Answer: Five cats ate 1 and a quarter of cat food.
Step-by-step explanation
Given:-
Cat food ate by one cat = 1/4 cup
Cat food ate by five cats =[tex]5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}[/tex]=1 and 1/4 cup.
Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]
In this diagram how many points are coplanar with points A , B and R ?
The points A , B and R are coplanar with point C and E , Option B is the correct answer.
What is the meaning of Co planar ?Two points are called co planar when they lie on the same surface , for example all the points in a circle are co planar.
In the given figure The points A , B and R are co planar with point C and E , C and E are not co planar with each other .
Therefore Option B is the correct answer.
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Determine the strongest classification for quadrilateral ABCD with vertices at A(1, 2), B(3, 5), C(5, 3), and D(2, 1). The quadrilateral is a because .
This is all i could come up with
The strongest classification for quadrilateral ABCD is that it is a parallelogram because its opposite sides are parallel.
To determine the classification of quadrilateral ABCD, we need to examine its properties and compare them to the defining traits of different types of quadrilaterals. One of the most effective ways to do this is by calculating the slopes of its sides and the lengths of its sides and diagonals.
Slopes of Sides:
We first find the slopes of each side of the quadrilateral using the coordinates of its vertices.
Slope of AB: (5 - 2) / (3 - 1) = 3/2
Slope of BC: (3 - 5) / (5 - 3) = -1
Slope of CD: (1 - 3) / (2 - 5) = 2/3
Slope of DA: (2 - 1) / (1 - 2) = -1
Lengths of Sides and Diagonals:
Next, we compute the lengths of the sides and diagonals using the distance formula.
Length of AB: √((3 - 1)² + (5 - 2)²) = √(2² + 3²) = √13
Length of BC: √((5 - 3)² + (3 - 5)²) = √(2² + 2²) = 2√2
Length of CD: √((2 - 5)² + (1 - 3)²) = √((-3)² + (-2)²) = √13
Length of DA: √((1 - 1)² + (2 - 1)²) = √(0² + 1²) = 1
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Does This Table Represent a function? Why Or Why Not?
Answer: The correct option is
(A) No, because one x-value correspond to two different y-values.
Step-by-step explanation: We are given to check whether the table represent a function or not.
From the table, we note that
the corresponding values of x and y in form of ordered pairs are
(x, y) = (2, 1), (2, 4), (3, 4), (4, 2) and (5, 5).
We know that a set of ordered pairs (x, y) represents a function of no value of x correspond to more than one one value of y.
But, in the given table, when the value of x is 2, then we are getting two different values of y, 1 and 4.
That is, one value of x correspond to two different values of y.
Thus, the given table DOES NOT represent a function, because one x-value correspond to two different y-values.
Option (A) is CORRECT.
below is the graph of f(x)= ln (x) how would you describe the graph of g (x) = 1/3 ln (x)
Graph of f(x)=ln(x) is missing but we can still answer this problem.
We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)
To find that compare both functions.
We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)
there multiplifaction factor 1/3 lies between 0 and 1.
Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).
So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
You can check attached file for more related rules
Answer:
compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
Step-by-step explanation:
An electronis store had 20% off sale. If a sterreo originally cost 125, how much
Lea buys 6 model cars that each cost $15 she also buys 4 bottles of paint that each cost $11 how much does lea spends on model cars an paint
Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, AABCD
1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.
2. By the Pythagorean theorem,
[tex]AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.[/tex]
3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.
4. The area of parallelogram is
[tex]A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.[/tex]
Need help ASAP will give brainlest
The answer would be translitive because if a=b and b=c then a
Is equal to c
That’s why the answer is translitive
Have you learned about translitive
If yo haven’t then the other answer would be the zero product
An angle measures 2.8° less than the measure of a complementary angle. What is the measure of each angle?
Answer:
43.6°, 46.4°
Step-by-step explanation:
Let x represent the smaller angle. Then the complementary angle is (90°-x). The problem statement tells us the relation is ...
x = (90°-x) -2.8°
2x = 87.2° . . . . . add x, collect terms
x = 43.6° . . . . . . divide by 2
Then the complementary angle is ...
90°-x = 46.4°
The measures of the angles are 43.6° and 46.4°.
What is the solution set of the equation using the quadratic formula:
x^2+2x+5=0
the answer should be {-2+4i,-2-4i}
Answer:
{-1-2i, -1-2i}
Step-by-step explanation:
LOTS OF POINTS!!!! URGENT!!!!
Describe the continuity or discontinuity of the graphed function.
Answer:
There are two discontinuities, one in the point (-2,2) and another on (-1,3).
Step-by-step explanation:
The discontinuity in (-2,2) is referred to as a removable discontinuity because this point is defined elsewhere.
The discontinuity in (-1,3) is called a jump discontinuity because it seems to "jump" from one point and continue at another.
need help with these two questions.
Circumference varies directly with radius means:
[tex]\frac{C}{r} = k[/tex]
[tex]\frac{9.42}{1.5} = k[/tex]
6.28 = k
So, the new equation is:
[tex]\frac{C}{r} = 6.28[/tex]
[tex]\frac{C}{9} = 6.28[/tex]
[tex](9)\frac{C}{9} = (9)6.28[/tex]
C = 56.52
****************************************
paycheck varies directly with hours means:
[tex]\frac{P}{h} = k[/tex]
[tex]\frac{52.50}{6} = k[/tex]
8.75 = k
So, the new equation is:
[tex]\frac{P}{h} = 8.75[/tex]
[tex]\frac{P}{11} = 8.75[/tex]
[tex](11)\frac{P}{11} = (11)8.75[/tex]
P = $96.25
Solve for e.
9 e - 7 = 7 e-11
The answer you are looking for is e= -2
The equation 9e - 7 = 7e - 11 simplifies to e = -2.
To solve the equation 9e - 7 = 7e - 11, follow these steps:
First, move all terms involving e to one side of the equation and constants to the other side.Subtract 7e from both sides:9e - 7e - 7 = -112e - 7 = -11.Add 7 to both sides: 2e = -11 + 72e = -4.Finally, divide both sides by 2: e = -2Thus, the value of e is -2.
Marcy job 0.8 mile on Wednesday and 0.9 mile on Thursday how far did she jog on the two days
Marcy jogged 1.7 miles total. Hope I could help!!
A certain arithmetic sequence has this explicit formula for the nth term: an = 11 + (n – 1)(4) The same sequence has this recursive formula: an = an–1 + What number belongs in the blank space in the recursive formula?
a.15
b.11
c.3
d.4
Answer:
I would say D
Answer:
4
Step-by-step explanation:
A certain arithmetic sequence has this explicit formula for the nth term:
[tex]a_n = 11 + (n- 1)(4)[/tex]
Substitute n = 1
[tex]a_1 = 11 + (1- 1)(4)[/tex]
[tex]a_1 = 11 [/tex]
Substitute n =2
[tex]a_2 = 11 + (2- 1)(4)[/tex]
[tex]a_2 = 15[/tex]
[tex]d= a_2-a_1=15-11=4[/tex]
So,[tex]a_2=a_1+d=11+4=15[/tex] --1
Substitute n = 3
[tex]a_3 = 11 + (3- 1)(4)[/tex]
[tex]a_3 = 19[/tex]
[tex]a_3=a_2+d=15+4=19[/tex] ---2
So, with 1 and 2
Recursive formula : [tex]a_n=a_{n-1}+d[/tex]
Since d is 4
So, the number belongs in the blank space in the recursive formula is 4.
Triangle SBA has coordinate S(15,-8), B(-2,21), A(0,0). If the height of the triangle for the corresponding base sb is 8.89 units, then determine the perimeter and area of SBA.
Answer:
Perimeter of triangle = 71.72 unit.
Area of triangle = 149.44 unit²
Explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex].
So we have SB = [tex]\sqrt{(-2-15)^2+(21-(-8))^2}=\sqrt{1130} =33.62[/tex]unit
BA = [tex]\sqrt{(0-(-2))^2+(0-21^2)}=\sqrt{445} =21.10[/tex]unit
AS = [tex]\sqrt{(15-0)^2+(-8-0)}=\sqrt{289} =17[/tex]unit
So perimeter of triangle = 33.62 + 21.10 + 17 = 71.72 unit.
We have SB = Base = 33.62 unit and Perpendicular height = 8.89 units.
Area = 0.5 x Base x Perpendicular height.
= 0.5 x 33.62 x 8.89 = 149.44 unit²
The perimeter of the triangle SBA is approximately 66.91 units and the area is approximately 131.06 square units.
Explanation:To find the perimeter of triangle SBA, we need to find the lengths of the three sides first. We can use the distance formula to calculate the length of each side. Using the coordinates of S(15,-8), B(-2,21), and A(0,0), we find that SB ≈ 29.47 units, BA ≈ 18.19 units, and AS ≈ 19.25 units. The perimeter is the sum of these three lengths, which is approximately 66.91 units.
To find the area of triangle SBA, we can use the formula: area = 1/2 * base * height. The base is the length of SB, which is approximately 29.47 units, and the height is given as 8.89 units. Plugging these values into the formula, we get the area ≈ 131.06 square units.
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What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.
This is my answer and work, is this right? And how would I put this in interval notation.
-2/3(2x - 1/2) ≤ 1/5x - 1
2x – 1/2 ≥ 1/5x +3/2
2x ≥ 1/5x + 2
9/5x ≥ 2
x ≥ 10/9
ANSWER
[tex]-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1[/tex]
Multiply through by LCM of 15
[tex](15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)[/tex]
[tex] -10(2x-\frac{1}{2})\le 3x-15[/tex]
Expand brackets to obtain,
[tex] -20x+5\le 3x-15[/tex]
Group like terms
[tex] 15+5\le 20x+3x[/tex]
[tex] 20\le 23x[/tex]
[tex] \frac{20}{23}\le x[/tex]
[tex]x\ge \frac{20}{23}[/tex]
In interval form it is written as
[tex] [\frac{20}{23}, \infty)[/tex]
The correct solution to the inequality is x ≥ 20/23, written in interval notation as: [20/23, +Infinity).
Explanation:In this mathematical inequality problem, your steps are correct until you get to -2/3(2x - 1/2) ≤ 1/5x - 1. Thereafter, however, your proceedings seem to be erroneous. Let's correct the steps:
First, distribute -2/3 to both 2x and -1/2 to get -(4/3)x + 1/3 ≤ 1/5x - 1. Second, we'll get rid of the fractions by multiplying the whole inequality by 15 (a common multiple of 3 and 5), resulting in -20x + 5 ≤ 3x - 15. Then, add 20x to both sides to get 5 ≤ 23x - 15. Lastly, add 15 to both sides, so we end up with 20 ≤ 23x, or in simplified form x ≥ 20/23.
So the solution to the inequality is x ≥ 20/23, which in interval notation would be written as: [20/23, +Infinity).
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Use the graph below to answer the question that follows: trig graph with points at 0, 2 and pi over 2, 0 and pi, negative 2 and 3 pi over 2, 0 and 2 pi, 2 and 5 pi over 2, 0 and 3 pi, negative 2 What trigonometric function represents the graph?
[tex](0,\ 2);\ \left(\dfrac{\pi}{2},\ 0\right);\ (\pi,\ -2);\ \left(\dfrac{3\pi}{2},\ 0\right);\ (2\pi,\ 2);\ \left(\dfrac{5\pi}{2},\ 0\right);\ (3\pi,\ -2)\\\\\text{Look at the picture}\\\\Answer:\ \boxed{y=2\cos(x)}[/tex]
what expressions is the prime factorization of 360?
Answer,
Prime[1] = 2, Prime[2] = 3, Prime[3] = 5
Hope this helps :-)
Toni can carry up to 18 1b in her backpack. Her lunch weighs 1 1b, her gym clothes weigh 2 1b, and her books (b) weigh 3 1b each. How many books can she carry in her backpack?
PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
What are the coordinates of P’ and L’?
P’(9, -6), L’(-2, 1)
P’(4, -6), L’(3, 1)
P’(9, -6), L’(3, 1)☺
P’(9, -1), L’(3, 6)
i just took the assignment and the was correct
have a good day
What is the next term in the sequence below? -2, 4, -8, 16, -32,
the answer is,
-2, 4, -8, 16, -32, 64
The dimensions of a dollar bill are 6.125 inches by 3.375 inches. However, a dollar bill created 1891 to 1928 had dimensions of 7.3125 inches by 3.125 inches. Are the two dollar bills similar?
The two dollar bills are not similar because the ratios of their corresponding dimensions are not the same.
To determine if the two dollar bills are similar, we need to check if the ratios of the corresponding dimensions are the same.
The dimensions of the current dollar bill are 6.125 inches by 3.375 inches. The dimensions of the older dollar bill are 7.3125 inches by 3.125 inches.
Calculate the ratio of the length to the width for the current dollar bill: 6.125 / 3.375 ≈ 1.8148Calculate the ratio of the length to the width for the older dollar bill: 7.3125 / 3.125 ≈ 2.3400Since the ratios (1.8148 and 2.3400) are not equal, the two dollar bills are not similar.
Use the order of operations to simplify this expression 4 + 0.8 x 1.5 - 3
You would use PEMDAS to solve this:
0.8 x 1.5 = 1.2
4 + 1.2 - 3
5.2 - 3
2.2 is your answer
Answer:
the answer is 2.2
At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is
(A) 1 to 3
(B) 2 to 3
(C) 1 to 4
(D) 4 to 1
What type of lines are these? Y = 2x + 4 and 2y = -4x + 10
ANSWER
The lines are two intersecting lines. They intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]
EXPLANATION
To determine which type of lines, we look for the slopes of the two lines and compare them to see whether they are parallel or perpendicular.
The first line is [tex]y=2x+4--(1)[/tex].
This line is already in the form;
[tex]y=mx+c[/tex], which is referred to as the slope intercept form, where [tex]m=2[/tex] is the slope.
The second line is
[tex]2y=-4x+10[/tex]
Dividing through by 2 gives;
[tex]y=-2x+5--(2)[/tex]
This implies that, this line also has a slope of [tex]-2[/tex].
Since the two slopes are not the same,the lines are not parallel.
Also the the product of the two slopes, [tex]-2\times 2 \ne -1[/tex], hence the two lines are not perpendicular.
Adding equation (1) and (2) gives;
[tex]2y=9[/tex]
[tex]\Rightarrow y=4.5[/tex]
Putting [tex]y=4.5[/tex] in equation (1) gives
[tex]4.5=2x+4[/tex]
[tex]\Rightarrow 0.5=2x[/tex]
[tex]\Rightarrow x=\frac{1}{4}[/tex].
Hence the two lines intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]
The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. There are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. How many times does the heart beat in one year?
Answer:
4.2*10^7
Step-by-step explanation:
Khan Academy
The human heart beats approximately 4.2 ⋅ 10^7 times in one year.
Explanation:To calculate the number of times the human heart beats in one year, we need to multiply the average number of beats per day by the number of days in a year. The average human heart beats 1.15 ⋅ 105 times per day, and there are 3.65 ⋅ 102 days in one year. So, the number of times the heart beats in one year is:
1.15 ⋅ 105 times/day ⋅ 3.65 ⋅ 102 days/year = 4.1975 ⋅ 107 times/year
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Select the point that is a solution to the system of inequalities
Answer:
The answer is (1,6) so its either A or C since they both have (1,6)
Step-by-step explanation:
I think the answer is both A and C since there the same so the answer is 1,6
You bought 5 pounds of hamburger meat, and you want to make quarter pounders (each weigh .25 of a pound). How many quarter pounders can you make? Show your work and explain your reasoning.
You can make 20 quarter pounders based on the information provided. You can show your work by dividing 5 by .25. You need to make both of these a fraction by doing 5/1 x 1/4. This leading you to get 20 making this your answer.
Write 5 numbers that round to 360 when rounded to the nearest ten