Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
Answer please, be sure your right or don’t answer at all.
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
24 is 15% of what number
Answer:
160
Step-by-step explanation:
Is means equals and of means multiply
24 = 15% * N where N is the unknown number
Change to decimal form
24 = .15 N
Divide each side by .15
24/.15 = .15N/.15
160 = N
Answer:
160 because 15% of 160 is 24 meaning 24 is 15% of 160
Step-by-step explanation:
Sarah saving to buy A new phone. She needs
$150 And she has already Saved $63
Answer:
$87
Step-by-step explanation:
What is the volume of the cone?
Answer:
70/3 πcm
Step-by-step explanation:
hope this helps
Accurately measure
approximately
(within 10%) 1. 00 g of
sodium hydroxide
Restart
Check
Tare
To accurately measure approximately 1.00 g of sodium hydroxide within a 10% margin of error, a balance or scale with a precision of at least 0.1 g should be used.
1. Balance or scale with appropriate precision: To measure approximately 1.00 g of sodium hydroxide within a 10% margin of error, it is important to use a balance or scale that provides sufficient precision. A balance or scale with a precision of at least 0.1 g would be suitable for this purpose. Such a device would allow measurements to be made with an accuracy of 0.1 g, ensuring that the measurement of 1.00 g of sodium hydroxide falls within the desired 10% margin of error.
2. Measurement procedure: To accurately measure approximately 1.00 g of sodium hydroxide, follow these steps:
- Place a clean and dry weighing boat or container on the balance or scale.
- Tare the balance or scale to zero to subtract the weight of the weighing boat.
- Carefully add sodium hydroxide to the weighing boat until the displayed weight reaches approximately 1.00 g.
- Make small adjustments, adding or removing sodium hydroxide, to achieve the desired weight as closely as possible.
- Once the weight is stable and close to 1.00 g, record the measurement.
By using a balance or scale with an appropriate precision and following a careful measurement procedure, it is possible to accurately measure approximately 1.00 g of sodium hydroxide within a 10% margin of error.
Learn more about sodium hydroxide : brainly.com/question/10073865
#SPJ11
Indicar a qué propiedad pertenece cada uno de los siguientes casos: -7,5 + 3/2 = -6 3√2 + 2√2 = 5√2 (1/2) + (3 + √8)
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
To know more about correlation coefficients, visit,
https://brainly.com/question/4219149
#SPJ4
four percent of the customers of a mortgage company default on their payments. a sample of 20 customers is selected. what is the probability that exactly two customers in the sample will default on their payments?
Using the Binomial probability distribution,
The probability that exactly two customers in the sample will default on their payments is 0.31..
We have given that,
4% of total customers a mortgage company default on their payments .
The probability of success i.e number of customers default on their payments (p) = 4%
= 0.04
The probability of failure (q) = 1-p = 1-0.04 = 0.06
Total number of customers in sample (n) = 20
we have to find out the probability that exactly two customers in the sample will default on their payments.
Using the Binomial probability distribution,
P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
the required probability is P(X= 2 )
Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸
=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31
Hence, the required probability is 0.31
To learn more about Binomial probability distribution, refer:
https://brainly.com/question/24239758
#SPJ4
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
8x + 6y = 66
8x - 4y = -4
A. Add to eliminate y.
B. Subtract to eliminate x.
C. Subtract to eliminate y.
D. Add to eliminate x.
Answer:the answer would B
Step-by-step explanation:
When you subtract the x will be eliminated because 8 -8 is 0
Hope it helps:)
Mason is going to invest in an account paying an interest rate of 5.3% compounded
quarterly. How much would Mason need to invest, to the nearest hundred dollars,
for the value of the account to reach $205,000 in 14 years?
Answer:
$98,089.74
Step-by-step explanation:
The computation of the invested amount i.e. present value is shown below:
As we know that
Present value = Future value ÷ (1 + rate of interest)^years
= $205,000 ÷ (1 + 0.053 ÷4)^4 × 14
= $205,000 ÷ (1.01325)^56
= $98,089.74
Answer:
98100
Step-by-step explanation:
11. Gael wants to build a bike ramp
such that mzB is less than 50°.
His plan is shown below. Will it
work? Explain.
No, the plan will not work because tan B = 8/5; B ≈ 58°
How to use trigonometric ratios?There are three primary trigonometric ratios for a right angle triangle and they are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
To get angle B, we will make use of trigonometric ratios to get:
tan B = 8/5
tan B = 1.6
B = tan⁻¹1.6
B = 58°
From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.
Read more about trigonometric ratios at: https://brainly.com/question/13276558
#SPJ1
The continuous function f is defined on the closed interval [−5,5]. The graph of f consists of a parabola and two line segments, as shown in the figure above. Let g be a function such that g′(x)=f(x) (a) Fill in the missing entries in the table below to describe the behavior of f′ and f′′. Indicate Positive, Negative, or 0 . Give reasons for your answers.
f'(x)Negative Zero Negative Zero Zero Zero Positive Positive
f''(x)Positive Negative Negative Zero Zero Positive Zero__ these two are the answer.
The continuous function f is defined on the closed interval [−5,5]. The graph of f consists of a parabola and two line segments.
Let g be a function such that g′(x)=f(x).The given figure is as follows: the function f is continuous on the closed interval [-5,5].
x-5-3-1-1012345f(x)_______-4_____-3_____-2_____-1______0_______1______2
f'(x)Negative Zero Negative Zero Zero Zero Positive Positive
f''(x)Positive Negative Negative Zero Zero Positive Zero__
f'(x) tells us how much the value of f(x) is changing as x increases, so it is the slope of f(x) function. When x < -3, f(x) is
decreasing since f'(x) is negative.When -3 < x < -1, f(x) is constant since f'(x) is zero.When -1 < x < 2, f(x) is decreasing
since f'(x) is negative.When x > 2, f(x) is increasing since f'(x) is positive.f''(x) tells us how much f'(x) is changing as x
increases. When x < -3, f'(x) is increasing since f''(x) is positive. When -3 < x < -1, f'(x) is decreasing since f''(x) is negative.
When -1 < x < 1, f'(x) is zero since f''(x) is zero. When 1 < x < 3, f'(x) is increasing since f''(x) is positive. The other entries
can be figured out by the same reasoning.
Learn more about continous function:https://brainly.com/question/18102431
#SPJ11
Can someone please help answer the questions attached - it's on inverse proportion? :)
Answer:
see explanation
Step-by-step explanation:
(a)
given y is inversely proportional to x³ then the equation relating them is
y = \(\frac{k}{x^3}\) ← k is the constant of proportion
to find k use any of the ordered pairs from the table
using (1, 8 ) , then
8 = \(\frac{k}{1^3}\) = \(\frac{k}{1}\) ⇒ k = 8
y = \(\frac{8}{x^3}\) ← equation of proportion
(b)
when y = 64 , then
64 = \(\frac{8}{x^3}\) ( multiply both sides by x³ )
64x³ = 8 ( divide both sides by 64 )
x³ = \(\frac{8}{64}\) = \(\frac{1}{8}\) ( take cube root of both sides )
x = \(\sqrt[3]{\frac{1}{8} }\) = \(\frac{1}{2}\)
If the alternative hypothesis states that m is not equal to $12,000, what is the rejection region for the hypothesis test?
A). Left Tail
B). Right Tail
C). Both tails
D). All of above
E). None of above
If the alternative hypothesis states that the population mean (μ) is not equal to $12,000, the rejection region for the hypothesis test would be both tails.
This means that we reject the null hypothesis if the sample mean falls in either the left tail or the right tail of the sampling distribution.
In a two-tailed test, we are interested in detecting differences in both directions from the hypothesized value. We want to determine if the population mean is significantly different from $12,000, whether it is greater than or less than $12,000.
To conduct the hypothesis test, we set up the null hypothesis (H₀) as μ = $12,000, and the alternative hypothesis (H₁) as μ ≠ $12,000. The rejection region is determined based on the significance level (α) chosen for the test.
If the test is conducted at a significance level of α, we divide the significance level equally between the two tails of the sampling distribution. For example, if α = 0.05, each tail would have an area of 0.025, resulting in a rejection region in both tails.
When we calculate the test statistic and compare it to the critical value(s) from the appropriate distribution, we reject the null hypothesis if the test statistic falls in either tail of the distribution.
Therefore, the correct answer is C) Both tails.
Learn more about hypothesis here:
https://brainly.com/question/32562440
#SPJ11
f(x) = 2x^2
Find f(-3)
Answer:
f = 6
Step-by-step explanation:
2(-3)^2 = -18
6(-3) = -18
Find the value of 1.69x4.41
Describe the leading coefficient,
a
for the quadratic function shown in the graph below.
12
x
The leading coefficient of the quadratic function a is negative
How to describe the leading coefficient?From the graph, we have the following points:
Vertex, (h,k) = (-4,3)
Point, (x,y) = (-3,2)
A quadratic equation is represented as:
y = a(x - h)^2 + k
So, we have:
2 = a(-3 + 4) + 3
Subtract 3 from both sides
-1 = a(-3 + 4)
Evaluate the difference
-1 = a
This gives
a = -1
Hence, the leading coefficient a is negative
Read more about leading coefficient at:
https://brainly.com/question/19624646
#SPJ6
if 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.
To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.
The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:
x^2 + 4xh = 2100
To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.
We can rewrite the equation for the surface area to solve for h:
h = (2100 - x^2) / (4x)
Now we can substitute this expression for h in the volume equation:
V = x^2 * [(2100 - x^2) / (4x)]
Simplifying, we have:
V = (1/4) * (2100x - x^3)
To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:
dV/dx = 2100/4 - (3/4)x^2 = 0
Solving this equation, we find:
2100/4 = (3/4)x^2
x^2 = 700
x = √700
Substituting this value back into the equation for h, we find:
h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700
Therefore, the largest possible volume of the box is:
V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.
Know more about volume here;
https://brainly.com/question/1578538
#SPJ11
hi can you help it will help me
The exact value of the letter D is three and three-tenths.
What is a number line?A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
By observing the number line there are 10 subsections between two integers.
The letter D is in between two integers 3 and 4 so it can be from 3.1 to 3.9.
In between those ten subsections, the letter D is in the third subsection.
Therefore it is Three and three-tenths.
learn more about number line here :
https://brainly.com/question/13425491
#SPJ1
Solve the following system of equations with Gaussian Elimination:
x1+3x2+x3+x4=3
2x1−2x2+x3+2x4=8
3x1+x2+2x3−x4=−1
The solution to the given system of equations is:
x1 = 7/4
x2 = -1/4
x3 = 0
x4 = 3
To solve the system of equations using Gaussian elimination, we can represent the system in augmented matrix form and perform row operations to transform it into row echelon form (REF) and then into reduced row echelon form (RREF).
The augmented matrix for the given system is:
\(\left[\begin{array}{ccccc}1&3&1&1& |3\\2&-2&1&2 &|8\\3&1&2&-1&|-1\end{array}\right]\)
Performing row operations to transform the matrix into REF:
R2 = R2 - 2R1
R3 = R3 - 3R1
\(\left[\begin{array}{ccccc}1&3&1&1& |3\\0&-8&-1&0 &|2\\0&-8&-1&-4&|-10\end{array}\right]\)
Now, perform row operations to further simplify the matrix:
R3 = R3 - R2
\(\left[\begin{array}{ccccc}1&3&1&1& |3\\0&-8&-1&0 &|2\\0&-8&-1&-4&|-12\end{array}\right]\)
The matrix is now in REF. Now, let's transform it into RREF:
R2 = (-1/8)R2
R3 = (-1/4)R3
\(\left[\begin{array}{ccccc}1&3&1&1& |3\\0&1&1/8&0 &|-1/4\\0&0&0&1&|3\end{array}\right]\)
Now, perform row operations to further simplify the matrix:
R1 = R1 - R2 - R4
R2 = R2 + (1/8)R4
\(\left[\begin{array}{ccccc}1&3&1&1& |3\\0&1&1/8&0 &|-1/4\\0&0&0&1&|3\end{array}\right]\)
Finally, perform row operations to obtain the RREF:
R1 = R1 - 3R2
\(\left[\begin{array}{ccccc}1&0&-5/8&0& |7/4\\0&1&1/8&0 &|-1/4\\0&0&0&1&|3\end{array}\right]\)
The RREF form of the matrix represents the solution to the system of equations:
x1 = 7/4
x2 = -1/4
x3 = 0
x4 = 3
Learn more about Gauss-Jordan elimination here:
https://brainly.com/question/30767485
#SPJ4
What is the volume of a right circular cylinder with a radius of 3 in. And a height of 10 in. ? 30π in³ 60π in³ 90π in³ 120π in³.
Answer:
V = 90π in³
Step-by-step explanation:
Volume of cilinder
=Area of cicle that is the base * height of cylinder
V = π·r²·h
V = π·3²·10
V = π·9·10
V = π·90 in³
Nicole has to write a 6- page essay. If she has written 2/3 of the report so far, how many pages has she written?
Find point G on AB such that the ratio of AG to GB is 3:2.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
he profit on the sale of a bicycle at a bike shop is $35, while the profit on the sale of a tricycle is $21. The owner is interested in making more than $210 in profit per day, and expects to sell at most 8 items per day. However, the owner discovered he was making less than $210 in profit per day. The system that represents this situation is b + t ≤ 8 and 35b + 21t < 210. The graph of the boundary lines is shown below. Which region should be shaded (to form the solution)?
The systems of inequalities given is,
\(\begin{gathered} b+t\leq8\ldots\ldots\ldots.1 \\ 35b+21t<210\ldots\ldots.2 \end{gathered}\)Since he can't sell more than 8 items per day, then from the graph given the best region that should be shaded is region 4.
The lengths of two sides of a triangle are 11 and 17. Which
measurement cannot be the length of the third side? *
Answer:
Step-by-step explanation:
The third side must be less than 11+17 = 28 units
A model boat i 15 inche long if the boat i bulit to a cale of 1 : 250 inche how long i the real boat
define a variable
write a porortion
olve the porportion
anwer with word
If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.
What does a scale look like in math?The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.
Briefing:The scale of drawing the horse = 1 inch :
Therefore in scale
Horse height in drawing equals one inch
The height of the horse = 250 inche
The original height of the horse = 15 inche
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 250 inche = x inches : 15 inche
1 / 250 = x / 15
1 × 15= 250x
250x = 15
x = 15/250
x = 0.06 inches
Therefore, the height of the horse in drawing is 0.06 inches
To know more about scale visit:
https://brainly.com/question/4261493
#SPJ4
On a scale drawing, a kitchen wall is 6 inches long. The scale factor is 1/24 What is the length of the actual wall?
the length of the actual kitchen wall is 144 inches.
What is Scale?The ratio used to depict the relationship between the dimensions of a model or scaled figure and the corresponding dimensions of the real figure or object is called the scale. On the other hand, a scale factor is a value that is used to multiply all of an object's parts in order to produce an expanded or decreased figure.
Given, On a scale drawing, a kitchen wall is 6 inches long. The scale factor is 1/24
If the scale factor is 1/24, it means that every 1 inch on the drawing represents 24 inches in real life.
Let's set up a proportion:
1 inch on the drawing : 24 inches in real life = 6 inches on the drawing : x inches in real life
where x is the length of the actual wall.
To solve for x, we can cross-multiply:
1 inch on the drawing * x inches in real life = 6 inches on the drawing * 24 inches in real life
x = 6 inches on the drawing * 24 inches in real life / 1 inch on the drawing
x = 144 inches in real life
Therefore, the length of the actual kitchen wall is 144 inches.
Learn more about scale here:
https://brainly.com/question/1287267
#SPJ1
what does it mean to talk about the'surface area' of a box?
Step-by-step explanation:
this is what I found hope it helps you °~°
Write the following expression as a simplified polynomial in standard form.
2(x+3)^2+3(x+3)+1
Answer:
11 times (9x)
Step-by-step explanation:
which statment is not true about the absolute value of -6
Answer:
we can’t see the questions
Step-by-step explanation: