Answers
.. A = (1/2)*b*h
.. 36 in^2 = (1/2)*b*(9 in)
.. (72 in^2)/(9 in) = b . . . . . . . . multiply by 2, divide by 9 in
.. 8 in = b
The base is "none of the above", 8 inches.
_____
This question has a couple of problems:
.. 1) area is not measured in "inches"; it is measured in "square inches."
.. 2) ALL of the offered answer choices are INCORRECT.
Related Questions
Find the number, if 5/7 of it is 15
Answers
Divide 15 by the numerator so we can find 1/7.
15/5= 3
3*7= 21
The number is 21.
I hope this helps!
~kaikers
The number is 21.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = M
5/7 of M = 15
This can be written as,
(5/7)M = 15
M = 15 x 7/5
M = 3 x 7
M = 21
Thus,
The number is 21.
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Billy drops a water balloon from the roof of his house since the balloon begin with an original velocity of zero how far above ground was the balloon dropping if it took 2.5 seconds to hit the ground
Answers
it takes an object the ground times the constant gravity. in this case 2.5 seconds times 9.807 meter per square second will then give us the 30.65 meter.
have a nice day!
A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (1.1%, 3.4%). what is the point estimator of the mean percentage of reservations that are canceled on the day of the flight?
Answers
Confidence intervals are centered around a point estimate; that is, the point estimate is in the very middle of the confidence interval. We can find the point estimate by averaging both ends of the confidence interval together:
(1.1+3.4)/2 = 2.25.
plz help! 7th grade advanced math!!!!! A car travels 1 /6 of the distance between two cities in 3/ 5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?
Answers
1. James buys a video game for his Xbox for $49.99, a controller for $34.95, and a walk through manual for $19.99. The sales tax in his area is 8.25%. What will be the total cost of his purchase?
Answers
$113.59 is the total cost with tax.
Let's do this step by step.
First, add up the costs of the Xbox, controller, and the walk through manual.
49.99 + 34.95 + 19.99 = 104.93
The total cost of the three items (not including tax) is $104.93.
Sales tax is a tax paid on goods and services, which means it would be added onto the purchase.
To calculate the sales tax, convert the percentage of tax to a decimal, and then multiply the cost of the goods by the decimal, and finally add the two together.
8.25% ÷ 100 = 0.0825
104.93 × 0.0825 = 8.656725
Add the tax to the cost of the items:
104.93 + 8.656725 = 113.586725
This can be rounded to 113.6 to the nearest tenth.
ANSWER:
The cost of James' total purchase will be $113.6.
An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 0.3 rad, b = 0.85 rad/s2 and c = 0.035 rad/s3
Answers
At t = 2 seconds, the angular position of the point on the amusement park ride is approximately 3.42 radians.
We have,
The equation θ(t) = a + bt² - ct³ represents the angular position of a point on the amusement park ride as a function of time.
Given:
a = 0.3 rad
b = 0.85 rad/s²
c = 0.035 rad/s³
In this equation,
θ(t) represents the angular position of the point on the ride at time t.
The term a is the initial angular position when t = 0, which is 0.3 radians.
The term bt² represents the angular displacement due to the linearly increasing angular velocity.
The coefficient b determines the rate of change of the angular displacement over time.
The term -ct³ represents the angular displacement due to the cubic decrease in angular acceleration.
To find the angular position at a specific time t, substitute the given values of a, b, c, and the desired value of t into the equation
θ(t) = a + bt² - ct³.
For example, if we want to find the angular position at t = 2 seconds:
θ(2) = 0.3 + 0.85 * (2²) - 0.035 * (2³)
= 0.3 + 0.85 * 4 - 0.035 * 8
= 0.3 + 3.4 - 0.28
= 3.42 radians
Therefore,
At t = 2 seconds, the angular position of the point on the amusement park ride is approximately 3.42 radians.
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The angular position of a point on a ride is given by the equation θ(t) = a + bt² - ct³. Factors such as the moment of inertia can change the angular acceleration in the system. When a child is on the merry-go-round, the moment of inertia increases, leading to a decrease in angular acceleration.
Explanation:The angular position of a point on an amusement park ride can be described by the equation θ(t) = a + bt² - ct³. In this equation, angular position is represented by θ(t), 'a' represents the initial angular position (0.3 rad), 'b' represents the angular velocity (increase in angular position per unit time - 0.85 rad/s2) and 'c' is the rate of change in angular velocity or the angular acceleration (0.035 rad/s3).
The angular acceleration can change due to factors such as a change in the moment of inertia. For example, when a child is on a merry-go-round, the combined moment of inertia is greater, therefore reducing the angular acceleration. The moment of inertia depends on factors such as the mass and the location of that mass relative to the axis of rotation. The child can be approximated as a point mass at a distance of 1.25 m from the axis of rotation.
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define a variable and write each phrase as an algebraic expression
2 less than one-third of the points that the Panthers scored
Answers
1/3y - 2
Hope this helps!
Carson buys three pencils at $0.35 each, a box of crayons for $2.86, four notebooks at $1.99 each, and two pens at $1.09 each. Estimate the amount he spent on school supplies.
Answers
Answer with Step-by-step explanation:
Carson buys three pencils at $0.35 each.
Cost of 1 pencil=$0.35
So, Cost of 3 pencils=$1.05 (0.35×3=1.05)
Buys a box of crayons for $2.86.
four notebooks at $1.99 each.
Cost of 1 notebook=$1.99
So, Cost of 4 notebooks=$7.96 (1.99×4=7.96)
and two pens at $1.09 each.
Cost of 1 pen=$1.09
So, Cost of 2 pens=$2.18 (1.09×2=2.18)
We have to estimate the amount he spent on school supplies.
Total Amount spent=$(1.05+2.86+7.96+2.18)
= $14.05
Hence, Total amount spent by Carson on school supplies is:
$14.05
What methods can be used to solve quadratic equations?
Answers
Which of the following shows the graph of y = 4x + 3?
Answers
The graph of [tex]y=4x+3[/tex] is a line with a slope of 4, meaning for every unit moved to the right on the x-axis, you move up four units on the y-axis. The y-intercept is 3, so the line intersects the y-axis at the point (0,3). We plot these points and draw the line through them for the complete graph.
Explanation:The question asks, which of the following shows the graph of [tex]y = 4x + 3?[/tex]This is a linear equation in the format of y=mx+b, where 'm' is the slope of the line and 'b' is the y-intercept. In this case, 'm' is 4, so for every step you move to the right on the x-axis, you move four steps up on the y-axis. 'b' is 3, so the line intersects the y-axis at the point (0,3). To graph this equation, start at the point (0,3) and for every 1 unit you move to the right, move up by 4 units. Repeat this process with other values of x to find corresponding values of y. Points are then plotted on the graph and a line is drawn through them showing the relationship between x and y.
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The radius of a globe is 7.5 inches. What is the volume of the globe? Use 3.14 for pi.
Answers
The radius of a globe is 7.5 inches. What is the volume of the globe? Use 3.14 for pi.
Volume of the globe=[tex] \frac{4}{3} \pi r^{3} [/tex]
Volume of the globe=[tex] \frac{4}{3}*3.14*7.5^{3} [/tex]
Volume=[tex] \frac{4}{3}*3.14*421.875 [/tex]
Volume=[tex] \frac{4}{3}*1324.6875 [/tex]
Volume=[tex] \frac{5928.75}{3} [/tex]
Volume=1766.25[tex] inches^{3} [/tex]
Volume of Globe=1766.25[tex] in^{3} [/tex]
Answer: 1766.25
Step-by-step explanation: tryust
A British company is sending you measurements for a table to build in your factory. The table top must be 50 cm × 75 cm. Your machine calibrates in inches. Find the size of the table in inches. (1 cm = .39 in) A. 89 in × 114 in B. 11 in × 36 in C. 19.5 in × 29.25 in D. 128.2 in × 192.3 in
Answers
Answer: C. 19.5 in × 29.25 in
Step-by-step explanation: (50 x .39) x (75 x .39)
In playing Monopoly, rolling doubles three times in a row sends you to jail. What is the probability of rolling three consecutive doubles? a. 0.167 b. 0.5 c. 0.00463 d. 18.0
Answers
1/(6*6*6) ...............
Write an equation for the parabola whose vertex is at (4, 9) and which passes through (5, 24).
Answers
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.
From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15
Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
This is the equation
Find h(x, y) = g(f(x, y)). g(t) = t + ln(t), f(x, y) = 4 − xy 2 + x2y2 h(x, y) =
Answers
The function h(x, y) is given by the composition of the functions g(t) and f(x, y). With the given expressions for f and g, the function h(x, y) = g(f(x, y)) equals to (4 - xy^2 + x^2y^2) + ln(4 - xy^2 + x^2y^2).
Explanation:The question asks to find the function h(x, y) from the functions g(t) and f(x, y), where g(t) = t + ln(t), and f(x, y) = 4 − xy^2+ x^2y^2. To begin with, it is necessary to substitute f(x, y) in place of 't' in function g which is g(f(x, y)), since we have h(x, y) = g(f(x, y)).
Performing the substitution, we obtain:
h(x, y) = g(f(x, y)) = (4 - xy^2 + x^2y^2) + ln(4 - xy^2 + x^2y^2).
This is your final function h in terms of x and y.
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Lucy's employer pays 70% of the total cost of her family's health insurance plan, while Lucy pays the rest. If the total cost of the plan will increase from $450 per month to $650 per month, how much more will Lucy have to pay each month?
Answers
Lucy pays 30% of $450 = 0.3 x 450 = $135
At $650,
Lucy pays 30% of $650 = 0.3 x 650 = $195
$195 - $135 = $60
Lucy will have to pay $60 more each month
Lucy will have to pay $60 more each month.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Lucy's employer pays 70% of the total cost of her family's health insurance plan, while Lucy pays the rest. Then Lucy will be only 30%.
If the total cost of the plan will increase from $450 per month to $650 per month.
At $450, Lucy pays 30% of $450 = 0.3 x 450 = $135
At $650, Lucy pays 30% of $650 = 0.3 x 650 = $195
Then Lucy has to pay each month more will be
⇒ $195 - $135
⇒ $60
Lucy will have to pay $60 more each month.
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plz help tyyy :))))))))))))))))))))
Answers
_____
You really should learn how to use your graphing calculator.
I just plugged this into a graphing calculator, just as the equations were written.
So, the y=x+1 was a straight line. The other one was a parabola.
They intersected at point (-1,0) and (4,5)
(4,5) and (-1,0) <== the answer
I hope this helps!
~kaikers
Please help me with questions 5, 6, and 7
Answers
Notice how the angle U is between WU and VU. Similarly, angle X is beween ZX and XY
The order is very important. The angles must be between the two pairs of sides.
-----------------
Answer to problem 6 is C) 15/17.
Use the pythagorean theorem to find the hypotenuse AC to be 17 units. Then take the ratio of the adjacent and hypotenuse to get the answer.
------------------
Answer to problem 7 is choice C
Use the rule cos(90-x) = sin(x) where x = 72-a
What is the truth value for the following conditional statement? If the snow is white, then the grass is red.
Answers
Final answer:
The truth value of the conditional statement 'If the snow is white, then the grass is red' cannot be determined to be true or false without context, as it is a statement that requires evaluation of its antecedent and consequent. In logic, a conditional statement is true unless the antecedent is true and the consequent is false.
Explanation:
The truth value for the conditional statement "If the snow is white, then the grass is red," cannot be evaluated as true or false based solely on the content of the statement. In logic, a conditional statement is considered to be true unless a situation occurs where the first part (the antecedent) is true and the second part (the consequent) is false.
Here, the statement "the snow is white" is true, but the statement "the grass is red" can be false, as grass is typically green. This illustrates an important logical principle where the truthfulness of a conditional does not require that the consequent actually follows from the antecedent. To evaluate the truth of a conditional statement, it would be more appropriate to look for a counterexample that disproves it or involves a scenario where the antecedent is true and the consequent is false.
Write a Multiplication expression that shows 10 sixths
Answers
The line of best fit for a scatter plot is shown: A scatter plot and line of best fit are shown. Data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line of best fit passes through the y-axis at 1 and through the point 4 and 3. What is the equation of this line of best fit in slope-intercept form?
Answers
Answer:
y = (1/2)x +1
Step-by-step explanation:
Given the two points on the line are (0, 1) and (4, 3), the line's equation can be written using the two-point form:
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
y = (3-1)/(4-0)·(x -0) +1 . . . . use the given point values
y = (1/2)x +1
Answer:
y = (1/2)x +1
Step-by-step explanation:
Given the two points on the line are (0, 1) and (4, 3), the line's equation can be written using the two-point form:
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
y = (3-1)/(4-0)·(x -0) +1 . . . . use the given point values
y = (1/2)x +1
Step-by-step explanation:
a carpenter is making a brace for a chair to do so she intersects two pieces of wood to make two sets of vertical angles the obtuse angles formed are each 145 degrees what is the measurement of each acute angle formed?
Answers
obtuse + acute = 180
obtuse = 145
145 + acute = 180 subtract 145 from both sides.
acute = 180 - 145
acute = 35
Sketch the asymptote and graph the function y=8/(x+3)-2
Answers
Answer:
Please find the attached file.
Step-by-step explanation:
Given: [tex]y=\dfrac{8}{x+3}-2[/tex]
We need to draw the graph of function with asymptote.
For horizontal asymptote:-
[tex]x\rightarrow \infty[/tex]
[tex]y=\lim_{x\rightarrow \infty}(\dfrac{8}{x+3}-2)=-2[/tex]
HA: y=-2
For vertical asymptote:-
[tex]y\rightarrow \infty[/tex]
[tex]x+3=0[/tex]
VA: x=-3
For x-intercept, Put y=0
(1,0)
For y-intercept, Put x=0
(0,2/3)
Now we will plot on graph and draw the graph.
Please see the attachment for graph.
What would be the radius of A= 907.46 square feet
Answers
√289=√r²
17=r
About 50.4 billion pieces of unopened junk mail ends up in landfills each year. This is about 48% of all the junk mail that is sent annually. How many pieces of junk mail are sent annually?
Answers
you find 48% of 50.4 billion
2 ways to do :
(50.4/100) *48
or
50.4 * (48/100)
Find the missing term of the following sequence. . . . –2, __, 456, . . .
Answers
The answer should be
228
glenn races his motorcycle 30 times last season. he finished first 12 times, second 5 times and crashed in 9 races. what percent of the races did he crash? set up a proportion and solve.
Answers
[percent of the races did Glenn crash]={[races crashed]/[total races]}*100
[percent of the races did Glenn crash]={[9]/[30]}*100
[percent of the races did Glenn crash]=[0.30]*100=30%
the answer is 30%
Rewrite the equation in vertex form. y = x2 - 6x + 18
Answers
I hope this helps
Vertex form is (x-h)^2+k
meaning that the vertex is located at (h,k).
[tex]y=x^2-6x+18[/tex]
[tex]=(x^2-2(3x)+9)+9[/tex] 3^2=9
[tex]=(x-3)^2+9[/tex]
vertex form, h=3, k=9, vertex is located at (3,9)
Edited 2018-03-18
There was a suggestion to explain the completion of square as
x^2-6x=(x-3)^2-9.
However, this does not show where the (x-3) come from.
If this is a better explanation for any or all of you, here it is.
The line graphed below has a slope of ____.
-3
-1/3
1/3
3
Answers
.. -3/1 = -3
The 1st selection is appropriate.
_____
Given the choices, you can tell at a glance that -3 is the correct one. When it goes down to the right, the slope is negative. when the angle is steep, the slope has a magnitude greater than 1. Of the negative choices offered, {-3, -1/3}, the obvious choice is -3.
A line has a slope of ±1 when it makes a 45° angle with the x- and y-axes. Steeper than that is a slope whose magnitude is greater than 1. Shallower than that, and the slope has a magnitude less than 1.
_________________________________________________
By inspecting the graph: The slope = Δy / Δx = 6/-2 = -3 .
_________________________________________________
what is the answer to this solve for h 12h=180