The statements are true about the given expressions include the following:
When x = 2, both expressions have a value of 18.The expressions have equivalent values for any value of x.The expressions have equivalent values if x = 8.How to determine whether the expressions are equivalent?In order to determine whether these expressions are equivalent, we would evaluate the two expressions based on each of the statements:
"When x = 2, both expressions have a value of 18"
7x + 4 = 7(2) + 4 = 14 + 4 = 18.
3x + 5 + 4x - 1 = 3(2) + 5 + 4(2) - 1 = 6 + 5 + 6 - 1 = 18.
"The expressions are only equivalent for x = 4 and x = 6." is false has demonstrated above.
"The expressions have equivalent values for any value of x." is true.
Let x = 1;
7x + 4 = 7(1) + 4 = 7 + 4 = 11.
3x + 5 + 4x - 1 = 3(1) + 5 + 4(1) - 1 = 3 + 5 + 4 - 1 = 11.
Let x = 10;
7x + 4 = 7(10) + 4 = 70 + 4 = 74.
3x + 5 + 4x - 1 = 3(10) + 5 + 4(10) - 1 = 30 + 5 + 40 - 1 = 74.
"The expressions should have been evaluated with one odd value and one even value." is false because all values of x are solutions.
"When x = 0, the first expression has a value of 4 and the second expression has a value of 5." is false because the two expressions are equivalent expressions.
In conclusion, "The expressions have equivalent values if x = 8." is true because the two expressions are equivalent expressions.
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[tex]5^{2}+ 10^{2} \neq 15^{2}[/tex]
(1 point)
In 2003, the price of a certain automobile was approximately $31,500.00 with a depreciation of $2,280.00 per year. After how many years will
the car's value be $17,820.00?
a) Write an equation to model the problem. Let t represent the number of years after 2003.
Answer:
b) Solve the equation to answer the question above. (Note: Include the units, in this case years.)
Answer:
Answer:
y = -2280x + 31,500
or
when x = 6
so 6 years
Step-by-step explanation:
y = -2280x + 31,500
y = -2280(6) + 31,500
y = -13,680 + 31,500
y = 17,820
or a science experiment, Tibs dropped two different balls from various heights and recorded the height of the first
unce. The graph shows the data for ball A (the solid line) and ball B (the dashed line). What was the height of the f
punce of ball A when the initial height of the ball was 5 feet? What was the initial height of ball B that resulted in a be
eight of 2 feet?
Click the icon to view the graph.
e height of the first bounce of ball A was
pe an integer or a decimal.)
feet when the initial height of the ball was 5 feet.
r your answer in the answer box and then click Check Answer.
art savas realize
The gravity is working. Energy-based items are affected by gravity. The vertical motion model, h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball.
Why is initial height important?The distance traveled in flight increases with release level. This is because the projectile will stay in the air longer if it is launched higher. The projectile will be under the influence of the horizontal component longer.
The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.
Greater maximum height is associated with greater launch angles.
Greater relative projection height results in longer flight time, which increases horizontal displacement when projection speed is constant.
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Type SSS, SAS, ASA, AAS, or HL to justify why triangle ABC is congruent to triangle AED.
BC = ED
The congruency of triangle ABC and triangle AED is based on SAS ( Side Angle Side )
What are congruent triangles?The term congruent triangles refer to triangles that are equal in size of sides as well as size of the angles corresponding to each side or angle.
The congruent triangle theorem are of some basic theorems which include
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle Side HL: Hypotenuse Leg ( for right angle triangles only )As regards the question the theorem used is the Side Angle Side - SAS. This has it that the two sides and the included angle are equal.
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Answer: AAS
Hope this helps!
a country's population and the growth rate in 2011 are given below. assume the growth rate remains the same from year to year. Use this information and an exponential model to estimate the country's population in the specified yearpopulation = 105 milliongrowth rate = -0.657%year, 2024the size of the population in 2024 will be about ____ million (round to the nearest hundredth as needed)
A general exponential model can be described by:
[tex]P(x)=A\cdot b^x[/tex]Where A is the initial condition, and b is the growth factor. From the problem, P is the population (in millions); if x is the number of years passed since 2011, then x = 0 in 2011:
[tex]105=A\cdot b^0\Rightarrow A=105[/tex]We know that the growth rate is -0.657% = -0.00657. The growth rate r and the growth factor b are related by:
[tex]b=1+r\Rightarrow b=1+0.00657=0.99343[/tex]Our model is now complete:
[tex]P(x)=105\cdot0.99343^x[/tex]For the year 2024, x = 13 years have passed. Then, we calculate the population using our model (rounding to the nearest hundredth):
[tex]P(x=13)=105\cdot0.99343^{13}=96.38[/tex]The size of the population in 2024 will be about 96.38 million
A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
The ordered pair that is the best estimate for the solution to the system is (1/2,0).
Ordered pair:
An ordered pair is the composition of the x coordinate and the y coordinate , having two values written in a fixed order within parentheses.
Given,
Here we have the graph.
And we need to find the the best estimate for the solution to the system.
While we looking into the graph we have identified, that both line will intersect at some point.
Basically the solution of the graph is also the same point.
So, when we look into the graph we have identified that the value of y at the intersecting point is 0. Because the line will pass the x - axis line.
So, here we have to identify the x value of the solution,
this one the value of x is greater than or equal to 0.5. Because the line will be pass in between 0 and 1.
Considering all these details, the solution pair is (1/2 ,0).
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students are asked to evaluate the food provided in the university cafeteria on 7-point scales with bipolar/antonym adjectives such as poor–good and inexpensive–expensive. what type of scales do these measures represent?
The given scales which measure the attitude of a person is an ordinal scale such as a Likert scale
What is an ordinal scale?An ordinal scale provides a report of the rating, order or rank of a data without stating the extent of variation between the categories.
There are many types of rating scales used to directly measure the attitude of a person towards a subject matter.
The Likert scale which is the most widely used rating scale, when applied, consists of a five or seven point scale, that empowers the subject of the survey to express how much they agree (or disagree) with a specified statement.
Generally, five options, graded from, mild to extreme are provided so that the survey subject can indicate (express), their strength of how much they agree with or feel about the statement or question
The assumptions of the Likert scale includes;
The ability to measure attitudes.The intensity or strength of an attitude is linear, such that the attitude varies linearly from strongly agree to strongly disagreeBased on the perception of the subject, Likert scale can be used to also measure the variations of the following subject matters;
Likelihood of an event or occurrenceThe importance of a product or serviceThe quality perception of an objectThe frequency of an eventLearn more about Likert–type scales here:
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Find the measure of AB.
Thank you
Answer:
15
Step-by-step explanation:
5x=4x+3
x=3
AB=5x
AB=5(3)
AB=15
Triangle MNO is shown
witch triangle can be shown to be congruent to triangle MNO with only the given information?
Answer: The 2nd one from the top
Solve the inequality x − 3≤14.
Make v the subject
KE=1/2 mv^2
The solution of the equation for v is [tex]v = \sqrt{\frac{2KE}{m}}[/tex]
What is subject of formula?This involves isolating a variable in an equation different from the initial isolated variable
How to determine the equation for v?The equation is given as
KE = 1/2mv²
Divide both sides of the equation by m
So, we have the following equation
KE/m = 1/2mv²/m
Multiply both sides of the equation by 2
So, we have the following equation
2KE/m = 2 * 1/2mv²/m
Evaluate the quotients and the products
2KE/m = v²
Take the square roots
[tex]v = \sqrt{\frac{2KE}{m}}[/tex]
By the above computation, we changed the subject of the formula in KE = 1/2mv² from KE to v.
This implies that solving for v is a concept of subject of formula
Hence, the solution is [tex]v = \sqrt{\frac{2KE}{m}}[/tex]
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9. Construct Arguments Al made a tree house last summer. He started by
making a model. The model included a window with a height of inch
and a width of inch. The actual window had a height of yard and a
width of yard. Was Al's model an accurate representation? Explain.
Answer:
yes
Step-by-step explanation:
if the model was x inches × y inches it is going to be the exact same number as the actual window just in years for instance if the windows is 9 Sq yards it would be 3 yard × 3yard and the model would have been 3 inches ×3
Harry downloads album a which has 11 tracks. NEED HELP WITH B . Thankssss
A) The total cost of downloading B will be £13.3.
B) The total cost of downloading B for 5 tracks is less than 5 p.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Harry downloads album A which has 11 tracks.
The total cost of downloading A is £10.45
Now,
Since, Harry also downloads album B which has 14 tracks.
So, The total cost of downloading B = £10.45 x 14 / 11
The total cost of downloading B = £146.3 / 11
The total cost of downloading B = £13.3
And, The total cost of downloading B for 5 tracks = £10.45 x 5 / 11
The total cost of downloading B for 5 tracks = £52.25 / 11
The total cost of downloading B for 5 tracks = £4.75
Therefore, The total cost of downloading B for 5 tracks is less than 5 p.
Thus,
A) The total cost of downloading B will be £13.3.
B) The total cost of downloading B for 5 tracks is less than 5 p.
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Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2?
03x²-x-10
O 3x² - 10
O3x²+x-10
O 3x² - 11x10
Properly rounding 190.4592785 to the nearest tenth gives
The proper rounding of 190.4592785 to the nearest tenth gives 190.4.
What is round to the tenth?Look at the next place value to the right to round a number to the closest tenth (the hundredths). Simply eliminate all the numbers to the right if the number is 4 or fewer.
Add one to the digit in the tenth place if the number is five or above, and then eliminate all the digits to the right.
To round digits to the tenth means after the decimal there is only one number. It is tenth place.
190.4592785 = 190.4
Therefore, the nearest round to the tenth is 190.4.
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Isaac is getting balloons for his aunt's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Isaac wants to get 77 balloons, how many yards of string will he need?
Answer: 231
Step-by-step explanation: 1 yd = 3 ft so 9 ft=3 yd 77*3=231
whats is 23x10 to the third power need help now
The expression 23 x 10 to the third power has a value of 23000
How to evaluate the expression?The mathematical statement is given as
"What's is 23x10 to the third power"
This can be represented as
23 x 10 to the third power
The third power represents the power of 3
i.e A number to the exponent of 3
So, we have
23 x 10 to the third power = 23 x 10^3
Express 10^3 as 1000
23 x 10 to the third power = 23 x 1000
Evaluate the product
23 x 10 to the third power = 23000
Hence, the solution is 23000
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easy (can anyone help with write an equation for this)
The equation of slope-intercept form is y = mx - m.
What is slope-intercept form?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is commonly referred to as the y = mx + b form.from the graph points are ( 1 , 1 )
So, x = 1 & y = 1
Equation is y = mx + c
put the value (x, y)
1 = m * 1 + c
1 = m + c
c = - m
y = mx - m
the equation is y = mx - m
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Dean spent one fifth of the amount of money in his wallet and then one fifth of what remained. He spent a total of £72. Find the amount of money in his wallet to start with.
Proportionately, the amount of money in Dean's wallet from the beginning was £90.
What is a proportion?A proportion is the portion of a variable contained in another variable.
Proportions are like ratios; they show the fractional part taken away from a whole number or value.
Proportions are stated as fractions, decimals, or percentages.
The first amount spent from his wallet = 2/5
The next amount spent from his wallet = 2/5
The sum of the fractional spending = 4/5 (2/5 + 2/5)
The total amount spent = £72
Let 4/5 = £72
The total money in his wallet = £90 (£72 ÷ 4/5)
Thus, since Dean had spent 4/5, which equals £72, proportionately, he had £90 to start with.
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Answer the question below
Answer:1375 km^2
Step-by-step explanation: I just did 1900x0.9475 6 times to show the decrease
The angle of elevation of the sun during a certain time of day is 42.4°. At this specific time day a 32.5 foot tree casts a shadow on the ground. How long is the tree's shadow?
The length of the tree's shadow will be 35.59 ft.
What is tangent function? Also explain how it is used in heights and distances?
Tangent function is one of the six trigonometric functions in mathematics. In heights and distances, tangent of the angle of elevation or depression can be used to calculate the distance or height of an object as -
tanФ = [P]/[B]
The domain and range of the tangent function is -
Domain - R - {(2k+1)π/2} [where k is an integer]
Range - R [where R is the set of real numbers]
Given is angle of elevation of the sun during a certain time of day as 42.4°. At this specific time day a 32.5 foot tree casts a shadow on the ground.
Assume that angle of elevation is equal to Ф
Now, using the tangent function, we can write -
tanФ = [tree height] / [tree shadow]
tan(42.4) = 32.5 / [tree shadow]
tree shadow = (32.5/tan(42.4))
tree shadow = 32.5/0.913 = 35.59 ft
Therefore, the length of the tree's shadow will be 35.59 ft.
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TRUE OR FALSE. Does the equation match the graph?
Answer: false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
To start, the intersection is wrong, also the slope is -6 not 6/5
The equation is y=-6x+1
Solve the equation p + 5 = −12 for p.
−7
7
−17
17
Answer:
-17
Step-by-step explanation:
p+5=-12
five over and switch signs
p=-17
Rounding to the nearest whole
number, which of the following give an
underestimate?
2.7 x 13.5
4.51 x 8.7
9.19 x 8.48
7.49 x 11.4
3.6 × 6.5
Answer:
I attached answer list respectively
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THESE PROBLEMS RIGHT NOOOO SCAMS PLEASE AND SHOW ME THE STEPS THIS IS DUE TOMMOROW
Answer:
1. You forgot to say what we have to do, we can't simplify or solve... so what do we do??
2. could you please rewrite on computer sorry I can't understand some
Step-by-step explanation:
Just checking if I'm right but
1. 6x² y + 14y²
2. 16x²+44
3. 26⁶ + 106⁴ -70
4. 81y² - 36
5. x² - 12 * + 27?
Mobius math
PLS, I need it!!!
Using angle relationships we have:
1. 18x = 180; x = 10
14x = 140°
4x = 40°
2. 7x + 40 = 180; x = 20
4x + 30 = 110°
3x + 10 = 70°
3. 4x + 80 = 180; x = 25
2x + 80 = 130°
2x = 50°
4. 7x + 5 = 180; x = 25
6x = 150°
x + 5 = 30°
How to Apply Angle Relationship?In order to determine the value of x and find the missing angle measures, we must use the appropriate angle relationship to create an equation to solve for x.
1. 4x + 14x = 180 [the angle relationship is that they are supplementary angles and therefore have a sum of 180 degrees.]
18x = 180
18x/18 = 180/18
x = 10
Plug in the value of x
14x = 14(10) = 140°
4x = 4(10) = 40°
2. 3x + 10 + 4x + 30 = 180 [supplementary angles]
7x + 40 = 180
7x = 180 - 40
7x = 140
7x/7 = 140/7
x = 20
Plug in the value of x
4x + 30 = 4(20) + 30 = 110°
3x + 10 = 3(20) + 10 = 70°
3. 2x + 2x + 80 = 180 [the angle relationship is supplementary]
4x + 80 = 180
4x = 180 - 80
4x = 100
4x/4 = 100/4
x = 25
2x + 80 = 2(25) + 80 = 130°
2x = 2(25) = 50°
4. 6x + x + 5 = 180 [the angle relationship is supplementary]
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25
6x = 6(25) = 150°
x + 5 = 25 + 5 = 30°
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12. If f(x) = -9x + 8, then find f(-2). (Lesson 2-1)
A. -84
B. -8
C. 26
D. 200
Answer:
C. 26
Step-by-step explanation:
[tex]{ \tt{f(x) = - 9x + 8}}[/tex]
- f(-2) implies that x = -2, therefore; we substitute -2 in place of x in the function;
[tex]{ \tt{f( - 2) = - 9( - 2) + 8}} \\ \\ { \tt{f( - 2) = 18 + 8}} \\ \\ { \tt{f( - 2) = 26}}[/tex]
help me answer this pls
-1/2 is the slope of the line that passes through the points (12,-1) and (-2,6).
Slope is simply expressed as change in y over the change in x.
The slope formula is expressed as;
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 12, -1 )
x₁ = 12y₁ = -1Point 2( -2, 6 )
x₂ = -2y₂ = 6To determine the slope of the line, plug the given coordinates into the slope formula above.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 6 - (-1) )/( -2 - 12 )
Slope m = ( 6 + 1) )/( -2 - 12 )
Slope m = ( 7 ) )/( -14)
Slope m = -7/14
Slope m = -1/2
Therefore, the slope of the line is -1/2.
Option F is the correct answer.
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fwweee points hmu cause why not
Answer:
thank you
Step-by-step explanation:
no
body
needs
your
free point
be serious
Let's Try it out (2 Steps)The population of a once very popular city of 250,000people has been decreasing by 3.5% each year,Write an exponential decay function that represents thepopulation after t years,y = a[1 – r)'250,000(1 - 3.5)Simplify!250,000(.035)Use your model to approximate what the population willbe 7 years from now.*Round answer to the nearest WHOLE number
The population at the onset as 250,000. There has been a 3.5% decrease every year.
The exponential decay function therefore is;
[tex]\begin{gathered} y=a(1-r)^t \\ a=250000,r=0.035,t=\text{time in years} \end{gathered}[/tex]Hence, to approximate what the population would be 7 years from now;
[tex]\begin{gathered} y=a(1-r)^t \\ y=250000(1-0.035)^7 \\ y=250000(0.965)^7 \\ y=250000\times0.779275\ldots \\ y=194818.9516 \\ y\approx194819\text{ (to the nearest whole number)} \end{gathered}[/tex]The population after 7 years shall be 194,819 people (rounded to the nearest whole number).
