Answers
Answer:
25x
Step-by-step explanation:
Related Questions
Parallelograms PQRS and QRTU are standing on
the same base QR and between the same parallel
lines PT and QR. Prove that the area of
parallelograms PQRS and QRTU are equal.
Answers
Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.
To prove that the area of parallelograms PQRS and QRTU are equal,
Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.
Parallelograms PQRS and QRTU
Same base QR
Between the same parallel lines PT and QR
Proof,
Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.
Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.
Let's call this height 'h'.
The area of a parallelogram is given by the formula:
Area = base × height.
For PQRS, its area would be: Area of PQRS = QR × h.
For QRTU, its area would be: Area of QRTU = QR × h.
Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.
Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.
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help please I would appreciate it thank u
Answers
Answer:
radius = 7.5 cm
Step-by-step explanation:
Since M is the midpoint of the chord AB then OM is perpendicular to AB
Using Pythagoras' identity in right triangle OMB with hypotenuse OB, the radius of the circle, then
OB² = OM² + MB² = 4.5² + 6² = 20.25 + 36 = 56.25 ( take square root of both sides )
OB = radius = \(\sqrt{56.25}\) = 7.5
Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
receive? (SHOW WORKING)
Answers
Answer:
Mary- $18
Jane- $30
Step-by-step explanation:
Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.
x(3+5) = $48
3x + 5x = $48
8x = $48
8x/8 = $48/8
x = $6
3($6):5($6) = $18:$30
Answer:
Mary = $18
Jane = $30
Step-by-step explanation:
The first thing you need to do is find out how much each part is. To do that you need to add each side of the ratio together (3 + 5 = 8). THen you set up an equation showing the 8 parts * x = 48 and solve for x.
8x = 48
x = 6 <-- Value of each part
Now you multiply the 6 by the number on each side of the ratio,
Mary = 3 * 6 = 18
Jane = 5 * 6 = 30
The above is your answer.
help much? brainliest if i can
Answers
Answer:
Option 1:\(y = -\frac{2}{3}x+5\) is the correct answer.
Step-by-step explanation:
The slope-intercept form of a line is given as:
\(y = mx+b\)
Here m is the slope and b is the y-intercept
m is calculated using the formula
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Given points are:
\((x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)\)
Putting the values in the formula
\(m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}\)
Putting m=-2/3 in equation
\(y= -\frac{2}{3}x+b\)
Putting (9,-1) in equation
\(-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5\)
Putting the value of b
\(y = -\frac{2}{3}x+5\)
Hence,
Option 1:\(y = -\frac{2}{3}x+5\) is the correct answer.
7. A 10 foot ladder slides down a wall at a rate of 3 ft/sec. At what rate is the (acute) angle between the ladder and the wall changing when the foot of the ladder is 5 feet from the wall? How fast is the base of the ladder sliding away from the wall at this instant?
Answers
The rate at which the angle between the ladder and the wall changes is 30√75 ft/sec and the rate at which the base of the ladder slides away from the wall at this instant is 13.2 ft/sec.
When a 10-foot ladder slides down a wall at a rate of 3 ft/sec, the rate at which the (acute) angle between the ladder and the wall changes when the foot of the ladder is 5 feet from the wall and the rate at which the base of the ladder slides away from the wall are required to be calculated.
Let's mark the length of the ladder as ‘l’ and the distance of the ladder from the wall as ‘x’.If the ladder has slid x feet down the wall at time t, the triangle formed by the ladder, the wall, and the ground is such that l² = x² + y². The angle is θ, then sin θ = y/l, cos θ = x/l, and tan θ = y/x.
Thus, we have the following equation:(l)² = (x)² + (y)²Differentiate with respect to t.2(l)(dl/dt) = 2(x)(dx/dt) + 2(y)(dy/dt)
Solve for dy/dt when x = 5ft and dx/dt = 3 ft/sec.dy/dt = (l/x)(dx/dt)√[l² - x²]dy/dt = (10/5)(3)√[10² - 5²]dy/dt = 30√75 ft/sec
Now, let's differentiate the equation l² = x² + y² with respect to time:2l(dl/dt) = 2x(dx/dt) + 2y(dy/dt)
We have already calculated the value of dy/dt from the previous step. Substituting, l = 10, x = 5 and dx/dt = 3, we get: 20(dl/dt) = 10(3) + 2(5)(30√75)dl/dt = 13.2 ft/sec
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the product of two numbers is 5070 and their LCM is 390 find the GCD of two numbers
Answers
\(\\ \sf\Rrightarrow Product=LCM(GCD)\)
\(\\ \sf\Rrightarrow 5070=390GCD\)
\(\\ \sf\Rrightarrow GCD=5070/390\)
\(\\ \sf\Rrightarrow GCD=13\)
Key words:-
LCM=Lowest common multipleGCD=Greatest common divisorNeed help??????!!!!!!!!!
Answers
Answer:
The answer for question 27 is a confusing one, but the one for question 28 is B! Hope this helps.
Step-by-step explanation:
A secretary can type 960 words in 6minutes how many words can she type in 1 hour
Answers
Answer:
9600 words in an hour.
Step-by-step explanation:
There are sixty minutes in an hour.
60/6=10
multiply 960 by 10
960*10=9600
The secretary can type 9600 words in 1 hour.
960 * 6 = 160
160 x 60 = 9600
Which of the following are solutions to the quadratic equation below?\( {x}^{2} + 8x = 9\)Check all that apply.
![Which of the following are solutions to the quadratic equation below?[tex] {x}^{2} + 8x = 9[/tex]Check](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/JxDnsIDg3BoMiMgwI5sDBo56Xiuol3rn.png)
Answers
Given:
There are given the equation:
\(x^2+8x=9\)
Explanation:
According to the question:
We need to find the solution to the given quadratic.
Then,
To find the solution, we will use the quadratic equation formula.
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)Then,
From the equation:
\(x^2+8x-9=0\)Where,
\(a=1,b=8,c=-9\)Then,
Put all the value into the formula:
\(\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-8\pm\sqrt{(8)^2-4\times1\times(-9)}}{2\times1} \\ x=\frac{-8\pm\sqrt{64+36}}{2} \end{gathered}\)Then,
\(\begin{gathered} x=\frac{-8\pm\sqrt{64+36}}{2} \\ x=\frac{-8\pm\sqrt{100}}{2} \\ x=\frac{-8\pm10}{2} \end{gathered}\)Then,
\(\begin{gathered} x=\frac{-8\pm10}{2} \\ x=-\frac{8+10}{2},\frac{-8-10}{2} \\ x=\frac{2}{2},\frac{-18}{2} \\ x=1,-9 \end{gathered}\)Therefore, the solution of the given quadratic equation:
\(x=1,-9\)Final answer:
Hence, the correct options are B and E.
How does the graph of y √ x 2 compare to the graph of the parent square root function?
Answers
Answer:
to move te function up z units, add zto the whole equation
from
y=sqrt(x) to
y=sqrt(x)+2
parenth function moved up 2 units
my hands are cold so I don't type well
Step-by-step explanation:
How many fluid ounces are in 12 1/4 cups
Answers
A hardware salesman measures the mass of a box containing 1000 washers. The mass is 1.2314 kg. What is the mass of a single washer in milligrams? Wr your answer as a decimal,
Answers
The mass of a single washer can be calculated by dividing the total mass of the box (1.2314 kg) by the number of washers (1000). The mass of a single washer is expressed in milligrams.
To calculate the mass of a single washer, we divide the total mass of the box (1.2314 kg) by the number of washers (1000).
1.2314 kg divided by 1000 washers equals 0.0012314 kg per washer.
To convert the mass from kilograms to milligrams, we need to multiply by the appropriate conversion factor.
1 kg is equal to 1,000,000 milligrams (mg).
So, multiplying 0.0012314 kg by 1,000,000 gives us 1231.4 mg.
Therefore, the mass of a single washer is 1231.4 milligrams (mg).
Note: In scientific notation, this would be written as 1.2314 x 10^3 mg, where the exponent of 3 represents the milli prefix.
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last year, 20 percent of all teenagers purchased a new iphone. this year, a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iphone. to test whether the percentage has decreased, the p-value is:
Answers
The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.
The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.
The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.
Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.
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Help plz answer the question
Answers
Answer:
C
Step-by-step explanation:
√ 50x²y³
√25* 2 x²y³
5xy√2y
i need help with this
Answers
Answer:
Perimeter of FGH = 192
Step-by-step explanation:
42 / 28 = 1.5
50 x 1.5 = 75
44 x 1.5 = 66
34 x 1.5 = 51
75 + 66 + 51 = 192
A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles.
Complete the table.
Time (Hours
Distance (Miles)
Speed (Miles Per Hour)
1
1.5
2
2.5
t
Answers
PLEASE HELP!!!
What does it mean to say that a data point has a residual of -1?
Answers
Answer: Option C, 1 unit bellow.
Step-by-step explanation:
The residual of a data point is equal to the vertical distance between the point and the regression line
If the data point is above the line, the residual is positive
if the data point is below the line, the residual is negative.
So here we have a negative residual equal to -1
This would mean that our point is 1 unit below the regression line.
Then the correct option is C.
Answer:
The answer is 1 unit below.
Step-by-step explanation:
This is because the residual is the difference between the actual value of a dependent variable & the value predicted by a regression equation. So if the data point has a residual of -1, that means that the data point lies 1 unit below the regression line.
Factorise fully the following:
a) x² + 3x
b) 2x? - 8x
c) 6x + 9x
d) 12x - 4x?
Answers
Answer:
a) \(x(x+3)\)
b) \(2x(x-8)\)
c) \(3x(2+3x^{2})\)
d) \(4x^{2} (3x-1)\)
Step-by-step explanation:
a) \(x^{2} +3x=x(x+3)\)
b) \(2x^{2} -8x=2x(x-8)\)
c) \(6x+9x^{3} =3x(2+3x^{2})\)
d) \(12x^{3} -4x^{2} =4x^{2} (3x-1)\)
Factors of the following algebraic expression are
a. Factors of x² + 3x are x and x+3
b. Factors of 2x² -8x are 2, x and ( x-4)
c. Factors of 6x +9x³ are 3, x and (2 + 3x²)
d. Factors of 12x³ - 4x² are 4, x, x and (3x -41)
What is factor of an algebraic expression?The factor of an given algebraic expressions are one or more numbers or linear or other expressions that multiply to form the given algebraic expression and cannot be broken down further into simpler expressions.
For finding factors of an algebraic expression we can simply take out common expressions from all the terms of the expression and try to simplify it.
a. x² + 3x = x( x+3), (taking x common from both terms)
b. 2x² -8x = 2x ( x-4) (taking 2x common from both terms)
c. 6x +9x³ = 3x (2 + 3x²) ( taking 3x common from both terms)
d.12x³ - 4x² = 4x× x × (3x -41) ( taking 4x² common from both terms)
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What is the x-intercept for the equation? 3x + 6y = 24
-4
4.
8
-8
Answers
Answer:8
Step-by-step explanation: plug in 0 for y then solve
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Answers
Answer:
3x+1
Step-by-step explanation:
(2x+x+3+6x)/3
9x+3/3
3x+1
The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.
This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.
Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.
In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.
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Need Answer ASAP will give branliest to the first right answer
The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.
Have Rabbits
Do Not Have Rabbits
Total
Have Dogs
22
18
40
Do Not Have Dogs
23
27
50
Total
45
45
90
How many more students have rabbits than dogs?
1
4
5
10
Answers
Oliver is trying to keep up with the current amount of money in his bank account he uses positive numbers to show his the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25
Answers
Answer: c
Step-by-step explanation:
The expression that best represents Oliver making 8 withdraws $25 should be considered as 8(-25).
Calculation of the expression:Since the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25
So here the withdrawn amount should be $25
And, the earning is $8
So here the expression be like 8(-25).
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Identify all the composite numbers between 1 and 10.
a.
2, 4, 5, 8, 9
c.
2, 4, 6, 8, 9
b.
2, 4, 6, 7, 9
d.
none of the above
Answers
Answer:
D because 2 cant be a composite #
What is the x-intercept?
Answers
Answer:
The x-intercept is 2
Step-by-step explanation:
have a good day
Barbara spent x dollars at the video store. If Rachel spent 4 times the amount Barbara spent at the video store, how much did they spend together, in dollars
Answers
Answer:
4*x
Step-by-step explanation:
Rachel spent 4 times more, so you multiply.
You need to multiply 4 and x.
The expression would be 4*x
Charlotte has been working for her company for x years. The number of years Travis has been working for the same company, y years, is exactly 3 years longer than Charlotte.
What is the range of the relationship between x and y?
Answers
The range of the relationship between x and y is y>3
What is meant by range ?The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.
The easiest way to assess data variability is range, which is the difference between the highest and smallest value. Only the two extreme data values are used to establish the range.
The clue is where the problems specifies "3 years longer than", that refers to a restriction of more than which it's represented with the inequality symbol >.
Therefore The range of the relationship between x and y is y>3
The complete question is : Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?
A- y>0
B- y>3
C. y<3
D. 0
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What are all the zeros of the polynomial function
\(f(x)=3x^{3} -5x^{2} -10x-6\)
Answers
The zeros of the polynomial function f(x) are 3, -[(2 -i√2) / 3] and -[(2 + i√2) / 3]
What is the zero of the functionTo find the zeros of the polynomial function f(x), we need to find the values of x for which f(x) = 0.
We can start by factoring out a common factor of 3x^2 from the polynomial:
f(x) = 3x^3 - 5x^2 - 10x - 6
f(x) = 3x^2(x - 5/3) - 2(5x + 3)
Now, we can set each factor equal to zero and solve for x:
3x^2(x - 5/3) - 2(5x + 3) = 0
3x^3 - 5x^2 - 10x - 6 = 0
x = 3, -[(2 -i√2) / 3], -[(2 + i√2) / 3]
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
Answers
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
How to carry out transformation reflection?
From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.
After reflection, across the x-axis, we see that it was translated down by 2 units.
The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
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Which variable expression represents the following word phrase?
one-half the sum of a number and three
Answers
Answer:
The correct choice should be B.
Tell me if I'm wrong.
Ray purchased a jacket with 60% discount, for $240. how would you calculate price before a sale?
Answers
240/ 60% = A
Answer:
$400
Step-by-step explanation:
We will make this question into a function by setting 'p' as the initial price before sale and converting the percent to a decimal (60*0.01).
Because the final price was calculated by multiplying the initial price by 60%, we can represent that with the function:
0.6p=240
All we need to do now is isolate p by dividing out 0.6.
p=400
Giving us an answer of $400 (that's an expensive jacket )