Answer:
x=10
Step-by-step explanation:
\(6x-14=46\\6x=60\\x=10\)
What is the midpoint of the line segment with endpoints (-1,7) and (3, -3)?
A. (1, 2)
B. (1,4)
C. (2, 4)
D. (2, 2)
pls help me i need helpppp
Answer:
{-3, -4}
Step-by-step explanation:
hope it will help you☺
At 8:00 a.m., the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?
Solve the question so that way i can get a good score
The volume of the cylindrical bucket with a height of 35 cm and a base diameter of 21 cm is approximately 10971.9 cubic centimeters when rounded to the nearest tenth.
To calculate the volume of a cylindrical bucket, we can use the formula:
Volume = π * r^2 * h
where π is a constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
Given that the base diameter is 21 cm, we can find the radius (r) by dividing the diameter by 2:
r = 21 cm / 2 = 10.5 cm
The height (h) of the bucket is given as 35 cm.
Now we can substitute these values into the volume formula:
Volume = π * (10.5 cm)^2 * 35 cm
≈ 3.14159 * 110.25 cm^2 * 35 cm
≈ 10971.94 cm^3
Rounding the answer to the nearest tenth of a cubic centimeter, the volume of the cylindrical bucket is approximately 10971.9 cm^3.
Therefore, the volume of the cylindrical bucket is approximately 10971.9 cubic centimeters.
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How will the points of a figure move when the translation vector ⟨5, −6⟩is applied?
Answer:
Step-by-step explanation:
Wee
at the 0.05 level of significance, is there evidence that the true mean amount of soft-drink filled is more than 2 liters? explain your answer.
We have evidence to suggest that the true mean amount of soft-drink filled is more than 2 liters.
To answer this question, we need to perform a hypothesis test.
Let's define our null and alternative hypotheses as:
- H0: μ ≤ 2 (the true mean amount of soft-drink filled is less than or equal to 2 liters)
- Ha: μ > 2 (the true mean amount of soft-drink filled is greater than 2 liters)
We will use a one-tailed t-test, since we are only interested in whether the true mean amount of soft-drink filled is greater than 2 liters.
Next, we need to calculate the test statistic and the p-value.
Let's assume we have a sample of soft-drink amounts and their mean is 2.05 liters, with a standard deviation of 0.1 liters.
Using this sample information, we can calculate the t-statistic as:
t = (x - μ) / (s / √n) = (2.05 - 2) / (0.1 / √n)
Assuming a significance level of 0.05 and using a t-distribution with n-1 degrees of freedom, we can find the critical value of t by using a t-table or a statistical software. For a one-tailed test with 49 degrees of freedom, the critical value of t is approximately 1.677.
Using a statistical software or a t-table, we can find the p-value associated with our test statistic. Assuming a sample size of n = 50, we find that the p-value is approximately 0.025.
Since the p-value (0.025) is less than the significance level (0.05), we reject the null hypothesis. There is evidence to suggest that the true mean amount of soft-drink filled is greater than 2 liters.
In conclusion, at the 0.05 level of significance, we have evidence to suggest that the true mean amount of soft-drink filled is more than 2 liters.
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Answer correctly with good explanation. Please and thank you
Answer:
The cost is $352.80
Step-by-step explanation:
step 1. 14 * 12 = 168 ----> find out the area (base times height)
step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet
I hope this helped :))
Please help, i need it done by today,
Answer:
x= 28
do i have to explain
Step-by-step explanation:
Consider the functions f(x) = - 3x + 1 and g(x) = √-x + 5. Determine each of the following .
fog(x) = _____
Give the domain of f o g(x) ______ go f(x) = ______
Give the domain of g o f(x). ______
The domain of f o g(x) is (-∞, 5]. and g o f(x) = √3x - 4
The domain of g o f(x) is (-∞, 5]. f o g(x) = -3√-x - 14
Given that
f(x) = -3x + 1
and
g(x) = √-x + 5.
We need to find the following.fog(x), domain of fog(x), gof(x), and the domain of gof(x).fog(x):
fog(x) means the composition functions, that is
fog(x) = f(g(x)).fog(x)
= f(g(x))= f(√-x + 5)
= -3(√-x + 5) + 1
= -3√-x - 15 + 1
= -3√-x - 14
Domain of fog(x): The domain of fog(x) is the set of values of x such that the fog(x) exists and real.
f(g(x)) exists if g(x) is in the domain of f(x).
For this, we need to check the domain of g(x).
The domain of g(x) is (-∞, 5].
Also, the function f(x) exists only for all real numbers. Hence, the domain of fog(x) is (-∞, 5].
gof(x) means the composition of two functions, that is
gof(x) = g(f(x)).gof(x)
g(f(x))= g(-3x + 1)
= √-(-3x + 1) + 5
= √3x - 4
Domain of gof(x): The domain of gof(x) is the set of values of x such that the gof(x) exists and real.
g(f(x)) exists if f(x) is in the domain of g(x).
For this, we need to check the domain of f(x).
The domain of f(x) is all real numbers. Also, the function g(x) exists only for x ≤ 5.
Hence, the domain of gof(x) is (-∞, 5].
Thus,fog(x) = -3√-x - 14
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how to find the distance between 1.5 and any point,n,on a numberline
The distance between 1.5 and any point,n,on a number line is |1.5 - n|
How to determine the distanceFrom the question, we have the following parameters that can be used in our computation:
Points = n and 1.5
The distance between these points is the absolute difference between them
This is represented with the following equation
Distance = |1.5 - n|
Hence, the distance is |1.5 - n|
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a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
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.
This is trigonometry and I need to find angle yxz and the answer has to be to 3 sf
Answer:
Below.
Step-by-step explanation:
tan < XYZ = opposite/adjacent
= 8/20 = 0.4.
XYZ = 21.8 degrees to 3 s f.
Sharon's brother works at a shoe store and earns a commission. He earns 2.5% of the amount he sells. Last week he sold $900 worth of shoes, how much did he earn in commission?
Answer:
her brother either earns 12.6$ or 22.6$
Step-by-step explanation:
If any of those answer where correct thanks add me as a brainlist
HELP me please with 9,10,11,12
Answer:
9.) The Outlier is 18
-The outlier is the number that stands out and is different
(URGENT!! PLS HELP) The color of paint used to paint a race car includes a mixture of yellow and green paint. Scotty wants to lighten the color by increasing the amount of yellow paint 30%. If a new mixture contains 3.9 liters of yellow paint, how many liters of yellow paint did he use in the previous mixture?
Answer:
3 litersStep-by-step explanation:
Let the initial amount of yellow paint be x
Then we have x increased by 30% equals 3.9 liters:
x + 0.3x = 3.91.3x = 3.9x = 3.9/1.3x = 3 liters2. Neal's W-2 form showed that he earned $19,865 in wages of this, $496.63was withheld for local tax. what percent of his wages were withheld forlocal tax?а.b.C1%10%2.5%
To find the percent of the wages that were withheld for local tax, we can proceed as follows:
\(p=\frac{496.63}{19865}\cdot100\Rightarrow p=0.025\cdot100\Rightarrow p=2.5\)Then, the answer to this question is 2.5%.
when data are positively skewed, the mean will usually be
With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.
Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.
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Which square root is between 4 and 5
10
14
24
32
They are divided by the way
If y varies directly with x, write an equation for the direct variation. Then find each value.1. If x= -12 when y= -3 find x when y= -6
Since y varies directly with x then
\(\begin{gathered} \frac{y}{x}=k \\ \text{Where k }is\text{ the constant of proportionality} \end{gathered}\)So,
\(\frac{y}{x}=\frac{-3}{-12}=\frac{3}{12}=\frac{1\cdot3}{4\cdot3}=\frac{1}{4}\)Then, 1/4 is the constant of proportionality. So that,
\(\begin{gathered} \frac{y}{x}=\frac{1}{4} \\ \frac{-6}{x}=\frac{1}{4} \\ -\frac{6}{x}\cdot x=\frac{1}{4}\cdot x \\ -6=\frac{x}{4} \\ 4\cdot-6=\frac{x}{4}\cdot4 \\ -24=x \end{gathered}\)what is the sum of the measure of angles c=<140 A= <140 B<40
The measure of each angle is given as c equal to 140°, A equal to 140°, and B equal to 40°. When added together, the sum of the measure of angles c, A, and B is equal to 320°.
What is angle?Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.
An angle is the figure formed by two rays that have the same endpoint. The measure of an angle is the amount of rotation from the initial ray to the terminal ray. The measure of each angle is given as c equal to 140°, A equal to 140°, and B equal to 40°. When added together, the sum of the measure of angles c, A, and B is equal to 320°.
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Complete question:
What is the sum of the measure of angles c=<140 A= <140 B<40
320°
140°
360°
what is the surface area of a rectangular prism that is 12cm by 3cm by 5cm?
In a survey of 24 pupils 1/3 liked football best 1/4 liked basketball,3/8 liked athletics and the rest liked swimming.How many liked swimming?
Answer:
\(24 \times \frac{1}{3} = \frac{24}{3} = 8\)
8 pupils like football
\(24 \times \frac{1}{4} = \frac{24}{4} = 6\)
6 pupils like basketball
\(24 \times \frac{3}{8} = \frac{72}{8} = 9\)
9 pupils like athletics
and how many liked swimming?
8 + 9 + 6 = 23 pupils
24-23 = 1 pupils liked swimming
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distribute 3(-4x-3)
Answer:
-12x-9
Step-by-step explanation:
3 times -4x is -12x
3 times -3 is -9
In an equation the answer is:
-12x-9
Using the box plot of quiz scores below, what percent age of students scored above 85?
Answer:
that would be B.
Step-by-step explanation:
its at the end and it is only 25% of it there is no way it could be 75% or 50% so the best choice would be 25% B
The ratio of boys to girls in a college marching band is 5:6. If there are 121 total students in this band, how many boys are in the band?
Answer:
Step-by-step explanation:
The ratio of boys to girls in the band is 5:6 and there are a total of 121 people.
We can call each bit of the ratio 'parts'.
So, there are a total of 5+6=11 parts in total, and there are a total of 121 people.
Therefore, each part of the ratio is equal to 121 ÷ 11 = 11.
Since there are 5 parts assigned to the number of boys in the band, then the total number of boys in the band is equal to 11 × 5, which is equal to 55 boys.
Which solid has two triangular bases and three lateral faces, each in the shape of a rectangle?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid
Answer:
triangular prism
Step-by-step explanation:
the name of the solid is ussualy the base of the shape
Answer:
A
Step-by-step explanation:
Elizabeth and Nicholas want to buy a new home in Sunset Park. They
need to borrow $270,000. Their bank offers an opportunity for the couple
to buy down the quoted interest rate of 4.8% by 0.125% per point
purchased. Each point will cost 1% of the amount borrowed. What will be
the cost to purchase 1 points?
Based on the above, the cost to purchase 1 point is $2,700.
What is the cost about?In order to know the expense of acquiring 1 point, it is imperative to ascertain the extent by which the interest rate would decrease through the purchase of 1 point.
The purchasing of each point results in a 0.125% reduction of the interest rate, so rate of interest shall be:
4.8% - 0.125%
= 4.675%
So, the cost of 1 point is 1% of the amount borrowed, that is $270,000. hence, the cost of 1 point is:
1% x $270,000
= $2,700
Therefore, the cost to purchase 1 point is $2,700.
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Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?
(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8
If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.
LengthMAC=1/2×360°=180°
mΔAFC=1/2×180°=90°
Circumference angle theorem
AK=8
AC=2
AK=16
Pythagorean theorem
FA²+FC²=AC²
Substitution
FA²+6²=16²
FA²+36=256
FA²=√220
FA=14.8
Therefore the figure that is closest to the length of FA is: 14.8.
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For the function f(x)=−2∣x−3∣+2, describe the transformations (shifting, compress and/or reflecting) of the basic function. Graph the basic function f(x)=∣x∣. Then graph th function f(x)=−2∣x−3∣+2. Find the domain and the range of the given function. Transformations: Shifting Compressing or stretching Reflecting Graph of basic function f(x)=∣x∣ Graph of given function f(x)=−2∣x−3∣+2 Domain of f(x)=−2∣x−3∣+2 Range of f(x)=−2∣x−3∣+2
The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.
The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:
1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.
2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.
3. Compressing or stretching: There is no compression or stretching factor present in this particular function.
Graph of the basic function f(x) = |x|:
The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:
To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.
Domain of f(x) = -2|x - 3| + 2:
The domain of the given function is all real numbers since there are no restrictions on the input values of x.
Range of f(x) = -2|x - 3| + 2:
The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.
Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.
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Can someone turn this into y=ax+b form with your work?
Step-by-step explanation:
given
2x + y = 13
turning to y = ax + b we get
y = - 2x + 13
hope it helps :)❤