Answer:
x = -1/2
Step-by-step explanation:
4x^2 + 4x + 1 = 0
Factor
(2x+1)(2x+1) =0
Using the zero product property
2x+1 = 0 2x+1 =0
2x = -1 2x=-1
x = -1/2 x = -1/2
I NEED HELP !!!!!!!!!!!!!
Instructions find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf tan\Theta=\dfrac{P}{B}}[/tex]
[tex]\\ \sf\longmapsto tan\Theta=\dfrac{13}{46}[/tex]
[tex]\\ \sf\longmapsto tan\theta=0.2[/tex]
[tex]\\ \sf\longmapsto tan\theta=\dfrac{\sqrt{3}}{6}[/tex]
[tex]\\ \sf\longmapsto 3tan\theta=tan60[/tex]
[tex]\\ \sf\longmapsto \theta=\dfrac{60}{3}[/tex]
[tex]\\ \sf\longmapsto \theta=20°[/tex]
Which expression is equivalent to −24x+72?
−24(x−72)negative 24 times open paren x minus 72 close paren
−24(x−3)negative 24 times open paren x minus 3 close paren
24(x+3)24 times open paren x plus 3 close paren
24(x+72)
Answer:-24(x-3) = -24x (-24)(-3)
Step-by-step explanation:
Answer:
eat my hand where the pic
Step-by-step explanation:
yeah
solue for &
X(3 + X) = 3x + x²
3x+x^2=3x+x^2
3x-3x=x^2-x^2
which means x=0
Lem is playing a board game and needs to roll two dice and get a six on both die in order to win the game. What is the probability that Lem will win the game on the next roll? Write your answer as a simplified fraction.
The probability of getting a 6 on one dice is 1/6
The probability of getting a 6 on both dice would be 1/6 x 1/6 = 1/36
Answer: 1/36
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. What assumptions are necessary for this test to be satisfied
Solution :
Given data :
x = 65, n = 300
[tex]$\hat p = \frac{x}{n}[/tex]
[tex]$=\frac{65}{300}$[/tex]
= 0.2167
The hypothesis are :
[tex]$H_0: p \leq 0.3$[/tex]
[tex]$H_0: p> 0.3$[/tex]
The [tex]\text{level of significance}[/tex], α = 0.05
The test is right tailed.
The standard deviation is :
[tex]$\sigma = \sqrt{\frac{0.3(1-0.3)}{300}}$[/tex]
σ = 0.0265
The test statistics is :
[tex]$z=\frac{\hat p - p}{\sigma}$[/tex]
[tex]$z=\frac{0.2167 - 0.3}{0.0265}$[/tex]
= -3.14
The critical value is 1.645
The rejection region is : If z > 1.645, then we reject [tex]H_0[/tex]
Decision :
Since the test statistics does not lie in the rejection, so we fail to . [tex]\text{reject the null hypothesis}[/tex].
P-value : [tex]$P(z > - 3.14)$[/tex] = 0.9992
Therefore, the p-value is not less than the level of significance so we fail to [tex]\text{reject the null hypothesis}[/tex].
Based on the family the graph below belongs to, which equation could represent the graph?
On a coordinate plane, a curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
y = 0.6 Superscript x Baseline minus 2
y = 0.6 x squared minus 1
y = negative 0.6 x cubed minus 1
y = log (x) minus 2
Answer:
A
Step-by-step explanation:
The answer is 0.6^(x)-2. Answered by Gauthmath
From the graph, the equation that's is represented is A. 0.6x - 2.
How to illustrate the graph?From the equation, on the coordinate plane, the curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
Here, based on the family the graph below belongs to, the equation represented is the first equation which is 0.6x - 2.
Learn more about equations on:
https://brainly.com/question/2972832
Someone help me out please
Answer:
142.5
Step-by-step explanation:
π×11²×135/360
= 363π/8
= 142.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m
Consider [tex]\Delta AOB\cong \Delta BDC[/tex].
Given:
[tex]\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.[/tex]
To find:
The length of BC.
Solution:
We have,
[tex]\Delta AOB\cong \Delta BDC[/tex]
We know that the corresponding parts of congruent triangles are congruent (CPCTC).
[tex]AB=BC[/tex] (CPCTC)
[tex]5\ m=BC[/tex]
The length of BC is 5 m. Therefore, the correct option is A.
The number 804 is divisible by what numbers?
Answer: 804 is divisible by 1, 2, 3, 4, 6, 12 ,67 ,134 ,201, 268, 402 ,804
Answer:
The factors of 804 are: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402,804.
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
X =
Answer:
x = 55°
Step-by-step explanation:
The sum of the angles in a triangle is 180°.
x + 75 + 50 = 180
x + 125 = 180
x = 55
Therefore, x = 55°.
Answer:
x = 55
Step-by-step explanation:
the angles of a triangle add up to 180 degrees. So far we have 125 taken up.
We do 180 - 125 = 55.
x = 55
The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.
Answer:
The answer is "(27.030,29.770)"
Step-by-step explanation:
[tex](\bar{x}) = 28.4[/tex]
[tex](n)= 49[/tex]
[tex](\sigma) = 6[/tex]
[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]
[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]
[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]
Instructions: Find the missing side. Round your answer to the nearest
tenth.
15
66°
х
x
=
Answer:
x = 16.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 66 = 15/x
x sin 66 = 15
x = 15/sin 66
x=16.41954
Rounding to the nearest tenth
x = 16.4
Can someone explain this / answer, Its a picture
Answer:
option c is the correct answer (l=1 cm and w=42cm)
Step-by-step explanation:
length(l) = 1.00cm
width(w)= 42.00 cm
ACCORDING TO FORMULA
Area of rectangle = l×w
=1 cm × 42 cm
= 42cm^2
Simplify: -2.6(5-c)-c+8
Answer:
1.6c - 5
Step-by-step explanation:
-2.6 (5 - c) - c + 8
-13 + 2.6c - c + 8
1.6c -13 + 8
1.6c -5
how did they get 3/4 ?
someone please help me explain
Answer: 0.6/0.8
= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}
= 60/80 (cut the zero)
= 6/8 (cut by 2)
= 3/4
If the vertex of an isosceles triangle measures 46°, what is the measure of it’s base angles?
Answer:
67°
Step-by-step explanation:
let the base angle=x
x+x+46=180
2x=180-46=134
x=134/2=67
Help pleaseeeee:)))))))
5 by 3
3rd one
there we have to find hypotenuse.
Answer:
+- 5/3
Step-by-step explanation:
When we construct a right triangle with legs with length 3 and 4. The hypoteneuse must 5. Since tan(x) = opp/adj = 4/3 and sec(x) = hyp/adj,
We get the answer to be 5/3. Now there is a +- there because if we use the unit circle, if we take the point (-3, -4), we get tan(x) = (-4/-3) = 4/3. However, the hypoteneuse for sec(x) is always positive so sec(x) = 5/-3 = -5/3.
That is why there are two solutions, one with the terminal arm in Q3 and one in Q1. But that's the explanation using the unit circle.
what is the product of 7/9 and 1/4 in fraction form?
Answer:
Wdym? that is fraction form, but if you ment decimal form; it is .7777 repeating and .25
Step-by-step explanation:
the radius of a circle is 17m. find its area in terms of pi
Answer:
[tex]289\pi {m}^{2} [/tex]Step-by-step explanation:
Given,
Radius of a circle = 17m
Therefore,
Area in terms of pi
[tex] = \pi {r}^{2} [/tex]
[tex] = \pi \times 17m \times 17m[/tex]
[tex] = 289\pi {m}^{2} (ans)[/tex]
Answer:
A = 289π m²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 17² = 289π m²
hurry PLEASE i'm unsure of this
Answer:
Infinite solutions
Step-by-step explanation:
x + 4y = 7 --------------(I)
8y = 14 - 2x
⇒ 2x + 8y = 14 -----------(II)
[tex]\frac{a_{1}}{a_{2}}=\frac{1}{2}\\\\\frac{b_{1}}{b_{2}}=\frac{4}{8}=\frac{1}{2}\\\\\frac{c_{1}}{c_{2}}=\frac{7}{14}=\frac{1}{2}\\\\\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{2}[/tex]
So, infinite solutions
Answer:
G
Step-by-step explanation:
Given the 2 equations
x + 4y = 7 → (1)
8y = 14 - 2x → (2)
make x the subject of (1) by subtracting 4y from both sides
x = 7 - 4y
Substitute x = 7 - 4y into (2)
8y = 14 - 2(7 - 4y) ← distribute
8y = 14 - 14 + 8y
8y = 8y
Since both sides are equal this indicates the system has infinite solutions
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first.
The system described above is represented by the following equations:
Answer:
Hello,
First equation is false
Second equation is true
Step-by-step explanation:
1)
(4,-3) is a point of the line y=4x-19 since
-3=?4*4-19
-3=-3
2)
(4,-3) is not a point of the line y=1/4x-2 since
-3=? 1/4*4-2
-3=? 1-2
-3≠-1
I have written that because it is difficult for me to understand
"the negative reciprocal of the slope of the first"
the negative reciprocal of 4 should be -1/4.
Equation y=1/4x-2 is false.
What is 6nx + 7p - 14p +2nx - 6x in simplified expression
Answer:
8nx- 7p-6x is your answer .
What is the approximate area of the circle shown below?
Answer:
A = 616 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (14)^2
A = pi (196)
Using 3.14 as an approximation for pi
A = 3.14 *196
A =615.44
The nearest approximation is
A = 616 cm^2
Answer:
D 616 cm^2
Step-by-step explanation:
Area = pi r^2
= 14^2 * 3.142
= 615.832
The amount of grain that a shape will hold is called the surface area.
True
False
Answer:
false =D
Step-by-step explanation:
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
please no wrong answers
what to do next??
Step-by-step explanation:
I am not sure what you want to calculate as ultimate goal.
but your have an error already in your third line in the picture.
(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)
you had there a "+" instead of a "-".
and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.
= 3×2 - 3×4i - 6i×2 + 6i×4i =
= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18
then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.
(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =
= 6 + 12i + 12i + 24×-1 =
= 6 + 24i - 24 = 24i - 18
is that what you wanted to show ?
Find the slope of the line that passes through (75, 7) and (76, 100).
Answer:
93
Step-by-step explanation:
We can use the slope formula when given two points
m = (y2-y1)/(x2-x1)
= ( 100-7)/(76-75)
= 93/1
Answer:
[tex]\displaystyle m = 93[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (75, 7)
Point (76, 100)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{100 - 7}{76 - 75}[/tex]Subtract: [tex]\displaystyle m = \frac{93}{1}[/tex]Simplify: [tex]\displaystyle m = 93[/tex]A set of composite number less than 12.Express it in listing and set-builder methods
composite numbers less than 12={1,3,4,6,8,9,10}
What is the value of 1/4 {38-14} + 3^3 divided by 9
Answer:
9
Step-by-step explanation:
See the picture for steps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]
[tex]\mathsf{38-14=\bf 24}[/tex]
[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]
[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]
[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]
[tex]\mathsf{= \ 6 + 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help pls geometry work
Answer:
294
Step-by-step explanation:
Surface area is the total area of the bases
The cube shown has a side length of 7
Cubes have 6 bases, each being a square, and the area of a square can be calculated by squaring the side length.
7^2 = 49
So the area of 1 base is 49
If we want to find the area of all the bases we multiply the area of 1 base by 6 ( because there are 6 bases )
42 * 6 = 294
The area of all of the bases is 294 so the surface area is 294
