Answer:
474.43 m²
Step-by-step explanation:
The shape is composed of a rectangle and a parallelogram
Area of the composite shape = area of the rectangle + area of the parallelogram
= Length*Width + base*height
Where,
Length = 20.9 m
Width = 14.3 m
base = 20.9 m
height = 22.7 - 14.3 = 8.4 m
Area = 20.9*14.3 + 20.9*8.4
Area = 298.87 + 175.56
= 474.43 m²
Identify the x- and y- intercepts for the graph of the piecewise-defined function.
The line cuts the y-axis at 3, hence the y-intercept is at (3, 0)
The curve passes through the x-intercept at 1.5 and 3. Hence the x-intercept of the graph is at (1.5, 0) and (3,0)
The x-intercept of a line or curve is the point where such a line or curve cuts the x-axis. The y-intercept of a line or curve is the point where such a line or curve cuts the y-axis.From the given graph, we can see that;
the line cuts the y-axis at 3, hence the y-intercept is at (3, 0)the curve passes through the x-intercept at 1.5 and 3. Hence the x-intercept of the graph is at (1.5, 0) and (3,0)Learn more here: https://brainly.com/question/19859423
Answer: analyzing functions practice
and on 4 it is
h(9.8)=0
Step-by-step explanation:
I took the test
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 12 and 14 minutes
Answer:
The probability that washing dishes tonight will take me between 12 and 14 minutes is 0.1333.
Step-by-step explanation:
Let the random variable X represent the time it takes to wash the dishes.
The random variable X is uniformly distributed with parameters a = 10 minutes and b = 15 minutes.
The probability density function of X is as follows:
\(f_{X}(x)=\frac{1}{b-a};\ a<X<b,\ a<b\)
Compute the probability that washing dishes will take between 12 and 14 minutes as follows:
\(P(12\leq X\leq 14)=\int\limits^{12}_{14} {\frac{1}{15-10} \, dx\)
\(=\frac{1}{5}\int\limits^{12}_{14} {1} \, dx \\\\=\frac{1}{5}\times [x]^{14}_{12}\\\\=\frac{1}{15}\times [14-12]\\\\=\frac{2}{15}\\\\=0.1333\)
Thus, the probability that washing dishes tonight will take me between 12 and 14 minutes is 0.1333.
The function y = 4x² + 9x-2 has______at the vertex.
A:minimum
B:Maximum
Answer:
A. MinimumStep-by-step explanation:
Given function:
y = 4x² + 9x - 2This is a quadratic function with positive leading coefficient.
It means the graph of the function opens up and therefore it has minimum value of the function at the vertex.
Correct answer choice is A
A right rectangular box has a volume of 1144 ft.³. The box is 8 feet long and 13 feet high. How wide is the box?
To solve for the volume of a rectangular prism, we could use the following formula:
\(V=l*w*h\)
V = volumel = lengthw = widthh = heightAlthough we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.
Solving the QuestionWe're given:
V = 1144 ft³l = 8 fth = 13We must solve for the width of the boxFirst, rearrange the volume formula to isolate width (w):
\(V=l*w*h\)
⇒ Divide both sides by \(l*h\):
\(\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}\)
⇒ Plug in the given values for V, l and h:
\(w=\dfrac{1144}{8*13}\\\\w=11\)
Therefore, the box is 11 ft wide.
AnswerThe box is 11 ft wide.
Answer:
(A) 11 ft.
Step-by-step explanation:
got it right
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard.
1/4(8x + 20) + 9x simplify
Answer:
11x+5
Step-by-step explanation:
1/4(8x + 20) + 9x
Distribute
1/4 *8x + 1/4 * 20 +9x
2x+5+9x
Combine like terms
11x+5
Need ANSWER ASAP
Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
Answer:
See explanation below.
Step-by-step explanation:
Given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Part (a)The parent function of the given function is: y = sin(x)
The five key points for graphing the parent function are:
3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)(See attachment 1)
Part (b)Standard form of a sine function:
\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)Therefore, for the given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1Part (c)See attachment 2.
Question 3 (1 point)
If a ball has a density of 3 grams per cubic centimeter and a mass of 6.2 grams, what
is the volume of the ball? Round your answer to the nearest tenth.
I
Answer:
tydghhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hv
Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Earl runs 1.5 meters per second.................
Which of the following systems of inequalities has point D as a solution?
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
Help me out please!
No links please I’ll report you
Show work!
I’ll give brainiest
Emma and Lauren read a total of 47 books. Emma reads 17 more books than Lauren. Enter the number of books lauren read
Answer:30
Step-by-step explanation:47-17 = 30
What is the surface area of this right prism?
1050 in²
1200 in²
1440 in²
1800 in²
Answer:
The anwer is B 1200 in
Step-by-step explanation:
1. A windshield wiper blade is 18 in Long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Use 3.14 for pi. Round your answer to the nearest Square inch.
2. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75, what is the area that is watered as the sprinkler of 80 degrees? Use 3.14 for pi. Round your answer to the nearest square foot.
1. Area of a circle is pi x R^2
Area = 3.14 x 18^2
Area = 3.14 x 324= 1017.36 sq. In.
The blade covers 122 out of 360 degrees.
1017.36 x 122/360 = 345 square inches.
2.
Like above.
Area =3.14 x 75^2 = 17,662.5 square feet
17662.5 x 80/360 = 3,925 square feet.
Given that log2 = x and log3 = y, express log60 in terms of x and y
Write the following inequality in slope-intercept form: 4x – 2y < 10
Answer:
y>2x-5
Step-by-step explanation:
-2y+4x<10
-2y<10-4x
divide by -2 to isolate the y
y>-5+2x
Since we are dividing by a negative the sign flips.
Our final answer is y>2x-5
Sam
is training for an upcoming
wrestling match. He trains for 3.5
hours each day Monday through
Wednesday. He trains for 2.5 hours
each day on Thursday and Friday.
How many hours will Sam train
if the event is 6 full weeks away?
(6-7)
A 105 hours
B 252 hours
C 52.5 hours
D 93 hours
5. Which equation is solved for the height of the cone based on theinformation given below ?
The equation for the Volume (V) of the cone given is,
\(V=\frac{1}{3}\pi r^2h\)We are to isolate 'h' in the equation above
SOLUTION
Multiply both sides by 3
\(3V=3\times\frac{\pi}{3}r^2h\)Simplify
\(3V=\pi r^2h\)Divide both sides by πr²
\(\frac{3V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}\)Simplify
\(h=\frac{3V}{\pi r^2}\)Hence, the answer is
\(h=\frac{3V}{\pi r^2}\text{ (OPTION D)}\)PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Write equations for the horizontal and vertical lines passing through the point (-6,1)
Answer:
y = 1 and x = - 6
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c ( where c is the value of the y- coordinates the line passes through )
The line passes through (- 6, 1 ) with y- coordinate 1 , then
y = 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c ( where c is the value of the x- coordinates the line passes through )
The line passes through (- 6, 1 ) with x- coordinate - 6 , then
x = - 6 ← is equation of vertical line
A pound of flour costs $12. How many ounces of flour can be purchased for $3.30?
Answer:
4.4 ounces/ 4 ounce (if rounded)
Step-by-step explanation:
There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.
Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces
Hope this helps!
Joan planted 150 tulip bulbs, but only 20% of them bloomed. How many tulips
bloomed?
14) Find the slope of the line that goes through the points (2,-5) and (3,-2).
Answer:
3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-5))/(3-2)
m=(-2+5)/1
m=3/1
m=3
There is a multiple choice quiz with six questions and five possible answers and only one choice is correct what is the probability you get your first and only incorrect answer on the fourth question?n
Answer:1/1875
Step-by-step explanation:
the probability of getting any one question correct is 1/5, and the probability of getting any one question incorrect is 4/5.
The probability of getting the first three questions correct and the fourth question incorrect can be calculated as follows:
(1/5) * (1/5) * (1/5) * (4/5) = 4/3125
Since there are six possible positions for the incorrect answer to occur (first, second, third, fourth, fifth, or sixth), the probability of getting the first and only incorrect answer on the fourth question is 4/3125 * 1/6 = 1/1875.
Find the value of 5x + 6 when x = -2
Answer:
- 4
Step-by-step explanation:
Substitute x = - 2 into the expression
5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answer:
57,000
Step-by-step explanation:
Assuming that the value of x is 4, and the value of y is 6, what is the value of the following expression? (x - y)**2 > y TypeError True Undefined False
Considering the given expression and the numerical values, it is found that it's value is False.
What is the expression given?The expression used in this question is given as follows:
\((x - y) \times 2 > y\)
The values considered are x = 4 and y = 6, hence:
\((6 - 4) \times 2 > 6\)
\(4 > 6\)
Hence, it is a False expression, as 4 is less than 6.
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Christie makes changes to her budget at the end of every month. What is her reason for doing this in terms of smart financial planning?
A.
She keeps changing her mind about her goals.
B.
She is reviewing her goals and aligning the budget to work toward them.
C.
Her needs keep changing, so she changes her monthly budget.
D.
She realizes that her budget is tightly aligned to her goals.
The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.
Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.
Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.
Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.
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please do complete and be quick
1. cube root - a number whose cube equals the original number.
2.irrational number -a number that cannot be written in the form a/b, where a and b are integers and b≠ 0
3.Product of powers property- To multiply two powers with the same base, keep the common base and add the exponents.
4.perfect cube- the cube of an integer.
5.perfect square- a number that is the square of an integer.
6.Power of powers property-To multiply two powers with the same exponent and different bases, multiply the bases and keep the exponent.
7.Powers of products property- when you have an exponent raised to a power ,keep the base and multiply the exponents.
8. scientific notation -a way to express a number as the product of two factors, one greater than or equal to 1 and less than 10 and the other a power of 10
9. square root - a number when multiplied by itself equals the original number
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