Answer:
C. 586.2 cm²
Step-by-step explanation:
Area of the figure = area of triangle + area of rectangle + area of semicircle
= (½*b*h) + (L*W) + ½(πr²)
Where,
b = 18 cm
h = 7 cm
L = 22 cm
W = 18 cm
π = 3.14
r = ½(18) = 9 cm
Substitute
Area = (½*18*7) + (22*18) + ½(3.14*9²)
Area = 63 + 396 + 127.17
Area = 586.17 ≈ 586.2 cm²
The diameter of a circle is 26 yards. What is the circle's circumference?
Use 3.14 for a
yards
Submit
Answer: 26 yards
Step-by-step explanation: I have a trick i like to use. If its diameter use the number they provide if its radius divide the number by 2.
I'm not sure if it works in every case but you can try it ^^
Solve for p.
-4.5 + 2/3
- 18.9
A
p=-117.9
B.
p = -108.9
С
p = -86.4
D
P = 140.4
Answer:
me no sabo
Step-by-step explanation:
solve for x without using a calculator
x^4+81=0
Answer:
the answer to the equation is x= -3
what percent of 29 is 3 in equation form
Answer:
3=p*29
Step-by-step explanation:
Answer:
0.87
Step-by-step explanation:
(29×3) ÷ 100
but I'm not sure):
help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
One number is five less than a second number. Five times the first is 2 more than 2 times the second. Find the numbers.
What is the value of x???
Answer:
22.5
Step-by-step explanation:
22.5 x 3 = 67.5
67.5 + 22.5 = 90
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
x + 10 + 3x + 28 = 90
4x = 52
x= 13
Step-by-step explanation:
Angle B = 67
prove trigonometric identity:
[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help
from the pic above, hope it helps you
What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84
Answer:
below
Step-by-step explanation:
first count them up
17
divide it by 16 its d
The probability of picking any color balloon except for red at random is 82%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red balloon = 3
Blue balloon = 2
Pink balloon = 2
Green balloon = 2
Orange balloon = 2
light Blue = 1
Yellow balloon = 2
Purple balloon = 2
So, the probability of picking any color balloon except for red at random
= 13/ 16 x 100
= 81.25 %
Thus, the required percentage is 82%.
Learn more about Probability here:
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PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
a certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Colony after 2 hours?
a. 6
b. 12
c. 32
d. 64
The population of The Colony after 2 hours is d. 64
How to determine the population?The given parameters are:
Initial, a = 1
Rate, b = 2 every 20 minutes
An exponential function is represented as:
y = ab^x
So, we have:
y = 1 * 2^x
y = 2^x
There are six 20 minutes in 2 hours.
This means that:
x = 6
So, we have:
y = 2^6
Evaluate
y = 64
Hence, the population of The Colony after 2 hours is d. 64
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The red string r is 20 centimeters less than 5 times as long as the orange string s ." This can be represented by the expression r = 5 s − 20. Find the length of the red string if the length of the orange string is 10 centimeters. The length of the red string is centimeters.
Question: Explain the Difference between an equation and an expression
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
Which expression is equivalent to square root a^7
Answer is d
Step-by-step explanation:
If you multiply a^6 and a it equals a^7
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling method. The marketing department of a widget manufacturer collected potential consumer preference data regarding a proposed widget upgrade. Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget. The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets. At a .10 level of significance, was the threshold probably met
Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
[tex]H_{0}: p \geq 0.6[/tex]
And the alternate hypothesis is:
[tex]H_{a}: p < 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that:
[tex]\mu = 0.6[/tex]
[tex]\sigma = \sqrt{0.6*0.4}[/tex]
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]
[tex]z = -0.6[/tex]
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.
MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years
A.5,000x2x10
B.5,000x2^10
C.5,000^2x10
D.5,000^10
Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
include why or why not pls help
Answer:
Yes.
Step-by-step explanation:
If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)
If y varies inversely as x and x=4 when y=16 find x when y=9
Answer:
x=3
Step-by-step explanation:
x^2=y
voting rates in presidential elections from 1996-2012 are modeled below
The statement that does not model the situation:
(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
Given:
Voting rates in presidential elections from 1996-2012 are modeled below.
Voting Rates in Presidential Elections, by Age, for the Voting-Age Citizen Population: 1996-2012
The interpretation of the statements is given below;
(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.
No, the greatest was in the year 2008.
(2) From 1996-2012, the average rate of change was positive for only two age groups.
True, the age groups are 39.6 to 45.0 and 69.1 to 72.0.
(3) About 70% of people 45 and older voted in the 2004 election.
Yes.
(4) The voting rates of eligible age groups lie between 35 and 75 percent during presidential elections every 4 years.
Yes, the interval difference is 4.
Therefore, option (1) is incorrect.
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Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
Maria bought apples(a) for $2.32 per pound and bananas(b) for $1.65. She spends $31.42. Write the equation for this situation.
Answer:
$31.42-(2.32+1.65)
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, while in English, any equality is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true.
Can any body help me and no links
Answer:
C
Step-by-step explanation:
7.67 is greater than 7.66666...
what is the solution to the equation 5=2/5a
Answer:
a = 25/2
Step-by-step explanation:
5 = (2/5)*a // - (2/5)*a
5-((2/5)*a) = 0
(-2/5)*a+5 = 0
5-2/5*a = 0 // - 5
-2/5*a = -5 // : -2/5
a = -5/(-2/5)
a = 25/2
a = 25/2
PLEASE HURRY THIS TEST IS TIMED
Use the distributive property to factor out y.
5 y minus 3 y + 12
The new expression becomes
A. 8 y + 12.
B. Negative 2 y + 12.
C. 2 y + 12.
D. 14 y.
Answer:
2y+12
Step-by-step explanation:
First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
please i’ve gotten two wrong and i need to pass this
Answer:5 and 92
Step-by-step explanation:
Answer:
Step-by-step explanation:
what's the answer choices ??
Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?
A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.
Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!
Answer:
30 ounces of cheese
Step-by-step explanation:
12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving
20 x 1.5 = 30 so 30 ounces of cheese