the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards
Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
Consider the function g (x) = StartFraction x squared + 7 x minus 18 Over x squared + 2 x minus 8 EndFraction. Which type of discontinuity does the function have at x = –4? jump mixed infinite removable
Answer:
D. Removeable
Step-by-step explanation:
ed2021
Answer:
It's actually C, infinite!
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEE
Answer:
20 feet
Step-by-step explanation:
[tex]1)\ A = \frac{b * h}{2}[/tex]
[tex]2)\ 120 = \frac{12b}{2}[/tex]
[tex]3)\ 12b = 240[/tex]
[tex]4)\ b = 20[/tex]
can someone answer this i am in forth grade 7/8 x 3 =
Find the area of the composite figure.
A. 360 sq m
B. 720 sq m
C. 1000 sq m
D. 1152
Answer:
B 720 sq m
Step-by-step explanation:
A= 24^2 + 12^2
= 720 sq m
Which is the graph of f(x) = 3x?
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]
[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]
[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]
[tex]$n_1=39, \ \ n_2=37$[/tex]
M.E. , Margin of error,
[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]
[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]
[tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]
= 9.222
s = 3.03
[tex]$t_{74,0.05} = 1.99$[/tex]
[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]
= 1.4
Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]
= [-3.2, -0.4]
Therefore, the lower bound is -3.2
If the circumference of a circle is 44 cm, find its area
Answer: 154 sq cm
Step-by-step explanation:
The factors 11 and 12 are a factor pair of 137.
O A. True
B. False
Answer:
False
Step-by-step explanation:
[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]
Solvex2
- 4x=21
using the zero product property.
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
(x + 3) (x - 7) = 0
Thus, The answer is (x + 3) (x - 7) = 0
-TheUnknownScientist
What single transformation was applied to triangle A to get triangle B? Links will be reported
Answer:
Rotation:
Step-by-step explanation:
Translation is usually movements like up, down, left, right.
Dilation is when one shape is bigger/smaller than the other, but still congruent.
Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.
What is the place value of 9 in the number 8.0231497?
Answer:
Tens
Step-by-step explanation:
it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.
Write at least three expressions that are equivalent to 3(2x - 5)
Answer:
6x - 15
6x - (5 · 3)
(3 · 2x) - 15
So, for #1, we can just simplify 3(2x - 5) to get another expression:
3(2x - 5),
6x-15
For the next one, we could make a new equation that equals 6x-15:
(3x)+(3x)+(5 *-3)
Then for the last one, how about rewrite it so all of the values are inversely negated?
3(2x - 5),
-3(-2x +5)
The mean temperature for the first 7 days in January was 6 °C.
The temperature on the 8th day was 3 °C.
What is the mean temperature for the first 8 days in January?
Answer:
GIME SOME POINTS
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 4.5
HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?
A) 1/2
B) 2
C) 3/2
D) 4
E) 6
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
E) 6
Step-by-step explanation:
a/b=6, b/x=36, and a=36
=>a = 6b
36 = 6b => b =6
b/x = 36 => x = b/36 = 6/36
so, 1/x = 36/6 = 6
Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]1\ hr = 10\ miles[/tex]
Required
The graph that shows the number of miles in x hours
We have:
[tex]1\ hr = 10\ miles[/tex]
Multiply both sides by x
[tex]x * 1hr = 10miles * x[/tex]
[tex]xhr=10x\ miles[/tex]
So, the function is:
[tex]f(x) =10x[/tex]
Use two unit multipliers to convert 4000 square inches to square feet.
Answer:
(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2
Step-by-step explanation:
4,000 Square Inches =
27.777778 Square Feet
plz help me 5th grade work
Answer:
8 AND 12
Step-by-step explanation:
MAURICE 8
MIRANDA 12
What is the answer to this question
Hey I need some help with this
Answer:
with what plz explain the question
I need help with this question please
Answer:
The answer is 4
Step-by-step explanation:
Use what you know about triangles to classify this triangle.
a triangle with three equal angles and three equal sides
Question 1 options:
Acute isosceles triangle
Obtuse scalene triangle
Equiangular triangle
Obtuse isosceles triangle
Answer: C equilateral triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test :)
What is the slope of the line
Answer:
3
Step-by-step explanation:
There are 25 pineapples in a basket. Each pineapple weighs 100 grams. What is the total weight off all the pineapples in the basket? Please use complete sentences when answering the question.
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertizer 1.50 0.1879 6.12 0.000
S= 0.8404; R-Sq= 82.4% R-Sq(adj) = 80.28%
Required:
What is the equation of the least squares regression line from this sample?
Answer:
Y = 10.1 + 1.50x
Step-by-step explanation:
From the data contained in the computer output for linear regression
The coefficient of intercept = 10.1
coefficient of fertilizer = 1.50
Sample of an Equation of least squares regression line
y = a + bx
where : a = intercept , b = slope
hence the required equation will be
Y = 10.1 + 1.50x
y = yield , x = fertilizer
Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer
Answer:
Pam is correct!
Step-by-step explanation:
Pam is correct it would be between nine minutes and 12!
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The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 747
Answer:
871.5
Step-by-step explanation:
directly proportional
y = kx
y = 12 when x = 14
12 = k(14)
k = 12/14
k = 6/7
--------------------------
what is the value of x when y = 747
747 = (6/7) * x
Multiply both sides by 7/6
747 * 7/6 = x
871.5 = x
Find the value of x. Round to the nearest degree.
Not drawn to scale
Answer:
Dude Where's the Diagram?