Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet,and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of thehill after t seconds is given by the polynomial -16 + vt + h. Find the height of the ball after 2 seconds if it waskicked from the top of a 20 foot tall hill at 72 feet per second.O 100 ftO 32 ftO 20 ftO 132 ft
Answers
we have the equation
[tex]f(t)=-16t^2+vt+h[/tex]given values
t=2 sec
v=72 ft/sec
h=20 ft
substitute given values
[tex]\begin{gathered} f(t)=-16(2)^2+72\cdot2+20 \\ f(t)=100\text{ ft} \end{gathered}[/tex]therefore
the answer is the first optionRelated Questions
Find the surface area of each figure. Round your answers to the nearest hundredth. DO
NOT leave in terms of pi.
Answers
The surface area of the figure is calculated as 150.72 [tex]mi^2[/tex] and when rounded off to the nearest hundredth, it comes out as 151 [tex]mi^2[/tex].
What is Surface area?A solid object's surface area can be stated as a measurement of the overall space that the object's surface takes up. As an alternate, surface area can also be described as the area of the entire outer part, or which is said as the uppermost layer of any kind of 3D object.
Square units are used in the calculation. The total area of all the outside surfaces makes up the surface area of a three-dimensional object, which is also expressed in square units.
As an example, we can take that in order to find the exact surface area of a cuboid, we have to add the areas of all 6 faces.
In this figure, we can see that it can be stated as a cylinder.
So, as we know the formula of the surface area of a cylinder can be written as:
2[tex]\pi[/tex]rh + 2[tex]\pi r^2[/tex]
Here r = 8/2
=4 mi
h = 2 mi
Thus, putting the values, we have,
Surface area = [2 x 3.14 x 4 x 2] + [2 x 3.14 x 4 x 4]
= 50.24 + 100.48
= 150.72 [tex]mi^2[/tex]
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Jena's income is $3800 a month, and she plans to budget 13 of her income for savings and 16 of her income for groceries.
What fraction of her income does she plan to spend each month on these two items together?
Answers
The fraction of Jena's income does she plan to spend each month on these two items together is 1/2
The fraction of her income does she plan to spend each month on the two itemsJena's income for the month = $3800Fraction of Jena's income for savings = 1/3Fraction of Jena's income for groceries = 1/6Amount of Jena's income spent on savings = 1/3 × $3800
= 1266.666666666666
Approximately,
= $1,266.67
Amount of Jena's income spent on groceries = 1/6 × $3800
= 633.3333333333333
Approximately,
= $633.33
Amount spent on the two items = $1,266.67 + $633.33
= $1900
Fraction of Jena's income spent on the two items = 1/3 + 1/6
= (2+1) / 6
= 3/6
= 1/2
So therefore, Jena spent 1/2 of her income on savings and groceries.
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Select the correct figures
Answers
The correct answer is the figure
A shirt costs ₹(a2 –ab -b2 ) , a pair of trousers cost ₹(2a2 +8ab-2b2 ) and a pair of shoes cost ₹(a2 –3ab+4b2 ) .After collecting these three items from the store, Ranjan paid ₹(2a+b )2 .What balance will Ranjan receive from the cashier ?
Answers
The balance Ranjan will receive from the cashier is ₹ 0
How to determine the balanceBased on the information given, we have that;
shirt costs ₹(a² –ab -b² ) pair of trousers cost ₹(2a² +8ab-2b² ) pair of shoes cost ₹(a² –3ab + 4b² ) Ranjan paid ₹(2a+b )2Now, expand the bracket for the payment, we have;
(2a+b )²
(2a +b) (2a + b)
Multiply through
4a² + 2ab + 2ab + b²
Add like terms
4a² + 4ab + b²
Now, let's add the amount for the items bought
a² –ab -b² + 2a² +8ab-2b² + a² –3ab + 4b²
add like terms
4a² + 4ab + b²
Now, subtract the amounts
4a² + 4ab + b² - 4a² + 4ab + b²
₹ 0
Hence, the balance is ₹ 0
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The midpoint of segment AB is (2,4). If the coordinates of point B are (5,7), find the coordinates of point A.
A (1, 1)
B (-1, 1)
C (1, -1)
D (-1, -1)
Answers
Answer:
I don't know why you asking me??
Answer:-1,1
Step-by-step explanation:
-1,1
[tex]k(x) = 3(2) {}^{x} - 8[/tex]. Is the function linear, quadratic, exponential or neither?
Answers
An exponential function is defined as a function of the form:
[tex]f(x)=a(b)\placeholder{⬚}^x+c[/tex]where a, b and c are constants.
We notice that the function given has this form, therefore the function given is an exponential function.
Determine the equation of the line that passes through the points (0,−10) and (−8,1).
Answers
Solution:
Given the points below;
[tex]\left(0,−10\right)\text{ }and\text{ }(−8,1)[/tex]To find the equation of the line that passes through the points, we will apply the formula below
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]Where
[tex]\begin{gathered} (x_1,y_1)=(0,-10) \\ (x_2,y_2)=(-8,1) \end{gathered}[/tex]Substitute the values of the coordinates into the formula above
[tex]\begin{gathered} \frac{y-(-10)}{x-0}=\frac{1-(-10)}{-8-0} \\ \frac{y+10}{x}=\frac{1+10}{-8} \\ \frac{y+10}{x}=-\frac{11}{8} \\ Crossmultiply \\ 8(y+10)=-11(x) \\ 8y+80=-11x \\ 11x+8y+80=0 \end{gathered}[/tex]Hence, the equation of the line is
[tex]11x+8y+80=0[/tex]The graph is shown below with the points indicated using a graphing tool
A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $1,253.07, and the tax rate in the area is 7.1%, what was the pre-tax subtotal?
Answers
To answer this question, we can proceed as follows:
1. We have that the after-tax total was $1,253.07.
2. We have that the tax rate in the area is 7.1%.
3. Then to find the pre-tax subtotal, we can proceed as follows:
[tex]7.1\%=\frac{7.1}{100}=0.071[/tex]Therefore, we have:
[tex]x+0.071x=1253.07[/tex]4. Finally, we need to add the like terms as follows:
[tex]1.071x=1253.07[/tex]And using technology, we can divide both sides by 1.071:
[tex]\begin{gathered} \frac{1.071}{1.071}x=\frac{1253.07}{1.071} \\ \\ x=1170 \\ \end{gathered}[/tex]Therefore, the pre-tax subtotal is $1,170.
What’s the slope I need help
Answers
Answer:
-8/3
Step-by-step explanation:
You want the slope of the line shown in the graph.
Slope from point coordinatesWhether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.
It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(4 -1) = -8/3
The slope of the line is -8/3.
Counting grid squaresThe slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.
rise/run = -8/3 = slope of the line
work out the sale has been decreased
20% of 120
Answers
The current amount of the sale is 96
How to find the current amount of the sale ?The sale is 120
It was decreased by 20%
20/100 × 120
= 0.2 × 120
= 24
The amount of the current sale is
120-24
= 96
Hence the amount of the current sale which is calculated by subtracting 24 from 120 is 96
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Describe in extension each of the following sets:a) A is the set of positive integers less than 8.C) C is the set of digits of the number 12353888D) D is the set of courses you are enrolled in.
Answers
a. All positive integers are greater than 0,
we can express this as a set which positive integers less than 8, A = {1, 2, 3, 4, 5, 6, 7}.
This is a Finite Set.
b. The number 12353888 has a set of digits, 1, 2, 3, 5 and 8 and can be expressed as C = {1, 2, 3, 5, 8}
This is also a Finite Set.
c. The set of courses you are enrolled depends on the number of courses. We can express this as
D = {course1, course2, course3, ...}
This is Universal Set.
Please help me with this, show full work for all questions, thank you!Question 3
Answers
Answer:
0.375
Explanation:
The probability of red and purple can be calculated as the frequency for rean and purple over the total frequency
Red has a frequency of 4
Orange has a frequency of 1
Yellow has a frequency of 1
Green has a frequency of 7
Blue has a frequency of 1
Purple has a frequency of 2
The total frequency is
4 + 1 + 1 + 7 + 1 + 2 = 16
And the frequency for red and purple is
4 + 2 = 6
Then, the probability is equal to
P = 6/16 = 0.375
So, the answer for question 3 is 0.375
Find the slope between the points with coordinates
(-2,3) and (4, 5).
Answers
Answer:
1/3 or 2/6
Step-by-step explanation:
you just plug the coordinates into a calculator and look at the rise over run.
Find the image of D (0, -2) after the composition of translations
(x, y) → (x+10, y − 8) and (x, y) → (x − 7, y + 15).
Answers
The ordered pair that represents the image of the point after the transformation is (3, 5)
How to determine the transformation of the point?The ordered pair of the point is given as
D = (0, 2)
The above point is an ordered pair on a coordinate plane
The sequence of transformations of the points is given as
(x, y) → (x+10, y − 8) and (x, y) → (x − 7, y + 15).
When the above transformations are applied on the point, we have:
So, we have the following equation
(x, y) → (x + 10 - 7, y − 8 + 15)
Evaluate the sum and the difference
So, we have the following equation
(x, y) → (x + 3, y + 7)
Recall that
D = (0, -2)
So, we have
D' = (0 + 3, -2 + 7)
Evaluate
D' = (3, 5)
Hence, the image of point D is (3, 5)
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please hurry. I need help on all three questions. please show working clearly.
Answers
Can somebody please help me right now??? i’m stuck and i need help with this bad
Answers
Answer:
Step-by-step explanation:
The answer is B!
solve x=y+4, where x=3
Answers
if x=3 we get
[tex]3=y+4\rightarrow y=3-4=-1[/tex]A person takes 50 minutes average to get to work. Time may vary by 10 minutes depending on traffic. Drag and drop the correct number or equation in each box to make the sentences true. "If the time taken by the person to get to work is T minutes, the equality that models this situation is_____ the minimum time taken by the person to get to work is _____min, the maximum time taken is____min.
Answers
Answer:
"If the time taken by the person to get to work is T minutes, the equality that models this situation is | t - 50 | = 10 the minimum time taken by the person to get to work is 40 min, the maximum time taken is 60 min.
Step-by-step explanation:
The difference between the time and 50 minutes is 10 minutes.
This can be expressed as:
|t - 50| = 10The minimum and maximum time can be found by solving the equation above:
t - 50 = 10 ⇒ t = 60 minutes,t - 50 = - 10 ⇒ t = 40 minutes.The blanks to be filled in as:
1) | t - 50 | = 10,2) 40,3) 60.A circle has a center at (4, -7) and a radius of 4 units. What is the equation of this circle?
O (4)² + (y + 7)² = 16
O (x + 4)² + (y + 7)² = 4²
O(x-4)² + (y - 7)² = 16
O(x + 4)² + (y - 7)² = 4²
Answers
the equation for the circle with radius, r = 4 units and center =(4,-7)
will be (x-4)² + (y+7)² = (4)².
When the center and radius of a circle are known, how do you determine its equation?
Use the formula (x-a) ² + (y-b) ² = r ² to determine a circle's equation when you are aware of its radius and center. Here, stands for the circle's center, and is its radius. This equation is essentially a variant way of writing the general equation for a circle.
In this question,
we are given the center of our circle to be,
(4,-7) ≈ (a,b)
thus we are given,
a = 4
and b = -7
and we are given the radius to be 4units
substituting these values in the above equation,
(x-4)² + (y-(-7))² = (4)²
= (x-4)² + (y+7)² = (4)²
Hence the equation for the circle with radius, r = 4 units and center =(4,-7)
will be (x-4)² + (y+7)² = (4)².
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a salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar is needed for 2 cups of olive oil?
Answers
the answer is 1 1/4 cups of vinegar
Step-by-step explanati
Evaluate 14xy if x=−23 and y=35 . Write your answer as a fraction in simplest form.
Answers
Answer: -11270
Step-by-step explanation:
14xy = -11270 x=-23 y=35
14(-23)(35) = -11270
please look at screenshots
Answers
When the linear correlation coefficient is 1 there is a perfect positive linear relation between the two variables. Scatter diagram would contain points that all lie on a line with a positive slop.
What is coefficient coorelation?A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.
A correlation coefficient is a metric that expresses a correlation, or a statistical link between two variables, in numerical terms. Two columns of a specific data set of observations, sometimes referred to as a sample, or two parts of a multivariate random variable with a known distribution may serve as the variables.
The strength and direction of the linear links between two sets of variables are evaluated using correlation coefficients. Use Pearson's correlation coefficient if both variables are regularly distributed; otherwise, use Spearman's correlation coefficient.
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Please help which best explains an effect of the Diaspora on Jewish people?
Answers
The BEST explanation of the effect of the Diaspora on Jewish people is d) They developed new rituals to accommodate the loss of the Temple.
What new rituals were developed by the Diaspora Jews?Some of the new rituals developed by the Diaspora Jews included:
Accommodating plenty of other cultures from different geographies.Utilizing the Torah to represent the symbol of God.Elevation of prayer and deeds of lovingkindness as ways to connect to God instead of the Temple.The Diaspora did not affect the Jewish people by dividing their homeland, making the destroyed Temple of Jerusalem the center of their religiosity, or making Rabbis insignificant.
Thus, the Diaspora affected the Jewish people in Option D.
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Question Completion with Answer Options:a) Their homeland was divided into Israel and Judah.
b) The Temple of Jerusalem became the center of religious activity.
c) Rabbis no longer served as significant religious leaders.
d) They developed new rituals to accommodate the loss of the Temple.
In the expression below, what operation should be done first?
4 + 8 ÷ 2
Answers
Answer:
Division
Step-by-step explanation:
Using the tool PEMDAS, you will see the order that you must complete an equation in, P=Parenthesis E=Exponents M=Multiplication D=Division Addition S=Subtraction
Please answer this question with an explanation. Thank you. :)
Answers
The rate is positive because she is withdrawing funds from her account. So, Option C is the correct option.
What is the rate of change?The momentum of a variable is represented by the rate of change, which is used to mathematically describe the percentage change in value over a defined period of time.
How do you calculate the slope's rate of change?The slope of a graphed function is determined using the average rate of change formula. Divide the change in y-values by the change in x-values to find the average rate of change.Jessica's savings account balance is plotted against the number of months.
Rate of withdrawal from her account is given as:
Amount in Savings account/Number of months
= 1000/10
= 100 dollars/month
Therefore, Jessica is withdrawing 100 dollars per month from her savings account.
As a result, the rate is positive because she is taking money out from her account. Option C is thus the right option.
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solve the triangle. round to the nearest tenth A B 16 14 С
Answers
According the question
Side AC of the triangle = 16
Side BC = 14
The opposite side of the triangle is AC = 14
The adjacent side of the triangle is BC = 16
Using SOH CAH TOA
[tex]\begin{gathered} \text{Tan }\theta\text{ = }\frac{opposite}{\text{adjacent}} \\ \text{Tan }\theta\text{ = }\frac{14}{16} \\ \text{Tan }\theta\text{ = 0.875} \\ \theta\text{ = arc tan of 0.875} \\ \theta=tan^{-1}(0.875) \\ \theta\text{ = 41. 18 degre}es \\ To\text{ the nearest tenth} \\ \theta\text{ = 41.2 degre}es \end{gathered}[/tex]Answer To this question so that we can move onto the next question so that we can get done with all this homework so we can go play
Answers
We need to transform a number that is written in scientific notation to the standard notation. For that we have to move the dot to the right, because the exponent of the power is positive, every time we do that we will subtract one from the exponent. When there is no more dot we will add zeros. This is done below:
[tex]\begin{gathered} 2.07\cdot10^5 \\ 20.7\cdot10^4 \\ 207\cdot10^3 \\ 2070\cdot10^2 \\ 20700\cdot10 \\ 207000 \end{gathered}[/tex]The correct answer is 207,000.
triangle ABC has a>b>c. if one of the angles in the triangle is 60 degrees, name the angle that can be equal to 90degrees
Answers
Answer:
Angle a
Step-by-step explanation:
the sum of the interior angles of a triangle is 180. If one angle is 60 and another angle is 90, then the third angle has to be 30.
60 + 90 + 30 = 180
90>60>30
The local grocery store is having a sale on sports drinks. For a particular brand ofsports drink, a 12-pack of 16-ounce bottles costs $10. 76. What is the unit price(per ounce) for the sports drink? Round your answer to the nearest cent.
Answers
The 12-pack contains bottles of 16 ounces each.
The total content of sports drinks is 12 × 16 = 192 ounces.
The unit price per ounce is the ratio of the total price to the total contents:
[tex]p=\frac{10.76}{192}=0.06[/tex]The unit price per ounce is $0.06
Which of the following best describes AD?17D17сA. MedianB. AltitudeC. Perpendicular bisectorD. Angle bisector
Answers
The median of a triangle is a line segment joining a vertex to the midpoint of the opposite side thus bisecting that side.
Hence, Median best describes the line.
Option A is the correct option,