Answer:Please see answer in explanation column
Step-by-step explanation:
A
The sum of a number and 7 is not more than 10
Given answer: x + 7 < 10 , This is false
Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as
x + 7 ≤ 10
B
The product of a number and 4 is at least 20
Given answer: 4X > 20 ---- False
Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as
4X ≥ 20
C
The difference between a 15 and a number is at most 12
Given answer: 15-x>12----False
Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as
15-x ≤ 12
D
The quotient of a number and 8 is greater than or equal to
Given answer 8x <3 --False
Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3
If there are estimated to be 10 ^ 11 galaxies in the known universe and 10 ^ 11 stars in each galaxy, how many stars are estimated to be in the universe?
Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:
number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)
This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11
10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22
So, there are estimated to be 10 ^ 22 stars in the known universe.
Step-by-step explanation:
find the volume of a cake with radius of 8 and height of 5
In ΔWXY, w = 4.8 inches, x = 7.2 inches and y=9.3 inches. Find the measure of ∠W to the nearest degree.
The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
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Which is the graph of f(x) =
4(3)?
y
y
7
6
5
5
4
4
3
3
3
2
2
2
-1
1
+
-3 -2 -14
1
2
3
4
5
8
-3 -2 -1
1
2
3
4
5
8
-3 -2 -2
1
2
3
4
5
6
2
2
ܕܝܚ.
جسمة
Find the area of the square below.
if im correct, its 9. But I want to double check since I haven't done this in a while!
Answer:
its 9 only
Step-by-step explanation:
cuz the formula of area of square is side²
Answer:
Yeah it's 9. Bcs the area of the square is *side × side*
Determine the center and radius of the following circle equation:
x^2 + y^2 + 12x + 16y + 19 = 0
Answer:
radius: 9
center: (-6, -8)
Step-by-step explanation:
First, you may wan to rearrange the equation so it is easier to sole, like:
x^2 + 12x + y^2 + 16y + 19 =0
Next, we need to complete the square. x^2 + 12x is the start of the square of x + 6, which ends in 36, and y^2 + 16y is the start of the square of x + 8, which ends in 64. We can start to write in the squares like:
x^2 + 12x + 36 - 36 + y^2 + 16y + 64 - 64 + 19 = 0
(36 & 64 are subtracted so the equation stays the same)
You can factor getting:
(x + 6)^2 - 36 + (y + 8)^2 - 64 + 19 = 0
You can combine the constants to get -36 - 64 + 19 = -81 and we can add 81 to both sides to get:
(x + 6)^2 + (y + 8)^2 = 81
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
In this case, by substituting, we get the center is (-6, -8) and the radius is 9.
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:
Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.
Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).
Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.
Use the quadratic formula to solve for x:
x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))
= (-1/2) +/- sqrt(5/8)
= (-1/2) +/- sqrt(40/64)
= (-1/2) +/- sqrt(10/16)
= (-1/2) +/- (5/8)
= -1 +/- 5/8
= -1 + 5/8 or -1 - 5/8
= -7/8 or 1/8
Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.
Step-by-step explanation:
Hurry help me rq I need an answer fast its for 45 points
Answer:
A) I’m 100% sure it’s correct!
Step-by-step explanation:
Answer:
A. 7
Step-by-step explanation:
[tex]82 - 75 \\ = 7[/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.
x^2 - 6x + 6 = 0
Answer:
x1=3+√3
x2=3-√3
Step-by-step explanation:
caiso calculator
mode 5 --> 3
then
1 = -6 =6
then hit =
you will get
x1=3+√3
x2=3-√3++99+
A six pack of soda costs $3.00. What is the price per can?
PLEASEEE HELPPPPPPPPPPPPPPPP
MI PAN ZUZUZUZUZUUZU
Answer:
price per can is 0.5
Step-by-step explanation:
Solve: -7(3x - 7) + 21x > 50
Answer: Option 2
Step-by-step explanation:
[tex]-7(3x-7)+21x \geq 50\\\\-21x+49+21x \geq 50 \\\\49\geq 50[/tex]
This is false, so there are no solutions.
Jamie and Hanna are 288 miles apart, traveling towards each other. If Hanna travels 22 mph and Jamie travels 14 mph how long until they meet?
Answer:
It will take them 8 hours to meet
Step-by-step explanation:
If Hanna travels 22 mph towards Jamie and Jamie travels 14 mph towards Hanna that means that the speed with which the close up equals...
22 + 14 = 36 mph
Now divide the distance between them by the speed with which they get closer to each other, and get...
288 miles / 36 mph = 8h
How can you divide polynomials? What are the different methods you can use?Which method do you prefer and why?
You decide to take a hot air balloon ride and remember to take binoculars to look around while you are airborne. As the balloon rises, you use a GPS to determine your height in meters, h, and the distance in kilometers, d, to the farthest object that you can see. The table below shows the two measurements.
Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598
1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.
2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number
3. What type of function best models the data in the table?
4. A building is 16km away. What height does the balloon have to rise for the building to be visible. Round the answer to nearest whole number.
Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex..
Explain trigonometry.Trigonometry is a discipline of mathematics that examines relationships between triangles' degrees and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.
Here,
Angle of elevation to the balloon's peak: = 28°
When the balloon is erect, a right triangle is formed by the horizontal distance to the balloon, l, the height of the balloon, h, and the distance to the top of the balloon, d.
Aside from the hypotenuse
l = The leg next to the provided reference angle
,h = The leg perpendicular to the specified angle,
Trigonometric ratios give us;
Cosx is equal to the product of the hypotenuse and adjacent lengths.
where we obtain;
Cos x equals l/d
=>Cos 28 = 30 m /d
=> d = 30m/Cos 28 ≈ 33.977
Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex.
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alex, beverly and carl live on the same straight road. alex lives 12 miles from beverly and carl 4 mies from berve,y, how far does alex live from carl?
A rectangular playground area is 3,162 meters. The width is 51 meters. Find the length?
Work Shown:
area = length*width
length = area/width
length = 3162/51
length = 62 meters
A family buys a studio apartment for $140,000 They pay a down payment of $35,000
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $7,000 down payment be?
Answer:
a. Their down payment is 25% of the purchase price.
Calculation:
Down payment ÷ Purchase price = Percentage
$35,000 ÷ $140,000 = 0.25 = 25%
b. A $7,000 down payment would be 5% of the purchase price.
Calculation:
Down payment ÷ Purchase price = Percentage
$7,000 ÷ $140,000 = 0.05 = 5%
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!
If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
First step:-
Right triangular prism=1⁵/₆ inches= 11/6 inches
Height of the base=8²/₃ inches = 26/3 inches
Second step:-
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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HELP ME NO LINKS I REALLY NEED HELP
Answer:
Mode
Step-by-step explanation:
If you have an outlier, the best way to measure a set of data is the mode, or the number that occurs the most.
solve the following 4x-3=2x+7
Answer: x=5 (simplified)
Answer:
4x-3=2x+7
4x-2x=7+3
2x=10
2x/2x=10/2
x=5
PLEASE HELPPPP MEEEEEEEE
Answer:
y = 3x + 9
Step-by-step explanation:
The initial equation would be y = mx + b where m is the slope and b is the y-intercept. Then you would use the equation y^2 - y^1 / x^2 - x^1 to get the slope. Substituting the factors in it would be, 15 - 12 / 2 - 1 having a slope of 3. Then seeing as x is 0 y is 9, 9 must be the y-intercept.
how to work out the area of a parallelogram
the base timed by the height
Billy ran 3 miles on his first day of training. The next day he ran 2/3 that distance. How far did he run the second day?
2 in
Ben uses clay to make the rectangular prism to the left. Naomi
uses cardboard to make the triangular prism to the right. Compare
the volumes of the prisms. Use pencil and paper. Describe two
(The figures are not to scale) different methods by which you can compare the volumes.
11 in
5 in
in
18 in
5 in
Which statement best compares the volumes of the two prisms?
O A. Naomi's prism has the greater volume.
OB. Ben's prism has the greater volume.
OC. The prisms have the same volume.
Answer:
A
Step-by-step explanation:
Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Ben uses clay to make the rectangular prism to the left.
Volume of rectangular prism = (length x width x height)
= 11 x 5 x 2
= 110 cubic in
Naomi uses cardboard to make the triangular prism to the right.
The volume of a right triangular prism = ( height× Base Area)
= 4 x 18 x 4
= 288 cubic in
Therefore, Naomi's prism has a greater volume.
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Determine whether the scenario involves independent or dependent events.
A bag contains six red marbles and five blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. The first marble is red and the second marble is blue
Sharon is painting her house. she needs 5 gallons of brown paint for every 7 gallons of white paint. How many gallons of white paint does she need if she already bought 14 gallons of brown paint?
A. 10 gallons. B. 19.6 gallons
C. 16 gallons. D. 25 gallons
Answer:
19.6
Step-by-step explanation:
The ratio of brown paint to white paint is, 5:7 or [tex]\frac{5}{7}[/tex] so if he bought 14 gallons of white paint we need to figure out:
[tex]\frac{5}{7} =\frac{14}{x}[/tex]
which we can as it only has one unknown:
5x=14×7
5x=98
x=19.6
So the answer is 19.6
Answer:
B. 19.6 gallons
Step-by-step explanation:
5 Gallons of Brown ⇒ 7 Gallons of White
14 Gallons of Brown ⇒ x
x = 7 into 14 / 5
x = 98 / 5
x = 19.6
HOPE IT HELPS :)
6p – 9 = 9; then p=?
Answer:
p = 3
Step-by-step explanation:
HELP! aaa 5,6,7,8 bonus
What is the growth factor of the following example? Assume time is measured in the units given.
A city grows by 28% per decade
a. 0.28 per decade c. 128 per decade
b. 28 per decade d. 1.28 per decade
Please select the best answer from the choices provided
Answer:
D. 1.28 per decade
Step-by-step explanation:
I calculated it logically