Answer:
384
Step-by-step explanation:
Answer:
They answer 256 because you will multiply the border four times (4x4x4x4) to get the perimeter of border.
If the scale factor of a dilation is less than one and greater than zero, what happens to the resulting image?
A. The resulting image will be a translation of the original image.
B. The resulting image will be a rotation of the original image.
C. The resulting image will be a reduction of the original image.
D. The resulting image will be an enlargement of the original image.
Dilation means every coordinate of the given original image will be multiplied by the given scale factor.
If the scale factor of a dilation is less than one and greater than zero.
The resulting image will be an enlargement of the original image.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given new object and an original object,
We have,
The scale factor of a dilation is less than one and greater than zero,
This means,
The scale factor = x
0 < x < 1
We can have,
x = 0.5, 0.6, 0.7
Dilation means every coordinate of the given original image will be multiplied by the given scale factor.
This means,
The image will be an enlargement of the original image.
Thus,
If the scale factor of a dilation is less than one and greater than zero.
The resulting image will be an enlargement of the original image.
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In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog. Find the probability that a student chosen at random has a cat and a dog
ANSWER
[tex] \frac{9}{25} [/tex]
EXPLANATION
The given information is represented on the Venn diagram above, where x represents students who have both cat and dog.
The sum of all the regions should give us 25.
[tex](15 - x) + x + (16 - x) + 3 = 25[/tex]
Group similar terms to obtain;
[tex] - x + x - x = 25 - 15 - 16 - 3[/tex]
Simplify
[tex] - x = - 9[/tex]
[tex]x = 9[/tex]
The probability that a student chosen at random has a cat and a dog is
[tex] = \frac{9}{25} [/tex]
The probability that a student chosen at random has a cat and a dog is; P(cat and dog) = 9/25.
According to the question, the total number of students is; 25.
15 of them have a cat16 of them have a dogwhile, 3 of them have neitherThe information above are drawn in a Venn diagram in the attached image.
where, x = number if students who own a cat and a dog.Consequently, the total number of students who own a cat, a dog, both or neither is as follows;
15-x + x + 16-x + 3 = 25.-x = 25 - 34In essence, x = 9
Therefore, the number of students who own a cat and a dog is 9.The probability that a student chosen at random has a cat and a dog is therefore;
P(cat and dog) = 9/25.Read more;
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6. Find the area of the parallelograr
Answer:
A = 42 cm²Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=ah[/tex]
a - base
h - height
We have
[tex]a=11\dfrac{2}{3}\ cm,\ h=3\dfrac{3}{5}\ cm[/tex]
Convert the mixed numbers to the improper fractions:
[tex]11\dfrac{2}{3}=\dfrac{(11)(3)+2}{3}=\dfrac{35}{3}\\\\3\dfrac{3}{5}=\dfrac{(3)(5)+3}{5}=\dfrac{18}{5}[/tex]
Substitute:
[tex]A=\left(11\dfrac{2}{3}\right)\left(3\dfrac{3}{5}\right)=\left(\dfrac{35\!\!\!\!\!\diagup^7}{3\!\!\!\!\diagup_1}\right)\left(\dfrac{18\!\!\!\!\diagup^6}{5\!\!\!\!\diagup_1}\right)=(7)(6)=42\ cm^2[/tex]
The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?
a. 11/2 cubic in
b. 40 cubic in.
c. 5 cubic in.
d. 20 cubic in
Answer:
the answer is C. 5 cubic in
Step-by-step explanation:
V = LWH
length is 2 (1/2 in)
width is 5 (1/2 in)
height is 4 (1/2 in)
V = (2/2) (5/2) (2)
V = 1 * 5/2 * 2
V = 5 cubic in
The volume of the rectangular prism will be 5 cubic inches. Then the correct option is C.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The prism below is made of cubes that measure 1/2 of an inch on one side.
The dimension will be
L = 2 x 1/2 = 1 inch
W = 5 x 1/2 = 2.5 inches
H = 4 x 1/2 = 2 inches
Then the volume of the rectangular prism will be
V = 1 x 2.5 x 2
V = 5 cubic inches
Then the correct option is C.
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if the driver looks 49 inches above the road bed, at what distances from the tower will the drivers eyes be at the same height as the cable?
Replace h with 49 ( the given height) and solve for d ( distance).
49 = d^2 - 36d +324
Subtract 49 from both sides:
0 = d^2 - 36d + 275
Factor the polynomial, by finding two numbers when added together equal -36 and when multiplied equal 275.
(d-25)(d-11) = 0
Now solve for d by setting both equations to 0:
d-25 = 0
d = 25
d-11 = 0
d = 11
The two distances would be 11 yards and 25 yards.
Functions f(x) and g(x) are shown below:
f(x) = x2
g(x) = x2 − 8x + 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units
Answer:
B, Right by 4 units
Step-by-step explanation:
we want to factor g(x), and the factorization of that would be (x - 4)² as its a perfect square trinomial
when translating on a graph, we determine the translation. the translation of g(x) is a horizontal shift 4 units to the right, as we are subtracting 4. if it was adding 4, we would be shifting to the left 4 units
ANSWER
Right by 4 units
EXPLANATION
The given functions are
[tex]f(x) = {x}^{2} [/tex]
and
[tex]g(x) = {x}^{2} - 8x + 16[/tex]
To obtain how much f(x) is shifted to obtain g(x), we need to rewrite g(x) in vertex form.
Observe that,
[tex]g(x) = {x}^{2} - 8x + ( - 4) ^{2} [/tex]
is a perfect square trinomial.
The vertex form is
[tex]g(x) = {(x - 4)}^{2} [/tex]
When f(x) is shifted 4 units to the right, we obtain g(x).
Can one of y'all smart people help
i think the answer is 8
A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you randomly select another marble from the bag. Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?
Answer:
Event A = white marble is selected
Event B = blue marble is selected
P(A) = 5/10 = 1/2
p(B) = 5/10 = 1/2
Probability that A and B are independent events is:
P(A∩B) = 1/2 × 1/2
Answer: 1/4
Answer: C) P(A and B) = 1/2 1/2
In a recent student government election, the ratio of students who voted for the winner to all the students who voted was 0.64. The number of students who voted was 125. How many votes did the winner get?
Answer:
80
Step-by-step explanation:
The total was 125
0.64 of them voted for the winner.
The number who voted for the winner = ratio * total
Votes for the winner = 0.64 * 125
Votes for the winner = 80
Identify the vertex of the parabola
Answer: The vertex is 1
Step-by-step explanation:
The vertex is the line that passes through the center of the parabola
find the area of each triangle. Round your answers to the nearest tenth
Answer:
5. 25.4 6. 53.5 7. 107.9
Step-by-step explanation:
since you do not know the height you do the side time the base times the gamma or the angle degrees
PLS HELP MEEEEEE!!!!!!!!
Answer:
A
Step-by-step explanation:
the y intercerpt is what is given as (0,5) and the slope is given as -4, so using y=mx+b where m=slope and b=y int, we get y=-4+5
Answer:
A, y = -4x + 5
Step-by-step explanation:
the slope intercept form is y = mx + b with mx being the slope, and y being the y-intercept
we are given the y-intercept (0,5) and the slope -4, so we plug this into slope intercept form
y = -4x + 5
the answer is A
One kilogram of cheese costs £6.70How much would 400g cost?
Answer:
2680
Step-by-step explanation:
i just did 6.70 times 400g
Answer:
400 grams (or 0.4 kg) of this cheese would cost £2.68.
Step-by-step explanation:
Let's write and solve an equation of ratios:
0.4 kg x
------------- = -------------
1.0 kg £6.70
Cross multiplying to solve for x, we get:
0.4(6.70) = x, or
x = £2.68
400 grams (or 0.4 kg) of this cheese would cost £2.68.
Please help and thank you
Answer:
The answer is D
Step-by-step explanation:
Answer: B. .06%
Step-by-step explanation: In the first column, 0.04% owned a bird and fish. .02% owned a bird, but not a fish. So:
0.04% + 0.02% = 0.06%
what is 3/4 x 1/2=?
Answer:
3/8Step-by-step explanation:
[tex]\dfrac{3}{4}\times\dfrac{1}{2}=\dfrac{3\times1}{4\times2}=\dfrac{3}{8}[/tex]
Twelve is what percent of 20? 17 6 60 80
12 to 20 is 60 percent
12 is 60% of 20
To find the percent you must divide to two numbers 12 and 20. You then get 0.6 which is 60 percent because 6 is in the tenths place which also determines how many zeros there are.
What is the surface area of the figure? (Easy 20 points pls help)
408 ft
Can I have brainliest?
:)
A hypothetical square grows so that the length of it's diagonals are increasing at a rate of 8 m/min. How fast is the area of the square increasing when the diagonals are 4m each?
Answer:
32[tex]m^{2}/min[/tex]
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;
[tex]l^{2}+l^{2}=z^{2}\\2l^{2}=z^{2}[/tex]
The are of a square of length l is given as;
[tex]A=l^{2}[/tex]
Combining these two equations yields;
[tex]z^{2}=2A[/tex]
[tex]A=\frac{z^{2} }{2}[/tex]
Next, we have been given;
[tex]\frac{dz}{dt}=8[/tex]
We are required to find;
[tex]\frac{dA}{dt}[/tex] when z = 4
By chain rule;
[tex]\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}[/tex]
Differentiating [tex]A=\frac{z^{2} }{2}[/tex] with respect to z yields;
[tex]\frac{dA}{dz}=z[/tex]
Therefore,
[tex]\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}[/tex] = 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32[tex]m^{2}/min[/tex]
The area of the square is increasing at a rate of 32 m^2/min when the diagonals are each 4 meters long. This is calculated using the relationship between the diagonal and the side length of the square, and applying the concepts of calculus.
Explanation:The subject of your question is related to Mathematics, specifically in the field of calculus, which deals with rates of change and accumulation. In this scenario, we're looking at how fast the area of a square is increasing given that its diagonals are increasing at a steady rate.
In a square, the diagonal and the side length 's' have a specific relationship, given by the Pythagorean theorem as diagonal = s * sqrt(2). As the diagonal is increasing at 8 m/min, ds/dt = 8/(sqrt(2)) m/min. Now, the area of a square (A) is given by A = s^2. By differentiating this respect to time 't', dA/dt = 2s*(ds/dt). Substituting the given length of the diagonal (4 m), we find s = diagonal/sqrt(2) = 2 sqrt(2) m. Now, substituting s and ds/dt into the equation for dA/dt, we find dA/dt = 2s*(ds/dt) = 2*2sqrt(2)*8/sqrt(2) = 32 m^2/min. So, the area of the square is increasing at the rate of 32 m^2/min when the diagonals are 4 meters each.
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Alyssa is saving up for a computer and knows she'll need to spend at least $750 to get the one she wants. She saves $80 each month. How long will she need to save before she can go computer shopping? Which of the following inequalities could you use to solve this problem? A. x < 750 B. x 750 C. 80x 750 D. 80x 750
Answer:
[tex]80x\geq 750[/tex]
She'll need to save at least 10 months to be able to go buy the computer.
Step-by-step explanation:
Let
x ----> the number of months
we know that
The inequality that represent this situation is equal to
[tex]80x\geq 750[/tex]
solve for x
[tex]x\geq 750/80[/tex]
[tex]x\geq 9.4\ months[/tex]
therefore
The minimum number of months is 10
What function equation is represented by the graph?
A f(x)=−2/3x+2
B f(x)=3x−2
C f(x)=2/3x−2
D f(x)=−2x+3
Answer:
C.2/3x−2
Step-by-step explanation:
The answer is definitely C
Find the number of real number solutions for the equation. x^2+0x-1=0
Answer:
+1
-1
Step-by-step explanation:
Given equation :
[tex]x^{2} +0x-1[/tex] = 0
[tex]x^{2} -1 = 0\\x^{2} =1\\x=\sqrt{1}[/tex]
x= ±1
x= 1 and x= -1
±1 lies in solution set of real numbers !
Which net folds into the rectangular prism?
Answer:
the correct answer is the letter X
Step-by-step explanation:
because the shaded sides are between the two larger rectangles
I believe the answer your looking for is “X”
WILL GIVE BRAINLIEST!! PLEASE HELP ASAP !!!
The ceiling of Katie’s living room is a square that is 12 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 10 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answer:
The minimum number of rolls she should buy is 9 rolls
Step-by-step explanation:
* Lets study the information in the problem
- Katie wants to put the crepe paper around the perimeter of the
ceiling which shaped a square of side length 12 feet
- And also from each corner to the opposite corner
- She needs the length of the 4 sides of the square and the length
of its 2 diagonals
* Lets find the length of the diagonal of the square
∵ The two adjacent sides of the square formed two legs of a right
angle triangle and the diagonal joining the endpoints of the legs
is the hypotenuse of the triangle
- Use Pythagoras theorem to find the length of the diagonal
∴ The length of the diagonal = √(s² + s²) √(2s²) = s√2
∵ The length of the side of the square = 12 feet
∴ The length of the diagonal = 12√2
* Now lets find the length of the crepe papers she needs
∵ She needs the length of the 4 sides of the square and the length
of its 2 diagonals
∴ The length of crepe papers = 12 + 12 + 12 + 12 + 12√2 + 12√2 = 81.94 feet
∵ Each roll of the crepe papers contain 10 feet
- To find the number of rolls divide the length of the crepe papers by 10
∴ The number of rolls = 81.94 ÷ 10 = 8.194
* She must to buy 9 rolls to have enough crepe papers to decorate
her ceiling
* V.I.N:
- If she decide to buy 8 rolls, some part of ceiling will not decorate
because the 8 rolls have 80 feet only and she needs 81.94 feet
What is sin 74° someone please help!!!!
Answer:
24/25
Step-by-step explanation:
because of sinФ you use the opposite/hypotenuse to get 24/25
The value of sin 74° in the given question is 24 / 25.
What is the sine angle?The sine of an angle in a right angled triangle is the ratio of side opposite to the angle and the hypotenuse of the triangle.
In the given question:
Side opposite to 74° angle = 24
Hypotenuse of the triangle = 25
sin(74) = Perpendicular / Hypotenuse
sin(74) = 24 / 25
Hence, the value of sin74 is 24/25.
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Help with these problems
Answer:
1- D 2-A
number one: you multiply all the numbers together...
number two: you add the numbers together and i got A because if you add it all up, it is 42.593 and that is greater than 42.537.
hope dis helps! :p
a car drives 52 km at a speed of 13km/h. how long does the journey take
Answer:
The journey took 4 hours.
Step-by-step explanation:
The relationship between distance, speed, and time is expressed in the formula;
[tex]Speed=\frac{Distance}{Time}[/tex]
The car covered 52 km at a speed of 13km/h.
This means that; distance =52km and speed =13km/h
We substitute the given values into the formula to get;
[tex]13=\frac{52}{Time}[/tex]
[tex]Time=\frac{52}{13}[/tex]
This simplifies to:
[tex]Time=4hrs[/tex]
The journey took 4 hours.
The speed is the ratio of distance to time. Then the time taken by the journey is 4 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Then the time is given as
[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]
A car drives 52 km at a speed of 13km/h.
Then the time taken will be given as
[tex]\rm Time = \dfrac{52}{13} \\\\ Time = 4[/tex]
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This shouldn't be too difficult i just don't know what i'm doing please help
Write the expression below as a function of cos only.
sin²x/1+cos x
Answer:
[tex]\frac{1-cos^2x}{1+cosx}[/tex]
Step-by-step explanation:
We are given the expression
[tex]\frac{sin^2x}{1+cosx}[/tex]
We can use the Pythagorean identity of [tex]sin^2x+cos^2x=1[/tex] when solved for [tex]sin^2x=1-cos^2x[/tex]
Now we can substitute in our identity for [tex]sin^2x[/tex]
[tex]\frac{1-cos^2x}{1+cosx}[/tex]
The radius of circle L is 16 cm.
What is the length of its diameter?
A. 8 cm
B. 16 cm
C. 32 cm
D. 64 cm
Answer:
Diameter = 2*Radius
So, 2*16cm = 32cm
The answer is 32. I hope this helps!
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial must be added to it to obtain a first degree polynomial?
Answer:
1. 21x⁴+3y-35x² + 41
2. -21x⁴-3y+6x² + x
Step-by-step explanation:
When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.
1. The polynomial is 21x⁴ + 3y -6x² + 34
To obtain polynomial 29x² -7 , we must subtract some polynomial from it.
Let that polynomial be k.
So, 21x⁴ + 3y -6x² + 34 - k = 29x² -7
k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41
2. To obtain a first degree polynomial, let that polynomial be x +34
So, 21x⁴ + 3y - 6x² + 34 + K = x + 34
K = x + 34 - 21x⁴ -3y + 6x² - 34
= -21x⁴ - 3y + 6x² + x
If 5 potatoes together have a mass of 1 kilometer and 8 pears together have a mass of 1,200 grams, which has the greater mass a potato or a pear? Explain.
____________________________________________________
Answer:
The Potato has a greater mass.
____________________________________________________
Step-by-step explanation:
In order to see which one of them has the greater mass, we're going to need to figure out how much one of them weigh.
Lets get the key information from the question:
5 potatoes = 1 kilograms (kg)
8 pears = 1,200 grams (g)
With the information above, we can solve the problem.
1 Kilogram = 1000 grams
With that information, we know that 5 potatoes would equal 1000 grams, now we would need to divide 1000 by 5 to get the grams for one potato in order to find the mass of it.
[tex]1000 \div 5=200[/tex]
1 Potato = 200 grams
Now, we would need to divide 1,200 by 8 to find the mass of 1 pear.
[tex]1200 \div 8=150[/tex]
1 Pear = 150 grams
With the information we have now, we would know that the Potato has the greater mass than the pear.
A potato has a greater mass.
____________________________________________________