SOLUTION
We want to complete the sequence below.
-30, -22, -14, -6, 2
From the sequence above, we can see that
\(\begin{gathered} -30+8=-22 \\ -22+8=-14 \\ -14+8=-6 \\ -6+8=2\text{ and finally } \\ 2+8=10\text{ } \end{gathered}\)So the common difference is 8.
Hence the answer is 10
lation Rule On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime C prime. Use the figure to identify the correct rule for the translation. (x, y) Right-arrow (x – 3, y + 4) (x, y) Right-arrow (x + 3, y – 4) (x, y) Right-arrow (x – 4, y + 3) (x, y) Right-arrow (x + 4, y – 3)
Answer:(x, y) ⟶ (x + 4, y + 2)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Shown is a circle, centre C, with diameter AE.
PQ is a tangent to the circle, meeting it at E.
A EDQ is isosceles with ED= EQ.
Given that / EAD = 50°, calculate the size
of Z DQE.
Answer:
∠DQE = 65°
Step-by-step explanation:
You want to know the measure of Angle DQE in the given figure.
Right triangleTriangle ADE is inscribed in a semicircle, so is a right triangle. That makes acute angle AED complementary to acute angle EAD. The latter is given as 50°, so ...
∠AED = 90° -50° = 40°
TangentWe know that tangent line QE is perpendicular to diameter AE, so angle AEQ is a right angle. Segment ED divides that right angle into complementary angles, so ...
∠DEA +∠DEQ = 90°
∠DEQ = 90° -∠DEA = 90° -40° = 50°
Isosceles triangleA.pex angle DEQ in isosceles triangle DEQ being 50° means that the base angles QDE and DQE will have measure ...
∠DQE = (180° -50°)/2 = 130°/2
∠DQE = 65°
__
Alternate solution
Let angles DQE and QDE be represented by x. Then the sum of angles in quadrilateral ADQE is 360°:
50° +(90+x)° +x° +90° = 360°
230° +2x = 360° . . . . . . simplify
x = 130°/2 = 65° . . . . . solve for x
15 points! Please help
Answer:
I'm pretty sure it's reflection
Step-by-step explanation:
The triangle to the right is basically a reflection of the first triangle
Rephrase: what is 35% of $120?
3/5 of the students in the band play the flute, and another 1/5 play the clarinet. What fraction of the students in the band plays either the flute or the clarinet?
The fraction of the students in the band that play either the flute or the clarinet is 4/5.
We are given the fraction of the students that play a certain musical instrument.The fraction of the students in the band that play the flute is 3/5.The fraction of the students in the band that play the clarinet is 1/5.We need to find the fraction of the students in the band that play either the flute or the clarinet.The fraction of the students in the band that play either the flute or the clarinet is the sum of the individual fractions of the students in the band that play the flute and the students in the band that play the clarinet.The fraction of the students in the band that play either the flute or the clarinet is 3/5 + 1/5.The fraction of the students in the band that play either the flute or the clarinet is 4/5.To learn more about fractions, visit :
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if ax-cd=a wat is x .......
Answer:
Option A:\( \frac{a + cd}{a} \)
Step-by-step explanation:
ax - cd = a
=> ax = a + cd
\( = > x = \frac{a + cd}{a} \)
Hence,
Option A is the answer.
Answer:
A. \(\frac{a+cd}{a}\)
Step-by-step explanation:
ax-cd=a
Add cd to both sides:
ax=a+cd
Divide both sides by a:
x=\(\frac{a+cd}{a}\)
- Which function is graphed below?
Answer:
√2+x
Step-by-step explanation:
-
Answer:
I'm pretty sure the answer is the function starting with g(x); its a transformation going left 2 units, meaning that you add two to \(\sqrt{x}\). Think off negative as positive and positive as negative.
Step-by-step explanation:
Sorry I'm late! hopefully this helps others as well :)
Which graph represents the function f(x) = 4|x|?
The new graph is still a "V" shaped graph that opens upward and goes through the origin, but it is 4 times as tall as the original graph.
what is graph ?A graph is a picture of data that illustrates the connection between two or more factors. Graphs are frequently used to show data and aid in the understanding of patterns, trends, and relationships between various variables in mathematics, science, economics, and other disciplines. An illustration of the connection between two or more points on a coordinate plane is known as a graph in mathematics. Typically, dots or other symbols are used to symbolize the points, and the lines that connect them show how the points are related to one another. Different graph types are used to depict various relationship types.
given
The "V"-shaped graph that illustrates the function f(x) = 4|x| opens upward and traverses the center.
To understand why, let's first look at the "V"-shaped graph of f(x) = |x|, which has an upward opening and traverses the origin.
When the absolute value of x is multiplied by 4, the graph of the function is vertically extended by a factor of 4.
The new graph is still a "V" shaped graph that opens upward and goes through the origin, but it is 4 times as tall as the original graph.
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Three guests check into a hotel room. The manager says the bill is $30, so each guest pays $10. Later the manager realizes the bill should only have been $25. To rectify this, he gives the bellhop $5 as five one-dollar bills to return to the guests.
On the way to the guests' room to refund the money, the bellhop realizes that he cannot equally divide the five one-dollar bills among the three guests. As the guests aren't aware of the total of the revised bill, the bellhop decides to just give each guest $1 back and keep $2 as a tip for himself, and proceeds to do so.
As each guest got $1 back, each guest only paid $9, bringing the total paid to $27. The bellhop kept $2, which when added to the $27, comes to $29. So if the guests originally handed over $30, what happened to the remaining $1?
Answer:
the manager has it
Step-by-step explanation:
this sounds more like a riddle than a math question
Answer:
This was so confusing and I had to use like 3 sheets of paper
Step-by-step explanation:
$25 + $2 + $1 + $1 + $1 = $30.
So the manager has it, the point is to change the numbers so your brain gets confused.
Represent 2x + 3y = 6 by a graph. Write the coordinates of the point where it meets: (a) x-axis
The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.
To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation, we isolate y to one side:
3y = -2x + 6
y = (-2/3)x + 2
Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).
To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.
Setting y = 0 in the equation, we have:
0 = (-2/3)x + 2
(-2/3)x = -2
x = (-2)(-3/2) = 3
Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.
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What fraction is less than 5/8
Answer:
1/2 is 1 example
Step-by-step explanation:
what
A fraction that is less than 5/8 is 4/8
How to determine the fraction?The fraction is given as:
Fraction = 5/8
A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8
Take for instance, the numerator can be
1 to 4
So, we have;
Smaller fraction = 4/8
Hence, a fraction that is less than 5/8 is 4/8
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P is the midpoint of NO and equidistant from MN and MO. If M=8i+3j and no = 4i-5j Find MP
The position vector of point P, MP, is given by MP = 6i - j.
To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.
The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Let's find the position vector of point P using the given information:
Point N: N = 4i - 5j
Point O: O = 8i + 3j
Using the midpoint formula, we can find the coordinates of point P:
x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i
y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j
Therefore, the position vector of point P, MP, is given by:
MP = 6i - j
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A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
0.02 X 100 = 0.02 X_____=_____
Answer:
0.02 × 100 = 2
Step-by-step explanation:
move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).
0.02 × 100 = 2
please mark brainliest
Grade level and gender Describing the sampling distribution of ħi - Pz PROBLEM: In a very large high school, the junior class has 800 students, 54% of whom are female. The senior class has 700 students, 49% of whom are female. The student council selects a random sample of 40 juniors and a separate random sample of 35 seniors. Let P, - ., be the difference in the sample proportions of females. (a) What is the shape of the sampling distribution of p,, - P..? Why? (b) Find the mean of the sampling distribution. (c) Calculate and interpret the standard deviation of the sampling distribution.
The size of sample are both large enough 40 and 35. The mean and standard deviation of given data is 0.05 and 0.105 respectively.
The shape of the sampling distribution of \(\hat{p}_j - \hat{p}_s\)is approximately normal, according to the Central Limit Theorem. This is because the sample sizes are both large enough (40 and 35, respectively) and the population proportions are unknown but assumed to be independent.
The mean of the sampling distribution is the difference in the population proportions of females, which is 0.54 - 0.49 = 0.05.
The standard deviation of the sampling distribution can be calculated as:
\($\sqrt{\frac{\hat{p}_j(1 - \hat{p}_j)}{n_j} + \frac{\hat{p}_s(1 - \hat{p}_s)}{n_s}}$\)
where \(\hat{p}_j = 0.54$, $n_j = 40$, $\hat{p}_s = 0.49$, and $n_s = 35$.\)Plugging in these values, we get:
\($\sqrt{\frac{0.54(1 - 0.54)}{40} + \frac{0.49(1 - 0.49)}{35}} \approx 0.105$\)
Interpretation: The standard deviation of the sampling distribution tells us how much we can expect the sample proportion difference to vary across different random samples. In this case, we can expect the difference between the sample proportions of females in the junior and senior classes to vary by about 0.105 on average across different samples.
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Jessie made 15 sales calls yesterday. Clay made n calls. If clay made 3 times as many sales calls as jessie, choose the equation thats shows how many sales calls clay made yesterday
Answer:
n = (15)(3) = 45
Step-by-step explanation:
This problem is very simple, all we need to do is take the information we get and put it in equation form.
Jessie made 15 calls, Clay made 3 times as many as her. 15 times 3 is 45. Put in equation format it will look like:
n = (J) * (3)
n is how many calls Clay made, and J is how many calls Jessie made.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
A $3,200.00 principal earns 7% interest, compounded annually. After 3 years, what is the balance in the account? Round to the nearest cent.
A. $1,097,600.00
B. $7,840.28
C. $67,200.00
D. $3,920.14
The balance in the account is $3,920.14
Compound interestThe formula for calculating the compound interest is expressed as
A = P(1 + r)^t
Given
P = $3,200.00 r = 7% = 0.07t = 3 yearsSubstitute
A = 3200(1+0.07)^3
A = 3,920.14
Hence the balance in the account is $3,920.14
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What is 20,392, 220 in word form?
Answer:
hshsjajasnjakaaiz8is
Step-by-step explanation:
hsha
jjsjaja
A cone has a base of 10cm across and a height of 12 cm and has the same volume as a cylinder of the same diameter. what is the cylinder's height?
The height of the cylinder with the same base and volume as the cone is 12 cm.
The volume of a cone and a cylinder of the same base and height can be found using the formula V = πr2h. The radius (r) is half the diameter which, in this case, is 5 cm. Therefore, the equation for the cone is V = \(π(5^2)12\)and the equation for the cylinder is V = π(5^2)h. To find the height of the cylinder, both equations must be set equal to each other, V =\(π(5^2)12\) = \(π(5^2)h\), and h can be isolated by dividing both sides by \(π(5^2)\). This yields h = 12 cm. Thus, the height of the cylinder with the same base and volume as the cone is 12 cm.
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negative 37 over 24 times j minus 17 over 12
negative 37 over 24 times j plus 17 over 12
43 over 24 times j plus 1 over 12
negative 43 over 24 times j plus negative 1 over 12
Simplify the expression.
the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths
negative 37 over 24 times j minus 17 over 12
negative 37 over 24 times j plus 17 over 12
43 over 24 times j plus 1 over 12
negative 43 over 24 times j plus negative 1 over 12
Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?
19.5b + 1.5
−19.5b − 1.5
−19.5b − 6.9
19.5b − 6.9
The expression equivalent to 3(−4.5b − 2.1) − (6b + 0.6) is -19.5b - 6.9.
What are expressions in math?Expressions in mathematics are mathematical assertions that comprise at least two terms that contain numbers, variables, or both, and are connected by an operator in between.Addition, subtraction, multiplication, and division are examples of mathematical operators. To simplify algebraic statements, like terms might be added or removed. Similar terms have the same variable raised to the same power.Given expression:
3(−4.5b − 2.1) − (6b + 0.6)
To simplify the expression open the brackets and multiply the terms,
-13.5b − 6.3 − 6b - 0.6
Now, combine the like terms together and add them,placing a negative sign in front of the terms
-13.5b − 6b - 0.6 - 6.3
-19.5b - 6.9
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Solve the absolute value equation and enter the solution in set notation.
|2x−3|−7=0
Answer:
The solutions are −5 and 1 .
Find the area of a circle with a radius of
7
7start color #11accd, 7, end color #11accd.
Either enter an exact answer in terms of
�
πpi or use
3.14
3.143, point, 14 for
�
πpi and enter your answer as a decimal.
The area of a circle is calculated using the formula:
A = πr^2
Where A is the area and r is the radius of the circle.
In this case, the radius is given as 7. Substituting the value into the formula:
A = π(7)^2
A = π(49)
A = 49π
The exact area of the circle is 49π square units.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
5th grade math. correct answer will be marked brainliest.
Answer:
common denominator = 80
3/80 and 24/30
Step-by-step explanation:
Same thing as last one, you multiply the denominators of each fraction together. 8x10=80 then multiply the fraction with the opposite denominator, 3x10=30 so 3/80 and 3x8=24 so 24/30.
Answer:
common denominator: 40
3/8 = 15/40
3/10 = 12/40
Step-by-step explanation:
8 x 5 = 40 and 10 × 4 = 40. This means 40 is the common denominator.
To get from 8 to 40 you multiply by 5 and so you multiply 3 by 5. This means the numerator is 15.
To get from 10 to 40 you multiply by 4 and so you multiply 3 by 4. This means the numerator is 12.
उक्त समयमा बसले कति दुरी पार गर्दछ ? Abusstarts from
rest. If the acceleration of the bus is 0.5m/s, what will be it's
ve ocity at the end of 2 minutes and what distance will it cover
during that time?
Answer:
The magnitude of the velocity will be 60 m/s.
The distance covered is 3,600 m
Step-by-step explanation:
Constant Acceleration Motion
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
\(v_f=v_o+at\)
The distance traveled by the object is calculated as:
\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\)
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
\(v_f=0+0.5\cdot 120=60 \ m/s\)
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
\(\displaystyle x=0+\frac{0.5\cdot 120^2}{2}\)
\(\displaystyle x=\frac{7,200}{2}\)
x = 3,600 m
The distance covered is 3,600 m
OMG PLEASE I BEG I NEED HELP 5th grade math
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
Select the correct answer. What is the solution to this equation? ( 1 4 ) x + 1 = 32 A. 3 2 B. - 2 C. - 7 2 D.
On simplifying the given equation, the value of x = -7/2.
What does a math equation mean?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Variables, constants, and mathematical operations including addition, subtraction, multiplication, and division are frequently used in it. Equations can be solved to get the values of the variables that make the equation true. Equations are frequently symbolised with the equals sign (=).
Given,
\((1/4) ^{x+1} =32\)
1/4 can be simplified as\((1/2)^{2(x+1)\)
or it can be written as \(2^{-2x - 2}\)
32 can be expressed as 2⁵
⇒ \(2^{(-2x - 2)} = 2^5\)
As base is same, power will be same,
⇒ -2x - 2 = 5
⇒ 2x + 2 = -5
⇒ 2x = -7
⇒ x = -7/2
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Correct question -
What is the solution to this equation? \((1/4) ^{x+1} =32\)
a: 3/2b: 2c: -2d: -7/2
Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.
what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent
Answer:
A = $1311 and 96cents
Step-by-step explanation:
\(A = P(1 + \frac{r}{n})^{nt}\)
P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5
\(A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96\)
QUESTION 4 of 10: It is estimated that 32 patrons will attend an event for every $100 spent in advertising. If tickets cost $75, how much can a
promoter expect to increase sales if he spends $25,000 in advertising?
Answer:
$575000Step-by-step explanation:
Spend on advertising = $25000
32 patrons per $100
Number of patrons:
25000/100×32 = 8000Sales amount:
8000×$75 = $600000Increase in sales excluding advertisement cost:
$600000 - $25000 = $575000Answer:
$600,000
Step-by-step explanation:
$25,000 / 100 then 250 x 32 then 8,000 x 75 to get $600,000