Answer:
cars= 32 , trucks= 55
Step-by-step explanation:
add all the cars up then the trucks
the minimum distance between earth and mars is about 33,900,000 miles how can this distance be expressed in scientific notation
Answer:
3.3⁷
Step-by-step explanation:
To make a scientific notation the whole number must be more than 1 and less that 9.9 repeating. To do this, move the decimal however many times it takes to make the whole number (the number before the decimal) more than one and less that 9.9 repeating. For the number 33,900,000, the decimal must be moved 7 times, which is why I added the 7 exponent. Also when making a number into a scientific notation, be sure to add the number after the whole number, placing it after the decimal.
solve 3x-1.5 ≤ 22.5
could i have a clear demonstration?
Answer:
x≤8
Step-by-step explanation:
3x-1.5≤22.5
Move the constant to the right side and change its sign to the opposite.
3x≤22.5+1.5
Add up the numbers.
3x≤24
Divide.
x=24/3
x≤8
Answer:
x= 8
Step-by-step explanation:
So this is not as hard as it looks
the aim of this question is to work out what x is
so we need to find x on it's own
therefore we must work on removing the number on the right and to do this we first of all have to get a number that is divisible by 3.
now this is not always the case but I think you can tell from this question that it is obvious.
so what you do first is reverse the -1.5 into a positive and if it was the other way round so positive to a negative
so we do 1.5 + 22.5 which equals to 24
now this is simple division so 24 ÷ 3 = 8
therefore making the answer x = 8
Mary lives between points (3,-1) and (7,5) on Duval street. Val lives between points (2,15) and (-6,3) on Braxton lane. Are duval st and Braxton lane parallel or perpendicular
Duval Street between latitudes (3,1) and (7,5). Val resides between coordinates (2, 15) and (-6, 3). Braxton Lane and Duval Street are not parallel or perpendicular.
Given that,
Mary resides on Duval Street between latitudes (3,1) and (7,5). On Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).
We have to find is Braxton Lane and Duval Street parallel or perpendicular.
To find the lines are parallel or perpendicular we have to find the slope of those points.
If slopes are equal then the lines are parallel.
If slopes are negative reciprocal then the lines are perpendicular.
We find the slope of Mary resides on Duval Street between latitudes (3,1) and (7,5).
m₁=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m₁=[tex]\frac{5 -1 }{7-3 }[/tex]
m₁=4/4
m₁=1
The slope of the Mary resides on Duval Street between latitudes (3,1) and (7,5) is 1.
We find the slope of Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).
m₂=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m₂=[tex]\frac{3 -15 }{-6-2 }[/tex]
m₂=-12/-8
m₂=3/2
The slope of the Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3) is 3/2.
m₁≠m₂
Therefore, Braxton Lane and Duval Street are not parallel or perpendicular.
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A penny is dropped from the top of a new building. Its height in feet can be modeled by the equation y = 256 - 16^{2} , where x is the time in seconds since the penny was dropped. How long does it take for the penny to reach the ground?
I would greatly appreciate help with this word problem, thanks!
≧◠ᴥ◠≦✊
Answer:
4 seconds
Step-by-step explanation:
Given equation:
[tex]y=256-16x^2[/tex]
where:
y = The height of the penny (in feet).x = The time since the penny was dropped (in seconds).The penny reaches the ground when the height is zero, so when y = 0.
Substitute y = 0 into the given equation and solve for x:
[tex]\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}[/tex]
As time is positive, x = 4 only.
Therefore, it takes 4 seconds for the penny to reach the ground.
Anyone know the answer for this
Answer: The question, please?
Step-by-step explanation:
Assume that when human resource managers are randomly selected, % say job applicants should follow up within two weeks. If human resource managers are randomly selected, find the probability that exactly of them say job applicants should follow up within two weeks.
The probability that exactly of them say job applicants should follow up within two weeks is 0.2291
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The binary probability distribution can be used to model the given issue.
Assume that X is a binomial random variable with the values n and p, where n is the total number of human resource managers that were randomly chosen and p is the likelihood that the chosen manager will advise job seekers to follow up within two weeks.
total human resource managers were chosen at random, n = 9
The likelihood that the chosen human resources manager will advise job seekers to follow up within two weeks = 57 (0.57)
As we are aware, the probability of "m" successes for a binomial distribution is calculated as -
[tex]P(X=m) = ^{n}C_{m} (p)^{m}(1-p)^{n-m} = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}[/tex]
Using the aforementioned data, we can now calculate the likelihood that exactly 6 of the 9 applications who were chosen will advise job seekers to follow up within two weeks as follows:
n = 9
p = 0.57
m = 6
[tex]P(X=m) = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}[/tex]
[tex]P(X=6) = \frac{9!}{6! (9-6)!}(0.57)^{6}(1-0.57)^{9-6}[/tex]
[tex]= \frac{9!}{6! 3!} (0.57)^{6} (0.43)^{3}[/tex] = 0.2291 (rounded to 4 decimal places)
Therefore, the probability that exactly of them say job applicants should follow up within two weeks is 0.2291
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x+1 2/3 =2 3/8 what is x
Answer:
X=17/24
Step-by-step explanation:
first you need to find common denominators. To find it, you would multiply the denominator of the 1 2/3 and the 2 3/8.8*3=24, which means the denominator is 24. For 1 2/3, we multiplied 3*8 so we also have to do it for 2. The new equation is x+1 16/24=2 3/8. But remember, we still have to multiply 8*3, which means we have to multiply 3*3 too.
New equation:x+1 16/24=2 9/24
Now we can subtract 1 16/24 from each side
X=17/24
3. What is the next term in the sequence?
243, 81, 27,9,...
O
O
-3
O
-9
O`
3
The next term would be 3 then 1 in the sequence 243, 81, 27, 9,... by the term of sequence and series through mathematical sequencing.
What are a series and a sequence?A grouping of numbers in a kind of a specific order is known as a sequence. On the other hand, a series can also be described as the accumulation of a kind of a sequence’s constituent parts.
Basically, the sequence proceeds with a dividing term of 3. The sequence will go on with the square root of the previous number. Basically, from backward, the sequence is an exponential multiple of 3.
What do the terms sequence and series mean?Mathematical sequence and series formulas pertain to several kinds of sequences and series. A series is the accumulation of elements in a sequence, which is a group of arranged elements that follow a pattern.
The formulas for the nth term and the sum are typically included in the sequence and series formulas.
What distinguishes serial from sequential data?A series is made up of all the elements in a sequence, while a sequence is a certain arrangement of elements in a specific order.
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If i=1, what is the value of /³?
Answer:
-1Step-by-step explanation:
using the real question in the comments
If i = -1, what is the value of i^3?
i³
replace values
-1³ =
(-1)x(-1)x(-1)
-1
-----------
7 231/500 As a decimal
Answer:
7.462
Step-by-step explanation:
Answer:
7 231/500 As a decimal
Step-by-step explanation:
To write 231/500 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 231 by 500 what we write down as 231/500 and we get 0.462
Hope this helps!
The necklace is priced $85. You have a 15% discount and tax is 6%. What
will your final price be?
Solve the exponential equation
4^x = 7(3^x)
The solution to the given exponential equation is; x = 6.48
What is the solution to the exponential equation?
We want to solve the exponential equation;
4^(x) = 7 - (3^x)
We can use logarithm or inverse of logarithm to solve this but in this case we will use the logarithm to get;
x log 4 = 7 - (x log 3)
x log 4 + x log 3 = 7
x(log 4 + log 3) = 7
1.08x = 7
x = 7/1.08
x = 6.48
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Algebraic Identity help
In the picture, the polynomial equation is (3x-k)². The values of k=4 and p=-24.
Given that,
In the picture, the polynomial equation is (3x-k)²
We have to find the k value and p value if (3x-k)²=9x²+px+16
Polynomial means polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.
We get,
(3x-k)²=9x²+px+16
9x²-6xk+k²=9x²+px+16
We get,
p=-6k and k²=16
k²=16
k=4
Substitute in p=-6k
p=-6×4
p=-24
Therefore, the values of k=4 and p=-24.
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Determine the value of A so that x-1 is a factor of 2x^3 +x^2+2Ax+4
Answer:
When a polynomial f(x) is divided by ax + b and f(a/b) = 0, ax - b is a factor of f(x).
Let 2x³ + x² + 2Ax + 4 be f(x).
f(1) = 0
Substitute x = 1 into the equation.
2(1)³ + (1)² + 2A(1) + 4 = 0
2 + 1 + 2A + 4 = 0
2A = -7
A = -7/2
wHAT IS THE ANSWER OF THIS? the correct answer will be marked brainliest
A) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over times, x measured in seconds. During what interval(s) of the domain is the water balloon's height staying the same?
A.0 ≤ x ≤ 2
B.2 ≤ x ≤ 5
C.5 ≤ x ≤ 6
D.6 ≤ x ≤ 8
B) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. During what interval(s) of the domain is the water balloon's height increasing?
A.0 ≤ x ≤ 2
B.40 ≤ y ≤ 70
C.5 ≤ x ≤ 8
D.40 ≤ y ≤ 10
C) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. During what interval(s) of the domain is the water balloon's height decreasing the fastest?
A.5 ≤ x ≤ 9.5
B.8 ≤ x ≤ 9.5
C.6 ≤ x ≤ 8
D.5 ≤ x ≤ 6
D) The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. Justify your answer from Part C.
A.5 ≤ x ≤ 9.5 is the interval where the balloon's height is decreasing.
B.8 ≤ x ≤ 9.5 is the interval where the slope is the steepest.
C.6 ≤ x ≤ 8 is the interval where the balloon's height decreases the most.
D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.
Please help as fast as possible <3
From the given linear function, we have that:
A. The function is constant on the following interval: B.2 ≤ x ≤ 5.
B. The function is increasing on the following interval: A.0 ≤ x ≤ 2.
C. The function is decreasing the fastest on the following interval: D.5 ≤ x ≤ 6.
D. The justification for the previous item is: D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.
When a function is constant?A function is constant when it's graph is an horizontal line, hence in this problem the function is constant for two intervals.
2 ≤ x ≤ 5.10 ≤ x ≤ ∞.Hence, in item A, option B is correct.
When a function is increasing?A function is increasing on the intervals that y is increasing while x increases, that is, the function is moving right and up.
Hence, in item B, option A is correct.
When a function is decreasing?A function is decreasing on the intervals that y is decreasing while x increases, that is, the function is moving right and down.
The decrease is faster when the division of the change in the output by the change in the input has the lower value(greater absolute negative).
Hence:
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–2.29(d + 1) = –6.87
Isolate the variable by dividing each side by factors that don't contain the variable.
[tex]-2.29(d+1)=-6.87[/tex]
[tex]d=2[/tex]
^Hence, our solution
________________________________________________
Hope this helps!
On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2).
What are the coordinates of the image of vertex R after a reflection across the y-axis?
(–4, 3)
(4, –3)
(–3, –4)
(3, 4)
Translation of negative 6 units x, negative 2 units y composition reflection across the x-axis
Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y
Translation of negative 6 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 translation of negative 6 units x, negative 2 units y
The reflection of the coordinate (-3, 4) over the y-axis is (3, 4).
Reflection of coordinatesThe Y-coordinates do not change when a point is reflected across the Y-axis. However, the X-coordinates are changed into their opposite signs.
Given the coordinates of the triangles RST as shown below;
R = (-3, 4)
S = (-1, -4)
T = (-4, -2)
If (x, y) for instance is reflected over the y-axis, the resulting coordinate will be (-x, y). Similarly, if the coordinate R (-3, 4) is reflected over the x-axis, the resulting coordinate point will be (3, 4)
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What is the zero of the function represented by this graph?
Answer:
Correct answer should be x= -6
Step-by-step explanation:
prove me wrong
Please help
Solve for x. Show each step of the solution.
2.54-x+12=21-42.5x+7
The value of the variables 'x' in the equation is 0. 32
What are algebraic expressions?Algebraic expressions can be defined as expressions consisting of constants, factors, coefficients, variables as well as terms.
They are also composed of certain mathematical operations such as;
AdditionSubtractionDivisionBracketParenthesesMultiplication, etcGiven the expression;
2.54 - x + 12 = 21 - 42.5x + 7
To determine the value of x, we have to follow the following steps;
collect like terms
-x + 42. 5x = 21 + 7 - 12 - 2. 54
Add or subtract like terms
41. 5x = 13. 46
Make 'x' the subject of formula by dividing both sides by the coefficient of x
x = 13. 46/41. 5
Divide the values
x = 0. 32
Hence, the value of x is 0. 32
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Please help me i really need help. you get 49+ pts
Answer:For the first one i only know the answer to the division problem i don't know how to do the box things but the division problem is 2,867 divided by 61=47 with no remainder.
The second one is 3,353 divided by 75 =40 R 4
Nathan and his brother Zach love to play video games. Right now, Nathan's score is 11 less than 2 times Zach's score.-example, if Zach has 80 points, then Nathan has 149 points. Find four more possibilities for the brothers' scores and fir he table below. Then write a rule relating Nathan's score, N, to Zach's score, Z.
Zach's score, Z, and Nathan's score, N, are related by the formula
2Z-11=N.
This is further explained below.
What are algebraic expressions?Generally, Assume Nathan has a score of N and Zach has a score of Z.
Zach's score is 11 points higher than Nathan's.
It implies,
N equals twice of Z minus 11.
We may format it as follows:
2Z - 11 = N
There are now four possible outcomes for these two brothers' scores:
Zach's score will be determined using algebraic formulas if Nathan's score is 81.
2Z - 11 = 81
2Z = 92
Z = 46
Zach's score will be 61 if Nathan receives a score of 111.
Zach's score will be 121 if Nathan's score is 231 or higher.
Zach's score will be 456 if Nathan's score is 901.
The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.
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six tickets to a movie cost $76.50. What constant of proportionality relates the number of tickets and total cost?
The constant of proportionality is 12.75
The constant of proportionality is the ratio of the constant values of two proportional quantities.
Two changing values are said to be in proportion when either their ratio or product results in a constant. The proportionality constant's value is determined by the Direct Variation and Inverse Variation types of proportions between the two supplied values.The direct proportionality equation, y = kx, shows that when x increases, y increases at the same rate. As an illustration, y x stands for the cost per item(y), which is inversely related to the quantity of items(x) bought.The indirect proportionality equation, y = k/x, shows that when y increases, x decreases, and vice versa.The direct variation is given by y = k x where k is the constant of proportionality.
Now the cost of 6 tickets is $76.50
76.50 = k × 6
or, k = 12.75
Therefore the constant of proportionality is 12.75
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9 x 87 = (9 x _) + (_ x 7)
The missing numbers here are given by 9×(80+7)=(9×80)+(9×7)
What are missing numbers?
Missing numbers are the numbers that got missed in the given series of numbers with similar differences among them. The process of writing the missing numbers is termed as finding similar changes between those numbers and filling their missing values in their specific series and places.
Here, given 9×87=(9×some number)+(another number×7)
Let x and y be the missing numbers.
9×87=(9×x)+(y×7)
We can write 9×87=9×(80+7)
Using distributive property,
9×87=(9×80)+(9×7)
On comparing, we get x=80,y=9.
Hence, the missing numbers are 80, 9
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Please tell me the answer to this and i will mark you brainliest
Answer:
A = 2x0 = 0
B= 2x2 = 4
Similarity: they both pass the origin
Difference: They have different gradients: y=2x has a gradient of 2 and y=x has a gradient of one
Step-by-step explanation:
A = 2x0 = 0
B= 2x2 = 4
Similarity: they both pass the origin
Difference: They have different gradients: y=2x has a gradient of 2 and y=x has a gradient of one
Write the following number in standard decimal form.
eleven and seventy-eight hundredths
Answer: 11.78
Step-by-step explanation:
okay soo.. Vance wants to determine if an old photo frame is still rectangular. The height of the frame is 8 inches, the base is 6 inches and the diagonal is 10 inches long. Is the old photo frame still rectangular? how do you know?
We can check this using Pythagoras' theorem.
Explain Pythagoras' theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship in Euclidean geometry between the three sides of a right triangle. It asserts that the area of the square with the hypotenuse (the side opposite the right angle) equals the sum of the areas of the squares with the other two sides. This theorem may be expressed as an equation linking the lengths of the legs a, b, and the hypotenuse c, which is known as the Pythagorean equation: a² + b² = c²
According to Pythagoras' theorem, as we see a² + b² = c²
6² + 8² = 10², so the photo frame is still a rectangle.
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1. Passes through (6, 2) and (-3, 1)
The equation of line is found as y = 9x - 16.
What is described as the equation of the line?The "equation of a line" is an important topic in high school algebra. This is an x and y equation whose solution set is just a line in the (x,y) plane. The "slope-intercept" form is the most commonly used in algebra. y = mx + b, where, m is the slope and b is the y-intercept.For the given question;
The passing points of the line are (6, 2) and (-3, 1).
The slope of line is calculated as;
slope = m = (y₂ - y₁)/(x₂ - x₁)
Where,
(x₁, y₁) = (6, 2)
(x₂, y₂) = (-3, 1)
Put the values;
m = (-3 - 6)/(1 - 2)
m = -9/-1
m = 9
Then, the equation of line using slope intercept form is-
y - y₁ = m (x - x₁)
Put the values;
y - 2 = 9(x - 2)
Simplifying;
y -2 = 9x - 18
y = 9x - 16
Thus, the equation of line is found as y = 9x - 16.
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The complete question is -
What is the equation of the line that passes through P( 6,2) and S (- 3,1)?
every tuesday joe has a beer with 2 friends. they each have a unique token and every tuesday, they each put their token in a hat and ask the bartender to draw one token out. the person whose token is drawn pays the tab. over the next 3 weeks, what is the chance that joe has to pay the tab at least once? fill in the answer as a percent carried to one decimal place, but without the percent sign.
0.384 is the chance that joe has to pay the tab at least once by probability.
What is a math illustration of probability?
The likelihood or chance of an event happening is known as probability. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.The four most popular approaches to probability are classical, empirical, subjective, and axiomatic.Every tuesday Joe has beer with 4 friends .
Each have unique token , and the person whose token is drawn pays the tab.
Since , there are Joe and 4 friends , so we have total of 5 persons.
Now, probability that Joe token will be drawn is = 1 / 5 { 1 (Favourable Outcome) \small / 5 (Total Outcome) }
i.e there is 1/5 = 0.20 probability that Joe token will be drawn and he will pay the tab.
Over the next 3 weeks , we need to find the change that Joe pays the tab exactly one time.
Here we have n = 3 ( weeks ) , and probability of success is p = 0.20
i.e probability that Joe will pay tab (Success) is p = 0.20 and probability that Joe will not pay tab ( failure ) is 1-p = 0.80.
So we can model it by binomial distribution , as we have only two outcome which are i) Joe pays the tab , ii) Joe do not pay tab.
X ~ B(n=3 , p =0.20)
We need to find P(X=1) , i.e exactly one time Joe pays the tab .
Since, we have approximate that X follows binomial distribution , so we have
f(x) = P(X=x) = \small \binom{n}{x}p^x(1-p)^{n-x}
Hence
P(X=1) = ( n 1 ) p¹ ( 1 - p)ⁿ⁻¹
= ( 3 1 ) 0.2¹ ( 1 - 0.2)³⁻¹
= 3 * 0.2 * 0.8²
= 0.384
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What is the equation of the line that passes through (-2, 2) and (1,-4)?
Oy=-2x-4
OY=2x-2
Oy=2x+4
Oy=-2 X-2
Answer:
2x-4 ravdhzfjztjt,h,rufhfjfjfjufff,ufhfutitig
Step-by-step explanation:
xbsndnsnfnzndnzanayrURJfjgjgkgjgk gk