Answer:
No
Step-by-step explanation:
4 : 7 = 2 : 3.5, not 2 : 3
Answer:
No
Step-by-step explanation:
4/2=2
2 x 2 = 4
3 x 2 = 6
4:7 and 4:6 is not equal.
7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.
Answer:
y=25,000(0.07)^t
Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.
Please give me an answer it will be very appreciated
Regardless of the type of triangle, all triangles have internal angles that sum up to 180°. An isosceles triangle will have two equal-sized angles.
What is the size of angle triangle?The hypotenuse, or side across from the right angle, has a square whose length is equal to the sum of the squares of the other two sides in a right triangle, according to the Pythagorean theorem. In other words, if the hypotenuse's length is c and the lengths of the other two sides are a and b, then c2 = a2 + b2.
Whatever the type of triangle, all triangles have internal angles which sum to 180°. The two angles of an isosceles triangle will be equal in size. Every angle of an equilateral triangle is 60 degrees. The other two angles in a right-angled triangle will add up to 90° because the triangle has one angle that is 90°.
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Please help will mark Brainly
Answer:
f(x) = - 2x + 4
Step-by-step explanation:
Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.
We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).
So, the new equation would be f(x) = -2x + 4
Step-by-step explanation:
it simply means that g(x) is f(x) just shifted 3 units upwards.
that means nothing else changes, only whatever y result f(x) produces is increased by 3.
so,
g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4
therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.
the slope stays the same (g(x) is simply a parallel line to f(x)).
the y-intercept (the y-value when x = 0) also increases by 3, and is 4.
the x-intercept (the x-value when y = 0) changes :
0 = -2x + 4
2x = 4
x = 2
the x-intercept is 2.
peggy is p years old maggie is 1 year less than 1/4 of peggys age what is maggies age in terms of p
Answer:
1/2m+100
Step-by-step explanation:
solve ((-3) x (10 + (-7))) to the power of 2 divided by 3 - (-9) to the power of 2)
The solution of the given expression will be 9/16.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²
= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²
= 9/16
Hence, The solution of the given expression will be 9/16.
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If angle JKL = 8x -6 and mJML = 25x - 13, find JML
The measure of the arc depends on the outside angle formed by the two
tangents, such that the given equations can be equated to find x.
Response:
\(m\widehat{JML}\) is 262°How can the intersecting secant theorem be used?The given parameters are;
m∠JKL = 8·x - 6
\(m\widehat{JML}\) = 25·x - 13
We have that the external angle formed by two tangents, ∠JKL , is given
by the far arc, near arc theorem or the secant, tangent outside angle
theorem as follows, as follows;
\(\angle JKL = \mathbf{\dfrac{\widehat{JML} - \widehat{JL}}{2}}\)\(\widehat{JML} - \widehat{JL}\) = 2 × \(\mathbf{\angle {JKL}}\)
\(\widehat{JML} + \widehat{JL}\) = 360°
\(\widehat{JML} - \widehat{JL}\) + \(\widehat{JML} + \widehat{JL}\) = 2 × \(\mathbf{\widehat{JML}}\)
\(\widehat{JML} - \widehat{JL}\) + \(\widehat{JML} + \widehat{JL}\) = 2 × \(\angle {JKL}\) + 360°
Which gives;
2 × \(\angle {JKL}\) + 360° = 2 × \(\widehat{JML}\)
2 × (8·x - 6) + 360° = 2 × (25·x - 13)
2 × (8·x - 6) + 360° - 2 × (25·x - 13) = 0
-34·x + 374° = 0
374° = 34·x
\(x = \dfrac{374}{34} = 11\)
\(m\widehat{JML}\) = 25 × 11 - 13 = 262
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De los 12 jugadores del equipo 2/8 son delanteros
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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Determine the measure of angle I in terms of X
The box-and-whisker plots show the points scored
in each sûper Bowl by the AFC and NFC. About how
many points higher is the upper quartile for the
NFC than the AFC?
The upper quartile of NFC is three points higher than the upper quartile of AFC.
A box plot or boxplot is a visual representation of the location, dispersion, and skewness groups of quartiles of numerical data. When lines (referred to as whiskers) extend from the box on a box plot to indicate variability outside the upper and lower quartiles, the plot is also known as a box-and-whisker plot or box-and-whisker diagram. Outliers that stand out from the rest of the dataset can be shown as separate points outside the box's whiskers. Box graphs lack parametric data. To analyze the level and distribution of a set of scores, a box plot is utilized. There are 4 groups formed from the scores. Each group is worth 25%.
The third line on the box corresponds to the upper quartile. The upper quartile is represented by 75% of the scores.
Upper quartile for AFC : 26
Upper quartile for NFC : 23
Difference = 26 - 23 = 3
Therefore, Difference in Upper Quartiles = 3
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9 × 10²
I NEED ANSWERS QUICK
Question is attached
The reasonable domain to plot the function is 0 < d <= 1.4, the y-intercept of the function is 7 and the average rate of change from d = 4 to d = 11 is 0.64
The reasonable domain to plot the function?The function is given as:
f(d) = 7(1.06)^d
The maximum radius is 13.29.
So, we have:
7(1.06)^d = 13.29
Divide both sides by 7
(1.06)^d = 1.90
Take the logarithm of both sides
dlog(1.60) = log(1.90)
Divide both sides by log(1.60)
d = 1.4
Hence, the reasonable domain to plot the function is 0 < d <= 1.4
The y-intercept of the functionThis is when d = 0.
So, we have:
f(0) = 7(1.06)^0
Evaluate
f(0) = 7
Hence, the y-intercept of the function is 7
The average rate of changeFrom d = 4 to d = 11
Calculate f(4) and f(11)
f(4) = 7(1.06)^4 = 8.84
f(11) = 7(1.06)^11 = 13.29
The average rate of change is
Rate = (13.29 - 8.84)/(11 - 4)
Rate = 0.64
Hence, the average rate of change from d = 4 to d = 11 is 0.64
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Herman took out a loan for $8,500 at a rate of 8% for a term of 10 years. How much interest will he pay on the loan?
Answer:
Monthly loan payment is $400.76 for 60 payments at 7.5%.
Step-by-step explanation:
How many whole numbers are between 0 and n+7? n is a whole number.
Answer:
At least 7 since 0 is a whole number the lowest n+7 can be is 0+7= 7 and there is seven numbers in between 0 and seven.
Step-by-step explanation:
The product of two numbers is 155952. If one number is 342, find the other
number.
Answer:
456
Step-by-step explanation:
Product means an answer derived from multiplication. Therefore, if the product is 155952, and one value is 342, then the following equation is true:
342x = 155952, or 342 * x = 155952
Divide 155952 by 342 to get: 456.
Check the work in the equation:
342(456) = 155952
155952 = 155952, which is true, so the answer is 456.
If I helped, please make this answer brainliest! ;)
What is the equation of the line that is parallel to the line whose equation is y=-4/3x+7/3 and also passes through the point (-5,2)
Answer:
\(y=-\frac{4}{3} x-\frac{14}{3}\)
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
\(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Parallel lines will always have the same slope. Therefore, this line will have the same slope as the given line \(y=-\frac{4}{3} x+ \frac{7}{3}\).
Plug in \(-\frac{4}{3}\) as the slope
\(y=-\frac{4}{3} x+b\)
2) Determine the y-intercept (b)
To find the y-intercept, plug the given point (-5,2) into the equation and solve for b.
\(2=-\frac{4}{3}(-5)+b\\2=\frac{20}{3}+b\)
Subtract both sides by \(\frac{20}{3}\)
\(2-\frac{20}{3} = \frac{20}{3}+b-\frac{20}{3}\\\frac{6}{3} -\frac{20}{3}=b\\-\frac{14}{3} = b\)
Therefore, the y-intercept is \(-\frac{14}{3}\).
3) Plug the y-intercept back into our original equation
\(y=-\frac{4}{3} x-\frac{14}{3}\)
I hope this helps!
identify the transformations used to graph g(x)=-1/2(x-3)^3 from its parent function f(x)=x^3
Answer:
The transformations that have been done are reflected vertically -1/2 and moved to the right by 3 units.
Step-by-step explanation:
To find out what transformations differ from your parent graph, look at the a,h, and k values.
A value means if it is being vertically stretched or reflected
In this case, -1/2 is a vertically reflection(upside down).
We also have -3 as our h value. This tells us how many units right or left our graph moves. If the value is negative, it moves to the right. If the value is positive, it moves to the left.
Now you know how to find transformations that differ from the parent graph
Distribute the following: 1.9 (3 + 2) 2.11 ( 4 - 1) 3.12 ( 7 + 7) 4.5 (4 + 8) 5.10 (9 - 5)
1.
9 (3+2)
We have to distribute number 9 in the parenthesis, multiply each term in the parenthesis by 9:
9(3)+9(2)
27+18
45
2.
11(4-1)
11(4)+11(-1)=44-11=33
3.
12(7+7)
12(7)+12(7)
84+84
168
4.
5 (4+8)
5(4)+5(8)
20+40
60
5.
10(9-5)
90-50
40
(4/5)-2 solution
simplify the equation
Step-by-step explanation:
first we will take comman then
\( \frac{4}{5} - \frac{2 \times 5}{5} \)
then 4 - 10
it will be
\( \frac{6}{5} \)
or
\(1 \frac{1}{5} \)
i hope it will help
Answer:
Solution is \(\frac{-6}{5}\)
Step-by-step explanation:
\(\frac{4}{5} - 2\)
Set common denominators
\(\frac{4}{5} - \frac{10}{5}\)
Subtract
\(\frac{4}{5} - \frac{10}{5} = \frac{-6}{5}\)
4) What type of sequence is shown: 1, 2, 4, 7, 10,...
Answer:
Stohr sequence
Step-by-step explanation:
Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence
answer this please 6x^2 - x^2
A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the firm's professionals volunteer an average of more than 21 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals yields a mean of 22 hours and a standard deviation of 2.22 hours.
12 13 14 14 15 15 15 16 16 16 16 16
17 17 17 18 18 18 18 19 19 19 20 21
The sample has a mean of 16.6 hours and a standard deviation of 2.22 credit hours.
At α = 0.05,
I. we reject the null hypothesis.
II. we fail to reject the null hypothesis.
III. the firm shouldn't need to institute an incentive program because the evidence indicates that professional employees volunteer an average of more than 15 hours per month in their local community.
a. II and III
b. I and III
c. II only
d. I only
e. III only
Answer:
B. i and iii
Step-by-step explanation:
There are mistakes in your question. But I solve this problem using the average mean of 15 because that is what is contained in the solution
Hypothesis
H0: u <= 15
H1: u > 15
Mean of x = 16.6
S = 2.22
Test statistic used is t test
16.6 - 15 / 2.22/√24
= 3.531
We find the critical value
Degree of freedom = 24-1 = 23
This is a one tailed test
Critical value = 1.714
We find p value using Ms excel T distribution function
= 0.000894
To make the decision
3.531 > 1.714 so we conclude that
I.) Reject null hypothesis
Iii) conclude an average if more than 15 hours is volunteered per month. So no need to institute the program.
The answer option Is B
find the measures of each interior angle of each regular regular polygons show all work quadrilateral Pentagon documents a gun
We have a formula to find the interior angles sum of a regular polygons, we just need the number of sides
\((n-2)\times180\)where n is the number of sides
We can modify the formula to know the measure of the angles, since they all measure the same, we will divide into the number of angles
So:
\(\frac{(n-2)\times180}{n}\)now
Octagon
\(\begin{gathered} \frac{(8-2)\times180}{8} \\ \frac{6\times180}{8} \\ \frac{1080}{8} \\ =135 \end{gathered}\)nonagon
\(\begin{gathered} \frac{(9-2)\times180}{9} \\ \frac{7\times180}{9} \\ =140 \end{gathered}\)12-gon
\(\begin{gathered} \frac{(12-2)\times180}{12} \\ \frac{10\times180}{12} \\ =150 \end{gathered}\)find the value of help
Please help
Answer:
\(x=29^{\circ}\)
Step-by-step explanation:
Please refer to the picture attached as I labeled the angles.
Given
\(\angle{B}=90^{\circ}\)
\(\angle{ADB}=58^{\circ}\)
\(AD=CD\)
\(\angle{ACD}=\angle{CAD}\) which also equals x in your picture.
We need to use the Exterior Angle Property to evaluate x.
This property states that the exterior angle equals sum of two interior opposite angles.
\(\angle{ACD}+\angle{CAD}=58^{\circ}\)
Substitute x for \(\angle{ACD}\) and \(\angle{CAD}\).
\(x+x=58^{\circ}\)
Add x and x.
\(2x=58^{\circ}\)
\(x=29^{\circ}\)
Answer:
The angle is 32
Step-by-step explanation:
The formula for the sum of interior angles is \((n-2)180\)
We have a triangle inside a triangle.
A triangle has 3 sides.
\((n-2)180\\(3-2)180\\1(180)\\180\)
The picture shows us an angle of 90 and 58.
All 3 angles must add up to 180.
\(180-90-58\)
\(x=32\)
The population of a town is 1400 and it grows at a rate of 4% per year what will the population be in 6 years
Answer:
The population of the town will be 1771.44663 in 6 years.
Here is the calculation:
1400 * (1.04)^6 = 1771.44663
The formula for calculating the population of a town after a certain number of years is:
Population after n years = Initial population * (1 + growth rate)^n
In this case, the initial population is 1400, the growth rate is 4%, and the number of years is 6.
Plugging these values into the formula, we get:
Population after 6 years = 1400 * (1 + 0.04)^6 = 1771.44663
Step-by-step explanation:
A tv bought at Rs 30000 is sold at again of 15%. find the Sp of Tv
Answer:
$25500
Step-by-step explanation:
tv =30000
15% discount= 30000×15÷100
= 4500
selling price = 30000-4500
=25500
you received an invoice for 3,000 with terms of 3/10 1/20 n/30. how much will you have to pay if you the bill in 12 day
The customer will to pay $2,970 in 12 days.
What does 3/10 mean?
3/10 is cash discount term which means that a discount of 3% would be given to the customer if payment for the goods purchased is made within 10 days of purchase.
In this case, 3% is not applicable since the payment was made after 12 days.
What does 1/20 mean?
1/20 is cash discount term which means that a discount of 1% would be given to the customer if payment for the goods purchased is made within 20 days of purchase, the payment is within this range, hence, a 1% discount would be applied to invoice price so as to determine the cash payable
cash payable=$3,000*(1-1%)
cash payable=$3,000*0.99
cash payable=$2,970
What does n/30 mean?
It means a payment is expected latest after 30 days which does not entitle the customer no discount.
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Prove the following: in a group \(G\),\((a^{m})^{n}=a^{mn}\), for all \(a\in G\) and \(m,n\in \mathbb{Z}\)?
we have shown that \($(a^m)^n = a^{mn}$\) for all \($a \in G$\) and \($m, n \in \mathbb{Z}$\).
How to prove the given Problem?To prove that in a group G, \($(a^m)^n = a^{mn}$\) for all \($a \in G$\) and \($m, n \in \mathbb{Z}$\), we need to show that both sides of the equation are equal.
We start by simplifying the left-hand side:
\($(a^m)^n = a^{mn}$\)
This is because raising a to the power of m and then to the power of n is the same as raising a to the power of mn. This property is known as the associative property of exponents.
Next, we need to show that the right-hand side of the equation is also equal to \($a^{mn}$\):
\($a^{mn} = a^{nm}$\)
This is because multiplication is commutative in \($\mathbb{Z}$\), which means that \($mn = nm$\)
Therefore, we have shown that \($(a^m)^n = a^{mn}$\) for all \($a \in G$\) and \($m, n \in \mathbb{Z}$\).
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Figure out the polynomial being multiplied on top and then fill in the missing boxes
In order to factor your quadratic polynomials, the box method, as its name suggests, uses a box. You can divide your quadratic into its factors by using the box, which is essentially a square divided into four equal parts.
What is box method ?Be aware that not all quadratics can be factored. Some just lack relevant components. But if a quadratic polynomial does have components, you can utilize the box approach to simplify the operation.Drawing a square divided into four equal sections or a two-by-two grid is the first step. You then enter your first squared term into the upper left box and your final term into the lower right box. the product of your final term and first term.These new term's contributing components are found. You're seeking for a specific combination of elements that, when added together, give you your middle word. Write these elements in the two remaining empty boxes once you've identified this group of components. Your answer will remain the same no matter which empty box each term is entered into. Find the largest common factor for each row and column to determine the quadratic factors. The factors of your polynomial will then be determined by finding the biggest common factors from your columns and rows, respectively.Employing the Box Method
For our first quadratic, 6x2 - x - 12, let's utilize the box approach to solve it.
The first step is to create a two by two grid, as shown here:
using a box
Following that, we place the first term in the upper left box and the last term in the lower right box.
The Complete Question.
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Help please help pre Algebra
Answer:
none is a solution...the solution.is -3
Which of the following graphs shows the solution set for the inequality below? 3|x + 1| < 9
Step-by-step explanation:
The absolute value function is a well known piecewise function (a function defined by multiple subfunctions) that is described mathematically as
\(f(x) \ = \ |x| \ = \ \left\{\left\begin{array}{ccc}x, \ \text{if} \ x \ \geq \ 0 \\ \\ -x, \ \text{if} \ x \ < \ 0\end{array}\right\}\).
This definition of the absolute function can be explained geometrically to be similar to the straight line \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\) , however, when the value of x is negative, the range of the function remains positive. In other words, the segment of the line \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\) where \(\textbf{\textit{x}} \ < \ 0\) (shown as the orange dotted line), the segment of the line is reflected across the x-axis.
First, we simplify the expression.
\(3\left|x \ + \ 1 \right| \ < \ 9 \\ \\ \\\-\hspace{0.2cm} \left|x \ + \ 1 \right| \ < \ 3\).
We, now, can simply visualise the straight line, \(y \ = \ x \ + \ 1\) , as a line having its y-intercept at the point \((0, \ 1)\) and its x-intercept at the point \((-1, \ 0)\). Then, imagine that the segment of the line where \(x \ < \ 0\) to be reflected along the x-axis, and you get the graph of the absolute function \(y \ = \ \left|x \ + \ 1 \right|\).
Consider the inequality
\(\left|x \ + \ 1 \right| \ < \ 3\),
this statement can actually be conceptualise as the question
\(``\text{For what \textbf{values of \textit{x}} will the absolute function \textbf{be less than 3}}"\).
Algebraically, we can solve this inequality by breaking the function into two different subfunctions (according to the definition above).
Case 1 (when \(x \ \geq \ 0\))\(x \ + \ 1 \ < \ 3 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 3 \ - \ 1 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 2\)
Case 2 (when \(x \ < \ 0\))\(-(x \ + \ 1) \ < \ 3 \\ \\ \\ \-\hspace{0.15cm} -x \ - \ 1 \ < \ 3 \\ \\ \\ \-\hspace{1cm} -x \ < \ 3 \ + \ 1 \\ \\ \\ \-\hspace{1cm} -x \ < \ 4 \\ \\ \\ \-\hspace{1.5cm} x \ > \ -4\)
*remember to flip the inequality sign when multiplying or dividing by
negative numbers on both sides of the statement.
Therefore, the values of x that satisfy this inequality lie within the interval
\(-4 \ < \ x \ < \ 2\).
Similarly, on the real number line, the interval is shown below.
The use of open circles (as in the graph) indicates that the interval highlighted on the number line does not include its boundary value (-4 and 2) since the inequality is expressed as "less than", but not "less than or equal to". Contrastingly, close circles (circles that are coloured) show the inclusivity of the boundary values of the inequality.