Answer:
y=3x-4
Step-by-step explanation:
-9x+3y=-12
3y=12-9x
y=3x-4
what are the solutions of 2x^2 + 3x = -5
Answer:
No solution
Step-by-step explanation:
The square root of a negative number is not a real number
Determine whether each statement implies correlation or causation between two variables. Drag the items on the left to the correct location on the right.
Watching more TV increases the bill for electricity.
Drinking water helps flush out toxins.
Students with high scores in physics also got high scores in chemistry.
A survey shows that people who own a TV also own an automobile.
Vaccination reduces the chance of getting infected by the disease.
Determining whether each statement implies correlation or causation between two variables is as follows:
Correlation:Students with high scores in physics also got high scores in chemistry.A survey shows that people who own a TV also own an automobile.Causation:Watching more TV increases the bill for electricity.Drinking water helps flush out toxins.Vaccination reduces the chance of getting infected by the disease.How is correlation different from causation?Correlation indicates that one independent variable causes another dependent variable to change.
Causation indicates that one dependent variable or event is the direct result of the occurrence of the other event or independent variable.
Causation shows cause and effect - unlike correlation which points out two events simultaneously occur or two variables change at the same time.
Thus, correlation is a test of association in relationship, while causation focuses on cause and effect.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The value of P = $7,000,r = 3.2%, n = 4, and money after 7 years will be $8749.6954.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
(A)
As per the given,
Principle amount P = $7,000
Rate of interest r = 3.2%
Number of times interest applied per time period n = 4 (Quarterly)
(B)
Time period T = 7 year
Total amount S(7) = 7,000(1 + 0.032/4)^(4 x 7)
S(7) = $8749.6954
Hence "The value of P = $7,000,r = 3.2%, n = 4, and money after 7 years will be $8749.6954".
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Marco uses 2 gallons of water while brushing his teeth. He uses 10 gallons of water to wash clothes. How many more cups of water does Marco use while washing his clothes than brushing his teeth? there’s are 16 cups in 1 gallon
Answer: 192 cups
Step-by-step explanation: there's 16 cups in 1 gallon so you would do 2×16=32 to get 32 cups. Then you would do 10×16=160 to get 160 cups. Now add 32+160=192 cups.
Can you help me factor and solve x^2-14x-142=22 ?
Step-by-step explanation:
[tex] {x}^{2} - 14x = 164[/tex]
[tex] {x}^{2} - 14x + 49 = 213[/tex]
[tex](x - 7) {}^{2} = 213[/tex]
[tex](x - 7) = \sqrt{213} [/tex]
[tex](x - 7) = - \sqrt{213} [/tex]
[tex]x = 7 + \sqrt{213} [/tex]
[tex]x = 7 - \sqrt{213} [/tex]
15) How many terminal zeros does the integer equal to
80 power to the 16 times 75 power 8 have?
Look at photo for problem
Just need chart filled out
4. y=-2(x+2)²-3
Following values can be filled in the table:
(0,-3), (-1,0), (1,-8), (-2,1), (2,-15)
It can be solved using the concept of graph plotting and function.
What is graph?
When a set of points are connected together to form a strcture then the structure is known as graph. The set of ponts is known as ordered pair.
Consider the eqution.
[tex]y=-2(x+2)^2-3[/tex]
Substitute the simplest value x = 0 and find the value of y.
[tex]y=-2(0+2)^2-3\\=-11\\[/tex]
Now, substitute x = -1 and find the value of y.
[tex]y=-2(-1+2)^2-3\\=-5\\[/tex]
Now, substitute x = 1 and find the value of y.
[tex]y=-2(1+2)^2-3\\=-21\\[/tex]
Now, substitute x = -2 and find the value of y.
[tex]y=-2(-2+2)^2-3\\=-3\\[/tex]
Now, substitute x = 2 and find the value of y.
[tex]y=-2(2+2)^2-3\\=-35\\[/tex]
Hence, following values can be filled in the table:
(0,-11), (-1,-5), (1,-21), (-2,-3), (2,-35)
It can be solved using the concept of graph plotting.
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Find sin2x,cos2x, and tan2x if sin x=-3/√13 and x terminates in quadrant IV.
sin2x=
cos2x=
tan2x=
Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin x= -3/√13
So, B = √13 - 9 = √4 =2
cos x= 2/ √13
So, sin 2x= 2 sin x cos x =2 (-3/√13 )(2/√13 ) = -12/√13
and, cos 2x= 1- 2 sin²x
= 1- 2( -3/ √13 )²
= -5/ √13
and, tan 2x = sin 2x/ cos 2x = 5/12
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McKenna was asked to write the following expression in standard form.
When writing the expression in standard form, McKenna made a mistake.
a. McKenna made her first mistake in .
b. The correct expression in standard form is .
3 − 5(3a + 6)
3 − 5(3a + 6)
3 + (−5)(3a + 6)
−2(3a + 6)
−6a + (−12)
−6a − 12
Step 1
Step 2
Step 3
Step 4
a) The step in which McKenna made her first mistake is given as follows: Step 4.
b) The correct simplified expression in standard form is given as follows: -15a - 15.
How to simplify the expression?The expression in this problem is defined as follows:
3 − 5(3a + 6)
On the third step, the expression is given as follows:
3 + (−5)(3a + 6)
And on the fourth step, the expression is given as follows:
−2(3a + 6).
This is where the mistake happened, as the multiplication takes precedence over the subtraction.
Then to obtain the correct expression the first step is applying the distributive property, as follows:
3 − 5(3a + 6) = 3 - 15a - 18.
Then the like terms 3 and -18 are combined to obtain the correct simplified expression, as follows:
3 - 15a - 18 = -15a - 15.
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Factor the expression completely
54a⁶b²+ 9ab²
To factor the expression 54a⁶b²+ 9ab², you can use the fact that a common factor of 54a⁶b² and 9ab² is ab².
Thus, you can rewrite the expression as:
ab²(54a⁶ + 9)
You can then factor the expression inside the parentheses using the fact that 3 is a common factor of both 54 and 9:
ab²(3 * 18a⁶ + 3 * 3)
This can be simplified as:
ab²(6a⁶ + 9)
This expression is completely factored and cannot be further simplified. Therefore, the completely factored form of the expression is:
ab²(6a⁶ + 9)
car is traveling at a steady speed It travels 1 1/2 miles in 2 1/4 minutes How far will it travel in 23 minutes? In ?
Answer:
15 1/3 miles in 23 minutes
(2/3)x in x minutes
Step-by-step explanation:
1 1/2=1.5
2 1/4=2.25
Convert to unit ratio
[tex]1.5/2.25=(2/3)/1[/tex]
2/3*23=46/3
Simplify
15 1/3 miles in 23 minutes
(2/3)x in x minutes
"Find the slope of the line that passes through all of the points
Find the stope of the line that passes through all of the points on the table."
By using the formula for slope, it can be calculated that
The slope of the given line is 10
What is slope of a line?
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan \theta[/tex]
If the line passes through [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], slope is calculated by the formula
Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here, the line passes through (2, 3) and (3, 13)
Slope = [tex]\frac{13 - 3}{3-2}[/tex]
Slope = 10
So the slope of the given line is 10
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A light is on the top of a 12 ft tall pole and a 5’6’’ tall person is walking away from the pole at a rate of 2 ft/sec At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole? At what rate is the tip of the shadow moving away from the person when the person is 25 ft from the pole? please give all solutions
Part a: the rate at which the shadow's tip moves away from the pole while the subject is 25 feet distant is 48/13 ft/sec.
Part b: the speed of the shadow from the speed of the man is 22/13 ft/sec.
Explain the term rate of change?Rate of Change: How quickly a parameter changes over a predetermined amount of time. It is frequently used while discussing momentum and is typically expressed as a proportion of one variable's change to another's corresponding change.A 5 feet 6 inch tall individual is going away from a 12 foot tall pole with a light on top at a 2 foot per second pace.
A) the speed at which the shadow's tip moves away from the pole while the subject is 25 feet distant;
Similar triangles allow us to say:
12/L = 55/(L - x)
Simpllifying,
12(l - x) = 5.5l
12l - 12x = 5.5l
6.5l = 12x
x = (6.5/12)l
Differentiate with respect to time;
dx/dt = (6.5/12)dl/dt or
dl/dt = (12/6.5)(dx/dt)
As, dx/dt = 2
dl/dt = (12/6.5)(2)
dl/dt = 24/6.5
dl/dt = 48/13 ft/sec
B: When a person is 25 feet from a pole, the point of the shadow travelling away from them at:
Subtract the speed of the shadow from the speed of the man.
Therefore,
48/13 - 2 = 22/13 ft/sec.
Thus, the speed of shadow from the speed of the man is 22/13 ft/sec.
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Last month, Lucy and Britney each read three books. The tables show the number of pages in each book and the time it took Lucy and Britney to read each book. Which of the tables, if any, represent a proportional relationship? Responses
The table that represents a proportional relationship is Table A.
What is a proportional relationship?A proportional relationship exists between two variables when their ratios are equal or equivalent.
With a proportional relationship, there is a constant rate of change between the comparable variables.
Proportions refer to ratios of equality between two or more variables.
Where there is a proportional relationship, we can determine the constant rate of change as the same quotient.
For instance, when the number of pages per book is divided by the reading time, a constant rate of change is established if the reading speed is the same for all three books.
Table A:Pages Lucas Read 208 156 234
Time (hours) 8 6 9
Reading speed 26 26 26 (234/9)
Table B:Pages Britney Read 168 120 348
Time (hours) 6 4 12
Reading speed 28 30 29 (348/12)
Thus, the constant rate of change or proportional relationship can be found in Table A and not in Table B.
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Question Completion:Table A:Pages Lucas Read 208 156 234
Time (hours) 8 6 9
Table B:Pages Britney Read 168 120 348
Time (hours) 6 4 12
Hi can you guys please help me create an ppt presentation on excel these are what it should include.
A bar graph
A line graph
A pie chart
Payslip
Table with all the employees names and position.
These should be connected to one topic. All illustration should be connected.
There should also be the meaning of Excel
And you can also add in information if you'd like or fun facts about excel
100/_
You can make a chart in PowerPoint or Excel. If you have lots of data to chart, create your chart in Excel, and then copy it into your presentation. This is also the best way if your data changes regularly and you want your chart to always reflect the latest numbers. In that case, when you copy and paste the chart, keep it linked to the original Excel file.
To create a simple chart from scratch in PowerPoint, click Insert > Chart and pick the chart you want.
1. Click Insert > Chart.
2.Click the chart type and then double-click the chart you want.
3.In the worksheet that appears, replace the placeholder data with your own information.
4.When you insert a chart, small buttons appear next to its upper-right corner. Use the Chart Elements Chart Elements button button to show, hide, or format things like axis titles or data labels. Or use the Chart Styles Customize the Look of Your Chart button button to quickly change the color or style of the chart.
What is excel ?
Excel is a spreadsheet program from Microsoft and a component of its Office product group for business applications. Microsoft Excel enables users to format, organize and calculate data in a spreadsheet.
The main uses of Excel include: Data entry. Data management. Accounting.
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Please help me I just look at the photo I am so confused
Answer:
Step-by-step explanation:
1:Pl 2:Th 3:Th 4:P 5:P 6:Pl 7:Pl 8:Th 9:Th 10:Th 11:Pl 12:P
There you go, the numbers go down. So Iowa is 1 and so on, I don't know if they are all right but I did my best.
The following data represent the monthly cell phone bill for a person's phone for six randomly selected months.
$35.34, $42.09, $39.43, $38.87, $43.39, $49.26
Compute the mean, median, and mode phone bill. (Round to the nearest cent as needed)
The mean of the data is x(bar) = 41.396
The Median of the data is $40.76
The mode of all the values are appearing once and therefore there is no mode for the phone bill.
Now, According to the question:
Given the data:
$35.34, $42.09, $39.43, $38.87, $43.39, $49.26
Mean is the average of the data computed as x(bar) = Σ[tex]x_i[/tex] /n where [tex]x_i[/tex]
are the data points and n is the number of data points
x(bar) = 35.34 + 42.09 + 39.43 +38.87 +43.39 + 49.26 / 6
x(bar) = 248.38 /6
x(bar) = 41.396
The median is the data point that lies in the middle of the data set when the data is arranged in ascending or descending order.
Thus,
Ascending order:
$35.34, $38.87, $39.43, $42.09, $43.39, $49.26
The median lies between $39.43 and $42.09 and to get it, we find the average of the two numbers
Median = (39.43 + 42.09)/ 2
Median = $40.76
→ Mode is the value in a data set that is repeated most frequently. In the given data, all the values are appearing once and therefore there is no mode for the phone bill.
Hence, The mean of the data is x(bar) = 41.396
The Median of the data is $40.76
The mode of all the values are appearing once and therefore there is no mode for the phone bill.
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Pam bought different drinks for a party she was throwing. After the party, she had the following drink amounts left over.
\dfrac1{2}
2
1
start fraction, 1, divided by, 2, end fraction liter of soda
\dfrac15
5
1
start fraction, 1, divided by, 5, end fraction liter of water
\dfrac8{10}
10
8
start fraction, 8, divided by, 10, end fraction liter of apple juice
Which statement correctly compares the amounts of 2 left over drinks?
Choose 1 answer:
(Choice A)
A
Pam had less water left over than apple juice.
(Choice B)
B
Pam had more soda left over than apple juice.
(Choice C)
C
Pam had less soda left over than water.
Answer:
A) Pam had less water left over than apple juice.
Step-by-step explanation:
Given amounts of drinks left over:
[tex]\dfrac{1}{2}\; \sf liter \;of \;soda[/tex][tex]\dfrac{1}{5}\; \sf liter \;of \;water[/tex][tex]\dfrac{8}{10}\; \sf liter \;of \;apple\;juice[/tex]To compare the amounts of drinks left over, convert the fractions into equivalent fractions that have the same denominator.
The denominators of the three fractions are 2, 5 and 10.
The lowest common multiple of the denominators is 10.
Therefore, rewrite the first two fractions so that their denominators are also 10.
[tex]\textsf{Soda}: \quad \dfrac{1}{2}=\dfrac{1 \cdot 5}{2 \cdot 5}=\dfrac{5}{10}[/tex]
[tex]\textsf{Water}: \quad \dfrac{1}{5}=\dfrac{1 \cdot 2}{5 \cdot 2}=\dfrac{2}{10}[/tex]
Therefore, as:
[tex]\dfrac{2}{10} < \dfrac{5}{10} < \dfrac{8}{10}[/tex]then:
water < soda < apple juiceTherefore, Pam had less water left over than apple juice.
Answer:
a) Pam had less water than apple juice.
★ Water < Soda < Apple juice
Step-by-step explanation:
Converting the fraction into decimals,
→ Soda left = 1/2 = 0.5 litres
→ Water left = 1/5 = 0.2 litres
→ Apple juice left = 8/10 = 0.8 litres
Let's order them in ascending order,
→ 0.2 < 0.5 < 0.8
→ 1/5 < 1/2 < 8/10
→ Water left < Soda left < Apple juice left
Now the applicable options is,
→ Pam had less water than apple juice.
Hence, option (a) is correct answer.
Identify all of the terms in the expression: 4x³ + x² + 3x + 6.
OA 6
OB 4, 3, 6
OC x³, x², x
OD 4x³, x², 3x, 6
Please help me
Answer:
OD 4x³, x², 3x, 6
Step-by-step explanation:
Using the preimage below, find the image coordinates after a dilation by a
scale factor of k = 1/3
a. G'(9, 9), H'(9, 27), J'(36, 9)
b. G'(9, 3), H'(9, 9), J'(36,3)
c. G'(1, 1), H'(1, 3), J'(4, 1)
d. G'(3, 3), H'(3,9), J'(12, 3)
Answer: C
Step-by-step explanation:
Solve the systems of equations
5x - 4y = -10
-4x + 5y = 8
x =
y =
The solution of the system of equation are;
⇒ x = - 2
⇒ y = 0
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equation are,
⇒ 5x - 4y = - 10
⇒ - 4x + 5y = 8
Now,
Find the solution as;
The system of equation are,
⇒ 5x - 4y = - 10 ..(i)
⇒ - 4x + 5y = 8 ..(ii)
Multiply by 4 in equation (i) + Multiply by 5 in equation (ii);
⇒ 20x - 16y + (- 20x + 25y) = - 40 + 40
⇒ 9y = 0
⇒ y = 0
And, - 4x + 5y = 8
⇒ - 4x + 0 = 8
⇒ x = - 2
Thus, The solution of the system of equation are;
⇒ x = - 2
⇒ y = 0
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Figure HEFG below is a parallelogram. If UH=19 and FH= 5x-7, find X
A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
The value of x is 5.2.
What is a parallelogram?
A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
UH and FH are the two sides of the diagonal.
UH and FH are equal.
UH = FH
19 = 5x - 7
19 + 7 = 5x
5x = 26
x = 5.2
Thus,
The value of x is 5.2.
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If you draw a random card from a standard deck of 52 cards, what are the odds of drawing the jack, queen, king, or ace of clubs? Write your answer in the form a:b as a fully reduced ratio. Note: In a standard deck of cards, each of the four suites has three face cards.
Answer:
12:52
Step-by-step explanation:
almost every card game has 52 cards, you have a 23% chance to draw a face card of any kind.
There are a king, queen, and jack for each of the four different suits: hearts, spades, clubs, and diamonds. The four suits have 13 cards each, for a total of 52 cards. Therefore, your chance of drawing a face card out of a deck of cards upon choosing the card at random is 12 out of 52, or about 23%.
Evaluate
16 ÷ (2 + 1/2 ) ²
A) 2 14/25
B) 4 1/4
C) 6 2/5
D) 8 1/4
Answer:
A) 2 14/25
Step-by-step explanation:
This is a question of order of operations, which PEMDAS helps describe.
P- parentheses
E - exponents
M, D - multiplication, division
A, S - addition, subtraction
In your problem, you'd start with P, what's in the parentheses.
16 ÷ (2 1/2)²
Then do the exponent, E. It might help to convert 2 1/2 to 5/2.
16 ÷ 25/4
Then divide, D. When dividing fractions, you can flip the numerator and denominator and multiply.
16 x 4/25
= 64/25
Then simplify. 25 goes into 64 two times, and there is 14 left over.
= 2 14/25
Answer:
A
Step-by-step explanation:
Evaluate the sum in the brackets first to give 2.5 and square that to give 6.25
Divide 16 by 6.25 to get A
"Use the formula A=P(1+r/n)ⁿt to solve the compound interest problem
Find how long it takes a $ 1700 investment to earn $ 500 interest if it is invested at 2 % interest compounded quarterly.
$ 500 interest will be earned in approximately years. (Round to the nearest tenth.)"
The compound interest is 61.342 years
What is compound interest ?
The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.
Formulas for Compound Interest
Formula for Monthly Compound Interest.
Compounded Quarterly Formula: Interest compounded monthly is calculated 12 times a year. Four times a year are used to calculate interest that is compounded quarterly.
Formulas for compound interest are available on a daily, annual, and other basis.
A = 1700
P = 500
r = 2%
n = 4
r = R/100
r = 2/100
r = 0.02 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(1,700.00/500.00) / ( 4 × [ln(1 + 0.02/4)] )
t = ln(1,700.00/500.00) / ( 4 × [ln(1 + 0.005)] )
t = 61.342 years
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8 An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he has used.
(a) Work out the gradient of the straight line.
(b) What does the gradient of this line represent?
The gradient of the line is 4/30 and it means that the amount for each unit of electricity used is 4/30
(a) How to determine the gradient of the straight line.From the question, we have the graph that can be used in our computation:
From the graph, we have the following ordered pairs
(0, 0) and (30, 4)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (0, 0) and (30, 4)
The gradient of the line is then calculated using the following slope equation
gradient = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 0) and (30, 4)
Substitute the known values in the above equation
So, we have the following equation
gradient = (4 - 0)/(30 - 0)
Evaluate
gradient = 4/30
Hence, the gradient of the line is 4/30
(b) What does the gradient of this line represent?Generally, slope or gradient means rate
This means that the gradient of this line represent the rate
i.e. the amount for each unit is 4/30
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Please help this is for a quiz!
A baby weighed only 14.4 ounces at birth. How much lighter was she than an average baby, who weighs about 7lbs 8 ounces?
The baby is 105.6 ounces or 6.96 pounds lighter than an average baby.
What is weight ?Weight is the measurement of Gravitational force on an object. It can be zero as in the space.
We are given in the question that A baby weighed only 14.4 ounces at birth the weight of an average baby is 7lb 8 ounces.
1 lb = 16 ounce
Therefore an average baby weight = 7 x 16 + 8 = 120 ounces
The baby weight is just 14.4 ounces
Hence, the baby is 120 - 14.4 = 105.6 ounces lighter than an average baby.
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Two-fifths of the students in the music class of twenty students were boys. How many boys are in the music class?
Answer:
8
Step-by-step explanation:
the answer is 8
Answer:
8
Step-by-step explanation:
total students=20
boys=2/5×20
=8
HELP ME ASAP!!!!
I NEED THIS ANSWERED RIGHT NOW!!!!!!
Answer: The bisector of [tex]\angle BAC[/tex]
Step-by-step explanation:
This is a standard construction.
there are 12 levels in Zoe new video game suppose she plays the same number of levels each day what are all the possibilities for the number of days Zoe could play the game show your work. Its about multiples and factors
Let no of level in one day is x. So, Zoe can play x= 12 level in a day.
What is probability?The likelihood might be between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. In a sample space, each occurrence has a probability of one overall. the possibility that two or more events will follow one another. Since there are two or more of them, the events are either dependent or independent events. A dependent event—also referred to as a conditional event—is one in which the occurrence of the first event affects the occurrences that follow. The total number of outcomes will differ.
Write formula for the probability.Probability = Possible outcomes/total outcomes
Factors of 12 can be written as:
1 * 12 = 12
2 * 6 = 12
3 * 4 = 12
For this question look for factors of 12-These would be
1 and 12 (1 x 12 = 12)
2 and 6 (2 x 6 = 12)
3 and 4 (3 x 4 = 12)
Hence Zoe could either play
1 level each day for 12 days
2 levels each day for 6 days
3 levels each day for 4 days
4 levels each day for 3 days
Or...
12 levels in one day
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