Answer:
1.A'(-53) yes
2. yes
3 no
Makayla mows two lawns the first lawn in 10 feet lawn and 7 feet wide the area of the second lawn is 7 times as big but has the same width as the first what it the length of the second lawn
The second lawn that Makayla mows has a length of 70 feet.
If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.
A = l x w
Area of first lawn = 10 feet x 7 feet
Area of first lawn = 70 ft^2
If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:
Area of second lawn = 7 x Area of first lawn
Area of second lawn = 7 x 70 ft^2
Area of second lawn = 490 ft^2
If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.
A = l x w
Area of second lawn = l x w
490 ft^2 = l x (7 feet)
l = 70 feet
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help pls :) it’s due in a few mins
for an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee
Answer:
will u b my frend
Step-by-step explanation:
find the ordered pairs for the x- and y-intercepts of the equation 3x - 2y = 18 and select the appropriate option below.
Answer:
Step-by-step explanation:
3x - 2y = 18
x -int
3x - 2(0) = 18
3x = 18
x = 6
(6,0)
3(0) - 2y = 18
-2y = 18
y = -9
(0, -9)
a 40-kg crate is being raised with an upward acceleration of 2.0 m/s2 by means of a rope. what is the magnitude of the force exerted by the rope on the crate?
Answer:
472 N
Step-by-step explanation:
You want the force exerted by a rope accelerating a 40 kg crate upward at 2 m/s².
Net forceThe net force on the crate must be ...
F = ma
F = (40 kg)(2 m/s²) = 80 N . . . . upward
Downward forceThe downward force due to gravity is ...
F = ma
F = (40 kg)(9.8 m/s²) = 392 N
TensionThen the force exerted by the rope must be ...
tension - downward force = net force
tension = net force + downward force = (80 N) + (392 N)
tension = 472 N
The force exerted by the rope on the crate is 472 N, upward.
<95141404393>
the magnitude of the force exerted by the rope on the crate is 80 Newtons (N).
To determine the magnitude of the force exerted by the rope on the crate, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
Given:
Mass of the crate (m) = 40 kg
Acceleration (a) = 2.0 m/s²
Substituting these values into the equation, we can calculate the force exerted by the rope:
F = 40 kg * 2.0 m/s²
F = 80 N
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Find the measure of an angle such that the sum of its complement and its supplement is 220o.
a.
The angle is 25o.
b.
The angle is 35o.
c.
The angle is 20o.
d.
The angle is 30o.
The angle is 25 degrees
How to determine the angle?Let the measure of the angle be x
So, we have
Complement = 90 - x
Supplement = 180 - x
The sum is 220
So, we have
90 - x + 180 - x= 220
Evaluate the sum
-2x + 270 = 220
Solve for x
x = 25
Hence, the angle is 25 degrees
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An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the value of each drinking cup?
*see attachment for the dimensions of the cone given.
Answer:
7.9 in³
Step-by-step explanation:
Given:
Height of cone = 4 in.
Diameter of cone = 2¾ in
Radius (r) = ½ of 2¾ = 1.375 in
Required:
Volume of the cup
Solution:
Volume of the cup = volume of a cone
Volume of a cone = ⅓πr²h
Plug in the values of π, r and h into the formula.
Volume = ⅓*3.14*1.375²*4 = 7.9 in³ (approximated to the nearest tenth)
Find the missing side of the right triangle.
options:
6.5 ft
7 ft
5.5 ft
6 ft
Answer:
6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.
Help plz I don’t know math
Answer: 9x + 6y = 234
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
it makes more sense then the others
x divided by 6 - 11 = -10
Answer:
x = 50
Step-by-step explanation:
\(\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50\)
A 1/32 scale model of a truck is 3.25 inches long. How long (in feet) is the actual truck? (Round to the nearest tenth.)
Type your answer
Answer:
104
Step-by-step explanation:
3.25 × 32 is 104
Find the equation of the straight line passing through the points (–2, 3) and parallel to y=2x-1
Answer:
\(y=2x+7\)
Step-by-step explanation:
All parallel lines have the same slope, so in slope intercept form, our line is going to look like
\(y=2x+b\)
To find b, we can plug in the x and y values from the given point (-2, 3) and solve:
\(3=2(-2)+b\\3=-4+b\\b=7\)
So our equation becomes
\(y=2x+7\)
Factor the expression using the GCF.
42 – 12 =
Answer:
30
Step-by-step explanation:
Well 42
-
12
30
The quotient of 10 and a
Answer:
10/a
Step-by-step explanation:
f scores are normally distributed with a mean of 35 and a standard deviation of 10, what percent of the scores is: (a) greater than 34?
The percentage of scores greater than 34 is 0.5398 or 53.98%.
Given that the mean of scores (μ) = 35 and the standard deviation (σ) = 10. We need to find the percentage of scores greater than 34. Since the scores are normally distributed, we can standardize the variable by using the z-score formula.
z = (x - μ) / σ
Here, x = 34, μ = 35 and σ = 10z = (34 - 35) / 10z = -0.1
We need to find the area to the right of the z-score line on the standard normal distribution table. The standard normal distribution table provides the probabilities corresponding to the z-scores, i.e. the area under the curve to the right or left of the z-score line on the distribution table. The area to the right of the z-score line represents the percentage of scores that are greater than the given value. Using the standard normal distribution table, the area to the right of the z-score line -0.1 is 0.5398.
The percentage of scores greater than 34 is 0.5398 or 53.98%.
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h.c.f of 12,18and 20
Answer:
Step-by-step explanation:
To find the HCF (highest common factor) of 12, 18 and 20, we can use the prime factorization method:
First, we write each number as a product of its prime factors:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
20 = 2 × 2 × 5
Next, we identify the common prime factors and their lowest powers. In this case, the only common prime factor is 2, and it appears with a power of 2 in the factorization of 12 and 20, but with a power of 1 in the factorization of 18. Therefore, the HCF of 12, 18 and 20 is:
HCF = 2 × 2 = 4
So, the HCF of 12, 18 and 20 is 4.
A _____________ is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.
The complete statement is a Chi-square goodness of fit test is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.
What is a goodness-of-fit test?The Chi-square goodness of fit test is known as a statistical hypothesis test that is used to determine whether a variable is likely to emerge from a specified distribution or not.
It is mostly used to evaluate whether sample data is a good representative of the total population.
Thus, the complete statement is a Chi-square goodness of fit test is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.
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in a test of purchase orders, the auditor selected a random sample of 60 items out of a population of 1,200 purchase orders. the auditor discovered $4,000 in overstatements in the sample. the company's materiality threshold is $65,000. the tolerable misstatement for purchases is $50,000. which option best describes what the auditor should do next?
With 60 random samples, the auditor should communicate the finding of the material misstatement to the appropriate level of management.
What is random sampling?
In statistics, sampling is a way of picking a subset of the population from which to draw statistical conclusions. The characteristics of the entire population may be approximated from the sample. Market research sampling may be divided into two types: probability sampling and non-probability sampling.
Now,
Based on the information provided, the auditor should evaluate whether the overstatement of $4,000 in the sample is indicative of a material misstatement in the population of purchase orders.
To do this, the auditor can calculate the projected misstatement and compare it to the tolerable misstatement for purchases.
The projected misstatement can be calculated as follows:
Projected misstatement = (Total population / Sample size) x Sample misstatement
Projected misstatement = (1,200 / 60) x $4,000
Projected misstatement = $80,000
Since the projected misstatement of $80,000 exceeds the tolerable misstatement of $50,000, the auditor should conclude that there is a material misstatement in the population of purchase orders.
As the materiality threshold of the company is $65,000, the auditor should communicate the finding of the material misstatement to the appropriate level of management and consider adjusting the financial statements accordingly. The auditor may also need to perform additional audit procedures to further evaluate the extent of the misstatement and identify the cause of the overstatements.
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217 ÷ 19 with remainder
Step-by-step explanation:
The answer is in the pic above
what does -2/7 > -4 indicate about the positions of -2/7 and -4 on the number line?
It means -2/7 is to the right of -4
Numbers on the right are larger than numbers on the left.
left < right
which flips to
right > left
-2/7 is to the right of -4
thats a lil obvious but i wont judge- ;-;
Consider the two functions which statement is true
Answer:
I think it's C
Step-by-step explanation:
Because the line is straight up and it on -2
Hope this helps if it's wrong i'm sorry but i hope it's right.:)
Rick used 4-2-3 yards to sew 3-1-2 shirts what is the unit rate of cloth he used in terms of yards per shirt Mathematics 7th grade
If Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
The unit rate of cloth he used in terms of yards per shirt is found by dividing the 3 1/2 shirts by 4 2/3 yards,
\(= 4 \dfrac{2}{3} / 3 \dfrac{1}{2} \\\\ = \dfrac{14}{3} / \dfrac{7}{2} \\\\ = \dfrac{14}{3} \times \dfrac{2}{7} \\\\ = \dfrac{4}{3}\)
Thus, if Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.
The question is incomplete
The complete question is"Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?"
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3. Para ir de su casa a la escuela, Camila debe caminar de kilómetro diariamente. Este recorrido lo realiza en 12
minutos con velocidad constante. ¿Cuánta distancia recorre Camila, cada minuto?
a) de km por min.
b) de km por min.
c) de km por min.
d) de km por
min.
Por movimiento rectílineo uniforme, Camila se desplaza a una velocidad constante de 1 / 12 kilómetros por minuto.
¿Cuál es la velocidad empleada por Camila en su recorrido?
En este problema tenemos que Camila debe viajar diariamente una distancia (s) de un kilómetro para ir a su escuela y que esto se realiza a velocidad constante (v), en kilómetros por minuto, en un tiempo (t) de 12 minutos. Físicamente hablando, tenemos que Camila se desplaza conforme a un caso cinemático conocido como movimiento rectilíneo uniforme:
v = s / t
Si sabemos que s = 1 km y t = 12 minutos, entonces la velocidad descrita por Camila en su viaje es:
v = (1 km) / (12 min)
v = 1 / 12 km / min
La velocidad constante según movimiento rectilíneo uniforme es de 1 / 12 kilómetros por minuto.
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The figure shows a circle inscribed in a triangle.
A circle is inscribed within a triangle.
To construct the inscribed circle, angle bisectors were first constructed at each angle of the triangle. Which happened next?
A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle.
A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle.
Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.
Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.
C.Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.
Answer:
the answer is c
Step-by-step explanation:
Solve for x:
X^3=216
Answer:
6
Step-by-step explanation:
x = 216^(1/3)
x = 6
Consider the translated square MS in EXAMPLE 7. Apply to this square the reflection ma- trix that reflects about the line at 45 degrees. Plot the translated square in black and the reflected square in red. Use axis ([-1,6,-1,6]); and plot the line y = x using the com- mand plot([-1,6], [-1,6]); (this command plots the line connecting the points (-1,-1) and (6,6). Add a legend and a grid. You should reproduce Figure. Include the M-file and the figure.
To apply the reflection matrix to the translated square MS in EXAMPLE 7 and plot the squares, follow these steps:
1. Create an M-file in MATLAB and define the coordinates of the translated square MS. For example, let's assume the translated square's vertices are M = (1, 2), S = (3, 4), N = (3, 2), and P = (1, 4).
translated_square = [1 2; 3 4; 3 2; 1 4; 1 2];
2. Create the reflection matrix that reflects about the line at 45 degrees (y = x):
reflection_matrix = [0 1; 1 0];
3. Apply the reflection matrix to the translated square:
reflected_square = translated_square * reflection_matrix;
4. Plot the translated square (in black) and the reflected square (in red):
plot(translated_square(:,1), translated_square(:,2), 'k', 'DisplayName', 'Translated Square');
hold on;
plot(reflected_square(:,1), reflected_square(:,2), 'r', 'DisplayName', 'Reflected Square');
5. Set the axis and plot the line y = x:
axis([-1, 6, -1, 6]);
plot([-1, 6], [-1, 6], 'DisplayName', 'y=x Line');
6. Add a legend and a grid:
legend('show');
grid on;
7. Save the M-file and run it to produce the figure.
By following these steps, you should be able to reproduce the desired figure with the translated square in black, the reflected square in red, and the line y = x. Don't forget to include the M-file and the figure in your submission.
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Wanda wrote a children's book. Printing copies of her book cost her $318.70. She also paid $21.98 for online ads. If Wanda sold 40 copies of her book for $12 each, what was her profit?
wich multiple of 7 is greater than 45 and less than 50
Answer:
49
Step-by-step explanation:
7*7=49
1.4.27
Use the number line below, where RS = 5y +3, ST = 4y + 7, and RT = 64.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y=(Type an integer or a decimal.)
Answer:
(a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
Step-by-step explanation:
Given that,
RS = 5y+3
ST=4y+7
RT=64
(a). We need to calculate the value of y
Using given data
\(RS+ST=RT\)
Put the value into the formula
\(5y+3+4y+7=64\)
\(9y=64-10\)
\(y=\dfrac{54}{9}\)
\(y=6\)
(b). We need to calculate the value of RS
Using equation of RS
\(RS=5y+3\)
Put the value of y
\(RS=5\times6+3\)
\(RS=33\)
We need to calculate the value of ST
Using equation of ST
\(ST=4y+7\)
Put the value of y
\(ST=4\times6+7\)
\(RS=31\)
Hence, (a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
pls hellpppp
The triangles below are similar find Y
Answer:
15Step-by-step explanation:
y = 15
The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
Then the ratio will be
22 / 10 = 33 / y = x / 12
From first two terms, we have
22/10 = 33/y
y = 15 units
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