Step-by-step explanation:
Step 1: Find the answer
70% * 35
0.7 * 35 = x
24.5 = x
Answer: Option A, 24.5
The answer is A.
Just multiply 70% by 35
Evaluate-2x3 - 2x2 - 4x-2 for x=-2.
A.-18
B. 16
C. -2
D. 14
Answer:
14
Step-by-step explanation:
-2x^3 - 2x^2 - 4x-2
Let x = -2
-2 (-2)^3 - 2 (-2)^2 -4(-2) -2
Exponents first
-2 (-8) -2 (4) -4(-2) -2
Then multiply
16 -8 +8 -2
Then add and subtract
14
Does the point (2,76) lie on the circle shown? Explain.
Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, 5) is 3 units.
NO
(3,0)
O No, the distance from (3, 0) to (2, V5) is not 3 units.
-5--
22
+
O No, the distance from (0, 0) to (2, V) is not 3 units.
Distance formula: V1x2 – xp)2 + (V2 - 72
Answer:
No, the distance from (0, 0) to (2, √6) is not 3 units.
Step-by-step explanation:
In the figure attached, the problem is shown clearly.
Distance formula:
√[(x2 - x1)² + (y2 - y1)²]
Distance between (0, 0) and (3, 0)
√[(3 - 0)² + (0 - 0)²] = 3
Then, a point lies on the circle shown if the distance between it and center is 3.
Distance between (0, 0) and (2, √6)
√[(2 - 0)² + (√6 - 0)²] = √[4 + 6] = √10 ≠ 3
Use the Quadratic Formula to find the exact solutions of x2 + 7x − 4 = 0. x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Final answer:
Using the quadratic formula, the exact solutions of the equation x² + 7x - 4 = 0 are x = (-7 + √65) / 2 and x = (-7 - √65) / 2.
Explanation:
To solve the quadratic equation x2 + 7x − 4 = 0 using the quadratic formula, we first identify the coefficients as a = 1, b = 7, and c = -4. The quadratic formula is x = [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]. Substituting the values we have:
x = [tex]\frac{-(7) \pm \sqrt{7^2 - 4(1)(-4)}}{2(1)}[/tex]
x = [tex]\frac{-7 \pm \sqrt{49 + 16}} {2}[/tex]
x = (-7 ± √65) / 2
Therefore, the exact solutions for x are x = (-7 + √65) / 2 and x = (-7 - √65) / 2.
The exact solutions of [tex]\(x^2 + 7x - 4 = 0\) are \(x = \frac{-7 + \sqrt{65}}{2}\)[/tex] and [tex]\(x = \frac{-7 - \sqrt{65}}{2}\).[/tex]
To find the exact solutions of the quadratic equation [tex]\( x^2 + 7x - 4 = 0 \)[/tex] using the Quadratic Formula, we start with the standard form of a quadratic equation [tex]\( ax^2 + bx + c = 0 \)[/tex] and apply the formula:
[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
In the equation [tex]\( x^2 + 7x - 4 = 0 \)[/tex], the coefficients are:
[tex]- \( a = 1 \)[/tex]
[tex]- \( b = 7 \)[/tex]
[tex]- \( c = -4 \)[/tex]
Now, substitute these values into the Quadratic Formula:
1. Calculate the discriminant [tex]\[ b^2 - 4ac = 7^2 - 4(1)(-4) = 49 + 16 = 65 \][/tex]
[tex]\[ b^2 - 4ac = 7^2 - 4(1)(-4) = 49 + 16 = 65 \][/tex]
2. Substitute [tex]\( b \), \( a \)[/tex], and the discriminant into the formula:
[tex]\[ x = \frac{-7 \pm \sqrt{65}}{2(1)} \][/tex]
[tex]\[ x = \frac{-7 \pm \sqrt{65}}{2} \][/tex]
So, the exact solutions of the equation [tex]\( x^2 + 7x - 4 = 0 \)[/tex] are:
[tex]\[x = \frac{-7 + \sqrt{65}}{2} \quad \text{and} \quad x = \frac{-7 - \sqrt{65}}{2}\][/tex]
Matias' stepmother uses a 30%-off coupon to buy the ingredients for huevos rancheros.
She spends $28.
» What is the regular price, r, of the ingredients before the discount?
Enter the amount
Answer:
$40Step-by-step explanation:
To determine the regular price r of the ingredients before the discount, we have to consider that $28 represents 70% of the regular price as this amount has a 30% discount and with that, find the price that represents 100%:$28 → 70% r ← 100%r=($28*100%)/70%= $40The regular price r of the ingredients before the discount is $40.The regular price, r of the ingredients before the discount is $40.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Amount spent by Matias' stepmother to buy the ingredients for huevos rancheros = $28
This is the discounted price after a 30% off discount.
Let the regular price be x.
x - (30% of x ) = 28
x - (0.3 x) = 28
0.7x = 28
x = 28 / 0.7
x = 40
Hence the original price of the items is $40.
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Pleaseee help my work is due today!! Thank you
Answer:
B
Step-by-step explanation:
Answer:
denominator > numerator
Step-by-step explanation:
The degrees can be found in the "power" that they have.
The denominator has a degree of a power of 2 (3x²). The numerator has a degree of only 1 (5x). Therefore, by degrees, the denominator is greater than the numerator.
~
which of the following is a rational number
[tex] \sqrt{6} [/tex]
[tex]2\pi[/tex]
[tex] \sqrt{196} [/tex]
[tex] \sqrt{8} [/tex]
Find the derivative of f(x) = 6 divided by x at x = -2.
6
3/2
-3/2
-6
Answer:
f(x) = 6/x
f'(x) = -6/x²
f'(-2) = -6/4 = -3/2
An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (0, 0). The major axis is 4 units long. The vertices are 4 units to the left and right of the center. The foci are units to the left and right of the center on the major axis. The directrices are vertical lines.
Answer:
The vertices are 4 units to the left and right of the center.
The foci are units to the left and right of the center on the major axis.
The directrices are vertical lines.
Step-by-step explanation:
The statements 2, 3 and 4 are correct. The ellipse graph shows that the foci are units to the left and vertices are 4 units to the left. The center os the ellipse is not at the origin (0,0) so the statement 1 is not correct. Ellipse is an oval shape with 2 other points known as foci. The foci of the ellipse are at left and right axis marked from the center.
Answer:
3 4 5
Step-by-step explanation:
Write an explicit formula for the sequence. Use this, to find the 80th term of the sequence that begins: -3,1,5,9....
Answer:
see explanation
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
9 - 5 = 5 - 1 = 1 - (- 3) = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 4, thus
[tex]a_{n}[/tex] = - 3 + 4(n - 1) = - 3 + 4n - 4 = 4n - 7 ← explicit formula
Thus
[tex]a_{80}[/tex] = 4(80) - 7 = 320 - 7 = 313
A right tringle ABC is shown. What is cos A?
Answer:
we need the triangle to answer that...
Step-by-step explanation:
I'm sorry
Russell wants to purchase a computer that costs $1575. With a larger monitor, the cost of the computer will go up 8%. How much will an upgraded computer cost? $1701 $1458.33 $1449 $1712
First, we need to find 8% of 1,575. To do so we have to divide 8 by 100, then multiply the quotient by 1,575.
8% ⇒ 0.08
1,575 × 0.08 = 126
Now add the 8% increase to the original cost.
1,575 + 126 = 1,701
Answer:Option 1: $1,701.
I hope this helps :)
What graph equation is parallel to the graph 8x - 2y = 30?
Answer:
Any graph with the same slope but with different y intercepts is parallel to that. For example in y = mx + b form the equation will be
y = 4x - 15
So, some equations that will be parallel
y = 4x
y = 4x - 16
y = 4x +3
Hoped this helped ya :)
Answer:
y=4x-5
Step-by-step explanation:
First step is to turn the given equation into slope intercept form y=mx+b.
The goal is to isolate y: first subtract 8x from both sides and to completely simplify the equation divide by -2 on both sides:
8x-2y=30
-2y=-8x+30
y= -8/-2x + 30/-2
y=4x-15
** when adding a negative, it's the same as subtracting, so I just changed it
Now you have your equation, we want to focus on the slope. If two equations have the same slope, they won't ever intersect bc they grow at the the same rate.
Use this equation: y=4x+b and bc you're trying to find the equation of another line, pick an ordered pair (it doesn't matter what it is) and plug it into x and y to solve for b (the y-intercept) in order to fulfill y=mx+b
I'm using (2,3):
3=4(2)+b
3=8+b
-5=b
Now you have b, plug it back into y=4x+b (omit the coordinates you put in) and you'll get:
y=4x-5 as your answer
Classify the triangle shown below. Check all that apply.
The shown triangle is scalene and right, so the correct options are C and F.
How to identify the shown triangle?
First, we can see that the 3 sides have different measures. So the triangle is Scalene (and we discard options A and E).
We also can see that one of the angle is 90°, which means that we have a right triangle. So option C is correct. (And we discard B and D).
Concluding, we have a scalene right triangle. So the correct options are C and F.
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Answer:
Right and Scalene
Step-by-step explanation:
How can you construct three-dimensional figures
from different views?
Answer:
Yes
Step-by-step explanation:
Final answer:
To construct three-dimensional figures from different views, one must employ orthographic drawing techniques, which include selecting a vanishing point and systematically drawing construction lines to create depth.
Explanation:
Constructing three-dimensional figures from different views is a skill often associated with orthographic drawings. This process allows you to visualize an object as if you were viewing it from multiple perspectives, ultimately creating a three-dimensional representation. The steps to follow are quite systematic:
Begin by drawing one face of the cube. Select a suitable vanishing point.
Draw faint construction lines from each corner of the cube face to the vanishing point to establish depth.
Next, draw horizontal and vertical lines for the back face of the cube, ensuring that each corner connects with the corresponding construction line.
Finally, outline the shape of the cube with darker lines to make it distinct.
With practice, you'll develop the ability to 'see' the three dimensions in the drawing. Visualizing three-dimensional figures can also be enhanced by using models or multiple photographs, as not all details can be captured from a single angle. Three-point perspective, where vanishing points are placed above and below the horizon line, can also aid in this visualization process.
Which number is a common factor of 27 and 45?
Answer:
solution given:
1st expression=27=3×3×3
2nd expression=45=5×3×3
here
common factor =3×3=9
The area on a wall covered by a rectangular poster is 180 square inches. The length of the
poster is 1.25 times longer than the width of the poster. What are the dimensions of the
poster?
The length of the poster is
The width of the poster is
inches.
inches.
Final answer:
The dimensions of the poster are 15 inches in length and 12 inches in width.
Explanation:
The area of a wall covered by a rectangular poster is 180 square inches, and the length is 1.25 times longer than the width. To determine the dimensions of the poster, we will let the width be w inches. Therefore, the length would be 1.25w inches. The area of a rectangle is given by the formula length × width. Substituting our expressions for length and width into the formula for area gives us the equation 1.25w × w = 180. Simplifying this equation will help us find the value of w.
1.25w^2 = 180
w^2 = 180 / 1.25
w^2 = 144
w = √144
w = 12 inches (width)
Now that we have the width, we can find the length:
Length = 1.25 × 12 = 15 inches
The dimensions of the poster are:
Length: 15 inches
Width: 12 inches
What is the next term of the arithmetic sequence?
-8, -14, -20.–26,
Answer:
-32
Step-by-step explanation:
Subtract 6 to get next term.
Answer:
-32
Step-by-step explanation:
I'm saying this is the answer because if you look at the pattern of numbers, it keeps decreasing by 6. If you continue this sequence, you will find that you will just have to follow the same pattern of decreasing by 6. This will lead you to get -32 as your next number in your arithmetic sequence.
(Hope this helped you)
The first table that Cory designs will seat 8 people. If the diameter is 5 feet, what is the area? The area in terms of pi is Pi ft2. Approximating 3.14 for Pi, the area rounded to the nearest tenth is ft2.
The area of a circle with a diameter of 5 feet is calculated using the formula A = πr². Halving the diameter to find the radius, then squaring it, multiplying by π (approximated as 3.14), and rounding to the nearest tenth, gives an area of 19.6 ft².
Explanation:The student's question involves finding the area of a circle with a given diameter where the circle is the table's top designed by Cory. To find the area, one must use the formula A = πr², where A is the area, π (pi) represents the mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Since the diameter of the table is 5 feet, the radius will be half of that, which is 2.5 feet. Plugging this into the formula, we get A = π(2.5²) or A = π(6.25). Assuming π as 3.14, we approximate the area to 19.6 ft² after rounding to the nearest tenth.
Final answer:
To find the area of Cory's circular table with a 5-foot diameter, we calculate the radius as half the diameter (2.5 feet) and use the area formula A = πr² to get approximately 19.6 square feet when using 3.14 for pi.
Explanation:
The question asks us to find the area of a circular table that Cory designs, which seats 8 people and has a diameter of 5 feet. To calculate the area of a circle, we use the formula A = πr², where 'A' is the area, 'π' (pi) is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.
First, we need to find the radius, which is half of the diameter, hence the radius is 5 feet / 2 = 2.5 feet. Using the formula, the area in terms of pi is A = π(2.5 ft)². When we approximate π as 3.14, the area rounded to the nearest tenth in square feet is 3.14 * (2.5 ft)² = 19.625 ft², which can be rounded to 19.6 ft².
Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes’s eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?
He should take the sample as is because he randomly surveyed students in each of Mr. Barnes’s classes.
He should also take a sample from Ms. Lopez’s and Mrs. Frank’s classes so that each student has the same chance of being chosen.
He should also take a sample from each of the other history classes in all of the other grades in the middle school.
He should survey all the students in all the history classes to make sure he collects enough data.
Answer:
In order for his sample to be representative of all middle school students Leo: C) Should also take a sample from each of the other history classes in all of the other grades in the middle school.
What is sample?
Sample can be defined as the data that is randomly collected by a researcher so as to reach or draw a conclusion.
Since only one grade is being surveyed which is Mr. Barnes’s eighth-grade history classes, he should as well carryout the survey on Ms. Lopez and Mrs. Frank history class.
In conclusion he should also take a sample from each of the other history classes in all of the other grades in the middle school.
Final answer:
Leo should improve his survey method by sampling students from all eighth-grade history classes, including those of Ms. Lopez and Mrs. Frank, to ensure that each student has an equal chance of being selected and to obtain a representative sample of the middle school population.
Explanation:
Leo aims to determine the average number of texts middle school students send in a day. To ensure his sample is representative of the entire middle school student population, he should consider the sampling method. While he randomly surveyed students from Mr. Barnes’s eighth-grade history classes, only selecting students from a single teacher's classes might not guarantee a representative sample.
Thus, Leo should extend his survey to include students from Ms. Lopez’s and Mrs. Frank’s classes, which will give every student an equal chance of being chosen. This is important because it would include a wider range of perspectives and reduce the chance of sample bias. If Leo's goal is to understand the average texting behavior of all middle school students, and not just those in eighth grade, he should ideally sample students from other grades as well. However, if his focus is specifically on eighth graders, then sampling from all eighth-grade history classes should suffice.
the ending balance on an investment is $6,631.43. if the principal was invested at 8.15% compounded quarterly for 42 months, what was the principal
Answer:
13.1%
Step-by-step explanation:
What is the slope in the equation: y=4x+3
Answer:
4
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]m=slope[/tex]
[tex]b=y-intercept[/tex]
[tex]y=4x+3[/tex]
4 is your slope.
Answer: 4
Step-by-step explanation:
I need help pleaces
P(8) = [tex]\frac{12}{50}[/tex] = [tex]\frac{24}{100}[/tex] = 24%
2. Find the inverse function of f(x) = 5x-4. Show your work."
Look at the attached picture
Hope it will be helpful to you.
Help? I’m not really understanding this.
Answer:
x = 109
Step-by-step explanation:
[tex](x + 12) \degree + 59 \degree = 180 \degree \\ (sum \: of \: exterior \: angles \: on \: same \: side \: \\ of \: transversal) \\ (x + 71) \degree = 180 \degree \\ x + 71 = 180 \\ x = 180 - 71 \\ \purple{ \bold{ x = 109}}[/tex]
I'LL MAKR U BRAINLIEST AND GIVE YOU 50 POINTS IF YOU ANSWER THIS ASAP PLEASEEE! THANK U SO MUCH! PIC IS INCLUDED.
Answer:
15 containers
Step-by-step explanation:
If the circus sells an average of 28,200 grams of peanuts you can expect that it would be close to that number again, it is equal to 28.2 kilograms. Since it only ships in 2 kilogram containers then you would want to buy 15 of them since 15*2=30, which is above what we need.
Answer:
15 I think
Step-by-step explanation:
Find the volume of the prism.
5 units
2 units
8 units
Answer:
80 units.
Step-by-step explanation:
If it is a rectangular prism, then it is 5×2×8, which is 10, from the 5×2 and 8. 10×8 is 80. So the final answer is 80 units cubed. Hope this helps! If you are still confused, please comment so I can help you!
Rectangular Prism: 80 units^3
V = lwh = 5(2)(8) = 80 units^3
Triangular Prism: 40 units^3
V = [tex]\frac{bhl}{2}[/tex] = [tex]\frac{5(2)(8)}{2}[/tex] = [tex]\frac{80}{2}[/tex] = 40 units^3
The circumferences of WNBA basketballs follow a normal distribution where mean = 29.0 ; and standard deviation = 0.1 inches.
What proportion of WNBA basketballs are SMALLER than 29.1 inches? Round to the nearest percent
Answer:
[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
[tex] P(z<1) =0.8413[/tex]
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
Step-by-step explanation:
Let X the random variable that represent the circumferences of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(29,0.1)[/tex]
Where [tex]\mu=29[/tex] and [tex]\sigma=0.1[/tex]
We are interested on this probability
[tex]P(X<29.1)[/tex]
And the best way to solve this problem is using the normal standard distribution and the z score given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
If we apply this formula to our probability we got this:
[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
[tex] P(z<1) =0.8413[/tex]
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x< or = to 72)?
Answer:
P( Z <= -1) = 0.1587
Step-by-step explanation:
ok, mean u = 79
s = 7
find P( x <= 72)
P( (x - 79)/7 <= (72 - 79)/7 ) = ?
P( Z <= -1) = 0.1587 from Z-scores table
jose read 4 books in 6 months. what was his rate of reading in months per book?
Answer:
67/1 or about 67% of a book per month
Step-by-step explanation:
Below is the graph of y=b?. Find b.
b =
DONE
The value of b in the given equation is 2.
What is an exponential function?An exponential function in mathematics can be defined as a mathematical function is in form f (x) = aˣ, where “x” is the variable and where “a” is known as a constant which is also known as the base of the function and it should always be greater than the value zero.
Given is graph, we need to determine the value of b in the y = bˣ,
Here as we can see, that the curve has a base at -2,
Therefore the equation of the graph will be y = 2⁻ˣ
Hence, the value of b in the given equation is 2.
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