Solve by completing the square
Answer:
X¹=-11; X²=3
x ^ 2 + 8x - 33 = o
x ^ 2 + 11x - 3x - 33 = 0
x(x + 11) - 3(x + 11) = 0
(x + 11)(x - 3) = 0
Roderick has a dog that has a mass of 9 kilograms what is the mass of the dog in grams
Answer:
9000 grams
Step-by-step explanation:
multiply the mass value by 1000
5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
A 20.4 units
B 8.9 units
C 14.4 units
D 11.7 units
Answer: C
Step-by-step explanation:
the equation for X is
[tex]\frac{2+x}{2} =\frac{8}{1}[/tex] use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
How to write the slope intercept equation for points of (6,0) and (0,-5)?
Answer:
[tex]y=\frac{5}{6} x -5[/tex]
Step-by-step explanation:
Hi there!
We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope of the line
The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the points to avoid confusion
[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]
Now substitute these values into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5-0}{0-6}[/tex]
Subtract
m=[tex]\frac{-5}{-6}[/tex]
Simplify
m=[tex]\frac{5}{6}[/tex]
The slope of the line is 5/6
Let's plug this value into the formula for the equation of the line in slope-intercept form.
We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]
Now we need to find b
As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.
One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0
The value of b is the value of y in this point, which is -5 in this case.
Substitute -5 as b in the formula.
[tex]y=\frac{5}{6} x -5[/tex]
Hope this helps!
See more on this subject here (n.b. the answer uses a different way of solving): https://brainly.com/question/20891204
how can I be smart wear I don't need to cheat to get high grades
try your best
Step-by-step explanation:
Answer:
Study!
Step-by-step explanation:
Ben made a down payment of $4,000
Answer:
Step-by-step explanation:
Do you know the rest of the question, I can hopefully answer it!
rest of the question??!
2 pounds of zucchini for 4 servings
Answer:
One pound of zucchini equals about 4 cups grated zucchini;
Step-by-step explanation:
2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.
In 1995 there were 501 computer viruses reported. Since then, the viruses have been replicating at a
rate of 57% per year. How many viruses are projected for the year 2021?
Therefore, there are projected to be approximately 1541 computer viruses in the year 2021.
What is exponential growth?Exponential growth is a pattern of growth where a quantity grows at a constant percentage rate per unit of time. In other words, the rate of growth is proportional to the current value of the quantity. This type of growth is often seen in natural phenomena such as population growth, the spread of diseases, and the growth of financial investments. Exponential growth can be described mathematically by an exponential function of the form y = abˣ, where a is the initial value, b is the growth factor, and x is the time variable.
Here,
To solve this problem, we can use exponential growth formula:
A = P(1 + r)ˣ
where:
A = final amount
P = initial amount
r = growth rate
t = time (in years)
Let's first calculate the number of years from 1995 to 2021:
2021 - 1995 = 26 years
Using the given information, we can plug in the values into the formula:
A = 501(1 + 0.57)²⁶
A = 501(3.08)
A = 1540.68
Rounding to the nearest whole number, we get:
A ≈ 1541
To know more about exponential growth,
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#SPJ1
Click on the numbers that fit the description.
(Choose 4)
Answer:
6231
Step-by-step explanation:
Answer:
6,2,30,8 is the common factor of 18 and 30
Problem
* Henry has many different screwdrivers. Each screwdriver is 6 inches long. He wants to make a line of
screwdrivers that is 1 yard long. How many screwdrivers will Henry need?
Answer:
Henry will need 6 screwdrivers.
Answer:
Henry will need 6 screwdrivers.
Step-by-step explanation:
[tex]1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers[/tex]
huong spent $20.83 on a magazine and seven candy bars. If the magazine cost $4.94, then how much was each candy bar?
Answer:
$2.27
Step-by-step explanation:
Huong's expense is the sum of the cost of the magazine and the cost of 7 candy bars. If c represents the cost of a candy bar, then Huong's expense was ...
$4.94 +7c = $20.83
7c = $15.89 . . . . . . . . subtract 4.94
c = $2.27 . . . . . . . . divide by 7
Each candy bar was $2.27.
B. Solve the following. Write your solutions and final answers in your notebook.
1. To relieve her stress from work. Tina would always watch the fishes moves around her 90 cm wide, 70 cm high, and 45 cm long aquarium. If the aquarium is filled halfway through its height; how much volume of water is in it?
2. Elisha has a swimming pool in their house that measures 10 m long, 5 m wide and 1 m high. Approximately, how much will she be paying for the water supply of her swimming pool, if the water costs P27.25 per cubic liter?
3. Myla bought a jar shaped like a rectangular prism having a length of 130 cm, a width of 70 cm, and a height of 110 cm. How much water is needed to fill the jar?
4. A truck with dimensions 9 feet long, 7 feet wide, and 5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 945 cubic feet of sand?
5. Create a problem on volume and prepare a solution to your problem based on the figure below:
I need best answer please
The volume of water contained in this aquarium that is filled halfway through its height is equal to 141,750 cm³.
The volume of a right prism.Mathematically, the volume of a right prism is calculated by using this formula:
Volume = length × width × height
Given the following data:
Length = 45 cm.Width = 90 cm.Height = 70 cm.Based on the information, the aquarium is filled halfway through its height. Thus, the height of water is given by:
H = 70 × 0.5
H = 35 cm.
Substituting the parameters into the formula, we have;
Volume = 45 × 90 × 35
Volume = 141,750 cm³.
How to calculate the volume?Mathematically, the volume of Elisha's swimming pool is given by:
Volume = length × width × height
Volume = 10 × 5 × 1
Volume = 50 m³.
Now, we can calculate the cost of water supply:
Cost = 27.25 × 50 × 10³
Cost = P1,362,500.
How to calculate the volume of water.Mathematically, the volume of a rectangular prism is given by this formula:
Volume = length × width × height
Volume = 130 × 70 × 110
Volume = 1,001,000 cm³.
How to calculate the number of trips.Firs of all, we would determine the volume of this truck:
Volume = length × width × height
Volume = 9 × 7 × 5
Volume = 315 ft³.
Now, we can calculate the number of trips:
Number of trips = 945/315
Number of trips = 3 trips.
Read more on rectangular prism here: brainly.com/question/3867601
What is the inverse of 2x-3?
Step-by-step explanation:
the inverse of 2x-3 is
[tex] \frac{1}{2x - 3} [/tex]
if this helped pls give brainliest
the volume of this is cone 923.16 cm what is the radius of this cone
Hey there!
[tex] \rightarrow \sf{ r = \sqrt{3 \frac{v}{\pi \ h} }} \: \rm{or} \: \sf{v = \frac{1}{3} \pi \: {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{923.16 = \frac{1}{3} (3.14) {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{\: 1.046667 {hr}^{2} =923.16}[/tex]
[tex] \rightarrow \sf{ \frac{1.046667 {hr}^{2} }{1.046667} = \frac{923.16}{1.046667} }[/tex]
[tex] \rightarrow \: \sf{ {r}^{2} = \frac{923.16}{1.046667h}}[/tex]
[tex] \rightarrow \: \sf{ r = \sqrt{ \frac{923.16}{1.046667h}}}[/tex]
Use the graph or table to find the equation that represents the relationship.
Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
What is the Equation that Represents a Linear Graph?If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.
The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.
We would find the following:
Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
Learn more about linear equation on:
https://brainly.com/question/15602982
Answer:
Here you go
Step-by-step explanation:
Just use a slope calculator
Lisa, Kim and Bridget flew total of 7800 miles on Southwest airlines last year. Lisa flew 1500 miles. Kim flew 2200 miles. How many miles did Bridget fly?
Answer:
Bridget flew 4100 miles.
Step-by-step explanation:
L + K + B = 7800
1500+2200+B=7800
3700 + B = 7800
Subtract 3700.
B = 4100
Bridget flew 4100 miles.
Please help I'll mark brainliest
Answer:
Athletes swim 3/20 kilometer for every kilometer they run.
Step-by-step explanation:
3/20 = .15
multiply 10 by 3/20
10 * .15 = 1.5
Answer:
3/20 kilometers for every kilometer ran
Step-by-step explanation:
divide
The equation w = 20n models the total weight of honey, w, in
pounds that a beekeeper expects to collect from n hives.
a. Graph the relationship modeled by the equation. Include a
title on each axis.
b. How does the graph show the expected rate of pounds of
honey per hive? How is this rate related to the equation?
The graph of the weight function w = 20n is an illustration of linear equations
The expected weight of honey per hive is 20 pounds
The graph of the modelThe equation of the model is given as:
w = 20n
To plot the graph, we use the following representations
n is plotted on the horizontal axisw is plotted on the vertical axisSee attachment for the graph of w = 20n
Interpret the graphThe graph shows that:
As the number of hives increases, the weight of honey increasesThe expected weight of honey per hive is 20 poundsRead more about linear equations at:
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due in 1 hour
screenshot below
Answer:
True I'm pretty sure. Just check to be sure.
Step-by-step explanation:
To the nearest hundredth, what is the value of x? 45 53° O 59.72 O 56.35 35.94 O 27.08
Answer:
Step-by-step explanation:
[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]
Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.
(x + 3)(x – 1)(x + 5)
(x – 5)(x + 3)(x – 1)
(x – 5)(x + 1)(x + 3)
(x + 5)(x + 3)(x + 1)
Step-by-step explanation:
please mark me as brainlest
Which is the graph of 25x2 + 4y2 = 100?
Answer:
nasa pic yung answer
Step-by-step explanation:
hope its help
correct me if im wrong
calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Step-by-step explanation:
Ratio of cakes baked by Calvin and Susie = 3 : 7
Cakes baked by Calvin = 3x
Cakes baked by Susie = 7x
Cakes baked by Calvin = Cakes baked by Susie - 60
3x = 7x - 60
7x - 60 = 3x
7x = 3x + 60
7x - 3x = 60
4x = 60
x = 60/4
x = 15
Cakes baked by Calvin = 3*15 = 45
Cakes baked by Susie = 7 *15 = 105
Total cakes baked = 45 + 105 = 150
They both baked 150 cakes altogether.
Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation
Answer:
[tex](-\infty,\frac{25}{24}][/tex]
Step-by-step explanation:
Assuming [tex]i[/tex] is a variable:
[tex]4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}][/tex]
Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.
a) Find the 95% confidence interval for the proportion of smokers that have been divorced.
b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.
c) What do the results above indicate about smoking and divorce?
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
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(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
There are 12 girls and 16 boys . What is the largest number in each group?
Answer:
Step-by-step explanation:
The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups
Given:
Number of girls = 12
Number of boys = 16
Find the highest common factor of 12 and 16
12 = 1, 2, 4
18 = 1, 2,4
The highest common factor of 12 and 16 is 4
Number of girls in each group = 12/4
= 3 girls
Number of boy in each group = 18/4
= 4.5 boys=5
Therefore, the group can be split into 4 groups to have 3 girls and 5 boys in each group
Find LP in parallelogram LMNQ.
Answer: im pretty sure its 29 degrees .
Step-by-step explanation: your welcome <3
the question is below please help by monday
Help picture below problem 12