9514 1404 393
Answer:
18% better
Step-by-step explanation:
The percentage improvement is computed as ...
percent change = ((new value) -(old value))/(old value) × 100%
= ((2:44 -3:20)/(3:20)) × 100%
= (164 -200)/200 × 100%
= -36/200 × 100%
= -18%
Sarah's time has improved (decreased) by 18%.
5. Linda earns $95 per day. If she works of a day, how much will she earn?
Answer:
95 Dollars
Step-by-step explanation:
95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.
Help!!
The Wonder Wings Insect Museum sells bug-shaped notebooks in their gift shop. Last month, they sold 35 butterfly notebooks and 55 ladybug notebooks. The notebooks were so popular that they want to order more this month. They plan to order 110 ladybug notebooks this month. If they keep the same ratio, how many butterfly notebooks should they order this month?
Answer:
70
Step-by-step explanation:
The number of butterfly notebooks should they order this month approximately will be 43.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The Miracle Wings Bug Exhibition hall sells bug-formed scratch pads in their gift shop. Last month, they sold 35 butterfly notepads and 55 ladybug journals.
The ratio of butterfly notebooks and ladybug notebooks will be given as,
⇒ 35 / 55
⇒ 7 / 11
The scratch pad was well known to the point that they believe should arrange more this month. They intend to arrange 110 ladybug notepads this month.
Let 'x' be the number of butterfly notebooks. Then the number of ladybug notebooks will be (110 - x).
If they keep the same ratio. Then the value of 'x' is given as,
x / (110 - x) = 7 / 11
11x = 770 - 7x
18x = 770
x = 42.77
The number of butterfly notebooks should they order this month approximately will be 43.
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if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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How many different strings can be made from the letters in HAPPINESS, using all the letters?
Answer:
20 different strings
Step-by-step explanation:
Let the lines in the alphabets be the strings. So, each alphabet has many strings. Counting them would make them 20 strings.
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all
Answer:
415 miles
Step-by-step explanation:
Start with the speed equation:
speed = distance/time
Now solve the speed equation for distance:
distance = speed × time
Apply the speed equation solved for distance to the two parts of the trip.
4 hours at 55 mph:
distance = 55 mph × 4 hours = 220 miles
3 hours at 65 mph:
distance = 65 mph × 3 hours = 195 miles
Add the two distances to find the total distance:
total distance = 220 miles + 195 miles = 415 miles
Answer: 415 miles
Answer:
415 miles
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.
How far did he drive?
d=rt
For the first part of the trip:
d = 55 * 4 = 220 miles
For the second part of the trip:
d = 65*3 =195 miles
Add the miles together
220+195 = 415 miles
Which equation is equivalent to StartRoot x EndRoot + 11 = 15?
Answer:
x+121=225
Step-by-step explanation:
√x+11=15
to find the equivalent let's square both sides
(√x)²+11²=15²
x+121=225
This answer is the only one that matches the question
rate as brainliest
Paula Ryan pays her two employees $410 and $650 per week. Assume a state unemployment rate of 5.9% and a federal rate of .6%. What state and federal unemployment tax will Paula pay at the end of Quarter 1 and Quarter 2
Answer: $68.90 for each quarter
Step-by-step explanation:
To calculate the state and federal unemployment taxes that Paula will pay, we need to first calculate the taxable wages for each employee and then apply the appropriate tax rates.
For Quarter 1:
Employee 1's taxable wages: $410
Employee 2's taxable wages: $650
Total taxable wages: $410 + $650 = $1,060
State unemployment tax:
Taxable wage base for the state: $9,000 per employee per year
Taxable wage base for two employees in a quarter: $18,000
Tax rate: 5.9%
State unemployment tax: $1,060 x 5.9% = $62.54
Federal unemployment tax:
Taxable wage base for the federal government: $7,000 per employee per year
Taxable wage base for two employees in a quarter: $14,000
Tax rate: 0.6%
Federal unemployment tax: $1,060 x 0.6% = $6.36
Therefore, Paula will pay a total of $62.54 + $6.36 = $68.90 in state and federal unemployment taxes for Quarter 1.
For Quarter 2:
Employee 1's taxable wages: $410
Employee 2's taxable wages: $650
Total taxable wages: $410 + $650 = $1,060
State unemployment tax:
Taxable wage base for the state: $9,000 per employee per year
Taxable wage base for two employees in a quarter: $18,000
Tax rate: 5.9%
State unemployment tax: $1,060 x 5.9% = $62.54
Federal unemployment tax:
Taxable wage base for the federal government: $7,000 per employee per year
Taxable wage base for two employees in a quarter: $14,000
Tax rate: 0.6%
Federal unemployment tax: $1,060 x 0.6% = $6.36
Therefore, Paula will pay a total of $62.54 + $6.36 = $68.90 in state and federal unemployment taxes for Quarter 2 as well.
find the value of v in rectangle
Answer:
Step-by-step explanation:
7v = v+12
6v = 12
v = 2
The height of cylinder B is twice the height of cylinder A the total surface area of cylinder A is 180 Calculate the total surface area of cylinder B
Main Answer: The total surface area of cylinder B is approximately 476.7 square units.
Supporting Question and Answer:
How is the surface area of a cylinder calculated?
The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:
A = 2πrh + 2π\(r^{2}\)
where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.
The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.
Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.
The total surface area of a cylinder is given by the formula:
Area = 2πrh + 2π\(r^{2}\)
For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:
180 = 2πrh + 2π\(r^{2}\)
90 = πrh + π\(r^{2}\)
We can rearrange this equation to solve for r:
r² + rh - 90/π=0
Using the quAdratic formula,we get:
r = (-h ± √((h)² + 4(90/π)))/2
r = -h/2 ± √(h² + 4(90/π))/2
Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.
R = 2r= -h ± √(h² + 4(90/π))
We can use this expression to find the surface area of cylinder B:
Surface area of cylinder B = 2πR² + 2πR(2h)
Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))
We can use the value we found for 2h using the quadratic formula in the expression to get:
Surface area of cylinder B = 476.7 square units (rounded to one decimal place)
Therefore, the total surface area of cylinder B is approximately 476.7 square units.
Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7 square units.
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Simplify the expression. negative 15 plus the quantity negative 1 and six tenths plus 9 and 34 hundredths end quantity divided by 6 all times 3 squared minus 5 and 7 tenths −4.125 −9.09 −12.96 129.09
The simplified expression in mathematical form is -45.36.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is -
(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)
Simplifying the terms inside the parentheses first, we get -
(-15 + 7.74 / 6) × (9 - 5.7)
Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -
(-15 + 1.29) × (9 - 5.7)
We add -15 and 1.29 inside the first set of parentheses -
(-13.71) × (9 - 5.7)
We subtract 5.7 from 9 inside the second set of parentheses -
(-13.71) × 3.3
Multiplying these two terms, we get -
-45.363 ≈ -45.36
Therefore, the value is obtained as -45.36.
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Solve for x and find the measure of each angle
what is the measure of ABD?
Answer:
39
Step-by-step explanation:
B is a right angle, so it is 90°
90 - 51 = 39
Answer:
\(let \: that \: angle \: be \: x \\ x + 51 \degree = 90 \degree \\ x = 90 \degree - 51 \degree \\ x = 39 \degree\)
Please help me with these! No links, and please explain or show work. Need answer ASAP!! You can tell me which one is which by putting the 66 or 65a. (There are 2 questions)
Answer: 65a) 16, 24, 12.8 inches. 66) 0.6 cm
Step-by-step explanation:
65a)
For each of these, we need to find the proportion of the scale.
When the width is enlarged from 5 inches to 10 inches, it is being doubled (10/5 = 2). Thus the length (8 inches) is also doubled and becomes 16 inches.
Similarly, when the width is enlarged from 5 inches to 15 inches, it is being tripled (15/5 = 3). Thus the length (8 inches) is also tripled and becomes 24 inches.
Lastly, when the width is enlarged from 5 inches to 8 inches, it is being scaled by a factor of 8/5. Thus the length (8 inches) is also scaled by a factor of 8/5 and becomes 8 × 8/5 = 64/5 = 12.8 inches.
66)
The ant's leg in this picture is 15cm and know the photograph is 25 times bigger than the actual ant leg. Thus we know
the ant's leg × 25 = the ant's leg in the photo
the ant's leg × 25 = 15cm
the ant's leg = 15/25 cm = 0.6 cm
Answer:
Step-by-step explanation:
If you have 6 eggs and 2 bananas for 4 people, how many eggs and bananas would you need for 10 people?
Answer:
15 eggs
5 bananas
Step-by-step explanation:
6/4=x/10
6(10)=4x
60=4x
/4. /4
15=x
We need 15 eggs
2/4=x/10
2(10)=4x
20=4x
5=x
We need 5 bananas
Or
6/4=1 1/2
Now we make 1 and 1/2 have a denominator of 10
1 5/10=15/10
Meaning 15 eggs
2/4=1/2=5/10
Meaning 5 bananas
Hopes this helps please mark brainliest
Answer:you would need 15 eggs and 5 bananas for 10 people
Step-by-step explanation:multiply the 6 eggs and 2 bannanas by 2 then add half more of each
sorry if this confuses you im not a good explainer
Evaluate the expression.
Heeeelp please, Can be zero or not?
with all steps and explanay.
The value of integral is 3.
Let's evaluate the integral over the positive half of the interval:
∫[0 to π] (cos(x) / √(4 + 3sin(x))) dx
Let u = 4 + 3sin(x), then du = 3cos(x) dx.
Substituting these expressions into the integral, we have:
∫[0 to π] (cos(x) / sqrt(4 + 3sin(x))) dx = ∫[0 to π] (1 / (3√u)) du
Using the power rule of integration, the integral becomes:
∫[0 to π] (1 / (3√u)) du = (2/3) . 2√u ∣[0 to π]
Evaluating the definite integral at the limits of integration:
(2/3)2√u ∣[0 to π] = (2/3) 2(√(4 + 3sin(π)) - √(4 + 3sin(0)))
(2/3) x 2(√(4) - √(4)) = (2/3) x 2(2 - 2) = (2/3) x 2(0) = 0
So, the value of integral is
= 3-0
= 3
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Answer:
\(3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x\approx 0.806\; \sf (3\;d.p.)\)
Step-by-step explanation:
First, compute the indefinite integral:
\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x\)
To evaluate the indefinite integral, use the method of substitution.
\(\textsf{Let} \;\;u = 4 + 3 \sin x\)
Find du/dx and rewrite it so that dx is on its own:
\(\dfrac{\text{d}u}{\text{d}x}=3 \cos x \implies \text{d}x=\dfrac{1}{3 \cos x}\; \text{d}u\)
Rewrite the original integral in terms of u and du, and evaluate:
\(\begin{aligned}\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\int \dfrac{\cos x}{\sqrt{u}}\cdot \dfrac{1}{3 \cos x}\; \text{d}u\\\\&=\int \dfrac{1}{3\sqrt{u}}\; \text{d}u\\\\&=\int\dfrac{1}{3}u^{-\frac{1}{2}}\; \text{d}u\\\\&=\dfrac{1}{-\frac{1}{2}+1} \cdot \dfrac{1}{3}u^{-\frac{1}{2}+1}+C\\\\&=\dfrac{2}{3}\sqrt{u}+C\end{aligned}\)
Substitute back u = 4 + 3 sin x:
\(= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)
Therefore:
\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)
To evaluate the definite integral, we must first determine any intervals within the given interval -π ≤ x ≤ π where the curve lies below the x-axis. This is because when we integrate a function that lies below the x-axis, it will give a negative area value.
Find the x-intercepts by setting the function to zero and solving for x in the given interval -π ≤ x ≤ π.
\(\begin{aligned}\dfrac{\cos x}{\sqrt{4+3\sin x}}&=0\\\\\cos x&=0\\\\x&=\arccos0\\\\\implies x&=-\dfrac{\pi }{2}, \dfrac{\pi }{2}\end{aligned}\)
Therefore, the curve of the function is:
Below the x-axis between -π and -π/2.Above the x-axis between -π/2 and π/2.Below the x-axis between π/2 and π.So to calculate the total area, we need to calculate the positive and negative areas separately and then add them together, remembering that if you integrate a function to find an area that lies below the x-axis, it will give a negative value.
Integrate the function between -π and -π/2.
As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:
\(\begin{aligned}A_1=-\displaystyle \int^{-\frac{\pi}{2}}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=- \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{-\frac{\pi}{2}}_{-\pi}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(-\pi\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (-1)}+\dfrac{2}{3}\sqrt{4+3 (0)}\\\\&=-\dfrac{2}{3}+\dfrac{4}{3}\\\\&=\dfrac{2}{3}\end{aligned}\)
Integrate the function between -π/2 and π/2:
\(\begin{aligned}A_2=\displaystyle \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\&=\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}\\\\&=\dfrac{2}{3}\sqrt{4+3 (1)}-\dfrac{2}{3}\sqrt{4+3 (-1)}\\\\&=\dfrac{2\sqrt{7}}{3}-\dfrac{2}{3}\\\\&=\dfrac{2\sqrt{7}-2}{3}\end{aligned}\)
Integrate the function between π/2 and π.
As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:
\(\begin{aligned}A_3=-\displaystyle \int^{\pi}_{\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= -\left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\pi}_{\frac{\pi}{2}}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(\pi\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (0)}+\dfrac{2}{3}\sqrt{4+3 (1)}\\\\&=-\dfrac{4}{3}+\dfrac{2\sqrt{7}}{3}\\\\&=\dfrac{2\sqrt{7}-4}{3}\end{aligned}\)
To evaluate the definite integral, sum A₁, A₂ and A₃:
\(\begin{aligned}\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\dfrac{2}{3}+\dfrac{2\sqrt{7}-2}{3}+\dfrac{2\sqrt{7}-4}{3}\\\\&=\dfrac{2+2\sqrt{7}-2+2\sqrt{7}-4}{3}\\\\&=\dfrac{4\sqrt{7}-4}{3}\\\\ &\approx2.194\; \sf (3\;d.p.)\end{aligned}\)
Now we have evaluated the definite integral, we can subtract it from 3 to evaluate the given expression:
\(\begin{aligned}3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x&=3-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9}{3}-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9-(4\sqrt{7}-4)}{3}\\\\&=\dfrac{13-4\sqrt{7}}{3}\\\\&\approx 0.806\; \sf (3\;d.p.)\end{aligned}\)
Therefore, the given expression cannot be zero.
A square is inscribed inside a circle. What is the approximate area of the blue region?
Answer:
Area of circle-area of square= blue region area
A= pi r^2
=pi x 8.5^2
=226.980069222 or 227
A= l^2
= 12^2
= 144
227-144= 83
Area of blue is 83 cm^2
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Solve the system of equations: 3 � - � = 17 5 � + 3 � = 5 (-4, 5) (4, -5) (-4, -5) (4, 5)
Answer: To solve the system of equations, we can use the substitution method. We'll start by isolating one of the variables in one of the equations.
The first equation is 3x - 2y = 17
We can solve for x by adding 2y to both sides:
3x = 17 + 2y
x = (17 + 2y)/3
We can substitute this expression for x into the second equation:
5((17 + 2y)/3) + 3y = 5
Simplifying, we get:
50 + 10y + 3y = 5
13y = -45
y = -3.5
Now we can substitute this value of y into the equation we found earlier for x:
x = (17 + 2(-3.5))/3
x = (17 - 7)/3
x = 10/3
x = 3.333
So the solution of the system of equations is (x,y) = (3.333, -3.5)
Which is not in the options provided, so the answer is no solution.
Step-by-step explanation:
If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning.
Answer:
27.91 pretzels.
Step-by-step explanation:
Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
89 / 2.5 / 11 = X
35.6 / 11 = X
3.236 = X
3/4 = 0.75
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
Please give me the correct answer.
Answer:
\( -m + 6 = 3m + 14 \)
Step-by-step explanation:
Given:
\( -(m - 6) = 3m + 14 \)
Required:
Multiply (m - 6) by -1.
Solution:
To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.
Thus:
\( -1(m) -1(-6) = 3m + 14 \)
The result would be:
\( -m + 6 = 3m + 14 \) (negative times negative = positive)
1/6+1/12 Write the Awnser in lowest terms Show your work
Answer:
1/4
Step-by-step explanation:
1/6 + 1/12
Multiply the numerator and denominator of the first fraction by 2.
2/12 + 1/12
Add both fractions, because they have a common denominator.
3/12
The fraction can be further simplified.
1/4
What is the equation of the line that has a slope of -3 and goes through the point (3, -1)?
Answer:
y = -3x + 8
Step-by-step explanation:
plug in the slope of -3 and the point (3, -1) into the equation: y = ax + b to find b. (the slope of -3 = a)
=> -1 = 3(-3) + b
=> b = 8
plug in b= 8 & the slope of -3 into the equation: y = ax + b
=> y = -3x + 8
Choose all of the statements that correctly compare the two functions shown.
Alec's rate of savings is greater than Beth's.
entific
Alec and Beth are saving at the same rate.
Alec started with more money than Beth
mulas
Time
maining
:19:23
Beth started with more money than Alec,
de les
At 10 days, Alec will have $1 more than Beth in savings,
Answer:
b, c and e
Step-by-step explanation:
Given
See attachment for functions
Required
Select all statements that contain both functions
First, calculate the rate (slope) of both functions.
This is calculated as:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
For Alec's
\((x_1,y_1) = (0,3)\)
\((x_2,y_2) = (2,9)\)
So, the slope is:
\(m = \frac{9 - 3}{2 - 0}\)
\(m = \frac{6}{2}\)
\(m =3\)
For Beth's
\((x_1,y_1) = (5,17)\)
\((x_2,y_2) = (12,38)\)
So, the slope is:
\(m = \frac{38 - 17}{12 - 5}\)
\(m = \frac{21}{7}\)
\(m =3\)
Beth and Rec have the same slope. Hence, they save at the same rate.
Next, determine the amount they started with.
This implies that we calculate y when x = 0
From Alec's graph.
\((x,y) = (0,3)\)
Alec's initial savings is 3
For Beth's savings, we make use of slope formula.
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\((x_1,y_1) = (5,17)\)
\((x_2,y_2) = (0,y)\)
So, we have:
\(3 =\frac{y - 17}{0 - 5}\)
\(3 =\frac{y - 17}{ - 5}\)
\(y - 17 = -15\)
\(y = 17 -15\)
\(y = 2\)
Beth's initial savings is 2
Hence, Alec started with more money
Next, is to determine who has more money after 10 days.
Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.
The difference (d) is calculated as:
\(d = 3 - 2\)
\(d = 1\)
Hence, Alec will have $1 more than Beth after 10 days
Answer:
its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.
Step-by-step explanation:
What is the difference?
-11x²-3x+4
(-4x+3)(7x - 3x² - 1)
3x² - 11x +4
-3x² + 3x + 2
32²-112+2
The difference of the algebraic expressions is 3x² - 11x + 4
How to find the difference of algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
The difference of two algebraic expressions means the subtraction of the expressions. That is:
(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1
= 3x² - 11x + 4
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Find an equation for the line of beat fit.Use the points (20, 1.2) and (53, 2.6)
Answer:
\(y=\frac{1.4}{33} x +\frac{11.6}{33}\)
Step-by-step explanation:
the slope:
\(m=\frac{2.6-1.2}{53-20} =\frac{1.4}{33}\)
The equation:
\(y-1.2=\frac{1.4}{33} (x-20)\)
\(y=\frac{1.4}{33} x-\frac{28}{33} +1.2\)
\(y=\frac{1.4}{33} x-\frac{28}{33} +\frac{39.6}{33}\)
\(y=\frac{1.4}{33} x+\frac{11.6}{33}\)
Hope this helps
Which pairs of non-overlapping angles share a ray to make a right angle?
Answer:
JGH and JGF
Step-by-step explanation:
Both adjacent and make a right angle
∠KGJ and ∠FGH are the pairs of non-overlapping angles that share a ray to make a right angle.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
In the given figure, we need to find the pairs of non-overlapping angles that share a ray to make a right angle.
We can see that ∠EGF and ∠HGF make a right angle but line FG is overlapping or common in both the angles.
∠KGJ and ∠FGH make a right angle and pairs of non-overlapping angles.
So, this is the correct pair for the condition.
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Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Parallel Structure:Question 6
Which sentence uses parallel
structure correctly:
Select one:
Eggs, flour, and turning the oven to 350 degrees are needed for
baking the pie.
Eggs, flour, and having turned the oven to 350 degrees will be
needed to bake the pie.
Eggs, flour, and sugar are needed to bake the pie crust.
Eggs, flour, and turning the oven to 350 degrees are needed to
bake the pie crust.
parallel structure is used correctly in :
Eggs, flour, and sugar are needed to bake the pie crust.
In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.
The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.
The use of parallelism has an impact on reading and may facilitate text processing.
The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.
However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.
Therefore, the correct answer is:
Eggs, flour, and sugar are needed to bake the pie crust.
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Calculate the radius of the below. Show all work.
Area -0.25 ft
Answer:
r ≈ 0.28
Step-by-step explanation:
\(r=\sqrt{\frac{A}{\pi } }\)
\(r=\sqrt{\frac{0.25}{\pi } }\)
0.28209
≈ 0.28