Answer:
the slope of the line is 1/2
Answer:
Slope is 1/2
Step-by-step explanation:
If you use Y2-Y1/X2-X1, you will find the slope
2 coordinate points (6,0) (0,-3)
-3-0/0-6
-3/-6 Simplify this and you will get 1/2
a quarterback throws a ball in the air from an initial height of 5 feet. The football has an initial vertical velocity of 50 feet per second. Another player catches the ball when it is 2 feet above the ground. How long is the ball in the air?
Answer:
The range of the function is from 2 feet to 12.25 feet
Step-by-step explanation:
In a function f(x) = y
x is the domain of the function
y is the range of the function
The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6
∵ h(t) = - 16 t² + 20 t + 6
∴ The domain is t
∴ The range is h(t)
- To find the range of the quadratic function find the maximum or
minimum value of it
∵ The leading coefficient of the function is -16
∴ The function has a maximum value
To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height
∵ h'(t) = -16(2) t + 20(1)
∴ h'(t) = -32 t + 20
- Equate it by 0
∵ h'(t) = 0
∴ -32 t + 20 = 0
- Subtract 20 from both sides
∴ -32 t = - 20
- Divide both sides by -32
∴ t = 0.625 seconds ⇒ time for the maximum height
Substitute the value of t in h(t) to find the maximum height
∵ h(0.625) = -16(0.625)² + 20(0.625) + 6
∴ h(t) = 12.25 feet
∴ The maximum height of the ball is 12.25 feet
∵ The ball is caught at 2 feet
∴ The range of the function is 2 ≤ h(t) ≤ 12.25
The range of the function is from 2 feet to 12.25 feet
Describe the nature of the roots for the equation
49x2– 28x +4 = 0
Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
Factor the expression completely, -12.75 + 4.25x
(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?
Answer:
x=-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
2(x - 3) = 4x
2x - 6 = 4x
2x - 4x = 6
-2x = 6
x = -3
I hope this helps you :)
Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.
Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Probability
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]
Finally, the probability of getting the remaining ace out of the 49 cards is:
[tex]\displaystyle \frac{1}{49}[/tex]
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]
[tex]\displaystyle P= \frac{1}{270,725}[/tex]
P=0.0000037
P=0.00037%
A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 34 pounds?
Enter your answer in reduced form.
Answer:
289/60
Step-by-step explanation:
please help me with this math question I don't get a lot of time
3 (3w − 4) = −20
Solve for w, please
Answer:
[tex]\boxed {x = -\frac{8}{9}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]w[/tex]:
[tex]3(3w - 4) = -20[/tex]
-Use Distributive Property:
[tex]3(3w - 4) = -20[/tex]
[tex]9w - 12= -20[/tex]
-Add both sides by [tex]12[/tex]:
[tex]9w - 12 + 12 = -20 + 12[/tex]
[tex]9w = -8[/tex]
-Divide both sides by [tex]9[/tex]:
[tex]\frac{9w}{9} = \frac{-8}{9}[/tex]
[tex]\boxed {x = -\frac{8}{9}}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-\frac{8}{9}[/tex].
Is 9% of 998 pages less or larger HURRYYYYYYYY
Answer:
less that is it have good day
Which statement about rigid transformations is true?
A.
A rigid transformation preserves only the side lengths of a polygon.
B.
A rigid transformation preserves only the angle measures of a polygon.
C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.
D.
A rigid transformation preserves neither the side l
Answer:
The answer is B because it is only the measure of the polygon
Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?
If a restaurant charges $9.90 for 2 sandwiches, how much will the restaurant charge for 15 sandwiches?
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
Answer:
$58.33
Step-by-step explanation:
Set up a proportion where x is the amount she makes for 7 hours:
[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]
Cross multiply and solve for x:
3x = 175
x = 58.33
So, after working for 7 hours, she will make $58.33
Answer:
About 60-65$
Step-by-step explanation:
Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3
Expand.
Your answer should be a polynomial in standard form.
(3b-4)(b+2)=
Answer:
3b^2 +2b -8
Step-by-step explanation:
Answer:
[tex]3b^2+2b-8[/tex]
Step-by-step explanation:
Speedeez Go Carts charges $10 plus $2.50 per lap. Which best describes the relationship between total cost and the number
of laps?
Answer:
10+2.50*L
Step-by-step explanation:
It first says they charge $10 PLUS $2.50 per lap.
If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.
Triangle A′B′C′ is the image of ΔABC under a dilation such that A′B′ = 3AB. Triangles ABC and A′B′C′ are
A.congruent but not similar
B.similar but not congruent
C.both congruent and similar
D.neither congruent nor similar
PLS HELP
the correct answer is c if that is what you were looking for
Triangles ABC and A′B′C′ are similar but not congruent.
Hence, Option B is true.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle A′B′C′ is the image of ΔABC under a dilation such that,
⇒ A′B′ = 3AB.
Hence, The ratio of there corresponding sides are equal.
And, The length are not equal.
Thus, Triangles ABC and A′B′C′ are similar but not congruent.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ3
Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)
please help and the question is in the docs
Answer:
sfuc,k u
Step-by-step explanation:
answer question for brainliest
The table shows the listed sale price for bottled water at four stores.
Which store charges the LEAST amount per bottle of water?
Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1
B
Store 2
C
Store 3
D
Store 4
Answer:
I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please
Whats 2 & 1/2 divided by 3 & 1/3
A = 3/5
B = 3/4
C = 4/10
D= 15/12
help pls 25 points
Answer:
B = 3/4
Step-by-step explanation:
2 1/2 / 3 1/3
can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10
5/2 x 3/10 cross multiply
15/20 = 3/4
Answer:
It would be B. 3/4
Step-by-step explanation:
You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"
When multiplied, you will get "15/20" which simplifies to "3/4"
Which region represents the solution to the given system of inequalities?
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities.
Step-by-step explanation:
Answer:
Region A
Step-by-step explanation:
y<-1/2x
y greater than or equal to 2x+3
please help!!!!!!! and round your answer to a whole number :)))
Answer:it would Be 16 I think-
Step-by-step explanation:
please help will give brainliest
Answer:
I think 5/15 is the answer
Step-by-step explanation:
someone help me!! thank you
Answer:
0-12
1-24
2-36
3-48
Step-by-step explanation:
Ten less than seven times a number is twenty three.
Answer:
I believe the number is 4.7
A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg of the relay, what is the total time to run the relay?
Answer:
181.92 seconds
Step-by-step explanation:
We are given that,
Time taken by each person in the team = 45.48 seconds
Number of members in the team = 4
It is required to find the total time taken by the team to finish the race.
Thus, the time taken taken = 4 × 45.48 = 181.92 seconds
Hence. the team finished the race in 72.4 seconds.
What is the rate of change of (-3,7) and (5,-9)
Answer: sorry wish I could help
Step-by-step explanation:
Which figure is missing in the pattern?
Answer:
B
Step-by-step explanation:
The pattern is square numbers so
1, 4, 9, 16, 25
how do you write 4 more than A as an expression
Answer:
a + 4
Step-by-step explanation:
a is the initial value
you are adding four, so it becomes a + 4
Does anyone know how to do this?
Answer:
the 8 means there will be 8 zeros after it so
62.00000000
yw
the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed
Answer:
Step-by-step explanation:
229,613 cm ^3 took test.