2 packages of crackers
Step-by-step explanation:
Answer:
2.5 packages of crackers
Step-by-step explanation:
multiply .5 by 5
good luck
please mark me brainliest
hello
i need help with this
plz see attachmentss below
Problem 1
Answer: Choice C) sample is appropriately large; margin of error is plus/minus 0.187
-----------------------------
Explanation:
At 90% confidence, the z critical value is roughly z = 1.645 (this is found using a table in the back of your textbook)
n = 250 is the sample size, which is appropriately large (it's over n = 30)
s = 1.8 is the standard deviation
The margin of error E is found by the formula below
E = z*s/sqrt(n)
E = 1.645*1.8/sqrt(250)
E = 0.18727008303518
E = 0.187
note: the sample mean is not used at all in the computation of the margin of error.
===========================================
Problem 2
Answer: Choice D) both are effective; however, Intensity program is more effective compare to Q30X program
-----------------------------
Explanation:
There's not much to say here other than your teacher really wrote a lot to set up this problem. There's a lot of extra filler that you need to toss out and ignore. Basically the short of it is that Brant wants to run faster so he tests two programs. He finds that both are effective (since they both yield roughly the same percent decrease in run times) but the Intensity program is better by two percentage points. It's not much, but it's something. So this is why the answer is choice D.
===========================================
Problem 3
Answer: Choice A) appropriately large; margin of error is plus/minus 0.079
-----------------------------
Explanation:
n = 150 is the sample size. It is appropriately large as it is over n = 30
At 95% confidence, using a stats table (in the back of your book) you should find the critical value is z = 1.960
p = 0.56 is the decimal version of 56%, this is the proportion of those who use public transportation
We'll use a slightly different margin of error formula. This time it's to measure the error for proportions (rather than means)
E = z*sqrt(p*(1-p)/n)
E = 1.960*sqrt(0.56*(1-0.56)/150)
E = 0.07943845584267
E = 0.079
Find f(4) for f(x)=4x+3
I know I’m asking a lot of these but I stink at math
f(4)=4*4+3=16+3=19
What you must do is to plug in 4 as x into the function to get your answer.
Answer:
the answer is 19
Step-by-step explanation:
1. You substitute the 4 for the x.
2. Next, your do 4 times 4 to get 16 and add to the 3 to equal 19
3. Finally, f(x)=19
Which of the following sets represent A ∪ B?
{6, 12}
{2, 3, 4, 6, 8, 9, 10, 12}
{1, 5, 7, 11}
{2, 3, 4, 8, 9, 10}
Answer:
Second answer
Step-by-step explanation:
Union means everything inside A and B
Answer:
B) {2, 3, 4, 6, 8, 9, 10, 12}
Step-by-step explanation:
Given:
A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}
AUB is the set of all the numbers combined with set A and set B.
A U B = {2, 3, 4, 6, 8, 9, 10, 12}
Therefore, answer is B) {2, 3, 4, 6, 8, 9, 10, 12}
Hope this will helpful.
Thank you.
The perimeter of the base of a pentagonal prism is 45 cm. what is the width of the rectangular side of that prism?
Answer:
Width of the rectangular side of that prism is, 9cm
Step-by-step explanation:
The formula for Perimeter of pentagonal prism is given by:
[tex]P = 5b[/tex]
where
P represents the perimeter of the pentagonal prism and
b is the base length of the pentagonal prism.
Given: Perimeter of pentagonal prism(P) is 45 cm.
Then;
45 = 5b
Divide both sides by 5 we get;
[tex]b = \frac{45}{5} = 9 cm[/tex]
Therefore, the width of the rectangular side of that prism is, 9cm
Answer:
Width of the rectangular side of that prism is, 9cm
Step-by-step explanation:
Caitlin went to the store to buy school clothes .She had a store credit from from a previous return in the amount of $39.58 if she bought 4 of the same style shirt in different colors and spent atotal of $52.22 after the store credit was taken off her total, what was the price of each shirt she bought?
Answer: The price of each shirt she bought was $22.95.
Step-by-step explanation:
Hi, to answer this, first, we have to add to the discounted price (52.22) the amount of the credit (39.58), to obtain the original total cost (without discount).
So:
52.22+39.58 = $91.8
Since she bought 4 shirts, we have to divide the total cost by 4:
91.8 /4 = $22.95
The price of each shirt she bought was $22.95.
can anybody help me fill in the blanks??
Answer:
1. 50%
2. 30.372
3. 569.99
5. 29.99
7. 479.99
8. 65%
9. 306.33
10. 20%
11. 31,491
There are 3 girls and 4 boys in the Reese's family. Mr Reese's booth 6 1/2 pounds of candy. How much will each kid get
Answer:
Each Child get = 0.928 pounds of candy
Step-by-step explanation:
Total no of girls are 3
total no of boys are 4
Total no boys and girls are = 3 + 4
= 7
Now it is given that Mr Reese booth have some pound of candies and he wants to distribute it equally among each children
total candy Mr Reese have is [tex]6\frac{1}{2}[/tex]
Now converting it to proper fraction
[tex]6\frac{1}{2}[/tex] =[tex]\frac{6*2+1}{2}[/tex]
= [tex]\frac{13}{2}[/tex]
Now the amount of candy have =[tex]\frac{13}{2}[/tex]
Now we have to divide it into 7 kids
so
each kid get = total candy / total children
=[tex]\frac{13}{2}[/tex]÷7
Changing the divide sign to multiplication
[tex]=\frac{13}{2}*\frac{1}{7}[/tex]
Which becomes
[tex]=\frac{13}{14}[/tex]
solving it gives
Each Child get = 0.928 pounds of candy
Which set of lengths could NOT be the sides of a triangle?A) 9 inches, 12 inches, 21 inches) 9 inches, 11 inches, 12 inches) 12 inches, 14 inches, 16 inches) 16 inches, 18 inches, 25 inches. HURRY help for brainiest
If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
A) 9, 12, 21
9 + 12 = 21 YES :)
B) 9, 11, 12
9 + 11 = 20 > 12 NOT :(
C) 12, 14, 16
12 + 14 = 26 > 16 NOT :(
D) 16, 18, 25
16 + 18 = 34 > 25 NOT :(
Answer: A) 9 in, 12 in, 21 in.LAST ONE I PROMISE AND THIS IS WORTH 98 POINTS HELP ME AND THEY'RE YOURS!!!!
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have
[tex]x_1=0,\ y_1=2.50\\\\x_2=1,\ y_2=5.00[/tex]
Substitute:
[tex]m=\dfrac{5-2.5}{1-0}=\dfrac{2.5}{1}=2.5[/tex]
y-intercept is for x = 0. Therefore y-intercept = 2.50.
The linear relationship: y = mx + b
m - slope
b - y-intercept
Substitute:
y = 2.5x + 2.5
Answer:Part A. the slope = 2.5 and y-intercept = 2.5Part B. y = 2.5x + 2.5Answer:
slope is 2.5
y intercept is 2.5
equation is y = 2.5x + 2.5
Step-by-step explanation:
We can find the slope by using the formula
m = (y2-y1)/(x2-x1)
= (27.5-2.5)/(10-0)
= (25/10)
= 2.5
The y intercept is the y value when x = 0
The y intercept is 2.5
The equation for the line can be written using the formula
y= mx +b where m is the slope and b is the y intercept
y = 2.5x + 2.5
PLEASE HELP ASAP 25 POINTS
Answer: B
Step-by-step explanation:
2x - 3y = -7 → 2(2x - 3y = -7) → 4x - 6y = -14
-4x + 6y = -10 → 1(-4x + 6y = -10) → -4x + 6y = -10
0 = -24
FALSE
Since this makes a false statement, there are no solutions
Hailey is starting a new exercise program. The first day she will spend 30 minutes on a treadmill. She will increase her time on the treadmill by 5 minutes each day for two weeks. Which function T(d), time in minutes, can be used to determine how many minutes Hailey will spend on the treadmill on any specific day.
Answer:
A) T(d) = 5d + 30
Step-by-step explanation:
Answer:
T(d) = 5d + 30
Step-by-step explanation:
Hailey is starting a new exercise program.
The first day she will spend 30 minutes on a treadmill.
She will increase her time on treadmill by 5 minutes each day for 2 weeks.
We have to form the function modeling this situation.
The equation will be in a linear form y = md + c
where c = constant term = 30 minutes
m = rate of change = Increase in time of exercise per day = 5
d = variable representing day
y = Second variable representing total time given for exercise
y = 5d + 30 or y = 5d + 30
We can rewrite the equation in the form of a function.
T(d) = 5d + 30
Florida has 8 less than 5 times the number of counties ,a, in Arizona. Georgia has 25 more than twice the number of counties, f, in Florida. Write an expression for the number of counties in Florida. Write an expression for the number of counties in Georgia.Arizona has 15 counties. How many do Florida and Georgia have? Number of counties Florida has: Number of counties Georgia has:
Answer:
Number of countries in Florida=5×a-8
Number of countries in Georgia=2×f+25
Step-by-step explanation:
Given that the number of countries in Florida is denoted by f, number of countries in Arizona is given by a and the number of countries in Georgia is given by g.
as Florida has 8 less than five times the number of countries in Arizona
So f=5×a-8
Georgia has 25 more than twice the number of countries in Florida
So g=2×f+25
Now it is given that Arizona has 15 countries i.e. a=15
So f=5×15-8
f=67
g=2×67+25
g=159
Hence, number of countries in Florida is:67
number of countries in Georgia is:159
Florida has 67 counties and Georgia has 159 counties, based on the expressions given and the number of counties stated for Arizona.
Explanation:The number of counties in Florida is represented by the expression 5a - 8, where 'a' is the number of counties in Arizona. Given that Arizona has 15 counties, we substitute 'a' with '15' in the expression to get 5*15 - 8 = 67. Hence, Florida has 67 counties.
The number of counties in Georgia is represented by the expression 2f + 25, where 'f' is the number of counties in Florida. Given that Florida has 67 counties, we substitute 'f' with '67' in the expression to get 2*67 + 25 = 159. Hence, Georgia has 159 counties.
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Calculate the shaded area.
Give your answer to 3 significant figures and state it’s units.
To calculate the shaded area, determine the area of the entire shape and the area of the shaded region. Subtract the area of the shaded region from the area of the entire shape to find the shaded area.
Explanation:To calculate the shaded area, we first need to determine the area of the entire shape. Let's say the shape is a rectangle with a length of 10 units and a width of 6 units. The area of the rectangle is given by multiplying the length by the width, so in this case, the area is 10 units x 6 units = 60 square units.
Next, we need to determine the area of the shaded region. Let's say the shaded region is a right triangle with a base of 4 units and a height of 3 units. The area of a triangle is given by multiplying the base by the height and dividing by 2. So, the area of the shaded triangle is (4 units x 3 units) / 2 = 6 square units.
Finally, we can calculate the shaded area by subtracting the area of the shaded triangle from the area of the entire shape. The shaded area is 60 square units - 6 square units = 54 square units.
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The bike shop is having a sale. Everything in the store is 20% off. A bike is originally priced at $345.00 What is the sale of the bike? Enter your answer in the box.
To find the sale price of a bike originally priced at $345.00 with a 20% discount, calculate the discount amount ($69.00) and subtract it from the original price, resulting in a sale price of $276.00.
Explanation:The bike shop is having a sale where everything in the store is 20% off. To calculate the sale price of a bike that is originally priced at $345.00, you first need to determine the discount amount. Convert 20% to a decimal by dividing 20 by 100, which gives you 0.20. You then multiply the original price of the bike, $345.00, by 0.20 to find the discount amount.
$345.00 \times 0.20 = $69.00
Next, subtract the discount from the original price to find the sale price.
$345.00 - $69.00 = $276.00
Therefore, the sale price of the bike is $276.00.
Please answer this if you know 100% how to do it
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
Answer:
The rate of change is 7/3
Step-by-step explanation:
To find the average rate of change, we subtract the value of the function at the 2 points, over the difference of the 2 points.
f(3) -f(0)
-----------
3-0
f(3) = 2^(3)+1 = 8+1 =9
f(0) = 1 +1 = 1
9 -2
-----------
3-0
7/3
The rate of change is 7/3
Each line is one unit.
When X = 0, the blue line is at Y = 2
When x = 3, the blue line is at Y = 9
The average rate of change would be the change in y over the change in x.
The change in y = 9 - 2 = 7
The change in x = 3-0 = 3
The average rate of change would be 7/3
A building is 190 feet tall and has a shadow that is also 190 feet. Determine the angle of elevation from the tip of the shadow to the top of the building.
A) 15°
B) 30°
C) 45°
D) 60°
Answer:
C) 45°
Step-by-step explanation:
Do you know what an isosceles right triangle looks like?
Its legs are the same length and its acute angles are 45°. Compare that to the picture.
The angle of elevation from the tip of the shadow to the top of the building is 45°
Given that the lines are parallel, what angles are congruent to angle 1?
Angle 2
Angle 5
All of the above
None of the above
Answer:
All of the above
Step-by-step explanation:
<1 = <2 Alternate interior angles
<1 = <5 Corresponding angles
Which expression is NOT equivalent to the other three? A) −9 − 7n + 16n B) 9(n − 9) Eliminate C) n − 9 + 8n D) 9n − 9
Answer:
The expression is not equivalent to other three is 9(n-9) .
Option (B) is correct .
Step-by-step explanation:
Take first expression
= -9 -7n + 16n
= 9n-9
Take second expression
= 9(n-9)
= 9 × n - 9 × 9
= 9n - 81
Take third expression
= n-9+8n
= 9n-9
Take fourth expression
= 9n-9
Therefore expression is not equivalent to other three is 9(n-9) .
Option (B) is correct .
Answer:
B
Step-by-step explanation:
Kong took 15%fewer secounds than Nolan took to complete his test.Kong took 85 secounds. How many secounds did Nolan take
Answer:
100sec
Step-by-step explanation:
100-15=85%
85%/85s = 100%/x
Crisscross method
x=8500/85
x=100s
Point E is located at (−2, 4) and point F is located at (5, 10) . What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 7:3 ratio?
Answer:
(2.9, 8.2)
Step-by-step explanation:
Formula used for finding the coordinates of the point that partitions the directed line segment EF
[tex](\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex]
Point E is located at (−2, 4) and point F is located at (5, 10)
(x1,y1) is (-2,4) and (x2,y2) is (5,10) , m=7, n= 3
Plug in the values in the formula
[tex](\frac{7(5)+3(-2)}{7+3}, \frac{7(10)+3(4)}{7+3})[/tex]
[tex](\frac{29}{10}, \frac{82}{10})[/tex]
(2.9, 8.2)
Answer:
(2.9, 8.2)
Step-by-step explanation:
I took the test
Please please help me out!!!
Answer: 31%
Step-by-step explanation: If you divide the amount of Graduate students receiving Financial Aid by the total students receiving Financial Aid then you get 31%
What is √64/100 in simplified form? Show your work.
[tex]\sqrt{\dfrac{64}{100}}=\dfrac{8}{25}[/tex]