As a result, we take the square root of the both sides since if two expressions are equal, then so are their square roots.
What is the definition of the square root?By multiplying the square root of a positive integer by oneself, the number is obtained. As an illustration, 5 is the square root of 25, since 5 × 5 equals 25. Since (5) (5) = 25, 5 is also the square root of 25 as you can see. The symbol, which is, is always used to indicate the square root of a number of a variable x.
Here,
In this case, we're using the square to solve a quadratic equation.
Never forget to use both the negative and positive roots of the equation and to square the values of both sides.
We can accomplish this because to the rule that states that if two expressions are comparable, then their square roots are also equivalent.
As a result, we take the square root of both sides since if two expressions are equal, then so are their square roots.
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The sides of a whiteboard are 16 inches by 10 inches. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whiteboard?
Answer:
40 Post-it notes
Step-by-step explanation:
10/2 = 5 on the side that measures 10"
16/2 = 8 on the side that measures 16"
5 x 8 = 40 post-it notes
Answer:
40
Step-by-step explanation
area of whiteboard is [tex]160 inches^{2}[/tex]
area of post it is [tex]4 inches ^{2}[/tex]
160/4 is 40 post it notes
What is the diameter of a sphere with a volume of 18174 ft^3 to the nearest tenth of a foot?
Answer:
Diameter = 33 feet
Step-by-step explanation:
Diameter = 2 x radius
Given that the volume = 18174 [tex]ft^{3}[/tex], then;
Volume of sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Thus,
18174 = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]r^{3}[/tex]
= [tex]\frac{88}{21}[/tex] [tex]r^{3}[/tex]
18174 x 21 = 88 [tex]r^{3}[/tex]
381654 = 88 [tex]r^{3}[/tex]
[tex]r^{3}[/tex] = [tex]\frac{381654}{88}[/tex]
= 4336.9773
r = [tex]\sqrt[3]{4336.9773}[/tex]
r = 16.3078
The diameter of the sphere = 2 x 16.3078
= 32.6156
= 33 feet
Find the slope of the line.
Answer:
-5/4
Step-by-step explanation:
slope(m)= y2-y1/x2-x1
from the graph 5-0/-2-2
=5/-4
answer = -5/4
PLEASE ANSWER ASAP NO LINKS OR WILL BE REPORTED! 3. The measure of side c is 100 inches. The measure of side a is 75 inches. What is the length of side b? SHOW ALL OF YOUR WORK Answer:
Answer:
66.14inches
Step-by-step explanation:
pyhtgreom therom
75^2+b^2 = 100^2
5625 + b^2 = 10,000
subtract both sides by 5625
b^2 = 4375
square root both sides
b = 66.14
What is arcsin(13/24)
Please help answer do in 30 minutes
The functions f(x) = (x + 5)^2 + 2 and g(x) = -(x − 3)^2−3 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.
Answer:
When the leading coefficient is positive, the graph opens up. It means the vertex is its minimum.
When the leading coefficient is negative, the its vertex is its maximum.
f(x) - vertex is minimumg(x) - vertex is maximumy
What is the equation of the circle shown in the graph?
v)2 +
10
8
61
4
2
X
18 8 6
2 4 6 8 10
-2
-6
-10
Answer:
(x+6)^2 + (y-4)^2=36
Step-by-step explanation:
E2020
Maya is a plumbing engineer who works with Overflo clients on residential plumbing and field draining and irrigation projects. Overflo closely supervises all of its engineers, and dictates their work schedules. Noel works part-time in the evenings cleaning the offices and warehouse. To Noel is Overflo's:_____.
a. employee, agent and independent contractor.
b. employee and agent.
c. agent to Overflo's customers.
d. independent contractor only.
Brenden bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06 how much in total did he pay
Answer:$5.07
Step-by-step explanation:you are welcome
Brendon paid $5.075 in total.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, Brendon bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06
The total he pay =
= 7% of 4.06 + 18% 0f 4.06 + 4.06
= 0.2842+0.7308+4.06
= 5.075
Hence, Brendon paid $5.075 in total.
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Scatterplot Question
1) The equation of a line of best fit is; y = -1.15x + 102.8
2) The predicted monthly cost for an average temperature of 25°F is $74.05
How to find the equation of the line of best fit?The equation of a line of best fit is represented by the equation;
y = mx + c
where;
m is the slope
c is the y-intercept
1. To calculate the slope here, we will use the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;
Slope (m) = (80 - 20)/(20 - 72)
Slope = 60/-52
Slope = -1.15.
Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;
20 = -1.15(72) + c
c = 20 + 82.8
c = 102.8
The equation will now be;
y = -1.15x + 102.8
2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;
y = -1.15(25) + 102.8
y = 102.8 - 28.75
y = $74.05
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Which expression is equivalent to 12(6x+12)? A. 6x+14 B. 12x+1 C. 3x+12 D. 3x+14 please answer
Step-by-step explanation:
B.12x + 1
if it helps brainiest lol
I’ll mark brainlist
NO LINKS PLS
Answer:
9 over 12 and 20 over 12.......
solve in vertex form?
In algebra, the vertex form of a quadratic equation is a way of expressing the equation in the form:[tex]y = a(x - h)^2 + k[/tex]
where (h, k) is the vertex of the parabola defined by the equation. The value of 'a' determines whether the parabola opens up or down and the value of 'h' and 'k' determine the position of the vertex on the coordinate plane.
For example, the standard form of a quadratic equation is:
[tex]y = ax^2 + bx + c[/tex]
To convert this to vertex form, you would first complete the square to get all the terms of x on one side of the equation and a constant on the other side. Then, you would put the equation in the form shown above.
So, given the equation [tex]y = 3x^2 + 6x - 4[/tex], we can complete the square to get:
[tex]y = 3(x^2 + 2x) - 4[/tex]
then rearrange it to
[tex]y = 3(x^2 + 2x + 1) -7 = 3(x+1)^2-10[/tex] which is in vertex form with vertex (-1,-10)
The vertex form of a quadratic function provides a convenient way to quickly identify the vertex of the parabola without having to complete the square every time.
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The correct question is:
Explain vertex form.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
The decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.
At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:
[tex]H_0: \mu = 410[/tex]
At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:
[tex]H_0: \mu < 410[/tex]
Type of test:
As we test if the mean is less than a value, we have a left-tailed test.
We have the standard deviation for the sample, which means that the t-distribution is used.
We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.
Using a calculator, the critical value is [tex]t_c = -1.721[/tex]
Determine the decision rule for rejecting the null hypothesis.
We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]
if you could respond with the work shown that would be amazing! i rate people very nicely!! this is due before 7 AM EST time :)
Answer:
35ft squared
Step-by-step explanation:
First lets try solving the rectangular middle part
Width is 3 ft
Height is 5ft + 4ft = 9ft
3*9ft= 27ft. This is area of middle rectangular section
For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.
11-3=8
8/2=4
Triangle area formula = Base*Height / 2
4*4/2
16/2
4ft squared
and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up
27ft+4ft+4ft=35ft squared
35ft squared is the answer.
Hope this helps :)
PLEASE HELP!! I will give brainiest !!!
Answer:
no f-ing clue
Step-by-step explanation:
SELECT ALL of the numbers that are included within the range of the line segment.
ANSWERS ↓
-6
-4
-3
-2
0.5
1.5
3.5
Answer: -2, -3, and -4.
Step-by-step explanation:
The range is all the Y Values the graph uses, and the Y values range from -0.5 to -5.5, making every number in between those included.
what is a Hamiltonian , and why are they important ?
Step-by-step explanation:
Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton
Pls help I will mark u what ever you want
Answer:
1.) True
2.) True
3.) False
4.) True
Hope this helps!
can someone help me please
Answer:
Step-by-step explanation:
-1 +2=1
2+2=4
5+1=6
A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
A. 31.4 inches
B. 62.8 inches
C. 314 inches
D. 1,256 inches
Answer:
B
[tex]circumference = \pi \: d \\ = 3.14 \times 20 \\ = 62.8 \: inches[/tex]
please help me to solve this
Answer:
a) 15m²
b) 750cm³
Step-by-step explanation:
(3+2)/2=5/2=2.5
2.5x6=15
a) 15m²
1/20=x/15
15=20x
x=15/20
x=3/4 = 0.75
1 liter is 1000cm³
1000x0.75
b) 750cm³
plz help me asapppppppp
Answer:
7. x = 37.5
8. x = 8
Step-by-step explanation:
7. The sides of the triangles are proportional, therefore:
x/20 = (46 - 16)/16
x/20 = 30/16
Cross multiply
x*16 = 30*20
16x = 600
Divide both sides by 16
x = 600/16
x = 37.5
8. The sides of the triangles are proportional. Therefore,
(7x - 1)/22 = (3x + 1)/10
Cross multiply
10(7x - 1) = 22(3x + 1)
70x - 10 = 66x + 22
Collect like terms
70x - 66x = 10 + 22
4x = 32
4x/4 = 32/4
x = 8
please help with all questions (no links)
Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.
Mary paid $3.80 per pound and Mark paid $4.00 per pound.
19 ÷ 5 = 3.80
16 ÷ 4 = 4
Mary's unit rate is less than Mark's unit rate.
How to calculate expression?To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.
Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:
The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased
= $19 / 5 pounds
= $3.80 per pound
Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:
The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased
= $16 / 4 pounds
= $4.00 per pound
Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.
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Question
A scientist wants a 90 ounce acid solution with a concentration of 12%. She has concentrations of 8% and 18%. How
much of each solution must she use to get the desired concentration?
On solving the provided question, we can say that - the percentage value of 12 % of 90 = 10.8
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
12% of 90 = 12/100 X 90
= 0.12 X 90 = 10.8
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Please see pictures for questions
Answer:
Step-by-step explanation:
Y WILL BE 11 THATS ALL I KNOW
PLEASE HELP ASAP! Enter the value for x that makes the equation 3x + 15 - 8 - 9x = 55 true
Answer:
x = -8
Step-by-step explanation:
3x + 15 - 8 - 9x = 55
(3x+−9x)+(15+−8)=55(Combine Like Terms)
−6x+7=55
−6x=48
x=−8
I'm not sure what I did wrong here, I only have one try at this question, please help!
Can you please help me
Answer:
10/50 = 20/100
Step-by-step explanation:
Another way to represent this formula is:
[tex]\frac{is}{of} = \frac{percent}{100}[/tex]
Allow me to explain this to you.
What is 20% of 50?
"WHAT IS"
"20% (PERCENT)"
"OF 50"
[tex]\frac{x}{50} =\frac{20}{100}[/tex]
The variable, x, was used to replace the unknown value, which is 10.