Answer:
8
Step-by-step explanation:
The radius of a circle is 8 units. What is the diameter of the circle
Answer:
16
Step-by-step explanation:
The radius is half the size of the diameter.
8 * 2 = 16
If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?
Answer:
x =11.17741935 gallons
Step-by-step explanation:
We can use a ratio to solve
62 miles 231 miles
--------- = -----------
3 gallons x gallons
Using cross products
62x = 231 *3
62x =693
Divide each side by 62
62x/62 = 693/62
x =11.17741935 gallons
Answer: 11.1774194 gallons of gas
Explanation: To solve this problem, our first step is to write down the unit ratio that is involved. In this case, it's miles traveled/gallons of gas.
Next, we set up a proportion based
on the information in the problem.
We know that a car gets 62 miles for every 3 gallons so we have 62/3 and we're asked how many gallons of gas
will it use to travel 231 miles so that's 231/x.
Notice that the 231 miles must go on top in the second ratio
because our unit ratio tells us that we put miles over gallons.
Solving from here, we use the means-extremes property which states that the product of the extremes, (62)(x) equals the product of the means, (3)(231).
So we have the equation 62x = 693.
Now, dividing both sides of the equation
by 63, we find that x = 11.1774194.
This means that the car will use 11.1774194
gallons of gas to travel 231 miles.
What is the probability of flipping a coin 75 times and getting tails 30 times or fewer? Round your answer to the nearest tenth.
A. 5.3%
B. 32.3%
C. 75.6
D. 99.7
HELP
Answer:
B
Step-by-step explanation:
Answer:
A. 5.3%
Step-by-step explanation:
Which statement is true of data in a line graph?
It is discrete.
It can only have certain values.
It is given in data pairs.
It is continuous.
Answer:
the last one i think
Step-by-step explanation:
How does f(x) = 6x change over the interval x = 3 to x = 4?
Answer:
I assume the answer would be that f(x) = 6(x) increases over the interval x = 3 to x = 4
Step-by-step explanation:
6 x 3 is 18 and 6 x 4 is 24, so over the interval x = 3 to x = 4 f(x) would increase.
Identify the numbers sets to which the number 0 belongs
Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which
explains Lauren's error?
Lauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology
Lauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology
Lauren made her first error in step 3 because she should have used 90-55 = 35 for chemistry and 90-50 - 40 for
biology
Lauren made her first error in step 3 because she should have used 85-60-25 for chemistry and 80-60-20 for
biology
Answer:
D: Lauren made her first error in step 3 because she should have used 85-60 = 25 for chemistry and 80-60 = 20 for biology
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it right on ed 2020
(6x10^8) divided by (1.5 x 10^-4)?
Answer:
4 x 10^12
Step-by-step explanation:
I used a calculator.
(6x10^8) divided by (1.5 x 10^-4) is 4 x 10^12.
What is the division?Division is the action of separating something into parts or the process of being separated.
How to solve?
While dividing;
[tex]\frac{6(10^8)}{1.5(10^-4)} \\\frac{6(10^8)(10^4)}{1.5}\\ 4(10^{12})[/tex]
The answer will be 4 x 10^12.
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Is y = 24x proportional
Answer:
yes
Step-by-step explanation:
A proportional relationship has the form
y = kx ← k is the constant of proportionality
y = 24x ← is in this form and is proportional with k = 24
Ali was asked to factorise x^2y^2 + 36 - 4x^2 - 9y^2.He tried some ways of grouping terms as shown below.
x^2y^2 + 36 - 4x ^2 - 9y^2=(x^2y^2 + 36) - (4x ^2 + 9y^2)
x^2y^2 + 36 - 4x^2 - 9y^2=( x^2y^2 + 36 - 4x^2) -9y^2
x^2y^2 + 36 - 4x^2 - 9y^2=x^2y^2 + (36 - 4x^2 - 9y^2)
As he could not carry out factorisation with the above groupings,he concluded that the expression could not be factorised.Do you agree with him? Why or why not?
Answer:
It can be factorised
Step-by-step explanation:
Given
x²y² + 36 - 4x² - 9y² ( rearranging )
x²y² - 4x² - 9y² + 36 ( factor first/second and third/fourth terms )
= x²(y² - 4) - 9(y² - 4) ← factor out (y² - 4) from each term
= (y² - 4)(x² - 9)
Both factors are a difference of squares and factor in general as
a² - b² = (a - b)(a + b)
Thus
y² - 4
= y² - 2² = (y - 2)(y + 2) , and
x² - 9
= x² - 3² = (x - 3)(x + 3)
Hence
x²y² + 36 - 4x² - 9y² = (y - 2)(y + 2)(x - 3)(x + 3)
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 75,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 8% each year. How many total fish did the company catch over the first 7 years, to the nearest whole number?
Answer:
The total amount of fishes caught is 414,519 fishes
Step-by-step explanation:
Here, given the percentage decrease in the population of fishes, we want to know the total amount of fishes caught by the company in the first 7 years.
First year, we have 75,000 fishes
Second year, we would have 75,000 - (8% of 75,000) = 75,000 - (0.08 × 75,000) = 75,000 - 6,000 = 69,000
Third year, we would have 69,000- (0.08 × 69,000) = 69,000 - 5520 = 63,480
Fourth year, we would have 63,480 - (0.08 × 63,480) = 58,401.6
Fifth year, we would have 58,401.6 - (0.08 × 58,401.6) = 58,401.6 - 4,672.18 = 53,729.472
Sixth year, we would have 53,729.472 - (0.08 × 53,729.472) = 53,729.472 - 4,298.3578 = 49,431.114
Seventh year, we would 49,431.114 - (0.08 × 49,431.114) = 45,476.625
The addition of all these values will give the total number of fishes caught = 75,000 + 69,000 + 63,480 + 58,401.6 + 53,729.472 + 49,431.114 + 45,476.625 = 414,518.8 = 414,519 fishes to the nearest whole number
Final answer:
Learn how to calculate the total fish caught by a fishing company over 7 years with decreasing catches.
Explanation:
A major fishing company caught 75,000 fish in the first year. Each year, the number of fish caught decreased by 8%. To find the total fish caught over 7 years:
Calculate the number of fish caught each year by multiplying the previous year's catch by (100% - 8%).
Add up the catches for 7 years.
Round the final total to the nearest whole number.
Therefore, the fishing company caught approximately X fish over the first 7 years.
How do I solve for the value of csc0 ?
Answer:
Step-by-step explanation:
X=y
[tex]\[ \csc(\theta) = \frac{15}{12} = \frac{5}{4} \][/tex] Option C. 15/12 is the Right Choice.
In a right triangle, the cosecant ([tex]\(\csc\)[/tex]) of an angle is the ratio of the length of the hypotenuse to the length of the side opposite the angle. In this scenario, we're given an angle [tex]\( \theta \)[/tex] and the side opposite to it measures 12 units. The length of the hypotenuse is denoted as [tex]\( r \)[/tex], and the length of the other side is 9 units.
To find the length of the hypotenuse ([tex]\( r \)[/tex]), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So, we have:
[tex]\[ r^2 = 12^2 + 9^2 \][/tex]
[tex]\[ r^2 = 144 + 81 \][/tex]
[tex]\[ r^2 = 225 \][/tex]
Taking the square root of both sides, we get [tex]\( r = 15 \)[/tex].
Now that we have the length of the hypotenuse ([tex]\( r = 15 \)[/tex]), we can find the cosecant ([tex]\(\csc\)[/tex]) of angle [tex]\( \theta \)[/tex]. The definition of [tex]\(\csc\)[/tex] in a right triangle is:
[tex]\[ \csc(\theta) = \frac{r}{\text{opposite side}} \][/tex]
Substituting the values we have, we get:
[tex]\[ \csc(\theta) = \frac{15}{12} \][/tex]
Simplifying this expression, we find that:
[tex]\[ \csc(\theta) = \frac{5}{4} \][/tex]
Therefore, the value of [tex]\( \csc(\theta) \)[/tex] is [tex]\( \frac{5}{4} \)[/tex]. Hence, the correct answer is C. 15/12.
The length of a rectangle is 4 units more than the width. The area of the rectangle is 32 units ^2 What is the length, in units, of the rectangle?
Answer:
Length = 4 units
Step-by-step explanation:
Width = x units
Length = (x + 4) units
Area = 32 square units
length * width = 32
(x +4) *x = 32
x *x + 4 * x = 32
x² + 4x -32 = 0
Sum = 4
Product = -32
Factor = 8 , (-4)
x² + 4x -32 = 0
x² + 8x - 4x - 4 * 8 = 0
x(x + 8) - 4(x +8) = 0
(x + 8) (x - 4) = 0
(x + 8) is ignored because measurements will not have negative sign.
x-4 =0
x = 4
Width = 4 units
Length = x + 4 = 4 + 4 = 8 units
If f(x) = 6x – 4, what is f(x) when x = 8? 2 16 44 52
Answer:
44
Step-by-step explanation:
f(x) = 6x-4
Let x=8
f(8) = 6*8 -4
= 48 -4
=44
Answer:
44
Step-by-step explanation:
f(x) = 6x – 4
f(8) = 6(8) – 4
= 48 - 4
= 44
Kelsey graphed the equation y = 3x + 1 as shown below. On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). Which describes Kelsey’s error?
Answer: Kelsey graphed the slope as the y-intercept and the y- intercept as the slope.
Step-by-step explanation:
Answer: D on edg
Step-by-step explanation:
Kelsey graphed the slope as the y-intercept and the y- intercept as the slope.
The figure shows the dimensions of the couch cushion find the surface area of the cushion 35 inches 20 inches 30.25 inches 4 inches 14.5 inches
Answer:
1,787.75
Step-by-step explanation:
The sum of the areas of the 10 rectangles gives the surface area of the cushion:
A = 140 sq. in. + 80 sq. in. + 121 sq. in. + 2(605 sq. in.) + 22 sq. in. + 2(68.875) sq. in +19 sq. in. + 58 sq. in.
= 140 sq. in. + 80 sq. in. + 121 sq. in. + 1,210 sq. in. + 22 sq. in. + 137.75 sq. in +19 sq. in. + 58 sq. in.
= 1,787.75 sq. in.
The surface area of the cushion is 1,787.75 square inches.
The volume of the triangular prism is 54 cubic units.
Plzzzzz help im giving 50 pts if u help me and ill mark brainliest
Solve the system of equations.
–5x – 12y – 43z = –136
–4x – 14y – 52z = –146
21x + 72y + 267z = 756
Question 4 options:
a. x = 6, y = 9, z = –6
b. x = 1, y = 3, z = 4
c. infinite solutions
d. no solution
Answer:
no solution
Step-by-step explanation:
–5x – 12y – 43z = –136
–4x – 14y – 52z = –146
21x + 72y + 267z = 756
Every coefficient of the second equation is a multiple of 2, so divide both sides by 2.
Every coefficient of the third equation is a multiple of 3, so divide both sides by 3.
–5x – 12y – 43z = –136
–2x – 7y – 26z = –73
7x + 24y + 89z = 252
Let's call the above system the "simplified original system."
Using the simplified original system, multiply the first equation by -2 and the second equation by 5. Then add them.
10x + 24y + 86z = 272
(+) -10x - 35x - 130z = 365
------------------------------------------
-11y - 44z = 637
Now we have an equation with only y and z.
Now, using the simplified original system, multiply the second equation by 7 and the third equation by 2. Then add them.
–14x – 49y – 182z = –511
(+) 14x + 48y + 178z = 504
-------------------------------------------
-y - 4z = -7
Now we have a system in 2 unknowns, y and z.
-11y - 44z = 637
-y - 4z = -7
Multiply the second equation by -11 and add to the first equation.
-11y - 44z = 637
(+) 11y + 44z = 77
-----------------------------
0 = 714
Since 0 = 714 is false, this system has no solution.
How much interest is earned in 2 years on an investment of $2,000? The interest rate is 3%
In the table, x represents every mile driven in a cab and y represents the cost. A 2-column table with 5 rows. Column 1 is labeled x with entries 1.25, 2.50, 3.75, 5, 6.25. Column 2 is labeled y with entries 7.50, 10.0, 12.5, 15.0, 17.5. Is the slope increasing or decreasing? What is the slope for this scenario?
The slope for this scenario of X (every mile driven in cab) and Y (cost ) is 2 and the slope is increasing.
X 1.25 2.50 3.75 5 6.25
Y 7.50 10.0 12.5 15 17.5
[tex]x_{1}= 1.25 \\ x_{2} = 2.50 \\ y_{1}=7.50 \\y_{2}=10[/tex]
What is the Slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is represented by m.
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
Substitute all the required values in Slope formula, we get
[tex]m =\frac{10-7.50}{2.50-1.25}[/tex]
[tex]m = \frac{2.50}{1.25}[/tex]
[tex]m=2[/tex]
Thus, the slope of the given scenario is 2 and X and Y are increasing simultaneously as well as slope is positive. So, we can say it is a increasing slope.
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Answer: In the table, x represents every mile driven in a cab and y represents the cost.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1.25, 2.50, 3.75, 5, 6.25. Column 2 is labeled y with entries 7.50, 10.0, 12.5, 15.0, 17.5.
Is the slope increasing or decreasing?
✔ increasing
What is the slope for this scenario?
✔ 2
Step-by-step explanation:
The city zoo has an equal number of visitors on Friday, Saturday, and Sunday. In all, 48,144 people visited the zoo that weekend. How many visited each day
Answer:
16,048 visitors per day.
Step-by-step explanation:
To solve for this answer, you will simply need to divide the total amount of visitors (48,144) by the amount of days given, which in this instance, is 3.
48,144÷3= 16,048 visitors per day.
Which inequality is true if p= 3.4?
A. 3p < 10.2
B. 13.6 < 3.9p
C. 5p > 17.1
D. 8.5 > 2.5p
The correct inequality is B. 13.6 < 3.9p.
Explanation:To determine which inequality is true if p = 3.4, we can substitute the value of p into each inequality and see which one is satisfied. Let's do this for each option:
A. 3p < 10.2:
Substituting p = 3.4, we get 3(3.4) = 10.2 < 10.2, which is not true.
B. 13.6 < 3.9p:
Substituting p = 3.4, we get 13.6 < 3.9(3.4) = 13.26, which is true.
C. 5p > 17.1:
Substituting p = 3.4, we get 5(3.4) = 17 < 17.1, which is not true.
D. 8.5 > 2.5p:
Substituting p = 3.4, we get 8.5 > 2.5(3.4) = 8.5 > 8.5, which is not true.
Therefore, the correct inequality is B. 13.6 < 3.9p.
A sector of a circle has a central angle of 80°. If the circle has a radius of 5.5 inches,what is the area of the sector? (pi = 3.14) *
Answer:
[tex] area = 21.11 ~in.^2 [/tex]
Step-by-step explanation:
Area of sector of circle with central angle measuring n degrees and radius r:
[tex] area = \dfrac{n}{360^\circ}\pi r^2 [/tex]
[tex] area = \dfrac{80^\circ}{360^\circ} \times 3.14 \times (5.5~in)^2 [/tex]
[tex] area = \dfrac{80^\circ}{360^\circ} \times 3.14 \times (5.5~in)^2 [/tex]
[tex] area = 21.11 ~in.^2 [/tex]
The area of the sector of the circle will be 21.12 inch².
How to estimate the area of the sector of the circle?The area of sector of circle central angle θ in degree and radius r will be represented as
A= (θ/360°)πr²
the sector has a central angle θ=80°
r=5.5 inches
substituting these values in above formula for the area of the sector of circle,
Area= A
= (θ/360°)πr²
= (80°/360°)π(5.5)²
=21.12 inch²
Therefore, the area of the sector will be 21.12 inch².
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Miko can type 70 words in one minute.At that rate,how many words can he type in 12 minutes?
Words typed in 1 minute = 70
Words typed in 12 minutes = 70 x 12 = 840 words
If Miko types at 70 words per minute, in 12 minutes he can type 840 words if he maintains the same speed throughout.
what is 1/6(12z-18)=2z-3
Answer:
Always true
All real numbers
Step-by-step explanation:
2z - 3 = 2z -3 Move all terms containing z to the left side of the equation.-3 = -3The given equation 1/6(12z-18)=2z-3 has no solution.
The given equation is 1/6(12z-18)=2z-3.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 1/6(12z-18)=2z-3
12z/6 -18/6 =2z-3
2z-3=2z-3
Transpose 3 to other side of the equation, we get
2z=2z-3+3
2z = 2z
Transpose 2z to other side of the equation, we get
2z-2z=0
Therefore, the given equation has no solution.
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**Use Pie Graph for Projected Percentage
Category Total Projected
Difference
Housing
$575
(Type Here)
Budget Busters #2- Bella
($28,000 annual salary at 18% tax rate)
Amount of Taxes: (Type Here)
Net Annual Income:
Net Monthly Income:
(Type Here (Type Here)
Actual
(Type Here)
$478.25 (Type Here)
Debt
(Type Here)
Groceries
S320
(Type Here)
Category
Total
Percent
Transportation
S250
(Type Here)
(Type Here)
(Type Here)
(Type Here)
Housing
$575
$100
Charity
(Type Here)
(Type Here)
Debt
$189.75
$478.25
Savings
(Type Here)
(Type Here)
(Type Here)
Groceries
$320
(Type Here)
Transportation
$250
(Type Here)
1. What is the most significant difference between Bella's actual
spending and her budget?
(Type Here)
Charity
$100
(Type Here)
Savings
$189.75
(Type Here)
Answer:0.0
Step-by-step explanation:
To find the most significant difference in Bella's budget, calculate the difference for each category and compare them. For Mary Ann, by subtracting her expenses from her net income of $2,589.10, we determine she can save more than 10% of her income, exceeding her savings goal.
Explanation:The most significant difference between Bella's actual spending and her budget can be determined by comparing the projected expenses to the actual expenses in each category. You'll first calculate the difference for each category by subtracting the actual amount from the projected amount. These differences should be compared to determine which one is the largest. For Mary Ann's scenario, we can construct a budget table and calculate the possibility of saving 10% of her after-tax monthly income by deducting her monthly expenses from her net income. To do this, you'll start with her net monthly income and subtract each of her monthly expenses to check if there's at least 10% of her income left for savings.
If Mary Ann's net monthly income is $2,589.10, her goal is to save 10% of that amount, which would be $258.91. Once you subtract her expenses which total $2,145 (the sum of rent, cell phone, utilities, cable TV and internet, groceries, entertainment, car payment, and gasoline) from her net income, you're left with $444.10. Therefore, she can meet her savings goal since $444.10 is more than $258.91. You can use similar steps and considerations for creating and managing a budget based on the cost of living in your area.
Sin 74 to nearest tenth
Answer:
sin(74º) = 0.96
Step-by-step explanation:
answer is 70
When rounding to the nearest tenth like 74 we:
Round the number to the nearest tenth if the last digit of the number is 5678 or 9
Then we do the same rounding it down
Given f(x) = 5x – 3, find f(2).
Answer:
f(2) = 7
Step-by-step explanation:
To figure this out you just have to plug in 2 wherever x is in the equation.
f(2) = 5(2) - 3
Multiply 5 by 2
f(2) = 10 - 3
Subtract
f(2) = 7
What is the simplified base for the function f(x) = 2RootIndex 3 StartRoot 27 EndRoot Superscript 2 x?
2
3
9
18
Answer:c
Step-by-step explanation:
write an expression to represent 6 less than 8 times c
Answer:
(8*c)-6
Step-by-step explanation:
Answer:
8c - 6.
Step-by-step explanation:
8 times c = 8c.
Now 6 less than this is 8c - 6.