Answers
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
Related Questions
8 As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E. С
Answers
From the rectangle given, we see the diagonals of the rectangle bisect each other at E.
From the properties of a rectangle is that;
1) The diagonals are congruent. That is, they are equal. AC = BD
2) The diagonals bisect each other into two equal parts.
These are the two properties we will use in solving the question
[tex]undefined[/tex]5. The circle graph shows the favorite music genre of radio listeners. Which of the following 2 categories combinedmake up the biggest percentage?Music PreferenceClassical 10%a. Alternative and classicalb. Country and rock15%AlternativeRock 35%C.Jazz and countryCountry25%Jazz 15%d. Rock and Classical
Answers
rock with 35% and country with 25% are the highest percentages, therefore the answer is: B
PLEASE ITS URGENT I MEED HELP AND PLEASE SHOW THE STEPSSSS
I WILL MARK BRIANLIEST OBVIOUSLY!
Answers
Answer:
KM = √53
Step-by-step explanation:
K is at (-4, 8), and M is at (-2, 1).
KM
[tex] \sqrt{ {( - 4 - ( - 2))}^{2} + {(8 - 1)}^{2} } [/tex]
[tex] \sqrt{ {( - 2)}^{2} + {7}^{2} } = \sqrt{4 + 49} = \sqrt{53} [/tex]
Blake works at a grocery store and is paid every two weeks. He earned $486.50 this week. His pay will increase by 10% next week. What will his total
pay be for the two week period?
Answers
Answer:
$1,021.60
Explanation:Blake earn $486.50 in 1 week.
"The next week, his pay will increase by 10%"
2 weeks:
= $486.50 * 1.10(+10%)
= $535.15
Blake paid after two weeks. He got
= $486.50 + $535.10
= $1,021.60
help please! will give brainliest
Answers
Answer:
I believe the top is 50 because 50 is the b value while the bottom would be 25 because that is the ac value of the expression
Step-by-step explanation:
above
You drove 18 miles in 20 minutes at a constant speed and did NOT exceed the speed limit, given in miles per hour. Among the following, which is the lowest that the speed limit could have been?
Answers
Answer:
54 mph
Step-by-step explanation:
18 miles / 20 minutes = 18 miles / 1/3 hour
18 ÷ 1/3 = 18 × 3 = 54 mph
The constant speed with given distance and time is 54 miles per hour.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, you drove 18 miles in 20 minutes at a constant speed.
Here, 20 minutes =20/60 =1/3 hours
Now, Speed = Distance÷Time
Speed= 18÷1/3
Speed=54 miles per hour
Therefore, the constant speed is 54 miles per hour.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
find the y-intercept of the graph of the linear equation 2y=x-4
Answers
The y intercept of the graph of the linear equation 2y = x - 4 is -2 obtained through the following graph.
Linear equation:
Linear equation means an equation in which the highest power of the variable is always 1 also known as a one-degree equation.
The standard form of a linear equation is ax + b = c
Given,
Here we have the linear equation 2y = x - 4.
Now, we have to find the y - intercept from this equation's graph.
In order to plot the graph for this equation we have to rewrite the given equation then we get,
=> 2y = x - 4
=> y = (x-4)/2
Now we have to take sample value for x, in order to get the table for the equation.
For that we have to take the sample value of x as -2, -1, 0, 1, and 2, then we get the table like the following.
By using the table we have to plot the graph, then the resulting graph is attached below.
Through the graph we have identified that the y - intercept is -2.
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Read the problem, set up a
multi-step equation with variables
on both sides, then solve ll.
#3
Mark is buying Christmas presents for members of his
family. He wants to spend $10 less on his brother than
he spends on his sister, and six dollars more than twice
the amount he spends on his sister on his wife. If Mark
has $100 to spend, how much does he intend to spend on
his brother?
HERE'S A Use the variable, s. for the
HINT
amount he will spend on
his sister.
Insert image of work here:
Answers
The amount spent on brother is $16, on sister is $26 and that on wife is $58.
According to the question,
We have the following information:
Mark is buying Christmas presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his wife. And Mark
has $100 to spend.
Let's take the amount spent on sister to $s.
Amount spent on brother = $(s-10)
Amount spent on wife = $(6+2s)
So, we have the following expression:
s+s-10+6+2s = 100
4s-4 = 100
4s = 104
s = 104/4
s = $26
Amount spent on brother = 26-10 = 16
Amount spent on wife = 6+2*26
Amount spent on wife = 6+52
Amount spent on wife = $58
Hence, the amount spent on brother is $16, on sister is $26 and that on wife is $58.
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(2.92x10^6)/(4x10^-2)
Answers
Answer:
[tex]7.3 \times 10^7[/tex]
Step-by-step explanation:
[tex]\frac{2.92 \times 10^6}{4 \times 10^{-2}} \\ \\ =\frac{2.92 \times 10^8}{4} \\ \\ =0.73 \times 10^8 \\ \\ =7.3 \times 10^7[/tex]
if f(x) has a remainder of -2 when divided by x-7, what is f(7)?
Answers
If f(x) has a remainder of -2 when divided by x-7, f(7) is -2.
The leftover is -2 when the function f(x) is divided by x-7, according to the question.
hence the result will be -2 if we use the value x = 7 in the function.
This has the same meaning as "f(7)" because "f(7)" also means to enter "x = 7" in the function and "-2" as the response.
Therefore, if f(x) is divided by x-7 with a remainder of 2, f(7) is equal to -2.
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Classify the system (options: consistent, independent consistent, inconsistent)3x + 2y = 73x - 4y = 9
Answers
SOLUTION
Let's look at the graphical solution of the pair of simultaneous equations
From the graph, we can see that the equations have at least one solution, which are 2.556, and -0.333. Hence, it is said to be consistent.
Now, since the solutions intersect only at one place, it means that it has exactly one solution. If a consistent equation has exactly one solution, it is said to be independent.
Therefore, the systems of equations are consistent and independent
17. Is the following statement true or false? A triangle can have two angles that measure 100°.Explain.
Answers
the interior angles of the triangle must sum 180°
if we have two angles that measure 100° the sum of interior angles of a triangle will be more than 180°, and that can't be true.
so the answer is FALSE
each day for three weeks, keisha recods the number of eggs her chickens lay. The frequency table shows her data. which statement describes the data distribution
Answers
The greatest number of eggs laid by the chicken any day is 7
What is frequency table?A frequency table is a table that lists items and shows the number of times the items occur.Frequency refers to the number of times an event or a value occurs.
A frequency table lists a set of values and how often each one appears.
The frequency table above shows the number of eggs laid for 3weeks.
From the table, the least number of egg laid in anyday is 3 and the greatest number of egg laid in a day is 7.
Therefore the greatest number of egg that can be laid by the chickens in anyday is 7
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Answer:
The distribution is spread from 3 eggs to 7 eggs.
The relationship between the time you see lightning and the time you hear thunder is directly proportional to the distance the lighting is from where you are standing. Josh counted 12 seconds between seeing the lightning and hearing the thunder, and he knew that the lightning was about 5 miles away. If he counted 7 seconds between the next flash of lightning and thunder, about how far away was the lightning? Round to the nearest whole number.
Answers
Step 1: For solving this exercise, we need to know the speed of sound. We will calculate it this way:
Speed = Distance/Time
Replacing with the values Josh has.
Speed = 5 miles/12 seconds
Speed = 0.417 miles per second
Step 2: Now, let's calculate the distance after 7 seconds:
Using the same formula, we can find the distance, as follows:
Distance = Speed * Time
Distance = 0.417 * 7
Distance = 2.919
Distance = 3 miles (Rounding to the nearest whole number)
Step 3: Interpretation of the answer, as follows:
The lightning was 3 miles away when Josh counted 7 seconds between the next flash of lightning and thunder.
A knitter is planning to knit a blanket and refers to a chart showing the size of blanket that can be knited based on the amount of yarn available.Which statement is true?A.The dependent variable is the amount of yarn because that is the input and the independent variable is the size of the blanket because that is the output B. The dependent variable is the size of the blanket because that is the input and the independent variable is the amount of yarn became that's is the output C. The Independent variable is the amount of yarn because that is the input, and the dependent variable is the size of the blanket became is the output D.The independent variable is the size of the blanket because that is the input, and the dependent variable is the amount of yarn became that is the output for
Answers
Since the amount of yarn available is what defines the size of the blanket, the amount of yarn is the independent variable, and it is the input for the table or equation.
The size of the blanket depends on the amount of yarn, so the size of the blanket is the dependent variable, and it is the output of the table or equation.
Therefore the option that shows the true statement is C.
Sarah is going to invest $79,000 and leave it in an account for 7 years. Assuming the
interest is compounded quarterly, what interest rate, to the nearest tenth of a
percent, would be required in order for Sarah to end up with $121,000?
Answers
The interest rate that would be required in order for Sarah to end up with $121,000 is R=6.1%
What is meant by compound interest?Compound interest, often known as interest on principal and interest, is the adding of interest to the loan or deposit principal. It occurs when interest is reinvested, added to the lent capital instead of being paid out, or the borrower is required to pay it, resulting in the next period's interest being generated on the principal amount plus any accumulated interest. Finance and economics both use compound interest frequently.
compound interest allows for the accumulation of interest from prior periods.
Given that Sarah is going to invest $79,000 and leave it in an account for 7 years.
We have to assume that the interest is compounded quarterly then,
A=P[tex](1+(R/400))^{4n}[/tex]
121000=79000[tex](1+(R/400))^{28}[/tex]
(121000/79000)=[tex](1+(R/400))^{28}[/tex]
[tex](1.53)^{1/28}[/tex]= [tex](1+(R/400))[/tex]
1.0153=[tex](1+(R/400))[/tex]
0.0153=R/400
R=6.1372
R=6.1%
Therefore, the interest rate is R=6.1%
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The population of a small town is said to be decreasing exponentially at a rate of 2% every year. In the year 2020 the population is 24,597.If this rate continues what is the expected population in the year 2025? Round your answer to the nearest whole number
Answers
Using exponential function to calculate the exponential decrease, the population in 2025 is 22278
Exponential FunctionAn exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on. Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
We can write the function as
A = N(1 + r)⁻ˣ
x = timer = rateN = initial valueLet's plug in our values and solve
A = 24597(1 + 0.02)⁻⁵
A = 22,278
The population in 2025 is 22278
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4 Friends shot free throws for a charity event. Adam scored 8 more points than cheryl. Laura scored twice as many points as Adam. Tom scored 10 points less than Laura. Together the four friends scored a total of 66 points.Cheryl's Expression = Adam's Expression = Laura's Expression = Tom's Expression =State each person's points :Cheryl's points = Adam's points = Laura's points = Tom's points =
Answers
Let cheryl score "c", Adam score "a", Laura score "l" and Tom score "t", points.
Now, let's write equations for statements given.
Adam scores 8 more than Cheryl, so:
a = c + 8
or
c = a - 8
Laura scored twice as Adam, so:
l = 2a
Tom scores 10 less than Laura:
t = l - 10
or
t = 2a - 10
Altogether, they scored 66, so:
c + a + l + t = 66
Putting the 3 bold equations in the last one, we can solve for "a" first. Shown below:
[tex]\begin{gathered} c+a+l+t=66 \\ a-8+a+2a+2a-10=66 \\ 6a-18=66 \\ 6a=66+18 \\ 6a=84 \\ a=\frac{84}{6} \\ a=14 \end{gathered}[/tex]So,
c = a - 8
c = 14 - 8
c = 6
l = 2a
l = 2(14)
l = 28
t = 2a - 10
t = 2(14) - 10
t = 28 - 10
t = 18
So,
Adam = 14 points
Cheryl = 6 points
Laura = 28 points
Tom = 18 points
Petrol has a density of: 740 kg/m³ A container holds 12 litres of petrol. One litre is equal to 0.001 m³. What is the mass of the petrol?
Answers
The mass of the petrol is 8.88 kg.
Given, Petrol has a density of 740 kg/m³.
A container holds 12 litres of petrol.
One litre is equal to 0.001 m³.
As, Density = Mass/Volume
1 litre = 0.001 m³
12 litres = 0.012 m³
Now, using the formula, we get
740 = mass/0.012
mass = 740×0.012
mass = 8.88 kg
Hence, the mass of the petrol is 8.88 kg.
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please help with circles
Answers
Answer:
≈ 466 cm
Step-by-step explanation:
the total length of wire required is
outside sides of square + 4 straight pieces + circumference of circle
= (4 × 70) + (4 × 15) + (π d ← d is the diameter )
= 280 + 60 + 40π
= 340 + 125.66
= 465.66
≈ 466 cm ( to the nearest cm )
We need to find out the total length of wire needed to make this design. We can do this by finding out the perimeter of square and Circle and finally adding the lengths of the four 15cm wire used .
Given data:-
length of side of square= 70cmdiameter of Circle= 40cm , r = 20cm 15cm four wiresPerimeter of the square:-
[tex]\longrightarrow p_s = 4(side) \\ [/tex]
[tex]\longrightarrow p_s = 4(70cm) \\ [/tex]
[tex]\longrightarrow p_s = 280cm \\ [/tex]
Perimeter/circumference of the circle:-
[tex]\longrightarrow p_c = 2\pi r \\ [/tex]
[tex]\longrightarrow p_c = 2(3.14)(20cm) \\ [/tex]
[tex]\longrightarrow p_c = 125.71 cm \\ [/tex]
Additionally length of four wires would be 15cm*4 = 60cm .
So , total length of the wire required,
[tex]\longrightarrow l =( 125.71 + 280+60)cm \approx \boxed{466\ cm}\\ [/tex]
and we are done!
Two integers, c and d, have a product of -6. What is the greatest possible sum of cand d?
Answers
The greatest possible sum of c and d? is 5.
How to calculate the value?From the information, the product is -6. The numbers that can given this value include:
(-1) × (6) = -6
(-2) × (3) = -6
(-6) × 1 = -6
(-3) × (2) = -6
Therefore from the information, the number that will give the greatest sum will be:
-1 + 6
= 5
Therefore, the greatest sum is 5.
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The triangle has the sides AB = 4cm BC = 6cm AC = 8cmCalculate the triangles highest corner
Answers
Given: A triangle ABC with sides, AB= 4cm
BC=6cm and
AC=8cm
Required: To find out the triangle's highest corner.
Explanation: Let us first draw a triangle with given sides,
2x-5x-9 = -3x+2-9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. X=
O B. The solution is all real numbers.
O C. There is no solution.
Answers
By simplifiying the linear equation we will see that it is false, then the correct option is C, there are no solutions.
How to solve the linear equation?Here we have the following linear equation:
2x - 5x - 9 = -3x + 2 - 9
We want to solve this linear equation for the variable x, to do so, we need to isolate the variable x in one of the sides of the equation, so let's do that.
First we move all te terms with x to the left side and the terms without x to the right side, so we get:
2x - 5x + 3x = 2 - 9 + 9
(2 - 5 + 3)*x = 2
0*x = 2
0 = 2
So we have a false equation, this means that there is no value of x such that the equation is true, then the equation has no solutions, and the correct option is C.
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4x - 3y = –6 solve it
Answers
Answer:
3ggjurfyeyryeyryryryr
Answer:
see the answer
Step-by-step explanation:
4x-3y=1xy
Multiply: -3/10 • -5/12
Answers
Answer:
15/120 simplified is 1/8
I need help to solve part B and give my reasoning in two collum proof.
Answers
SOLUTION
3(a)
The diagram below would be helpful
From the diagram above, a segment has been made from C to O indicating the radius of the circle, so CO is a radius.
Also any line drawn from the center of a circle to touch the circumference is a radius, So, OB is a radius too.
Since CO and OB are radii of the circle, then their sides are equal,
Hence triangle COB is an isosceles triangle.
Also the line OA represents the radius of the circle just like CO. Since OA and CO are radii,
Hence triangle COA is an isosceles triangle.
(b) Statement: AOB is a straight line and at the center of a circle
Reason: Given
Statement: AOB is also an angle, which is 180 degrees
Reason: Angle on a straight line is 180 degrees
Statement: Angle AOB is an angle at the center of the circle, and angle C is at the circumference
Reason: same arc AB
Statement: Angle AOB = 2C
Reason: Angle at the center of a circle is twice angle at the circumference.
Hence
[tex]\begin{gathered} \angle AOB=2\angle C \\ 180\degree=2C \\ C=\frac{180}{90} \\ C=90\degree \end{gathered}[/tex]Therefore C is a right-angle (90 degrees)
do 11, 9 ,17 make a triangle
Answers
We use the followig property of triangles:
• One side cannot be equal or greater than the sum of the other two sides
The sides of this triangle are: 11, 9 and 17.
The sum of the first two sides is: 11+9=20
The sum of the two sides is greater than the other remaining side (17).
Thus, 11, 9 and 17 do not make a triangle.
50 points to the first person to answer this for me. Solve.
−2 1/3x=−1 3/4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Answers
Answer: [tex]x= \frac{3}{4}[/tex]
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Selena and Luis are building a model bridge out of balsa wood. To make a strong bridge, they create each post by laying out two long wooden poles horizontally, as shown in the diagram, and connecting them with smaller strips of balsa wood laid diagonally in a triangle pattern. The triangle pattern is continued down the entire length of the wooden poles.
The poles are 12 centimeters apart, and each small strip of balsa wood is 13 centimeters long.
If the two poles are each 100 centimeters long, how many small strips of balsa wood will they need to connect them?
Answers
Pythagoras theorem is used to find the length of sides in geometry. The number of strips of Balsa wood having length of 13cm is 8 approximately.
What is Pythagoras theorem?Pythagoras theorem states that the square of the hypotenuse in a right angled triangle is equal to the sum of the squares of the remaining two sides.
Given that,
The length of each pole = 100cm.
The distance between the pole = 12cm.
The length of each strip of Balsa wood = 13cm.
The diagram for the given question is as follows,
Apply Pythagoras theorem, h² = p² + b² in the given triangle to find the hypotenuse as,
h² = 100² + 12²
=> h² = 10144
=> h = 100.71
Now, the number of strips of balsa wood is equal to hypotenuse divided by 13 which is given as,
100.71 ÷ 13 = 7.74.
Hence, the number of small strips of Balsa wood is 8 approximately.
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