The image of image of the point [tex](-7,-3)[/tex] after a rotation of [tex]180[/tex] degrees counterclockwise is [tex](7,3)[/tex]
According to the question statement, point [tex](-7,-3)[/tex] is rotated by [tex]180[/tex] degrees counterclockwise, we are supposed to find out the image of the point after the rotation.
Point [tex](-7,-3)[/tex] lies in the Third quadrant of the Cartesian Plane.
When it will be rotated by [tex]180[/tex] degrees counterclockwise, it will shift to the first quadrant of the Cartesian Plane.
Therefore the coordinates will become as [tex](7,3)[/tex].
Cartesian Plane: The cartesian plane is defined as a two-dimensional coordinate plane that is made or formed by the intersection of the x-axis and y-axis or horizontal and vertical axes.To learn more about coordinates and plane, click on the link given below:
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Solve for g.
G+1/ 2=2
Answe
G=1.5
Step-by-step explanation:
Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+
Answer:
x + 8 = 53
Step-by-step explanation:
x + 8 = 53
8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.
to solve isolate x by subtracting 8 from both side so:
x = 53-8
x = 45
IV. Are these ratios equivalent? 12 birds to 60 animals 17 birds to 85 animals Yes No
Answer:
True
Step-by-step explanation:
Both fractions simplify to 1/5 and thus are equivalent
The Formula A = 1/2BH can be used to find the area of a triangle. Solve the formula for H, and use your equation to find the height of a triangle with an 90 Cm2 and a base of 15 cm.
can someone help me solve it and figure out how to solve it
Answer: H=2A/B
H=12 cm
Step-by-step explanation:
A = 1/2BH
2A=BH
H=2A/B
H=2(90)/15
H=180/15
H=12 cm
The height of the triangle is 12 cm.
To solve the formula A = (1/2)BH for H, we need to isolate the variable H.
A = (1/2)BH
Multiply both sides of the equation by 2 to eliminate the fraction:
2A = BH
To solve for H, divide both sides of the equation by B:
H = 2A / B
Now we have the formula for H in terms of A and B.
To find the height of a triangle with an area of 90 cm² and a base of 15 cm, we can substitute these values into the formula:
H = 2(90) / 15
H = 180 / 15
H = 12 cm
Therefore, the height of the triangle is 12 cm.
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Help me pls I'm dying rn
a) The greatest common factor is 3. And the result is 3 × (6 + 7).
b) The greatest common factor is 7. And the result is 7 × (8 + 5).
What is the factor form of the sum of two integers?In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.
First, we proceed to determine the required results for each of the two cases:
18 = 2 × 3 × 3
21 = 3 × 7
Then, the greatest common factor is 3. The complete procedure is:
18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)
56 = 2³ × 7
35 = 5 × 7
Then, the greatest common factor is 7. The complete procedure is:
56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)
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n=.1515
You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.
Answer:
the answer is two because ur multiplying hope this helps
f(x) = 7_4z
20
What is the value of f (6).?
0-0
10
10
5
O
O
15
Answer:
f(6) = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
substitute x = 6 into f(x)
f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
find the value of x
Answer:
102°
Step-by-step explanation:
540° ÷ 5 = 108° (sum of angles in a 5-sided figure = 540°)
360° ÷ 4 = 90° (sum of angles in a square = 360°)
180° ÷ 3 = 60° (sun of angles in a triangle = 180°)
360° - 108° - 90° - 60° = 102° (angles at a point add up to 360°)
x = 102°
(Do note that dividing the sum of angles by the number of sides is only applicable if all sides are equal.)
Hope this helps! ^^
The heights of all the newborns in a certain country are normally distributed,
with a mean of 18 inches and a standard deviation of 1 inch. A mother just
delivered a baby that is 16 inches long. Which of the following represents the
z-score of the baby's height? (Round your answer to two decimal places.)
The z-score of the baby's height is -2.0.
The baby's height (x) is 16 inches.A determined "center" value of a group of numbers, the arithmetic mean, is the average of the values.The mean of the heights of all the newborns in the country (µ) is 18 inches.The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.The standard deviation of the heights of all the newborns in the country (σ) is 18 inches.The z-score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed.Let the z-score be denoted by "z".z = (x-µ)/σz = (16-18)/1z = -2To learn more about standard deviation, visit :
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f(x) = 2x - 4
f(3) = [?]
Answer: f(3)=2
Step-by-step explanation:
f(x) = 2x - 4
f(3) =2(3) - 4
f(3) = 6-4
f(3)=2
Ride tickets at the fair can be bought in
packs of 5 tickets for $8.75 or 3 tickets for
$6.25. Simone wants to buy 15 tickets. At
these rates, how much more will she spend
if she only buys packs of 3 tickets?
She will spend 5 dollars extra if she only buys packs of 3 tickets.
What is a numerical expression?A numerical expression is written in form of numbers and their operations.
According to the given question we can buy 15 tickets in two ways either buying 5 packs which contain 3 tickets and cost 6.25 dollars each pack or we can buy 3 packs which contain 5 tickets which costs 8.75 dollars.
For the first case if we buy 5 packs of tickets that contain 3 tickets it will cost (5×6.25) dollars = 31.25 dollars.
In the second case buying 3 packs of tickets that contain 5 tickets that will cost us (3×8.75) = 26.25 dollars.
∴ She will spend (31.25 - 26.25) = 5 dollars she will spend extra if she only buys packs of 3 tickets.
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(2 x 10³) x (4 x 106)
Answer: 848000
Step-by-step explanation:
(2 x 10³) x (4 x 106)
⇒2000 * 424
⇒ 848000
Q. You work for a food wholesaler that provides ingredients for restaurants and other food
producers. A large-scale bakery needs 72 pounds of raisins. The raisins come in 12-ounce
boxes. A total of 24 boxes will fit in a case. How many cases of raisins should you ship to
them?
The cases that would be shipped is 4.
How many cases would be shipped?The first step is to convert pounds to ounce
1 pound = 16 ounce
16 x 72 = 1152 ounces
The next step is to determine how many boxes would be needed.
Boxes needed = 1152 / 12 = 96 boxes
The third step is to determine the number of cases that would be shipped.
Cases that would be shipped = 96 /24 = 4
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The length of a bacterial cell is about 5 x 10 ^−6 m, and the length of an amoeba cell is about 3.5 x 10 ^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 10 ^1
7 x 10 ^1
143 x 10 ^1
7 x 10 ^3
Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?
Answer: Sam was 2.5 Km far from his house
Step-by-step explanation:
Sam's parents gave him a map to reach his house.
As per Map Sam was =1.5cm from his home.
To find actual distance from house
If we consider actual distance of sam house =X
We have,
If each 3 cm on scale drawing equals 5 km
We know on map 3cm = 5Km
If 1.5 cm = X Km
We need to cross multiple
3X =1.5 × 5
3X = 7.5
X= 7.5÷3
X= 2.5 Km
Sam was 2.5 Km far from his house.
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let f(x)= |x-4| +1. write a function g whose graph is a vertical shrink of the graph of f by a factor of 1/3
The function g(x) is (|x-4| +1)/3.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The graph is compressed vertically, or shrunk, in the direction of the x-axis. If k > 1, the graph of y = k*f (x) is the graph of f (x) that has had each of its y-coordinates extended vertically by the factor k.The function f(x) is defined as |x-4| +1. To vertically shrink the graph of f(x) by a factor of 3, divide the function by 3.g(x) = f(x)/3g(x) is equal to (|x-4| +1)/3.To learn more about functions, visit :
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7. Kiara baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her
friends at school. She wants to divide the cookies into identical containers so that each container has the same
number of each kind of cookie. If she wants to have the greatest number of containers possible, how many
containers does she need? How many oatmeal and chocolate chip cookies will be in each container?
The greatest possible containers required by Kiara is 4.
The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.
What is defined as the highest common factor?The highest common factor, or HCF, is the greatest number that divides each of two or more numbers.HCF is also recognised as the Greatest Common Measure (GCM) and the Greatest Common Divisor (GCD) .For the given question;
The total number of oatmeal cookies = 12.
The total number of chocolate chip cookies = 16.
Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).
HCF = 4.
Thus, the number of boxes requires is 4.
The oat place in one box is 3. In 4 boxes it will be 12.
Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.
Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.
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Kayla has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6.
What is the probability Kayla rolls an even number on the red cube and a multiple of 3 on the blue cube?
So probability that kayla rolls an even number on the red cube and a multiple of 3 on the blue cube is 16.66 ≈ 16%
Given that we have red number cube and blue number cube so as we all know that Probability is the ratio of the favourable number of outcomes to the total number of outcomes is known as Probability.
First, find the possible outcomes.
Kalya has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6
So, possible outcomes =6×6 =36
Let, S be the sample space.
Then, ⁿ(s) =36
Let, E = the event of getting an even number on the red cube and a multiple of on the blue cube.
E = (2,3),(2,6),(4,3),(6,3),(6,6)
Then, ⁿ(E)=6
Let, P is the probability of the event .
So, P(E)= [tex]\frac{n(E)}{n(S)}[/tex] = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex] = 16.67 percent or 16[tex]\frac{2}{3}[/tex] %
Thus, the probability Kayla rolls an even number on the red cube and a multiple of on the blue cube is 16.66 percent.
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Answer:
16%
Step-by-step explanation:
Graph the image of △RST after a reflection over the line y=x.
Answer:
Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down
Step-by-step explanation:
Simplify to create an equivalent expression.
−
5
(
1
−
5
k
)
−
4
(
2
k
+
5
)
Answer:
Step-by-step explanation:
1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20
2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.
-13k+5
That should be right!
Sandra bought 4 bars of chocolate and a packet of nuts for $11.50. If a bar of chocolate costs $0.50 less than a packet of nuts, find the cost of a packet of nuts
Answer:
A packet of nuts costs $2.70
Step-by-step explanation:
Let C represent the cost of a bar of chocolate and P represent the cost of a packet of nuts
4 bars of chocolate will cost $4C
1 packet of nuts costs $P
Total price Sandra paid is $11.50
This can be represented using
4C + P = 11.50 (1)
A bar of chocolate costs $0.50 less than a packet of nuts. So
P - C =0.50
-C + P = 0.50 (2)
Multiply eq (2) by 4 to get
-4C + 4P = 4 x 0.50
-4C + 4P = 2 (3)
Add equations (1) and (3) to eliminate the 4C term
4C + P - 4C + 4P = 11.50 + 2
P+4P = 13.50
5P = 13.50
Dividing by 5 on both sides
5P/5 = 13.50/5
P = 2.70
So a packet of nuts costs $2.70 (Answer)
To verify this is correct,
Use equation (2) to get
-C + P = 0.50
-C + 2.70 = 0.50
Add C to both sides
-C + 2.70 + C = 0.50 + C
2.70 = 0.50 + C
Subtract 0.50 from both sides
2.70-0.50 = 0.50 + C - 0.50
2.20 = C which is C= 2.20
Plug this value into equation (1)
4(2.20) + 2.70 = 8.80 + 2.70 = 11.50
So verified that answers are correct
8 A geometric sequence has all
positive terms. The sum of the
first two terms is 15 and the sum
to infinity is 27.
a
Find the value of the common
ratio.
b Hence, find the first term.
Let the terms be a, ar, ar², ...
The sum to infinity being 27 means that:
[tex]\frac{a}{1-r}=27 \implies a=27(1-r)[/tex]
The sum of the first two terms being 15 means:
[tex]a+ar=15 \\ \\ (27-27r)+r(27-27r)=15 \\ \\ 27-27r+27r-27r^2 =15 \\ \\ 27r^2 -12=0 \\ \\ 27r^2 =12 \\ \\ r^2=\frac{12}{27}[/tex]
Since all the terms are positive, r>0.
[tex]\boxed{r=\frac{2}{3}} \\ \\ \implies a=27\left(1-\frac{2}{3} \right)=\boxed{9}[/tex]
a car rent is $250 per week plus $0.1 per mile. Find the rental cost for a three week trip of 800 miles.
Answer:
$258
Step-by-step explanation:
y = mx + b
m is the miles and y is the total cost
y = .1(800) + 250
y = 8 + 250
y = 258
HELP!!
What is the limit of the function in the graph at x=4
Greetings from Brasil...
Checking the side limits of the function f(x), we find that they are equal, so there is a limit of f(x) as x approaches 4
check the attachment
find the midpoint of a line segment with endpoints A(-5,5) and B(2,-5)
Answer:
(-1.5,0)
Step-by-step explanation:
Find the average for the x and y values.
x = [tex]\frac{(-5+ 2)}{2}[/tex] = [tex]\frac{-3}{2}[/tex] or -1.5
y = [tex]\frac{(5- 5)}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Question 3 (1 point)
Solve the following equation for x
X=
Blank 1:
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4 (x5)-8 (8 + x) = -64 Pls answer quick
Answer: -72 I think
Step-by-step explanation:
the scale from a square park to a drawing is 5 m to 1 cm .the actual park has an area of 1600 m2 .what is the area of the drawing of the park
The area of the drawing of the park is 64 cm²;
Scale: Square park to Drawing = 5m:1cm
= 5m:0.01m;
Therefore; Square Park Area = 1600m²;
Drawing Area = 1600 ×(0.01/5)²
= 0.0064m² = 64 cm²
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What basic fact can you use to help you solve 500 × 4
Answer:
500 x 4
500 x 4
5 x 4 =
20
Add the two 00's from 500.
You get 2,000.
Step-by-step explanation:
Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.
Hope this helps.
Answer:2,000
Step-by-step explanation:
500x4
take the zeros
5x4=20
then add the zeros
it will be 2,000
Biking Tri
Maureen went on a 3 day, 59 mile biking trip. The first day she biked 15.5 miles. The second day she
biked 21.9 miles. How many miles did she bike on the 3rd day ?
Answer:
21.6 miles
Step-by-step explanation:
59-15.5-21.9= 21.6
or
21.6+15.5+21.9= 59
Help please im stuck
Answer: 7.2 hours
Step-by-step explanation:
the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4
and 2.4 x 3 = 7.2
First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.
