Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric PLEASE ANSWER THIS IS MY 4TH TIME ASKING BRAINLIEST AND 43 POINTS Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric
Answer:
Mean
Step-by-step explanation:
The numbers have a very large range. So you should use the mean(or average) to get more accurate data.
I WILL GIVE BRAINIEST IF U ANSWER FAST!
Answer:
10+6=16
16*25=400
400+4=404
Step-by-step explanation:
EZ...
We can calculate E the amount of euros that has the same value as D u.s dollars using the equation E=17/20D. How many euros have the same value as 1 US dollar? How many US dollars have the same value as 1 euro?
Answer:
You can try substituting the 1's for different variables (E, D) in the formula , to get answers for each.
Find (-3/7) ÷ (-1 1/14). a. 45/98 b. 2/5 c. 2 1/2 d. -2/5
Answer:
B 2/5
Step-by-step explanation:
Used a calculator.
why did I get it wrong ? I’m finding constant B and idk what’s wrong with my step.
Answer:
[tex]\large \boxed{\sf \ \ A=5, \ \ B=-13 \ \ }[/tex]
Step-by-step explanation:
Hello,
What you did is correct...
[tex](Ax-3)(x-2)=5x^2+Bx+6\\\\\text{*** we develop the left side ***}\\\\Ax^2+(-2A-3)x+6=5x^2+Bx+6[/tex]
... and you found A by identifying the term in [tex]x^2[/tex] to get A = 5, right?
What about the other terms?
We can then identify the like terms:
>>> term in [tex]x^2\\[/tex]
A = 5
>>> term in x
-2A+3=B
>>> constant term
6 = 6
As we know that A=5 it means that B = -2*5-3=-13
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
B = -13
Step-by-step explanation:
Nothing is wrong you just have to complete it..
soo continuing from where you stopped.
Ax² - 2Ax - 3x + 6 = 5x² + Bx + 6
(its supposed to be the equivalence sign [with three dashes] but I am restricted by my keypad, so I made use of the equal to sign [two dashes])
comparing both sides, we can therefore say:
Ax² = 5x²..............i
- 2Ax - 3x = Bx......ii
+6 = +6..............iii
sub the value of A = 5 into ......ii
-2Ax - 3x = Bx
-2(5)x - 3x = Bx
-10x - 3x = Bx
-13x = Bx
B = - 13
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
Answer:
35 red marbles
Step-by-step explanation:
The total number of marbles the student recorded is 20
Now we have to make a ratio of red to the total number of marbles
That would be 7 : 20
After this, there will be a new ratio which is x : 100
Lastly we will solve for x making the equation 20x = 700, x = 35
Which of the following equations have exactly one solution? Choose all answers that apply: A.6x-15=6x+15 B.6x-6=6x+15 C.6x+15=6x+15 D.6x-6=15x+15
Answer: D
Step-by-step explanation:
In every other solution, x gets canceled out, so it has no impact on the equation. Thus, A, B, and C all have either infinite or no solution, because they have 6x on both sides of the equation.
Further proof:
6x-6=15x+15
Add(6)
6x=15x+21
Subtract(15x)
-9x=21
Divide(-9)
x = -2 3/9
Hope it helps <3
Answer:
d) 6x - 6 = 15x + 15
Step-by-step explanation:
Well let’s solve.
a)
6x - 15 = 6x + 15
Lets use the communicative property which is the moving of numbers.
We can start with -15, so we do +15,
6x = 6x + 30
Then we can do -6x
0 = 30
This is a false statement meaning there is no solution.
b)
6x - 6 = 6x + 15
We can start by doing +6
6x = 6x + 21
-6x
0 = 21
Again, this is a false statement meaning this has no solutions.
c)
6x + 15 = 6x + 15
So we do -15
6x = 6x
If this is the case then there is infinitely many solutions.
d)
6x - 6 = 15x + 15
So we can start by doing +5p6
6x = 15x + 21
Then we can do -15x
-9x = 21
then we can do 21 / -9 which is -2 1/3.
x = -2 1/3
So this has one solution.
What is the value of x?
sin(x + 22)° = cos(2x - 7)º
Answer:
x=25°
Step-by-step explanation:
sin (x+22)=cos(2x-7)=sin (90-(2x-7))
x+22=90-(2x-7)
x+22=90-2x+7
x+2x=97-22
3x=75
x=75/3=25°
Answer:
x = 25
Step-by-step explanation:
Recall the trig identity sin(x) = cos(90 - x)
In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)
Now, set them equal to each other:
cos(68 - x) = cos(2x - 7)
We can ignore the cosine:
68 - x = 2x - 7
3x = 75
x = 25
What is the value of x in this system of equations? Express the answer as a decimal rounded to the nearest tenth. Negative 5 x minus 12 y = negative 8. 5 x + 2 y = 48.
Answer:
5x+2y=48 or 5x-12y=-8
The value of x is 5 and y is 4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The Equations are:
5x - 12y= -8...................(1)
and, 5 x + 2 y = 48 ..................(2)
Solving the Equation (1) and (2) we get
-12y -2y = -8 - 48
-14y = -56
y= -56 /(-14)
y = 4
and, 5x +2y= 48
5x + 8 = 48
5x= 40
x= 5
Learn more about Equation here:
https://brainly.com/question/29657983
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Three different divers kept track of the number of treasure boxes they've found this year. Diver Dives Treasure boxes found Scuba Sam 11 33 Wet Suit Willy 18 81 Deep Diving Dan 26 104 Which diver found the most treasures per dive?
Answer:
Wet Suit Willy found the most treasures per dive.
Step-by-step explanation:
Given:
Diver name Number of dive Number of boxes
Sam 11 33
Wet Suit Willy 18 81
Deep Diving Dan 26 104
Find:
Who found the most treasures per dive
Computation:
Sam's per dive collection = 33 / 11 = 3 boxes
Wet Suit Willy's per dive collection = 81 / 18 = 4.5 boxes
Deep Diving Dan's per dive collection = 104 / 26 = 4 boxes
Wet Suit Willy found the most treasures per dive.
How do you prove a parallelogram using these 2 triangles, somebody needs to explain this to me?
RQP=ONP
Since R is the midpoint of MQ, then MR and RQ are equal.
Since R is the midpoint of MQ, then P must be the midpoint of NQ
The triangles are congruent and the trapezoid is three or those triangles.
RQR reflected is a triangle inside the trapezoid. The triangles at the left and right of the trapezoid are congruent.
Since all the triangles are the exact same, then they have the same height and same length.
So you connect them without like sliding a triangle up a little bit.
The 4 congruent triangles add up to be a parallelogram.
I don't know if this is what you learned in class or where ever you did learn it but this is my way (not where-I-learned-it-from's way).
When construction an equilateral triangle, what step comes after six arcs created on the circle ?
Answer:
Connect every other intersection of an arc and the circle with a segment.
Step-by-step explanation:
Connect every other intersection of an arc and the circle with a segment.
Answer:
a) Connect every other intersection of an arc and the circle with a segment.
b) Connect the intersections of the diameters and the circle with a segment.
c) Connect every intersection of an arc and the circle with a segment.
d) Connect the intersections of the perpendicular bisector and the circle with a segment
HOPE THIS HELPS :)
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
Find the constant of variation k for the direct variation
2x + y = 0
Answer:
2
Step-by-step explanation:
The constant of variation is 2 because the variable is x, and its coefficient, 2, is the constant of variation.
Which expression is equivalent to *picture attached*
Answer:
[tex]\frac{35(1 + 35)}{2}[/tex]
Step-by-step explanation:
Given:
The attached
Required
Find the equivalent expression
The interpretation of is to add the sequence:
n = 1,2,3,......35
This can be done using the following formula (Sum of n terms of an AP)
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]
T1 is the first term; [tex]T_1 = 1[/tex]
Tn is the last term; [tex]T_n = 35[/tex]
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes
[tex]S_n = \frac{35}{2}(1 + 35)[/tex]
[tex]S_n = \frac{35(1 + 35)}{2}[/tex]
From the list of given options;
Option A is correct
[tex]\frac{35(1 + 35)}{2}[/tex]
what are fractions that are equivalent to 4/20?
Answer: 1/2, 2/10, and 3/15
Explanation: Let's find 3 fractions that are equivalent to 4/20.
To find 3 fractions that are equivalent to 4/20,
notice that 4/20 is not in lowest terms.
In this situation, let's first rewrite 4/20 so that it's in lowest terms.
To do this, we divide the numerator and denominator by the
greatest common factor of 4 and 20, which is 4, and we have 1/5.
Since 1/5 is equivalent to 4/20, we can use
1/5 to find more equivalent fractions.
If we multiply 1/5 by 2 in both the numerator and
denominator, we get the equivalent fraction 2/10.
If we multiply 1/5 by 3 in both the numerator and
denominator, we get the equivalent fraction 3/15.
So 4/20 is equivalent to 1/5, 2/10, and 3/15.
Note that these are just 3 possible answers.
There are many other fractions that are also equivalent to 4/20.
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2. If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC? Question 20 options: A) 225 units B) 37.5 units C) 25 units D) 150 units
Answer:
b)37.5
Step-by-step explanation:
the ratio 3:2 is the same as 1.5, so you multiply 1.5 & 25 to get 37.5 units
The required measure of the perimeter of the ΔABC is 37.5 units. Option B is correct.
Given that,
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2. If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC?
The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
3/2ΔMNO = ΔABC
The perimeter of the ΔABC = 3/2 The perimeter of the ΔMNO
The perimeter of the ΔABC = 3 / 2 [25]
The perimeter of the ΔABC = 37.5
Thus, the required measure of the perimeter of the ΔABC is 37.5 units. Option B is correct.
Learn more about Scale factors here:
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in the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.
Answer:
[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]
Step-by-step explanation:
According to the trigonometric ratios in aright triangle :
[tex]\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}[/tex]
Given: ΔBCA ~ ΔSTR
Since , corresponding angles of two similar triangles are equal.
So, ∠C = ∠T ...(i) [Middle letter]
In triangle STR
[tex]\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63[/tex] ...(ii)
From (i) and (ii), we have
[tex]\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63[/tex]
Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?
Answer:
80 lamps
Step-by-step explanation:
number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices
5*(3*3)*2
=5*9*2
=40*2
=80
hope it helps :)
Which could be the areas of the smaller squares?
Answer:
A, BStep-by-step explanation:
We have a right triangle. Therefore, we can use the Pythagorean theorem:
The sum of the areas of the squares built on the legs is equal to the area of the square built on the hypotenuse.
We have the area of the largest square (the square built on the hypotenuse).
A₃ = 36 u²
From the Pythagorean therem we have the equation:
A₃ = A₁ + A₂
We need the areas of the smaller squares (A₁ and A₂).
A₁ + A₂ = 36.
From the second picture, we have:
A) 6 and 30 → 6 + 30 = 3 CORRECT
B) 8 and 28 → 8 + 28 = 36 CORRECT
C) 4 and 16 → 4 + 16 = 20 ≠ 36 INCORRECT
Which of the following equations describes the graph?
Answer:
I Think it is the 3rd equation
Step-by-step explanation:
David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?
Answer:
B. 1 must be a root of the polynomial 3x^2+x-4
Step-by-step explanation:
Given polynomial
3x^2+x-4
Divided by factor x-1
Gives a remainder of 0
Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4
If x-1 is a factor of the polynomial, we can equate x-1 to 0
x-1=0
Solve for x to get one of the roots
x-1=0
Add 1 to both sides
x-1+1=0+1
x=1
B. 1 must be a root of the polynomial 3x^2+x-4
If y varies inversely with x and y=17 when x=11 find y when x=19
2(3 – 4a) + 5(a – 7)
Answer:
The answer is -(29+3a).
Step-by-step explanation:
=2(3-4a)+5(a-7)
= 6- 8a +5a -35
= 6-35-8a+5a
= -29-3a
= -(29+3a)
Hope it helps..
Answer:
- 29 - 3aStep-by-step explanation:
[tex]2(3 - 4a) + 5(a - 7)[/tex]
Distribute 2 through the parentheses
[tex] = 6 - 8a + 5(a - 7)[/tex]
Distribute 5 through the parentheses
[tex] = 6 - 8a + 5a - 35[/tex]
Calculate the difference
[tex] = - 29 - 8a + 5a[/tex]
Collect like terms
[tex] = - 29 - 3a[/tex]
Hope this helps...
Best regards!!
PLEASE HELP I AM IN A RUSH: Rita is developing an equation that will represent the same proportional relationship as the graph. On a coordinate plane, a line goes through points (0, 0) and (4, 7). How will the ordered pair help her when she finds the equation? The product of the coordinates will be a constant term in the equation. The quotient of the coordinates will be a constant term in the equation. The product of the coordinates will be a coefficient in the equation. The quotient of the coordinates will be a coefficient in the equation.
Answer:
D. The quotient of the coordinates will be a coefficient in the equation.
Step-by-step explanation:
Given a line through (0,0) and (4,7)
the slope of the line is m = (7-0) / (4-0) = 7/4
The equation of the line is
y = mx
Therefore
The quotient of the coordinates will be a coefficient in the equation.
Answer:
D
Step-by-step explanation:
Which polynomial is equivalent to (2h − 3k)(h + 5k)?
Answer:
[tex]2h^{2} + 7hk - 15k^{2}[/tex]
Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2
Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6, 0) and (negative 8, 6). y = 3 x minus 7 y = negative 3 x + 3 y = one-third x + StartFraction 7 Over 9 EndFraction y = negative one-third x + 12
Answer:
[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]
Step-by-step explanation:
The coordinates are (-6,0) and (-8,6)
Finding slope of the line
Slope = [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{6-0}{-8+6}[/tex]
Slope =[tex]\frac{6}{-2}[/tex]
Slope = -3
Parallel lines have equal slopes.
So, the line which is parallel to this line is y = negative 3 x + 3
Answer:
[tex]\boxed{ \mathrm{y = \ negative \ 3 x + 3}}[/tex]
Step-by-step explanation:
The coordinates are given (-6, 0) and (-8, 6)
Find slope of the line.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{6-0}{-8--6}[/tex]
[tex]m=\frac{6}{-2}[/tex]
[tex]m=-3[/tex]
Parralel lines have same slope.
y = mx + b
m = -3
A circle has a circumference of 3.143.143, point, 14 units. What is the diameter of the circle?
Answer:
The diameter is 1.
Step-by-step explanation:
The circumference is 3.14 units
C = pi * d
Using 3.14 for pi
3.14 = 3.14 d
Divide each side by 3.14
3.14/3.14 = 3.14 d/ 3.14
1 =d
help me please it will save my life
Answer: 197
Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that
FIRST GETS BRAINLLEST Jackie is trying to reproduce a scale drawing where every 2 cm will be equal to 2.5 feet. How long should Jackie make the yellow line, in feet?
Answer:
7.5 feet
Step-by-step explanation:
If we look at the yellow line, it is 6 cm.
To find how many times 2cm goes into 6cm, we divide.
[tex]6\div2=3[/tex]
So, if we reproduce the shape for every 2 cm, we have to multiply the value by 3.
Since every 2 cm will be equal to 2.5 feet, we can multiply the values.
[tex]2.5\cdot3=7.5[/tex]
So Jackie should make the yellow line 7.5 feet long.
Hope this helped!
Answer:
The answer is 7.5 feet
Step-by-step explanation:
Kakadk.