Basically just add them all together like normal addition except there is a z attached to each number:
43z + 15z + 7z + 5z + 46z + 14z
58z+ 7z + 5z + 46z + 14z
65z + 5z + 46z + 14z
70z + 46z + 14z
116z + 14z
130z
Hope this helped!
Answer:
130z
Step-by-step explanation:
43z + 15z + 7z + 5z + 46z + 14z
Since the all have z with a coefficient, they are all like terms
Factor out a z
(43 + 15 + 7 + 5 + 46 + 14 )z
Then add all the coefficients together
(130)z
The total is 130z
PLEASE HELP
I WILL MARK BRAINIEST
Answer:
1: Rhombus
2: Square
3: Rectangle
4: Trapezoid (isosceles trapezoid to be exact)
Answer:
1. convex
2. square
3. rectangle
4. trapezoid
Step-by-step explanation:
PLEASE HELP RIGHT AWAY
Answer:
No teen sent texts fewer than 1630 or more than 1854 texts in a month
Step-by-step explanation:
margin of error gives the difference that may come in the sample results from the actual population results.
Given:
Average teen sends 1742±112 texts per month
here ±112 is margin of error, calculating maximum difference:
1742+112=1854
1743-112=1630
No teen sent texts fewer than 1630 or more than 1854 texts in a month !
What experimental of rolling a 2 or 3
Answer:
Option 1: 0.32
Step-by-step explanation:
Let
P(A) be the experimental probability of getting two
And
P(B) be the experimental probability of getting three
The dice is rolled 360 times.
So the sample space is n(S) = 360
P(A) = n(A)/n(S)
= 54/360
= 0.15
And
P(B) = n(B)/n(S)
= 62/360
= 0.172
As both the events A and B are mutually exclusive,
P(A or B) = P(A) + P(B)
= 0.15 + 0.172
=0.322
Rounding of to one decimal gives us:
0.32
So the probability of rolling a two or three is 0.32 ..
If a minivan averages 25.8 miles per gallon, how many miles will it travel on 23 gallons of gas
Answer:
Step-by-step explanation:
25.8/1=593.4/23
593.4 is the answer
Final answer:
To find out how many miles a minivan will travel on 23 gallons of gas with an average of 25.8 miles per gallon, multiply the gallons by the mpg to get 593.4 miles.
Explanation:
To calculate the distance a minivan will travel on 23 gallons of gas when it averages 25.8 miles per gallon, we simply multiply the number of gallons by the miles per gallon (mpg).
The formula to use is:
Distance = Number of Gallons × Average Miles per Gallon
Using the given values:
Distance = 23 gallons × 25.8 mpg
We calculate:
Distance = 593.4 miles
Therefore, the minivan can travel 593.4 miles on 23 gallons of gas, assuming it maintains the average fuel economy of 25.8 miles per gallon.
Find the slope of (0, 3), (4, 0). Reduce all fractional answers to lowest terms.
The formula to find slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]y_{2} = 0\\y_{1} =3\\x_{2} = 4 \\x_{1} = 0[/tex]
so...
[tex]\frac{0-3}{4-0}[/tex]
[tex]\frac{-3}{4}[/tex] <<<the slope
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
-3/4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (0-3)/(4-0)
= -3/4
Write and solve of the following linear equation. Show or explain your work.
Three consecutive integers have a sum of 246. What are the three integers
Answer:
The three integers are 81,82 and 83
Step-by-step explanation:
Let
x,x+1 and x+2 ----> the three consecutive integers
we know that
[tex]x+(x+1)+(x+2)=246[/tex]
Solve for x
[tex]3x+3=246[/tex]
[tex]3x=246-3[/tex]
[tex]x=243/3[/tex]
[tex]x=81[/tex]
therefore
[tex]x=81[/tex]
[tex]x+1=81+1=82[/tex]
[tex]x+2=81+2=83[/tex]
what is a rational number whose square root is a whole number?
Answer:
4
Step-by-step explanation:
For example, 4.
4 is rational since it can be written as a fraction of integers. 4 = 4/1
The square root of 4 is 2, and 2 is a whole number.
angle S is 90 degrees and angle T is 45 degrees. side ST is 3 ft. how long is side SU
ANSWER
|SU|=3ft
EXPLANATION
Triangle TSU is an isosceles right triangle.
Because one of the angles in the right triangle is 45°.
This means that the third angle is also 45°.
This implies that that |ST|=|SU|
The reason is that isosceles triangle has the base angles equal and the arms on these angles are equal.
John is 1/8 meter shorter than Paul, and Paul is 0.25 meter taller than Andrew. If John’s height is 1 3/4 meters, what is Andrew’s height?
Andrew is 1 5/8 meters tall.
Andrew's height is 5.75 meters
Calculating variable dependent parameter -A variable dependent parameter equation is an equation where we solve a given problem from the statements and the data mentioned in it.
How to find Andrew's height in the given problem ?Let the height of Andrew be x meters
Given Paul is 0.25 meters taller than Andrew .
∴ Paul's height = 0.25 + x meters
Also given that John is 1/8 meters shorter than Paul .
John's height = 1/8(0.25 + x) meter
Also given that John's height is 3/4 meters.
⇒ 3/4 = 1/8(0.25 + x)
⇒ 6 = (0.25 + x)
∴ x = 5.75
Therefore the height of Andrew is 5.75 meters.
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What is the product of (-1/4)x(-3/7)
The answer is 3/28
-1/4 x -3/7
-1 x -3 = 3
4 x 7 = 28
3/28
Answer: 3/28
Step-by-step explanation:
Ummmm ignore the writing by total are. I don’t understand this,so can you guys do one or both for me please.Im most grateful.
You just have to split the figures in different parts...
- First Picture:
- the total length is 130, so the upper and bottom rectangles have 50ft. as showed, and the middle one is 130-(50x2) = 30
- The second step is get the 2 holes área to subtract from the “total rectangle without holes area” (30x40=1200)x2 and then (20,150-1400=18,750) so, the total area from the rectangle with the holes is 18,750!
Question 3(Multiple Choice Worth 4 points) (08.05) Jemma wants to solve the following system using the elimination method: y = x − 6 y = 6x − 19 What number should the equation y = x − 6 be multiplied by to eliminate x?
1
2
4
-6
Answer:
-6.
Step-by-step explanation:
y = x - 6
y = 6x - 19
To eliminate x the first equation should be multiplied by -6 giving:
-6y = -6x + 36
Adding this to the second equation will eliminate x.
which is the slope of the line y= -3x+2?
Answer:
The slope is -3
Step-by-step explanation:
This is because the slope of a line in an equation is m. In the equation given m=-3, so that makes the slope -3.
Answer:
I'm pretty sure the slope is -3.
SOMEONE HELP !!!!!!!!!!
Answer:
q^12
Step-by-step explanation:
To raise a power to a power you multiply the powers together. That would be 6*2=12.
The table shows the functions representing the height and base of a triangle for different values of x
ANSWER
B. A(x)=0.5 (f .g)(x)
EXPLANATION
The area of a triangle is calculated using the formula:
Area=0.5 Base × Height
The base is given by
g(x)=2x
and the height of the function is
[tex]f(x)= {x}^{2} + 3[/tex]
This implies that:
A(x)=0.5f(x) × g(x)
A(x)=0.5 (f .g)(x)
$3.36 for 1.4 pounds of grapes what is the unit rate per pound of grapes??????? I really need to know.... Yeet
Answer: 2.4 per pound you have to divide $3.36 and 1.4 pounds and you get your answer. Please mark me the brainliest answer? Hope this helped have a good day :)
OMG IS THAT A CURSED IMAGE?!?!?! :D
Based on the information given the unit rate per pound is 2.4.
Using this formula
Unit rate per pound=Costs/Pounds
Where:
Cost=$3.36
Pounds=1.4 pounds of grapes
Let plug in the formula
Unit rate per pound=$3.36/1.4
Unit rate per pound=2.4
Inconclusion the unit rate per pound is 2.4.
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solve for x. round to the nearest hundredth if necessary.
Answer:
[tex]x= 11.47[/tex]
Step-by-step explanation:
By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.
In other words:
[tex]cos (\alpha) = \frac{adjacent}{hypotenuse}[/tex]
In this triangle the length of the side adjacent to the 55 degree angle is x, and the length of the hypotenuse is 20
So:
[tex]cos(55\°) = \frac{x}{20}[/tex]
Now we solve the equation to find the value of x
[tex]x = 20cos(55\°)[/tex]
Finally
[tex]x= 11.47[/tex]
Answer:
11.47
Step-by-step explanation:
Given
Two angles of 90 and 55 degrees
and a side of length 20
Finding third angle= 180-(90+55)
= 35
Finding x:
Using Law of Sines to find length of side x
x/sinX=y/SinY
x/sin35=20/sin90
x=20sin35
x=11.47 !
Amplitude of y=-3sin5x
Answer:
Amplitude is 3
Step-by-step explanation:
in y=-3sin5x
the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis
ANSWER
The amplitude is 3
EXPLANATION
The amplitude of a periodic function is the distance from the midline of its graph to the peak.
The given function is:
[tex]y = - 3 \sin(5x) [/tex]
This function is of the form:
[tex]y = a \: \sin(bx) [/tex]
The of this function is
[tex] |a| [/tex]
By comparing the two functions, we have a=-3.
Therefore the amplitude of the given function is
[tex] | - 3| = 3[/tex]
Which logarithmic graph can be used to approximate the value of y in the equation 3^y = 4?
Answer:
c
Step-by-step explanation:
Write an equation that gives the proportional relationship of the graph.
A) y = 1/5x
B) y = 5x
C) y = 6x
D) y = 30x
Answer:
B) y = 5x
Step-by-step explanation:
We need to find the slope
m = (y2-y1) /(x2-x1)
We have 2 points (0,0) and (6,30)
m = (30-0)/(6-0)
= 30/6
=5
The slope is5
y = mx+b
The y intercept is 0
y = 5x+0
y = 5x
Answer:
B:)
Step-by-step explanation:
1.3,5/4,1 8/25 in order from least to greatest
Answer:
5/4, 1.3, 1 8/25
Step-by-step explanation:
5/4=1.25
1 8/25=1.32
---------------
The numbers 1.3, 5/4, 1, and 8/25 can be rearranged from least to greatest as 0.32, 1, 1.25, 1.3 once they're all converted to decimals. Converting fractions and whole numbers to decimals is a crucial skill in Mathematics and can simplify problems like this.
Explanation:To answer your question, the numbers 1.3,5/4,1 and 8/25 can be put in order from least to greatest by first converting them all to decimals or fractions. Given in their current form 5/4 equals 1.25 as a decimal and 8/25 equals 0.32 as a decimal. Hence we can put them into increasing order as 0.32, 1, 1.25, 1.3.
Understanding how to convert between fractions, decimals, and whole numbers is an essential skill in mathematics, and it can make problems like this easier to understand and solve. For instance, understanding that the fraction 5/4 is equivalent to the decimal 1.25 makes it easier to compare with other numbers.
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Please help :3
Select EACH correct answer
You didn’t give the question
For distributions C and D, the median represents the centre most accurately.
Given that the median is a robust statistic—that is, skewed data and outliers have little effect on it—it is the best estimate of centre for skewed or outlier-filled distributions.
Since the mean is not robust, it serves as a useful proxy for the centre in symmetric distributions.
Answer B has a uniform distribution, whereas answer A has a distribution that is nearly symmetric.
Given that the right tail is longer than the left, solution D appears to have a right-skewed distribution, while answer C has a left-skewed distribution.
Thus, for options C and D, the median would be the most appropriate way to measure the centre.
The question probable maybe:
For which distributions is the median the best measure of center? Select each correct answer:
(Given in the attachment)
What is an inequality to represent the perimeter of a triangle if two sides measure 3 meters and 8 meters
Answer:
16 m < P < 19 m
Step-by-step explanation:
we know that
The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x----> the length of the third side
Applying the triangle inequality theorem
1) 3+8 > c
11 > c
c < 11 m
2) c+3 > 8
c> 5 m
so
the measure of the third side must be
5 m < c < 8 m
therefore
The perimeter of the triangle is equal to
P=3+8+c
P=11+c
The inequality is equal to
(11+5) m < P < (11+8) m
16 m < P < 19 m
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
Answer:
[tex]y=200(1.05)^{x}[/tex]
Step-by-step explanation:
This is a compound interest problem. The principal is given as 200 and the interest rate as 5%. We can use the compound interest formula to determine the relationship between time and money;
[tex]A=P(1+r)^{n}[/tex]
where;
A is the amount of money
P is the principal invested
r is the rate of interest
n is the time duration
Substituting the information given we have;
[tex]y=200(1+\frac{5}{100})^{x}\\\\y=200(1.05)^{x}[/tex]
which is an exponential function
Find the attached for the graph of this exponential function.
What is the solution set of y=x? - 5x + 7 and y = 2x + 1?
Separate your x and y values with a comma.
) and (
Does anyone know this?
Answer:
The solutions are (6,13) and (1,3)
Step-by-step explanation:
We want to solve
[tex]y=x^2-5x+7[/tex]
and
[tex]y=2x+1[/tex]
We equate both equations to get:
[tex]x^2-5x+7=2x+1[/tex]
[tex]x^2-5x-2x+7-1=0[/tex]
[tex]x^2-7x+6=0[/tex]
We split the middle term to get:
[tex]x^2-6x-x+6=0[/tex]
[tex]x(x-6)-1(x-6)=0[/tex]
[tex](x-6)(x-1)=0[/tex]
[tex](x-6)=0,(x-1)=0[/tex]
[tex]x=6,x=1[/tex]
When x=6, y=2(6)+1=13
When x=1, y=2(1)+1=3
The solutions are (6,13) and (1,3)
The area of the figure is blank
square units.
The area of the figure is 2×3+(2×2)/2=8 square units.
Please help me with all of it
Hello There!
Number 2
3.50x=40
Then, divide both of the numbers by 3.50.
You end up with X=11.42 is greater or equal to 12 movies
Number 3
5h+3
5 ‘5’ + 3 = 30
Number 4,5,6 are attached in images below.
(3square root8x^5)-(4square root256y^3)
Write in exponential form
and simplify
Answer:
[tex]2x^\frac{5}{3} - 4y^\frac{3}{4}[/tex]
Step-by-step explanation:
Given equation:
[tex]\sqrt[3]{8x^5} - \sqrt[4]{256y^3}[/tex]
([tex](8x^5)^\frac{1}{3} - (256y^3)^\frac{1}{4} \\ (8^\frac{1}{3} . x^\frac{5}{3} ) - (256^\frac{1}{4}. y^\frac{3}{4})\\ 2x^\frac{5}{3} - 4y^\frac{3}{4}[/tex] !
The initial equations of (3√8x^5) and (4√256y^3) are first changed to exponential form and then simplified to final forms of 6x^2√x and 64y respectively. The final simplified form of the entire equation therefore becomes 6x^2√x - 64y.
Explanation:The given expression is (3√8x^5) - (4√256y^3). Lets breakdown and simplify each component firstly.
The first expression, 3√8x^5, can be written as 3*(8x^5)^(1/2). The number 8 can be expressed as 2^3 and x^5 as (x^2)^(5/2). So, 3√(8x^5) simplifies to 3*2x^2*√(x) = 6x^2√x.
For the second expression, 4√256y^3, can be written as 4*(256y^3)^(1/2). The number 256 can be expressed as 2^8 and y^3 as (y^2)^(3/2). So, 4√(256y^3) simplifies to 4*16y = 64y.
Now, putting these values back into the original equation, we get: 6x^2√x - 64y
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Simplify 8^3 using scientific calculator
Answer:
8*8*8 if thats what you mean. Same outcome as 8^3
Step-by-step explanation:
Final answer:
To simplify 8³ on a scientific calculator, input 8, press the exponentiation key, enter 3, and press '=' to get the result of 512, or 5.12 x 10² in scientific notation.
Explanation:
To simplify 8² using a scientific calculator, you would typically follow these steps:
Ensure that the calculator is turned on and in the correct computational mode.
Enter the number 8.
Press the exponentiation key, often labeled as '^', 'exp', or represented by a caret symbol.
Enter the number 3 to represent the power to which you are raising 8.
Press the '=' or 'Enter' key to execute the calculation.
The calculator will give you the answer, which is 512. When simplifying further, if we were to represent this number in scientific notation, it would be written as 5.12 times 10², as it has three significant figures.
Wanahton is cooking a breadstick on a rectangular baking sheet measuring 9\dfrac129
2
1
9, start fraction, 1, divided by, 2, end fraction inches (\text{in})(in)left parenthesis, i, n, right parenthesis by 13\,\text{in}13in13, space, i, n. Assuming the breadstick width is negligible, what is the longest breadstick Wanahton could bake by fitting it straight along the diagonal and within the baking sheet to the nearest inch?
Answer:
The longest bread stick is approximately 16 in
Explanation:
The diagram representing the tray is shown in the attached image
From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in
Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:
c² = a² + b²
where c is the length of the hypotenuse and a and b are the length of the two legs
Substitute with the givens in the above equation to get the length of the hypotenuse as follows:
c² = (9.5)² + (13)² = 259.25
c = 16.1 in which is approximately 16 in
From the above, we can conclude that:
The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in
Hope this helps :)