Answer:
1) 1.1 seconds
2) 13.5 feet
Part A[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]
Apply quadratic formula:
[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]
Simplify following
[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]
In decimal form:
[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]
Conclusion:
As time is be only positive: t = 1.1 seconds
Part B
[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]
insert t = 0.5
[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]
simplify
[tex]\rightarrow \sf h=13.5[/tex]
What is the solution to the equation
m - 8 = 12
Answer:
m= 20
Step-by-step explanation:
add 8 to both sides,
12+8=20
Select Yes or No to state whether each data set is likely to be normally distributed.
the age of people entering a super store
(Yes or no)
the heights of people entering a super store
(Yes or no)
the number of 8 oz glasses of milk in 1 gallon
(Yes or no)
the gallons of milk sold at the super store in one week
(Yes or no)
The age of people entering a super store is likely to be normally distributed.
The heights of people entering a super store is likely to be normally distributed.
The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.
The gallons of milk sold at the super store in one week is likely to be normally distributed.
What is normal distribution?
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.
People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal. The 8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.
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I will give BRAINILEST
Answer:50%
Step-by-step explanation: there is no real answer to your question because 50%is not there
the units of a two-digit numeral is 5 more then the tens digit. the number is three times the sum of its digits. find the numeral
Answer:
27
Step-by-step explanation:
Let x = ten's digit
Let y = units' digit
Given: the units of a two-digit numeral means
that our final answer will be a 2 digit number (xy)
Given: 5 more than the tens digit means
y is 5 more than x (y = x + 5)
Given: the number is three times the sum of its digits.
xy is 3 times x + y
A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit
y = x + 5 and 10x + y = 3(x + y)
x - y = -5
7x - 2y = 0
Multiply the first equation by -2:
-2x + 2y = 10
7x - 2y = 0
Add the equations to get 5x = 10
So, x = 2 and y = x + 5 = 7
Reminder:
Let x = ten's digit
Let y = units' digit
The number is 27
D = {x:x is an integer -3
Answer:
yes , because -3 is the whole number
A grandson's age in months is equal to his grandfather's age in years. The difference
of the grandson's age in years and the grandfather's age in years is 77. Find the
grandson's age in years.
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore, the age of the grandson is 7 years.
How to use equations to find the age?
A grandson's age in months is equal to his grandfather's age in years.
Recall,
12 months = 1 year
Hence,
let
x = age of grandson in month
It is the same age in years for the grandfather.
Therefore,
x = age of grand father in years
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore,
x - x / 12 = 77
12x - x/12 = 77
11x / 12 = 77
cross multiply
11x = 924
x = 924 / 11
x = 84
Therefore, the grandson age in in years is 84 / 12 = 7 years.
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-10|n+6| < -10
What are the steps to solve this?
Answer: n < -7 and n > -5
Step-by-step explanation:
-10|n+6| < -10
first divide by -10 on both sides
[tex]\frac{-10|n+6|}{-10}[/tex] < [tex]\frac{-10}{-10}[/tex]
since we are dividing, we have to flip the sign
|n+6| > 1
subtract the absolute value of 6
You are left with n < -7 and n > -5
The second showing started 20 minutes late. Will the second
showing be over by 6:30 P.M.? Explain why your answer is reasonable
No, the second showing would be over at 6:50 because it started 20 minutes late. The time is delayed 20 minutes because it started 20 minutes later.
solve fast pls i am mark you
Answer:
[tex] \bold{ x = - \frac{5}{6} }[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀■ Question[tex] \large \sf{ \frac{4x + 9}{3x + 11} = \frac{4x + 3}{3x + 2} }[/tex]
Solve for x.
⠀
⠀
⠀⠀⠀⠀□ Solution⠀
⠀
We will cross multiply the above equation⠀
[tex] \sf (4x + 9)(3x + 2) = (4x + 3)(3x + 11) \\ \\ \sf 4x(3x + 2) + 9(3x + 2) = 4x(3x + 11) + 3(3x + 11) \\ \\ \sf 12 {x}^{2} + 8x + 27x + 18 = 12 {x}^{2} + 44x + 9x + 33 \\ \\ \sf 12 {x}^{2} + 35x + 18 = 12 {x}^{2} + 53x + 33[/tex]
⠀
⠀
Now we will take the values of RHS(right hand side) to LHS(left hand side) of the equation. During this, the values of RHS will get opposite sign while going to LHS.⠀
[tex] \sf 0 = 12 {x}^{2} + 53x + 33 - 12 {x}^{2} - 35x - 18 \\ \\ \sf 0 = 18x + 15[/tex]
⠀
⠀
Taking 15 to LHS⠀
[tex] \sf - 15 = 18x[/tex]
⠀
⠀
Dividing both RHS and LHS of the equation by 18⠀
[tex] \large{ \sf \frac{ - \cancel{15} \tiny {5}}{ \cancel {18} \tiny6 } = x} \\ \\ \boxed{ x = - \frac{5}{6} }[/tex]
Answer:
[tex]\textsf{$x=-\dfrac{5}{6}$}[/tex]
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{4x+9}{3x+11}=\dfrac{4x+3}{3x+2}$}[/tex]
1. Cross-multiply
(4x + 9)(3x + 2) = (4x + 3)(3x + 11)
2. Distribute
⟶ (4x + 9)(3x + 2) = (4x + 3)(3x + 11)
⟶ 4x(3x) + 4x(2) + 9(3x) + 9(2) = 4x(3x) + 4x(11) + 3(3x) + 3(11)
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
3. Combine like terms
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
⟶ 12x² + 35x + 18 = 12x² + 53x + 33
4. Subtract 12x² from both sides
⟶ 12x² - 12x² + 35x + 18 = 12x² - 12x² + 53x +33
⟶ 35x + 18 = 53x + 33
5. Subtract 35x from both sides
⟶ 35x - 35x + 18 = 53x - 35x + 33
⟶ 18 = 18x + 33
6. Subtract 33 from both sides
⟶ 18 = 18x + 33
⟶ 18 - 33 = 18x + 33 - 33
⟶ -15 = 18x
7. Divide both sides by 18 to isolate the variable
[tex]\longrightarrow\textsf{$\dfrac{-15}{18}=\dfrac{18x}{18}$}\\\\\\\longrightarrow\textsf{$\dfrac{-15}{18}=x$}\\\\[/tex]
8. Reduce
[tex]\longrightarrow\textsf{$\dfrac{-15\div 3}{18\div 3}=x$}\\\\\\\longrightarrow\textsf{$-\dfrac{5}{6}=x$}[/tex]
During a sale the regular price of an item is reduced by 20 percent if the sale price is $600 what is the regular price
RIGHT triangular prisms A and B are congruent. What is the volume of prism B? A) 420 in3 B) 1080 in3 C) 2160 in3 D) 32400 in3
Answer: B
Step-by-step explanation:
Jeanette chose 100 of the 300 students in her grade level at random and asked what their favorite team sport to play was. The results are shown in the table below. Based on the results in the table, is it valid to infer that more students in Jeanette′s grade like to play basketball than football? Explain your answer.
Answer:
It is valid that more students in Jeanette′s grade like to play basketball than football because 33 people play basketball and only 18 people play football.
Step-by-step explanation:
Answer:
I think that it is not valid to infer that more students in Jeanette's grade like to play basketball than football because she gathered the results of 100 students only which is not even 100% of the total no of students in her grade.
Step-by-step explanation:
how to do this please help me
Answer: ∠BAC = 70°
Step-by-step explanation:
We will use the "Exterior Angle Property" which states that an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
This means that (6a) + (7a) = 130° which we can solve.
(6a) + (7a) = 130°
13a = 130
a = 10°
Now that we have the value of a, we can solve for the angle BAC.
7a
7(10)
70°
Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -3, -23, -43, -63, ...
Answer:
1) Arithmetic since it decreases by 3 so, -3n + 38.
2) Arithmetic since it decreases by 20 each time, so -20n+17
Step-by-step explanation:
Which is the graph of x-y=1?
Answer:
Top right
Step-by-step explanation:
x - y = 1
rearrange for y = mx + b
-y = -x +1
y = x - 1
crosses the y axis at (0, -1)
y = -1 when x = 0
x = 1 when y = 0
The graph that satisfies these is the on eon the top right
Please help me with question 12. I don’t know the answer.
Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)
exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5
Step-by-step explanation:
The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?
The meters of fencing that is needed is = 3.36m
Calculation of needed metersThe garden is designed in a trapezoid form with sides= a; 3.3m and b; 5.28m.
The area of the trapezoid garden = 13.92 m²
Therefore the meters of fencing needed which is height = ?
The formula for the area of trapezoid = A = (a+b/2)h
From the formula make h the subject of formula;
h = A *2/a+b
h = 13.92*2/3.3+5.28
h =27.84/8.28
h= 3.36m
Therefore, the meters of fencing that is needed is = 3.36m.
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Can you work out what the
next number in the pattern
should be? 4 – 6-9-6-14 - 6
-
Look the left side as right is constant (6).
9-4=514-9=5So common difference is 5..
next no=14+5=19
Next term
19-6please please please help me this is for my brother.
Answer:
below
Step-by-step explanation:
it was the first thing I saw
11. Find the equation for the circle with center (−2,−3) and passing through (1,5).
Answer:
(x +2)² + (y+3)² = 73
Use the distance formula to find radius:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf \sqrt{(-2-1)^2+(-3-5)^2}[/tex]
[tex]\rightarrow \sf \sqrt{73}[/tex]
Eqaution of circle:
(x-h)² + (y-k)² = r²
(x-(-2))² + (y-(-3))² = (√73)²
(x +2)² + (y+3)² = 73
Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale
Both the tangents are equal to each other. Then the length of BC will be 5.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A tangent to a circle is a line that passes through the centre of the circle precisely once.
As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.
Then both the tangents are equal to each other.
The length of BC will be 5.
The diagram is shown below.
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PLEASE HELP ME IM IN A HURRY RN
Answer:
x=-32
Step-by-step explanation:
its the last one
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Write each decimal as a fraction in simplest terms
Answer:
A. 25/33
B. 1/3
C. 1/33
D. 25/9
Answer:
Step-by-step explanation:
what is t - s
please help me
t - s
-7-(-4)
-7+4
-3
hope it helps...!!!
Answer:
Top Secret
Step-by-step explanation:
top secret. Slang. tough sh#t (a euphemistic initialism used to avoid explicit vulgarity). See also sh#t (def. 31).
Not what you're looking for?
can someone help me please I'm exhausted can someone find the quotient of 36.8 divided by 2.3
Answer:
16
Step-by-step explanation:
36.8÷2.3=16 with no remainders
Answer:
16
Step-by-step explanation:
36.8 divided by 2.3 is 16
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed?
Answer:
4.8038
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 quarts in a gallon.
hope this helps, and do you mine answering my newst quition.
12. Select all the numbers that are greater than 1.
a.
23
b.
0.63
7
C.
1
-
5
5
d.
7
N
2
e.
w
Im
2.
f.
Answer:
its 23, (0.63 maybe), 7 ,5,5 that’s it
Step-by-step explanation:
NEED HELP QUICK - State the reference angle and what quadrant the terminal side of the angle is in.
Answer:
the answer is 225
Step-by-step explanation:
y+135=360
y=360-135
y=225
The neighborhood movie store rents a game machine for $12.50 plus $1.50 per day. the downtown store rents the same machine for $4 per day with no initial fee. after how many days will the total rental charge be the same for each store?
In 5 days the total rental charge is the same for each store.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
A movie store rents a game machine for $12.50 plus $1.50 per day. The downtown store rents the same machine for $4 per day with no initial fee.Let x be the days. The two-equation will be formed as:-
Total amount = 1.5x + 12.5
Total amount = 4x
For the same total amount, we will equate the two equations.
1.5x + 12.5 = 4x
12.5 = 4x - 1.5x
12.5 = 2.5x
x = 12.5 / 2.5
x = 5 days
Therefore In 5 days, the total rental charge is the same for each store.
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Plssss helllpp. Worth 10 points
What is a synonym for the word "partial?"
incomplete
one-sided
complete
different
Answer:
incomplete
or
The first one
Step-by-step explanation:
hope this helps
have a good day