To find the box to the top left, we can multiple the sides like rectangles. To find the top left box, we can multiply -1 and 0.5y to get -0.5y.
To find the box on the bottom right, we can multiply the sides like rectangles again. To find the bottom right box, we can multiply 24x and 3 to get 72x.
Function: Yes or no
{(-4,6),(-3,2),(1,0), (7,6), (8,2)}
Answer:
No
Step-by-step explanation:
Find the surface area of the composite figure.
8 cm
6 cm
7 cm
8 cm
SA =
6 cm
[?] cm²
9 cm
6 cm
Answer:
382 cm²
Step-by-step explanation:
Front face + Back face:
A = 2(a + b)h/2
A = 2(14 cm + 8 cm)(7 cm)/2
A = 154 cm²
Left face:
A = 7 cm × 6 cm = 42 cm²
Right face:
A = 9 cm × 6 cm = 54 cm²
Bottom face:
A = 14 cm × 6 cm = 84 cm²
Top face:
A = 6 cm × 8 cm = 48 cm²
Total surface area =
= (154 + 42 + 54 + 84 + 40) cm²
= 382 cm²
Work out the value of x.
Answer:
x = 20
Step-by-step explanation:
4x+5x = 180° (sum of int angles)
9x = 180°
x = 20°
Hence, x = 20.
Answer:
\(\huge\boxed{x=20}\)
Useful Information:
Co-interior angles add to 180°
Step-by-step explanation:
The first step is to add 4x to 5x, which gives you 9x. This is because co-interior angles add up to 180, so 4x+5x=180. Co-interior angles can be spotted by their C shape.
To work out the value of x you would need to divide 180 by 9, which gives you 20°. This is because 9x is equal to 180. This means that x is equal to 180 divided by 9.
1) Add 4x to 5x.
\(4x+5x=9x\)
2) Divide 180 by 9.
\(\frac{180}{9}=20\)
Our traits are determined by our genes and these traits are inherited. Where do our genes come from?
A)
our father
B)
our mother
from both parents equally
D)
part from our mother but mostly from our father
Science
The formula for simple interest is I=Prt, where P is the principal, r is the interest rate, and t is time. solve for p
Answer: P=I/rt
Step-by-step explanation:
I=Prt
P=I/rt
In how many ways can 6 girls and 2 boys sit in a row if the 2 boys insist on sitting next to each other
Answer:
For each of these arrangements, there are 2 possible arrangements for the boys - they can stay the way they are or they can switch seats. So, in total, there are 5040 x 2 = 10080 possible arrangements.
x+2x-15 somebody solve this right now and quickly please
Answer:
3(x-5)
Step-by-step explanation:
Answer:
3(x - 5)
Step-by-step explanation:
Make terms..
x + 2x - 15 =
3x - 15
Now lets find a common factor of them..
3x - 15
3(x - 5)
Thus,
3(x - 5), Is your answer
Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me
Answer:
1/4 pound
Step-by-step explanation:
2 1/2 divided by 10
=
1/4
or
5/2 divided by 10
=
1/4
Answer: 1/4 lbs
Step-by-step explanation:
To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.
(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day
do these ratios form a proportion? 5:10 11:14
Answer: no
Step-by-step explanation:
A = 7, B = 13 and C = 6 then D = 11.1428571429. 3. A = 28, B = 34 and D =15 then C= 12.3529411765. 4. A = 13, B = 15, C = 2 and D = 33 then 13: 15
BEN ELİF81 BU HESABI TAKİP EDERMİSİN EĞER BENİ TAKİP EDERSENİZ BEN DE SİZİ TAKİP EDERİM.
SİZE GÜVENİYORUM:)
When tossing a fair six-sided die, let x = 1 if the die comes up 3, and x = o otherwise. also, let y = 1 if the die comes up 5, and y = 0 otherwise. finally, let z = x y.
The random variables x and y are defined as x = 1 if the die comes up 3, and x = 0 otherwise, and y = 1 if the die comes up 5, and y = 0 otherwise. The variable z is the product of x and y, which is 1 only when both x and y are 1. The probability that z is 1 is 1/36.
When we toss a fair six-sided die, there are six possible outcomes that are equally likely. The values of x and y depend on the outcome of the die. The variable x is equal to 1 if the die comes up 3, and x is equal to 0 otherwise. Similarly, the variable y is equal to 1 if the die comes up 5, and y is equal to 0 otherwise.
Therefore, x and y are both binary variables, taking on values of 0 or 1. The probability that x is 1 is 1/6, since there is only one way to get a 3 out of six possible outcomes. The probability that y is 1 is also 1/6, since there is only one way to get a 5 out of six possible outcomes.
The variable z is defined as the product of x and y, which is 1 only when both x and y are 1. Therefore, z is also a binary variable that takes on values of 0 or 1. The probability that z is 1 is the probability that both x and y are 1, which is equal to the probability of getting a 3 and a 5 on the same roll of the die.
Since the outcomes of the die are independent, the probability of getting both a 3 and a 5 on the same roll is the product of the probabilities of getting a 3 and a 5 separately, which is equal to (1/6) × (1/6) = 1/36. Therefore, the probability that z is 1 is 1/36.
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the perimeter of an isosceles triangle is 12x^2-5x +4 cm find the length of one of its equal sides
Answer:
4x² - x + 2--------------------------
Let the equal sides be both marked as ?
Use the perimeter formula to determine one of the equal sides.
P = 2(?) + x(4x - 3)Substitute the expression for the perimeter and find the value of ?
12x² - 5x + 4 = 2(?) + x(4x - 3)12x² - 5x + 4 = 2(?) + 4x² - 3x2(?) = 12x² - 5x + 4 - 4x² + 3x2(?) = 8x² - 2x + 4? = 4x² - x + 2Hence the length of each of equal sides is 4x² - x + 2.
Worth 20pts need help right away
Q. Make an equation that describes the table of values below
Ps pls explain work it’s worth 20 pts
Answer:
y=2x+1
Step-by-step explanation:
there's nothing to show, sorry
ask me if you have question
Score on last try: 0 of 1 pts. See Details for more. You can retry this question below Hint 1 Hint 2 Hint 3 Hint 4 A bug flying horizontally at 0.65 m/s collides and sticks to the end of a uniform stick hanging vertically. After the impact, the stick swings out to a maximum angle of 8.5° from the vertical before rotating back. If the mass of the stick is 10 times that of the bug, calculate the length of the stick. Heads up: this is a challenging problem.
The length of the stick was 7.55 cm.
Given that,
initial speed of bug is given by, v=0.65 m/s
m refers to the mass of bug.
Mass of stick is given by, M= 10m
I refers to the moment of inertia of bug and stick together about the end of the stick.
ω refers to the angular velocity of the bug and stick immediately after collision.
L refers to length of stick
Stick can be considered rod.
Now, moment of inertia about end of a rod is given by = 1/3 ML²
From angular momentum conservation theory we can get,
total initial angular momentum = total final angular momentum
mvL = Iω
mvL = [mL² + 1/3 ML²] ω
mvL = [mL² + 1/3 (10m) L²] ω
0.65 L = 4.333 L²ω
L = 0.15/ω
ω = 0.15/L
Change in vertical position center of mass of rod is given by,
H = L/2 [1 - cos θ]
Change in vertical position of bug after reaching max height is given by,
h = L [1 - cos θ]
From energy conservation law we can conclude that,
Rotational kinetic energy immediately after collision = Potential energy of bug and stick system at max height .
(1/2) [mL² + 1/3 ML²] ω² = mgh + MgH
(1/2) [mL² + 1/3 (10m) L²] ω² = m(gh + 10gH)
2.167 L²ω² = g (h + 10H)
2.167 L² (0.15/L)² = g [L [1 - cos θ] + 5L [1 - cos θ]] (Substituting the relations from previous)
(2.167) (0.15)² = 6 (9.8) L (1 - cos 8.5)
L = 0.0755 m (Rounding off to nearest fourth decimal places)
L = 7.55 cm
Hence the length of the stick was 7.55 cm.
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The question is incomplete. The complete question will be -
Need help with school
solve the following 3+X=7
Answer:
x = 4
Step-by-step explanation:
3 + x = 7 ( isolate x by subtracting 3 from both sides )
x = 7 - 3 = 4
Answer:
x=4
Step-by-step explanation:
3+x=7
Subtract 3 from both sides as Subtraction is the opposite of Addition.
So 7-3 = 4
X=4
What’s equals x
-9t + 2 = 56
The dashed triangle is a dilation image of the solid triangle. What is the scale factor?
Answer:
1/2
Step-by-step explanation:
Take any point from the original, like (2,2) If the new point is (1,1) then the change would be 1/2
Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.
Answer:
C - 5
Step-by-step explanation:
We know
Emmet had c caramels
His sister took 5 caramels, that means subtract 5, so the equation is
c - 5
Can someone help me with this
Value of mathematical expression by using integer are:
a=10+-2*-2*5
b=10-(-2*-2)+5
c=10-5*10-2*10
Define integerAn integer is a mathematical term used to describe a whole number that is not a fraction or a decimal. Examples of integers are -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7and so on.
First EquationMultiplying 5 with -2 two times and adding it with 10
a=10+(-2×-2×5)
a=30
Second EquationMultiplying -2 with -2 and subtracting it with 10 and 5
b=10-(-2×(-2))+5
b=-1
Third EquationSubtracting 10 with multiplication of 5 and 10 and adding it with multiplication with 10 and -2.
a=10-5×10-2×10
a=-60
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The area of a rectangle is 52 in^2. If the length is 9 inches more than the width, find the
dimensions of the rectangle.
Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
The solution is, width=4in.
length=13in
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
The area of a rectangle is 52 in^2.
If the length is 9 inches more than the width.
let the width of the rectangle be x
then the length will be x+9
Area= length×width
so, we have,
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
so, we get,
the width is 4in. and the length is 4+9=13in.
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Hot dogs come in packs of 8 and hot dog buns come in packs of 6. what is the least number of hot dog packs you can buy when you want to have the same number of hot dogs and buns? how many packs of buns will you need to buy? how many total hot dogs will you have bought?
The product of two consecutive integers is 19 more than their sum. Find the integers.A. 5,6 B. -4,-3 C. 4,5 or -4,-3 D. 5,6 or -4 , -3
The answer to the question is C, which is integers 4,5 or -4,-3.
Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2
The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.
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Plz help me with my homework
Answer:
a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.
b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.
Remember: Speed=Distance/Timefirst step for solving this quadratic equation?
x2+2x-11=4
Answer:
subtract 4 from both sides
Step-by-step explanation:
Given
x² + 2x - 11 = 4
First step : subtract 4 from both sides
x² + 2x - 15 = 0 ← in standard form
Second step : factorise the quadratic
(x + 5)(x - 3) = 0 ← in factored form
Third step : equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
Fourth step : state the solutions
solutions are x = - 5, x = 3
ow many groups of
1
5
5
1
start fraction, 1, divided by, 5, end fraction are in
4
44?
By the calculations below, there are 20 groups of 1/5 in 4.
Division of Fractions: Finding GroupsTo find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:
4 ÷ 1/5
To find the reciprocal of 1/5, we flip the fraction:
1/5 → 5/1
Now, we can rewrite the division problem as multiplication:
4 ÷ 1/5 = 4 × 5/1
Multiplying across gives:
4 × 5/1 = 20
Therefore, there are 20 groups of 1/5 in 4.
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It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer: It would cost $9.45
$28.20/188= .15
then .15 times 63=9.45
Solve the eavation
for the given variable
-0.1 = -10 c
The solution to the equation -0.1 = -10c is c = 0.01.
What is the solution to the given equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign (=) as a connection between them.
Given the equation in the question;
-0.1 = -10c
To solve for the varibale c, first we rewrite the equation as;
-10c = -0.1
Now, divide both sides by the coefficient of c.
-10c / -10 = -0.1 / -10
Note that - / - = +
c = 0.1/10
c = 0.01
Therefore, the value of varibale c is 0.01.
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The ratio of boys to girls in a class is 5:4. There are 36 Students in the class.How many students are girls
Answer:
16
Step-by-step explanation:
let boys equal to 5x
and girls equal to 4x
so 4x+5x=36
X=4
so boys are 5*4
boys are 20
and girls are 16
so boys are 4 more than girls
Answer:
16 girls
Step-by-step explanation:
boys : girls : total
5 4 5+4 = 9
take the total number of people and divide by 9
36/9 = 4
Each number should be multiplied by 4
boys : girls : total
5*4 4*4 9*4
20 16 36
There are 16 girls
For a family gathering, Bianca made 5 meat loaves using 8 pounds of ground beef. She also made 16 hamburgers using 6 pounds of ground beef. Part A Each meat loaf was made with the same amount of ground bee How much ground beef was in each meat loaf?
A. 1- 8/5
B. 5/8
C. 1- 3/5
D. 8- 1/5
Answer: Each meat loaf was made with the same amount of ground beef, and Bianca made 5 meat loaves using 8 pounds of ground beef. To find the amount of ground beef in each meat loaf, we can divide the total amount of ground beef used to make the meat loaves by the number of meat loaves.
So, the amount of ground beef in each meat loaf is 8 pounds / 5 meat loaves = 1.6 pounds
In terms of the options provided, 1.6 pounds is equal to 8/5 (Option A)
Step-by-step explanation: