Answer:
E
Step-by-step explanation:
Since the value of x is 10 and the value of y is -2, we can plug it into the equation for E. -2 = -1/5(10) which makes it -2=-2 which is true.
Step-by-step explanation:
For every 10 units across (0 to 10),
the line decreases by 2 units (0 to -2).
Slope of line
= Rise / Run = (-2) / (10) = -1/5.
Also the y-intercept of the line is 0
as it passes through the origin.
Hence the equation is y = -1/5 x. (E)
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
See Explanation
Step-by-step explanation:
Given
\(\triangle ABC\)
\(\angle A = 10\)
\(\angle B = 145\)
Required
Similar \(\triangle\) to \(\triangle ABC\)
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
\(\triangle DE\ F\)
Where
\(\angle D = 10\)
\(\angle E = 145\)
See that:
\(\angle D = 10\) is similar to \(\angle A = 10\)
\(\angle E = 145\) is similar to \(\angle B = 145\)
This means that:
\(\triangle DE\ F\) is similar to \(\triangle ABC\) by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
what’s the approximate value of tan 1
Answer: tan 1 radians = 1.557, tan 1 degrees = 0.017
what is the solution set?
Answer:
the set of all the solutions of an equation or condition.
what the missing value of -4x-y=24
Answer:
6
Step-by-step explanation:
24/-4
Answer:
its is 6
Step-by-step explanation:
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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Lauren bought a television that cost $805. She plans to make equal payments of $38 each month until the television is paid in full. About how many payments will Lauren make?
A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?
Which inequality is equivalent to the given inequality? -4(x+7)< 3(x-2)
An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)
To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.
Let's simplify the given inequality step by step:
\(-4(x + 7) < 3(x - 2)\)
Expanding both sides:
\(-4x - 28 < 3x - 6\)
Grouping like terms:
\(-4x - 3x < -6 + 28\)
Simplifying:
\(-7x < 22\)
To maintain the direction of the inequality, we need to multiply both sides by -1.
However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.
Therefore, we need to flip the inequality sign:
\(7x > -22\)
Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is
\(7x > -22.\)
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Question is in image please help
I will give Brainliest :)
Answer:
D;the last answer
Step-by-step explanation:
The more negative a fraction or decimal, the lower that actual value.
Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^
Answer: -1 \(\frac{1}{5}\), -1, 0.25, \(\frac{1}{2}\) , 0.75
Step-by-step explanation:
I will turn all of these numbers into numbers that are not fractions since most of the numbers are already this way.
0.75 -> 0.75
-1 -> -1
\(\frac{1}{2}\) -> 0.5
-1 \(\frac{1}{5}\) -> -1.2
0.25 -> 0.25
First of all, the negative numbers are smaller than the positive numbers. Then, we can order them least to greatest by number.
-1.2, -1, 0.25, 0.5, 0.75
Putting the numbers into what they were originally given as gives us this:
-1 \(\frac{1}{5}\), -1, 0.25, \(\frac{1}{2}\) , 0.75
The answer is the last option, -1 \(\frac{1}{5}\), -1, 0.25, \(\frac{1}{2}\) , 0.75.
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data. 8.6, 8.3, 7.6, 6, 7.1, 5.6, 5.1, 6 Compute a 98% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 98 % confidence that the true mean time a student sleeps per night is between and hours. (round to 3 decimal places)
We have 98 % confidence that the true mean time a student sleeps per night is between 6.2928 hours and 7.1832 hours.
Mean = (8.6 + 8.3 + 7.6 + 6 + 7.1 + 5.6 + 5.1 + 6)/ 8 = 6.7875
Standard deviation = √Σ(x - mean)²/n
Σ(x - mean)² = (8.6 - 6.7875)^2 + (8.3 - 6.7875)^2 + (7.6 - 6.7875)^2 + (6 - 6.7875)^2 + (7.1 - 6.7875)^2 + (5.6 - 6.7875)^2 + (5.1 - 6.7875)^2 + (6 - 6.7875)^2
Standard deviation : \(\sqrt{11.82875}/8\)
s = 0.42991
Confidence interval is written in the form,
(Sample mean - margin of error, sample mean + margin of error)
The sample mean, x is the point estimate for the population mean.
Margin of error = z × s/√n
Where
sample standard deviation
number of samples
From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score
In order to use the t distribution, we would determine the degree of freedom, df for the sample.
df = n - 1 = 8 - 1 = 7
Since confidence level = 98% = 0.98, α = 1 - CL = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01
the area to the right of z0.01 is 0.01 and the area to the left of z0.01 is 1 - 0.01 = 0.99
Looking at the t distribution table,
z = 2.998
Margin of error = 2.998 × 0.42/√8
= 0.4452
The lower limit of this confidence interval is
6.738 - 0.4452 = 6.2928
The upper limit of this confidence interval is
6.738 + 0.4452 = 7.1832
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Complete the chart. fraction decimals and percents. 40%=what in fraction form?
Julie manages a franchise restaurant and is analyzing the tips left at her location. From corporate informational material, she knows the overall
population mean is $6.85 with a standard deviation of $1.25. Julie has a sample of 180 tips for her franchise. By the central limit theorem, which
interval can Julie be 95% certain that the sample mean will fall within?
OA. $6.76 and $6.94
O B. $6.57 and $7.13
OC. $6.66 and $7.04
OD. $6.83 and $6.87
Answer:
$6.66 and $7.04
Step-by-step explanation:
I got it right
The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
From the central limit theorem:
σ(x) = σ/√n
The standard deviation σ = $1.25
The sample n = 180
σ(x) = 1.25/√180
σ(x) = 1.25/√1801
σ(x) = 0.0931
The lower limit = 6.85 - 0.0931 = 6.756 = 6.76
The upper limit = 6.85 - 0.0931 = 6.943 = 6.94
Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.
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What is f(-3) for the function f(x) = -5x - 7?
Need this now will mark you brainliest!!!
Answer:
f ( x ) = 8
Step-by-step explanation:
Step 1:
f ( x ) = - 5x - 7 Function
Step 2:
f ( - 3 ) = - 5 ( - 3 ) - 7 Input x
Step 3:
f ( - 3 ) = 15 - 7 Multiply
Answer:
f ( - 3 ) = 8 Subtract
Hope This Helps :)
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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identify the slope intercept 4x+5y=-30
The equation of the line 4x + 5y = -30 in slope intercept form is y = - 4 / 5 x - 6
How to represent equation in slope intercept form?Equation of a line can be represented in slope intercept form as follows;
y = mx + b
where
m = slope of the lineb = y-interceptTherefore, the equation of the line 4x + 5y = -30 can be represented in slope intercept form as follows:
Using the format y = mx + b
4x + 5y = -30
subtract 4x from both sides of the equation
5y = -4x - 30
divide both sides of the equation by 5
y = - 4 / 5 x - 30 / 5
y = - 4 / 5 x - 6
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Use the data{1,1,1,3,3,5,7,7,9,11,13,14} to create a histogram with 5 bins.
The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.
How do you make a histogram with data?A frequency histogram or a relative frequency histogram can be used to depict data if there are several data points and we want to examine how they are distributed.A histogram resembles a bar chart in appearance, but it displays numerical data. The data must be divided into class intervals in order to make a histogram. Then make a tally to display the frequency (or relative frequency) of the data within each interval. The frequency in a given class divided by the overall number of observations is the relative frequency. The bars are the same width as the class interval and the same height as the frequency (or relative frequency).Histogram Illustration
Jessica has been self-weighing every Saturday for the past 30 weeks. She was weighed in pounds, as shown in the table below.135 137 136 137 138 139
140 139 137 140 142 146
148 145 139 140 142 143
144 143 141 139 137 138
139 136 133 134 132 132
Her weight should be a histogram.
Answer
Usually, we want histograms to have intervals between 5 and 20. With a class of width 2, which will offer us 9 intervals given that the data ranges from 132 to 148, it is practical to have.131.5-133.5
133.5-135.5
135.5-137.5
137.5-139.5
139.5-141.5
141.5-143.5
143.5-145.5
145.5-147.5
147.5-149.5
To eliminate any doubt about whether the end point belongs to the interval to its left or to its right, we chose the end points to be.5, which is why. The endpoint convention specification is a substitute. The left end point, for instance, is included by Minitab but the right end point is not.To Learn more About histogram refer to:
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )
x = 7 ± 6
then
x = 7 - 6 = 1
x = 7 + 6 = 13
Hi can someone please help me with this!!!
Find the value of a, m, x
the values of a, m, and x will be √5, 3√5, and 2 respectively.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, A big right triangle has three other right triangles in it.
Since, In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem
For the smallest right triangle,
Hypotenuse = 3
thus,
3² = 2² + a²
a² = 9 - 4
a² = 5
a = √5
For the medium size triangle,
Hypotenuse = 3 + 6 = 9
Other side = 2 + 4 = 6
Base = m
Thus,
9² = 6² + m²
m² = 81 - 36
m² = 45
m = 3√5
For the biggest triangle,
hypotenuse = 3 + 6 + 3 = 12
Height = 2 + 4 + x = 6 + x
base = 5
Since the given triangle is congruent to the smallest triangle,
(6 + x)/ 12 = 2/3
6 +x = 8
x = 2
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Debbie has 340 dimes in three boxes. she says that there are 4 times as many dimes in the first box as in the second and 3 times as many in the third box as in the first how much money in dollars does she have in each box
The amount of money in the first box is 8 dollars
The amount of money in the second box is 2 dollars
The amount of money in the third box is 24 dollars
Solving equationsFrom the question, we are to determine how much money there are in each box
From the given information,
"Debbie has 340 dimes in three boxes"
Let x represents the number of dimes in the first box
y represent the number of dimes in the second box
and z represent the number of dimes in the third box
Thus,
x + y + z = 340
Also, from the given information
"she says that there are 4 times as many dimes in the first box as in the second"
x = 4y
and
"3 times as many in the third box as in the first"
z = 3x
Substitute the second and third equations into the first equation
x + y + z = 340
4y + y + 3x = 340
4y + y + 3(4y) = 340
4y + y + 12y = 340
17y = 340
y = 340/17
y = 20
Substitute the value of y into the second equation
x = 4y
x = 4(20)
x = 80
Substitute the value of x into the third equation
z = 3x
z = 3(80)
z = 240
Thus,
There are 80 dimes in the first box
80 dimes = 8 dollars
There are 20 dimes in the second box
20 dimes = 2 dollars
There are 240 dimes in the third box
240 dimes = 24 dollars
Hence,
The amount of money in the first box is 8 dollars
The amount of money in the second box is 2 dollars
The amount of money in the third box is 24 dollars
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write a recursive formula for the given arithmetic sequence, and then find the specified term.a={4,11,18,...}a_1=Answera_n = a_{n-1} + Answera_8 =Answer
Given:-
\(n=\left\lbrace4,11,18,...\right\rbrace\)To find the value of:-
\(a_1,a_n,a_8\)So a1 is defined as the first term of the given sequence. so we get,
\(a_1=4\)So now we write the formula for the nth term of the sequence, the nth term of the sequence is the addition of the last before term and common difference d. so we get,
\(a_n=a_{n-1}+d\)Also now we find the value of a8. So we get,
\(\begin{gathered} a_n=a_{n-1}+d \\ a_8=a_{8-1}+d \\ a_8=a_7+d_ \end{gathered}\)So now we find the common difference of the given sequence. so we get,
\(\begin{gathered} d=11-4 \\ d=7 \end{gathered}\)So we get the sequence,
\(4,11,18,25,32,39,46,53\)So now we get,
\(a_8=53\)find 6/7 divided 2/9. and put your answer as a reduced fraction.
Answer:
3 6/7
Step-by-step explanation:
divide 6/7 by 2/9 and that equals 3 6/7 and since you cant simplify that the answer stays the same which the answer is 3 6/7
The function f(x)=−3x+2 is defined over the domain −1
The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.
The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.
The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.
Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.
Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.
Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.
Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.
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Please help me understand
Answer:
B
Step-by-step explanation:
remember this :
polonomials can't have a negative exponent, like in A and C, and they can't be in a denominator like in D.
Polynomials are tricky, you can friend me if you need help!
(I am learning them too)
Please tell me if I got it right
Answer:
1/9
Step-by-step explanation:
1/3 / 3 = 1/9
she will run 1/9
jog 1/9
and walk 1/9
to check all of them equal 1/3
1/9+1/9+1/9 = 3/9 = 1/3
Find the domain of this
The domain of the function is x ≥ √25
How to find the domain of the functionAll of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.
The domain of a graph is every value in the graph, from left to right.
checking the given equation
√(x² - 25)
the domain is all values that will not make the value in the square root negative
x² - 25 ≥ 0
x² ≥ 25
x ≥ √25
x ≥ 5
the domain is x ≥ √25
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Which statement is true about the pattern above (Look at picture)
Answer:
C. the next fraction is 243/324
Step-by-step explanation:
In A, we can see that 12/16 does not fall under the sequence.
In B, all the values in the sequence is 0.75.
In C, the next fraction is determined by multiplying numerator and denominator by 3. therefor the correct solution is found.
In D, its wrong and does not match.
Check option C
243/324=0.75Hence option C is correct as all are equal in this sequence
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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