Answer:
-7x<21
i think, I'm not fully sure what it's asking.
Step-by-step explanation:
Answer:
x ≥ - 6
Step-by-step explanation:
Given
- 3 - 4x ≤ 21 ( add 3 to both sides )
- 4x ≤ 24
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x ≥ - 6
Which expression represents 11 less than the sum of y and 13? Will choose brainliest, plz include explanation.
Answer:
D
Step-by-step explanation:
A sum is adding so first you add (y+13)
then its says to subtract 11 so the correct expression is (y+13) - 11
Answer:
D (y+13) -11
Step-by-step explanation:
Less than means subtract from so we need the second part first
sum of y and 13
(y+13)
Less than means subtract from
(y+13) -11
Find the area of the rectangle.
square feet:
Answer:
4x9=36
Step-by-step explanation:
36
Answer:
36 sq ft.
Step-by-step explanation:
To solve for the area of a rectangle, all you need to do is multiply the length by the width which gives you:
4×9= 36 sq ft.
Find the area of the trapezoid shown below and choose the appropriate result.
Answer:
13.5 in²
Step-by-step explanation:
We can use the area formula for a trapezoid.
Area = [tex]\frac{1}{2}(b_{1}+b_{2} )h[/tex]
To solve, we find and plug in the variables. According to the trapezoid, we know
h (height) = 3 in
[tex]b_{1}[/tex] (base 1) = 4in
[tex]b_{2}[/tex] (base 2) = 5in
1/2(4 + 5) ·3 = 13.5 in²
The area of a trapezium is 13.5 in².
Option B is the correct answer.
We have,
The area of a trapezium.
= 1/2 x (sum of the parallel sides) x height
Now,
height = 3 in
Parallel sides = 5 in and 4 in
Now,
Substituting the values.
The area of a trapezium.
= 1/2 x (sum of the parallel sides) x height
= 1/2 x (5 + 4) x 3
= 1/2 x 9 x 3
= 27/2
= 13.5 in²
Thus,
The area of a trapezium is 13.5 in².
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Which expression can be used to find the surface area of the following rectangular prism?
O 4+4+8+8+1+1
O 8+8+4+4+2+2
O 8+8+8+8
O 2+4
Answer:
8+8+4+4+2+2
Step-by-step explanation:
4×2=8
4×1=4
1×2=2
What is the radius of the circle with Center: (8, 2), Point on Circle: (14,-1)? 2 decimal places
Answer:
r ≈ 6.71
Step-by-step explanation:
The distance from the centre of the circle to a point on it is the radius.
Calculate the radius r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (14, - 1)
r = [tex]\sqrt{(14-8)^2+(-1-2)^2}[/tex]
= [tex]\sqrt{6^2+(-3)^2}[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex] ≈ 6.71 ( to 2 dec. places )
Final answer:
The radius of the circle with the center at (8, 2) and a point on the circle at (14, -1) is 6.71 units, after rounding to two decimal places.
Explanation:
To find the radius of a circle with a given center and point on the circle, we need to calculate the distance between these two points. This distance represents the radius. The center of the circle is at (8, 2) and the point on the circle is at (14, -1).
Using the distance formula, which is d = √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x_1, y_1) is the first point and (x_2, y_2) is the second point:
[tex]d = √((14 - 8)^2 + (-1 - 2)^2) = √((6)^2 + (-3)^2) = √(36 + 9) = √45[/tex]
When using a calculator that has an eight-digit output, √45 is approximately 6.70820393. However, if we are to report the answer with only two decimal places, we get the radius as 6.71 units.
It's important to note that significant figures play a role in determining the precision of our result. Even though the calculator can give us many decimal places, we often round the number to either preserve significant figures or because the extra precision is not materially important for estimation purposes. In this case, the radius to two decimal places is 6.71, despite the calculator's eight-digit output.
What is the simplified form of the square root of 45?
A. the square root of 5
B. the square root of 9 x 5
C. 3 and the square root of 5
D. 5 and the square root of 3
Answer:
3sqrt(5)
Step-by-step explanation:
sqrt(45)
sqrt(9*5)
We know the sqrt(ab) = sqrt(a) sqrt(b)
sqrt(9) sqrt(5)
3sqrt(5)
Answer:
C. 3 and the square root of 5
Step-by-step explanation:
45/9=5
Square root of 9 is 3
Left over: rad 5
3 and the square root of 5
For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches.
The pyramid is 12 inches tall.
What is the surface area of the model?
240
260
340
360
An angle whose measure is 40° is in standard position. In which quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV
Answer:
Quadrant 1
Step-by-step explanation:
The terminal side of the angle whose measure is 40° falls in quadrant I.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To determine the quadrant in which the terminal side of an angle falls, we need to look at the direction in which the terminal side moves from the origin.
If the terminal side moves to the right of the origin, it is in quadrant I or IV; if it moves to the left of the origin, it is in quadrant II or III.
The angle whose measure is 40° starts on the positive x-axis and moves in a counterclockwise direction.
Since 40° is less than 90° the angle will move less than 90° counterclockwise from the x-axis.
The terminal side of the angle will fall in quadrant I, which is the quadrant that lies to the right of the positive x-axis and above the positive y-axis.
Hence, the terminal side of the angle whose measure is 40° falls in quadrant I.
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pls helppp this is so urgent:
The 7th graders at DEMS are going to help set the playground for the kindergartners at the new school. School Safety regulations require that the sand underneath the swings be at least 15 inches deep. The sand under both swing sets was only 12 inches deep when they started.
The rectangular area under the small swing set measures 9 feet by 12 feet and required 40 bags of sand to increase the depth by 3 inches.
How many bags of sand will the students need to cover the rectangular area under the large swing set if it is 1.5 times as long and 1.5 times as wide as the area under the small swing sets?
Answer:
90 bags of sand
Step-by-step explanation:
9 feet × 1.5 = 13.5
12 feet × 1.5 = 18
Large pit area= 13.5 × 18 = 243ft squared
The small pit area=9 × 12 = 108ft squared
243 / 108 = 2.25 times larger
This means the large pit needs 2.25 times more sand.
40 × 2.25 = 90 bags of sand
Answer 114.8
A triangle has side lengths 1.5 cm, 2 cm, and 3 cm. Is this a right triangle? Explain.
Answer:
No
Step-by-step explanation:
To figure out whether a triangle is a right triangle using only the side lengths, you can use the Pythagorean theorem:
a^2 + b^2 = c^2
1.5^2 + 2^2 = 3^2
2.25 + 4 = 9
Since this equation isn't true, these numbers cannot be the side lengths of a right triangle.
After applying the Pythagorean theorem to the triangle with sides 1.5 cm, 2 cm, and 3 cm, it is determined that the triangle is not a right triangle because the squares of the shorter sides do not sum up to the square of the longest side.
Explanation:To determine if a triangle with sides measuring 1.5 cm, 2 cm, and 3 cm is a right triangle, we can apply the Pythagorean theorem. The theorem states that for any right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In mathematical terms, this is expressed as c² = a² + b².
Let's check if our triangle meets this condition:
Assume the longest side, 3 cm, is the hypotenuse (c).Square the lengths of the shorter sides: 1.5² + 2² = 2.25 + 4 = 6.25 cm².Square the length of the assumed hypotenuse: 3² = 9 cm².Since 6.25 cm² does not equal 9 cm², the sides do not satisfy the Pythagorean theorem, so the triangle is not a right triangle.
Which figure has a greater volume, and how much greater is it?
361
Figure 1
Figure 2
The volume of figure 1 is 97213 greater than the volume of figure 2.
The volume of figure 2 is 9721? greater than the volume of figure 1.
The volume of figure 1 is 1.134 ft greater than the volume of figure 2.
The volume of figure 2 is 1.134f greater than the volume of figure 1.
Mark this and retum
Save and Exit
TER
Submit
Answer:
the last one
Step-by-step explanation:
Please help with steps
Answer:
what is the question
Step-by-step explanation:
Which fraction shows the number of hours Amy's dog slept sleeps for every 2 hours in the day? Complete the Fraction
Answer: 1/2
Step-by-step explanation:12 is divided by 2
fraction that shows the number of hours Amy's dog sleeps is 1/2.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator and the bottom part is numerator.
Given is Amy's dog who sleeps for every 2 hours in the day.
Since Amy's dog sleep for 2 hours a day, then in a complete day he would sleep for 12 hours out of 24 hours. So, we can write the fraction as-
12/24 = 1/2
Therefore, fraction that shows the number of hours Amy's dog sleeps is 1/2.
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A worker makes a ramp by placing one end of an 8-foot-long board on the bed of a pickup truck and the other end on the ground. The bed of the truck is 3 feet above
the ground. Which expression could be used to determine the angle between the board and the ground?
The expression sin^-1(3/8) can be used to determine the angle between the board and the ground in this scenario. This utilizes the sine function in trigonometry, which involves the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right-angle triangle.
Explanation:The subject of this question is Mathematics, specifically trigonometry. In such a problem, we can utilize the concept of trigonometric functions, in this case is the sine function. The sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse. In this scenario, the board acts as the hypotenuse, the height of the truck is the side opposite the angle, and the angle we're trying to determine is between the ground (which we can consider as the adjacent side) and the board.
So, to determine the angle, we would use the expression: sin^-1(opposite/hypotenuse) = sin^-1(3/8).
The sine inverse or 'sin^-1' is used to find the angle when we know the sine value. Also, note that the answer will be in radians and can be converted into degrees by multiplying by 180/pi if necessary.
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What is the average rate of change for ƒ(x) = 2^x + 10 over the interval 2 ≤ x ≤ 4?
A.) 4
B.) 6
C.) 8
D.) 12
What is the greatest common factor of 4k, 18 Kº, and 12?
A 2
B 4
C 2k.
D
4K
The number 2 is a factor of 4k, 18k and 12 since
4k = 2*2k
18k = 2*9k
12 = 2*6
It is also the largest common factor of all three expressions.
4 wouldn't work because 4 is not a factor of 18
2k doesn't work, and neither does 4k, since k is not present in 12.
A student graphed the line y = 3x + 2 plotting and connecting points A, B, and C. How can the student use points A, B, and C to find the graph of y =3x - 5?
Answer:
The student has to translate the points A, B and C 7 units down to create points A', B' and C', and then connect these points
Step-by-step explanation:
The slope of the lines is the same (3). The difference between the lines is their y-intercept (from the first line is 2 and for the second one is -5). This means that the lines are parallel and separated by 2 - (-5) = 7 units
two owls leave the same tree at 9:00 p.m. One owl flies west at 7 miles per hour and the other flies east at 13 miles per hour. In how many hours will they be 60 miles apart?
Answer:
3 hours.
Step-by-step explanation:
Trust me...
ILS
What type of triangle is shown below?
630
4.50
O
A. Acute
O
B. Obtuse
O
c. right
34 more than the quotient of a number and 15 is 53
Answer:
x=285
Step-by-step explanation:
34 more than ( +34)
quotient of number and 15 (x/15)
is 53 (=53)
(-34)x/15+34=53(-34)
(15)x/15=19(15)
x=285
The function f(x) = 3(1.9)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of the image after it has been enlarged 3 times? Round your answer to the nearest hundredth.
The length of the image is how many
inches?
Answer:
20.58 inches
Step-by-step explanation:
As the variable x represents the number of times the figure is enlarged, to find the length of the image after it has been enlarged 3 times, we just need to use the function f(x) with the value of x = 3:
f(x) = 3 * (1.9)^x
f(3) = 3 * (1.9)^3
f(3) = 3 * 6.859
f(3) = 20.577 inches
Rounding to nearest hundredth, we have f(3) = 20.58 inches
So the length of the image after being enlarged 3 times is 20.58 inches
can someone please help me?
Answer:
The answer is 27
Step-by-step explanation:
The reason being, you can solve this 2 ways.
1) Combine like terms, 7a-4a = 3a.
Now just substitute (a=9) into 3a.
3 * (9) = 27.
2) Or just substitute a = 9 into the original expression.
7 * (9) - 4 * (9)
= 63 - 36 = 27
Hello!
Answer:The correct answer is option four, 27.
Explanation:We know that a = 9.
Because the a is right next to the 7 and the 4, this indicates that it is being multiplied.
7a - 4a
Substitute for the 'a'.
= 7(9) - 4(9)
= 63 - 36
= 27
1. In a sample of 300 high school
seniors, 78 reported that they do not
have a driver's license. What is the
sample proportion?
Answer:
13 to 50
Step-by-step explanation:
1). 78 / 300 = 13 / 50 or 26 %
A doctor has found that the number of hours students sleep each night is inversely related to the amount of time they spend playing video games. He collected the data below.
If the trend the doctor has observed holds true, how many hours of sleep would you expect of a student who plays video games for 6 hours?
A. 6.5 hours
B. 7.5 hours
C. 7.25 hours
D. 6.25 hours
Answer: 6.25
Step-by-step explanation:
How do the temperatures compare? Order the temperatures from coldest to warmest. 42, -36.3, -15, 41.4, 36.1, -41.5
Answer:
-41.5, -36.3, -15, 36.1, 41.4, 42
Step-by-step explanation:
Final answer:
To order temperatures from coldest to warmest, place negative values first from smallest to largest, followed by positive values from smallest to largest. The correct order is -41.5, -36.3, -15, 36.1, 41.4, 42.
Explanation:
When comparing temperatures and ordering them from coldest to warmest, we need to recognize that negative temperatures are colder than positive temperatures. In °C or °F, lower negative values represent colder temperatures, and higher positive values represent warmer temperatures. Thus, to order the given temperatures from coldest to warmest: -41.5, -36.3, -15, 36.1, 41.4, 42.
Which ordered pair would form a proportional relationship with the point graphed below?
PLZ HELPPP MEEE
On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10).
(10, –20)
(–30, 20)
(–10, 5)
(35, –20)
Answer:
( -10, 5 )
Step-by-step explanation:
( i used Desmos, you should try it )
:)
Answer:
its c
Step-by-step explanation:
Which expression is equivalent to StartFraction 4 a + 4 Over 2 a EndFraction times StartFraction a squared Over a + 1 EndFraction? StartFraction 2 (a + 1) squared Over a cubed EndFraction 6a 2a StartFraction 6 a squared Over a + 1 EndFraction
Answer:
C. 2a
Step-by-step explanation:
i did this because I love you- angelo (junior 11th grade) CCHS 2021
The expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.
What are Equivalent Expressions?Equivalent expressions are expressions that have the same value when simplified.
Thus:
(4a + 4)/2a × a²/(a + 1)
Multiply
[(4a + 4)(a²)] / [(2a)(a + 1)]
(4a³ + 4a²) / (2a² + 2a)
2a(2a² + 2a) / 2a(a + 1)
(2a² + 2a) / (a + 1)
2a(a + 1) / (a + 1)
= 2a
Therefore, the expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.
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George Washington had been impatient since his departure from Philadelphia in early September. When he left the stricken city, he had put Secretary of War Henry Knox in charge of the government, giving the former general clear instructions to report to him weekly concerning the spread of yellow fever. —An American Plague, Jim Murphy What two benefits does the fictional account of events provide that the nonfiction does not? characters readers can connect with George Washington’s feelings about the event details of what it was like to experience the event Mr. Carris’s thoughts on Secretary of War Henry Knox a biography of George Washington
A fictional account offers benefits such as readers connecting emotionally with characters, like understanding George Washington's feelings, and provides immersive details on what experiencing historical events may have felt like, unlike nonfiction accounts which focus on factual precision.
A fictional account like the one in An American Plague by Jim Murphy offers two main benefits that a nonfictional account may not typically provide. First, it includes detailed characterization, which allows readers to connect with the characters on an emotional level. In this case, it's the portrayal of George Washington's feelings and his impatience as he left the city of Philadelphia. Second, a fictional account can offer vivid, imaginative details of what it was like to experience the event, thus bringing history to life in a way that purely factual retellings may not.
While nonfiction focuses on presenting the facts as accurately as possible, fiction can delve into the personal experiences and emotional journeys of historical figures, providing a different layer of understanding.
Johnny prepares a solution by mixing sodium acetate and water. To calculate the molarity of the solution, Johnny should calculate the moles of which substance, and why? *
sodium acetate, because it is the solvent
sodium acetate, because it is the solute
water, because it is the solvent
water, because it is the solute
Answer is B, sodium acetate, because it is the solute .
Select the number that completes the sentence. 20 is 1/10 of
0.02
O 0.2
2
200
O2,000
Answer:
the answer is 200
Step-by-step explanation:
We can write 1/10 of 200 in the form of equation as follows:
\frac{1}{10} * 200 = x
Where x represents that number we want to find.
so the answer is 20