Answer:
(2x)-8 is the correct answer
Step-by-step explanation:
Hope this helps
im struggling fr help me
write an equation of the line in slope intercept form
The equation of the line in slope intercept form is y = (-4/3)x .
In the question ,
a line graph is given ,
we need to find the equation of that line .
the two points that are given on the line graph are (-3 , 4) and (0 , 0) ,
the equation of the line passing from the points (x₁ , y₁) with slope m in the slope intercept form is given by
(y - y₁) = m(x - x₁) .
we first need to find the slope .
So , m = (0 - 4)/(0 + 3)
m = -4/3
The equation of the line passing from the points (-3 , 4) with slope -4/3 , in the slope intercept form is
(y - 4) = (-4/3)(x -(-3))
y - 4 = (-4/3)(x + 3)
y - 4 = (-4/3)x - 4
y = (-4/3)x - 4 + 4
y = (-4/3)x
Therefore , The equation of the line in slope intercept form is y = (-4/3)x .
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Find x
35°
100°
X
algebra 1
Answer:
X would be 135 degrees
Step-by-step explanation:
35 is a vertical angle
180-(100+35) = 45
By supplements, 180-45 = 135 which would be your answer
hope this helps
the value o f x is 135, it mean x=135°
0.000007328 rounded to the nearest millioneth,the numbers is about
When the numerical data (number) 0.000007328 is rounded to the nearest millionth, the number is about 0.000007.
What is a place value?A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsTen thousandthsHundred thousandthsMillionths.UnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.Based on the numerical data (number) provided above, the place value of seven (7) is millionth and it would be rounded up as seven (7) because the next number on its right (3) is less than five (5) and as such, it can seven (7) rounded up to eight (8).
In this context, we can reasonably infer and logically deduce that 0.000007 is a numerical data (number) that represents millionth based on the place value of seven (7).
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Help me please image is attached I really appreciate it
An inequality to find the number of batches of rolls Liz can make is 13n/4 ≤ 26 and she cannot make more than 8 batches of rolls.
How to write and solve this inequality?In order to solve this word problem, we would assign a variable to the number of batches, and then translate the word problem into an algebraic inequality as follows:
Let the variable n represent the number of batches.
Since Liz has 26 tablespoons of yeast left in the jar and each batch of biscuits takes 3 1/4 -tablespoons, we have:
3 1/4 (n) ≤ 26
13n/4 ≤ 26
Cross-multiplying, we have:
13n ≤ 26 × 4
13n ≤ 104
n ≤ 104/13
n ≤ 8.
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Complete Question:
Liz wants to make several batches of biscuits. She has 26 tablespoons of yeast left in the jar and each batch of biscuits takes 3 1/4 -tablespoons. Write and solve an inequality to find the number of batches of rolls Liz can make.
How can you write the equation of the
line?
(: before the lady in the video shows
you :)
y 5x = 3
y = 3x - 5
y = -5x + 3
y + 3 = -5x
Highest common factor of 32 , 48 and 72
Answer:
8
Step-by-step explanation:
4*8=32
6*8=48
9*8=72
They are all multiples of 8
Answer: 8
Step-by-step explanation: You can factor out 32, 48, and 72 by using prime factorization which is listing all of the PRIME factors for each number
32: 2 x 2 x 2 x 2 x 2
48: 3 x 2 x 2 x 2 x 2
72: 3 x 3 x 2 x 2 x 2
If you look at all the prime factors, 2 appears in every number 3 times, so you do 2x2x2 to get the final answer, which is 8.
suppose you paid $4 for a bet on a horse and, as a result, you will win $110 if your horse wins a given race. find the expected value of the bet (in $) if the odds that the horse will win are 3 to 12.
The expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
What is expected value?
Expected value is the predictive value of all the possibilities that occur by multiplying the value by the probability.
Winning probability = odds / total outcomes
= 3 / (3 + 12)
= 3 / 15
= 0.2
Now, we need to calculate expected value.
= winning probability x amount won - losing probability x amount lost
= 0.2 x 110 - (1 - 0.2) x 4
= 22 - 3.2
= 18.8
Thus, the expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
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Express your answer as a polynomial in standard form.
f(x)=
f(x)=
\,\,-3x+5
−3x+5
g(x)=
g(x)=
\,\,x^2+2x+15
x
2
+2x+15
\text{Find: }(g\circ f)(x)
Find: (g∘f)(x)
The function (g∘f)(x) expressed as a polynomial in standard form is 9x² - 36x + 40
What is a function?A function can be defined as an equation, a rule or a law that shows or rather explain the relationship between two variables in an equation.
The variables are known as;
The independent variableThe dependent variableWe have the function given;
fx) = - 3x + 5g(x) = x² + 2x + 15To determine the composite function (g ∘f)(x), we have to substitute the value of x as fx) in the function g(x), we have;
(g∘f)(x) = (- 3x + 5)² + 2( -3x + 5) + 5
expand the bracket
(g∘f)(x) = 9x² - 15x - 15x + 25 - 6x + 10 + 5
Now, collect like terms, we get;
(g∘f)(x) = 9x² - 15x - 15x - 6x + 25 + 10 + 5
Add or subtract the like terms, we get;
(g∘f)(x) = 9x² - 36x + 40
The polynomial is written as; 9x² - 36x + 40
Hence, the value is 9x² - 36x + 40
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scores on a standard iq test for people aged 20 to 34 are normally distributed with mean 110 and standard deviation 25. what is the probability that a randomly selected young adult will score between 85 and 160 on this iq test? round your answer to four decimal places.
The probability that a young adult chosen at random will achieve an IQ between 85 and 160 is 0.8185.
The problem states that;
A typical IQ test result for individuals between the ages of 20 and 34 has a mean of 110 and a standard deviation of 25, and the values are regularly distributed.
To get the probability that a randomly selected young adult will score between 85 and 160 on this IQ test.
Let,
P(85 < x < 160) = P[ (85 - 110)/ 25) < (x - μ) / σ < (160 - 110) / 25) ]
= P(-1 < z < 2)
= P(z < 2) - P(z < -1)
= 0.9772 - 0.1587
= 0.8185
Therefore, the probability that a randomly selected young adult will score between 85 and 160 on this IQ test is 0.8185.
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a principal orders t-shirts and wants to check some of them to make sure they were printed properly. she randomly selects 222 of the 101010 boxes of shirts and checks every shirt in those 222 boxes. what type of sample is this?
This is an example of Cluster random sampling.
Cluster sampling refers to probability sampling when the population is divided into multiple smaller groups, also called clusters, and then further sampling is performed to check the data.
Here we can see that the principal had selected 222 boxes randomly over here. This implies that she had taken a group of boxes randomly. Then she proceeded to check every t-shirt in this box.
Therefore here we see that the population i.e the boxes were divided into smaller groups. The 222 boxes are the clusters here. Therefore we can conclude that the principal uses the cluster random sampling method.
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help meeeeeeeeeeeeeeeeee please
Answer:
t=0
Step-by-step explanation:
Your equation would be 324=-16t^2+324 since 370-46 is 324. subtract each side by 324 and you get 0=-16t^2. t=0
please I am begging you, answer this TODAY and show your work.
Answer:
1) t = -2
2) t = 8
3) t = -2
4) t = 1
5)t = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
1)-22t+6 = 11t + 72
-33t = 66
t = -2
2) 3t + 4t - 20 = t + 28
6t = 48
t = 8
3) -8 -10t - 6t = 3t + 30
-19t = 38
t = -2
4) 12t - 6t + 24 = 12t + 12 +6
-6t = -6
t = 1
5) -12-21t-3t=48t-36
-24t - 48t = 12 - 36
-72t = -24
t = [tex]\frac{1}{3}[/tex]
Which of the following is true about the constant of proportionality? Select all that apply. Multiple select questions. cross out
A) The constant of proportionality is also the unit rate. cross out
B) The constant of proportionality is always equal to 1. cross out
C) The constant of proportionality is always equal to 0. cross out
D) There is no constant of proportionality in a nonproportional relationship. cross out
E) If two quantities are proportional, the constant of proportionality is the constant ratio between them.
Answer:
D
Step-by-step explanation:
The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?
(–6, 0) and (–4, 0)
(–2, 0) and (–12, 0)
(4, 0) and (6, 0)
(12, 0) and (2, 0)
The x-intercepts of the quadratic function g(x) = x² - 10x + 24 are given as follows:
(4, 0) and (6, 0).
When does a function crosses the x-axis?A function crosses the x-axis when the numeric value of the function is of y = 0, hence these points are called the x-intercepts of the function.
In this problem, the definition of the function is given as follows:
g(x) = x² - 10x + 24.
This function can be simplified as follows:
g(x) = (x - 6)(x - 4).
Applying the inverse of the Factor Theorem, the x-intercepts are given as follows:
x - 6 = 0 -> x = 6.x - 4 = 0 -> x = 4.Hence the x-intercepts of the function are given by the third option, which is of (4, 0) and (6, 0).
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Answer: C
Step-by-step explanation: trust me
In a certain skyscraper, the elevators whisk you to a restaurant in the skyscraper at a speed of 800 feet
in 10 seconds. If the restaurant is 300 feet up, how long will it take you to reach the restaurant by
elevator?
Answer:
[tex]3\frac{3}{4}[/tex] seconds
Step-by-step explanation:
So you travel 800 feet in 10 seconds. If you divide that by 2, then you travel 400 feet in 5 seconds, or 100 feet in 5/4 seconds. Multiply by 3 to get 300 feet in 15/4 seconds, or 15 feet in [tex]3\frac{3}{4}[/tex] seconds.
which of the following is a linear equation
The option that is a a linear equation is B. 4x - 2 = 20.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign
This is illustrated as 4x - 2 = 20
4x = 20 + 2
4x = 22
x = 22/4 = 5.5
This illustrates an equation.
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9. (-1kw-1z-2)-3
- (-1)-³³₂
11, 9-648
h2
These are the questions here is the photo
Using the simplification of power, [tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}[/tex] and [tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}[/tex].
In the given question,
We have to simplify the given expression.
Before simplifying the expression we first learn that the negative power can be positive after changing their position from numerator to denominator.
We use the method of adding the power of expression to solve the expression.
(1) The given expression is [tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}[/tex].
We firstly simplifying the power after the bracket by multiplying the power to each variable.
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-\frac{1}{4})^{-3}(w^{-1})^{-3}(z^{-2})^{-3}[/tex]
Simplifying the expression.
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1)^{-3}(\frac{1}{4})^{-3}(w^{-3})(z^{6})[/tex]
Now we make the power positive by changing their position
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1){4}^{3}(w^{-3})(z^{6})[/tex]
Simplifying
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}[/tex]
(2) The given expression is [tex]\frac{g^{-6}h^8}{h^2}[/tex].
Simplifying the expression.
As we know that the power with same base get subtracted when they are in division.
So [tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{8-2}[/tex]
[tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}[/tex]
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Pls solve this problem
Answer: -22/5 or -4.4
Step-by-step explanation:
Simplify so 2(22/7*10)(10+h)=352
Distribute so (2*22/7*10)(10) + (2*22/7*10)(h) = 352
Which would equal 4400/7 +440/7h=352
Subtract 4400/7 to both sides
That equals 440/7h=-1396/7
Multiply both sides by 7/440
h=-22/5
what is the value of X
-9(x+6)=-207
Answer:
x=17
It just is. I don't know how to explain it.
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Answer: 4.5m
Step-by-step explanation:
because 12.5 can - by 2.5
then 9.0=9 -5.5=4.5
4-9×2^x+2+1=0. Please help me to solve the question please
Answer:
x=[tex]log_{2} 7/9[/tex]
Step-by-step explanation:
4-9×2^x+2+1=0
4-9×2^x+3=0
4+3-9×2^x=0
7-9×2^x=0
7-7-9×2^x=0-7
-9×2^x=-7
9×2^x=7
9×2^x/9=7/9
2^x=7/9
[tex]log_{2} 2^x[/tex]=[tex]log_{2} 7/9[/tex]
x=[tex]log_{2} 7/9[/tex]
A prize is divided in the ratio
10: 1. If the difference
between the shares is £270
what is the larger share?
Scores for a common standardized college aptitude test
are normally distributed with a mean of 507 and a
standard deviation of 104. Randomly selected students
are given a Test Preparation Course before taking this
test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 student is randomly selected, find the probability
that their score is at least 555.3.
P(X> 555.3) =
The probability that their score is at least P(X> 555.3) = 0.8275
What is a normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.
Here, we have
Let x denotes the score of a man.
standard deviation (σ) = 104
mean (μ) = 507
If 1 of the men is randomly selected, find the probability that his score is at least 553.5 will be :-
P(X > 553.5) = 1 - P(X ≤ x)
= 1 - P{((x - μ)/σ) ≤ (553.5 - 507/104)}
= 1 - P(z ≤ 0.447)
= 1 - 0.1725
= 0.8275
Hence, the probability that their score is at least P(X> 555.3) = 0.8275
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how do I solve this?
Answer:
7
Step-by-step explanation: -13(-1) + 36 + 42(-1)
Step 1: -13(-1)= 13
Step 2: 13 + 36= 49
Step 3: 49 + 42(-1)= 49 + (-42)= 7
Solution: 7
a certain insecticide kills 60% of all insects in laboratory experiments. a sample of 9 insects is exposed to the insecticide in a particular experiment. what is the probability that exactly one insect will die? round your answer to four decimal places.
The probability that exactly one insect will die is 142.611.
Define probability.The subject of a random event is covered in the mathematical field of probability. For instance, if a coin is flung into the air, it could land on its Head or Tail. Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) (S) E is the event, P is the probability, and S is the sample area.
Given,
P( an insect will die) = 0.60
q = 1 - p
q = 1 - 0.60
q = 0.40
Sample size,
n = 9
Binomial distribution:
P(X) = ⁿCₓ pˣ qⁿ⁻ˣ
Probability that exactly one insect will die = P(X = 1)
= ⁹C₁ × 0.6¹ × 0.4⁸
= 362880 × 0.6 × 0.000655
= 142.611
The probability that exactly one insect will die is 142.611.
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Can anyone write the equation of the graph?
The absolute value function y = |x - 3| + 5 generates the representation set on Cartesian plane.
What equation is behind a given graph?
In this question we need to determine the equation behind a representation set on a Cartesian plane. After a quick inspection, we find that the representation shows an absolute value function of the form:
y = |x - a| + b
Where:
a - Horizontal translation factor.b - Vertical translation factor.Based on all the given facts, the primitive absolute value function (f'(x) = |x|) is translated horizontally 3 units in the +x direction and vertically 5 units in the +y direction. If we know that a = 3 and b = 5, then we find the absolute value function y = |x - 3| + 5, whose representation is shown below.
In a nutshell, the representation comes from the absolute value function y = |x - 3| + 5.
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The magnitude, M, of an earthquake is represented by the equation M=23log(EE0) where E is the amount of energy released by the earthquake in joules and E0=104.4 is the assigned minimal measure released by an earthquake. To the nearest tenth, what would be the magnitude of an earthquake releasing 3.4⋅1014 joules of energy?
Magnitude of an earthquake releasing 3.4*10^14 joules of energy is M ≈ 6.754.
Given:
The magnitude, M, of an earthquake is represented by the equation M=2/3log(E/E0) where E is the amount of energy released by the earthquake in joules and E0=10^4.4 .
E = 3.4*10^14
M = 2/3*log(3.4*10^14 / 10^4.4)
= 2/3*log(13535643798.8)
= 2/3*10.1314
= 20.2628 / 3
M = 6.754
Therefore Magnitude of an earthquake releasing 3.4⋅1014 joules of energy is M ≈ 6.754.
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The scatterplot illustrates the relationship between two quantitative variables: the amount of an active ingredient in a medicine and the level of pain relief (on a scale of 1 to 10).
The relationship in the scatterplot is
weak
positive and linear.
positive and nonlinear.
negative and moderately strong.
The relationship in the scatterplot is positive and nonlinear.
We utilize correlation to assess the strength of a linear relationship between two numerical variables. The strength of a linear relationship is gauged by correlation.
What is scatterplot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. A statistical method known as correlation is used to assess the STRENGTH and DIRECTION of the link between two variables. Two identical-person scores are necessary for correlation. These scores are typically denoted by the letters X and Y.An association between two variables is called a correlation. A correlation coefficient, which is a numerical representation of the strength and direction of the relationship, can be used to quantify the amount of correlation, or relationship.To learn more about scatterplot refer to:
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which expression is equivanlent to -18 - 5
Answer:
-18 + -5
Step-by-step explanation:
Because -18 - 5 is an inverse equation, that means that we are doing one equation that looks like something it usually doesn't. When subtracting a negative and a positive in that order, the result will be the sign of the greater value(-18), so the result will be negative. Subtracting a big number that's a negative by a smaller number that's a positive is the same as adding the same numbers together as if they are both negatives. E.g, -4 - 2 = -4 + -2.
Hope this helps!
