Answer:
Both
Step-by-step explanation:
The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
(2, - 1) and (-4, 2) and inequality 2x – 3y > 4
Now, (2, -1)
2(2) - 3(-1)
4 + 3
7>4
and, take (-4, 2)
2(-4) - 3(2)
= -8 -6
= -14 < 4
Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.
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At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?
Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Hopes This Helps
The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?
Answer:
Step-by-step explanation:
surface area=4×5+2×1/2×3×4+5×5+3×6
=20+12+25+18
=75
pls help me I need it I will give u 100 points and mark u brainliest pls help me. I need 3 answers 3,4,5
Answer:
Question 3. Option B,
Question 4. Option D,
Question 5. Option B
Step-by-step explanation:
Question 3.
If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;
[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]
As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B
Question 4.
The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;
[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]
Question 5.
If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B
Answer:
Question 3: 6c
Question 4: 4 to 5, 4:5, 4/5
Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.
The question is: How much of the total distance he biked?
[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]
Question 5: 3 oranges and 15 apples
[tex]$\frac{1}{6} $[/tex] of the fruits are oranges.
It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.
If you take the options, only the first one is correct.
I’m stuck on this problem help
What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.
By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.
Answer:
y = x - 1is this for calvert homeshcool?Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5
Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
Plz I need help with this
Simplify 12c+14b+3c-22
Answer:
15c +14b -22
Step-by-step explanation:
12c+14b+3c-22
Combine like terms
12c+3c+14b-22
15c +14b -22
If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5
Answer:
The last option is correct. (f*g)(x) = x² - 5
Step-by-step explanation:
Since is f * g you have to multiply them together.
x² - 2 * x - 3 (x)
Next ust simplify.
x² -5x
A survey of 50 people found that 14 people like building a snowman. If 600 people had responded, how many would have been expected to list building a snowman as their favorite winter activity?
theoretical or experimental probability, and why
Answer:
168, a little of both
Step-by-step explanation:
Make 14 out of 50, 14/50 simplified its 7/25, multiply it by 600 and you get 168 its a little of both because half the info we were given its experimental since it is not theorized, what we're being given (the question) and what we gave is theorized since we didn't actually perform an experiment to get a real answer
AABC is translated 6 units up and 3 units left to create
AA'B'C'. If vertex A is located at (-1, 2), what are the
coordinates of A'?
(5-1)
(-4, 8)
(2, -4)
(-7, -1)
Answer:
-4,8
Step-by-step explanation:
If vertex A is located at (-1, 2) then the coordinates of A' is
What is Translation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.
We have,
The triangle is translated 6 units up and 3 units left.
If vertex A is located at (-1, 2).
To Translate 6 units up we have to add 6 to the y coordinate.
and, to translate 3 units left we have to subtract 3 from the x coordinates.
So, the coordinates after translation is
A (-1,2) --> A' (-4,8)
B (1,5) --> B' (-2,11)
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Find the value of x to the nearest degree.
Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A?
Answer: A = x^2/16 + (5 - x/4)^2 > 20.5
Hope this helped.
Plzzz answer ASAP. Plzz answer ALL three a,b,c
Answer:
I hope it helps . For any clarification , Please notify me through the comment section .
Step-by-step explanation:
[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]
Oh yikes this is a hard one!
Divide and answer in simplest form
A. 1/15
B. 15/1
C. 3/5
D. 5/3
Answer:
A.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] ÷ 5 = [tex]\frac{1}{3}*\frac{1}{5} =\frac{1}{15}[/tex]
Please hurry!!!
What is the solution of sqrt2x+4=16?
X=6
X=72
X=126
No solution
Answer:
126
Step-by-step explanation:
squaring both sides
([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]
⇒2x+4=256
2x=252
x=252/2=126
is the dilation en enlargement or a reduction? what is the scale factor of the dilation?
Answer:
The dilation is an enlargement, and the scale factor is 2. So, the answer is B.
Step-by-step explanation:
The dilation is an enlargement, and the scale factor is 2.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
The image of the object undergoing transformation is given.
From the attached object, we se that CP = 4.
Also CP' = 8
Thus; Scale factor is 8/4 = 2
Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.
The scale factor of the given dilation is; 2 and the dilation is a enlargement.
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c. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
Each pizza had 24 slices. When the party was over, 17 slices were left. How many
slices of pizza were eaten at the party.
Answer:
31
Step-by-step explanation:
Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48 slices
If only 17 remains, 48-17 = 31 slices got eaten
Answer:
31 eaten
Step-by-step explanation:
She started with 2 pizzas with 24 slices each
2*24 = 48
17 slices were left
48 - 17 = 31
That means 31 were eaten
AABC has coordinates of A(-6, -3), B(7, -7), and C(0, 3). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.
Kite K N M L is shown. Sides L K and K N are congruent. The length of L K is 2 y + 5 and the length of K N is y + 10. Sides N M and M L are congruent. The length of N M is 2 x + 6 and the length of M L is 3 x minus 1. What are the lengths of sides KN and NM of the kite? KN = units NM = units
Answer:
kn=15
nm=20
Step-by-step explanation:
The lengths of sides KN and NM of the kite
KN = 15 units
NM = 20 units
What is kite's shape?A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.
Given:
KLMN is a kite.
According to the given kite,
KN = KL........ (1)
and LM = NM........ (2)
From equation (1)
y + 10 = 2y + 5
y = 5.
Now,
3x -1 = 2x + 6
x = 7
We get,
LM = MN = 20
KN = 15 units
NM = 20 units
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Find x.
A)7
B)7"2
C)"(14)
Answer:
x = 7
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
tan theta = opposite/ adjacent
tan 45 = 7/x
Multiply each side by x
x tan 45 = 7
Divide each side by tan 45
x = 7/ tan 45
x = 7
Answer:
7
Step-by-step explanation:
It is a 45 45 90 triangle
meaning that the side lenghts will be x, x, x root 2
the hypotenuse will be x root 2, so that means that the side length will be 7
PLZ HELP ASAP WILL GUVE BRAINLIEST: Three times the sum of a number and four is 10 less than the same number. What is the number?
Answer:
6
Step-by-step explanation:
Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.
Answer:
A) Yes. The shared side, image, provides enough information for SAS.
Step-by-step explanation:
The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
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The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm
Answer:
[tex]x=12\:mm[/tex]
Step-by-step explanation:
[tex]A=bh[/tex]
[tex]b \times h=120[/tex]
[tex]b \times 10=120[/tex]
[tex]b=120 \div 10[/tex]
[tex]b=12[/tex]
(8^3 + 2^2 + 1) - (7 - 7^3+3^2)
Answer:
844 is the ans
Step-by-step explanation:
512+4+1 -7 +343+9= 844
Answer: 844
Step-by-step explanation:
-98 + -5 - 89 + 5 + 7
Answer:
-180 is your answer.
Step-by-step explanation:
Answer: -180
Step-by-step explanation: I uh, used the calculator app on my phone.
Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x Which explains whether Trina is correct? A. Trina is correct because the two sides of the equation are equivalent. B. Trina is correct because the two sides of the equation are not equivalent. C. Trina is not correct because the two sides of the equation are equivalent. D. Trina is not correct because the two sides of the equation are not equivalent.
Answer
The answer is C. Trina is not correct because the two sides of the equation are equivalent.
Step-by-step explanation:
1. solve for x
-8(x - 4) + 2x = -4(x - 8) -2x
-8x + 32 + 2x = -4x + 32 -2x
-6x + 32 = - 6x + 32
0 = 0
This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.
Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.
Hope This Helps :p
C. Trina is not correct because the two sides of the equation are equivalent
I just took the quiz on edge
What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answer:
12
Step-by-step explanation:
Carbon-141414 is an element which loses exactly half of its mass every 573057305730 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years). We measure that the initial mass of a sample of carbon-141414 is 741741741 grams. Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.
Answer:
The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is
M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ
with M(t) in grams and t in years.
Step-by-step explanation:
Radioactive reactions always follow a first order reaction dynamic
Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M
(dM/dt) = -kM (Minus sign because it's a rate of reduction)
(dM/dt) = -kM
(dM/M) = -kdt
∫ (dM/M) = -k ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.
We obtain
In (M/M₀) = -kt
(M/M₀) = e⁻ᵏᵗ
M(t) = M₀ e⁻ᵏᵗ
Although, we can obtain k from the information on half life.
For a first order reaction, the rate constant (k) and the half life (T) are related thus
T = (In2)/k
The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years
k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year
M(t) = M₀ e⁻ᵏᵗ
k = 0.000121 /year, M₀ = 741 grams
The equation then becomes
M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ
with M(t) in grams and t in years.
Hope this Helps!!!
Answer:
M(t)=741*(1/2)^t/5730
Bob Farted 3 times every 30 seconds how many time does Bob fart in 2 days?
Answer:
he would fart 17280 times in 2 days
Step-by-step explanation:
