The statement that best describes Jace's work is D. Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56.
How can the the correct sentence be known?The concept that will be used here is word problem solution , then we need to interprete it then perform the neccessary simplification. . We were told that the sentence as an equation is 56 is 14 more than a number.
14+ = 56
then we can represent the number as X
then input into the equation as:
14+X = 56
x=56-14
=42
Therefore, option D is correct.
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complete question:
Jace wrote a sentence as an equation.
56 is 14 more than a number.
14+ = 56
Which statement best describes Jace's work?
Jace is not correct. The phrase more than suggests using the symbol > and Jace did not use that symbol.
Jace is not correct. He was correct to use addition, but the equation should be 56+ p = 14
Jace is not correct. The first number in the sentence is 56, so the equation should start with 56.
Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56.
please help me on this
Answer:
[tex]\frac{2}{30}[/tex]
Step-by-step explanation:
[tex]\frac{4}{6}-\frac{3}{5} \\ \\ =\frac{2}{3}-\frac{3}{5} \\ \\ =\frac{10}{15}-\frac{9}{15} \\ \\ =\frac{1}{15} \\ \\ =\frac{2}{30}[/tex]
It would be 1/15 but thats not an option, if you need help try math way doht com, thats the best thing u can use for math problems
Andrea needs to line the interior sides of a gift box in the shape of a regular octagonal prism with decorative paper. If the box is 2.5
Inches deep, what is the amount of decorative paper she needs to use?
20 in²
100 in ²
12.5 in2
40 in²
5 in
Answer:
12.5 in²
Step-by-step explanation:
From the top of a 450-foot cliff, a hiker looks down at a river below. Her angle of
depression to the near and far banks of the river are 80° and 50° respectively, as
shown in the picture. Based on this information, how wide is the river?
The width of the river is calculated by the tangent of the angle will be 293 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Observing a river below from the top of a 450-foot cliff, a hiker. Her depression lies at an angle of 80° to the near bank and 50° to the far bank of the river.
The horizontal distance when the angle is 80° is given as,
tan 80° = 450 / x₁
x₁ = 84.64 feet
The horizontal distance when the angle is 50° is given as,
tan 50° = 450 / x₂
x₂ = 377.59 feet
The width of the river is given as,
W = x₂ - x₁
W = 377.59 - 84.64
W = 292.95
W ≈ 293 feet
The width of the river is calculated by the tangent of the angle will be 293 feet.
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Answer the question below
Answer:
1. Kevin has 12 pieces of paper.
2. Including Sybill and her friends, each person will get 1/8 of the 1/2 slice.
Step-by-step explanation:
1. This is because if 1 piece of paper turned divided into fourths would 4/1 or 4 “fourths” of paper. So multiply that by 3 since there is 3 pieces of paper and we are following the same steps. 3 x 4 = 12. Hence if you divide 3 pieces of paper into fourths, you will have 12 fourths.
2. Since we are splitting the 1/2 piece four (which includes sybill and her 3 friends) ways, the equation would be: 1/2 divided by 4
Divide:
1/2 divided by 4-
1/2 : 4 = 1/2 · 1/4 = 1 · 1/2 · 4 = 1/8
Hence, each friend and Sybill her self will receive a 1/8 piece.
A car is bought for £8500
In it's first year it's price reduces by 10%
Each year after that it decreases by 5%
What is the price after 3 years?
Answer: The price after 3 years is £6904.15
Step-by-step explanation:
After 1 year, 8500*0.9= 7650
7650*0.95=7267.5
7267.5*0.95=6904.125
The price after 3 years is £6904.15
Please someone help me
Question: A line passes through the point (9, 5) and has a slope of -4/3. Write an equation in slope-intercept form for this line.
Answer:
[tex]y=-\frac{4}{3}x+17[/tex]
Given:
x = 9
y = 5
m = -4/3
Step-by-step explanation:
Slope intercept form is y = mx+b
Plug in x, y, and m to solve for b.
[tex]5=-\frac{4}{3}(9)+b[/tex]
[tex]b=5+\frac{4}{3}(9)=17[/tex]
Now that you have b, plug in m and b back into the equation
[tex]y=-\frac{4}{3}x+17[/tex]
Simplify the following by rationalizing the denominator. need rightnow pahelp.
Answer:
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
Exact Form:
3√2+2
7
Decimal Form:
0.89180581
…
Write the function in vertex form for this parabola focus=(3, 2.5)
The equation of parabola in vertex form is [tex]$$\boxed{x^2 - 6x + 9 = 0}$$[/tex]
How to find the equation of parabola?To write the equation of a parabola in vertex form, we use the following formula:
[tex]$$(x-h)^2=4p(y-k)$$[/tex]
where (h,k) is the vertex and p is the distance between the focus and the vertex.
Given that the focus of the parabola is at (3, 2.5), we can determine that the vertex of the parabola is also at (3, 2.5). Let's substitute these values into the formula:
[tex]$$(x-3)^2=4p(y-2.5)$$[/tex]
To find the value of p, we need to use the fact that the distance between the focus and vertex is p. The distance formula is:
[tex]$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$[/tex]
Substituting the values we know:
[tex]$$\begin{aligned} d &= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \ &= \sqrt{(3 - 3)^2 + (2.5 - 2.5)^2} \ &= 0 \end{aligned}$$[/tex]
Since d = 0, we know that p = 0 and the equation simplifies to:
[tex]$$(x-3)^2=0$$[/tex]
Expanding the left side:
[tex]$$x^2 - 6x + 9 = 0$$[/tex]
So the equation of the parabola in vertex form is:
[tex]$$\boxed{(x-3)^2=4 \cdot 0 (y-2.5)}$$[/tex]
Or
[tex]$$\boxed{x^2 - 6x + 9 = 0}$$[/tex]
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32 +2³-4 please I need this rn :)
The answer is 36. you basically add and subtract to the left and right.
32+8= 40
40-4=36
(you get the 8 because 2 x 2 x 2 = 8)
True or False: A simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.
True. A simple random sample is a type of sampling method that is used to select a subset of observations from a larger population.
The key characteristic of a simple random sample is that each observation in the population has an equal probability of being selected to be part of the sample.
Mathematically, this can be expressed as follows: Let N be the population size, and let n be the sample size. Then, the probability of any specific sample of n observations being selected from the population is given by the formula:
P(Sample) = (n!/N!)/(N-n)!
where n! represents the factorial of n (n factorial), and (N-n)! represents the factorial of N-n.
This means that if we were to draw multiple simple random samples of the same size from the same population, each sample would have an equal probability of being selected.
In conclusion, a simple random sample is a method of selecting a subset of observations from a population that ensures that each observation has an equal probability of being selected, and that each sample has an equal probability of being selected.
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What is the scale factor?
Answer:A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Step-by-step explanation:
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
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what is the distance between the points -3,-8 and 6,-8
The distance between the points -3,-8, and 6,-8 is 3 units.
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
Look at the provided points.
Calculate the distance between the points using the given formula.
Given points are -3,-8 and 6,-8
Given two points lies the parallel to X-axis
The distance between the two points is
A (-3,-8) and B(6,-8) = X₂ - X₁
6 - 3 = 3 units.
Therefore, the distance between two points -3,-8 and 6,-8 is 3 units.
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a family buys a studio apartment for $140,000. they pay a down payment of $42,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $7,000 down payment be?
Answer:
a: 30%
b: 5%
Step-by-step explanation:
a: (42,000/140,000)*100
b: (7,000/140,000)*100
Raul is wrapping a cylindrical package with wrapping paper. He has two different packages to choose from:
Package A has a radius of 1.5 inches and a height of 6 inches
Package B has radius of 2 inches and a height of 3 inches
He has 70 in2 of wrapping paper and he will need to cover all sides of the package.
Using the formula SA = 2π
rh + 2π
r2, determine which of the following packages Raul will have enough wrapping paper to cover.
Package A has a surface area of
Choose...
in2. Package B has a surface area of
Choose...
in2.
Raul will have enough paper to wrap
Choose...
The package that will have enough wrapping paper to cover is package B
Package A has a surface area of 70. 65 in²
Package B has a surface area of 62. 8 in²
How to determine the surface areaThe formula for the surface area of a cylinder is expressed as;
SA = 2πrh + 2π
Given that the parameters are;
r is the radiush is the height of the cylinderFor Package A, substitute the values
= 2 × 3.14 × 1.5 × 6 + 2 × 3.14 × (1.5)²
Multiply the values, we have;
= 70. 65 in²
For package B, substitute the values, we get;
= 2 × 3.14 × 2 × 3 + 2× 3.14 × (2)²
Multiply the values
= 62. 8 in²
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Kayla has a coupon for $1.50 off the purchase of a toothbrush and toothpaste. The toothbrush is $1.69 and the toothpaste is $2.24. She is also getting some dental floss for $2.39, a toothbrush case for $1.65, and mouthwash for $4.83. She also has a coupon for $.80 off the mouthwash. What is the final price?
How to solve for r
100 000= 8000(1+ r/12000)^72
without using GDC
I don't understand how GDC works :(
I know the answer is 3.72% but I need to show how I got it
The solution for r in the equation is 428.43
How to determine the solution for rFrom the question, we have the following parameters that can be used in our computation:
100000 = 8000(1+ r/12000)^72
Divide through by 8000
So, we have
12.5 = (1+ r/12000)^72
Take the 72th root of both sides
So, we have
1 + r/12000 = 1.03570211065
Subtract 1
r/12000 = 0.03570211065
So, we have
r = 428.4253278
Hence, the value of r is 428.43
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what is c over 2 < -0.75=
The value of c lies in the interval [tex](-\infty, -1.5)[/tex]
What is inequality?Inequality is a statement that shows the relationships the two expressions are not equal. It is defined by the symbols like <, >, ≤, ≥.
[tex]\frac{c}{2} < -0.75[/tex]
To find the value of c:
[tex]\frac{c}{2} < -0.75[/tex]
Multiply both sides by 2 we get,
[tex]2\frac{c}{2} < (-0.75)*2[/tex]
⇒c < -1.5
Therefore c<-1.5 is the solution for the given inequality.
It can also be represented in the interval form.
This is given in the interval notation [tex](-\infty, -1.5)[/tex]
Hence, the value of c lies in the interval [tex](-\infty, -1.5)[/tex]
Complete question:
What is the values that c can take when [tex]\frac{c}{2} < (-0.75)[/tex]?
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e by 1
3. Mr. Bauer placed the letters in the word
BASKETBALL into a bag. What is the
probability of choosing the letter B, not
replacing it, and then choosing a vowel?
Answer: The word "BASKETBALL" has 2 B's and 3 vowels (A, E, A). The probability of choosing the letter B, not replacing it, and then choosing a vowel is:
(2/10) * (2/9) * (3/8) = 6/90 = 1/15
So, the probability of choosing the letter B, not replacing it, and then choosing a vowel is 1/15.
Step-by-step explanation:
Need help, please, thanks!
The earnings in the simple interest and compound interest for a 5 year period is in the table below where S is for Suzanne and D is for Derrick
S - annual interest S - Balance D - annual interest D - Balance
Year 1 147 3147 147 3147
Year 2 294 3294 301.2 3301.2
Year 3 441 3441 462.96 3462.96
Year 4 588 3588 632.65 3632.65
Year 5 735 3735 810.65 3810.65
How to solve simple interestSimple interest is calculated by the formula
principal x time x rate / 100
In the problem
Principal = $3000
rate = 4.9%
time is varying from 1 to 5
For the first year we have
= 3000 * 1 * 4.9 / 100
= 147
Compound interest the formula is
Principal(1 + rate)^(year) - 1)
For the first year, (the rate is already divided by 100 to get 0.049) we have
= 3000(1 + 0.049)^(1) - 1)
= 147
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Gino records how much milk his family drinks each week in February. He graphs the volumes, to the nearest one fourth of a gallon, on the line plot below. What is the total volume of milk Gino's family drank on the 2 weeks where they drank the most milk?
The total volume of milk would be 1/2 gallons.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that,
Volume = 1/4 gallons
The number of weeks = 2
So, the total volume =
1/4 × 2 = 1/2 gallons
Hence, the total volume of milk would be 1/2 gallons
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based on the t-test assuming unequal variances on the t-testunequal worksheet, is the difference in mean mpg between 4 and 8 cylinder cars statistically significant?O Yes, the means appear to be similar. O No, the ratio of the variances is not greater than 4:1. O No, the calculated t Stat value is less than the critical t value. O Yes, the calculated t
When performing a t-test assuming unequal variances, the test statistic is a t-value, which is calculated by dividing the difference between the means of the two groups by the standard error of the difference.
To see if the difference in mean mpg between 4 and 8 cylinder cars is statistically significant, compare the estimated t-value to a critical t-value based on degrees of freedom and desired level of significance. The difference is regarded statistically significant if the estimated t-value is bigger than the crucial t-value.
As a result, the right response depends on the estimated t-value, the crucial t-value, and the level of significance utilized in the test.
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[tex]1\frac{1}{3} :2\frac{1}{3}[/tex]
Answer:
Given: [tex]1\frac{1}{3} :2\frac{1}{3}[/tex]
To simplify this ratio, convert the mixed fractions into improper fractions:
[tex]\frac{4}{3}[/tex] : [tex]\frac{7}{3}[/tex]
Then to divide ( because ratio = division ) turn around [tex]\frac{7}{3}[/tex] and multiply:
[tex]\frac{4}{3} * \frac{3}{7}[/tex]
Then multiply:
[tex]\frac{12}{21}[/tex]
Finally simplify this fraction by dividing the denominator & numerator by 3:
= [tex]\frac{4}{7}[/tex]
...
y = x -2
Slope
Intercept where is m= and b=
Answer:
Slope: 1
Y-Intercept: -2
y=x-2
Graph it by plotting a point at (0,-2) and then by going up one to the right. One up and then one to the right and repeat twice. Now you can graph this easily. Hope this helped!!
Step-by-step explanation:
PLEASE HELP 25 POINTS!! NO LINKS
Answer:
C i think
Step-by-step explanation:
What is X and Z. please tell me
x = 5
z = 118°
Step-by-step explanation:
opposite angles are equal
(6x + 32)° = 62°
6x = 62° - 32°
6x = 30°
x = 5°
angles on a straight line add up to 180
180° = 62° + z
z = 180° - 62°
z = 118°
What does p and p hat mean?
In statistics, p represents the true proportion p hat represents the sample proportion
p represents population that has a certain characteristic or falls into a certain category. It is a fixed, unknown value that we are trying to estimate.
p hat represents the sample proportion, which is an estimate of the true proportion based on a sample of the population. It is calculated by dividing the number of individuals in the sample with the characteristic or in the category by the total sample size.
For example, if we want to estimate the proportion of students who prefer chocolate ice cream, we could take a sample of 100 students and find that 60 of them prefer chocolate.
In this case, p hat would be 60/100 or 0.6. This is our estimate of the true proportion, p, of all students who prefer chocolate ice cream.
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An online app charges $0.99 to download a song and $7.99 membership fee. (A)Write an expression that gives the total cost in dollars to download “s” songs. (B)Then, find the cost of downloading 12 songs. Incorrect work/solutionCorrect work/solution (A) s(0.99 + 7.99) = 0.99s + 7.99s = 8.98s = (B) 8.98(12) = 8.98 x 12 = $107.76 for 12 songs Part A:Explain what this student did incorrectly.
Answer: The student correctly wrote an expression to find the total cost of downloading "s" songs. The expression is: 0.99s + 7.99. However, they made a mistake when they simplified the expression to 8.98s. The expression should have remained as 0.99s + 7.99, because the $7.99 membership fee does not change regardless of how many songs are downloaded.
In Part B, the student correctly used the expression to find the cost of downloading 12 songs. They multiplied 8.98 by 12 and got the correct answer of 107.76.
Step-by-step explanation:
HELP PLSS I NEED HELPPPPP
The required measures of length are, as follows:
GF = 11, GE = 28, DF = 28, HF = 14, and DG = 25.75.
What is a rectangle?A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.
The lengths are given in the question, as follows:
DE = 11
GH = 14
Since DE and GF are opposite sides then both are equal.
So GF = 11
Here GH and HF are equal,
HF = 14
∵ GE = GH + HE = 14 + 14 = 28
As we know that the two lengths of the diagonals are equal in the rectangle.
So GE = DF
So DF = 28
Using the Pythagorean theorem, we have
DG² + GF² = DF²
DG² + 11² = 28²
DG² + 121 = 784
DG² = 663
DG = 25.75
Thus, the measures are, as follows:
GF = 11, GE = 28, DF = 28, HF = 14, and DG = 25.75.
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Someone please help me with these.
The equations in the slope-intercept form are
p = 3b + 2 and p = (5/2)b + 15/2.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
From the table and scatter plot;
(a). The line for 'Build it' passes through (1, 10) and (3, 15),
then the equation of the line is,
p = (5/2)b + 15/2
Similarly, the equation of the line-'All things home' is,
p = 3b + 2.
(b) the graphs of the lines are given in the attached image.
(c) The equation in the slope-intercept form;
p = 3b + 2 and p = (5/2)b + 15/2.
(d) When b = 65,
then p = 3(65) + 2 and p = (5/2)(65) + 15/2.
So, p = 197 and p = 170
Therefore, all the required values are given above.
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from 2005 to 2018, the annual investment in renewable energy sources in the united states increased from $11.4 billion to $46.5 billion. calculate the percent change in renewable energy investment in the us from 2005 to 2018.
To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:
Percent change = ((Final value - Initial value) / Initial value) * 100%
In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:
Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%
= ($35.1 billion / $11.4 billion) * 100%
= 3.085 * 100%
= 308.5%
So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.