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
If a spinner is spun 5 times then each event is independent
True or false?
Answer:
True
Step-by-step explanation:
Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.
The answer is true
Hope this helped
What is an equivalent expression to x^-3
Answer:
1
---------
x^3
Step-by-step explanation:
The proper way to write this is with parentheses: x^(-3).
If you wish to eliminate the negative exponent, rewrite this x^(-3) as
1
---------
x^3
Who can help me out with this please
Answer:
a.) 14:6
b.) 6:8
Hope this helped!
Step-by-step explanation:
Answer:
see rexplanation
Step-by-step explanation:
A
There are a total of 14 marbles of which 8 are red and 6 are blue
ratio of all : blue = 14 : 6 = 7 : 3 ← in simplest form
B
ratio of blue : red = 6 : 8 = 3 : 4 ← in simplest form
can u plz help i need the unser right now!!
Answer:
C
Step-by-step explanation:
Solving the inequality
[tex]\frac{1}{2}[/tex] x - 2 > 0 ( add 2 to both sides )
[tex]\frac{1}{2}[/tex] x > 2 ( multiply both sides by 2 )
x > 4
Since greater than 4 we want a number line with an open circle at 4, indicating x is not equal to 4 and arrow pointing to the right.
Hence C
A circle has a radius of 16cm. Find the area of a shaded sector formed by a central
i believe its 803.84
Gracie baked 4 apple pies. She cuts the pies into halves and will give them to her neighbors. How many neighbors will get 1/2 of an Apple pie?
Answer:
8
Step-by-step explanation:
If you cut one apple pie in half, then you have two halves. Do the same with the other 3 pies and you will have 8 halves of the pie to give to neighbors.
what is the area of the regular octagon below? 9m
a). 114.5m
b). 229.1m
c). 391.1m
d). 458.m
Answer:
No diagram and no explanation what 9 is.
However, if it is an octagon with each side equal to 9 then
area = (# of sides * side^2) / (4 * tan (180 # of sides))
area = 8 * 9 * 9 / (4* tan (180 / 8)
area = 648 / 4 * 0.41421
area = 391.1059607446
answer is C
Step-by-step explanation:
The area of the considered octagon which has distance from its center to the vertex of 9 m is given by: Option b). 229.1 m²
How to find the area of a regular octagon?If the regular octagon has sides of 'a' units, then its area is:
[tex]A = 2(1+\sqrt{2})a^2 \: \rm unit^2[/tex]
Consider the attached figure below (second figure too).
If we find the value of 'a', then we can use the above formula.
Since there are 8 equal sides in a regular octagon, the angle from center to each of the side is full angle / 8 = 360/8 = 45 degrees.
Since the angle OA is perpendicular on BC, due to symmetry, we have the angle BOC divided into 2 parts.
Thus, we get:
m∠AOB = 45/2 degrees = 22.5°
Using the sine ratio from the perspective of angle AOB, we get:
[tex]\sin(m\angle AOB) = \dfrac{|AB|}{|OB|}\\\\\sin(22.5^\circ) = \dfrac{a/2}{9}\\\\a \approx 2 \times 9 \times 0.38268 \approx 6.888[/tex] meters
(since length of AB is half of length of BC, which is 'a' units).
Thus, we get:
[tex]A = 2(1+\sqrt{2})a^2 \approx 2(1+\sqrt{2})(6.888)^2 \approx 229.1\: \rm m^2[/tex]
Thus, the area of the considered octagon which has distance from its center to the vertex of 9 m is given by: Option b). 229.1 m²
Learn more about area of a regular octagon here:
https://brainly.com/question/858868
Write the equation of the line with slope 4 through the point (-2, 5)
Answer:
y=4x+13 or y-5=4(x+2)
Step-by-step explanation:
we know that
The equation of the line into point slope form is equal to
y-y1=m(x-x1)
In this problem we have
m=4
(x1,y1)=(-2,5)
substitute
y-5=4(x+2) ----> equation of the line into point slope form
Convert to slope intercept form
y-5=4x+8
y=4x+8+5
y=4x+13 ----> equation of the line into slope intercept form
Please explain your answer. Thank you!!
Answer:
(A) 180
Step-by-step explanation:
We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).
So, how many ways to pick 2 guards from a selection of 4? The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side). So, it's a pure combination calculation:
[tex]C(4,2) = \frac{4!}{2! * (4 - 2)!} = \frac{24}{2 * 2} = 6[/tex]
C(4,2) = 6.
How many ways to pick the 2 forwards from a group of 5? Using the same calculation, we get:
C(5,2) = 10.
And of course, the coach has 3 ways to pick a center player from 3.
Then we multiply the possible ways to pick guards, forwards and center...
6 * 10 * 3 = 180 ways.
11. Kara's credit card had a balance of $209.53 on July
1. On July 8, she made a payment of $50. On July
16, she made a charge of $20. On July 24, she
made another charge of $35 and did not use the
credit card the rest of the month. What was her
average daily balance?
$159.53
$179.53
$214.53
$190.18
$190.78
190.18 is the average balance
Answer:
The answer is $190.18
Step-by-step explanation:
When we calculate the average daily balance, we total the balance from each day in the billing cycle and divide the total by the number of days in the cycle. Here the billing cycle is given for July that has 31 days.
Lets calculate each days amount.
Opening balance from 1st July to 7th July = $209.53
So, it is a total of 7 days; amount is [tex]209.53\times7=1466.71[/tex]
On 8th July a payment of $50 is made making the amount
[tex]209.53-50=159.53[/tex]
So, from 8th July to 15th July (8 days), the balance was $159.53 making a total of [tex]159.53\times8=1276.24[/tex] dollars
On 16th July a charge of $20 was added, so from 16th July to 23 July (8 days), the amount became = [tex](159.53+20)\times8=1436.24[/tex] dollars
On 24th July additional charge of $35 was added and the period it remained same was till 31st July, making it 8 days.
So, amount is = [tex]214.53\times8=1716.24[/tex] dollars
Now adding all the charges we get;
[tex]1466.71+1276.24+1436.24+1716.24= 5895.43[/tex] dollars
Now we will divide this by 31 days to get the average daily balance.
[tex]\frac{5895.43}{31}=190.175[/tex] ≈ $190.18
If the number of bacteria in a colony doubles every 25 hours and there is currently a population of 10,000 bacteria, what will the population be 75 hours from now
Answer:
The population of 75 hours from now would be 40,000.
Step-by-step explanation:
The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.
The population of a bacterial colony that doubles every 25 hours will increase exponentially. In this case, starting from a population of 10,000 bacteria, after 75 hours, we will have 80,000 bacteria. This demonstrates the concept of exponential growth commonly seen in bacteria.
Explanation:The population of a bacterial colony that doubles every 25 hours follows an exponential growth model. This process is where the increasing rate is proportional to the current scope, leading to continued growth. If we start with a colony of 10,000, after 25 hours, we will have 20,000 bacteria. After another 25 hours, this will double again to 40,000. And after a final 25 hours, we double the number again to 80,000.
Here are the calculations:
After 25 hours, the number of bacteria doubles, so the population is 10,000 * 2 = 20,000 bacteriaAfter another 25 hours (50 hours total), the number of bacteria doubles again, so we have 20,000 * 2 = 40,000 bacteriaAfter the final 25 hours (75 hours total), the number of bacteria doubles once more, so we end up with 40,000 * 2 = 80,000 bacteriaThis demonstrates the concept of exponential growth commonly seen in the bacteria populations. The growth rate increases over time due to the characteristic of bacteria to divide and reproduce, leading to a rapid increase in their numbers.
Learn more about Exponential Growth here:https://brainly.com/question/12490064
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Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1,000 miles will she walk in the year? A. 95 miles more B. 33 miles less C. 33 miles more D. 95 miles less
Answer:
95 miles more.
Step-by-step explanation:
There are 365 days in the normal year.
Walking 3 miles daily for a year thus comes to (3 miles/day)(365 days) =
1095 miles total per year. This is Answer A: 95 miles more than 1000 miles.
Answer:
95 miles
Step-by-step explanation:
Which is a negatively skewed distribution?
Answer:
Option D) This plot shows a negatively skewed data
Step-by-step explanation:
We are given the four distributions.
We have to find those which are negatively skewed.
Negatively Skewed Distribution:
A negatively skewed also known as left-skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution while the left tail of the distribution graph is longer.Mode > Median > MeanA) The given plot shows a normal distribution as the maximum values lie around the mean.
B) The given histogram shows a normal distribution as the maximum values lie around the mean.
C) The given box and whisker plot shows a positively skewed data due to tail on the right side.
D) This plot shows a negatively skewed data as most of the data lies on the right side and a tail could be seen on left side due to less data on left side.
What is the price of one pound of strawberries
Answer:
$3
Step-by-step explanation:
4 / 12 = 3
Answer:
3
Step-by-step explanation:
You Divide $12.00 / 4 And Get You Answer As 3 :)
A chef has 6 cups of berries and will use 2/3 cups of berries for each serving of fruit salad how many servings can be made
Answer:
6*2/3 = 12/3 = 4
Step-by-step explanation:
For this case we have a total of 6 cups of berries and per serving of salad we use [tex]\frac {2} {3}[/tex]of cups.
Let "x" be the variable that represents the portions of fruit salad that can be made, then, to find it we divide the number of cups of berries among the amount that is used for a portion:
[tex]x = \frac {6} {\frac {2} {3}} = \frac {6 * 3} {2 * 1} = \frac {18} {2} = 9[/tex]
Thus, 9 portions of salad can be prepared.
Answer:
9 portions
Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6
The linear equation -3y=x-6 can be graphed using the slope-intercept form y = -1/3x + 2. By choosing different values for x and solving for y, we can find three points that solve the equation. Plotting these points on a graph and connecting them with a line represents the linear equation.
Explanation:The linear equation -3y=x-6 can be rewritten in slope-intercept form as y = -1/3x + 2. This form allows us to easily determine the slope and y-intercept of the equation. The slope is -1/3, which means for every increase of 1 in x, y decreases by 1/3. The y-intercept is 2, which indicates that the line crosses the y-axis at the point (0, 2).
To find three points that solve the equation, we can choose different values for x and substitute them into the equation to solve for y. Let's choose x = 0, x = 3, and x = -3. Plugging these values into the equation, we get y = 2, y = 1, and y = 3, respectively.
Therefore, the three points that solve the equation are (0, 2), (3, 1), and (-3, 3). When we plot these points on a graph, we can then connect them with a straight line to represent the linear equation.
Graph the line y=-1/5x-2
Answer:
Can't really show a graph but I'll explain how to:
Step-by-step explanation:
Plot the point (0,-2) since -2 is the y=intercept. After, just count-down 1 unit and count 5 units to the right. I hoped this helped!
the company sells the ice cream cups in packages of 12, 18 and 24 units. and the ice cream cones in packages of 14 and 21 units which of the following statements is not true
Answer:
The statement which not true is (A)
Step-by-step explanation:
* At first lets revise the volume of the cone and the cylinder
- The cone has circular base and one vertex
- Its height is the line joining the vertex and the center of the base
- Its volume is 1/3(BH), where B is the area of its base and H is its height
- The cylinder has two circular bases
- Its height the line joining between the centers of the two bases
- Its volume = BH, where B is the area of its base and H is its height
* Now lets solve the problem
- The ice cream cup is shaped cylinder with diameter 3 inches
and height 3 inches
- The ice ream cone is shaped a cone with diameter 4 inches
and height 6 inches
* Lets find the volume of the ice cream cup
- The volume of the ice cream cup = BH
∵ B = πr² ⇒ area the circle
∵ Its diameter is 3 inches
∵ The radius = 1/2 the diameter
∴ r = 3 × 1/2 = 1.5 inches
∴ B = π(1.5)² = 2.25π inches²
∵ H = 3 inches
∴ V = 2.25 × 3 = 6.75π inches³
* Lets find the volume of the ice cream cone
- The volume of the ice cream cone =1/3 BH
∵ B = πr² ⇒ area the circle
∵ Its diameter is 4 inches
∵ The radius = 1/2 the diameter
∴ r = 4 × 1/2 = 2 inches
∴ B = π(2)² = 4π inches²
∵ H = 6 inches
∴ V = 1/3 × 4π × 6 = 8π inches³
* Lets find the right answer
# (A)
∵ The volume of 24-pack of ice ream cups = 24 × 6.75π = 162π inches³
∵ The volume of 21-pack of ice ream cones = 21 × 8π = 168π inches³
∵ 162π < 168π
∴ (A) Not true
# (B)
∵ The volume of 12-pack of ice ream cups = 12 × 6.75π = 254.5 inches³
∵ 254.5 inches³ > 250 inches³
∴ (B) is true
# (C)
∵ The volume of 14-pack of ice ream cons = 14 × 8π = 351.9 inches³
∵ 351.9 inches³ > 350 inches³
∴ (C) is true
# (D)
∵ The volume of 12-pack of ice ream cups = 12 × 6.75π = 81π inches³
∵ The cylinder container has height = 8 inches
∵ The cylinder container had diameter = 6 inches
∴ its raduis = 1/2 × 6 = 3
∵ The volume of the cylinder container = BH
∵ B = πr² = π(3)² = 9π
∴ Its volume = 9π × 8 = 72π
∵ 81π > 72π
∴ (D) is true
* The statement which not true is (A)
A rectangular room is 8 feet long and 12 feet wide. How many tiles would be needed to cover the floor if the tiles are six inches by six inches?
Answer: 192
Step-by-step explanation: 6 inches times 2 is a foot. 12 times 2 is 24 tiles across the top times 8 rows. 24 times 8 is 192
16
Because 8x12=96 and 96/6= 16
$4386 + 25% of the amount over $31850 1) 3986 2) 426.25 3) 4650 4) 7750
Answer:
3.)
Step-by-step explanation:
HELP PLEASE!!
What is the value of 18^2?
A) 36
B) 324
C) 360
D) 9
18² is the same as saying 18 * 18, which is 324
Arun Decided to walk 7 1/3 miles to his friend house . After he had gone 3 5/8 miles , he stopped to rest . How much farther does he have to walk to reach the friend house ?
Answer:
3.71 miles farther.
Step-by-step explanation:
To answer this, subtract 3 5/8 miles from 7 1/3 miles:
22/3 - 29/8 (miles)
Here the LCD is 24. Thus, we have:
176 87 89
------ - ------ (miles), or ------- (miles)
24 24 24
Arun has to walk another 89/24 miles, or 3.71 miles.
Check: do 3 5/8 miles and 3.71 miles add up to 7 1/3 miles? Yes, approximately.
Arun has 89/24 miles left to walk to reach his friend's house.
Arun decided to walk 7 1/3 miles to his friend's house. After walking 3 5/8 miles, he stopped to rest. To calculate how much farther Arun has to walk to reach his friend's house, we subtract the distance he has already walked from the total distance he needs to walk.
The total distance to his friend's house: 7 1/3 miles = 7 + 1/3 = (7 × 3 + 1)/3 = 22/3 miles.
Distance already walked: 3 5/8 miles = 3 + 5/8 = (3 × 8 + 5)/8 = 29/8 miles.
To find the remaining distance, we subtract 29/8 miles from 22/3 miles:
First, find a common denominator for the fractions, which is 24. Convert both fractions: 22/3 × 8/8 = 176/24 and 29/8 × 3/3 = 87/24.
Now subtract the distances: 176/24 - 87/24 = 89/24 miles.
Therefore, Arun has 89/24 miles left to walk to reach his friend's house.
Base your answer to the following question on the diagram shown and the given information.
Answer:
A
Step-by-step explanation:
1. Line l is cut by line a (let it be named a, because the figure doesn't show its name). Angles 1 and 6 are vertical, so they are congruent.
2. Line m is cut by line a. Angles 3 and 8 are vertical, so they are congruent.
3. Parallel lines l and m are cut by transversal a. Angles 6 and 3 are congruent as alternate interior angles.
Hence,
[tex]3x+25=4x-17,\\ \\3x-4x=-17-25,\\ \\-x=-42,\\ \\x=42^{\circ}.[/tex]
4. The measure of angle 6 is
[tex]3x+25=3\cdot 42+25=126+25=151^{\circ}.[/tex]
5. Angles 6 and 2 are supplementary angles, so they add up to 180°:
∠2=180°-∠6=180°-151°=29°
Erica has a monthly budget of $300 to spend on all of her expenses. She uses 2/3 on rent, and 1/4 on food. How much money remains for her expenses
Answer: $25
Step-by-step explanation: 2/3 of $300 is $200. 1/4 of $300 is $75. The total money she used is $275. $300-$275= $25.
Answer:
$75
Step-by-step explanation:
2/3 of 300 is 200 which means $100 bucks is left and 1/4 on food is $25 so what is left over is $75
PLEASE HELP!!!!
The table shows which color boys and girls from 8th grade picked as their favorite color
Answer:
It should be B I me
Step-by-step explanation:
To determine which percentage is higher, we need to calculate the percentage of boys who prefer green and the percentage of girls who prefer red.
Percentage of boys who prefer green:
Total number of boys = 2 + 4 + 4 + 5 = 15
Number of boys who prefer green = 5
Percentage of boys who prefer green = (5/15) x 100% = 33.33% (rounded to the nearest whole number, this is 33%)
Percentage of girls who prefer red:
Total number of girls = 4 + 3 + 1 + 3 = 11
Number of girls who prefer red = 4
Percentage of girls who prefer red = (4/11) x 100% = 36.36% (rounded to the nearest whole number, this is 36%)
Therefore, the percentage of girls who prefer red (36%) is higher than the percentage of boys who prefer green (33%).
The answer is B. At 36%, the percentage of girls who prefer red is higher.
Sharon suspects that her brother's penny is unfair. She flips it 50 times and heads comes up 40 times. Based on these trials, the probability that a flip of this coin comes up TAILS is A) 1/5 B) 4/5 C) 4/9 D (5/9)
The correct answer is B. 4/5. Hope this helps! : )
Answer:
1/5
Step-by-step explanation:
it said so in usa testprep and i hope this helps you! ^-^
what value of x makes this equation true? justify your solution.
6x + 12 = -6x + 12
Answer
0
Solution
6x+6x=12-12
12x=0
X=0
find the area. please show steps!
Answer:
96 in²
Step-by-step explanation:
The surface area of the square pyramid is the area of the square base plus the area of the four triangular faces. The slant length is the height of each triangle.
A = s² + 4 (½ sL)
A = s² + 2sL
Given s = 6 and L = 5:
A = (6)² + 2(6)(5)
A = 36 + 60
A = 96
The area that needs to be painted is 96 in².
The stores below each have the same snowboard for an original price of $189.59. At which store can you get the snowboard for the lowest price? Store A: Sale of 30% off and a successive discount of 10% off. Store B: Sale of 20% off and a successive discount of 20% off. Store C: Sale of 40% off.
Answer:
Snowboard can be purchased for the lowest price from Store C offering 40% discount.
Step-by-step explanation:
We need to compare discounts of 3 stores and find the store selling snowboard lowest of them.
Store A: Sale of 30% off and a successive discount of 10% off.
The formula used for successive discount is = (x+y - xy /100)%
here x= 30 and y =10 so total discount is:
Total discount = ( 30 +10 - (30*10)/100)%
= (40 - 300/100) %
= (40 -3) % = 37%
Original price = $189.59
Discount offered = 37% of $189.59
= 37/100 * 189.59 = $70.15
Selling Price = Original price - Discount offered
= $189.59 - $70.15
= $ 119.44
Store B: Sale of 20% off and a successive discount of 20% off.
The formula used for successive discount is = (x+y - xy /100)%
here x= 20 and y =20 so total discount is:
Total discount = ( 20 +20 - (20*20)/100)%
= (40 - 400/100) %
= (40 -4) % = 36%
Original price = $189.59
Discount offered = 36% of $189.59
= 36/100 * 189.59 = $68.25
Selling Price = Original price - Discount offered
= $189.59 - $68.25
= $ 121.34
Store C: Sale of 40% off.
Original price = $189.59
Discount offered = 40% of $189.59
= 40/100 * 189.59 = $75.84
Selling Price = Original price - Discount offered
= $189.59 - $75.84
= $ 113.75
So, Store A Sale price is: $ 119.44
Store B Sale price is: $ 121.34
and Store C Sale price is: $ 113.75
So, Comparing them we found that snowboard can be purchased for the lowest price from Store C offering 40% discount.
Answer:
store c
Step-by-step explanation:
A kitchen drawer has a Volume 1,125 cubic inches. The drawer is 15 inches long and 5 inches deep. What is the width of the drawer? Please show work so I can understand
Answer:
The width of the drawer is [tex]15\ in[/tex]
Step-by-step explanation:
we know that
The volume of the drawer is equal to
[tex]V=LWH[/tex]
we have
[tex]L=15\ in[/tex]
[tex]H=5\ in[/tex] -----> the deep of the drawer
[tex]V=1,125\ in^{3}[/tex]
substitute the given values in the formula and solve for W
[tex]1,125=(15)(W)(5)[/tex]
[tex]1,125=(75)(W)[/tex]
[tex]W=1,125/(75)[/tex]
[tex]W=15\ in[/tex]