Answer:
[tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]
Step-by-step explanation:
→ [tex]49-2ax-a^2-x^2[/tex]
→ [tex]-(x^2+a^2+2ax-49)[/tex]
→ [tex]-\left(\left(2xa-49\right)+\left(x^2+a^2\right)\right)[/tex]
→ [tex]-\left(2xa-49+x^2+a^2\right)[/tex]
→ [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]
→ [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]
Half the number of people in a train carriage are adults
and half of the adults are women. If there are 28 women,
how many people are in the carriage altogether?
Answer:
56
Step-by-step explanation:
56÷2=28 28+28=56 So its 56 all together
Consider the following graph of g(x). Write a formula for g(x) that describes the transformations performed on the basic function.
The resulting equation of the given graph will be -|x+1|
Transformation of graphThe parent function of the given graph function is given as:
f(x) = |x|
The given graph shows a reflection over the x-axis and a horizontal translation by 1 unit to the left
Reflection = -|x|
Horizontal shift = -|x+1|
The resulting equation of the given graph will be -|x+1|
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A square represents
1 whole and each triangle represents 2 of a whole. How
would you represent 3 1/2?
Help math math math math
Hi there! I am here to help you!
Please remember that perpendicular lines have slopes that are opposite reciprocals.This means we take a number, flop it over, and change its sign.Here, we have[tex]\displaystyle-\frac{1}{5}[/tex]First, flop it over:[tex]\rm{-5[/tex]Change its sign:5Thus, the slope of the line perpendicular to the given line is 5.Now, what is the equation of the line?We have the slope of the line and a point that it intersects.So, we can write the equation in Point-Slope Form:y-y1=m(x-x1)y-1=5(x-(-5)y-1=5(x+5)y-1=5x+25y=5x+25+1y=5x+26Answer:
y=5x+26
Hope you find it helpful.
~Nature~
Enjoy your day! :)
Answer:
The answer is y=5x+26
Use intercepts to graph the linear equation -4x+3y=-30 .
Answer:
See below
Step-by-step explanation:
Y-intercept
-4x + 3y = -30
-4(0) + 3y = -30
3y = -30
y = -10
(0, -10)
X-intercept
-4x + 3y = -30
-4x + 3(0) = -30
-4x = -30
x = 15/2
x = 7.5
(7.5,0)
After plotting the intercepts, connect them with a line to get your equation
Determine the area of the composite figure.
Answer:
Area = 142.5 square inches
Step-by-step explanation:
So your shape is kind of a little house. The bottom part is a rectangle 9 × 9.5. The area of the rectangle is
Area = length×width
= 9 × 9.5
= 85.5
The "roof" of the little house is a triangle. The area of a triangle is 1/2×base×height
Now, the base of the "roof" is the same as the floor of the house, 9.5 inches.
The height of the whole thing is 21 inches. If we take away the rectangle's wall-height, we'll get the height of the "roof".
Roof height= 21 - 9
= 12 inches
Area_roof
=1/2 × base × height
=1/2 × 9.5 × 12
= 57 square inches
Total area is bottom plus roof (the rectangle and the triangle)
Total Area
= 85.5 + 57
= 142.5 sq in
In a race you walked 9 5/6 miles and ran 1 1/3 miles.
How much further did you walk than run?
Do not reduce your answer to lowest terms.
Answer:
23/6 or 3 5/6
Step-by-step explanation:
Well, here you just have to subtract and think about the question.
Walk = 9 5/6
Run = 1 1/3
9 5/6 - 1 1 /3 = 23/6
23/6 = 3 5/6
A quarter-circle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The
area of the figure is 33.4 square centimeters.
What is the length of the longer side of the rectangle?
Use 3.14 for 71
Enter your answer as decimal in the box.
Answer:
5.21 i took the test
Length of longer side of the rectangle in which a quarter circle is drawn onto the shorter side is 5.12 cm
What is area of a geometric shape?The area of a two dimensional shape is the space enclosed by the boundary of the shape. The area of a rectangle is the product of its length and breadth, the area of a circle is π×(radius)².
Given that, the shorter side of a rectangle is 4cm.
Let the length of the longer side of the rectangle is x.
Then, the area of rectangle is 4x
Also, the sum of area of rectangle and a quarter circle is 33.4cm²
And the radius of quarter circle = shorter side of rectangle
Therefore, area of quarter circle = (1/4)×π(4)²
According to question,
4x + (1/4)π(4)² = 33.4
4x + 4π = 33.4
4x = 33.4 - 4×3.14
4x=20.84
x=5.21
Hence, the longer side of rectangle is 5.21 cm when the shorter side is 4cm and a quarter circle is drawn onto the shorter side of the rectangle.
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Mike wrote down a number on a piece of paper and hid it from his friends. He rounded his number to different places and his friends had to guess what the number was.
First, Mike rounded his number to the nearest ten.
Then, he rounded his number to the nearest hundred.
Last, he rounded his number to the nearest thousand.
All three times, the rounded number had the same value.
Which of these could be his number?
145,998
7,002
4,506
26,991
12,497
Answer: 145,998, 7,000, and 25,991
My guess :))
Step-by-step explanation:
145,998 7,002 4,506 26,991 12,497
First, Mike rounded his number to the nearest ten
146,000 7,000 4,510 27,000 12,500
Then, he rounded his number to the nearest hundred.
146,000 7,000 4,500 27,000 12,500
Last, he rounded his number to the nearest thousand.
146,000 7,000 5,000 27,000 12,000
Agency leadership is very interested in trend analysis. Using the 750 randomly selected vehicles as their sample, data was collected to determine which vehicles currently meet or exceed fuel economy standards and which vehicles currently do not meet fuel economy standards. This information is found in the Meet or Not Meet Current Standards column. Agency leadership asks your team to construct a 95% One-Sample proportion confidence interval for the population proportion of all vehicles that meet current fuel economy standards. Assume that all necessary Central Limit Theorem conditions for a One-Proportion confidence interval have been met. What is the 95% lower limit?
Using the z-distribution, as we are working with a proportion, considering that the estimate is of 90%, the 95% lower limit is of 0.8785.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have that:
There is a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex]. We suppose an estimate of [tex]\pi = 0.9[/tex].The sample size is of n = 750.Hence, the lower bound of the interval will be given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9 - 1.96\sqrt{\frac{0.9(0.1)}{750}} = 0.8785[/tex]
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I NEED HELP ASAP ON THIS!!!
Please help me on 4,5,6, and 7.
Answer:
4. m<3 = 120
5. m<4 = 13
6. m<2 = 70
7. m<1 = 115
Step-by-step explanation:
4. m<3 = 120, this is because it is the same as m<1 due to vertical (congruent) angles
5. m<4 = 13, this is because it is the same as m<2 due to vertical (congruent) angles
6. m<2 = 70, this is because m<2 and m<3 are supplementary (adding up to 180) so we would subtract 180 - 110 (aka m<3) = 70 (aka m<2)
7. m<1 = 115, this is because m<1 and m<4 are supplementary (adding up to 180) so we would subtract 180 - 65 (aka m<4) = 115 (aka m<1)
please do this you will be marked brainliest
Answer:
z ∈ { 12, + ∞ >
Alternate form: z ≥ 12, { z l z ≥ 12 }
Step-by-step explanation:
1- Determine the defined range
2- Factor the expression
3- Simplify the root
4- Move the variable to the left
5- Separate into possible cases
6- Solve
7- Find the intersections
8- Find the union
Answer: Z ≤ 12
The correct answer is "Z is less than or equal to 12", Z ≤ 12.
Step-by-step explanation:
Hope this helps.
Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
of angle C?
Suplementary is angles add up to 180 degrees
C=180-D
C=180-84
C=96 degrees
Hope this helped :)
please help if u can thank you:)
It's number three because the two triangle are congruent (aas),
So, Angle CED would equal ACB, and ACB is 180-70-p, which is also
110-p-Hunter
Help please with this math homework #help
Answer:
128/15 glass of water
Step-by-step explanation:
3/4 hrs = 4/5 of 8 = 32/5
Now,
1 hr = 32/5/3/4
or, 1 hr = 32/5 × 4/3
or, 1 hr = 128/15
does it look correct
Answer:
The box that says 8 is greater than 8 is wrong, you did the ones so it should be 8 is greater than 6 --> 8>6
also I think the right side should be like this ---> 42>22 64>46 88>86 92>29
(16x 10 15) - (7 10 15) simplified
Answer: 7.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/2
Step-by-step explanation:
write the following fractions in word. 3/4, 1/5, 3/4, 1 3/5.. please help me
Answer:
"In word" as in word form?
3/4 = three fourths
1/5 = one fifth
3/4 = three fourths (again?)
1 3/5 = one and three fifths
3 9 90 and 4 2 20 and 5 7 ?
Answer:
3 9 90 =3²+9²=90
4 2 20 =4²+2²=20
5 7 =5²+7²=74
The missing term in the series is 74.
What are Numbers?The mathematical way to display the quantity involved is called Numbers.
The given figure shows a sequence being followed for the third number.
The third number below the triangle is the sum of squares of the two numbers above the triangle.
3² + 9² = 90
4² +2² = 20
5² +7² =25+49 = 74
Therefore, the missing term in the series is 74.
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How to find the area of a triangle when the height is not given ?
Answer:
by using formula a+b+c .....
Answer:
Then use Hero's Formula
Step-by-step explanation:
Name one person in hxh that is attracted to gon yes the seually attracted
Answer:
Hisoka FS no doubt he is most def BRAINLIEST???
Given the function h(x)=-x^2-6x+17, determine the average rate of change of the function over an interval -9
Answer:
5
I hope this helps you:)
Chad has a part-time job at Softy's Ice Cream Shop, where he makes $12.50 per hour. If Chad works 13.5 hours this week, how much money will he earn?
Answer:
He can make $ 168.75 per week.
Step-by-step explanation:
1hr =$ 12.50
For 13.5 hrs,
12.5*13.5
= 168.75
What is 3*ln(5)? Expanded and get the exact answer.
Answer:
ln(125) ≈ 4.828314
Step-by-step explanation:
The relevant log relation is ...
log(a^b) = b·log(a)
__
This means your expression is equivalent to ...
3·ln(5) = ln(5^3) = ln(125) ≈ 4.828314
__
The "exact" answer is ln(125).
1. What is one fourth of 116?
2. The deli made 105 bacon egg and cheese sandwiches and 123 turkey sandwiches.
Once the day was over, the deli workers noticed they sold one half of their sandwiches,
How many sandwiches did they sell?
Charlie is given a box of chocolates.
There are 12 milk chocolates, 8 dark chocolates and 6 white chocolates.
What is the probability that Charlie will pick a white chocolate?
Without replacing the chocolate, what is the probability that the next chocolate Charlie picks will be a milk
chocolate?
Answer:
probability of white chocolate is 0.0016=16 percent 26 percent is the probability of of him picking chocolate
Y=2x
Y=3x-10
What is the solution to the system of equations
Enter your solution as an ordered pair ( , )
[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]
Y=2x. . . . (1)Y=3x-10. . . . (2)put value of y in 1 eq in 2 eq
y= 3x - 102x = 3x - 10x = 10Put value of x in 1 eq
y = 2xy = 2 × 10y = 20Pair formed
(x , y) = (10,20)
The solution to the system of equations will be (x, y) = (10,20).
What is the equation?In a mathematical equation, two expressions—which may or may not include variables or integers—are declared to be equal. The main motivations for the development of mathematics have been attempts to methodically address the underlying issues with equations.
It is given that, the equations are y=2x and y=3x-10.
Y=2x. . . . (1)
Y=3x-10. . . . (2)
put the value of y in 1 eq in 2 eq in order to find the value of x.
y= 3x - 10
2x = 3x - 10
x = 10
Put the value of x in 1 eq in order to get the value of y,
y = 2x
y = 2 × 10
y = 20
Pair formed
(x , y) = (10,20)
Thus, the solution to the system of equations will be (x, y) = (10,20).
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What is the difference between the volumes of the Chunky Chicken Noodle Soup can and the Condensed Chicken Noodle Soup can? Use 3. 14 for pi in all calculations you must show your work what you multiplied to find the volumes of both cans and the difference between the two volumes.
Answer:
1. The formula used to find the volume of a cylinder is v = π * r^2 * h, where r is the radius and h is the height.
2. 3746.648
Step-by-step explanation:
2.
Let's start by finding the volume of the Chunky Chicken Noodle Soup.
When applying the formula, we get an equation: v = 9.8596 x 36 x 15The volume is 5324.184Now, let's find the volume of the Condensed Chicken Noodle Soup.
When applying the formula, we get an equation: v = 9.8596 x 16 x 10The volume is 1577.536Finally, let's subtract the total volumes.
5324.184 - 1577.536The final answer is 3746.6489. Factorise: 1 - (a - b)2
Answer:
-2a+2b+1 is the answer hope this helps
Which expressions are equivalent to 4d+6+2d
(Choice A) 2(3d+3)
(Choice B) 6(d+6)
(Choice C) (3d+3)+(3d+3)
Answer:
(Choice A) 2(3d+3) & (Choice C) (3d+3)+(3d+3)
Step-by-step explanation:
[tex]4D + 6 + 2D = 6D + 6 = 2(3D + 3)[/tex] <--- A is correct
[tex]4D + 6 + 2D = 6D + 6 = 6(D +1)[/tex] < --- B is NOT correct
[tex]4D + 6 + 2D = 6D + 6 = 3d + 3d + 3 + 3 = (3d + 3)+(3d +3)[/tex] by associative and commutative properties
so C is correct
A and C are both correct.
Answer:
Choices A and C
Step-by-step explanation:
Start by simplifying the original expression.
4d+6+2d
Combine like terms
6d+6
Now, we can check each expression to see if it is equivalent to 6d+6
Choice A:
2(3d+3)
Distribute the 2
2(3d)+2(3)
6d+6 --> It is equivalent!
Choice B:
6(d+6)
Distribute the 6
6(d)+6(6)
6d+36 --> No, it is not equivalent
Choice C
(3d+3)+(3d+3)
The parentheses aren't necessary so we can take them out.
3d+3+3d+3
Combine like terms
6d+6 --> It is equivalent!