The true statement about the interval is that:
B The function is negative and increasing on the interval.How to analyze the intervalThe given interval is -7 ≤ x < -4, the numbers in the interval are
-7, -6, -5,
The numbers are all negative and the number starts from -7 but did not get to -4
since the interval starts from -7 which is a lesser number than -6 and a lesser when compared with -5 we say the interval is increasing
In negative numbers, the larger the number the lesser it has value and and lesser the number the closer it is to zero and the higher the number
Learn more about intervals at:
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Rectangle PQRS is rotated 90° counterclockwise about the origin.
Answer:
Can you please provide more information about the rectangle? Do you have a graph or some points?
Answer:c
Step-by-step explanation:
Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40
B. $720,421.84
C. $37,784.31
D. $556,559.8
Answer:
487,988.40
Step-by-step explanation:
I took the test
Simple Composite figures question. Find the area of the shape.
9514 1404 393
Answer:
453.9 m²
Step-by-step explanation:
It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.
The area of the parallelogram is ...
A = bh
A = (17 m)(6 m) = 102 m²
The area of the equilateral triangle—using the given altitude—is ...
A = 1/2bh
A = 1/2(17 m)(14.7 m) = 124.95 m²
The area of the whole figure is double the sum of these areas, so is ...
A = 2(102 m² +124.95 m²) = 453.9 m²
The area of the shape is 453.9 m².
__
Additional comment
Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.
Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.
Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
A. (0, 5)
B. (6, 10)
C. (10, −10)
D. (3, −3)
Answer: C. (10, -10)
Step-by-step explanation:
Given
1) 2x-3y=50
2) 7x+8y=-10
Multiply both sides of 1) equation by 3.5
1) 3.5(2x-3y)=3.5×50
7x-10.5y=175
2) 7x+8y=-10
Subtract 2) equation from the 1)
(7x-10.5y)-(7x+8y)=175-(-10)
-18.5y=185
y=-10
x=10
(10, -10)
Hope this helps!! :)
Please let me know if you have any questions
A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpole. Find the height of the flagpole
Answer:
the height of the flagpole is 5 meters
Step-by-step explanation:
The computation of the height of the flagpole is given below
Given that
the length of the rope is 13 meters
And, the ground would be 12 meters
Based on the above information, the height of the flagpole is
= √13^2 - √12^2
= √169 - √144
= √25
= 5 meters
hence the height of the flagpole is 5 meters
Please help me with this homework
#1. Use substitution to solve the system of equations
y = 6x
2x + 3y = -20
Solution: (
Answer:
I hope this would help you:)
Mrs. Thomas and Mrs. Maas were folding report cards to send home to parents. The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is :. At the end of the day, Mrs. Maas folded a total of 273 report cards. How many did Mrs. Thomas fold?
Answer: 182 report cards
Step-by-step explanation:
The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is 2:3.
Mrs. Maas folded 273 report cards so the number of report cards folded by Mrs. Johnson can be found using direct proportion. Assume Mrs. Johnson folded x report cards:
2 : 3
x : 273
Cross multiply to get:
3x = 546
x = 546 / 3
x = 182 report cards
Hi people I need help on this question can y’all help me pls!!!!!! Thanks
What is 2 x 3/4?
It must be !!
Answer:
1.5
Step-by-step explanation:
[tex]\frac{2x3}{4}= \frac{6}{4}[/tex]
[tex]\frac{6}{4}[/tex] ÷2=
[tex]\frac{3}{2}[/tex]
Hope this helps :)
Answer:
1 1/2 or 3/2
Step-by-step explanation:
2 x 3/4
6/4
3/2
1 1/2
Mrs. Patterson but a set of building blocks for her son each cube shaped block measured 4 cm on one side what is the volume of six building blocks
Given:
The shape of all building blocks is a cube of side 4 cm.
To find:
The volume of six building blocks.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex]
Where, a is the side length of the cube.
Putting [tex]a=4[/tex], we get
[tex]V=(4)^3[/tex]
[tex]V=64[/tex]
It means the volume of each building block is 64 cubic cm.
Now, the volume of six building blocks is
[tex]Volume=6\times V[/tex]
[tex]Volume=6\times 64[/tex]
[tex]Volume=384[/tex]
Therefore, the volume of six building blocks is 384 cubic cm.
Use the distributive property to solve the equation -2(x+5) =4
A cereal box is 8 1/2
inches long, 2 1/2
inches wide, and 12 inches high. What is the volume of the box?
The volume of the cereal box is blank cubic inches.
Answer:
V = 255
Step-by-step explanation:
Cereal box is a rectangular prism.
Rectangular Prism formula:
V = whl
Given:
w = 2.5
h = 12
l = 8.5
Work:
V = whl
V = (2.5)(12)(8.5)
V = 255
Answer: 1428
Step-by-step explanation: Length of the cereal box = 8 1/2 inches
= 17/2 inches
Width of the cereal box = 3 1/2 inches
= 7/2 inches
Height of the cereal box = 12 inches
Then
Volume of the cereal box = Length * Width * Height
= (17/2) * (7/2) * 12 cubic inches
= 17 * 7 * 12 cubic inches
= 1428 cubic inches
Which of the following is true about the sequence graphed below?
Answer:
Step-by-step explanation:
The sequence is arithmetic because the terms have a common difference.
Hopes this helps:)
While drawing a triangle, Michael decided that he wanted to have the longest side to measure 32 cm. Which pair of side lengths could create the other two sides of his triangle? (7TH GRADE MATH)
Answer:
c
Step-by-step explanation:
Someone help if right will mark brainiest
Answer:
D, 3/5
Step-by-step explanation:
Sin equals opposite over hypotenuse.
The side opposite of Z is 30, the hypotenuse is 50
30/50 simplifies to 3/5
1. Write a similarity statement if the triangles are similar
2. If the traingles are similar, state the triangle similarity postulate (shortcut) you used to prove similarity.
U
36
73
30
15
D
E
Answer:
The triangles are not similar
Step-by-step explanation:
The sides are not proportional
36/73 does not equal to 15/30
The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?
Answer:
The answer is a
Step by step
Multiplication
8×5 = 40
8×3 = 21
21/40
Step-by-step explanation:
determine the value of f(3) for the function f(x)=2x+4
Answer:
f(3)=10
Step-by-step explanation:
got the answer right on a test!
A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant vector.
Answer:
resultant vector = 25.2
Step-by-step explanation:
we apply cosine theorem
yolandas mother was born in 1975 how old is her mother ?
45 OR 46
It depends on which month and day she is born on in 1975.
If you want it from todays current date, she would be 46.
If her birthday is the 11 / 04 / 1975 (eleventh of April) - 31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.
What is the slope of the line below?
1. 1/4
2. −1/4
3. 2
4. −2
Answer:
2
Step-by-step explanation:
Answer:
It is number three{ 3) 2 }I hope that is useful for you :)
A line with a slope of 0 contains the point (3,4) . The point -2,? is also on the line. What is the missing y-coordinate?
The solution is ___________
please don't use files
a person eats 100 bananas in 1 second likelihood
Answer:
Not very likely
Step-by-step explanation:
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PLS HELP! DONT SKIP PLS.
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week. 1. What is the slope of the line?
2. Is the slope positive or negative?
3. How much money did Elena borrow? (Hint: Vertical Intercept)
Answer:
1. -3
2. negative
3. $18
Step-by-step explanation:
1. slope is rise/run so...
-3/1=-3
2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3
3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)
please help im sorry that it's 4 problems
Answer:
the first 1 in standard form is [tex]y=-2x^{2} +8x-8[/tex]
12. [tex]y=2x^{2} +4x-16[/tex]
13. [tex]y=-3x^{2}+6x+9[/tex]
14.[tex]y=2x^{2} +2x-4[/tex]
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
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Maggie is rock climbing. After reaching the summit, she descends 14 feet in 213 1 3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answer:
48 feets
Step-by-step explanation:
Given that:
Maggie descends 14 feets in 2 1/3 minutes
14 feets takes 7/3 minutes
The amount of feets she descends after 8 minutes will be x ;
14 = 7/3
x = 8
Cross multiply
7/3 * x = 14 * 8
7x /3 = 112
7x = 112 * 3
7x = 336
x = 336 / 7
x = 48 feets
A laptop carry bag cost $30. The total cost will include an 8% sales tax. Which expression can be used in calculating the total cost with tax?
Answer:
30+8%=C
Step-by-step explanation:
place the cost of the bag first then add the precent and make it equal to C wich is cost
Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x-2/5
Answer:
y - 3 = (-5/7)(x + 4)
Step-by-step explanation:
The given line, y = 7/5x-2/5, has a slope of 7/5. Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.
Use the point-slope formula to come up with an equation for this new line:
y - 3 = (-5/7)(x + 4)