Step 1; Write out the expression
\(\begin{gathered} 3+7+2=x+2 \\ \text{where the unknown value is represented by x} \end{gathered}\)Step2: simplify the expression
\(\begin{gathered} 12=x+2 \\ \text{collecting like terms} \end{gathered}\)\(\begin{gathered} x=12-2 \\ x=10 \end{gathered}\)Therefore 10 makes the expression true. C is the correct option
is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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find the L.C.M of 4x3 - 9x, 10x2 - 15x
Answer:
20x³ -45x
Step-by-step explanation:
The least common multiple of two expressions is the product of their unique factors.
__
4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression
10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression
The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...
5(4x³ -9x) = 20x³ -45x . . . . least common multiple
Question content area top
Part 1
For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.
An amusement park claims that the mean daily attendence at the park is people.
Mathematical statement μ = 18000 where μ is the mean, Null hypothesis H₀ : μ = 18000, Alternate hypothesis Hₐ : μ ≠ 18000.
What does a mathematical statement mean to you ?A mathematical statement is a meaningful string of words that can be either true or false.
For instance , 3+4=7 is always true. Consequently, it is a true statement.
Similar to this , 3+4=8 is never true Therefore, it is a false statement.
Here the amusement park makes the claim that the mean daily attendence at the park is 18000 people
∴ μ = 18000 is the statement .
What is a null hypothesis ?A null hypothesis is known as statistical hypothesis that proposes that no statistical significance exists in a set of given observations. Hypothesis testing is used to assess the credibility of a hypothesis by using sample data. Sometimes referred to simply as the "null," it is represented as H₀.
∴ Here the null hypothesis is μ = 18000
What do you understand by alternate hypothesis ?The alternative hypothesis is an assertion used in statistical inference experiment. It is contradictory to the null hypothesis and indicated by Ha or H₁ . We can also say that it is simply an alternative to the null. In hypothesis testing, an alternative theory is a statement which a researcher is testing.
For instance : A school principal claims that students in her school score an average of seven out of 10 in exams. The alternate hypothesis is μ ≠ 7.0.
Similarly here in this question alternate hypotesis will be μ ≠ 18000.
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Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
AWSER FOR QUESTION 7 only
prove or disprove NHS~NAB
(100 points)
As, the ratios of the side of both triangles NHS and NAB are found equal they are similar triangles. Thus, NHS ≈ NAB
Explain about the similarity of triangles?Congruent triangles and similar triangles are two distinct but closely related concepts. Similar triangles are any two or more triangles having the identical proportions of their corresponding sides, an equal pair of corresponding angles, and their similar shape.
The Angle-Angle (AA) rule states that two triangles are comparable if two of their angles are equivalent to two of another triangle's angles.The side-angle-side (SAS) rule asserts that two triangles are comparable if their corresponding two sides' ratio and the angle those two sides make are both identical.The Side-Side-Side (SSS) rule states that two triangles are comparable if all three of their corresponding sides have the same proportion.For the given two triangles: NHS and NAB.
The ratios of side are equal in the similar triangles.
NH/HA = NS/SB
12/48 = 15/60
1/4 = 1/4
As, the ratios of the side of both triangles NHS and NAB are found equal they are similar triangles.
Thus, NHS ≈ NAB
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Correct question-
Question 7: Prove or disprove :
NHS ≈ NAB
7,587 divide by 8 I need helpb
(1) y - 11 = 4
(2) y = 2x + 3
Answer:
y = 15 , x = 6
Step-by-step explanation:
you can easily find y from first equation
Move y to the other side of the equation and reverse its sign
so (-11) changes to (+11) and now we have this equation
y = 15
now you must replace 15 instead of y in second equation ,then we have this equation
15 = 2x + 3
now we have to find x
move (+3) to other side of equation and reverse its sign
(+3) changes to (-3)
we have this equation now
15 - 3 = 2x
12 = 2x
x = 12 ÷ 2 = 6
I NEED HELP WITH THIS QUESTION ASAPP!!!
The speed of the ball after one second is given as follows:
9.175 m/s.
How to obtain the speed of the ball?The speed function is the derivative of the position function, which is graphed in this problem.
The position function, in meters, for a projectile's height, is given as follows:
h(t) = -4.9t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.From the graph, the initial height is given as follows:
h(0) = 6.
When t = 4, h = 2.5, hence the initial velocity is obtained as follows:
2.5 = -4.9(4)² + 4v(0) + 6
4v(0) = 2.5 - 5 + 4.9(4)²
4v(0) = 75.9
v(0) = 75.9/4
v(0) = 18.975.
Then the position function is of:
h(t) = -4.9t² + 18.975t + 6.
The velocity function is the derivative of the position, hence:
v(t) = -9.8t + 18.975.
Then the velocity after one second is of:
v(1) = -9.8 + 18.975 = 9.175 m/s.
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please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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andre manages a company that currently has 35 employees and is gaining 4 new employees each month. write an equation to represent the relationship between y, the total number of employees, and x, the number of months it has been
Answer:
\(y=4x+35\)
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need some relevant data to build the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format as:
y=mx+b
Where m and b are constants.
The data of the problem states that Andre has a company with 35 employees. The company acquires 4 new employees each month.
Let's call:
x=number of months
y=total number of employees
Since the company has 4 new employees each month, after x months it will have gained 4x employees, which added to the 35 actually working make the expression of our model:
\(\mathbf{y=4x+35}\)
I WILL BRAINLIST ITS ONLY ONE PROBLEM !!!!!!!!!!!!!!!
Answer:
11/200
Step-by-step explanation:
This is the correct answer boo
81 is what percent of 60
Answer: 135%
Step-by-step explanation:
percents are parts out of the whole
In this case they want to know 81 is what part of 60. 81 is bigger than 60 so you are going to get something bigger than 100%
81/60
= 1.35
= 135% move the decimal point over 2 times or multiply by 100
Please Answer 1 and 2. Giving a lot of points!
Answer:
Option B871.5 feetStep-by-step explanation:
Q1
∠PTQ + ∠QTS = ∠PTS, angle addition postulate
∠PTS is a straight line, therefore equals to 180°
Correct choice is:
B. The angles add to 180°Q2
1 inch → 83 feet ⇒10.5 inches → 10.5*83 feet = 871.5 feetHOWDY;)
1.Option B
2.871.5 feet
Q 1
PTQ + QTS =PTS,angle addition postulate
PTS is a straight line,therefore equals to 180°
Correct choce is:
B angles add to 180Q2
1 inch > 83 feet >
10.5 inches > 10.5*83 feet = 871.5 feetFind the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra, how many boys are in the orchestra? (GIVING BRAINLIEST!!)
Answer:
there are 30 boys in the orchestra
(100 POINTS, I WILL REPORT IF YOU POST A VIRUS LINK) Macadamia nuts cost twice as much as blueberries. Blueberries cost twice as much as peanuts. Select all of the graphs that could represent how much macadamia nuts, blueberries, and peanuts cost for different weights.
Answer:
the top right and bottom right
Step-by-step explanation:
the macadamia nuts cost the most, meaning there doesn't have to be as much as the peanuts to get a high price. And the peanuts are cheaper than the macadamia nuts and the blueberries, meaning that there has to be more of them causing more weight.
Answer: The 2nd one and the 4th one on the right side.
I bought 10 bananas. Each bonana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much did I pay?
Answer:
$ 3.25
Step-by-step explanation:
An item marked at Dhs.840 is sold for Dhs.756. What is the discount %? a 84% b 20% c 10%
Answer:
Dos. 84
Step-by-step explanation:
840 - 756 = 84
What percent is 84 of 849
x/100 = 84/840. (x/%=is/of)
(84 * 100)/840 (Cross multiplication)
= 84
Brainliest if correct
Answer:
(-2,11) (0,3) (2,-5) (4,-13)
Step-by-step explanation:
used desmos calculator
Put the following equation of a line into slope-intercept form, simplifying all fractions 2x-2y=14
Answer: y = x - 7
Slope intercept form: y = mx + b
\(2x-2y=14\\\\-2y=-2x+14\\\\y=\frac{-2x+14}{-2} =\frac{-2(x-7)}{-2} =x-7\)
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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How many modes are in the data set?
1.50, 1.70, 2.30, 2.30, 1.70, 2.00, 1.50, 1.50, 1.70, 2.00, 2.00
0
1
2
3
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
m=2, b=2
y=2x+2
The slope is positive, and the equation is proportional.
Answer:
m = 2 b = -1
equation: y = 2x -1
Proportional and a positive slope
2,000 dividido entre 1,000,000
Answer: 0.002
Step-by-step explanation:
Sorry I don't speak spanish
Answer:
2000/ 1000000 = 0.002
Step-by-step explanation:
Other way around is 1,000,000 dividido entre 2,000 = 1000000 / 2000 = 500 To find into 1000000 you try 10000 first and see there are 5 and 00 left over = 500 However , proof of 2000/ 1000000 = 0.002 = 0.002 * 1000000 = 2000
please help!!
Use the equation e/4 = 12 to solve the following problem.
Maurice and three of his friends have a lemonade stand.
They want to make enough money so that, after splitting
the earnings evenly, each person earns $12. How much
does the lemonade stand need to make?
OA. $124
OB. $30
OC. $12
OD. $48
Answer:
Below
Step-by-step explanation:
Earnings, e, will be divided by 4 friends to equal 12
e/4 = 12 multiply both sides of the equation by 4
4 * e/4 = 12 * 4
e = 48
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(GIVING BRAINLIEST!!)
Two magnets push away from each other and do not attract. What do we know to be true and what type of force is being demonstrated? Write 2 or more sentences to support your answer :)
Answer: it could be a mangintic force.. Because if two magnets a.k.a the north and south pole magnets are brought together they will push each other away instead of sticking.
Hope this helps
Answer:
They are repeling because they are both negitively charged
Step-by-step explanation:
please mark brainelist
What is the product?
(3a2b7)(5a3b8)
O 8a5b15
O 8a6b56
O 15a5b15
O 15a5b56
Option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
We have to find the product of (3a²b⁷)(5a³b⁸)
a and b are the variables in the expression.
We have to find the product.
Let us first multiply the constant terms which are 3 and 5 we get 15
15 (a²b⁷)(a³b⁸)
We know that in a product if the bases are same then the powers will be added
15a⁵b¹⁵
Hence, option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)
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The risk-free rate is 8%, and the expected return on the market is 16%. As an analyst, you are preparing a recommendation report on the following stock:
Stock S
Beta 0.85
Expected dividend next year $1.10
Growth rate (g) 8%
Current Price (p0) $22
Using the SML, would you recommend to buy or sell the stock?
A) Sell, because the required rate is greater than the expected rate.
B) Sell, because the expected rate is greater than the required rate.
C) Buy, because the required rate is greater than the expected rate.
D) Buy, because the expected rate is greater than the required rate.
Correct Option is,
D) Buy, because the expected rate is greater than the required rate.
Now, Based on the information you've provided,
To calculate the required rate of return, we can use the SML formula as;
Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)
Plugging in the numbers, we get:
Required rate of return = 8% + 0.85 x (16% - 8%)
= 14.6%
Since the expected rate of return for Stock S is,
= dividend yield + growth rate
= (1.1 / 22 + 8%),
= 9.4%
which is higher than the required rate of return of 14.6%,
Here, the stock is undervalued and would be a good buy.
Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.
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can someone help me with this and also happy thanksgiving if you celebrate it
My ans is C
24 - 6x + 40 = 34
24+40 - 6x = 34
64 - 6x = 34
6x = 64-34
6x = 30
x = 5 ^^